{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# MGWR" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "from jax import numpy as jnp\n", "from jax import random\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "import sgGWR" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# spatial coefficient from\n", "# Fotheringham, A. S., Yang, W., & Kang, W. (2017). Multiscale Geographically Weighted Regression (MGWR).\n", "# Annals of the American Association of Geographers, 107(6), 1247–1265. https://doi.org/10.1080/24694452.2017.1352480\n", "\n", "u0, v0 = jnp.arange(25), jnp.arange(25)\n", "u, v = jnp.meshgrid(u0, v0)\n", "u, v = u.flatten(), v.flatten()\n", "N = len(u)\n", "rngkey = random.PRNGKey(123)\n", "\n", "beta = jnp.stack(\n", " [\n", " 3 * jnp.ones(N),\n", " 1 + (u + v) / 12,\n", " 1 + (36 - jnp.square(6 - u / 2)) * (36 - jnp.square(6 - v / 2)) / 324,\n", " ]\n", ").T\n", "X = jnp.concatenate([jnp.ones((N, 1)), random.normal(rngkey, shape=(N, 2))], axis=1)\n", "y = jnp.sum(X * beta, axis=1) + 0.5 * random.normal(rngkey, shape=(N,))\n", "# %%\n", "fig, axes = plt.subplots(1, 3, subplot_kw={\"aspect\": \"equal\"}, figsize=(10, 5))\n", "\n", "for d in range(3):\n", " ct = axes[d].contourf(u0, v0, beta[:, d].reshape(len(u0), len(v0)))\n", " fig.colorbar(ct, ax=axes[d])\n", "\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "sites = jnp.stack([u, v]).T\n", "\n", "kernel = sgGWR.kernels.Exponential(params=[10])\n", "kernel.init_param(sites)\n", "model_gwr = sgGWR.models.GWR(y, X, sites, kernel=kernel)\n", "\n", "optim = sgGWR.optimizers.scipy_optimizer()\n", "optim.run_scalar(model_gwr)\n", "\n", "model_gwr.set_betas_inner()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "0fc2dbd72f49431b821cb6ffcf5d8cbe", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/100 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sites = jnp.stack([u, v]).T\n", "\n", "kernel = sgGWR.kernels.Exponential(params=[10])\n", "kernel.init_param(sites)\n", "model_mgwr = sgGWR.models.MGWR(y, X, sites, kernel=kernel, base_class=sgGWR.models.GWR)\n", "\n", "optims = [sgGWR.optimizers.scipy_optimizer()] * 3\n", "\n", "model_mgwr.backfitting(optimizers=optims)\n", "\n", "plt.plot(model_mgwr.RSS)\n", "plt.xlabel(\"iterations\")\n", "plt.ylabel(\"RSS\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "GWR bandwidth = 1.3362265\n", "MGWR bandwidth = [0.0008226439240388572, 1.5896973609924316, 1.8775309324264526]\n" ] } ], "source": [ "print(\"GWR bandwidth = \", model_gwr.kernel.params[0])\n", "print(\"MGWR bandwidth = \", [float(k.params[0]) for k in model_mgwr.kernel])" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, 3, subplot_kw={\"aspect\": \"equal\"}, figsize=(10, 10))\n", "\n", "for d in range(3):\n", " axes[0][d].set_title(\"true coefficients\")\n", " ct = axes[0][d].contourf(\n", " u0, v0, beta[:, d].reshape(len(u0), len(v0)), vmin=1.0, vmax=5.0\n", " )\n", " fig.colorbar(ct, ax=axes[0][d])\n", "\n", " axes[1][d].set_title(\"GWR coefficients\")\n", " ct = axes[1][d].contourf(\n", " u0, v0, model_gwr.betas[:, d].reshape(len(u0), len(v0)), vmin=1.0, vmax=5.0\n", " )\n", " fig.colorbar(ct, ax=axes[1][d])\n", "\n", " axes[2][d].set_title(\"MGWR coefficients\")\n", " ct = axes[2][d].contourf(\n", " u0, v0, model_mgwr.betas[:, d].reshape(len(u0), len(v0)), vmin=1.0, vmax=5.0\n", " )\n", " fig.colorbar(ct, ax=axes[2][d])\n", "\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.axis(\"equal\")\n", "plt.scatter(model_mgwr.betas[:, 0], model_gwr.betas[:, 0], s=1, marker=\"x\")\n", "plt.axvline(3, color=\"k\")\n", "plt.axhline(3, color=\"k\")\n", "plt.scatter(3, 3, marker=\"x\", c=\"red\", label=\"True fixed intercept\")\n", "plt.legend()\n", "plt.title(\"Estiamated intercepts: GWR v.s. MGWR\")\n", "plt.xlabel(\"MGWR estimate\")\n", "plt.ylabel(\"GWR estimate\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "main", "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": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 2 }