{ "cells": [ { "cell_type": "markdown", "id": "a4d8be0c", "metadata": {}, "source": [ "Took code from Week 1.8 Project and axle data. helper and solution file are included here, but I did not clean out the unnecessary code. bivariate plotting function included here but other aspects (marginal, copula) are still included in `helper.py`. `solution.py` is not needed, but the model definition code uses a dictionary that is set up there. \n", "\n", "Not sure why the figure in this notebook is not rendered with transparent background, but the svg is transparent, so i ignored it.\n", "\n", "`pyvinecopulib` was added to virtual env using pip without any issue. not included in requirements file to avoid build issues on the server." ] }, { "cell_type": "code", "execution_count": 1, "id": "7eeb37e0-aca0-4759-866f-f5ad09ea8d0b", "metadata": { "tags": [] }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy.stats as st\n", "\n", "from helper import plot_contour\n", "from helper import Bivariate\n", "from solution import *\n", "\n", "from matplotlib import rcParams\n", "rcParams.update({'font.size': 16})\n", "# TUDelft colors palette\n", "colors = [\"#0C2340\",\"#00B8C8\",\"#0076C2\",\"#6F1D77\",\"#EF60A3\",\"#A50034\",\"#E03C31\",\"#EC6842\",\"#FFB81C\",\"#6CC24A\",\"#009B77\"]" ] }, { "cell_type": "code", "execution_count": 2, "id": "2152bd99-12cb-44a2-afee-7b36fb4b4780", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Length of the dataset: 992\n", "Mean and standard deviation: (38.216, 10.020).\n", "Mean and standard deviation: (55.941, 18.914).\n" ] } ], "source": [ "X1 = univariate_RV_dict(\"Heaviest axle\", \"$AX_{max}$\", \"kN\")\n", "X2 = univariate_RV_dict(\"Lightest Axle\", \"$AX_{min}$\", \"kN\")\n", "X1[\"data\"], X2[\"data\"] = np.genfromtxt('./data_axle.csv',\n", " delimiter=\",\", unpack = True)\n", "\n", "print(f'Length of the dataset: {X1[\"data\"].size}')\n", "print(f'Mean and standard deviation:',\n", " f'({X1[\"data\"].mean():.3f}, {X1[\"data\"].std():.3f}).')\n", "print(f'Mean and standard deviation:',\n", " f'({X2[\"data\"].mean():.3f}, {X2[\"data\"].std():.3f}).')" ] }, { "cell_type": "code", "execution_count": 3, "id": "2ccfbc68-6705-4adf-83f8-9ebff6c1015d", "metadata": { "tags": [] }, "outputs": [], "source": [ "dist_parameters = st.lognorm.fit(X1[\"data\"], floc = 0)\n", "dist_object = st.lognorm(*dist_parameters)\n", "X1[\"LN\"] = univariate_model_dict(\"Lognormal\",\n", " dist_parameters, dist_object)\n", "\n", "dist_parameters = st.gumbel_r.fit(X1[\"data\"])\n", "dist_object = st.gumbel_r(*dist_parameters)\n", "X1[\"Gum\"] = univariate_model_dict(\"Gumbel (right)\",\n", " dist_parameters, dist_object)\n", "\n", "dist_parameters = st.lognorm.fit(X2[\"data\"], floc = 0)\n", "dist_object = st.lognorm(*dist_parameters)\n", "X2[\"LN\"] = univariate_model_dict(\"Lognormal\",\n", " dist_parameters, dist_object)\n", "\n", "dist_parameters = st.gumbel_r.fit(X2[\"data\"])\n", "dist_object = st.gumbel_r(*dist_parameters)\n", "X2[\"Gum\"] = univariate_model_dict(\"Gumbel (right)\",\n", " dist_parameters, dist_object)" ] }, { "cell_type": "code", "execution_count": 4, "id": "8f6a77dd-71c1-49e0-9e30-28269efc6d98", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# -----------------------------------------------------------------\n", "plot_title = \"\"\n", "font = \"Arial\"\n", "x_label = \"Random Variable $X_1$\"\n", "y_label = \"Random Variable $X_2$\"\n", "legend = False\n", "grid = False\n", "save_svg = True\n", "remove_ticks = False\n", "remove_ticks_labels = True\n", "file_name = \"../book/figures/cover_bi\"\n", "# -----------------------------------------------------------------\n", "\n", "M2 = bivariate_model_dict(\"Model 2\", \"Gum\", X1, \"Gum\", X2, 0.54)\n", "\n", "M = M2\n", "\n", "rvs_temp = M[\"X1X2\"].rvs(1000).T\n", "\n", "import matplotlib.cm as cm\n", "def plot_contour(bivar, xy_lim, data=None,\n", " design_case=None, design_region=None,\n", " nb_points=100):\n", " \n", " f = plt.figure(figsize=(6,6))\n", " ax = f.add_subplot() # axes_class=AxesZero)\n", " plt.setp(ax.spines.values(), linewidth=2)\n", "\n", " xlim = [xy_lim[0], xy_lim[1]]\n", " ylim = [xy_lim[2], xy_lim[3]]\n", "\n", " x = np.linspace(xlim[0], xlim[1], nb_points)\n", " y = np.linspace(ylim[0], ylim[1], nb_points)\n", " X,Y = np.meshgrid(x,y)\n", " pdf = np.zeros(X.shape)\n", " for i in range(X.shape[0]):\n", " for j in range(X.shape[1]):\n", " # if X[i,j]>0 and Y[i,j]>0:\n", " pdf[i,j] = bivar.pdf([X[i,j], Y[i,j]])\n", " \n", " ax.contour(X, Y, pdf, levels=8, cmap=cm.winter)\n", " \n", " if isinstance(data, np.ndarray):\n", " ax.scatter(data[0,:], data[1,:], s=10.0,\n", " facecolors='none', edgecolors='dimgray',\n", " label='Data')\n", " \n", " if isinstance(design_region, np.ndarray):\n", " ax.plot(design_region[0,:], design_region[1,:],\n", " label='Design Boundary', color='k')\n", " ax.fill_between(design_region[0,:], design_region[1,:],\n", " ylim[1], label='Design Region', color='grey')\n", " \n", " if design_case:\n", " ax.plot(design_case[0], design_case[1], 'ro',\n", " label='Design Case')\n", " \n", " ax.set_aspect(\"equal\")\n", " ax.set_xlim(xlim)\n", " ax.set_ylim(ylim)\n", " # ax.set_xlabel(r\"$X_1$\", fontsize=14)\n", " # ax.set_ylabel(r\"$X_2$\", fontsize=14)\n", " if isinstance(design_region, np.ndarray) or design_case:\n", " ax.legend()\n", " return f, ax \n", "\n", "fig, ax = plot_contour(M[\"X1X2\"], [0, 150, 0, 150],\n", " data=rvs_temp, nb_points=100)\n", "\n", "ax.set_xlabel(x_label, fontfamily=font)\n", "ax.set_ylabel(y_label, fontfamily=font)\n", "\n", "fig.patch.set_alpha(0.)\n", "ax.patch.set_alpha(0.)\n", "\n", "if grid: ax.grid()\n", "if legend: ax.legend(prop={\"family\":font})\n", "if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n", "if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n", "if save_svg: plt.savefig(file_name + '.svg', bbox_inches=0, transparent=True)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# -----------------------------------------------------------------\n", "plot_title = \"\"\n", "font = \"Arial\"\n", "x_label = \"Consequences\"\n", "y_label = \"Probability\"\n", "legend = False\n", "grid = False\n", "save_svg = True\n", "remove_ticks = True\n", "remove_ticks_labels = True\n", "file_name = \"../book/figures/cover_fn\"\n", "# -----------------------------------------------------------------\n", "\n", "fig2 = plt.figure(figsize=(6,6))\n", "ax2 = fig2.add_subplot() # axes_class=AxesZero)\n", "ax2.set_title(plot_title, fontfamily=font)\n", "\n", "\n", "plt.setp(ax2.spines.values(), linewidth=2)\n", "\n", "right = 500\n", "top = .5e-5\n", "\n", "u = np.array([1, 2, 5, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 120, 150, 180, 200, 220, 250, 275, 300, 350, 400, 450, 475])\n", "v = 1e-8 + top*(np.log(right) - np.log(u))**3/np.log(right)\n", "\n", "\n", "C = 10**-3\n", "alpha = 1\n", "\n", "limit_line_N = np.array([1, 1000])\n", "limit_line_P = C/limit_line_N**alpha\n", "\n", "# Visualize\n", "\n", "# plotting\n", "# ax2.plot(limit_line_N, limit_line_P, '--', label='Limit Line', color=colors[0], linewidth=4)\n", "ax2.plot(u, v, label='Risk Curve', color=colors[1], linewidth=4)\n", "ax2.plot(limit_line_N, limit_line_P, '--', label='Limit Line', color=colors[0], linewidth=4)\n", "\n", "ax2.set_xscale('log')\n", "ax2.set_yscale('log')\n", "\n", "ax2.set_xlim(1, 1000)\n", "ax2.set_ylim(10**(-7),.001)\n", "# ax2.set_yticks([10**(-7),10**(-5),10**(-3),10**(-1)])\n", "\n", "ax2.tick_params(axis='x', labelsize=13, width=2, length=8)\n", "ax2.tick_params(axis='y', labelsize=13, width=2, length=8)\n", "\n", "ax2.set_xlabel(x_label, fontfamily=font)\n", "ax2.set_ylabel(y_label, fontfamily=font)\n", "\n", "fig2.patch.set_alpha(0.)\n", "ax2.patch.set_alpha(0.)\n", "\n", "if grid: ax2.grid()\n", "if legend: ax2.legend(prop={\"family\":font})\n", "if remove_ticks: ax2.set_xticks([]); ax2.set_yticks([])\n", "if remove_ticks_labels: ax2.set_xticklabels([]); ax2.set_yticklabels([])\n", "if save_svg: plt.savefig(file_name + '.svg', bbox_inches=0, transparent=True)" ] }, { "cell_type": "code", "execution_count": 6, "id": "2ea36977", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# combine ax and ax2 in one figure and overlay them offset to each other\n", "fig3 = plt.figure(figsize=(6,6))\n", "ax_bi = fig3.add_subplot() # axes_class=AxesZero)\n", "\n", "# add \n" ] } ], "metadata": { "colab": { "collapsed_sections": [], "provenance": [] }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.7" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }