{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Metrics Examples\n", "\n", "**Note: this is a legacy notebook, written for `qp` version < 1, and may not be 100% accurate for `qp` version >= 1. It is kept available for reference.**" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import qp\n", "import qp.metrics\n", "\n", "\"\"\"\n", "When producing random variates from distributions contained in an Ensemble object\n", "rvs_size specifies the number of variates to produce, and random_state ensures\n", "reproducibility for this notebook.\n", "\"\"\"\n", "rvs_size = 100\n", "random_state = 42" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following line produces an Ensemble object that contains 11 normal distributions. The mean and sigma are different for each." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "number_of_distributions = 3\n", "\n", "locs_1 = 2* (np.random.uniform(size=(number_of_distributions,1)))\n", "scales_1 = 1 + 0.2*(np.random.uniform(size=(number_of_distributions,1)))\n", "ens_r_1 = qp.Ensemble(qp.stats.rayleigh, data=dict(loc=locs_1, scale=scales_1))\n", "\n", "locs_2 = 2* (np.random.uniform(size=(number_of_distributions,1)))\n", "scales_2 = 1 + 0.2*(np.random.uniform(size=(number_of_distributions,1)))\n", "ens_r_2 = qp.Ensemble(qp.stats.rayleigh, data=dict(loc=locs_2, scale=scales_2))" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Calculate the Kolmogorov-Smirnov statistic between each pair of distributions in two Ensembles. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "output = qp.metrics.calculate_goodness_of_fit(\n", " ens_r_1,\n", " ens_r_2,\n", " fit_metric='ks', # 'ks' = Kolmogorov-Smirnov. 'ad' for Anderson-Darling and 'cvm' for Cramer-von Mises are also available.\n", " num_samples=rvs_size,\n", " _random_state=random_state\n", " )" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Plot the PDFs along with the resulting Kolmogorov-Smirnov statistics" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/jscora/software/anaconda3/envs/qp/lib/python3.12/site-packages/scipy/stats/_continuous_distns.py:8778: RuntimeWarning: invalid value encountered in log\n", " return np.log(r) - 0.5 * r * r\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax0, ax1, ax2) = plt.subplots(3, 1, sharex=True)\n", "ax0.set_xlim([0,8])\n", "\n", "ax0.text(0.95, 0.5, f'KS stat = {output[0]}', verticalalignment='bottom', horizontalalignment='right', transform=ax0.transAxes)\n", "_ = qp.plotting.plot_native(ens_r_1[0], axes=ax0, color='black')\n", "_ = qp.plotting.plot_native(ens_r_2[0], axes=ax0, color='black', linestyle='dashed')\n", "\n", "ax1.text(0.95, 0.5, f'KS stat = {output[1]}', verticalalignment='bottom', horizontalalignment='right', transform=ax1.transAxes)\n", "_ = qp.plotting.plot_native(ens_r_1[1], axes=ax1, color='black')\n", "_ = qp.plotting.plot_native(ens_r_2[1], axes=ax1, color='black', linestyle='dashed')\n", "\n", "ax2.text(0.95, 0.5, f'KS stat = {output[2]}', verticalalignment='bottom', horizontalalignment='right', transform=ax2.transAxes)\n", "_ = qp.plotting.plot_native(ens_r_1[2], axes=ax2, color='black')\n", "_ = qp.plotting.plot_native(ens_r_2[2], axes=ax2, color='black', linestyle='dashed')\n", "\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Similarly Anderson-Darling and Cramer-von Mises statistics can be calculated." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "ad_output = qp.metrics.calculate_goodness_of_fit(\n", " ens_r_1,\n", " ens_r_2,\n", " fit_metric='ad', # 'ad' = Anderson-Darling\n", " num_samples=rvs_size,\n", " _random_state=random_state\n", " )\n", "\n", "cvm_output = qp.metrics.calculate_goodness_of_fit(\n", " ens_r_1,\n", " ens_r_2,\n", " fit_metric='cvm', # 'cvm' = Cramer-von Mises\n", " num_samples=rvs_size,\n", " _random_state=random_state\n", " )" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax0, ax1, ax2) = plt.subplots(3, 1, sharex=True)\n", "ax0.set_xlim([0,8])\n", "\n", "ax0.text(0.95, 0.65, f'AD stat = {ad_output[0]}', verticalalignment='bottom', horizontalalignment='right', transform=ax0.transAxes)\n", "ax0.text(0.95, 0.5, f'CvM stat = {cvm_output[0]}', verticalalignment='bottom', horizontalalignment='right', transform=ax0.transAxes)\n", "_ = qp.plotting.plot_native(ens_r_1[0], axes=ax0, color='black')\n", "_ = qp.plotting.plot_native(ens_r_2[0], axes=ax0, color='black', linestyle='dashed')\n", "\n", "ax1.text(0.95, 0.65, f'AD stat = {ad_output[1]}', verticalalignment='bottom', horizontalalignment='right', transform=ax1.transAxes)\n", "ax1.text(0.95, 0.5, f'CvM stat = {cvm_output[1]}', verticalalignment='bottom', horizontalalignment='right', transform=ax1.transAxes)\n", "_ = qp.plotting.plot_native(ens_r_1[1], axes=ax1, color='black')\n", "_ = qp.plotting.plot_native(ens_r_2[1], axes=ax1, color='black', linestyle='dashed')\n", "\n", "ax2.text(0.95, 0.65, f'AD stat = {ad_output[2]}', verticalalignment='bottom', horizontalalignment='right', transform=ax2.transAxes)\n", "ax2.text(0.95, 0.5, f'CvM stat = {cvm_output[2]}', verticalalignment='bottom', horizontalalignment='right', transform=ax2.transAxes)\n", "_ = qp.plotting.plot_native(ens_r_1[2], axes=ax2, color='black')\n", "_ = qp.plotting.plot_native(ens_r_2[2], axes=ax2, color='black', linestyle='dashed')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "In addition to Ensemble vs.0 Ensemble pair-wise calculations, we can compare an Ensemble containing N distributions against an Ensemble containing 1 distribution. We'll create an Ensemble containing a single distribution, and then calculate the various statistics." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of distributions in ens_r_2: 1\n" ] } ], "source": [ "locs = 2* (np.random.uniform(size=(1,1)))\n", "scales = 1 + 0.2*(np.random.uniform(size=(1,1)))\n", "ens_r_single = qp.Ensemble(qp.stats.rayleigh, data=dict(loc=locs, scale=scales))\n", "\n", "print(\"Number of distributions in ens_r_2: \" + str(ens_r_single.npdf))" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Note that when comparing Ensemble(N) vs. Ensemble(1), the Ensemble containing 1 distribution should be the second argument passed to the function." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "ad_output_vs_1 = qp.metrics.calculate_goodness_of_fit(\n", " ens_r_1,\n", " ens_r_single,\n", " fit_metric='ad',\n", " num_samples=rvs_size,\n", " _random_state=random_state\n", " )\n", "\n", "cvm_output_vs_1 = qp.metrics.calculate_goodness_of_fit(\n", " ens_r_1,\n", " ens_r_single,\n", " fit_metric='cvm',\n", " num_samples=rvs_size,\n", " _random_state=random_state\n", " )\n", "\n", "ks_output_vs_1 = qp.metrics.calculate_goodness_of_fit(\n", " ens_r_1,\n", " ens_r_single,\n", " fit_metric='ks',\n", " num_samples=rvs_size,\n", " _random_state=random_state\n", " )" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax0, ax1, ax2) = plt.subplots(3, 1, sharex=True)\n", "ax0.set_xlim([0,8])\n", "\n", "ax0.text(0.95, 0.5, f'AD stat = {ad_output_vs_1[0]}', verticalalignment='bottom', horizontalalignment='right', transform=ax0.transAxes)\n", "ax0.text(0.95, 0.65, f'CvM stat = {cvm_output_vs_1[0]}', verticalalignment='bottom', horizontalalignment='right', transform=ax0.transAxes)\n", "ax0.text(0.95, 0.8, f'KS stat = {ks_output_vs_1[0]}', verticalalignment='bottom', horizontalalignment='right', transform=ax0.transAxes)\n", "_ = qp.plotting.plot_native(ens_r_1[0], axes=ax0, color='black', linestyle='dashed')\n", "_ = qp.plotting.plot_native(ens_r_single, axes=ax0, color='black')\n", "\n", "ax1.text(0.95, 0.5, f'AD stat = {ad_output_vs_1[1]}', verticalalignment='bottom', horizontalalignment='right', transform=ax1.transAxes)\n", "ax1.text(0.95, 0.65, f'CvM stat = {cvm_output_vs_1[1]}', verticalalignment='bottom', horizontalalignment='right', transform=ax1.transAxes)\n", "ax1.text(0.95, 0.8, f'KS stat = {ks_output_vs_1[1]}', verticalalignment='bottom', horizontalalignment='right', transform=ax1.transAxes)\n", "_ = qp.plotting.plot_native(ens_r_1[1], axes=ax1, color='black', linestyle='dashed')\n", "_ = qp.plotting.plot_native(ens_r_single, axes=ax1, color='black')\n", "\n", "ax2.text(0.95, 0.5, f'AD stat = {ad_output_vs_1[2]}', verticalalignment='bottom', horizontalalignment='right', transform=ax2.transAxes)\n", "ax2.text(0.95, 0.65, f'CvM stat = {cvm_output_vs_1[2]}', verticalalignment='bottom', horizontalalignment='right', transform=ax2.transAxes)\n", "ax2.text(0.95, 0.8, f'KS stat = {ks_output_vs_1[2]}', verticalalignment='bottom', horizontalalignment='right', transform=ax2.transAxes)\n", "_ = qp.plotting.plot_native(ens_r_1[2], axes=ax2, color='black', linestyle='dashed')\n", "_ = qp.plotting.plot_native(ens_r_single, axes=ax2, color='black')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Note that because we are sampling from distributions in one Ensemble, the calculation is not symmetric." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "output_1_then_2 = qp.metrics.calculate_goodness_of_fit(\n", " ens_r_1,\n", " ens_r_2,\n", " fit_metric='ad',\n", " num_samples=rvs_size,\n", " _random_state=random_state\n", " )\n", "\n", "\n", "# Here, the order of the input variables has changed from ens_r_1, ens_r_2 to ens_r_2, ens_r_1\n", "output_2_then_1 = qp.metrics.calculate_goodness_of_fit(\n", " ens_r_2,\n", " ens_r_1,\n", " fit_metric='ad',\n", " num_samples=rvs_size,\n", " _random_state=random_state\n", " )" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "If the calculation were symmetric, we would expect the difference between the two outputs to be approximately [0,0,0]." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-54.4934426 0.15982954 1.59046484]\n" ] } ], "source": [ "print(output_1_then_2 - output_2_then_1)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "This also implies that, because we sample from the distributions, the number of random variates requested will affect the output. \n", "Below we compare distributions of a single Ensemble pair-wise against themselves. As we increase the value for `num_samples` the resulting Kolmogorov-Smirnov value trends toward 0." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "output_1 = qp.metrics.calculate_goodness_of_fit(\n", " ens_r_1,\n", " ens_r_1,\n", " fit_metric='ks',\n", " num_samples=1,\n", " _random_state=random_state\n", " )\n", "\n", "output_10 = qp.metrics.calculate_goodness_of_fit(\n", " ens_r_1,\n", " ens_r_1,\n", " fit_metric='ks',\n", " num_samples=10,\n", " _random_state=random_state\n", " )\n", "\n", "output_100 = qp.metrics.calculate_goodness_of_fit(\n", " ens_r_1,\n", " ens_r_1,\n", " fit_metric='ks',\n", " num_samples=100,\n", " _random_state=random_state\n", " )\n", "\n", "output_1000 = qp.metrics.calculate_goodness_of_fit(\n", " ens_r_1,\n", " ens_r_1,\n", " fit_metric='ks',\n", " num_samples=1_000,\n", " _random_state=random_state\n", " )\n", "\n", "output_10000 = qp.metrics.calculate_goodness_of_fit(\n", " ens_r_1,\n", " ens_r_1,\n", " fit_metric='ks',\n", " num_samples=10_000,\n", " _random_state=random_state\n", " )\n", "\n", "output_100000 = qp.metrics.calculate_goodness_of_fit(\n", " ens_r_1,\n", " ens_r_1,\n", " fit_metric='ks',\n", " num_samples=100_000,\n", " _random_state=random_state\n", " )" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = ['1', '2', '3']\n", "fig, ax = plt.subplots()\n", "x = np.arange(len(labels))\n", "width = 0.5/6\n", "ax.bar(x + width*0, output_1, width, label='1 Sample')\n", "ax.bar(x + width*1, output_10, width, label='10 Samples')\n", "ax.bar(x + width*2, output_100, width, label='100 Samples')\n", "ax.bar(x + width*3, output_1000, width, label='1000 Sample')\n", "ax.bar(x + width*4, output_10000, width, label='10000 Sample')\n", "ax.bar(x + width*5, output_100000, width, label='100000 Samples')\n", "\n", "fig.tight_layout()\n", "ax.set_title('Pair-wise Comparison of Identical Distributions for Increasing Number of Samples')\n", "ax.set_xticks(x, labels)\n", "ax.set_xlabel('Example distribution in Ensemble')\n", "ax.set_ylabel('Kolmogorov-Smirnov Statistic')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "qp", "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": "3.12.7" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }