{ "cells": [ { "cell_type": "markdown", "id": "b02c4f87", "metadata": {}, "source": [ "# Kernels with `libpysal`\n", "\n", "\n", "Kernel functions are widely used across spatial analysis for tasks such as density estimation, spatial smoothing, construction of local influence surfaces, and geographically weighted modeling. They provide a flexible mechanism to formalize how spatial influence decays with distance, allowing analysts to encode different assumptions about locality, neighborhood structure, and the scale of spatial interaction.\n", "\n", "Within the PySAL ecosystem, kernel functions are used primarily for generating spatial weights matrices—especially continuous, distance-decay–based weights—and for defining weighted edges in spatial graph representations. They also appear in certain spatial econometric estimators that require localized or tapered weighting schemes to model distance-dependent interactions and spatial heterogeneity more realistically.\n", "\n", "This notebook illustrates the functionality of kernels in `libpysal`.\n" ] }, { "cell_type": "markdown", "id": "b1425b84", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "id": "596bf312", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from libpysal import kernels\n", "\n", "np.set_printoptions(precision=4, suppress=True)" ] }, { "cell_type": "markdown", "id": "ad9e8602", "metadata": {}, "source": [ "## Available Kernels\n", "\n", "For a distance \\(d\\) and bandwidth \\(h\\), kernels are evaluated on the rescaled distance\n", "\n", "\\begin{equation}\n", "z = \\frac{d}{h}, \\quad K(z).\n", "\\end{equation}\n", "\n", "The following kernel functions are implemented using one-dimensional definitions with $K(z)=0$ outside the stated support:\n", "\n", "\n", "- **Triangular** (\"triangle\")\n", " $$\n", " K(z) = 1 - |z|, \\quad |z| \\le 1.\n", " $$\n", "\n", "- **Uniform** (\"boxcar\")\n", " $$\n", " K(z) = \\frac{1}{2}, \\quad |z| \\le 1.\n", " $$\n", "\n", "- **Quadratic** (Epanechnikov / \"parabolic\")\n", " $$\n", " K(z) = \\frac{3}{4}(1 - z^2), \\quad |z| \\le 1.\n", " $$\n", "\n", "- **Quartic** (biweight / \"bisquare\")\n", " $$\n", " K(z) = \\frac{15}{16}(1 - z^2)^2, \\quad |z| \\le 1.\n", " $$\n", "\n", "- **Gaussian**\n", " $$\n", " K(z) = (2\\pi)^{-1/2} \\exp\\left(-\\frac{z^2}{2}\\right), \\quad z \\in \\mathbb{R}.\n", " $$\n", "\n", "The helpers in `kernels.py` adopt the same functional forms, but add optional arguments such as\n", "`decay` and `taper` to control how quickly weights decline with distance and whether the kernel is\n", " truncated at the bandwidth.\n", "\n", "\n", "### Interpretation of Kernel Functions\n", "\n", "Kernel functions differ in smoothness, support, and rate of decay. These properties influence how local or global the resulting spatial weights are.\n", "\n", "Triangular kernels decline linearly from peak to zero at the bandwidth. They generate moderate smoothing with sharp locality.\n", "\n", "Uniform (boxcar) kernels assign equal weight to all neighbors within the bandwidth and zero beyond. This is equivalent to binary distance-band weights and does not provide smoothing inside the band.\n", "\n", "Quadratic (parabolic) kernels decline smoothly and balance locality with smoothness. They are frequently used in nonparametric estimation due to favorable statistical properties.\n", "\n", "Quartic (bisquare) kernels have a steeper decline and place more weight on very close neighbors while still providing smooth, compact support.\n", "\n", "Gaussian kernels provide infinite support and the smoothest decay. Weights never drop to zero without tapering, which can lead to denser spatial weight matrices.\n", "\n", "Compactly supported kernels yield sparse matrices and emphasize strict locality. Infinite-support kernels yield smoother influence but may require tapering for computational efficiency. The rate of decline determines how \"local\" the smoothing will be in practice.\n", "\n", "\n", "Below we plot several common kernels implemented in `libpysal`.\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "3656a337", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "functions = [\n", " \"triangular\",\n", " \"parabolic\",\n", " \"gaussian\",\n", " \"bisquare\",\n", " \"cosine\",\n", " \"exponential\",\n", " \"boxcar\",\n", "]\n", "\n", "h = 1.0 # bandwidth\n", "d = np.linspace(0, 2 * h, 400)\n", "\n", "plt.figure(figsize=(8, 5))\n", "for fn in functions:\n", " k = kernels.kernel(d, bandwidth=h, kernel=fn, taper=False)\n", " plt.plot(d / h, k, label=fn)\n", "\n", "plt.axvline(1.0, linestyle=\"--\", linewidth=1)\n", "plt.xlabel(\"$z = d / h$\")\n", "plt.ylabel(\"$K(z)$\")\n", "plt.title(\"Kernel shapes\")\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "892ac343-1c45-4baf-96fc-e0ab46383465", "metadata": {}, "source": [ "## Exploring alternative kernels and bandwidths\n", "\n", "You can repeat the previous steps using different kernel functions and bandwidth strategies to see how they affect the spatial lag.\n", "\n", "For example:\n", "\n", "```python\n", "w_gauss_fixed = Kernel(coords, k=8, fixed=True, function=\"gaussian\")\n", "w_gauss_fixed.transform = \"r\"\n", "lag_gauss = lag_spatial(w_gauss_fixed, y)\n", "\n", "# Plot `lag_gauss` and compare.\n", "```\n", "\n", "A typical set of experiments for a spatial analysis project might include:\n", "\n", "- Trying different kernels (triangular, Gaussian, bisquare, etc.).\n", "- Varying the number of neighbors `k`.\n", "- Comparing fixed vs. adaptive bandwidth.\n", "- Examining how these choices impact local statistics, regression residuals, or risk surfaces.\n" ] }, { "cell_type": "markdown", "id": "048dbceb-3444-4f9c-b85d-ff6d62788797", "metadata": {}, "source": [ "### Bandwidth\n", "\n", "The `bandwidth` parameter controls the spatial scale of the kernel. In the notation used earlier, the\n", "kernel is evaluated on the rescaled distance\n", "\n", "\\begin{equation}\n", "z = \\frac{d}{h},\n", "\\end{equation}\n", "\n", "where `h` is the bandwidth. Smaller bandwidths produce more localized weights (steeper decay), while\n", "larger bandwidths produce broader, smoother influence functions.\n", "\n", "Below we compare triangular kernels with three different bandwidths on the same distance axis.\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "26cd3288-d713-4750-b4a0-2bbd8d029962", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d = np.linspace(0, 2, 400) # absolute distance\n", "bandwidths = [0.25, 0.5, 1.0]\n", "\n", "plt.figure(figsize=(8, 5))\n", "for h in bandwidths:\n", " k_vals = kernels.kernel(d, bandwidth=h, kernel=\"triangular\", taper=False)\n", " plt.plot(d, k_vals, label=f\"h = {h}\")\n", "\n", "plt.xlabel(\"Distance d\")\n", "plt.ylabel(\"Kernel weight K(d; h)\")\n", "plt.title(\"Effect of bandwidth on the triangular kernel\")\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "dbde8902-22d4-415c-9db0-e3aa36f76094", "metadata": {}, "source": [ "### Decay\n", "\n", "For the Gaussian kernel, the `decay` argument determines whether to calculate the kernel using the decay formulation.\n", " In the decay form, a kernel measures the distance decay in\n", " similarity between observations. It varies from maximal\n", " similarity (1) at a distance of zero to minimal similarity (0\n", " or negative) at some very large (possibly infinite) distance.\n", " Otherwise, kernel functions are treated as proper\n", " volume-preserving probability distributions.\n", "\n", "\n", "Here we fix the bandwidth and compare Gaussian kernels with different `decay` values.\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "b528a7ff-c38d-45f8-95bc-89f35eb4ccb2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d = np.linspace(0, 3, 400)\n", "h = 1.0\n", "decays = [True, False]\n", "\n", "plt.figure(figsize=(8, 5))\n", "for dec in decays:\n", " k_vals = kernels.kernel(d, bandwidth=h, kernel=\"gaussian\", decay=dec, taper=False)\n", " plt.plot(d, k_vals, label=f\"decay = {dec}\")\n", "\n", "plt.xlabel(\"Distance d\")\n", "plt.ylabel(\"Kernel weight K(d; h, decay)\")\n", "plt.title(\"Effect of decay on the Gaussian kernel\")\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "727fc06d-07d0-4ef1-a317-128b425e0cdd", "metadata": {}, "source": [ "### Taper\n", "\n", "The `taper` argument is particularly relevant for unbounded kernels (e.g., Gaussian, exponential).\n", "When `taper=False`, the kernel has non-zero weight at all distances (in principle), although weights\n", "may become very small. When `taper=True`, the kernel is truncated at the bandwidth `h`, so weights\n", "are exactly zero for `d > h`.\n", "\n", "This can make the resulting spatial weights matrix sparser and improve computational efficiency,\n", "while still preserving the basic shape of the kernel within the bandwidth.\n", "\n", "Below we compare a Gaussian kernel with and without tapering.\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "f85a56c7-6808-4623-80ea-6b1f24def26e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d = np.linspace(0, 3, 400)\n", "h = 1.0\n", "\n", "k_notaper = kernels.kernel(d, bandwidth=h, kernel=\"gaussian\", taper=False)\n", "k_taper = kernels.kernel(d, bandwidth=h, kernel=\"gaussian\", taper=True)\n", "\n", "plt.figure(figsize=(8, 5))\n", "plt.plot(d, k_notaper, label=\"taper = False\")\n", "plt.plot(d, k_taper, linestyle=\"--\", label=\"taper = True\")\n", "plt.axvline(h, linestyle=\":\", linewidth=1)\n", "\n", "plt.xlabel(\"Distance d\")\n", "plt.ylabel(\"Kernel weight K(d; h)\")\n", "plt.title(\"Effect of tapering on the Gaussian kernel\")\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "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": "3.13.7" } }, "nbformat": 4, "nbformat_minor": 5 }