{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# LOWESS Smoother\n", "\n", "This notebook introduces the LOWESS smoother in the `nonparametric` package. LOWESS performs weighted local linear fits.\n", "\n", "We generated some non-linear data and perform a LOWESS fit, then compute a 95% confidence interval around the LOWESS fit by performing bootstrap resampling." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:42.004279Z", "iopub.status.busy": "2024-04-19T16:33:42.004063Z", "iopub.status.idle": "2024-04-19T16:33:45.807991Z", "shell.execute_reply": "2024-04-19T16:33:45.807312Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import pylab\n", "import seaborn as sns\n", "import statsmodels.api as sm\n", "\n", "sns.set_style(\"darkgrid\")\n", "pylab.rc(\"figure\", figsize=(16, 8))\n", "pylab.rc(\"font\", size=14)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:45.814418Z", "iopub.status.busy": "2024-04-19T16:33:45.812223Z", "iopub.status.idle": "2024-04-19T16:33:45.819471Z", "shell.execute_reply": "2024-04-19T16:33:45.818859Z" } }, "outputs": [], "source": [ "# Seed for consistency\n", "np.random.seed(1)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:45.824220Z", "iopub.status.busy": "2024-04-19T16:33:45.822782Z", "iopub.status.idle": "2024-04-19T16:33:45.876703Z", "shell.execute_reply": "2024-04-19T16:33:45.876117Z" } }, "outputs": [], "source": [ "# Generate data looking like cosine\n", "x = np.random.uniform(0, 4 * np.pi, size=200)\n", "y = np.cos(x) + np.random.random(size=len(x))\n", "\n", "# Compute a lowess smoothing of the data\n", "smoothed = sm.nonparametric.lowess(exog=x, endog=y, frac=0.2)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:45.881557Z", "iopub.status.busy": "2024-04-19T16:33:45.880051Z", "iopub.status.idle": "2024-04-19T16:33:46.632696Z", "shell.execute_reply": "2024-04-19T16:33:46.631939Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the fit line\n", "fig, ax = pylab.subplots()\n", "\n", "ax.scatter(x, y)\n", "ax.plot(smoothed[:, 0], smoothed[:, 1], c=\"k\")\n", "pylab.autoscale(enable=True, axis=\"x\", tight=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Confidence interval\n", "\n", "Now that we have performed a fit, we may want to know how precise it is. Bootstrap resampling gives one\n", "way of estimating confidence intervals around a LOWESS fit by recomputing the LOWESS fit for a large number\n", "of random resamplings from our data." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:46.636305Z", "iopub.status.busy": "2024-04-19T16:33:46.635993Z", "iopub.status.idle": "2024-04-19T16:33:50.850930Z", "shell.execute_reply": "2024-04-19T16:33:50.850155Z" } }, "outputs": [], "source": [ "# Now create a bootstrap confidence interval around the a LOWESS fit\n", "\n", "\n", "def lowess_with_confidence_bounds(\n", " x, y, eval_x, N=200, conf_interval=0.95, lowess_kw=None\n", "):\n", " \"\"\"\n", " Perform Lowess regression and determine a confidence interval by bootstrap resampling\n", " \"\"\"\n", " # Lowess smoothing\n", " smoothed = sm.nonparametric.lowess(exog=x, endog=y, xvals=eval_x, **lowess_kw)\n", "\n", " # Perform bootstrap resamplings of the data\n", " # and evaluate the smoothing at a fixed set of points\n", " smoothed_values = np.empty((N, len(eval_x)))\n", " for i in range(N):\n", " sample = np.random.choice(len(x), len(x), replace=True)\n", " sampled_x = x[sample]\n", " sampled_y = y[sample]\n", "\n", " smoothed_values[i] = sm.nonparametric.lowess(\n", " exog=sampled_x, endog=sampled_y, xvals=eval_x, **lowess_kw\n", " )\n", "\n", " # Get the confidence interval\n", " sorted_values = np.sort(smoothed_values, axis=0)\n", " bound = int(N * (1 - conf_interval) / 2)\n", " bottom = sorted_values[bound - 1]\n", " top = sorted_values[-bound]\n", "\n", " return smoothed, bottom, top\n", "\n", "\n", "# Compute the 95% confidence interval\n", "eval_x = np.linspace(0, 4 * np.pi, 31)\n", "smoothed, bottom, top = lowess_with_confidence_bounds(\n", " x, y, eval_x, lowess_kw={\"frac\": 0.1}\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:33:50.854675Z", "iopub.status.busy": "2024-04-19T16:33:50.854361Z", "iopub.status.idle": "2024-04-19T16:33:51.639879Z", "shell.execute_reply": "2024-04-19T16:33:51.639241Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the confidence interval and fit\n", "fig, ax = pylab.subplots()\n", "ax.scatter(x, y)\n", "ax.plot(eval_x, smoothed, c=\"k\")\n", "ax.fill_between(eval_x, bottom, top, alpha=0.5, color=\"b\")\n", "pylab.autoscale(enable=True, axis=\"x\", tight=True)" ] } ], "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": "3.10.14" } }, "nbformat": 4, "nbformat_minor": 4 }