{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial: Fréchet Mean and Tangent PCA\n", "\n", "This notebook shows how to compute the Fréchet mean of a data set.\n", "Then it performs tangent PCA at the mean." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import os\n", "import sys\n", "import warnings\n", "\n", "sys.path.append(os.path.dirname(os.getcwd()))\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO: Using numpy backend\n" ] } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "import geomstats.backend as gs\n", "import geomstats.visualization as visualization\n", "\n", "from geomstats.learning.frechet_mean import FrechetMean\n", "from geomstats.learning.pca import TangentPCA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## On the sphere" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generate data on the sphere" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from geomstats.geometry.hypersphere import Hypersphere\n", "\n", "sphere = Hypersphere(dim=2)\n", "data = sphere.random_von_mises_fisher(kappa=15, n_samples=140)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8, 8))\n", "ax = visualization.plot(data, space='S2', color='black', alpha=0.7, label='Data points')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fréchet mean" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We compute the Fréchet mean of the simulated data points." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "mean = FrechetMean(metric=sphere.metric)\n", "mean.fit(data)\n", "\n", "mean_estimate = mean.estimate_" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8, 8))\n", "ax = visualization.plot(data, space='S2', color='black', alpha=0.2, label='Data points')\n", "ax = visualization.plot(mean_estimate, space='S2', color='red', ax=ax, s=200, label='Fréchet mean')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tangent PCA (at the Fréchet mean)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We perform tangent PCA at the Fréchet mean, with two principal components." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "tpca = TangentPCA(metric=sphere.metric, n_components=2)\n", "tpca = tpca.fit(data, base_point=mean_estimate)\n", "tangent_projected_data = tpca.transform(data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We compute the geodesics on the sphere corresponding to the two principal components." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "geodesic_0 = sphere.metric.geodesic(\n", " initial_point=mean_estimate,\n", " initial_tangent_vec=tpca.components_[0])\n", "geodesic_1 = sphere.metric.geodesic(\n", " initial_point=mean_estimate,\n", " initial_tangent_vec=tpca.components_[1])\n", "\n", "n_steps = 100\n", "t = gs.linspace(-1., 1., n_steps)\n", "geodesic_points_0 = geodesic_0(t)\n", "geodesic_points_1 = geodesic_1(t) " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(16, 7))\n", "ax = fig.add_subplot(121)\n", "xticks = gs.arange(1, 2+1, 1)\n", "ax.xaxis.set_ticks(xticks)\n", "ax.set_title('Explained variance')\n", "ax.set_xlabel('Number of Principal Components')\n", "ax.set_ylim((0, 1))\n", "ax.bar(xticks, tpca.explained_variance_ratio_)\n", "\n", "ax = fig.add_subplot(122, projection=\"3d\")\n", "\n", "ax = visualization.plot(\n", " geodesic_points_0, ax, space='S2', linewidth=2, label='First component')\n", "ax = visualization.plot(\n", " geodesic_points_1, ax, space='S2', linewidth=2, label='Second component')\n", "ax = visualization.plot(\n", " data, ax, space='S2', color='black', alpha=0.2, label='Data points')\n", "ax = visualization.plot(\n", " mean_estimate, ax, space='S2', color='red', s=200, label='Fréchet mean')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## In the Hyperbolic plane" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generate data on the hyperbolic plane" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "from geomstats.geometry.hyperboloid import Hyperboloid\n", "\n", "hyperbolic_plane = Hyperboloid(dim=2)\n", "\n", "data = hyperbolic_plane.random_point(n_samples=140)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8, 8))\n", "ax = visualization.plot(data, space='H2_poincare_disk', color='black', alpha=0.7, label='Data points')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fréchet mean" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We compute the Fréchet mean of the data points." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "mean = FrechetMean(metric=hyperbolic_plane.metric)\n", "mean.fit(data)\n", "\n", "mean_estimate = mean.estimate_" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8, 8))\n", "ax = visualization.plot(data, space='H2_poincare_disk', color='black', alpha=0.2, label='Data points')\n", "ax = visualization.plot(mean_estimate, space='H2_poincare_disk', color='red', ax=ax, s=200, label='Fréchet mean')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tangent PCA (at the Fréchet mean)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We perform tangent PCA at the Fréchet mean." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "tpca = TangentPCA(metric=hyperbolic_plane.metric, n_components=2)\n", "tpca = tpca.fit(data, base_point=mean_estimate)\n", "tangent_projected_data = tpca.transform(data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We compute the geodesics corresponding to the first components of the tangent PCA." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "geodesic_0 = hyperbolic_plane.metric.geodesic(\n", " initial_point=mean_estimate,\n", " initial_tangent_vec=tpca.components_[0])\n", "geodesic_1 = hyperbolic_plane.metric.geodesic(\n", " initial_point=mean_estimate,\n", " initial_tangent_vec=tpca.components_[1])\n", "\n", "n_steps = 100\n", "t = gs.linspace(-1., 1., n_steps)\n", "geodesic_points_0 = geodesic_0(t)\n", "geodesic_points_1 = geodesic_1(t) " ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(16, 7.5))\n", "ax = fig.add_subplot(121)\n", "xticks = gs.arange(1, 2+1, 1)\n", "ax.xaxis.set_ticks(xticks)\n", "ax.set_title('Explained variance')\n", "ax.set_xlabel('Number of Principal Components')\n", "ax.set_ylim((0, 1))\n", "ax.bar(xticks, tpca.explained_variance_ratio_)\n", "\n", "ax = fig.add_subplot(122)\n", "\n", "ax = visualization.plot(\n", " geodesic_points_0, ax, space='H2_poincare_disk', linewidth=2, label='First component')\n", "ax = visualization.plot(\n", " geodesic_points_1, ax, space='H2_poincare_disk', linewidth=2, label='Second component')\n", "ax = visualization.plot(\n", " data, ax, space='H2_poincare_disk', color='black', alpha=0.2, label='Data points')\n", "ax = visualization.plot(\n", " mean_estimate, ax, space='H2_poincare_disk', color='red', s=200, label='Fréchet mean')\n", "ax.legend()\n", "plt.show()" ] } ], "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 2 }