{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", " \"Open\n", "\n", "\n", "# Complex Mixture of Distributions\n", "\n", "This notebook demonstrates using fastKDE on a complex mixture of distributions. This remakes Figure 4 of O'Brien et al. (2016)\n", "\n", "O’Brien, T. A., Kashinath, K., Cavanaugh, N. R., Collins, W. D. & O’Brien, J. P. *A fast and objective multidimensional kernel density estimation method: fastKDE.* Comput. Stat. Data Anal. 101, 148–160 (2016). [http://dx.doi.org/10.1016/j.csda.2016.02.014](http://dx.doi.org/10.1016/j.csda.2016.02.014)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "\"\"\" Install libraries if needed. \"\"\"\n", "try:\n", " import fastkde\n", " import xarray\n", "except:\n", " # install fastkde\n", " !pip install --upgrade fastkde\n", " import fastkde" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "\"\"\" Import libraries. \"\"\"\n", "import pylab as PP\n", "import matplotlib as mpl\n", "import fastkde\n", "from fastkde.convergence_tests import testMixtureModel\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "\"\"\" Sample from the Berkeley Lab logo mixture distribution. \"\"\"\n", "test_mix = testMixtureModel()\n", "mix_samples1 = test_mix.sampleFromDistribution(int(1e6))\n", "mix_samples2 = test_mix.sampleFromDistribution(int(1e4))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "\"\"\" Calculate the PDFs. \"\"\"\n", "pdf1 = fastkde.pdf(\n", " mix_samples1[0, :], mix_samples1[1, :], var_names=[\"x\", \"y\"], num_points=513\n", ")\n", "pdf2 = fastkde.pdf(\n", " mix_samples2[0, :], mix_samples2[1, :], var_names=[\"x\", \"y\"], num_points=513\n", ")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "\"\"\" Calculate the values of the true PDF. \"\"\"\n", "mixPDStandard = test_mix.pdfStandard([pdf1.x, pdf1.y])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\"\"\" Create the figure. \"\"\"\n", "# Initialize a figure with 3 subplots in a row\n", "fig, axs = PP.subplots(1, 3, figsize=(9, 2.5))\n", "\n", "# Set x/y limits\n", "xlim = [-39, 39]\n", "ylim = [-39, 39]\n", "\n", "# Draw the standard PDF contours\n", "topPlot = axs[0].contourf(pdf1.x, pdf1.y, mixPDStandard, 64)\n", "\n", "# Draw the KDE contours\n", "axs[1].contourf(pdf1.x, pdf1.y, pdf1, levels=topPlot.levels)\n", "axs[2].contourf(pdf2.x, pdf2.y, pdf2, levels=topPlot.levels)\n", "\n", "# Set x/y limits and labels\n", "for i in range(3):\n", " axs[i].set_xlim(xlim)\n", " axs[i].set_ylim(ylim)\n", " axs[i].set_xlabel(\"$x$\")\n", "axs[0].set_ylabel(\"$y$\")\n", "\n", "# Turn off y-ticks for the last 2 plots\n", "for i in (1, 2):\n", " axs[i].axes.get_yaxis().set_ticks([])\n", "\n", "# add titles\n", "axs[0].set_title(\"True PDF\")\n", "axs[1].set_title(f\"fastkde, N={int(1e6):,}\")\n", "axs[2].set_title(f\"fastkde, N={int(1e4):,}\")\n", "\n", "PP.tight_layout()\n", "PP.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.12.0" } }, "nbformat": 4, "nbformat_minor": 1 }