{ "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": "2026-07-25T23:42:04.473870Z", "iopub.status.busy": "2026-07-25T23:42:04.471551Z", "iopub.status.idle": "2026-07-25T23:42:09.320470Z", "shell.execute_reply": "2026-07-25T23:42:09.319742Z" } }, "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": "2026-07-25T23:42:09.324086Z", "iopub.status.busy": "2026-07-25T23:42:09.323655Z", "iopub.status.idle": "2026-07-25T23:42:09.332373Z", "shell.execute_reply": "2026-07-25T23:42:09.331733Z" } }, "outputs": [], "source": [ "# Seed for consistency\n", "np.random.seed(1)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:42:09.335480Z", "iopub.status.busy": "2026-07-25T23:42:09.335239Z", "iopub.status.idle": "2026-07-25T23:42:09.380233Z", "shell.execute_reply": "2026-07-25T23:42:09.379320Z" } }, "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": "2026-07-25T23:42:09.383897Z", "iopub.status.busy": "2026-07-25T23:42:09.382316Z", "iopub.status.idle": "2026-07-25T23:42:09.876122Z", "shell.execute_reply": "2026-07-25T23:42:09.873344Z" } }, "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": "2026-07-25T23:42:09.879410Z", "iopub.status.busy": "2026-07-25T23:42:09.879174Z", "iopub.status.idle": "2026-07-25T23:42:13.454775Z", "shell.execute_reply": "2026-07-25T23:42:13.453906Z" } }, "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": "2026-07-25T23:42:13.458682Z", "iopub.status.busy": "2026-07-25T23:42:13.458462Z", "iopub.status.idle": "2026-07-25T23:42:13.909882Z", "shell.execute_reply": "2026-07-25T23:42:13.908893Z" } }, "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": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 4 }