{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Kernel Density Estimation\n", "\n", "Kernel density estimation is the process of estimating an unknown probability density function using a *kernel function* $K(u)$. While a histogram counts the number of data points in somewhat arbitrary regions, a kernel density estimate is a function defined as the sum of a kernel function on every data point. The kernel function typically exhibits the following properties:\n", "\n", "1. Symmetry such that $K(u) = K(-u)$.\n", "2. Normalization such that $\\int_{-\\infty}^{\\infty} K(u) \\ du = 1$ .\n", "3. Monotonically decreasing such that $K'(u) < 0$ when $u > 0$.\n", "4. Expected value equal to zero such that $\\mathrm{E}[K] = 0$.\n", "\n", "For more information about kernel density estimation, see for instance [Wikipedia - Kernel density estimation](https://en.wikipedia.org/wiki/Kernel_density_estimation).\n", "\n", "A univariate kernel density estimator is implemented in `sm.nonparametric.KDEUnivariate`.\n", "In this example we will show the following:\n", "\n", "* Basic usage, how to fit the estimator.\n", "* The effect of varying the bandwidth of the kernel using the `bw` argument.\n", "* The various kernel functions available using the `kernel` argument." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:22.792438Z", "iopub.status.busy": "2022-11-02T17:11:22.789566Z", "iopub.status.idle": "2022-11-02T17:11:24.198130Z", "shell.execute_reply": "2022-11-02T17:11:24.197404Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "from scipy import stats\n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt\n", "from statsmodels.distributions.mixture_rvs import mixture_rvs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A univariate example" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:24.203933Z", "iopub.status.busy": "2022-11-02T17:11:24.202634Z", "iopub.status.idle": "2022-11-02T17:11:24.208570Z", "shell.execute_reply": "2022-11-02T17:11:24.208010Z" } }, "outputs": [], "source": [ "np.random.seed(12345) # Seed the random number generator for reproducible results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We create a bimodal distribution: a mixture of two normal distributions with locations at `-1` and `1`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:24.213983Z", "iopub.status.busy": "2022-11-02T17:11:24.212413Z", "iopub.status.idle": "2022-11-02T17:11:24.222060Z", "shell.execute_reply": "2022-11-02T17:11:24.221499Z" } }, "outputs": [], "source": [ "# Location, scale and weight for the two distributions\n", "dist1_loc, dist1_scale, weight1 = -1, 0.5, 0.25\n", "dist2_loc, dist2_scale, weight2 = 1, 0.5, 0.75\n", "\n", "# Sample from a mixture of distributions\n", "obs_dist = mixture_rvs(\n", " prob=[weight1, weight2],\n", " size=250,\n", " dist=[stats.norm, stats.norm],\n", " kwargs=(\n", " dict(loc=dist1_loc, scale=dist1_scale),\n", " dict(loc=dist2_loc, scale=dist2_scale),\n", " ),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simplest non-parametric technique for density estimation is the histogram." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:24.226546Z", "iopub.status.busy": "2022-11-02T17:11:24.225433Z", "iopub.status.idle": "2022-11-02T17:11:24.479687Z", "shell.execute_reply": "2022-11-02T17:11:24.478976Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "\n", "# Scatter plot of data samples and histogram\n", "ax.scatter(\n", " obs_dist,\n", " np.abs(np.random.randn(obs_dist.size)),\n", " zorder=15,\n", " color=\"red\",\n", " marker=\"x\",\n", " alpha=0.5,\n", " label=\"Samples\",\n", ")\n", "lines = ax.hist(obs_dist, bins=20, edgecolor=\"k\", label=\"Histogram\")\n", "\n", "ax.legend(loc=\"best\")\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fitting with the default arguments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The histogram above is discontinuous. To compute a continuous probability density function,\n", "we can use kernel density estimation.\n", "\n", "We initialize a univariate kernel density estimator using `KDEUnivariate`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:24.485535Z", "iopub.status.busy": "2022-11-02T17:11:24.484383Z", "iopub.status.idle": "2022-11-02T17:11:24.501668Z", "shell.execute_reply": "2022-11-02T17:11:24.501029Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kde = sm.nonparametric.KDEUnivariate(obs_dist)\n", "kde.fit() # Estimate the densities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We present a figure of the fit, as well as the true distribution." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:24.505436Z", "iopub.status.busy": "2022-11-02T17:11:24.505191Z", "iopub.status.idle": "2022-11-02T17:11:24.791756Z", "shell.execute_reply": "2022-11-02T17:11:24.791087Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "\n", "# Plot the histrogram\n", "ax.hist(\n", " obs_dist,\n", " bins=20,\n", " density=True,\n", " label=\"Histogram from samples\",\n", " zorder=5,\n", " edgecolor=\"k\",\n", " alpha=0.5,\n", ")\n", "\n", "# Plot the KDE as fitted using the default arguments\n", "ax.plot(kde.support, kde.density, lw=3, label=\"KDE from samples\", zorder=10)\n", "\n", "# Plot the true distribution\n", "true_values = (\n", " stats.norm.pdf(loc=dist1_loc, scale=dist1_scale, x=kde.support) * weight1\n", " + stats.norm.pdf(loc=dist2_loc, scale=dist2_scale, x=kde.support) * weight2\n", ")\n", "ax.plot(kde.support, true_values, lw=3, label=\"True distribution\", zorder=15)\n", "\n", "# Plot the samples\n", "ax.scatter(\n", " obs_dist,\n", " np.abs(np.random.randn(obs_dist.size)) / 40,\n", " marker=\"x\",\n", " color=\"red\",\n", " zorder=20,\n", " label=\"Samples\",\n", " alpha=0.5,\n", ")\n", "\n", "ax.legend(loc=\"best\")\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the code above, default arguments were used. We can also vary the bandwidth of the kernel, as we will now see." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Varying the bandwidth using the `bw` argument" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The bandwidth of the kernel can be adjusted using the `bw` argument.\n", "In the following example, a bandwidth of `bw=0.2` seems to fit the data well." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:24.795790Z", "iopub.status.busy": "2022-11-02T17:11:24.795532Z", "iopub.status.idle": "2022-11-02T17:11:25.191612Z", "shell.execute_reply": "2022-11-02T17:11:25.190784Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "\n", "# Plot the histrogram\n", "ax.hist(\n", " obs_dist,\n", " bins=25,\n", " label=\"Histogram from samples\",\n", " zorder=5,\n", " edgecolor=\"k\",\n", " density=True,\n", " alpha=0.5,\n", ")\n", "\n", "# Plot the KDE for various bandwidths\n", "for bandwidth in [0.1, 0.2, 0.4]:\n", " kde.fit(bw=bandwidth) # Estimate the densities\n", " ax.plot(\n", " kde.support,\n", " kde.density,\n", " \"--\",\n", " lw=2,\n", " color=\"k\",\n", " zorder=10,\n", " label=\"KDE from samples, bw = {}\".format(round(bandwidth, 2)),\n", " )\n", "\n", "# Plot the true distribution\n", "ax.plot(kde.support, true_values, lw=3, label=\"True distribution\", zorder=15)\n", "\n", "# Plot the samples\n", "ax.scatter(\n", " obs_dist,\n", " np.abs(np.random.randn(obs_dist.size)) / 50,\n", " marker=\"x\",\n", " color=\"red\",\n", " zorder=20,\n", " label=\"Data samples\",\n", " alpha=0.5,\n", ")\n", "\n", "ax.legend(loc=\"best\")\n", "ax.set_xlim([-3, 3])\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparing kernel functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the example above, a Gaussian kernel was used. Several other kernels are also available." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:25.196319Z", "iopub.status.busy": "2022-11-02T17:11:25.196030Z", "iopub.status.idle": "2022-11-02T17:11:25.202941Z", "shell.execute_reply": "2022-11-02T17:11:25.202223Z" } }, "outputs": [ { "data": { "text/plain": [ "['gau', 'epa', 'uni', 'tri', 'biw', 'triw', 'cos', 'cos2', 'tric']" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from statsmodels.nonparametric.kde import kernel_switch\n", "\n", "list(kernel_switch.keys())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The available kernel functions" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:25.206789Z", "iopub.status.busy": "2022-11-02T17:11:25.206547Z", "iopub.status.idle": "2022-11-02T17:11:26.390926Z", "shell.execute_reply": "2022-11-02T17:11:26.389995Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a figure\n", "fig = plt.figure(figsize=(12, 5))\n", "\n", "# Enumerate every option for the kernel\n", "for i, (ker_name, ker_class) in enumerate(kernel_switch.items()):\n", "\n", " # Initialize the kernel object\n", " kernel = ker_class()\n", "\n", " # Sample from the domain\n", " domain = kernel.domain or [-3, 3]\n", " x_vals = np.linspace(*domain, num=2 ** 10)\n", " y_vals = kernel(x_vals)\n", "\n", " # Create a subplot, set the title\n", " ax = fig.add_subplot(3, 3, i + 1)\n", " ax.set_title('Kernel function \"{}\"'.format(ker_name))\n", " ax.plot(x_vals, y_vals, lw=3, label=\"{}\".format(ker_name))\n", " ax.scatter([0], [0], marker=\"x\", color=\"red\")\n", " plt.grid(True, zorder=-5)\n", " ax.set_xlim(domain)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The available kernel functions on three data points" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now examine how the kernel density estimate will fit to three equally spaced data points." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:26.395529Z", "iopub.status.busy": "2022-11-02T17:11:26.395257Z", "iopub.status.idle": "2022-11-02T17:11:27.739943Z", "shell.execute_reply": "2022-11-02T17:11:27.739240Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create three equidistant points\n", "data = np.linspace(-1, 1, 3)\n", "kde = sm.nonparametric.KDEUnivariate(data)\n", "\n", "# Create a figure\n", "fig = plt.figure(figsize=(12, 5))\n", "\n", "# Enumerate every option for the kernel\n", "for i, kernel in enumerate(kernel_switch.keys()):\n", "\n", " # Create a subplot, set the title\n", " ax = fig.add_subplot(3, 3, i + 1)\n", " ax.set_title('Kernel function \"{}\"'.format(kernel))\n", "\n", " # Fit the model (estimate densities)\n", " kde.fit(kernel=kernel, fft=False, gridsize=2 ** 10)\n", "\n", " # Create the plot\n", " ax.plot(kde.support, kde.density, lw=3, label=\"KDE from samples\", zorder=10)\n", " ax.scatter(data, np.zeros_like(data), marker=\"x\", color=\"red\")\n", " plt.grid(True, zorder=-5)\n", " ax.set_xlim([-3, 3])\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A more difficult case\n", "\n", "The fit is not always perfect. See the example below for a harder case." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:27.743602Z", "iopub.status.busy": "2022-11-02T17:11:27.743224Z", "iopub.status.idle": "2022-11-02T17:11:27.748320Z", "shell.execute_reply": "2022-11-02T17:11:27.747567Z" } }, "outputs": [], "source": [ "obs_dist = mixture_rvs(\n", " [0.25, 0.75],\n", " size=250,\n", " dist=[stats.norm, stats.beta],\n", " kwargs=(dict(loc=-1, scale=0.5), dict(loc=1, scale=1, args=(1, 0.5))),\n", ")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:27.751509Z", "iopub.status.busy": "2022-11-02T17:11:27.751105Z", "iopub.status.idle": "2022-11-02T17:11:27.761666Z", "shell.execute_reply": "2022-11-02T17:11:27.760887Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kde = sm.nonparametric.KDEUnivariate(obs_dist)\n", "kde.fit()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:27.764747Z", "iopub.status.busy": "2022-11-02T17:11:27.764353Z", "iopub.status.idle": "2022-11-02T17:11:27.996744Z", "shell.execute_reply": "2022-11-02T17:11:27.996122Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "ax.hist(obs_dist, bins=20, density=True, edgecolor=\"k\", zorder=4, alpha=0.5)\n", "ax.plot(kde.support, kde.density, lw=3, zorder=7)\n", "# Plot the samples\n", "ax.scatter(\n", " obs_dist,\n", " np.abs(np.random.randn(obs_dist.size)) / 50,\n", " marker=\"x\",\n", " color=\"red\",\n", " zorder=20,\n", " label=\"Data samples\",\n", " alpha=0.5,\n", ")\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The KDE is a distribution\n", "\n", "Since the KDE is a distribution, we can access attributes and methods such as:\n", "\n", "- `entropy`\n", "- `evaluate`\n", "- `cdf`\n", "- `icdf`\n", "- `sf`\n", "- `cumhazard`" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:28.003172Z", "iopub.status.busy": "2022-11-02T17:11:28.002647Z", "iopub.status.idle": "2022-11-02T17:11:28.011946Z", "shell.execute_reply": "2022-11-02T17:11:28.011395Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "obs_dist = mixture_rvs(\n", " [0.25, 0.75],\n", " size=1000,\n", " dist=[stats.norm, stats.norm],\n", " kwargs=(dict(loc=-1, scale=0.5), dict(loc=1, scale=0.5)),\n", ")\n", "kde = sm.nonparametric.KDEUnivariate(obs_dist)\n", "kde.fit(gridsize=2 ** 10)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:28.016417Z", "iopub.status.busy": "2022-11-02T17:11:28.015302Z", "iopub.status.idle": "2022-11-02T17:11:28.035168Z", "shell.execute_reply": "2022-11-02T17:11:28.034624Z" } }, "outputs": [ { "data": { "text/plain": [ "1.314324140492138" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kde.entropy" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:28.039569Z", "iopub.status.busy": "2022-11-02T17:11:28.038468Z", "iopub.status.idle": "2022-11-02T17:11:28.045207Z", "shell.execute_reply": "2022-11-02T17:11:28.044673Z" } }, "outputs": [ { "data": { "text/plain": [ "array([0.18085886])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kde.evaluate(-1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cumulative distribution, it's inverse, and the survival function" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:28.049681Z", "iopub.status.busy": "2022-11-02T17:11:28.048586Z", "iopub.status.idle": "2022-11-02T17:11:28.808046Z", "shell.execute_reply": "2022-11-02T17:11:28.807402Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "\n", "ax.plot(kde.support, kde.cdf, lw=3, label=\"CDF\")\n", "ax.plot(np.linspace(0, 1, num=kde.icdf.size), kde.icdf, lw=3, label=\"Inverse CDF\")\n", "ax.plot(kde.support, kde.sf, lw=3, label=\"Survival function\")\n", "ax.legend(loc=\"best\")\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Cumulative Hazard Function" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:11:28.813194Z", "iopub.status.busy": "2022-11-02T17:11:28.812037Z", "iopub.status.idle": "2022-11-02T17:11:29.001370Z", "shell.execute_reply": "2022-11-02T17:11:29.000731Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "ax.plot(kde.support, kde.cumhazard, lw=3, label=\"Cumulative Hazard Function\")\n", "ax.legend(loc=\"best\")\n", "ax.grid(True, zorder=-5)" ] } ], "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": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 4 }