From 849667ac2fb1d8d9dafd2818223ca868a3ff276c Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Wed, 10 Apr 2024 18:34:11 +0200 Subject: [PATCH 01/18] Initial commit --- diagrams/beta.svgz | Bin 0 -> 10282 bytes diagrams/binomial.svgz | Bin 0 -> 7878 bytes diagrams/cauchy.svgz | Bin 0 -> 9816 bytes diagrams/chi_squared.svgz | Bin 0 -> 9168 bytes diagrams/exponential.svgz | Bin 0 -> 7091 bytes diagrams/exponential_exp1.svgz | Bin 0 -> 6548 bytes diagrams/fisher_f.svgz | Bin 0 -> 9209 bytes diagrams/gamma.svgz | Bin 0 -> 9884 bytes diagrams/geometric.svgz | Bin 0 -> 7954 bytes diagrams/gumbel.svgz | Bin 0 -> 9867 bytes diagrams/hypergeometric.svgz | Bin 0 -> 7348 bytes diagrams/inverse_gaussian.svgz | Bin 0 -> 9700 bytes diagrams/log_normal.svgz | Bin 0 -> 8424 bytes diagrams/normal.svgz | Bin 0 -> 9916 bytes diagrams/normal_inverse_gaussian.svgz | Bin 0 -> 6645 bytes diagrams/pareto.svgz | Bin 0 -> 7550 bytes diagrams/pert.svgz | Bin 0 -> 9878 bytes diagrams/poisson.svgz | Bin 0 -> 8530 bytes diagrams/skew_normal.svgz | Bin 0 -> 10688 bytes diagrams/standard_geometric.svgz | Bin 0 -> 7647 bytes diagrams/standard_normal.svgz | Bin 0 -> 7381 bytes diagrams/student_t.svgz | Bin 0 -> 9830 bytes diagrams/triangular.svgz | Bin 0 -> 6356 bytes diagrams/weibull.svgz | Bin 0 -> 7065 bytes diagrams/zeta.svgz | Bin 0 -> 7522 bytes diagrams/zipf.svgz | Bin 0 -> 7641 bytes distr/beta.py | 33 +++++++++++ distr/binomial.py | 29 ++++++++++ distr/cauchy.py | 27 +++++++++ distr/chi_squared.py | 32 +++++++++++ distr/dirichlet.py | 68 +++++++++++++++++++++++ distr/exponential.py | 28 ++++++++++ distr/exponential_exp1.py | 27 +++++++++ distr/fisher_f.py | 33 +++++++++++ distr/frechet.py | 6 ++ distr/gamma.py | 27 +++++++++ distr/geometric.py | 30 ++++++++++ distr/gumbel.py | 27 +++++++++ distr/hypergeometric.py | 29 ++++++++++ distr/inverse_gaussian.py | 28 ++++++++++ distr/log_normal.py | 27 +++++++++ distr/normal.py | 27 +++++++++ distr/normal_inverse_gaussian.py | 27 +++++++++ distr/pareto.py | 27 +++++++++ distr/pert.py | 27 +++++++++ distr/poisson.py | 29 ++++++++++ distr/skew_normal.py | 27 +++++++++ distr/standard_geometric.py | 26 +++++++++ distr/standard_normal.py | 25 +++++++++ distr/student_t.py | 28 ++++++++++ distr/triangular.py | 31 +++++++++++ distr/unit_ball.py | 6 ++ distr/unit_circle.py | 6 ++ distr/unit_disc.py | 6 ++ distr/unit_sphere.py | 6 ++ distr/weibull.py | 28 ++++++++++ distr/zeta.py | 29 ++++++++++ distr/zipf.py | 29 ++++++++++ main.py | 77 ++++++++++++++++++++++++++ requirements.txt | 3 + 60 files changed, 915 insertions(+) create mode 100644 diagrams/beta.svgz create mode 100644 diagrams/binomial.svgz create mode 100644 diagrams/cauchy.svgz create mode 100644 diagrams/chi_squared.svgz create mode 100644 diagrams/exponential.svgz create mode 100644 diagrams/exponential_exp1.svgz create mode 100644 diagrams/fisher_f.svgz create mode 100644 diagrams/gamma.svgz create mode 100644 diagrams/geometric.svgz create mode 100644 diagrams/gumbel.svgz create mode 100644 diagrams/hypergeometric.svgz create mode 100644 diagrams/inverse_gaussian.svgz create mode 100644 diagrams/log_normal.svgz create mode 100644 diagrams/normal.svgz create mode 100644 diagrams/normal_inverse_gaussian.svgz create mode 100644 diagrams/pareto.svgz create mode 100644 diagrams/pert.svgz create mode 100644 diagrams/poisson.svgz create mode 100644 diagrams/skew_normal.svgz create mode 100644 diagrams/standard_geometric.svgz create mode 100644 diagrams/standard_normal.svgz create mode 100644 diagrams/student_t.svgz create mode 100644 diagrams/triangular.svgz create mode 100644 diagrams/weibull.svgz create mode 100644 diagrams/zeta.svgz create mode 100644 diagrams/zipf.svgz create mode 100644 distr/beta.py create mode 100644 distr/binomial.py create mode 100644 distr/cauchy.py create mode 100644 distr/chi_squared.py create mode 100644 distr/dirichlet.py create mode 100644 distr/exponential.py create mode 100644 distr/exponential_exp1.py create mode 100644 distr/fisher_f.py create mode 100644 distr/frechet.py create mode 100644 distr/gamma.py create mode 100644 distr/geometric.py create mode 100644 distr/gumbel.py create mode 100644 distr/hypergeometric.py create mode 100644 distr/inverse_gaussian.py create mode 100644 distr/log_normal.py create mode 100644 distr/normal.py create mode 100644 distr/normal_inverse_gaussian.py create mode 100644 distr/pareto.py create mode 100644 distr/pert.py create mode 100644 distr/poisson.py create mode 100644 distr/skew_normal.py create mode 100644 distr/standard_geometric.py create mode 100644 distr/standard_normal.py create mode 100644 distr/student_t.py create mode 100644 distr/triangular.py create mode 100644 distr/unit_ball.py create mode 100644 distr/unit_circle.py create mode 100644 distr/unit_disc.py create mode 100644 distr/unit_sphere.py create mode 100644 distr/weibull.py create mode 100644 distr/zeta.py create mode 100644 distr/zipf.py create mode 100644 main.py create 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z9O)|c!5P1^W4k29kfPI@si58|RS`eWr>60Rt*J2O0OrRJAOR9xs-OD|KiVGrxZTaQ z&oP+MuhVTgfNtXen!S!+1Nf2S_kW2%%{Bu45rT2*ae_&)cP50i&Y8Eit8u%VYu_Z8 z$&W2_RZ*ulyOs))RIj-yI)?cCi#*Q zwODi 4] = np.nan + return y + + inputs = [(0.5, 0.5), (5, 1), (1, 3), (2, 2), (2, 5)] + # Possible values for the distribution + x = np.linspace(0, 1, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of alpha and beta + for a, b in inputs: + ax.plot(x, y(a, b, x), label=f'α = {a}, β = {b}') + + # Adding title and labels + ax.set_title('Beta distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/beta.{extension}") + plt.close() diff --git a/distr/binomial.py b/distr/binomial.py new file mode 100644 index 0000000..223b457 --- /dev/null +++ b/distr/binomial.py @@ -0,0 +1,29 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import binom + + +def save_to(directory: str, extension: str): + inputs = [(10, 0.2), (10, 0.6)] + # Possible outcomes for a Binomial distributed variable + outcomes = np.arange(0, 11) + width = 0.5 + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PMF for each value of n and p + for i, (n, p) in enumerate(inputs): + ax.bar(outcomes + i * width - width / 2, binom.pmf(outcomes, n, p), width=width, label=f'n = {n}, p = {p}') + + # Adding title and labels + ax.set_title('Binomial distribution') + ax.set_xlabel('k (number of successes)') + ax.set_ylabel('Probability') + ax.set_xticks(outcomes) # set the ticks to be the outcome values + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/binomial.{extension}") + plt.close() diff --git a/distr/cauchy.py b/distr/cauchy.py new file mode 100644 index 0000000..d3e6d5d --- /dev/null +++ b/distr/cauchy.py @@ -0,0 +1,27 @@ +import numpy as np +import matplotlib.pyplot as plt + + +def save_to(directory: str, extension: str): + # Possible values for the distribution + x = np.linspace(-7, 7, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + inputs = [(0, 0.5), (0, 1), (0, 2), (-2, 1)] + + # Plotting the PDF for the Cauchy distribution + for x0, gamma in inputs: + ax.plot(x, 1 / (np.pi * gamma * (1 + ((x - x0) / gamma)**2)), label=f'x₀ = {x0}, γ = {gamma}') + + # Adding title and labels + ax.set_title('Cauchy distribution') + ax.set_xlabel('x') + ax.set_ylabel('P(x)') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/cauchy.{extension}") + plt.close() diff --git a/distr/chi_squared.py b/distr/chi_squared.py new file mode 100644 index 0000000..8782996 --- /dev/null +++ b/distr/chi_squared.py @@ -0,0 +1,32 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import chi2 + + +def save_to(directory: str, extension: str): + def y(x, df): + y = chi2.pdf(x, df) + y[y > 1.0] = np.nan + return y + # Degrees of freedom for the distribution + df_values = [1, 2, 3, 5, 9] + # Possible values for the distribution + x = np.linspace(0, 10, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of the degrees of freedom + for df in df_values: + ax.plot(x, y(x, df), label=f'k = {df}') + + # Adding title and labels + ax.set_title('Chi-squared distribution') + ax.set_xlabel('Chi-squared statistic') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/chi_squared.{extension}") + plt.close() diff --git a/distr/dirichlet.py b/distr/dirichlet.py new file mode 100644 index 0000000..0c04fce --- /dev/null +++ b/distr/dirichlet.py @@ -0,0 +1,68 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import dirichlet + + +def save_to(directory: str, extension: str): + def plot_dirichlet(alpha, ax): + """ + Plots a Dirichlet distribution given alpha parameters and axis. + """ + # Create a 2D meshgrid of points + resolution = 200 # Resolution of the visualization + x = np.linspace(0, 1, resolution) + y = np.linspace(0, 1, resolution) + X, Y = np.meshgrid(x, y) + # Flatten the grid to pass to the distribution + XY = np.vstack((X.flatten(), Y.flatten())) + + # Calculate remaining coordinate for the 3-simplex (3D Dirichlet is defined on a triangle in 2D) + Z = 1 - X - Y + # Filter out points outside the triangle + valid = (Z >= 0) + # Prepare the probability density function (PDF) array + PDF = np.zeros(X.shape).flatten() + + # Calculate PDF only for valid points + if np.any(valid): + # The 3rd coordinate for the Dirichlet distribution + Z_valid = Z.flatten()[valid] + # Stack the coordinates for the distribution input + XYZ_valid = np.vstack((XY[:, valid], Z_valid)) + # Calculate the Dirichlet PDF + PDF[valid] = dirichlet.pdf(XYZ_valid.T, alpha) + + # Reshape PDF back into the 2D shape of the grid + PDF = PDF.reshape(X.shape) + + # Create a contour plot on the provided axis + contour = ax.contourf(X, Y, PDF, levels=15, cmap='Blues') + # Add a colorbar + plt.colorbar(contour, ax=ax, pad=0.05, aspect=10) + # Set limits and labels + ax.set_xlim(0, 1) + ax.set_ylim(0, 1) + ax.set_xticks([]) + ax.set_yticks([]) + ax.set_xlabel(r'$x_1$', fontsize=12) + ax.set_ylabel(r'$x_2$', fontsize=12) + # Set title for the subplot + ax.set_title(r'$\alpha = {}$'.format(alpha), fontsize=14) + + # Define alpha parameters for the Dirichlet distributions to be plotted + alpha_params = [ + (1.5, 1.5, 1.5), + (5.0, 5.0, 5.0), + (1.0, 2.0, 2.0), + (2.0, 4.0, 8.0) + ] + + # Create a figure with subplots + fig, axes = plt.subplots(2, 2, figsize=(10, 8)) + + # Loop through the list of alpha parameters + for alpha, ax in zip(alpha_params, axes.flatten()): + plot_dirichlet(alpha, ax) + + plt.savefig(f"{directory}/dirichlet.{extension}") + plt.close() diff --git a/distr/exponential.py b/distr/exponential.py new file mode 100644 index 0000000..d39c805 --- /dev/null +++ b/distr/exponential.py @@ -0,0 +1,28 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import expon + + +def save_to(directory: str, extension: str): + # Possible values of lambda for the distribution + lambda_values = [0.5, 1, 2] + # Possible values for the distribution + x = np.linspace(0, 5, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of lambda + for lmbda in lambda_values: + ax.plot(x, expon.pdf(x, scale=1 / lmbda), label=f'λ = {lmbda}') + + # Adding title and labels + ax.set_title('Exponential distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/exponential.{extension}") + plt.close() diff --git a/distr/exponential_exp1.py b/distr/exponential_exp1.py new file mode 100644 index 0000000..cdcf061 --- /dev/null +++ b/distr/exponential_exp1.py @@ -0,0 +1,27 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import expon + + +def save_to(directory: str, extension: str): + # Fixed value for lambda + lmbda = 1 + # Possible values for the distribution + x = np.linspace(0, 5, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of lambda + ax.plot(x, expon.pdf(x, scale=1 / lmbda), label=f'λ = {lmbda}') + + # Adding title and labels + ax.set_title('Exponential distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/exponential_exp1.{extension}") + plt.close() diff --git a/distr/fisher_f.py b/distr/fisher_f.py new file mode 100644 index 0000000..0187d5c --- /dev/null +++ b/distr/fisher_f.py @@ -0,0 +1,33 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import f + + +def save_to(directory: str, extension: str): + def y(x, dfn, dfd): + y = f.pdf(x, dfn, dfd) + y[y > 2.1] = np.nan + return y + + # Degrees of freedom for the distribution + d1_d2 = [(1, 1), (2, 1), (5, 2), (10, 1), (100, 100)] + # Possible values for the distribution + x = np.linspace(0, 5, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of the degrees of freedom + for m, n in d1_d2: + ax.plot(x, y(x, m, n), label=f'm = {m}, n = {n}') + + # Adding title and labels + ax.set_title('F-distribution') + ax.set_xlabel('F statistic') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/fisher_f.{extension}") + plt.close() diff --git a/distr/frechet.py b/distr/frechet.py new file mode 100644 index 0000000..d0fb58d --- /dev/null +++ b/distr/frechet.py @@ -0,0 +1,6 @@ +import numpy as np +import matplotlib.pyplot as plt + + +def save_to(directory: str, extension: str): + pass diff --git a/distr/gamma.py b/distr/gamma.py new file mode 100644 index 0000000..9ab212a --- /dev/null +++ b/distr/gamma.py @@ -0,0 +1,27 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import gamma + + +def save_to(directory: str, extension: str): + inputs = [(1, 1), (2, 1), (3, 1), (1, 2), (2, 2), (3, 2)] + # Possible values for the distribution + x = np.linspace(0, 7, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of alpha and beta + for k, theta in inputs: + ax.plot(x, gamma.pdf(x, k, scale=theta), label=f'k = {k}, θ = {theta}') + + # Adding title and labels + ax.set_title('Gamma distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/gamma.{extension}") + plt.close() diff --git a/distr/geometric.py b/distr/geometric.py new file mode 100644 index 0000000..355bb3c --- /dev/null +++ b/distr/geometric.py @@ -0,0 +1,30 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import geom + + +def save_to(directory: str, extension: str): + # Possible values of p for the distribution + p_values = [0.2, 0.5, 0.8] + # Possible outcomes for a Geometric distributed variable + outcomes = np.arange(1, 11) + + # Creating the figure and the axis + fig, ax = plt.subplots() + width = 0.2 + + # Plotting the PMF for each value of p + for i, p in enumerate(p_values): + ax.bar(outcomes + i * width - width / 2, geom.pmf(outcomes, p), width=width, label=f'p = {p}') + + # Adding title and labels + ax.set_title('Geometric distribution') + ax.set_xlabel('Number of trials until first success') + ax.set_ylabel('Probability') + ax.set_xticks(outcomes) # set the ticks to be the outcome values + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/geometric.{extension}") + plt.close() diff --git a/distr/gumbel.py b/distr/gumbel.py new file mode 100644 index 0000000..a372bf5 --- /dev/null +++ b/distr/gumbel.py @@ -0,0 +1,27 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import gumbel_r + + +def save_to(directory: str, extension: str): + inputs = [(0, 0.5), (0, 1), (0, 2), (-2, 1)] + # Possible values for the distribution + x = np.linspace(-5, 5, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of mu and beta + for mu, beta in inputs: + ax.plot(x, gumbel_r.pdf(x, loc=mu, scale=beta), label=f'μ = {mu}, β = {beta}') + + # Adding title and labels + ax.set_title('Gumbel distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/gumbel.{extension}") + plt.close() diff --git a/distr/hypergeometric.py b/distr/hypergeometric.py new file mode 100644 index 0000000..bcc61b5 --- /dev/null +++ b/distr/hypergeometric.py @@ -0,0 +1,29 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import hypergeom + + +def save_to(directory: str, extension: str): + inputs = [(20, 7, 12), (20, 7, 5)] + # Possible outcomes for a Hypergeometric distributed variable + outcomes = np.arange(0, 8) + width = 0.5 + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PMF for each value of N, K, and n + for i, (N, K, n) in enumerate(inputs): + ax.bar(outcomes + i * width - width / 2, hypergeom.pmf(outcomes, N, K, n), width=width, label=f'N = {N}, K = {K}, n = {n}') + + # Adding title and labels + ax.set_title('Hypergeometric distribution') + ax.set_xlabel('Number of successes in the sample') + ax.set_ylabel('Probability') + ax.set_xticks(outcomes) # set the ticks to be the outcome values + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/hypergeometric.{extension}") + plt.close() diff --git a/distr/inverse_gaussian.py b/distr/inverse_gaussian.py new file mode 100644 index 0000000..578a387 --- /dev/null +++ b/distr/inverse_gaussian.py @@ -0,0 +1,28 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import invgauss + + +def save_to(directory: str, extension: str): + # Possible values for the distribution + x = np.linspace(0, 5, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + inputs = [(1, 1), (1, 2), (2, 1), (2, 2)] + + # Plotting the PDF for the Inverse Gaussian distribution + for mu, lambda_ in inputs: + ax.plot(x, invgauss.pdf(x, mu, scale=lambda_), label=f'μ = {mu}, λ = {lambda_}') + + # Adding title and labels + ax.set_title('Inverse Gaussian distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/inverse_gaussian.{extension}") + plt.close() diff --git a/distr/log_normal.py b/distr/log_normal.py new file mode 100644 index 0000000..1e690f5 --- /dev/null +++ b/distr/log_normal.py @@ -0,0 +1,27 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import lognorm + + +def save_to(directory: str, extension: str): + inputs = [(0, 0.5), (0, 1), (0, 2), (-2, 1)] + # Possible values for the distribution + x = np.linspace(0, 5, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of mu and sigma + for mu, sigma in inputs: + ax.plot(x, lognorm.pdf(x, s=sigma, scale=np.exp(mu)), label=f'μ = {mu}, σ = {sigma}') + + # Adding title and labels + ax.set_title('Log-normal distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/log_normal.{extension}") + plt.close() diff --git a/distr/normal.py b/distr/normal.py new file mode 100644 index 0000000..6cae4e8 --- /dev/null +++ b/distr/normal.py @@ -0,0 +1,27 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import norm + + +def save_to(directory: str, extension: str): + inputs = [(0, 0.5), (0, 1), (0, 2), (-2, 1)] + # Possible values for the distribution + x = np.linspace(-5, 5, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of mu and sigma + for mu, sigma in inputs: + ax.plot(x, norm.pdf(x, loc=mu, scale=sigma), label=f'μ = {mu}, σ = {sigma}') + + # Adding title and labels + ax.set_title('Normal distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/normal.{extension}") + plt.close() diff --git a/distr/normal_inverse_gaussian.py b/distr/normal_inverse_gaussian.py new file mode 100644 index 0000000..3ac9c3c --- /dev/null +++ b/distr/normal_inverse_gaussian.py @@ -0,0 +1,27 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import norminvgauss + + +def save_to(directory: str, extension: str): + inputs = [(1, 1, 0, 1), (1, 1, 0, 2), (1, 1, -1, 1), (1, 1, 1, 1)] + # Possible values for the distribution + x = np.linspace(-5, 5, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for the Normal Inverse Gaussian distribution + for alpha, beta, mu, delta in inputs: + ax.plot(x, norminvgauss.pdf(x, alpha, beta, mu, delta), label=f'α = {alpha}, β = {beta}, μ = {mu}, δ = {delta}') + + # Adding title and labels + ax.set_title('Normal Inverse Gaussian distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/normal_inverse_gaussian.{extension}") + plt.close() diff --git a/distr/pareto.py b/distr/pareto.py new file mode 100644 index 0000000..2ef7a89 --- /dev/null +++ b/distr/pareto.py @@ -0,0 +1,27 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import pareto + + +def save_to(directory: str, extension: str): + inputs = [1, 2, 3, 4] + # Possible values for the distribution + x = np.linspace(0, 5, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of alpha + for alpha in inputs: + ax.plot(x, pareto.pdf(x, alpha), label=f'α = {alpha}') + + # Adding title and labels + ax.set_title('Pareto distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/pareto.{extension}") + plt.close() diff --git a/distr/pert.py b/distr/pert.py new file mode 100644 index 0000000..6f117d4 --- /dev/null +++ b/distr/pert.py @@ -0,0 +1,27 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import beta + + +def save_to(directory: str, extension: str): + inputs = [(1, 1, 0), (2, 2, 0), (4, 4, 0), (2, 3, 0), (3, 2, 0)] + # Possible values for the distribution + x = np.linspace(0, 1, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of a, b, and c + for a, b, c in inputs: + ax.plot(x, beta.pdf(x, a, b, loc=c), label=f'a = {a}, b = {b}, c = {c}') + + # Adding title and labels + ax.set_title('Pert distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/pert.{extension}") + plt.close() diff --git a/distr/poisson.py b/distr/poisson.py new file mode 100644 index 0000000..c92a4a3 --- /dev/null +++ b/distr/poisson.py @@ -0,0 +1,29 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import poisson + + +def save_to(directory: str, extension: str): + # Possible values of lambda for the distribution + lambda_values = [0.5, 1, 2, 4, 10] + # Possible outcomes for a Poisson distributed variable + outcomes = np.arange(0, 15) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PMF for each value of lambda + for i, lmbda in enumerate(lambda_values): + ax.plot(outcomes, poisson.pmf(outcomes, lmbda), 'o-', label=f'λ = {lmbda}') + + # Adding title and labels + ax.set_title('Poisson distribution') + ax.set_xlabel('Outcome') + ax.set_ylabel('Probability') + ax.set_xticks(outcomes) # set the ticks to be the outcome values + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/poisson.{extension}") + plt.close() diff --git a/distr/skew_normal.py b/distr/skew_normal.py new file mode 100644 index 0000000..2294cda --- /dev/null +++ b/distr/skew_normal.py @@ -0,0 +1,27 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import skewnorm + + +def save_to(directory: str, extension: str): + inputs = [-5, -2, 0, 2, 5] + # Possible values for the distribution + x = np.linspace(-5, 5, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of alpha + for alpha in inputs: + ax.plot(x, skewnorm.pdf(x, alpha), label=f'α = {alpha}') + + # Adding title and labels + ax.set_title('Skew Normal distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/skew_normal.{extension}") + plt.close() diff --git a/distr/standard_geometric.py b/distr/standard_geometric.py new file mode 100644 index 0000000..d58628d --- /dev/null +++ b/distr/standard_geometric.py @@ -0,0 +1,26 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import geom + + +def save_to(directory: str, extension: str): + # Possible outcomes for a Geometric distributed variable + outcomes = np.arange(1, 11) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PMF for the standard Geometric distribution + ax.bar(outcomes, geom.pmf(outcomes, 0.5), label=f'p = 0.5') + + # Adding title and labels + ax.set_title('Standard Geometric distribution') + ax.set_xlabel('Number of trials until first success') + ax.set_ylabel('Probability') + ax.set_xticks(outcomes) # set the ticks to be the outcome values + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/standard_geometric.{extension}") + plt.close() diff --git a/distr/standard_normal.py b/distr/standard_normal.py new file mode 100644 index 0000000..978c737 --- /dev/null +++ b/distr/standard_normal.py @@ -0,0 +1,25 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import norm + + +def save_to(directory: str, extension: str): + # Possible values for the distribution + x = np.linspace(-5, 5, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for the standard normal distribution + ax.plot(x, norm.pdf(x), label=f'μ = 0, σ = 1') + + # Adding title and labels + ax.set_title('Standard normal distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/standard_normal.{extension}") + plt.close() diff --git a/distr/student_t.py b/distr/student_t.py new file mode 100644 index 0000000..799d237 --- /dev/null +++ b/distr/student_t.py @@ -0,0 +1,28 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import t + + +def save_to(directory: str, extension: str): + # Degrees of freedom for the distribution + df_values = [1, 2, 5, np.inf] + # Possible values for the distribution + x = np.linspace(-5, 5, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of the degrees of freedom + for df in df_values: + ax.plot(x, t.pdf(x, df), label=f'nu = {df}') + + # Adding title and labels + ax.set_title('T-distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/student_t.{extension}") + plt.close() diff --git a/distr/triangular.py b/distr/triangular.py new file mode 100644 index 0000000..47c4730 --- /dev/null +++ b/distr/triangular.py @@ -0,0 +1,31 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import triang + + +def save_to(directory: str, extension: str): + # Defining the Triangular distribution PDF + def y(a, b, c, x): + return triang.pdf(x, c=(c - a) / (b - a), loc=a, scale=b - a) + + inputs = [(0, 1, 0.5), (0, 1, 0.25), (0, 1, 0.75), (-1, 1, 0)] + # Possible values for the distribution + x = np.linspace(-1, 1, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of a, b, and c + for a, b, c in inputs: + ax.plot(x, y(a, b, c, x), label=f'a = {a}, b = {b}, c = {c}') + + # Adding title and labels + ax.set_title('Triangular distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/triangular.{extension}") + plt.close() diff --git a/distr/unit_ball.py b/distr/unit_ball.py new file mode 100644 index 0000000..d0fb58d --- /dev/null +++ b/distr/unit_ball.py @@ -0,0 +1,6 @@ +import numpy as np +import matplotlib.pyplot as plt + + +def save_to(directory: str, extension: str): + pass diff --git a/distr/unit_circle.py b/distr/unit_circle.py new file mode 100644 index 0000000..d0fb58d --- /dev/null +++ b/distr/unit_circle.py @@ -0,0 +1,6 @@ +import numpy as np +import matplotlib.pyplot as plt + + +def save_to(directory: str, extension: str): + pass diff --git a/distr/unit_disc.py b/distr/unit_disc.py new file mode 100644 index 0000000..d0fb58d --- /dev/null +++ b/distr/unit_disc.py @@ -0,0 +1,6 @@ +import numpy as np +import matplotlib.pyplot as plt + + +def save_to(directory: str, extension: str): + pass diff --git a/distr/unit_sphere.py b/distr/unit_sphere.py new file mode 100644 index 0000000..d0fb58d --- /dev/null +++ b/distr/unit_sphere.py @@ -0,0 +1,6 @@ +import numpy as np +import matplotlib.pyplot as plt + + +def save_to(directory: str, extension: str): + pass diff --git a/distr/weibull.py b/distr/weibull.py new file mode 100644 index 0000000..51acde8 --- /dev/null +++ b/distr/weibull.py @@ -0,0 +1,28 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import weibull_min + + +def save_to(directory: str, extension: str): + # Possible values of alpha for the distribution + alpha_values = [0.5, 1, 2] + # Possible values for the distribution + x = np.linspace(0, 5, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of alpha + for alpha in alpha_values: + ax.plot(x, weibull_min.pdf(x, alpha), label=f'α = {alpha}') + + # Adding title and labels + ax.set_title('Weibull distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/weibull.{extension}") + plt.close() diff --git a/distr/zeta.py b/distr/zeta.py new file mode 100644 index 0000000..ca128a5 --- /dev/null +++ b/distr/zeta.py @@ -0,0 +1,29 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import zipf + + +def save_to(directory: str, extension: str): + # Possible values of s for the distribution + s_values = [1.5, 2, 3] + # Possible outcomes for a Zeta distributed variable + outcomes = np.arange(1, 11) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PMF for each value of s + for i, s in enumerate(s_values): + ax.bar(outcomes + i * 0.2 - 0.1, zipf.pmf(outcomes, s), width=0.2, label=f's = {s}') + + # Adding title and labels + ax.set_title('Zeta distribution') + ax.set_xlabel('Outcome') + ax.set_ylabel('Probability') + ax.set_xticks(outcomes) # set the ticks to be the outcome values + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/zeta.{extension}") + plt.close() diff --git a/distr/zipf.py b/distr/zipf.py new file mode 100644 index 0000000..5011347 --- /dev/null +++ b/distr/zipf.py @@ -0,0 +1,29 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.stats import zipf + + +def save_to(directory: str, extension: str): + # Possible values of a for the distribution + a_values = [1.5, 2, 3] + # Possible outcomes for a Zipf distributed variable + outcomes = np.arange(1, 11) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PMF for each value of a + for i, a in enumerate(a_values): + ax.bar(outcomes + i * 0.2 - 0.1, zipf.pmf(outcomes, a), width=0.2, label=f'a = {a}') + + # Adding title and labels + ax.set_title('Zipf distribution') + ax.set_xlabel('Outcome') + ax.set_ylabel('Probability') + ax.set_xticks(outcomes) # set the ticks to be the outcome values + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/zipf.{extension}") + plt.close() diff --git a/main.py b/main.py new file mode 100644 index 0000000..85b2fae --- /dev/null +++ b/main.py @@ -0,0 +1,77 @@ +import os +from distr import ( + beta, + binomial, + cauchy, + chi_squared, + dirichlet, + exponential, + exponential_exp1, + fisher_f, + frechet, + gamma, + geometric, + gumbel, + hypergeometric, + inverse_gaussian, + log_normal, + normal, + normal_inverse_gaussian, + pareto, + pert, + poisson, + skew_normal, + standard_geometric, + standard_normal, + student_t, + triangular, + unit_ball, + unit_circle, + unit_disc, + unit_sphere, + weibull, + zeta, + zipf, +) + + +if __name__ == "__main__": + out = "diagrams" + ext = "svgz" + if not os.path.exists(out): + os.makedirs(out) + for distr in ( + beta, + binomial, + cauchy, + chi_squared, + # dirichlet, + exponential, + exponential_exp1, + fisher_f, + frechet, + gamma, + geometric, + gumbel, + hypergeometric, + inverse_gaussian, + log_normal, + normal, + normal_inverse_gaussian, + pareto, + pert, + poisson, + skew_normal, + standard_geometric, + standard_normal, + student_t, + triangular, + unit_ball, + unit_circle, + unit_disc, + unit_sphere, + weibull, + zeta, + zipf, + ): + distr.save_to(out, ext) diff --git a/requirements.txt b/requirements.txt new file mode 100644 index 0000000..f1161d4 --- /dev/null +++ b/requirements.txt @@ -0,0 +1,3 @@ +numpy==1.26.4 +matplotlib==3.8.4 +scipy==1.13.0 \ No newline at end of file From bfb00dd7702135521011fcb4bfb8b20b46abd186 Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Thu, 11 Apr 2024 01:22:17 +0200 Subject: [PATCH 02/18] Save as svg --- diagrams/beta.svg | 1462 ++++++++++++++++++++ diagrams/beta.svgz | Bin 10282 -> 0 bytes diagrams/binomial.svg | 1427 ++++++++++++++++++++ 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Calculate PDF only for valid points - if np.any(valid): - # The 3rd coordinate for the Dirichlet distribution - Z_valid = Z.flatten()[valid] - # Stack the coordinates for the distribution input - XYZ_valid = np.vstack((XY[:, valid], Z_valid)) - # Calculate the Dirichlet PDF - PDF[valid] = dirichlet.pdf(XYZ_valid.T, alpha) + # Calculate the Dirichlet PDF for valid points + PDF = dirichlet.pdf(points, alpha) - # Reshape PDF back into the 2D shape of the grid - PDF = PDF.reshape(X.shape) + # Reshape PDF back into a 2D array for contour plotting + # Initialize full grid PDF to zero (areas outside the triangle remain zero) + full_PDF = np.zeros((resolution, resolution)) + full_PDF[valid] = PDF # Place the calculated PDF in the valid grid positions # Create a contour plot on the provided axis - contour = ax.contourf(X, Y, PDF, levels=15, cmap='Blues') - # Add a colorbar + contour = ax.contourf(np.linspace(0, 1, resolution), np.linspace(0, 1, resolution), full_PDF, levels=50, cmap='Blues') plt.colorbar(contour, ax=ax, pad=0.05, aspect=10) - # Set limits and labels ax.set_xlim(0, 1) ax.set_ylim(0, 1) ax.set_xticks([]) ax.set_yticks([]) ax.set_xlabel(r'$x_1$', fontsize=12) ax.set_ylabel(r'$x_2$', fontsize=12) - # Set title for the subplot ax.set_title(r'$\alpha = {}$'.format(alpha), fontsize=14) # Define alpha parameters for the Dirichlet distributions to be plotted @@ -65,4 +60,4 @@ def plot_dirichlet(alpha, ax): plot_dirichlet(alpha, ax) plt.savefig(f"{directory}/dirichlet.{extension}") - plt.close() + plt.close() \ No newline at end of file diff --git a/distr/exponential.py b/distr/exponential.py index d39c805..f0ee454 100644 --- a/distr/exponential.py +++ b/distr/exponential.py @@ -5,7 +5,7 @@ def save_to(directory: str, extension: str): # Possible values of lambda for the distribution - lambda_values = [0.5, 1, 2] + lambda_values = [1, 0.5, 2] # Possible values for the distribution x = np.linspace(0, 5, 1000) diff --git a/distr/hypergeometric.py b/distr/hypergeometric.py index bcc61b5..453e5c6 100644 --- a/distr/hypergeometric.py +++ b/distr/hypergeometric.py @@ -4,9 +4,9 @@ def save_to(directory: str, extension: str): - inputs = [(20, 7, 12), (20, 7, 5)] + inputs = [(50, 12, 10), (50, 35, 10)] # Possible outcomes for a Hypergeometric distributed variable - outcomes = np.arange(0, 8) + outcomes = np.arange(0, 10) width = 0.5 # Creating the figure and the axis diff --git a/distr/normal_inverse_gaussian.py b/distr/normal_inverse_gaussian.py index 3ac9c3c..ec69ec2 100644 --- a/distr/normal_inverse_gaussian.py +++ b/distr/normal_inverse_gaussian.py @@ -4,12 +4,12 @@ def save_to(directory: str, extension: str): - inputs = [(1, 1, 0, 1), (1, 1, 0, 2), (1, 1, -1, 1), (1, 1, 1, 1)] + inputs = [(1, 0, 0, 1), (3, 0, 0, 1), (1, 0.9, 0, 1), (1, 0, -1, 1), (1, 0, 0, 3)] # Possible values for the distribution x = np.linspace(-5, 5, 1000) # Creating the figure and the axis - fig, ax = plt.subplots() + fig, ax = plt.subplots(figsize=(8, 5)) # Plotting the PDF for the Normal Inverse Gaussian distribution for alpha, beta, mu, delta in inputs: diff --git a/distr/pareto.py b/distr/pareto.py index 2ef7a89..5bbd1d0 100644 --- a/distr/pareto.py +++ b/distr/pareto.py @@ -6,7 +6,7 @@ def save_to(directory: str, extension: str): inputs = [1, 2, 3, 4] # Possible values for the distribution - x = np.linspace(0, 5, 1000) + x = np.linspace(0, 3, 1000) # Creating the figure and the axis fig, ax = plt.subplots() diff --git a/distr/pert.py b/distr/pert.py index 6f117d4..cabc403 100644 --- a/distr/pert.py +++ b/distr/pert.py @@ -4,16 +4,20 @@ def save_to(directory: str, extension: str): - inputs = [(1, 1, 0), (2, 2, 0), (4, 4, 0), (2, 3, 0), (3, 2, 0)] + def y(x, min_value, mode, max_value, shape): + a = 1 + shape * (mode - min_value) / (max_value - min_value) + b = 1 + shape * (max_value - mode) / (max_value - min_value) + return beta.pdf(x, a, b, loc=min_value, scale=max_value - min_value) + inputs = [(0, 1, 2, 4)] # Possible values for the distribution - x = np.linspace(0, 1, 1000) + x = np.linspace(0, 100, 1000) # Creating the figure and the axis fig, ax = plt.subplots() # Plotting the PDF for each value of a, b, and c - for a, b, c in inputs: - ax.plot(x, beta.pdf(x, a, b, loc=c), label=f'a = {a}, b = {b}, c = {c}') + for min, mode, max, shape in inputs: + ax.plot(x, y(x, min, max, mode, shape), label=f'a = {min}, b = {mode}, c = {max}, shape = {shape}') # Adding title and labels ax.set_title('Pert distribution') diff --git a/main.py b/main.py index 85b2fae..3acf030 100644 --- a/main.py +++ b/main.py @@ -37,41 +37,41 @@ if __name__ == "__main__": out = "diagrams" - ext = "svgz" + ext = "svg" if not os.path.exists(out): os.makedirs(out) for distr in ( - beta, - binomial, - cauchy, - chi_squared, + # beta, + # binomial, + # cauchy, + # chi_squared, # dirichlet, - exponential, - exponential_exp1, - fisher_f, - frechet, - gamma, - geometric, - gumbel, - hypergeometric, - inverse_gaussian, - log_normal, - normal, - normal_inverse_gaussian, - pareto, + # exponential, + # exponential_exp1, + # fisher_f, + # frechet, + # gamma, + # geometric, + # gumbel, + # hypergeometric, + # inverse_gaussian, + # log_normal, + # normal, + # normal_inverse_gaussian, + # pareto, pert, - poisson, - skew_normal, - standard_geometric, - standard_normal, - student_t, - triangular, - unit_ball, - unit_circle, - unit_disc, - unit_sphere, - weibull, - zeta, - zipf, + # poisson, + # skew_normal, + # standard_geometric, + # standard_normal, + # student_t, + # triangular, + # unit_ball, + # unit_circle, + # unit_disc, + # unit_sphere, + # weibull, + # zeta, + # zipf, ): distr.save_to(out, ext) From e37e34660402930952c6dafe1f0981a2cf3611d8 Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Thu, 11 Apr 2024 12:55:41 +0200 Subject: [PATCH 03/18] Update some charts --- diagrams/cauchy.svg | 759 ++++++++++++++++++------------------ diagrams/fisher_f.svg | 88 ++--- diagrams/gumbel.svg | 206 +++++----- diagrams/log_normal.svg | 824 ++++++++++++++++++++++++++-------------- diagrams/normal.svg | 206 +++++----- diagrams/student_t.svg | 318 +++++++++++++--- diagrams/weibull.svg | 799 ++++++++++++++++++++++++-------------- distr/cauchy.py | 4 +- distr/fisher_f.py | 2 +- distr/gumbel.py | 2 +- distr/log_normal.py | 2 +- distr/normal.py | 2 +- distr/student_t.py | 2 +- distr/weibull.py | 10 +- main.py | 4 +- 15 files changed, 1968 insertions(+), 1260 deletions(-) diff --git a/diagrams/cauchy.svg b/diagrams/cauchy.svg index 90ff98b..21de1e5 100644 --- a/diagrams/cauchy.svg +++ b/diagrams/cauchy.svg @@ -6,7 +6,7 @@ - 2024-04-11T00:21:16.648270 + 2024-04-11T12:32:51.523596 image/svg+xml @@ -41,12 +41,12 @@ z - - + @@ -99,7 +99,7 @@ z - + @@ -134,7 +134,7 @@ z - + @@ -174,7 +174,7 @@ z - + @@ -210,7 +210,7 @@ z - + @@ -223,7 +223,7 @@ z - + @@ -236,7 +236,7 @@ z - + @@ -274,12 +274,12 @@ z - - + @@ -303,7 +303,7 @@ z - + @@ -334,7 +334,7 @@ z - + @@ -349,7 +349,7 @@ z - + @@ -398,7 +398,7 @@ z - + @@ -413,7 +413,7 @@ z - + 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@@ -1174,18 +1409,20 @@ L 326.92625 69.248563 - + + + - - + - + - + @@ -1200,35 +1437,60 @@ L 326.92625 83.926688 - - + - - - + + + - - - - - - - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + - + diff --git a/diagrams/normal.svg b/diagrams/normal.svg index 0d81c3d..59dd525 100644 --- a/diagrams/normal.svg +++ b/diagrams/normal.svg @@ -6,7 +6,7 @@ - 2024-04-11T00:21:18.395735 + 2024-04-11T12:43:36.753069 image/svg+xml @@ -41,12 +41,12 @@ z - - + @@ -88,7 +88,7 @@ z - + @@ -128,7 +128,7 @@ z - + @@ -164,7 +164,7 @@ z - + @@ -177,7 +177,7 @@ z - + @@ -215,12 +215,12 @@ z - - + @@ -244,7 +244,7 @@ z - + @@ -275,7 +275,7 @@ z - + @@ -290,7 +290,7 @@ z - + @@ -339,7 +339,7 @@ z - + @@ -354,7 +354,7 @@ z - + @@ -396,7 +396,7 @@ z - + @@ -443,7 +443,7 @@ z - + @@ -470,7 +470,7 @@ z - + @@ -829,82 +829,6 @@ z - - - +" clip-path="url(#p4b4647ea0b)" style="fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square"/> + + + +" clip-path="url(#p4b4647ea0b)" style="fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square"/> +" clip-path="url(#p4b4647ea0b)" style="fill: none; stroke: #d62728; stroke-width: 1.5; stroke-linecap: square"/> - + - - - + @@ -1349,7 +1347,7 @@ L 326.92625 69.248563 " style="fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square"/> - + @@ -1362,7 +1360,9 @@ L 326.92625 69.248563 - + + + @@ -1425,7 +1425,7 @@ z - + diff --git a/diagrams/student_t.svg b/diagrams/student_t.svg index cab2ffe..74ba42d 100644 --- a/diagrams/student_t.svg +++ b/diagrams/student_t.svg @@ -6,7 +6,7 @@ - 2024-04-11T00:21:19.715996 + 2024-04-11T12:46:48.908812 image/svg+xml @@ -41,12 +41,12 @@ z - - + @@ -88,7 +88,7 @@ z - + @@ -128,7 +128,7 @@ z - + @@ -164,7 +164,7 @@ z - + @@ -177,7 +177,7 @@ z - + @@ -215,12 +215,12 @@ z - - + @@ -245,7 +245,7 @@ z - + @@ -288,7 +288,7 @@ z - + @@ -320,7 +320,7 @@ z - + @@ -336,7 +336,7 @@ z - + @@ -352,7 +352,7 @@ z - + @@ -368,7 +368,7 @@ z - + @@ -418,7 +418,7 @@ z - + @@ -434,7 +434,7 @@ z - + @@ -753,6 +753,170 @@ z + + + + + + +" clip-path="url(#pe5378a8ab0)" style="fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square"/> - + +" clip-path="url(#pe5378a8ab0)" style="fill: none; stroke: #d62728; stroke-width: 1.5; stroke-linecap: square"/> - + +" clip-path="url(#pe5378a8ab0)" style="fill: none; stroke: #9467bd; stroke-width: 1.5; stroke-linecap: square"/> - + +" clip-path="url(#pe5378a8ab0)" style="fill: none; stroke: #8c564b; stroke-width: 1.5; stroke-linecap: square"/> - - - + - - + + - + + + - - + - - + + - + + + - - + - - + + - + - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + - + + diff --git a/diagrams/weibull.svg b/diagrams/weibull.svg index 1b93553..4c7795b 100644 --- a/diagrams/weibull.svg +++ b/diagrams/weibull.svg @@ -6,7 +6,7 @@ - 2024-04-11T00:21:20.067538 + 2024-04-11T12:50:29.203119 image/svg+xml @@ -41,17 +41,17 @@ z - - + - - + + + + + - + - - + + + + + + + + + + + + + + + + + + + + + + - - + + - + - - - + + + + + + + + + + + + + + + + + + + + - - + + - + - - - + + + + + + + + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + @@ -294,17 +307,17 @@ z - + - - + - + @@ -312,112 +325,88 @@ L -3.5 0 - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + + + + - - - - - - - - - - - - - - + - - - - - - + + + @@ -727,118 +716,304 @@ z - + - + + + + + + + + + + +" clip-path="url(#pb5c7512194)" style="fill: none; stroke: #8c564b; stroke-width: 1.5; stroke-linecap: square"/> - - + - + - @@ -1007,34 +1175,52 @@ z - + - + - + - + + + - + - + + + + + + + + + + + + + + @@ -1042,11 +1228,44 @@ L 360.48875 83.926688 + + + + + + + + + + + + + + + + + + + + + + + + + + + - + diff --git a/distr/cauchy.py b/distr/cauchy.py index d3e6d5d..b2dcfa9 100644 --- a/distr/cauchy.py +++ b/distr/cauchy.py @@ -9,7 +9,7 @@ def save_to(directory: str, extension: str): # Creating the figure and the axis fig, ax = plt.subplots() - inputs = [(0, 0.5), (0, 1), (0, 2), (-2, 1)] + inputs = [(0, 1), (0, 0.5), (0, 2), (-2, 1)] # Plotting the PDF for the Cauchy distribution for x0, gamma in inputs: @@ -18,7 +18,7 @@ def save_to(directory: str, extension: str): # Adding title and labels ax.set_title('Cauchy distribution') ax.set_xlabel('x') - ax.set_ylabel('P(x)') + ax.set_ylabel('Probability density') # Adding a legend ax.legend() diff --git a/distr/fisher_f.py b/distr/fisher_f.py index 0187d5c..6f3062b 100644 --- a/distr/fisher_f.py +++ b/distr/fisher_f.py @@ -23,7 +23,7 @@ def y(x, dfn, dfd): # Adding title and labels ax.set_title('F-distribution') - ax.set_xlabel('F statistic') + ax.set_xlabel('F-statistic') ax.set_ylabel('Probability density') # Adding a legend diff --git a/distr/gumbel.py b/distr/gumbel.py index a372bf5..97bba82 100644 --- a/distr/gumbel.py +++ b/distr/gumbel.py @@ -4,7 +4,7 @@ def save_to(directory: str, extension: str): - inputs = [(0, 0.5), (0, 1), (0, 2), (-2, 1)] + inputs = [(0, 1), (0, 0.5), (0, 2), (-2, 1)] # Possible values for the distribution x = np.linspace(-5, 5, 1000) diff --git a/distr/log_normal.py b/distr/log_normal.py index 1e690f5..dbe12e1 100644 --- a/distr/log_normal.py +++ b/distr/log_normal.py @@ -4,7 +4,7 @@ def save_to(directory: str, extension: str): - inputs = [(0, 0.5), (0, 1), (0, 2), (-2, 1)] + inputs = [(0, 1), (0, 0.5), (0, 2), (-0.5, 1), (1, 1)] # Possible values for the distribution x = np.linspace(0, 5, 1000) diff --git a/distr/normal.py b/distr/normal.py index 6cae4e8..c87d888 100644 --- a/distr/normal.py +++ b/distr/normal.py @@ -4,7 +4,7 @@ def save_to(directory: str, extension: str): - inputs = [(0, 0.5), (0, 1), (0, 2), (-2, 1)] + inputs = [(0, 1), (0, 0.5), (0, 2), (-2, 1)] # Possible values for the distribution x = np.linspace(-5, 5, 1000) diff --git a/distr/student_t.py b/distr/student_t.py index 799d237..aacff7d 100644 --- a/distr/student_t.py +++ b/distr/student_t.py @@ -5,7 +5,7 @@ def save_to(directory: str, extension: str): # Degrees of freedom for the distribution - df_values = [1, 2, 5, np.inf] + df_values = [0.1, 0.5, 1, 2, 5, np.inf] # Possible values for the distribution x = np.linspace(-5, 5, 1000) diff --git a/distr/weibull.py b/distr/weibull.py index 51acde8..1d15596 100644 --- a/distr/weibull.py +++ b/distr/weibull.py @@ -4,17 +4,21 @@ def save_to(directory: str, extension: str): + def y(x, alpha): + y = weibull_min.pdf(x, alpha) + y[y > 5] = np.nan + return y # Possible values of alpha for the distribution - alpha_values = [0.5, 1, 2] + alpha_values = [0.1, 0.5, 1, 2, 5, 10] # Possible values for the distribution - x = np.linspace(0, 5, 1000) + x = np.linspace(0, 3, 1000) # Creating the figure and the axis fig, ax = plt.subplots() # Plotting the PDF for each value of alpha for alpha in alpha_values: - ax.plot(x, weibull_min.pdf(x, alpha), label=f'α = {alpha}') + ax.plot(x, y(x, alpha), label=f'α = {alpha}') # Adding title and labels ax.set_title('Weibull distribution') diff --git a/main.py b/main.py index 3acf030..19a64fb 100644 --- a/main.py +++ b/main.py @@ -59,7 +59,7 @@ # normal, # normal_inverse_gaussian, # pareto, - pert, + # pert, # poisson, # skew_normal, # standard_geometric, @@ -70,7 +70,7 @@ # unit_circle, # unit_disc, # unit_sphere, - # weibull, + weibull, # zeta, # zipf, ): From 3370b770c9d2f3726b7e397205ee914de1dd1997 Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Thu, 11 Apr 2024 12:56:42 +0200 Subject: [PATCH 04/18] Refactor directories --- {diagrams => charts}/beta.svg | 0 {diagrams => charts}/binomial.svg | 0 {diagrams => charts}/cauchy.svg | 0 {diagrams => charts}/chi_squared.svg | 0 {diagrams => charts}/exponential.svg | 0 {diagrams => charts}/exponential_exp1.svg | 0 {diagrams => charts}/fisher_f.svg | 0 {diagrams => charts}/gamma.svg | 0 {diagrams => charts}/geometric.svg | 0 {diagrams => charts}/gumbel.svg | 0 {diagrams => charts}/hypergeometric.svg | 0 {diagrams => charts}/inverse_gaussian.svg | 0 {diagrams => charts}/log_normal.svg | 0 {diagrams => charts}/normal.svg | 0 {diagrams => charts}/normal_inverse_gaussian.svg | 0 {diagrams => charts}/pareto.svg | 0 {diagrams => charts}/pert.svg | 0 {diagrams => charts}/poisson.svg | 0 {diagrams => charts}/skew_normal.svg | 0 {diagrams => charts}/standard_geometric.svg | 0 {diagrams => charts}/standard_normal.svg | 0 {diagrams => charts}/student_t.svg | 0 {diagrams => charts}/triangular.svg | 0 {diagrams => charts}/weibull.svg | 0 {diagrams => charts}/zeta.svg | 0 {diagrams => charts}/zipf.svg | 0 {distr => distributions}/beta.py | 0 {distr => distributions}/binomial.py | 0 {distr => distributions}/cauchy.py | 0 {distr => distributions}/chi_squared.py | 0 {distr => distributions}/dirichlet.py | 0 {distr => distributions}/exponential.py | 0 {distr => distributions}/exponential_exp1.py | 0 {distr => distributions}/fisher_f.py | 0 {distr => distributions}/frechet.py | 0 {distr => distributions}/gamma.py | 0 {distr => distributions}/geometric.py | 0 {distr => distributions}/gumbel.py | 0 {distr => distributions}/hypergeometric.py | 0 {distr => distributions}/inverse_gaussian.py | 0 {distr => distributions}/log_normal.py | 0 {distr => distributions}/normal.py | 0 {distr => distributions}/normal_inverse_gaussian.py | 0 {distr => distributions}/pareto.py | 0 {distr => distributions}/pert.py | 0 {distr => distributions}/poisson.py | 0 {distr => distributions}/skew_normal.py | 0 {distr => distributions}/standard_geometric.py | 0 {distr => distributions}/standard_normal.py | 0 {distr => distributions}/student_t.py | 0 {distr => distributions}/triangular.py | 0 {distr => distributions}/unit_ball.py | 0 {distr => distributions}/unit_circle.py | 0 {distr => distributions}/unit_disc.py | 0 {distr => distributions}/unit_sphere.py | 0 {distr => distributions}/weibull.py | 0 {distr => distributions}/zeta.py | 0 {distr => distributions}/zipf.py | 0 main.py | 4 ++-- 59 files changed, 2 insertions(+), 2 deletions(-) rename {diagrams => charts}/beta.svg (100%) rename {diagrams => charts}/binomial.svg (100%) rename {diagrams => charts}/cauchy.svg (100%) rename {diagrams => charts}/chi_squared.svg (100%) rename {diagrams => charts}/exponential.svg (100%) rename {diagrams => charts}/exponential_exp1.svg (100%) rename {diagrams => charts}/fisher_f.svg (100%) rename {diagrams => charts}/gamma.svg (100%) rename {diagrams => charts}/geometric.svg (100%) rename {diagrams => charts}/gumbel.svg (100%) rename {diagrams => charts}/hypergeometric.svg (100%) rename {diagrams => charts}/inverse_gaussian.svg (100%) rename {diagrams => charts}/log_normal.svg (100%) rename {diagrams => charts}/normal.svg (100%) rename {diagrams => charts}/normal_inverse_gaussian.svg (100%) rename {diagrams => charts}/pareto.svg (100%) rename {diagrams => charts}/pert.svg (100%) rename {diagrams => charts}/poisson.svg (100%) rename {diagrams => charts}/skew_normal.svg (100%) rename {diagrams => charts}/standard_geometric.svg (100%) rename {diagrams => charts}/standard_normal.svg (100%) rename {diagrams => charts}/student_t.svg (100%) rename {diagrams => charts}/triangular.svg (100%) rename {diagrams => charts}/weibull.svg (100%) rename {diagrams => charts}/zeta.svg (100%) rename {diagrams => charts}/zipf.svg (100%) rename {distr => distributions}/beta.py (100%) rename {distr => distributions}/binomial.py (100%) rename {distr => distributions}/cauchy.py (100%) rename {distr => distributions}/chi_squared.py (100%) rename {distr => distributions}/dirichlet.py (100%) rename {distr => distributions}/exponential.py (100%) rename {distr => distributions}/exponential_exp1.py (100%) rename {distr => distributions}/fisher_f.py (100%) rename {distr => distributions}/frechet.py (100%) rename {distr => distributions}/gamma.py (100%) rename {distr => distributions}/geometric.py (100%) rename {distr => distributions}/gumbel.py (100%) rename {distr => distributions}/hypergeometric.py (100%) rename {distr => distributions}/inverse_gaussian.py (100%) rename {distr => distributions}/log_normal.py (100%) rename {distr => distributions}/normal.py (100%) rename {distr => distributions}/normal_inverse_gaussian.py (100%) rename {distr => distributions}/pareto.py (100%) rename {distr => distributions}/pert.py (100%) rename {distr => distributions}/poisson.py (100%) rename {distr => distributions}/skew_normal.py (100%) rename {distr => distributions}/standard_geometric.py (100%) rename {distr => distributions}/standard_normal.py (100%) rename {distr => distributions}/student_t.py (100%) rename {distr => distributions}/triangular.py (100%) rename {distr => distributions}/unit_ball.py (100%) rename {distr => distributions}/unit_circle.py (100%) rename {distr => distributions}/unit_disc.py (100%) rename {distr => distributions}/unit_sphere.py (100%) rename {distr => distributions}/weibull.py (100%) rename {distr => distributions}/zeta.py (100%) rename {distr => distributions}/zipf.py (100%) diff --git a/diagrams/beta.svg b/charts/beta.svg similarity index 100% rename from diagrams/beta.svg rename to charts/beta.svg diff --git a/diagrams/binomial.svg b/charts/binomial.svg similarity index 100% rename from diagrams/binomial.svg rename to charts/binomial.svg diff --git a/diagrams/cauchy.svg b/charts/cauchy.svg similarity index 100% rename from diagrams/cauchy.svg rename to charts/cauchy.svg diff --git a/diagrams/chi_squared.svg b/charts/chi_squared.svg similarity index 100% rename from diagrams/chi_squared.svg rename to charts/chi_squared.svg diff --git a/diagrams/exponential.svg b/charts/exponential.svg similarity index 100% rename from diagrams/exponential.svg rename to charts/exponential.svg diff --git a/diagrams/exponential_exp1.svg b/charts/exponential_exp1.svg similarity index 100% rename from diagrams/exponential_exp1.svg rename to charts/exponential_exp1.svg diff --git a/diagrams/fisher_f.svg b/charts/fisher_f.svg similarity index 100% rename from diagrams/fisher_f.svg rename to charts/fisher_f.svg diff --git a/diagrams/gamma.svg b/charts/gamma.svg similarity index 100% rename from diagrams/gamma.svg rename to charts/gamma.svg diff --git a/diagrams/geometric.svg b/charts/geometric.svg similarity index 100% rename from diagrams/geometric.svg rename to charts/geometric.svg diff --git a/diagrams/gumbel.svg b/charts/gumbel.svg similarity index 100% rename from diagrams/gumbel.svg rename to charts/gumbel.svg diff --git a/diagrams/hypergeometric.svg b/charts/hypergeometric.svg similarity index 100% rename from diagrams/hypergeometric.svg rename to charts/hypergeometric.svg diff --git a/diagrams/inverse_gaussian.svg b/charts/inverse_gaussian.svg similarity index 100% rename from diagrams/inverse_gaussian.svg rename to charts/inverse_gaussian.svg diff --git a/diagrams/log_normal.svg b/charts/log_normal.svg similarity index 100% rename from diagrams/log_normal.svg rename to charts/log_normal.svg diff --git a/diagrams/normal.svg b/charts/normal.svg similarity index 100% rename from diagrams/normal.svg rename to charts/normal.svg diff --git a/diagrams/normal_inverse_gaussian.svg b/charts/normal_inverse_gaussian.svg similarity index 100% rename from diagrams/normal_inverse_gaussian.svg rename to charts/normal_inverse_gaussian.svg diff --git a/diagrams/pareto.svg b/charts/pareto.svg similarity index 100% rename from diagrams/pareto.svg rename to charts/pareto.svg diff --git a/diagrams/pert.svg b/charts/pert.svg similarity index 100% rename from diagrams/pert.svg rename to charts/pert.svg diff --git a/diagrams/poisson.svg b/charts/poisson.svg similarity index 100% rename from diagrams/poisson.svg rename to charts/poisson.svg diff --git a/diagrams/skew_normal.svg b/charts/skew_normal.svg similarity index 100% rename from diagrams/skew_normal.svg rename to charts/skew_normal.svg diff --git a/diagrams/standard_geometric.svg b/charts/standard_geometric.svg similarity index 100% rename from diagrams/standard_geometric.svg rename to charts/standard_geometric.svg diff --git a/diagrams/standard_normal.svg b/charts/standard_normal.svg similarity index 100% rename from diagrams/standard_normal.svg rename to charts/standard_normal.svg diff --git a/diagrams/student_t.svg b/charts/student_t.svg similarity index 100% rename from diagrams/student_t.svg rename to charts/student_t.svg diff --git a/diagrams/triangular.svg b/charts/triangular.svg similarity index 100% rename from diagrams/triangular.svg rename to charts/triangular.svg diff --git a/diagrams/weibull.svg b/charts/weibull.svg similarity index 100% rename from diagrams/weibull.svg rename to charts/weibull.svg diff --git a/diagrams/zeta.svg b/charts/zeta.svg similarity index 100% rename from diagrams/zeta.svg rename to charts/zeta.svg diff --git a/diagrams/zipf.svg b/charts/zipf.svg similarity index 100% rename from diagrams/zipf.svg rename to charts/zipf.svg diff --git a/distr/beta.py b/distributions/beta.py similarity index 100% rename from distr/beta.py rename to distributions/beta.py diff --git a/distr/binomial.py b/distributions/binomial.py similarity index 100% rename from distr/binomial.py rename to distributions/binomial.py diff --git a/distr/cauchy.py b/distributions/cauchy.py similarity index 100% rename from distr/cauchy.py rename to distributions/cauchy.py diff --git a/distr/chi_squared.py b/distributions/chi_squared.py similarity index 100% rename from distr/chi_squared.py rename to distributions/chi_squared.py diff --git a/distr/dirichlet.py b/distributions/dirichlet.py similarity index 100% rename from distr/dirichlet.py rename to distributions/dirichlet.py diff --git a/distr/exponential.py b/distributions/exponential.py similarity index 100% rename from distr/exponential.py rename to distributions/exponential.py diff --git a/distr/exponential_exp1.py b/distributions/exponential_exp1.py similarity index 100% rename from distr/exponential_exp1.py rename to distributions/exponential_exp1.py diff --git a/distr/fisher_f.py b/distributions/fisher_f.py similarity index 100% rename from distr/fisher_f.py rename to distributions/fisher_f.py diff --git a/distr/frechet.py b/distributions/frechet.py similarity index 100% rename from distr/frechet.py rename to distributions/frechet.py diff --git a/distr/gamma.py b/distributions/gamma.py similarity index 100% rename from distr/gamma.py rename to distributions/gamma.py diff --git a/distr/geometric.py b/distributions/geometric.py similarity index 100% rename from distr/geometric.py rename to distributions/geometric.py diff --git a/distr/gumbel.py b/distributions/gumbel.py similarity index 100% rename from distr/gumbel.py rename to distributions/gumbel.py diff --git a/distr/hypergeometric.py b/distributions/hypergeometric.py similarity index 100% rename from distr/hypergeometric.py rename to distributions/hypergeometric.py diff --git a/distr/inverse_gaussian.py b/distributions/inverse_gaussian.py similarity index 100% rename from distr/inverse_gaussian.py rename to distributions/inverse_gaussian.py diff --git a/distr/log_normal.py b/distributions/log_normal.py similarity index 100% rename from distr/log_normal.py rename to distributions/log_normal.py diff --git a/distr/normal.py b/distributions/normal.py similarity index 100% rename from distr/normal.py rename to distributions/normal.py diff --git a/distr/normal_inverse_gaussian.py b/distributions/normal_inverse_gaussian.py similarity index 100% rename from distr/normal_inverse_gaussian.py rename to distributions/normal_inverse_gaussian.py diff --git a/distr/pareto.py b/distributions/pareto.py similarity index 100% rename from distr/pareto.py rename to distributions/pareto.py diff --git a/distr/pert.py b/distributions/pert.py similarity index 100% rename from distr/pert.py rename to distributions/pert.py diff --git a/distr/poisson.py b/distributions/poisson.py similarity index 100% rename from distr/poisson.py rename to distributions/poisson.py diff --git a/distr/skew_normal.py b/distributions/skew_normal.py similarity index 100% rename from distr/skew_normal.py rename to distributions/skew_normal.py diff --git a/distr/standard_geometric.py b/distributions/standard_geometric.py similarity index 100% rename from distr/standard_geometric.py rename to distributions/standard_geometric.py diff --git a/distr/standard_normal.py b/distributions/standard_normal.py similarity index 100% rename from distr/standard_normal.py rename to distributions/standard_normal.py diff --git a/distr/student_t.py b/distributions/student_t.py similarity index 100% rename from distr/student_t.py rename to distributions/student_t.py diff --git a/distr/triangular.py b/distributions/triangular.py similarity index 100% rename from distr/triangular.py rename to distributions/triangular.py diff --git a/distr/unit_ball.py b/distributions/unit_ball.py similarity index 100% rename from distr/unit_ball.py rename to distributions/unit_ball.py diff --git a/distr/unit_circle.py b/distributions/unit_circle.py similarity index 100% rename from distr/unit_circle.py rename to distributions/unit_circle.py diff --git a/distr/unit_disc.py b/distributions/unit_disc.py similarity index 100% rename from distr/unit_disc.py rename to distributions/unit_disc.py diff --git a/distr/unit_sphere.py b/distributions/unit_sphere.py similarity index 100% rename from distr/unit_sphere.py rename to distributions/unit_sphere.py diff --git a/distr/weibull.py b/distributions/weibull.py similarity index 100% rename from distr/weibull.py rename to distributions/weibull.py diff --git a/distr/zeta.py b/distributions/zeta.py similarity index 100% rename from distr/zeta.py rename to distributions/zeta.py diff --git a/distr/zipf.py b/distributions/zipf.py similarity index 100% rename from distr/zipf.py rename to distributions/zipf.py diff --git a/main.py b/main.py index 19a64fb..e34ec51 100644 --- a/main.py +++ b/main.py @@ -1,5 +1,5 @@ import os -from distr import ( +from distributions import ( beta, binomial, cauchy, @@ -36,7 +36,7 @@ if __name__ == "__main__": - out = "diagrams" + out = "charts" ext = "svg" if not os.path.exists(out): os.makedirs(out) From 8cc51af1e4b73ffd22c85affdde8a371090f32e4 Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Thu, 11 Apr 2024 17:25:41 +0200 Subject: [PATCH 05/18] Add frechet distribution --- distributions/frechet.py | 26 +++++++++++++++++++++++++- main.py | 4 ++-- 2 files changed, 27 insertions(+), 3 deletions(-) diff --git a/distributions/frechet.py b/distributions/frechet.py index d0fb58d..59bb223 100644 --- a/distributions/frechet.py +++ b/distributions/frechet.py @@ -1,6 +1,30 @@ import numpy as np import matplotlib.pyplot as plt +from scipy.stats import invweibull def save_to(directory: str, extension: str): - pass + def y(x, shape, loc, scale): + return invweibull.pdf(x, shape, loc=loc, scale=scale) + # Inputs for the distribution + inputs = [(0, 1, 1), (1, 1, 1), (0, 0.5, 1), (0, 2, 1), (0, 1, 0.35), (0, 1, 2)] + # x values for the distribution + x = np.linspace(0, 5, 1000) + + # Creating the figure and the axis + fig, ax = plt.subplots() + + # Plotting the PDF for each value of a + for loc, scale, shape in inputs: + ax.plot(x, y(x, shape, loc, scale), label=f'μ = {loc}, σ = {scale}, α = {shape}') + + # Adding title and labels + ax.set_title('Fréchet distribution') + ax.set_xlabel('x') + ax.set_ylabel('Probability density') + + # Adding a legend + ax.legend() + + plt.savefig(f"{directory}/frechet.{extension}") + plt.close() diff --git a/main.py b/main.py index e34ec51..33c4016 100644 --- a/main.py +++ b/main.py @@ -49,7 +49,7 @@ # exponential, # exponential_exp1, # fisher_f, - # frechet, + frechet, # gamma, # geometric, # gumbel, @@ -70,7 +70,7 @@ # unit_circle, # unit_disc, # unit_sphere, - weibull, + # weibull, # zeta, # zipf, ): From 58eed065292205ac0e9796a7cff473d27aac3229 Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Thu, 11 Apr 2024 17:26:54 +0200 Subject: [PATCH 06/18] Move Python into src directory --- {distributions => src/distributions}/beta.py | 0 .../distributions}/binomial.py | 0 .../distributions}/cauchy.py | 0 .../distributions}/chi_squared.py | 0 .../distributions}/dirichlet.py | 0 .../distributions}/exponential.py | 0 .../distributions}/exponential_exp1.py | 0 .../distributions}/fisher_f.py | 0 .../distributions}/frechet.py | 0 {distributions => src/distributions}/gamma.py | 0 .../distributions}/geometric.py | 0 .../distributions}/gumbel.py | 0 .../distributions}/hypergeometric.py | 0 .../distributions}/inverse_gaussian.py | 0 .../distributions}/log_normal.py | 0 .../distributions}/normal.py | 0 .../distributions}/normal_inverse_gaussian.py | 0 .../distributions}/pareto.py | 0 {distributions => src/distributions}/pert.py | 0 .../distributions}/poisson.py | 0 .../distributions}/skew_normal.py | 0 .../distributions}/standard_geometric.py | 0 .../distributions}/standard_normal.py | 0 .../distributions}/student_t.py | 0 .../distributions}/triangular.py | 0 .../distributions}/unit_ball.py | 0 .../distributions}/unit_circle.py | 0 .../distributions}/unit_disc.py | 0 .../distributions}/unit_sphere.py | 0 .../distributions}/weibull.py | 0 {distributions => src/distributions}/zeta.py | 0 {distributions => src/distributions}/zipf.py | 0 main.py => src/main.py | 38 +------------------ 33 files changed, 2 insertions(+), 36 deletions(-) rename {distributions => src/distributions}/beta.py (100%) rename {distributions => src/distributions}/binomial.py (100%) rename {distributions => src/distributions}/cauchy.py (100%) rename {distributions => src/distributions}/chi_squared.py (100%) rename {distributions => src/distributions}/dirichlet.py (100%) rename {distributions => src/distributions}/exponential.py (100%) rename {distributions => src/distributions}/exponential_exp1.py (100%) rename {distributions => src/distributions}/fisher_f.py (100%) rename {distributions => src/distributions}/frechet.py (100%) rename {distributions => src/distributions}/gamma.py (100%) rename {distributions => src/distributions}/geometric.py (100%) rename {distributions => src/distributions}/gumbel.py (100%) rename {distributions => src/distributions}/hypergeometric.py (100%) rename {distributions => src/distributions}/inverse_gaussian.py (100%) rename {distributions => src/distributions}/log_normal.py (100%) rename {distributions => src/distributions}/normal.py (100%) rename {distributions => src/distributions}/normal_inverse_gaussian.py (100%) rename {distributions => src/distributions}/pareto.py (100%) rename {distributions => src/distributions}/pert.py (100%) rename {distributions => src/distributions}/poisson.py (100%) rename {distributions => src/distributions}/skew_normal.py (100%) rename {distributions => src/distributions}/standard_geometric.py (100%) rename {distributions => src/distributions}/standard_normal.py (100%) rename {distributions => src/distributions}/student_t.py (100%) rename {distributions => src/distributions}/triangular.py (100%) rename {distributions => src/distributions}/unit_ball.py (100%) rename {distributions => src/distributions}/unit_circle.py (100%) rename {distributions => src/distributions}/unit_disc.py (100%) rename {distributions => src/distributions}/unit_sphere.py (100%) rename {distributions => src/distributions}/weibull.py (100%) rename {distributions => src/distributions}/zeta.py (100%) rename {distributions => src/distributions}/zipf.py (100%) rename main.py => src/main.py (61%) diff --git a/distributions/beta.py b/src/distributions/beta.py similarity index 100% rename from distributions/beta.py rename to src/distributions/beta.py diff --git a/distributions/binomial.py b/src/distributions/binomial.py similarity index 100% rename from distributions/binomial.py rename to src/distributions/binomial.py diff --git a/distributions/cauchy.py b/src/distributions/cauchy.py similarity index 100% rename from distributions/cauchy.py rename to src/distributions/cauchy.py diff --git a/distributions/chi_squared.py b/src/distributions/chi_squared.py similarity index 100% rename from distributions/chi_squared.py rename to src/distributions/chi_squared.py diff --git a/distributions/dirichlet.py b/src/distributions/dirichlet.py similarity index 100% rename from distributions/dirichlet.py rename to src/distributions/dirichlet.py diff --git a/distributions/exponential.py b/src/distributions/exponential.py similarity index 100% rename from distributions/exponential.py rename to src/distributions/exponential.py diff --git a/distributions/exponential_exp1.py b/src/distributions/exponential_exp1.py similarity index 100% rename from distributions/exponential_exp1.py rename to src/distributions/exponential_exp1.py diff --git a/distributions/fisher_f.py b/src/distributions/fisher_f.py similarity index 100% rename from distributions/fisher_f.py rename to src/distributions/fisher_f.py diff --git a/distributions/frechet.py b/src/distributions/frechet.py similarity index 100% rename from distributions/frechet.py rename to src/distributions/frechet.py diff --git a/distributions/gamma.py b/src/distributions/gamma.py similarity index 100% rename from distributions/gamma.py rename to src/distributions/gamma.py diff --git a/distributions/geometric.py b/src/distributions/geometric.py similarity index 100% rename from distributions/geometric.py rename to src/distributions/geometric.py diff --git a/distributions/gumbel.py b/src/distributions/gumbel.py similarity index 100% rename from distributions/gumbel.py rename to src/distributions/gumbel.py diff --git a/distributions/hypergeometric.py b/src/distributions/hypergeometric.py similarity index 100% rename from distributions/hypergeometric.py rename to src/distributions/hypergeometric.py diff --git a/distributions/inverse_gaussian.py b/src/distributions/inverse_gaussian.py similarity index 100% rename from distributions/inverse_gaussian.py rename to src/distributions/inverse_gaussian.py diff --git a/distributions/log_normal.py b/src/distributions/log_normal.py similarity index 100% rename from distributions/log_normal.py rename to src/distributions/log_normal.py diff --git a/distributions/normal.py b/src/distributions/normal.py similarity index 100% rename from distributions/normal.py rename to src/distributions/normal.py diff --git a/distributions/normal_inverse_gaussian.py b/src/distributions/normal_inverse_gaussian.py similarity index 100% rename from distributions/normal_inverse_gaussian.py rename to src/distributions/normal_inverse_gaussian.py diff --git a/distributions/pareto.py b/src/distributions/pareto.py similarity index 100% rename from distributions/pareto.py rename to src/distributions/pareto.py diff --git a/distributions/pert.py b/src/distributions/pert.py similarity index 100% rename from distributions/pert.py rename to src/distributions/pert.py diff --git a/distributions/poisson.py b/src/distributions/poisson.py similarity index 100% rename from distributions/poisson.py rename to src/distributions/poisson.py diff --git a/distributions/skew_normal.py b/src/distributions/skew_normal.py similarity index 100% rename from distributions/skew_normal.py rename to src/distributions/skew_normal.py diff --git a/distributions/standard_geometric.py b/src/distributions/standard_geometric.py similarity index 100% rename from distributions/standard_geometric.py rename to src/distributions/standard_geometric.py diff --git a/distributions/standard_normal.py b/src/distributions/standard_normal.py similarity index 100% rename from distributions/standard_normal.py rename to src/distributions/standard_normal.py diff --git a/distributions/student_t.py b/src/distributions/student_t.py similarity index 100% rename from distributions/student_t.py rename to src/distributions/student_t.py diff --git a/distributions/triangular.py b/src/distributions/triangular.py similarity index 100% rename from distributions/triangular.py rename to src/distributions/triangular.py diff --git a/distributions/unit_ball.py b/src/distributions/unit_ball.py similarity index 100% rename from distributions/unit_ball.py rename to src/distributions/unit_ball.py diff --git a/distributions/unit_circle.py b/src/distributions/unit_circle.py similarity index 100% rename from distributions/unit_circle.py rename to src/distributions/unit_circle.py diff --git a/distributions/unit_disc.py b/src/distributions/unit_disc.py similarity index 100% rename from distributions/unit_disc.py rename to src/distributions/unit_disc.py diff --git a/distributions/unit_sphere.py b/src/distributions/unit_sphere.py similarity index 100% rename from distributions/unit_sphere.py rename to src/distributions/unit_sphere.py diff --git a/distributions/weibull.py b/src/distributions/weibull.py similarity index 100% rename from distributions/weibull.py rename to src/distributions/weibull.py diff --git a/distributions/zeta.py b/src/distributions/zeta.py similarity index 100% rename from distributions/zeta.py rename to src/distributions/zeta.py diff --git a/distributions/zipf.py b/src/distributions/zipf.py similarity index 100% rename from distributions/zipf.py rename to src/distributions/zipf.py diff --git a/main.py b/src/main.py similarity index 61% rename from main.py rename to src/main.py index 33c4016..d677b57 100644 --- a/main.py +++ b/src/main.py @@ -1,39 +1,5 @@ import os -from distributions import ( - beta, - binomial, - cauchy, - chi_squared, - dirichlet, - exponential, - exponential_exp1, - fisher_f, - frechet, - gamma, - geometric, - gumbel, - hypergeometric, - inverse_gaussian, - log_normal, - normal, - normal_inverse_gaussian, - pareto, - pert, - poisson, - skew_normal, - standard_geometric, - standard_normal, - student_t, - triangular, - unit_ball, - unit_circle, - unit_disc, - unit_sphere, - weibull, - zeta, - zipf, -) - +from distributions import frechet if __name__ == "__main__": out = "charts" @@ -49,7 +15,7 @@ # exponential, # exponential_exp1, # fisher_f, - frechet, + frechet, # gamma, # geometric, # gumbel, From 60da767e0cc071366ddfd8c49203717fb1549761 Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Thu, 11 Apr 2024 18:40:54 +0200 Subject: [PATCH 07/18] Add frechet distribution --- charts/fisher_f.svg | 271 +++-- charts/frechet.svg | 1663 +++++++++++++++++++++++++++ charts/hypergeometric.svg | 459 ++++---- src/distributions/fisher_f.py | 2 +- src/distributions/hypergeometric.py | 2 +- src/main.py | 39 +- 6 files changed, 2117 insertions(+), 319 deletions(-) create mode 100644 charts/frechet.svg diff --git a/charts/fisher_f.svg b/charts/fisher_f.svg index 9a89125..20864b3 100644 --- a/charts/fisher_f.svg +++ b/charts/fisher_f.svg @@ -6,7 +6,7 @@ - 2024-04-11T12:32:51.689764 + 2024-04-11T18:15:40.925284 image/svg+xml @@ -41,12 +41,12 @@ z - - + @@ -82,7 +82,7 @@ z - + @@ -111,7 +111,7 @@ z - + @@ -150,7 +150,7 @@ z - + @@ -197,7 +197,7 @@ z - + @@ -231,7 +231,7 @@ z - + @@ -430,12 +430,12 @@ z - - + @@ -460,7 +460,7 @@ z - + @@ -476,7 +476,7 @@ z - + @@ -492,7 +492,7 @@ z - + @@ -520,7 +520,7 @@ z - + @@ -536,7 +536,7 @@ z - + @@ -552,7 +552,7 @@ z - + @@ -568,7 +568,7 @@ z - + @@ -584,7 +584,7 @@ z - + @@ -852,7 +852,7 @@ L 323.741982 291.500165 L 361.764586 292.17312 L 398.487273 292.660484 L 398.487273 292.660484 -" clip-path="url(#p7efa6d8a5d)" style="fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square"/> +" clip-path="url(#p7f70c2f2a4)" style="fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square"/> +" clip-path="url(#p7f70c2f2a4)" style="fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square"/> +L 74.157707 268.416616 +L 74.807666 251.25504 +L 75.457625 241.529134 +L 76.107584 235.065701 +L 76.757543 230.5526 +L 77.407502 227.351981 +L 78.057461 225.09177 +L 78.70742 223.531643 +L 79.357379 222.505999 +L 80.007338 221.895572 +L 80.657297 221.611673 +L 81.307256 221.586755 +L 81.957215 221.768409 +L 82.932154 222.340313 +L 83.907093 223.180213 +L 85.207011 224.58731 +L 87.156888 227.069863 +L 91.056642 232.525867 +L 95.606355 238.755968 +L 98.856151 242.845035 +L 102.105946 246.579871 +L 105.355741 249.965812 +L 108.605536 253.026405 +L 111.855332 255.791571 +L 115.430106 258.528748 +L 119.004881 260.98435 +L 122.904636 263.382861 +L 126.80439 265.527166 +L 131.029124 267.60249 +L 135.578837 269.589933 +L 140.45353 271.476391 +L 145.653202 273.253763 +L 151.502834 275.009596 +L 157.677445 276.629086 +L 164.502015 278.187506 +L 171.976544 279.664714 +L 180.426011 281.099132 +L 189.850418 282.46155 +L 200.249762 283.733309 +L 211.949025 284.935033 +L 225.273186 286.07356 +L 240.547224 287.147237 +L 258.096118 288.150214 +L 278.569828 289.089072 +L 302.618313 289.960456 +L 331.216511 290.765362 +L 365.664341 291.503741 +L 398.487273 292.044515 +L 398.487273 292.044515 +" clip-path="url(#p7f70c2f2a4)" style="fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square"/> +" clip-path="url(#p7f70c2f2a4)" style="fill: none; stroke: #d62728; stroke-width: 1.5; stroke-linecap: square"/> + + + +" clip-path="url(#p7f70c2f2a4)" style="fill: none; stroke: #8c564b; stroke-width: 1.5; stroke-linecap: square"/> - - + - + - + - + - + - + - + - + - + + + + + + + + + + + + + + + + + + + + + + + @@ -1338,7 +1429,7 @@ L 307.63875 113.282938 - + diff --git a/charts/frechet.svg b/charts/frechet.svg new file mode 100644 index 0000000..c2d19eb --- /dev/null +++ b/charts/frechet.svg @@ -0,0 +1,1663 @@ + + + + + + + + 2024-04-11T17:18:52.029324 + image/svg+xml + + + Matplotlib v3.8.4, https://matplotlib.org/ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/charts/hypergeometric.svg b/charts/hypergeometric.svg index b7e357f..8f401f5 100644 --- a/charts/hypergeometric.svg +++ b/charts/hypergeometric.svg @@ -6,7 +6,7 @@ - 2024-04-11T00:32:36.372769 + 2024-04-11T18:02:23.026895 image/svg+xml @@ -43,7 +43,7 @@ L 90.065455 307.584 L 90.065455 270.464 L 73.832727 270.464 z -" clip-path="url(#p730879a189)" style="fill: #1f77b4"/> +" clip-path="url(#p97caf5d10e)" style="fill: #1f77b4"/> +" clip-path="url(#p97caf5d10e)" style="fill: #1f77b4"/> +" clip-path="url(#p97caf5d10e)" style="fill: #1f77b4"/> +" clip-path="url(#p97caf5d10e)" style="fill: #1f77b4"/> +" clip-path="url(#p97caf5d10e)" style="fill: #1f77b4"/> +" clip-path="url(#p97caf5d10e)" style="fill: #1f77b4"/> +" clip-path="url(#p97caf5d10e)" style="fill: #1f77b4"/> +" clip-path="url(#p97caf5d10e)" style="fill: #1f77b4"/> +" clip-path="url(#p97caf5d10e)" style="fill: #1f77b4"/> +" clip-path="url(#p97caf5d10e)" style="fill: #1f77b4"/> +" clip-path="url(#p97caf5d10e)" style="fill: #ff7f0e"/> +" clip-path="url(#p97caf5d10e)" style="fill: #ff7f0e"/> +" clip-path="url(#p97caf5d10e)" style="fill: #ff7f0e"/> +" clip-path="url(#p97caf5d10e)" style="fill: #ff7f0e"/> +" clip-path="url(#p97caf5d10e)" style="fill: #ff7f0e"/> +" clip-path="url(#p97caf5d10e)" style="fill: #ff7f0e"/> +" clip-path="url(#p97caf5d10e)" style="fill: #ff7f0e"/> +" clip-path="url(#p97caf5d10e)" style="fill: #ff7f0e"/> +" clip-path="url(#p97caf5d10e)" style="fill: #ff7f0e"/> +" clip-path="url(#p97caf5d10e)" style="fill: #ff7f0e"/> - - + @@ -242,7 +242,7 @@ z - + @@ -271,7 +271,7 @@ z - + @@ -310,7 +310,7 @@ z - + @@ -357,7 +357,7 @@ z - + @@ -391,7 +391,7 @@ z - + @@ -431,7 +431,7 @@ z - + @@ -476,7 +476,7 @@ z - + @@ -501,7 +501,7 @@ z - + @@ -555,7 +555,7 @@ z - + @@ -598,20 +598,54 @@ z - - + + - + + + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + + + + + + + + + @@ -1008,12 +906,12 @@ z - - + @@ -1038,7 +936,7 @@ z - + @@ -1054,7 +952,7 @@ z - + @@ -1070,7 +968,7 @@ z - + @@ -1086,7 +984,7 @@ z - + @@ -1102,7 +1000,7 @@ z - + @@ -1118,7 +1016,7 @@ z - + @@ -1155,6 +1053,80 @@ L 1259 0 L 628 0 L 628 4666 z +" transform="scale(0.015625)"/> + + + + + + + diff --git a/src/distributions/fisher_f.py b/src/distributions/fisher_f.py index 6f3062b..10f6329 100644 --- a/src/distributions/fisher_f.py +++ b/src/distributions/fisher_f.py @@ -10,7 +10,7 @@ def y(x, dfn, dfd): return y # Degrees of freedom for the distribution - d1_d2 = [(1, 1), (2, 1), (5, 2), (10, 1), (100, 100)] + d1_d2 = [(1, 1), (2, 1), (3, 1), (10, 1), (10, 10), (100, 100)] # Possible values for the distribution x = np.linspace(0, 5, 1000) diff --git a/src/distributions/hypergeometric.py b/src/distributions/hypergeometric.py index 453e5c6..c5143a1 100644 --- a/src/distributions/hypergeometric.py +++ b/src/distributions/hypergeometric.py @@ -18,7 +18,7 @@ def save_to(directory: str, extension: str): # Adding title and labels ax.set_title('Hypergeometric distribution') - ax.set_xlabel('Number of successes in the sample') + ax.set_xlabel('k (number of successes)') ax.set_ylabel('Probability') ax.set_xticks(outcomes) # set the ticks to be the outcome values diff --git a/src/main.py b/src/main.py index d677b57..c25ae4a 100644 --- a/src/main.py +++ b/src/main.py @@ -1,5 +1,38 @@ import os -from distributions import frechet +from distributions import ( + beta, + binomial, + cauchy, + chi_squared, + dirichlet, + exponential, + exponential_exp1, + fisher_f, + frechet, + gamma, + geometric, + gumbel, + hypergeometric, + inverse_gaussian, + log_normal, + normal, + normal_inverse_gaussian, + pareto, + pert, + poisson, + skew_normal, + standard_geometric, + standard_normal, + student_t, + triangular, + unit_ball, + unit_circle, + unit_disc, + unit_sphere, + weibull, + zeta, + zipf, +) if __name__ == "__main__": out = "charts" @@ -14,8 +47,8 @@ # dirichlet, # exponential, # exponential_exp1, - # fisher_f, - frechet, + fisher_f, + # frechet, # gamma, # geometric, # gumbel, From 489ab395414d4df5d29a97043c76abdaa1b9d494 Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Wed, 17 Apr 2024 15:18:16 +0200 Subject: [PATCH 08/18] Add pert, zeta, zipf, and unit distributions --- charts/pert.svg | 1212 ++- charts/unit_ball.svg | 15516 +++++++++++++++++++++++++++++ charts/unit_circle.svg | 930 ++ charts/unit_disc.svg | 906 ++ charts/unit_sphere.svg | 6284 ++++++++++++ charts/zeta.svg | 624 +- charts/zipf.svg | 674 +- src/distributions/pert.py | 22 +- src/distributions/unit_ball.py | 43 +- src/distributions/unit_circle.py | 34 +- src/distributions/unit_disc.py | 34 +- src/distributions/unit_sphere.py | 41 +- src/distributions/zeta.py | 23 +- src/distributions/zipf.py | 25 +- src/main.py | 6 +- 15 files changed, 25516 insertions(+), 858 deletions(-) create mode 100644 charts/unit_ball.svg create mode 100644 charts/unit_circle.svg create mode 100644 charts/unit_disc.svg create mode 100644 charts/unit_sphere.svg diff --git a/charts/pert.svg b/charts/pert.svg index 861cf27..dda6958 100644 --- a/charts/pert.svg +++ b/charts/pert.svg @@ -1,12 +1,12 @@ - + - 2024-04-11T01:21:23.107838 + 2024-04-17T14:48:53.614393 image/svg+xml @@ -21,19 +21,19 @@ - - @@ -41,17 +41,17 @@ z - - + - - + + - - - + - - + - + - - + + - - + - - + - - - - - - + + + + + + - + - - + + - - + - - + + + + + + + + + + + + + + + + + - - + + + 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- - - - - - - - - + + + + + + + + + + + + - - + - - + - - - + + + + - - - - - - - + + + + + + + + + + + + + - - + - - - - - - - - + + + + + + + + + + + + + + + + - - + - - - - - - - - + + + + + + + + + + + + + + + + - + diff --git a/src/distributions/pert.py b/src/distributions/pert.py index cabc403..585fabd 100644 --- a/src/distributions/pert.py +++ b/src/distributions/pert.py @@ -8,24 +8,28 @@ def y(x, min_value, mode, max_value, shape): a = 1 + shape * (mode - min_value) / (max_value - min_value) b = 1 + shape * (max_value - mode) / (max_value - min_value) return beta.pdf(x, a, b, loc=min_value, scale=max_value - min_value) - inputs = [(0, 1, 2, 4)] - # Possible values for the distribution - x = np.linspace(0, 100, 1000) + + inputs = [(-1, 0, 1, 4), (-1, 0, 1, 1), (-1, 0, 1, 8), (-1, 0.5, 1, 4)] + # Adjusting the range of x values to be more meaningful for the PERT distribution + x = np.linspace(-1.5, 1.5, 1000) # max_value in inputs is 2, hence 3 is a reasonable upper bound # Creating the figure and the axis - fig, ax = plt.subplots() + fig, ax = plt.subplots(figsize=(10, 5)) - # Plotting the PDF for each value of a, b, and c - for min, mode, max, shape in inputs: - ax.plot(x, y(x, min, max, mode, shape), label=f'a = {min}, b = {mode}, c = {max}, shape = {shape}') + # Plotting the PDF for each value of min_value, mode, max_value, and shape + for min_value, mode, max_value, shape in inputs: + ax.plot(x, y(x, min_value, mode, max_value, shape), + label=f'min = {min_value}, mode = {mode}, max = {max_value}, shape = {shape}') # Adding title and labels - ax.set_title('Pert distribution') + ax.set_title('PERT Distribution') ax.set_xlabel('x') ax.set_ylabel('Probability density') # Adding a legend - ax.legend() + box = ax.get_position() + ax.set_position([box.x0, box.y0, box.width * 0.6, box.height]) + ax.legend(loc='upper left', bbox_to_anchor=(1, 0.6)) plt.savefig(f"{directory}/pert.{extension}") plt.close() diff --git a/src/distributions/unit_ball.py b/src/distributions/unit_ball.py index d0fb58d..1059426 100644 --- a/src/distributions/unit_ball.py +++ b/src/distributions/unit_ball.py @@ -1,6 +1,47 @@ import numpy as np import matplotlib.pyplot as plt +from mpl_toolkits.mplot3d import Axes3D +from scipy.spatial import ConvexHull def save_to(directory: str, extension: str): - pass + # Create a sphere + def plot_sphere(radius=1, num_divisions=50): + phi = np.linspace(0, np.pi, num_divisions) # polar angle + theta = np.linspace(0, 2 * np.pi, num_divisions) # azimuthal angle + + # Meshgrid + phi, theta = np.meshgrid(phi, theta) + x = radius * np.sin(phi) * np.cos(theta) + y = radius * np.sin(phi) * np.sin(theta) + z = radius * np.cos(phi) + + return x, y, z + + # Plotting parameters + radius = 1 + num_divisions = 50 # Increase this for a smoother sphere + + x, y, z = plot_sphere(radius, num_divisions) + + # Create a plot + fig = plt.figure(figsize=(8, 6)) + ax = fig.add_subplot(111, projection='3d') + ax.plot_surface(x, y, z, color='b', rstride=1, cstride=1, alpha=0.6, edgecolor='none') + + # Scaling the axes + ax.set_xlim([-1, 1]) + ax.set_ylim([-1, 1]) + ax.set_zlim([-1, 1]) + ax.set_aspect('auto') + ax.set_box_aspect([1, 1, 1]) + + # Labels and title + ax.set_xlabel('X') + ax.set_ylabel('Y') + ax.set_zlabel('Z') + ax.set_title('Unit Ball (solid)') + + # Save the figure + plt.savefig(f"{directory}/unit_ball.{extension}") + plt.close() diff --git a/src/distributions/unit_circle.py b/src/distributions/unit_circle.py index d0fb58d..9d8f9c7 100644 --- a/src/distributions/unit_circle.py +++ b/src/distributions/unit_circle.py @@ -3,4 +3,36 @@ def save_to(directory: str, extension: str): - pass + # Create a circle + def plot_circle(radius=1, num_divisions=100): + theta = np.linspace(0, 2 * np.pi, num_divisions) + x = radius * np.cos(theta) + y = radius * np.sin(theta) + + return x, y + + # Plotting parameters + radius = 1 + num_divisions = 100 # Increase this for a smoother circle + + x, y = plot_circle(radius, num_divisions) + + # Create a plot + fig, ax = plt.subplots(figsize=(8, 8)) + ax.fill(x, y, color='b', alpha=0.6) + + # Scaling the axes + ax.set_xlim([-1, 1]) + ax.set_ylim([-1, 1]) + ax.set_aspect('equal') + + # Labels and title + ax.set_xlabel('X') + ax.set_ylabel('Y') + ax.set_title('Unit Circle (solid)') + + plt.tight_layout() + + # Save the figure + plt.savefig(f"{directory}/unit_circle.{extension}") + plt.close() diff --git a/src/distributions/unit_disc.py b/src/distributions/unit_disc.py index d0fb58d..f49dc51 100644 --- a/src/distributions/unit_disc.py +++ b/src/distributions/unit_disc.py @@ -3,4 +3,36 @@ def save_to(directory: str, extension: str): - pass + # Create a circle + def plot_circle(radius=1, num_divisions=100): + theta = np.linspace(0, 2 * np.pi, num_divisions) + x = radius * np.cos(theta) + y = radius * np.sin(theta) + + return x, y + + # Plotting parameters + radius = 1 + num_divisions = 100 # Increase this for a smoother circle + + x, y = plot_circle(radius, num_divisions) + + # Create a plot + fig, ax = plt.subplots(figsize=(8, 8)) + ax.plot(x, y, color='b', alpha=0.6) + + # Scaling the axes + ax.set_xlim([-1, 1]) + ax.set_ylim([-1, 1]) + ax.set_aspect('equal') + + # Labels and title + ax.set_xlabel('X') + ax.set_ylabel('Y') + ax.set_title('Unit Disc (outline)') + + plt.tight_layout() + + # Save the figure + plt.savefig(f"{directory}/unit_disc.{extension}") + plt.close() diff --git a/src/distributions/unit_sphere.py b/src/distributions/unit_sphere.py index d0fb58d..2994ff3 100644 --- a/src/distributions/unit_sphere.py +++ b/src/distributions/unit_sphere.py @@ -3,4 +3,43 @@ def save_to(directory: str, extension: str): - pass + # Create a sphere + def plot_sphere(radius=1, num_divisions=50): + phi = np.linspace(0, np.pi, num_divisions) # polar angle + theta = np.linspace(0, 2 * np.pi, num_divisions) # azimuthal angle + + # Meshgrid + phi, theta = np.meshgrid(phi, theta) + x = radius * np.sin(phi) * np.cos(theta) + y = radius * np.sin(phi) * np.sin(theta) + z = radius * np.cos(phi) + + return x, y, z + + # Plotting parameters + radius = 1 + num_divisions = 50 # Increase this for a smoother sphere + + x, y, z = plot_sphere(radius, num_divisions) + + # Create a plot + fig = plt.figure(figsize=(8, 6)) + ax = fig.add_subplot(111, projection='3d') + ax.plot_wireframe(x, y, z, color='b', alpha=0.6, rstride=1, cstride=1) + + # Scaling the axes + ax.set_xlim([-1, 1]) + ax.set_ylim([-1, 1]) + ax.set_zlim([-1, 1]) + ax.set_aspect('auto') + ax.set_box_aspect([1, 1, 1]) + + # Labels and title + ax.set_xlabel('X') + ax.set_ylabel('Y') + ax.set_zlabel('Z') + ax.set_title('Unit Sphere (wireframe)') + + # Save the figure + plt.savefig(f"{directory}/unit_sphere.{extension}") + plt.close() diff --git a/src/distributions/zeta.py b/src/distributions/zeta.py index ca128a5..9f59951 100644 --- a/src/distributions/zeta.py +++ b/src/distributions/zeta.py @@ -4,26 +4,23 @@ def save_to(directory: str, extension: str): - # Possible values of s for the distribution - s_values = [1.5, 2, 3] - # Possible outcomes for a Zeta distributed variable - outcomes = np.arange(1, 11) + inputs = [3, 2, 1.5, 1.1] # Different values of s and n + outcomes = np.arange(1, 11) # Outcomes from 1 to 10 - # Creating the figure and the axis + # Creating the figure fig, ax = plt.subplots() + width = 0.2 # Bar width - # Plotting the PMF for each value of s - for i, s in enumerate(s_values): - ax.bar(outcomes + i * 0.2 - 0.1, zipf.pmf(outcomes, s), width=0.2, label=f's = {s}') + # Plotting the Zipf Distribution for each value of s + for i, s in enumerate(inputs): + ax.bar(outcomes + i * width - width / 2, zipf.pmf(outcomes, s), width=width, label=f's = {s}') - # Adding title and labels - ax.set_title('Zeta distribution') + ax.set_title('Zipf Distribution') ax.set_xlabel('Outcome') ax.set_ylabel('Probability') - ax.set_xticks(outcomes) # set the ticks to be the outcome values - - # Adding a legend + ax.set_xticks(outcomes) # Adjusting x-ticks to center ax.legend() + # Save the plot to a file plt.savefig(f"{directory}/zeta.{extension}") plt.close() diff --git a/src/distributions/zipf.py b/src/distributions/zipf.py index 5011347..4d7c0e0 100644 --- a/src/distributions/zipf.py +++ b/src/distributions/zipf.py @@ -1,29 +1,26 @@ import numpy as np import matplotlib.pyplot as plt -from scipy.stats import zipf +from scipy.stats import zipfian def save_to(directory: str, extension: str): - # Possible values of a for the distribution - a_values = [1.5, 2, 3] - # Possible outcomes for a Zipf distributed variable - outcomes = np.arange(1, 11) + inputs = [(2, 10), (1, 10), (0, 10)] # Different values of s and n + outcomes = np.arange(1, 12) # Outcomes from 1 to 10 - # Creating the figure and the axis + # Creating the figure fig, ax = plt.subplots() + width = 0.2 # Bar width - # Plotting the PMF for each value of a - for i, a in enumerate(a_values): - ax.bar(outcomes + i * 0.2 - 0.1, zipf.pmf(outcomes, a), width=0.2, label=f'a = {a}') + # Plotting the Zipf Distribution for each value of s + for i, (s, n) in enumerate(inputs): + ax.bar(outcomes + i * width - width / 2, zipfian.pmf(outcomes, s, n), width=width, label=f's = {s}, n = {n}') - # Adding title and labels - ax.set_title('Zipf distribution') + ax.set_title('Zipf Distribution') ax.set_xlabel('Outcome') ax.set_ylabel('Probability') - ax.set_xticks(outcomes) # set the ticks to be the outcome values - - # Adding a legend + ax.set_xticks(outcomes) # Adjusting x-ticks to center ax.legend() + # Save the plot to a file plt.savefig(f"{directory}/zipf.{extension}") plt.close() diff --git a/src/main.py b/src/main.py index c25ae4a..a027f48 100644 --- a/src/main.py +++ b/src/main.py @@ -47,7 +47,7 @@ # dirichlet, # exponential, # exponential_exp1, - fisher_f, + # fisher_f, # frechet, # gamma, # geometric, @@ -70,7 +70,7 @@ # unit_disc, # unit_sphere, # weibull, - # zeta, - # zipf, + zeta, + zipf, ): distr.save_to(out, ext) From 92456673f0ccce231cbf5534361af50211b8f7cb Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Thu, 2 May 2024 12:33:59 +0200 Subject: [PATCH 09/18] Add Dirichlet and implement feedback --- charts/dirichlet.png | Bin 0 -> 114129 bytes charts/gamma.svg | 60 +- charts/normal_inverse_gaussian.svg | 734 +- charts/pareto.svg | 433 +- charts/unit_ball.svg | 29194 ++++++++--------- charts/unit_circle.svg | 375 +- charts/unit_disc.svg | 374 +- charts/unit_sphere.svg | 10730 +++--- charts/weibull.svg | 1050 +- src/distributions/dirichlet.py | 107 +- src/distributions/gamma.py | 6 +- src/distributions/normal_inverse_gaussian.py | 6 +- src/distributions/pareto.py | 2 +- src/distributions/unit_circle.py | 4 +- src/distributions/unit_disc.py | 4 +- src/distributions/unit_sphere.py | 2 +- src/distributions/weibull.py | 10 +- src/main.py | 6 +- 18 files changed, 21364 insertions(+), 21733 deletions(-) create mode 100644 charts/dirichlet.png diff --git a/charts/dirichlet.png b/charts/dirichlet.png new file mode 100644 index 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Stack the valid points - - # Calculate the Dirichlet PDF for valid points - PDF = dirichlet.pdf(points, alpha) - - # Reshape PDF back into a 2D array for contour plotting - # Initialize full grid PDF to zero (areas outside the triangle remain zero) - full_PDF = np.zeros((resolution, resolution)) - full_PDF[valid] = PDF # Place the calculated PDF in the valid grid positions - - # Create a contour plot on the provided axis - contour = ax.contourf(np.linspace(0, 1, resolution), np.linspace(0, 1, resolution), full_PDF, levels=50, cmap='Blues') - plt.colorbar(contour, ax=ax, pad=0.05, aspect=10) +import matplotlib.tri as tri +from math import gamma + + +# Code source: https://blog.bogatron.net/blog/2014/02/02/visualizing-dirichlet-distributions/ +class Dirichlet(object): + def __init__(self, alpha): + self._alpha = np.array(alpha) + self._coef = gamma(np.sum(self._alpha)) / np.multiply.reduce([gamma(a) for a in self._alpha]) + + def pdf(self, x): + """Returns pdf value for `x`.""" + return self._coef * np.multiply.reduce([xx ** (aa - 1) for (xx, aa) in zip(x, self._alpha)]) + + +def save_to(directory: str, _: str): + extension = "png" # Hardcode png output format. SVG output for Dirichlet is ~22 MB, while png is ~115KB. + corners = np.array([[0, 0], [1, 0], [0.5, 0.75 ** 0.5]]) + AREA = 0.5 * 1 * 0.75 ** 0.5 + triangle = tri.Triangulation(corners[:, 0], corners[:, 1]) + + # For each corner of the triangle, the pair of other corners + pairs = [corners[np.roll(range(3), -i)[1:]] for i in range(3)] + # The area of the triangle formed by point xy and another pair or points + tri_area = lambda xy, pair: 0.5 * np.linalg.norm(np.cross(*(pair - xy))) + + def xy2bc(xy, tol=1.e-4): + """Converts 2D Cartesian coordinates to barycentric.""" + coords = np.array([tri_area(xy, p) for p in pairs]) / AREA + return np.clip(coords, tol, 1.0 - tol) + + def draw_pdf_contours(ax, alphas, nlevels=200, subdiv=8, **kwargs): + refiner = tri.UniformTriRefiner(triangle) + trimesh = refiner.refine_triangulation(subdiv=subdiv) + pvals = [Dirichlet(alphas).pdf(xy2bc(xy)) for xy in zip(trimesh.x, trimesh.y)] + + ax.tricontourf(trimesh, pvals, nlevels, cmap='jet', **kwargs) + ax.axis('equal') ax.set_xlim(0, 1) - ax.set_ylim(0, 1) - ax.set_xticks([]) - ax.set_yticks([]) - ax.set_xlabel(r'$x_1$', fontsize=12) - ax.set_ylabel(r'$x_2$', fontsize=12) - ax.set_title(r'$\alpha = {}$'.format(alpha), fontsize=14) - - # Define alpha parameters for the Dirichlet distributions to be plotted - alpha_params = [ - (1.5, 1.5, 1.5), - (5.0, 5.0, 5.0), - (1.0, 2.0, 2.0), - (2.0, 4.0, 8.0) + ax.set_ylim(0, 0.75 ** 0.5) + ax.axis('off') + ax.text(0.5, -0.1, f"α = {alphas}", ha='center', transform=ax.transAxes) + + inputs = [ + [1.5, 1.5, 1.5], + [5.0, 5.0, 5.0], + [1.0, 2.0, 2.0], + [2.0, 4.0, 8.0] ] - # Create a figure with subplots fig, axes = plt.subplots(2, 2, figsize=(10, 8)) + for ax, alphas in zip(axes.flatten(), inputs): + draw_pdf_contours(ax, alphas) - # Loop through the list of alpha parameters - for alpha, ax in zip(alpha_params, axes.flatten()): - plot_dirichlet(alpha, ax) - + # Save the figure + plt.tight_layout() plt.savefig(f"{directory}/dirichlet.{extension}") - plt.close() \ No newline at end of file + plt.close() diff --git a/src/distributions/gamma.py b/src/distributions/gamma.py index 9ab212a..e9a2b79 100644 --- a/src/distributions/gamma.py +++ b/src/distributions/gamma.py @@ -10,10 +10,12 @@ def save_to(directory: str, extension: str): # Creating the figure and the axis fig, ax = plt.subplots() + colors = ["blue", "red", "green", "blue", "red", "green"] + alphas = [1.0, 1.0, 1.0, 0.6, 0.6, 0.6] # Plotting the PDF for each value of alpha and beta - for k, theta in inputs: - ax.plot(x, gamma.pdf(x, k, scale=theta), label=f'k = {k}, θ = {theta}') + for i, (k, theta) in enumerate(inputs): + ax.plot(x, gamma.pdf(x, k, scale=theta), label=f'k = {k}, θ = {theta}', color=colors[i], alpha=alphas[i]) # Adding title and labels ax.set_title('Gamma distribution') diff --git a/src/distributions/normal_inverse_gaussian.py b/src/distributions/normal_inverse_gaussian.py index ec69ec2..209faec 100644 --- a/src/distributions/normal_inverse_gaussian.py +++ b/src/distributions/normal_inverse_gaussian.py @@ -4,7 +4,7 @@ def save_to(directory: str, extension: str): - inputs = [(1, 0, 0, 1), (3, 0, 0, 1), (1, 0.9, 0, 1), (1, 0, -1, 1), (1, 0, 0, 3)] + inputs = [(1, 0), (3, 0), (0.1, 0), (1, -0.99), (1, 0.99)] # Possible values for the distribution x = np.linspace(-5, 5, 1000) @@ -12,8 +12,8 @@ def save_to(directory: str, extension: str): fig, ax = plt.subplots(figsize=(8, 5)) # Plotting the PDF for the Normal Inverse Gaussian distribution - for alpha, beta, mu, delta in inputs: - ax.plot(x, norminvgauss.pdf(x, alpha, beta, mu, delta), label=f'α = {alpha}, β = {beta}, μ = {mu}, δ = {delta}') + for alpha, beta in inputs: + ax.plot(x, norminvgauss.pdf(x, alpha, beta, 0, 1), label=f'α = {alpha}, β = {beta}') # Adding title and labels ax.set_title('Normal Inverse Gaussian distribution') diff --git a/src/distributions/pareto.py b/src/distributions/pareto.py index 5bbd1d0..8531a65 100644 --- a/src/distributions/pareto.py +++ b/src/distributions/pareto.py @@ -4,7 +4,7 @@ def save_to(directory: str, extension: str): - inputs = [1, 2, 3, 4] + inputs = [1, 2, 3] # Possible values for the distribution x = np.linspace(0, 3, 1000) diff --git a/src/distributions/unit_circle.py b/src/distributions/unit_circle.py index 9d8f9c7..589e421 100644 --- a/src/distributions/unit_circle.py +++ b/src/distributions/unit_circle.py @@ -19,7 +19,7 @@ def plot_circle(radius=1, num_divisions=100): # Create a plot fig, ax = plt.subplots(figsize=(8, 8)) - ax.fill(x, y, color='b', alpha=0.6) + ax.plot(x, y, color='b', alpha=0.6) # Scaling the axes ax.set_xlim([-1, 1]) @@ -29,7 +29,7 @@ def plot_circle(radius=1, num_divisions=100): # Labels and title ax.set_xlabel('X') ax.set_ylabel('Y') - ax.set_title('Unit Circle (solid)') + ax.set_title('Unit Circle') plt.tight_layout() diff --git a/src/distributions/unit_disc.py b/src/distributions/unit_disc.py index f49dc51..58ed3a4 100644 --- a/src/distributions/unit_disc.py +++ b/src/distributions/unit_disc.py @@ -19,7 +19,7 @@ def plot_circle(radius=1, num_divisions=100): # Create a plot fig, ax = plt.subplots(figsize=(8, 8)) - ax.plot(x, y, color='b', alpha=0.6) + ax.fill(x, y, color='b', alpha=0.6) # Scaling the axes ax.set_xlim([-1, 1]) @@ -29,7 +29,7 @@ def plot_circle(radius=1, num_divisions=100): # Labels and title ax.set_xlabel('X') ax.set_ylabel('Y') - ax.set_title('Unit Disc (outline)') + ax.set_title('Unit Disc') plt.tight_layout() diff --git a/src/distributions/unit_sphere.py b/src/distributions/unit_sphere.py index 2994ff3..9e8c64e 100644 --- a/src/distributions/unit_sphere.py +++ b/src/distributions/unit_sphere.py @@ -38,7 +38,7 @@ def plot_sphere(radius=1, num_divisions=50): ax.set_xlabel('X') ax.set_ylabel('Y') ax.set_zlabel('Z') - ax.set_title('Unit Sphere (wireframe)') + ax.set_title('Unit Sphere (shell)') # Save the figure plt.savefig(f"{directory}/unit_sphere.{extension}") diff --git a/src/distributions/weibull.py b/src/distributions/weibull.py index 1d15596..cf8b4ba 100644 --- a/src/distributions/weibull.py +++ b/src/distributions/weibull.py @@ -4,12 +4,12 @@ def save_to(directory: str, extension: str): - def y(x, alpha): - y = weibull_min.pdf(x, alpha) + def y(x, scale, shape): + y = weibull_min.pdf(x, shape, scale=scale) y[y > 5] = np.nan return y # Possible values of alpha for the distribution - alpha_values = [0.1, 0.5, 1, 2, 5, 10] + inputs = [(1, 1), (2, 1), (3, 1), (1, 2), (1, 3), (2, 2)] # Possible values for the distribution x = np.linspace(0, 3, 1000) @@ -17,8 +17,8 @@ def y(x, alpha): fig, ax = plt.subplots() # Plotting the PDF for each value of alpha - for alpha in alpha_values: - ax.plot(x, y(x, alpha), label=f'α = {alpha}') + for scale, shape in inputs: + ax.plot(x, y(x, scale, shape), label=f'λ = {scale}, k = {shape}') # Adding title and labels ax.set_title('Weibull distribution') diff --git a/src/main.py b/src/main.py index a027f48..63aed64 100644 --- a/src/main.py +++ b/src/main.py @@ -44,7 +44,7 @@ # binomial, # cauchy, # chi_squared, - # dirichlet, + dirichlet, # exponential, # exponential_exp1, # fisher_f, @@ -70,7 +70,7 @@ # unit_disc, # unit_sphere, # weibull, - zeta, - zipf, + # zeta, + # zipf, ): distr.save_to(out, ext) From 357410cff31c84544f6fe1af7ad0a8829b740877 Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Thu, 2 May 2024 12:41:21 +0200 Subject: [PATCH 10/18] Add title to Dirichlet --- charts/dirichlet.png | Bin 114129 -> 107230 bytes src/distributions/dirichlet.py | 3 +++ 2 files changed, 3 insertions(+) diff --git a/charts/dirichlet.png b/charts/dirichlet.png index ee247fffa6fe5a7bc2e559c9bf0826f44380ba95..69c3a51b3e95c3a1d35cf668f6634382e7d8fcc0 100644 GIT binary patch literal 107230 zcmeFYX*|^HA3sbgp-9%OSxTKkPFb>+-6>ltS%xDgvKtJ>SSn_Y5JOiZVY z40Z1^F|o{pf9Fmd2fz7O&`<;Xcf(Kbp`V49lV5;?&toQI2S0CjFF$veN9X(>`}n$e zd0vxKk-L87+!H@PZ(mh;d5{154RT&S&hp~tr4ZmDY~F@ezD!J94$wd50$G|^=>Xk_0Q5eg}<~U{$upeF4W}Y 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-42,16 +42,16 @@ z +" clip-path="url(#p1f7ffba066)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - - + @@ -120,11 +120,11 @@ z +" clip-path="url(#p1f7ffba066)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -179,11 +179,11 @@ z +" clip-path="url(#p1f7ffba066)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -201,11 +201,11 @@ L 173.7 43.2 +" clip-path="url(#p1f7ffba066)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -249,11 +249,11 @@ z +" clip-path="url(#p1f7ffba066)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -270,11 +270,11 @@ L 257.4 43.2 +" clip-path="url(#p1f7ffba066)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -291,11 +291,11 @@ L 299.25 43.2 +" clip-path="url(#p1f7ffba066)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; 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stroke-width: 1.5; stroke-linecap: square"/> - - - + - - + @@ -1634,14 +1634,14 @@ L 453.8 181.856562 - - + @@ -1683,14 +1683,14 @@ L 453.8 196.534687 - - + @@ -1737,7 +1737,7 @@ L 453.8 211.212812 - + diff --git a/requirements.txt b/requirements.txt index f1161d4..9190d30 100644 --- a/requirements.txt +++ b/requirements.txt @@ -1,3 +1,4 @@ numpy==1.26.4 matplotlib==3.8.4 -scipy==1.13.0 \ No newline at end of file +scipy==1.13.0 +python-ternary==1.0.8 \ No newline at end of file diff --git a/src/distributions/dirichlet.py b/src/distributions/dirichlet.py index f701865..8d1036c 100644 --- a/src/distributions/dirichlet.py +++ b/src/distributions/dirichlet.py @@ -2,7 +2,7 @@ import matplotlib.pyplot as plt import matplotlib.tri as tri from math import gamma -from matplotlib import ticker +import ternary # Code source: https://blog.bogatron.net/blog/2014/02/02/visualizing-dirichlet-distributions/ @@ -29,19 +29,34 @@ def xy2bc(xy, tol=1.e-4): coords = np.array([tri_area(xy, p) for p in pairs]) / AREA return np.clip(coords, tol, 1.0 - tol) - def draw_pdf_contours(ax, dist, alphas, nlevels=200, subdiv=8): + def draw_pdf_contours(ax, alphas, nlevels=200, subdiv=8): refiner = tri.UniformTriRefiner(triangle) trimesh = refiner.refine_triangulation(subdiv=subdiv) - pvals = [dist.pdf(xy2bc(xy)) for xy in zip(trimesh.x, trimesh.y)] + pvals = [Dirichlet(alphas).pdf(xy2bc(xy)) for xy in zip(trimesh.x, trimesh.y)] contour = ax.tricontourf(trimesh, pvals, nlevels, cmap='plasma') + ternary.plt.colorbar(contour, ax=ax, orientation='vertical', fraction=0.05, pad=0.05) + ax.axis('equal') - ax.set_xlim(0, 1) - ax.set_ylim(0, np.sqrt(0.75)) - ax.axis('on') - ax.set_title(f"α = {alphas}", fontsize=10) + ax.spines['top'].set_visible(False) + ax.spines['right'].set_visible(False) + ax.spines['bottom'].set_visible(False) + ax.spines['left'].set_visible(False) + + tax = ternary.TernaryAxesSubplot(ax=ax, scale=1.0) + + tax.boundary(linewidth=1.0) + + tax.ticks(axis='lbr', linewidth=1, multiple=0.2, tick_formats="%.1f", offset=0.02) + + fontsize = 13 + tax.set_title(f"α = {alphas}", fontsize=fontsize, pad=20) + tax.right_axis_label("$x_3$", fontsize=fontsize, offset=0.15) + tax.left_axis_label("$x_1$", fontsize=fontsize, offset=0.15) + tax.bottom_axis_label("$x_2$", fontsize=fontsize) + tax._redraw_labels() # Won't do this automatically because of the way we are saving the plot - return contour + tax.clear_matplotlib_ticks() inputs = [ [1.5, 1.5, 1.5], @@ -51,17 +66,11 @@ def draw_pdf_contours(ax, dist, alphas, nlevels=200, subdiv=8): ] fig, axes = plt.subplots(2, 2, figsize=(12, 10)) - contours = [] for ax, alphas in zip(axes.flatten(), inputs): - contour = draw_pdf_contours(ax, Dirichlet(alphas), alphas) - contours.append(contour) + draw_pdf_contours(ax, alphas) # Adding the main title and colorbar - plt.suptitle('Dirichlet Distribution', fontsize=16) - cbar = fig.colorbar(contours[0], ax=axes.ravel().tolist(), orientation='horizontal', pad=0.75) - cbar.set_label('Probability Density') - cbar.ax.xaxis.set_major_locator(ticker.MaxNLocator(nbins=5)) # Set number of ticks on colorbar + ternary.plt.suptitle('Dirichlet Distribution', fontsize=16) - plt.subplots_adjust(top=0.90, bottom=0.25) # Adjust the subplots to fit the title and colorbar - plt.savefig(f"{directory}/dirichlet.{extension}") + ternary.plt.savefig(f"{directory}/dirichlet.{extension}") plt.close() diff --git a/src/distributions/pert.py b/src/distributions/pert.py index f50439a..1ad406d 100644 --- a/src/distributions/pert.py +++ b/src/distributions/pert.py @@ -29,7 +29,7 @@ def y(x, min_value, mode, max_value, shape): # Adding a legend box = ax.get_position() ax.set_position([box.x0, box.y0, box.width * 0.6, box.height]) - ax.legend(loc='upper left', bbox_to_anchor=(1, 0.6)) + ax.legend(loc='upper left', bbox_to_anchor=(1, 1)) ax.grid() ax.margins(x=0, y=0) ymin, ymax = ax.get_ylim() From 631d0c2e12b8b8c6c16a629b2b47435d1d5d1634 Mon Sep 17 00:00:00 2001 From: Michael 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ternary.plt.savefig(f"{directory}/dirichlet.{extension}", bbox_inches='tight', pad_inches=0.5) plt.close()

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figure plt.tight_layout() + plt.subplots_adjust(top=0.9) plt.savefig(f"{directory}/dirichlet.{extension}") plt.close() From 6d15312950604abcd2764b8d73eafd20623c254c Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Thu, 2 May 2024 12:42:12 +0200 Subject: [PATCH 11/18] Comment in main method --- src/distributions/dirichlet.py | 2 +- src/main.py | 62 +++++++++++++++++----------------- 2 files changed, 32 insertions(+), 32 deletions(-) diff --git a/src/distributions/dirichlet.py b/src/distributions/dirichlet.py index fdfe5b1..0d4c9b6 100644 --- a/src/distributions/dirichlet.py +++ b/src/distributions/dirichlet.py @@ -54,7 +54,7 @@ def draw_pdf_contours(ax, alphas, nlevels=200, subdiv=8, **kwargs): for ax, alphas in zip(axes.flatten(), inputs): draw_pdf_contours(ax, alphas) - plt.suptitle("Dirichlet Distribution", fontsize=12) + plt.suptitle("Dirichlet distribution", fontsize=12) # Save the figure plt.tight_layout() diff --git a/src/main.py b/src/main.py index 63aed64..ce74756 100644 --- a/src/main.py +++ b/src/main.py @@ -40,37 +40,37 @@ if not os.path.exists(out): os.makedirs(out) for distr in ( - # beta, - # binomial, - # cauchy, - # chi_squared, + beta, + binomial, + cauchy, + chi_squared, dirichlet, - # exponential, - # exponential_exp1, - # fisher_f, - # frechet, - # gamma, - # geometric, - # gumbel, - # hypergeometric, - # inverse_gaussian, - # log_normal, - # normal, - # normal_inverse_gaussian, - # pareto, - # pert, - # poisson, - # skew_normal, - # standard_geometric, - # standard_normal, - # student_t, - # triangular, - # unit_ball, - # unit_circle, - # unit_disc, - # unit_sphere, - # weibull, - # zeta, - # zipf, + exponential, + exponential_exp1, + fisher_f, + frechet, + gamma, + geometric, + gumbel, + hypergeometric, + inverse_gaussian, + log_normal, + normal, + normal_inverse_gaussian, + pareto, + pert, + poisson, + skew_normal, + standard_geometric, + standard_normal, + student_t, + triangular, + unit_ball, + unit_circle, + unit_disc, + unit_sphere, + weibull, + zeta, + zipf, ): distr.save_to(out, ext) From 40f483bb45e58050a3d8ad2e8d04c04ff0dcabe6 Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Thu, 2 May 2024 12:43:34 +0200 Subject: [PATCH 12/18] Update Dirichlet --- charts/dirichlet.png | Bin 107230 -> 107256 bytes 1 file changed, 0 insertions(+), 0 deletions(-) diff --git a/charts/dirichlet.png b/charts/dirichlet.png index 69c3a51b3e95c3a1d35cf668f6634382e7d8fcc0..5e28d06e5be8e7dc50dc05399038eb7c5ea69566 100644 GIT binary patch delta 95361 zcmZ6yc_5VS_dh;Ti9{t!)+|Mvr3G2b-XmL^%9cDrvJA%9#+|Zc-zu_)QVAi38C%&Z zTh@tLWXWKf8T()?-|Oyqe|~@b{z%)soa#hoo?^2R6IwdW(qeAHG?vE;8FQ(}3KVr|D{Pd}eKJS;$3ir5A{e!sh^ai5& z-jx=kiXB%!a#x4l72}|_(7fp{HP4cigJQ@E~otB-}=Qbip5MO8_#`}P5d;ntr5t=kH*Vgo@1aJH62za zQ!U142aAgqHmu9+TT?A`UXFS#Qc9jwhHi69hbN)*;kQj**{>q6`{Xkscj0*MVQ5|C@sdi>sEDaGP6y0o4PIT71&`j=ia#D9x(TrYtf^T z$!_2u-6W4n)H5e0oc!>_wHqv1-38gz*|Mz%A%oVKLFf*PeO7nzY`}c0u#NVV1$h6Q zzV4EK09f>$TBg*-FD_)q>CE~e2lT_nWt+yTUg|Mmg?T1j%N>~I;}$@7cZgM5eXR7A 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zot$!a=b}fw;wF9gUojX|-#yyqTtSstf!2|-!K99k+vRqZoXR;zl$4a}L&!2sF1|m! zh91B9vB9SfbU(cHR*<~d{T+iK{W2|i{`~nekrTm4jM zgme4!^l2~UQ-SK@Cr_Qa0xGUgbI)%{|8w=~Ofcq-x%q3Cx6RGs!otFW9$-dilN{xl z-=o#8l4X)^m3Drszs`p7B+5yNwp=$#U%_4$gs(u_tjvO&R z#&zqhe+T@M2=9as;tK{V{c(73a8Na5tEiDlCwqb`Fwp?#zIpTJjb8hPfU~o6bKu~W z-s8#~Z_&?*L}K!}aT3*R)kx^nDc-x=B*DLlNtSA~aJBdkP8%w$DM z<@lO~lat0u)6=J%h6V;{;N9ys;O*`GWpixI;Se>NiDJM z7k-y$dV1B-FIR&~vemG+4weB3($tIGT(SL8o0>F2XdA9y{861}M@NBCKm&J|ce@fP zk*YtbqNsQ#jJp2f^Jm4ML`qc<(PlHW88Y0_(<6fF6jnwzHaZx~WSo(a>6mRz_86{k z?k5n?5}wU6yND}LseD7JHzjwDah2J8{034>Hpu$+2 zCJJR1rp%Fm@ z-@g4$DQusW&nYKLXWy{5w;ySMd;WrFXJ`AZPc)P)8E@}W9v2lA8INwuom^dA{dD&$ zr$)$@`&e~i!h_&fDWP&uP_$%Ca}yq!UY1DZF0)1Fr?;vBM5Q~Yr*6n*Lv(d@Y1=D8 zkw4d~e!K7DmdNy9rj_8rTL#n5LZR6S6!l$D<8t~(nd<#%MUe28yo5i^;6VL#S?HhE z&mrHJ_}^8)dBiS4VRJ*8|d-cH_U^BdFs#l?N_v!xtUOtcy From 54e1f608cee0832ce8dc05f39a9a0ee8ae166752 Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Thu, 2 May 2024 14:15:20 +0200 Subject: [PATCH 13/18] Update Pareto distribution to add scale parameter --- charts/pareto.svg | 259 +++++++++++++++++++++++++----------- src/distributions/pareto.py | 6 +- 2 files changed, 188 insertions(+), 77 deletions(-) diff --git a/charts/pareto.svg b/charts/pareto.svg index 9a4f858..a8d3a6a 100644 --- a/charts/pareto.svg +++ b/charts/pareto.svg @@ -6,7 +6,7 @@ - 2024-04-30T10:44:26.546219 + 2024-05-02T14:10:56.742828 image/svg+xml @@ -41,12 +41,12 @@ z - - + @@ -91,7 +91,7 @@ z - + @@ -133,7 +133,7 @@ z - + @@ -164,7 +164,7 @@ z - + @@ -179,7 +179,7 @@ z - + @@ -220,7 +220,7 @@ z - + @@ -235,7 +235,7 @@ z - + @@ -309,12 +309,12 @@ z - - + @@ -329,7 +329,7 @@ L -3.5 0 - + @@ -344,7 +344,7 @@ L -3.5 0 - + @@ -359,7 +359,7 @@ L -3.5 0 - + @@ -374,7 +374,7 @@ L -3.5 0 - + @@ -389,7 +389,7 @@ L -3.5 0 - + @@ -404,7 +404,7 @@ L -3.5 0 - + @@ -755,7 +755,7 @@ L 362.414545 284.148 L 379.63846 285.389433 L 398.487273 286.528 L 398.487273 286.528 -" clip-path="url(#pfd72dd13f3)" style="fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square"/> +" clip-path="url(#p31fe83ef89)" style="fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square"/> +" clip-path="url(#p31fe83ef89)" style="fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square"/> +" clip-path="url(#p31fe83ef89)" style="fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square"/> + + + - - - + - - + + + + + - - - - - - + + + + + + + + + + + + + - - + - - - - - - - + + + + + + + + + + + + + + + - - + - - - - - - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + - + diff --git a/src/distributions/pareto.py b/src/distributions/pareto.py index 8531a65..254c38c 100644 --- a/src/distributions/pareto.py +++ b/src/distributions/pareto.py @@ -4,7 +4,7 @@ def save_to(directory: str, extension: str): - inputs = [1, 2, 3] + inputs = [(1, 1), (1, 2), (1, 3), (2, 1)] # Possible values for the distribution x = np.linspace(0, 3, 1000) @@ -12,8 +12,8 @@ def save_to(directory: str, extension: str): fig, ax = plt.subplots() # Plotting the PDF for each value of alpha - for alpha in inputs: - ax.plot(x, pareto.pdf(x, alpha), label=f'α = {alpha}') + for scale, shape in inputs: + ax.plot(x, pareto.pdf(x, shape, scale=scale), label=f'x$_{{m}}$ = {scale}, α = {shape}') # Adding title and labels ax.set_title('Pareto distribution') From d65955ab43458173a882f93c298d20985ae3d7a0 Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Thu, 2 May 2024 16:58:42 +0200 Subject: [PATCH 14/18] Add grid lines, remove padding --- charts/beta.svg | 829 +-- charts/binomial.svg | 416 +- charts/cauchy.svg | 843 +-- charts/chi_squared.svg | 612 ++- charts/dirichlet.png | Bin 107256 -> 154403 bytes charts/exponential.svg | 471 +- charts/exponential_exp1.svg | 274 +- charts/fisher_f.svg | 874 ++-- charts/frechet.svg | 972 ++-- charts/gamma.svg | 753 +-- charts/geometric.svg | 513 +- charts/gumbel.svg | 741 +-- charts/hypergeometric.svg | 425 +- charts/inverse_gaussian.svg | 727 +-- charts/log_normal.svg | 814 +-- charts/normal.svg | 811 +-- charts/normal_inverse_gaussian.svg | 1095 ++-- charts/pareto.svg | 469 +- charts/pert.svg | 801 +-- charts/poisson.svg | 606 ++- charts/skew_normal.svg | 970 ++-- charts/standard_geometric.svg | 280 +- charts/standard_normal.svg | 398 +- charts/student_t.svg | 1329 ++--- charts/triangular.svg | 295 +- charts/unit_ball.svg | 4806 +++++++++--------- charts/unit_circle.svg | 172 +- charts/unit_disc.svg | 170 +- charts/unit_sphere.svg | 204 +- charts/weibull.svg | 804 +-- charts/zeta.svg | 613 ++- charts/zipf.svg | 532 +- src/distributions/beta.py | 2 + src/distributions/binomial.py | 2 + src/distributions/cauchy.py | 2 + src/distributions/chi_squared.py | 2 + src/distributions/dirichlet.py | 42 +- src/distributions/exponential.py | 2 + src/distributions/exponential_exp1.py | 2 + src/distributions/fisher_f.py | 2 + src/distributions/frechet.py | 2 + src/distributions/gamma.py | 2 + src/distributions/geometric.py | 2 + src/distributions/gumbel.py | 2 + src/distributions/hypergeometric.py | 2 + src/distributions/inverse_gaussian.py | 2 + src/distributions/log_normal.py | 2 + src/distributions/normal.py | 2 + src/distributions/normal_inverse_gaussian.py | 2 + src/distributions/pareto.py | 2 + src/distributions/pert.py | 2 + src/distributions/poisson.py | 2 + src/distributions/skew_normal.py | 2 + src/distributions/standard_geometric.py | 2 + src/distributions/standard_normal.py | 2 + src/distributions/student_t.py | 2 + src/distributions/triangular.py | 2 + src/distributions/unit_ball.py | 1 + src/distributions/unit_circle.py | 2 + src/distributions/unit_disc.py | 2 + src/distributions/unit_sphere.py | 1 + src/distributions/weibull.py | 2 + src/distributions/zeta.py | 2 + src/distributions/zipf.py | 2 + 64 files changed, 12920 insertions(+), 10801 deletions(-) diff --git a/charts/beta.svg b/charts/beta.svg index 12f68c7..00ffc64 100644 --- a/charts/beta.svg +++ b/charts/beta.svg @@ -6,7 +6,7 @@ - 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clip-path="url(#pc1cdb716db)" style="fill: #ff7f0e"/> - +" clip-path="url(#pc1cdb716db)" style="fill: #ff7f0e"/> - +" clip-path="url(#pc1cdb716db)" style="fill: #ff7f0e"/> - +" clip-path="url(#pc1cdb716db)" style="fill: #ff7f0e"/> +" clip-path="url(#pc1cdb716db)" style="fill: #ff7f0e"/> - +" clip-path="url(#pc1cdb716db)" style="fill: #ff7f0e"/> - +" clip-path="url(#pc1cdb716db)" style="fill: #ff7f0e"/> - +" clip-path="url(#pc1cdb716db)" style="fill: #ff7f0e"/> - +" clip-path="url(#pc1cdb716db)" style="fill: #ff7f0e"/> - +" clip-path="url(#pc1cdb716db)" style="fill: #ff7f0e"/> + + + - - + - + - + + + + - + - + - + + + + - + - + - + + + + - + - + - + + + + - + - + - + + + + - + @@ -445,14 +475,19 @@ z - + + + + - + - + - + + + + - + - + - + + + + - + - + - + + + + - + - + - + + + + - + - + @@ -934,14 +989,19 @@ z - + + + + - - + @@ -964,14 +1024,19 @@ z - + + + + - + - + @@ -980,14 +1045,19 @@ z - + + + + - + - + @@ -996,14 +1066,19 @@ z - + + + + - + - + @@ -1012,14 +1087,19 @@ z - + + 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- +" clip-path="url(#p3786bb48e9)" style="fill: #1f77b4"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #1f77b4"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #1f77b4"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #ff7f0e"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #ff7f0e"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #ff7f0e"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #ff7f0e"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #ff7f0e"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #ff7f0e"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #ff7f0e"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #ff7f0e"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #ff7f0e"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #ff7f0e"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #2ca02c"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #2ca02c"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #2ca02c"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #2ca02c"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #2ca02c"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #2ca02c"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #2ca02c"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #2ca02c"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #2ca02c"/> - +" clip-path="url(#p3786bb48e9)" style="fill: #2ca02c"/> + + + - - + - + - + + + + - + - + - + + + + - + - + - + + + + - + - + - + + + + - + - + - + + + + - + - + - + + + + - + - + - + + + + - + - + - + + + + - + - + - + + + + - + - + - + + + + - - + @@ -1074,14 +1129,19 @@ z - + + + + - + - + @@ -1089,14 +1149,19 @@ z - + + + + - + - + @@ -1104,14 +1169,19 @@ z - + + + + - + - + @@ -1119,14 +1189,19 @@ z - + + + + - + - + @@ -1134,14 +1209,19 @@ z - + + + + - + - + @@ -1149,14 +1229,19 @@ z - + + + + - + - + @@ -1164,14 +1249,19 @@ z - + + + + - + - + @@ -1179,14 +1269,19 @@ z - + + + + - + - + @@ -1469,7 +1564,7 @@ z - + diff --git a/charts/gumbel.svg b/charts/gumbel.svg index 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clip-path="url(#pe8ec82fbd8)" style="fill: #1f77b4"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #1f77b4"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #1f77b4"/> +" clip-path="url(#pe8ec82fbd8)" style="fill: #1f77b4"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #1f77b4"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #1f77b4"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #1f77b4"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #1f77b4"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #ff7f0e"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #ff7f0e"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #ff7f0e"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #ff7f0e"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #ff7f0e"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #ff7f0e"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #ff7f0e"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #ff7f0e"/> - +" clip-path="url(#pe8ec82fbd8)" style="fill: #ff7f0e"/> - +" 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--git a/src/distributions/beta.py b/src/distributions/beta.py index e686a07..3d94d83 100644 --- a/src/distributions/beta.py +++ b/src/distributions/beta.py @@ -28,6 +28,8 @@ def y(a, b, x): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/beta.{extension}") plt.close() diff --git a/src/distributions/binomial.py b/src/distributions/binomial.py index 223b457..ff1ab6f 100644 --- a/src/distributions/binomial.py +++ b/src/distributions/binomial.py @@ -24,6 +24,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/binomial.{extension}") plt.close() diff --git a/src/distributions/cauchy.py b/src/distributions/cauchy.py index b2dcfa9..92c0140 100644 --- a/src/distributions/cauchy.py +++ b/src/distributions/cauchy.py @@ -22,6 +22,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/cauchy.{extension}") plt.close() diff --git a/src/distributions/chi_squared.py b/src/distributions/chi_squared.py index 8782996..e46ab00 100644 --- a/src/distributions/chi_squared.py +++ b/src/distributions/chi_squared.py @@ -27,6 +27,8 @@ def y(x, df): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/chi_squared.{extension}") plt.close() diff --git a/src/distributions/dirichlet.py b/src/distributions/dirichlet.py index 0d4c9b6..761a6fb 100644 --- a/src/distributions/dirichlet.py +++ b/src/distributions/dirichlet.py @@ -2,6 +2,7 @@ import matplotlib.pyplot as plt import matplotlib.tri as tri from math import gamma +from matplotlib import ticker # Code source: https://blog.bogatron.net/blog/2014/02/02/visualizing-dirichlet-distributions/ @@ -16,32 +17,33 @@ def pdf(self, x): def save_to(directory: str, _: str): - extension = "png" # Hardcode png output format. SVG output for Dirichlet is ~22 MB, while png is ~115KB. - corners = np.array([[0, 0], [1, 0], [0.5, 0.75 ** 0.5]]) - AREA = 0.5 * 1 * 0.75 ** 0.5 + extension = "png" # Hardcode png output format. SVG file size for this distribution is ~100x larger. + corners = np.array([[0, 0], [1, 0], [0.5, np.sqrt(0.75)]]) + AREA = 0.5 * 1 * np.sqrt(0.75) triangle = tri.Triangulation(corners[:, 0], corners[:, 1]) - # For each corner of the triangle, the pair of other corners pairs = [corners[np.roll(range(3), -i)[1:]] for i in range(3)] - # The area of the triangle formed by point xy and another pair or points tri_area = lambda xy, pair: 0.5 * np.linalg.norm(np.cross(*(pair - xy))) def xy2bc(xy, tol=1.e-4): - """Converts 2D Cartesian coordinates to barycentric.""" coords = np.array([tri_area(xy, p) for p in pairs]) / AREA return np.clip(coords, tol, 1.0 - tol) - def draw_pdf_contours(ax, alphas, nlevels=200, subdiv=8, **kwargs): + def draw_pdf_contours(ax, dist, alphas, nlevels=200, subdiv=8): refiner = tri.UniformTriRefiner(triangle) trimesh = refiner.refine_triangulation(subdiv=subdiv) - pvals = [Dirichlet(alphas).pdf(xy2bc(xy)) for xy in zip(trimesh.x, trimesh.y)] + pvals = [dist.pdf(xy2bc(xy)) for xy in zip(trimesh.x, trimesh.y)] - ax.tricontourf(trimesh, pvals, nlevels, cmap='jet', **kwargs) + contour = ax.tricontourf(trimesh, pvals, nlevels, cmap='plasma') ax.axis('equal') ax.set_xlim(0, 1) - ax.set_ylim(0, 0.75 ** 0.5) - ax.axis('off') - ax.text(0.5, -0.1, f"α = {alphas}", ha='center', transform=ax.transAxes) + ax.set_ylim(0, np.sqrt(0.75)) + ax.axis('on') + # ax.set_xlabel('Component 2') + # ax.set_ylabel('Component 3') + ax.set_title(f"α = {alphas}", fontsize=10) + + return contour inputs = [ [1.5, 1.5, 1.5], @@ -50,14 +52,18 @@ def draw_pdf_contours(ax, alphas, nlevels=200, subdiv=8, **kwargs): [2.0, 4.0, 8.0] ] - fig, axes = plt.subplots(2, 2, figsize=(10, 8)) + fig, axes = plt.subplots(2, 2, figsize=(12, 10)) + contours = [] for ax, alphas in zip(axes.flatten(), inputs): - draw_pdf_contours(ax, alphas) + contour = draw_pdf_contours(ax, Dirichlet(alphas), alphas) + contours.append(contour) - plt.suptitle("Dirichlet distribution", fontsize=12) + # Adding the main title and colorbar + plt.suptitle('Dirichlet Distribution', fontsize=16) + cbar = fig.colorbar(contours[0], ax=axes.ravel().tolist(), orientation='horizontal', pad=0.75) + cbar.set_label('Probability Density') + cbar.ax.xaxis.set_major_locator(ticker.MaxNLocator(nbins=5)) # Set number of ticks on colorbar - # Save the figure - plt.tight_layout() - plt.subplots_adjust(top=0.9) + plt.subplots_adjust(top=0.90, bottom=0.25) # Adjust the subplots to fit the title and colorbar plt.savefig(f"{directory}/dirichlet.{extension}") plt.close() diff --git a/src/distributions/exponential.py b/src/distributions/exponential.py index f0ee454..c0b845e 100644 --- a/src/distributions/exponential.py +++ b/src/distributions/exponential.py @@ -23,6 +23,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/exponential.{extension}") plt.close() diff --git a/src/distributions/exponential_exp1.py b/src/distributions/exponential_exp1.py index cdcf061..fc28c38 100644 --- a/src/distributions/exponential_exp1.py +++ b/src/distributions/exponential_exp1.py @@ -22,6 +22,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/exponential_exp1.{extension}") plt.close() diff --git a/src/distributions/fisher_f.py b/src/distributions/fisher_f.py index 10f6329..8fc0061 100644 --- a/src/distributions/fisher_f.py +++ b/src/distributions/fisher_f.py @@ -28,6 +28,8 @@ def y(x, dfn, dfd): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/fisher_f.{extension}") plt.close() diff --git a/src/distributions/frechet.py b/src/distributions/frechet.py index 59bb223..9ddf024 100644 --- a/src/distributions/frechet.py +++ b/src/distributions/frechet.py @@ -25,6 +25,8 @@ def y(x, shape, loc, scale): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/frechet.{extension}") plt.close() diff --git a/src/distributions/gamma.py b/src/distributions/gamma.py index e9a2b79..21077d5 100644 --- a/src/distributions/gamma.py +++ b/src/distributions/gamma.py @@ -24,6 +24,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/gamma.{extension}") plt.close() diff --git a/src/distributions/geometric.py b/src/distributions/geometric.py index 355bb3c..3d4d1f5 100644 --- a/src/distributions/geometric.py +++ b/src/distributions/geometric.py @@ -25,6 +25,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/geometric.{extension}") plt.close() diff --git a/src/distributions/gumbel.py b/src/distributions/gumbel.py index 97bba82..50d60cc 100644 --- a/src/distributions/gumbel.py +++ b/src/distributions/gumbel.py @@ -22,6 +22,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/gumbel.{extension}") plt.close() diff --git a/src/distributions/hypergeometric.py b/src/distributions/hypergeometric.py index c5143a1..ee26e1c 100644 --- a/src/distributions/hypergeometric.py +++ b/src/distributions/hypergeometric.py @@ -24,6 +24,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/hypergeometric.{extension}") plt.close() diff --git a/src/distributions/inverse_gaussian.py b/src/distributions/inverse_gaussian.py index 578a387..e54ee36 100644 --- a/src/distributions/inverse_gaussian.py +++ b/src/distributions/inverse_gaussian.py @@ -23,6 +23,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/inverse_gaussian.{extension}") plt.close() diff --git a/src/distributions/log_normal.py b/src/distributions/log_normal.py index dbe12e1..8293af5 100644 --- a/src/distributions/log_normal.py +++ b/src/distributions/log_normal.py @@ -22,6 +22,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/log_normal.{extension}") plt.close() diff --git a/src/distributions/normal.py b/src/distributions/normal.py index c87d888..0c93734 100644 --- a/src/distributions/normal.py +++ b/src/distributions/normal.py @@ -22,6 +22,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/normal.{extension}") plt.close() diff --git a/src/distributions/normal_inverse_gaussian.py b/src/distributions/normal_inverse_gaussian.py index 209faec..74a8f29 100644 --- a/src/distributions/normal_inverse_gaussian.py +++ b/src/distributions/normal_inverse_gaussian.py @@ -22,6 +22,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/normal_inverse_gaussian.{extension}") plt.close() diff --git a/src/distributions/pareto.py b/src/distributions/pareto.py index 254c38c..f48eeec 100644 --- a/src/distributions/pareto.py +++ b/src/distributions/pareto.py @@ -22,6 +22,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/pareto.{extension}") plt.close() diff --git a/src/distributions/pert.py b/src/distributions/pert.py index 585fabd..1e15da2 100644 --- a/src/distributions/pert.py +++ b/src/distributions/pert.py @@ -30,6 +30,8 @@ def y(x, min_value, mode, max_value, shape): box = ax.get_position() ax.set_position([box.x0, box.y0, box.width * 0.6, box.height]) ax.legend(loc='upper left', bbox_to_anchor=(1, 0.6)) + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/pert.{extension}") plt.close() diff --git a/src/distributions/poisson.py b/src/distributions/poisson.py index c92a4a3..e17da8a 100644 --- a/src/distributions/poisson.py +++ b/src/distributions/poisson.py @@ -24,6 +24,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/poisson.{extension}") plt.close() diff --git a/src/distributions/skew_normal.py b/src/distributions/skew_normal.py index 2294cda..6c22296 100644 --- a/src/distributions/skew_normal.py +++ b/src/distributions/skew_normal.py @@ -22,6 +22,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/skew_normal.{extension}") plt.close() diff --git a/src/distributions/standard_geometric.py b/src/distributions/standard_geometric.py index d58628d..1d18cbb 100644 --- a/src/distributions/standard_geometric.py +++ b/src/distributions/standard_geometric.py @@ -21,6 +21,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/standard_geometric.{extension}") plt.close() diff --git a/src/distributions/standard_normal.py b/src/distributions/standard_normal.py index 978c737..98317d1 100644 --- a/src/distributions/standard_normal.py +++ b/src/distributions/standard_normal.py @@ -20,6 +20,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/standard_normal.{extension}") plt.close() diff --git a/src/distributions/student_t.py b/src/distributions/student_t.py index aacff7d..2fe7797 100644 --- a/src/distributions/student_t.py +++ b/src/distributions/student_t.py @@ -23,6 +23,8 @@ def save_to(directory: str, extension: str): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/student_t.{extension}") plt.close() diff --git a/src/distributions/triangular.py b/src/distributions/triangular.py index 47c4730..50118c8 100644 --- a/src/distributions/triangular.py +++ b/src/distributions/triangular.py @@ -26,6 +26,8 @@ def y(a, b, c, x): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/triangular.{extension}") plt.close() diff --git a/src/distributions/unit_ball.py b/src/distributions/unit_ball.py index 1059426..f0c906e 100644 --- a/src/distributions/unit_ball.py +++ b/src/distributions/unit_ball.py @@ -41,6 +41,7 @@ def plot_sphere(radius=1, num_divisions=50): ax.set_ylabel('Y') ax.set_zlabel('Z') ax.set_title('Unit Ball (solid)') + ax.margins(x=0, y=0) # Save the figure plt.savefig(f"{directory}/unit_ball.{extension}") diff --git a/src/distributions/unit_circle.py b/src/distributions/unit_circle.py index 589e421..0ea963b 100644 --- a/src/distributions/unit_circle.py +++ b/src/distributions/unit_circle.py @@ -30,6 +30,8 @@ def plot_circle(radius=1, num_divisions=100): ax.set_xlabel('X') ax.set_ylabel('Y') ax.set_title('Unit Circle') + ax.grid() + ax.margins(x=0, y=0) plt.tight_layout() diff --git a/src/distributions/unit_disc.py b/src/distributions/unit_disc.py index 58ed3a4..ced447c 100644 --- a/src/distributions/unit_disc.py +++ b/src/distributions/unit_disc.py @@ -30,6 +30,8 @@ def plot_circle(radius=1, num_divisions=100): ax.set_xlabel('X') ax.set_ylabel('Y') ax.set_title('Unit Disc') + ax.grid() + ax.margins(x=0, y=0) plt.tight_layout() diff --git a/src/distributions/unit_sphere.py b/src/distributions/unit_sphere.py index 9e8c64e..7d8c8da 100644 --- a/src/distributions/unit_sphere.py +++ b/src/distributions/unit_sphere.py @@ -39,6 +39,7 @@ def plot_sphere(radius=1, num_divisions=50): ax.set_ylabel('Y') ax.set_zlabel('Z') ax.set_title('Unit Sphere (shell)') + ax.margins(x=0, y=0) # Save the figure plt.savefig(f"{directory}/unit_sphere.{extension}") diff --git a/src/distributions/weibull.py b/src/distributions/weibull.py index cf8b4ba..f082ae8 100644 --- a/src/distributions/weibull.py +++ b/src/distributions/weibull.py @@ -27,6 +27,8 @@ def y(x, scale, shape): # Adding a legend ax.legend() + ax.grid() + ax.margins(x=0, y=0) plt.savefig(f"{directory}/weibull.{extension}") plt.close() diff --git a/src/distributions/zeta.py b/src/distributions/zeta.py index 9f59951..bb0143e 100644 --- a/src/distributions/zeta.py +++ b/src/distributions/zeta.py @@ -20,6 +20,8 @@ def save_to(directory: str, extension: str): ax.set_ylabel('Probability') ax.set_xticks(outcomes) # Adjusting x-ticks to center ax.legend() + ax.grid() + ax.margins(x=0, y=0) # Save the plot to a file plt.savefig(f"{directory}/zeta.{extension}") diff --git a/src/distributions/zipf.py b/src/distributions/zipf.py index 4d7c0e0..b1108c2 100644 --- a/src/distributions/zipf.py +++ b/src/distributions/zipf.py @@ -20,6 +20,8 @@ def save_to(directory: str, extension: str): ax.set_ylabel('Probability') ax.set_xticks(outcomes) # Adjusting x-ticks to center ax.legend() + ax.grid() + ax.margins(x=0, y=0) # Save the plot to a file plt.savefig(f"{directory}/zipf.{extension}") From f83637b02fa6087f744d3c8c009e0b49d3d0eb04 Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Fri, 3 May 2024 20:28:39 +0200 Subject: [PATCH 15/18] Tweak margins/padding --- charts/beta.svg | 74 +- charts/binomial.svg | 248 +- charts/cauchy.svg | 730 +- charts/chi_squared.svg | 566 +- charts/exponential.svg | 70 +- charts/exponential_exp1.svg | 54 +- charts/fisher_f.svg | 792 +- charts/frechet.svg | 923 +- charts/gamma.svg | 76 +- charts/geometric.svg | 372 +- charts/gumbel.svg | 688 +- charts/hypergeometric.svg | 469 +- charts/inverse_gaussian.svg | 662 +- charts/log_normal.svg | 738 +- charts/normal.svg | 775 +- charts/normal_inverse_gaussian.svg | 1027 +- charts/pareto.svg | 385 +- charts/pert.svg | 709 +- charts/poisson.svg | 450 +- charts/skew_normal.svg | 901 +- charts/standard_geometric.svg | 162 +- charts/standard_normal.svg | 318 +- charts/student_t.svg | 1258 +- charts/triangular.svg | 197 +- charts/unit_ball.svg | 28912 ++++++++--------- charts/unit_circle.svg | 422 +- charts/unit_disc.svg | 422 +- charts/unit_sphere.svg | 10300 +++--- charts/weibull.svg | 750 +- charts/zeta.svg | 515 +- charts/zipf.svg | 368 +- src/distributions/binomial.py | 2 + src/distributions/cauchy.py | 2 + src/distributions/chi_squared.py | 2 +- src/distributions/dirichlet.py | 2 - src/distributions/fisher_f.py | 2 +- src/distributions/frechet.py | 2 + src/distributions/geometric.py | 4 +- src/distributions/gumbel.py | 2 + src/distributions/hypergeometric.py | 4 +- src/distributions/inverse_gaussian.py | 2 + src/distributions/log_normal.py | 2 + src/distributions/normal.py | 2 + src/distributions/normal_inverse_gaussian.py | 2 + src/distributions/pareto.py | 2 + src/distributions/pert.py | 2 + src/distributions/poisson.py | 2 + src/distributions/skew_normal.py | 2 + src/distributions/standard_geometric.py | 2 + src/distributions/standard_normal.py | 2 + src/distributions/student_t.py | 2 + src/distributions/triangular.py | 2 + src/distributions/unit_ball.py | 2 + src/distributions/unit_circle.py | 2 + src/distributions/unit_disc.py | 2 + src/distributions/unit_sphere.py | 2 + src/distributions/weibull.py | 2 + src/distributions/zeta.py | 6 +- src/distributions/zipf.py | 4 +- 59 files changed, 27314 insertions(+), 27085 deletions(-) diff --git a/charts/beta.svg b/charts/beta.svg index 00ffc64..f8559fc 100644 --- a/charts/beta.svg +++ b/charts/beta.svg @@ -6,7 +6,7 @@ - 2024-05-02T16:42:47.837705 + 2024-05-03T20:16:35.845906 image/svg+xml @@ -42,16 +42,16 @@ z +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - - + @@ -97,11 +97,11 @@ z +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -143,11 +143,11 @@ z +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -184,11 +184,11 @@ z +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -236,11 +236,11 @@ z +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -297,11 +297,11 @@ z +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -358,16 +358,16 @@ z +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - - + @@ -383,11 +383,11 @@ L -3.5 0 +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -430,11 +430,11 @@ z +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -450,11 +450,11 @@ L 414.72 240.831362 +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -470,11 +470,11 @@ L 414.72 207.455044 +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -490,11 +490,11 @@ L 414.72 174.078725 +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -510,11 +510,11 @@ L 414.72 140.702406 +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -564,11 +564,11 @@ z +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -972,7 +972,7 @@ L 410.787748 103.969252 L 411.502703 82.70692 L 412.217658 52.854531 L 412.217658 52.854531 -" clip-path="url(#p1aed24c9e7)" style="fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square"/> +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square"/> +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square"/> +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square"/> +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #d62728; stroke-width: 1.5; stroke-linecap: square"/> +" clip-path="url(#p22ec13d94a)" style="fill: none; stroke: #9467bd; stroke-width: 1.5; stroke-linecap: square"/> + diff --git a/charts/binomial.svg b/charts/binomial.svg index be03303..d634adb 100644 --- a/charts/binomial.svg +++ b/charts/binomial.svg @@ -6,7 +6,7 @@ - 2024-05-02T16:42:48.064674 + 2024-05-03T20:15:42.594140 image/svg+xml @@ -40,194 +40,194 @@ z +" clip-path="url(#pc5b7548890)" style="fill: #1f77b4"/> +" clip-path="url(#pc5b7548890)" style="fill: #1f77b4"/> +" clip-path="url(#pc5b7548890)" style="fill: #1f77b4"/> +" clip-path="url(#pc5b7548890)" style="fill: #1f77b4"/> +" clip-path="url(#pc5b7548890)" style="fill: #1f77b4"/> +" clip-path="url(#pc5b7548890)" style="fill: #1f77b4"/> +" clip-path="url(#pc5b7548890)" style="fill: #1f77b4"/> +" clip-path="url(#pc5b7548890)" style="fill: #1f77b4"/> +" clip-path="url(#pc5b7548890)" style="fill: #1f77b4"/> +" clip-path="url(#pc5b7548890)" style="fill: #1f77b4"/> +" clip-path="url(#pc5b7548890)" style="fill: #1f77b4"/> +" clip-path="url(#pc5b7548890)" style="fill: #ff7f0e"/> +" clip-path="url(#pc5b7548890)" style="fill: #ff7f0e"/> +" clip-path="url(#pc5b7548890)" style="fill: #ff7f0e"/> +" clip-path="url(#pc5b7548890)" style="fill: #ff7f0e"/> +" clip-path="url(#pc5b7548890)" style="fill: #ff7f0e"/> +" clip-path="url(#pc5b7548890)" style="fill: #ff7f0e"/> +" clip-path="url(#pc5b7548890)" style="fill: #ff7f0e"/> +" clip-path="url(#pc5b7548890)" style="fill: #ff7f0e"/> +" clip-path="url(#pc5b7548890)" style="fill: #ff7f0e"/> +" clip-path="url(#pc5b7548890)" style="fill: #ff7f0e"/> +" clip-path="url(#pc5b7548890)" style="fill: #ff7f0e"/> +" clip-path="url(#pc5b7548890)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - - + @@ -264,11 +264,11 @@ z +" clip-path="url(#pc5b7548890)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -298,11 +298,11 @@ z +" clip-path="url(#pc5b7548890)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -342,11 +342,11 @@ z +" clip-path="url(#pc5b7548890)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -394,11 +394,11 @@ z +" clip-path="url(#pc5b7548890)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -433,11 +433,11 @@ z +" clip-path="url(#pc5b7548890)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -478,11 +478,11 @@ z +" clip-path="url(#pc5b7548890)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -528,11 +528,11 @@ z +" clip-path="url(#pc5b7548890)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -558,11 +558,11 @@ z +" clip-path="url(#pc5b7548890)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -617,11 +617,11 @@ z +" clip-path="url(#pc5b7548890)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -667,11 +667,11 @@ z +" clip-path="url(#pc5b7548890)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -992,16 +992,16 @@ z +" clip-path="url(#pc5b7548890)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - - + @@ -1025,18 +1025,18 @@ z - + - + - + @@ -1046,18 +1046,18 @@ L 414.72 263.524247 - + - + - + @@ -1067,18 +1067,18 @@ L 414.72 219.464493 - + - + - + @@ -1088,18 +1088,18 @@ L 414.72 175.40474 - + - + - + @@ -1109,18 +1109,18 @@ L 414.72 131.344986 - + - + - + @@ -1130,18 +1130,18 @@ L 414.72 87.285233 - + - + - + @@ -1510,7 +1510,7 @@ z - + diff --git a/charts/cauchy.svg b/charts/cauchy.svg index 2c31c1d..3b4fcf9 100644 --- a/charts/cauchy.svg +++ b/charts/cauchy.svg @@ -6,7 +6,7 @@ - 2024-05-02T16:42:48.235377 + 2024-05-03T20:15:42.754339 image/svg+xml @@ -42,16 +42,16 @@ z +" clip-path="url(#p16dadb12a8)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - - + @@ -105,11 +105,11 @@ z +" clip-path="url(#p16dadb12a8)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -145,11 +145,11 @@ z +" clip-path="url(#p16dadb12a8)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -190,11 +190,11 @@ z +" clip-path="url(#p16dadb12a8)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -231,11 +231,11 @@ z +" clip-path="url(#p16dadb12a8)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -249,11 +249,11 @@ L 287.177143 41.472 +" clip-path="url(#p16dadb12a8)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - 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stroke-linecap: square"/> - + @@ -132,11 +132,11 @@ z +" clip-path="url(#p0731d42eb8)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -171,11 +171,11 @@ z +" clip-path="url(#p0731d42eb8)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -221,11 +221,11 @@ z +" clip-path="url(#p0731d42eb8)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -280,11 +280,11 @@ z +" clip-path="url(#p0731d42eb8)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -628,16 +628,16 @@ z +" clip-path="url(#p0731d42eb8)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - - + @@ -660,18 +660,18 @@ z - + - + - + @@ -680,18 +680,18 @@ L 414.72 254.017076 - + - + - + @@ -700,18 +700,18 @@ L 414.72 200.450152 - + - + - + @@ -720,25 +720,45 @@ L 414.72 146.883228 - + - + - + - + + + + + + + + + + + + + + + + + + + @@ -876,237 +896,235 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clip-path="url(#p9db3577e27)" style="fill: #1f77b4"/> +" clip-path="url(#p9db3577e27)" style="fill: #1f77b4"/> +" clip-path="url(#p9db3577e27)" style="fill: #1f77b4"/> +" clip-path="url(#p9db3577e27)" style="fill: #1f77b4"/> +" clip-path="url(#p9db3577e27)" style="fill: #1f77b4"/> +" clip-path="url(#p9db3577e27)" style="fill: #1f77b4"/> +" clip-path="url(#p9db3577e27)" style="fill: #1f77b4"/> +" clip-path="url(#p9db3577e27)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - - + @@ -161,11 +161,11 @@ z +" clip-path="url(#p9db3577e27)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -205,11 +205,11 @@ z +" clip-path="url(#p9db3577e27)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -257,11 +257,11 @@ z +" clip-path="url(#p9db3577e27)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -296,11 +296,11 @@ z +" clip-path="url(#p9db3577e27)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -341,11 +341,11 @@ z +" clip-path="url(#p9db3577e27)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -391,11 +391,11 @@ z +" clip-path="url(#p9db3577e27)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -421,11 +421,11 @@ z +" clip-path="url(#p9db3577e27)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -480,11 +480,11 @@ z +" clip-path="url(#p9db3577e27)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -530,11 +530,11 @@ z +" clip-path="url(#p9db3577e27)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -938,16 +938,16 @@ z +" clip-path="url(#p9db3577e27)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - - + @@ -970,18 +970,18 @@ z - + - + - + @@ -990,18 +990,18 @@ L 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0.8; stroke-linecap: square"/> - + @@ -198,11 +198,11 @@ L 307.584 41.472 +" clip-path="url(#pa36bc20cf5)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + @@ -239,23 +239,23 @@ z - + - - + - + - + - + - + - + - + - + @@ -357,18 +357,18 @@ L 414.72 207.526786 - + - + - + @@ -378,18 +378,18 @@ L 414.72 174.174051 - + - + - + @@ -399,18 +399,18 @@ L 414.72 140.821316 - + - + - + - + - + - + @@ -473,7 +473,28 @@ L 414.72 74.115845 - + + + + + + + + + + + + + + + + + + + + @@ -778,105 +799,104 @@ z - + +" clip-path="url(#pa36bc20cf5)" style="fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square"/> - + @@ -1030,13 +1050,13 @@ Q 312.466875 64.150125 314.466875 64.150125 z " style="fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter"/> - + - + @@ -1132,7 +1152,7 @@ z - + diff --git a/charts/student_t.svg b/charts/student_t.svg index 1998e7f..b20a27e 100644 --- a/charts/student_t.svg +++ b/charts/student_t.svg @@ -6,7 +6,7 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ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/cauchy.{extension}") plt.close() diff --git a/src/distributions/chi_squared.py b/src/distributions/chi_squared.py index e46ab00..667e48b 100644 --- a/src/distributions/chi_squared.py +++ b/src/distributions/chi_squared.py @@ -6,7 +6,7 @@ def save_to(directory: str, extension: str): def y(x, df): y = chi2.pdf(x, df) - y[y > 1.0] = np.nan + y[y > 1.05] = np.nan return y # Degrees of freedom for the distribution df_values = [1, 2, 3, 5, 9] diff --git a/src/distributions/dirichlet.py b/src/distributions/dirichlet.py index 761a6fb..f701865 100644 --- a/src/distributions/dirichlet.py +++ b/src/distributions/dirichlet.py @@ -39,8 +39,6 @@ def draw_pdf_contours(ax, dist, alphas, nlevels=200, subdiv=8): ax.set_xlim(0, 1) ax.set_ylim(0, np.sqrt(0.75)) ax.axis('on') - # ax.set_xlabel('Component 2') - # ax.set_ylabel('Component 3') ax.set_title(f"α = {alphas}", fontsize=10) return contour diff --git a/src/distributions/fisher_f.py b/src/distributions/fisher_f.py index 8fc0061..01be603 100644 --- a/src/distributions/fisher_f.py +++ b/src/distributions/fisher_f.py @@ -6,7 +6,7 @@ def save_to(directory: str, extension: str): def y(x, dfn, dfd): y = f.pdf(x, dfn, dfd) - y[y > 2.1] = np.nan + y[y > 2.3] = np.nan return y # Degrees of freedom for the distribution diff --git a/src/distributions/frechet.py b/src/distributions/frechet.py index 9ddf024..c57afb4 100644 --- a/src/distributions/frechet.py +++ b/src/distributions/frechet.py @@ -27,6 +27,8 @@ def y(x, shape, loc, scale): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/frechet.{extension}") plt.close() diff --git a/src/distributions/geometric.py b/src/distributions/geometric.py index 3d4d1f5..57fed29 100644 --- a/src/distributions/geometric.py +++ b/src/distributions/geometric.py @@ -15,7 +15,7 @@ def save_to(directory: str, extension: str): # Plotting the PMF for each value of p for i, p in enumerate(p_values): - ax.bar(outcomes + i * width - width / 2, geom.pmf(outcomes, p), width=width, label=f'p = {p}') + ax.bar(outcomes + i * width - width, geom.pmf(outcomes, p), width=width, label=f'p = {p}') # Adding title and labels ax.set_title('Geometric distribution') @@ -27,6 +27,8 @@ def save_to(directory: str, extension: str): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/geometric.{extension}") plt.close() diff --git a/src/distributions/gumbel.py b/src/distributions/gumbel.py index 50d60cc..ee30690 100644 --- a/src/distributions/gumbel.py +++ b/src/distributions/gumbel.py @@ -24,6 +24,8 @@ def save_to(directory: str, extension: str): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/gumbel.{extension}") plt.close() diff --git a/src/distributions/hypergeometric.py b/src/distributions/hypergeometric.py index ee26e1c..70b18ae 100644 --- a/src/distributions/hypergeometric.py +++ b/src/distributions/hypergeometric.py @@ -6,7 +6,7 @@ def save_to(directory: str, extension: str): inputs = [(50, 12, 10), (50, 35, 10)] # Possible outcomes for a Hypergeometric distributed variable - outcomes = np.arange(0, 10) + outcomes = np.arange(0, 11) width = 0.5 # Creating the figure and the axis @@ -26,6 +26,8 @@ def save_to(directory: str, extension: str): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/hypergeometric.{extension}") plt.close() diff --git a/src/distributions/inverse_gaussian.py b/src/distributions/inverse_gaussian.py index e54ee36..10a94fa 100644 --- a/src/distributions/inverse_gaussian.py +++ b/src/distributions/inverse_gaussian.py @@ -25,6 +25,8 @@ def save_to(directory: str, extension: str): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/inverse_gaussian.{extension}") plt.close() diff --git a/src/distributions/log_normal.py b/src/distributions/log_normal.py index 8293af5..9418606 100644 --- a/src/distributions/log_normal.py +++ b/src/distributions/log_normal.py @@ -24,6 +24,8 @@ def save_to(directory: str, extension: str): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/log_normal.{extension}") plt.close() diff --git a/src/distributions/normal.py b/src/distributions/normal.py index 0c93734..03d7257 100644 --- a/src/distributions/normal.py +++ b/src/distributions/normal.py @@ -24,6 +24,8 @@ def save_to(directory: str, extension: str): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/normal.{extension}") plt.close() diff --git a/src/distributions/normal_inverse_gaussian.py b/src/distributions/normal_inverse_gaussian.py index 74a8f29..c4cfb86 100644 --- a/src/distributions/normal_inverse_gaussian.py +++ b/src/distributions/normal_inverse_gaussian.py @@ -24,6 +24,8 @@ def save_to(directory: str, extension: str): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/normal_inverse_gaussian.{extension}") plt.close() diff --git a/src/distributions/pareto.py b/src/distributions/pareto.py index f48eeec..999ced4 100644 --- a/src/distributions/pareto.py +++ b/src/distributions/pareto.py @@ -24,6 +24,8 @@ def save_to(directory: str, extension: str): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/pareto.{extension}") plt.close() diff --git a/src/distributions/pert.py b/src/distributions/pert.py index 1e15da2..7ac3795 100644 --- a/src/distributions/pert.py +++ b/src/distributions/pert.py @@ -32,6 +32,8 @@ def y(x, min_value, mode, max_value, shape): ax.legend(loc='upper left', bbox_to_anchor=(1, 0.6)) ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/pert.{extension}") plt.close() diff --git a/src/distributions/poisson.py b/src/distributions/poisson.py index e17da8a..93ae942 100644 --- a/src/distributions/poisson.py +++ b/src/distributions/poisson.py @@ -26,6 +26,8 @@ def save_to(directory: str, extension: str): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/poisson.{extension}") plt.close() diff --git a/src/distributions/skew_normal.py b/src/distributions/skew_normal.py index 6c22296..b021694 100644 --- a/src/distributions/skew_normal.py +++ b/src/distributions/skew_normal.py @@ -24,6 +24,8 @@ def save_to(directory: str, extension: str): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/skew_normal.{extension}") plt.close() diff --git a/src/distributions/standard_geometric.py b/src/distributions/standard_geometric.py index 1d18cbb..de796db 100644 --- a/src/distributions/standard_geometric.py +++ b/src/distributions/standard_geometric.py @@ -23,6 +23,8 @@ def save_to(directory: str, extension: str): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/standard_geometric.{extension}") plt.close() diff --git a/src/distributions/standard_normal.py b/src/distributions/standard_normal.py index 98317d1..5af1a65 100644 --- a/src/distributions/standard_normal.py +++ b/src/distributions/standard_normal.py @@ -22,6 +22,8 @@ def save_to(directory: str, extension: str): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/standard_normal.{extension}") plt.close() diff --git a/src/distributions/student_t.py b/src/distributions/student_t.py index 2fe7797..217b844 100644 --- a/src/distributions/student_t.py +++ b/src/distributions/student_t.py @@ -25,6 +25,8 @@ def save_to(directory: str, extension: str): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/student_t.{extension}") plt.close() diff --git a/src/distributions/triangular.py b/src/distributions/triangular.py index 50118c8..ac92d80 100644 --- a/src/distributions/triangular.py +++ b/src/distributions/triangular.py @@ -28,6 +28,8 @@ def y(a, b, c, x): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/triangular.{extension}") plt.close() diff --git a/src/distributions/unit_ball.py b/src/distributions/unit_ball.py index f0c906e..a084da4 100644 --- a/src/distributions/unit_ball.py +++ b/src/distributions/unit_ball.py @@ -42,6 +42,8 @@ def plot_sphere(radius=1, num_divisions=50): ax.set_zlabel('Z') ax.set_title('Unit Ball (solid)') ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) # Save the figure plt.savefig(f"{directory}/unit_ball.{extension}") diff --git a/src/distributions/unit_circle.py b/src/distributions/unit_circle.py index 0ea963b..16a3e6e 100644 --- a/src/distributions/unit_circle.py +++ b/src/distributions/unit_circle.py @@ -32,6 +32,8 @@ def plot_circle(radius=1, num_divisions=100): ax.set_title('Unit Circle') ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.tight_layout() diff --git a/src/distributions/unit_disc.py b/src/distributions/unit_disc.py index ced447c..26e2f4c 100644 --- a/src/distributions/unit_disc.py +++ b/src/distributions/unit_disc.py @@ -32,6 +32,8 @@ def plot_circle(radius=1, num_divisions=100): ax.set_title('Unit Disc') ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.tight_layout() diff --git a/src/distributions/unit_sphere.py b/src/distributions/unit_sphere.py index 7d8c8da..dff3cbe 100644 --- a/src/distributions/unit_sphere.py +++ b/src/distributions/unit_sphere.py @@ -40,6 +40,8 @@ def plot_sphere(radius=1, num_divisions=50): ax.set_zlabel('Z') ax.set_title('Unit Sphere (shell)') ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) # Save the figure plt.savefig(f"{directory}/unit_sphere.{extension}") diff --git a/src/distributions/weibull.py b/src/distributions/weibull.py index f082ae8..5622eb4 100644 --- a/src/distributions/weibull.py +++ b/src/distributions/weibull.py @@ -29,6 +29,8 @@ def y(x, scale, shape): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) plt.savefig(f"{directory}/weibull.{extension}") plt.close() diff --git a/src/distributions/zeta.py b/src/distributions/zeta.py index bb0143e..5fcc027 100644 --- a/src/distributions/zeta.py +++ b/src/distributions/zeta.py @@ -13,15 +13,17 @@ def save_to(directory: str, extension: str): # Plotting the Zipf Distribution for each value of s for i, s in enumerate(inputs): - ax.bar(outcomes + i * width - width / 2, zipf.pmf(outcomes, s), width=width, label=f's = {s}') + ax.bar(outcomes + i * width - width * 3 / 2, zipf.pmf(outcomes, s), width=width, label=f's = {s}') - ax.set_title('Zipf Distribution') + ax.set_title('Zeta Distribution') ax.set_xlabel('Outcome') ax.set_ylabel('Probability') ax.set_xticks(outcomes) # Adjusting x-ticks to center ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) # Save the plot to a file plt.savefig(f"{directory}/zeta.{extension}") diff --git a/src/distributions/zipf.py b/src/distributions/zipf.py index b1108c2..ddeb7c4 100644 --- a/src/distributions/zipf.py +++ b/src/distributions/zipf.py @@ -13,7 +13,7 @@ def save_to(directory: str, extension: str): # Plotting the Zipf Distribution for each value of s for i, (s, n) in enumerate(inputs): - ax.bar(outcomes + i * width - width / 2, zipfian.pmf(outcomes, s, n), width=width, label=f's = {s}, n = {n}') + ax.bar(outcomes + i * width - width, zipfian.pmf(outcomes, s, n), width=width, label=f's = {s}, n = {n}') ax.set_title('Zipf Distribution') ax.set_xlabel('Outcome') @@ -22,6 +22,8 @@ def save_to(directory: str, extension: str): ax.legend() ax.grid() ax.margins(x=0, y=0) + ymin, ymax = ax.get_ylim() + ax.set_ylim(ymin, ymax * 1.05) # Save the plot to a file plt.savefig(f"{directory}/zipf.{extension}") From 905e5065232d27ab295770afcdef49299057281d Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Fri, 3 May 2024 22:24:33 +0200 Subject: [PATCH 16/18] Constrain PERT to -1, 1 --- charts/pert.svg | 1074 ++++++++++++++++++++----------------- src/distributions/pert.py | 2 +- 2 files changed, 583 insertions(+), 493 deletions(-) diff --git a/charts/pert.svg b/charts/pert.svg index ae96ad9..2483cbb 100644 --- a/charts/pert.svg +++ b/charts/pert.svg @@ -6,7 +6,7 @@ - 2024-05-03T20:15:45.554920 + 2024-05-03T22:23:15.121614 image/svg+xml @@ -42,21 +42,21 @@ z +" clip-path="url(#p31e3119566)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - - + - - + + + + + + + + + + + + + + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - - - - - - - + - + + - + - + - - + + + - + - + - - - - - + + + + + + + + + + - + - + - - + + - + + - + - + - - - + + + - + + - + - + - - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + - + @@ -290,22 +376,22 @@ z - + +" clip-path="url(#p31e3119566)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> - + - - + - + @@ -315,45 +401,19 @@ L -3.5 0 - - + + - + - + - + - - - - + @@ -361,19 +421,19 @@ z - - + + - + - + - + - + - - + + - + - + - + - + - - + + - + - + - + - + - - + + - + - + - + - + @@ -535,26 +595,26 @@ L 424.8 105.845684 - - + + - + - + - + - + - + @@ -859,332 +919,362 @@ z - + +" clip-path="url(#p31e3119566)" style="fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square"/> - + +" clip-path="url(#p31e3119566)" style="fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square"/> - + +" clip-path="url(#p31e3119566)" style="fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square"/> - + +" clip-path="url(#p31e3119566)" style="fill: none; stroke: #d62728; stroke-width: 1.5; stroke-linecap: square"/> - + @@ -1339,13 +1429,13 @@ Q 429.8 220.7925 431.8 220.7925 z " style="fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter"/> - + - + @@ -1494,13 +1584,13 @@ z - + - + @@ -1543,13 +1633,13 @@ L 453.8 181.856562 - + - + @@ -1592,13 +1682,13 @@ L 453.8 196.534687 - + - + @@ -1647,7 +1737,7 @@ L 453.8 211.212812 - + diff --git a/src/distributions/pert.py b/src/distributions/pert.py index 7ac3795..f50439a 100644 --- a/src/distributions/pert.py +++ b/src/distributions/pert.py @@ -11,7 +11,7 @@ def y(x, min_value, mode, max_value, shape): inputs = [(-1, 0, 1, 4), (-1, 0, 1, 1), (-1, 0, 1, 8), (-1, 0.5, 1, 4)] # Adjusting the range of x values to be more meaningful for the PERT distribution - x = np.linspace(-1.5, 1.5, 1000) # max_value in inputs is 2, hence 3 is a reasonable upper bound + x = np.linspace(-1, 1, 1000) # max_value in inputs is 2, hence 3 is a reasonable upper bound # Creating the figure and the axis fig, ax = plt.subplots(figsize=(10, 5)) From cf6183e9bfb8e4ce684da43c436a0b5f9f64198f Mon Sep 17 00:00:00 2001 From: Michael Dyer Date: Fri, 24 May 2024 13:10:34 +0200 Subject: [PATCH 17/18] Rewrite Dirichlet for better axes --- charts/dirichlet.png | Bin 154403 -> 215034 bytes charts/pert.svg | 130 ++++++++++++++++----------------- requirements.txt | 3 +- src/distributions/dirichlet.py | 43 ++++++----- src/distributions/pert.py | 2 +- 5 files changed, 94 insertions(+), 84 deletions(-) diff --git a/charts/dirichlet.png b/charts/dirichlet.png index 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