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-{
- "cells": [
- {
- "cell_type": "code",
- "execution_count": 1,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "%matplotlib inline"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "# OT for multi-source target shift\n",
- "\n",
- "\n",
- "This example introduces a target shift problem with two 2D source and 1 target domain.\n",
- "\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "# Authors: Remi Flamary <remi.flamary@unice.fr>\n",
- "# Ievgen Redko <ievgen.redko@univ-st-etienne.fr>\n",
- "#\n",
- "# License: MIT License\n",
- "\n",
- "import pylab as pl\n",
- "import numpy as np\n",
- "import ot\n",
- "from ot.datasets import make_data_classif"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Generate data\n",
- "-------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "n = 50\n",
- "sigma = 0.3\n",
- "np.random.seed(1985)\n",
- "\n",
- "p1 = .2\n",
- "dec1 = [0, 2]\n",
- "\n",
- "p2 = .9\n",
- "dec2 = [0, -2]\n",
- "\n",
- "pt = .4\n",
- "dect = [4, 0]\n",
- "\n",
- "xs1, ys1 = make_data_classif('2gauss_prop', n, nz=sigma, p=p1, bias=dec1)\n",
- "xs2, ys2 = make_data_classif('2gauss_prop', n + 1, nz=sigma, p=p2, bias=dec2)\n",
- "xt, yt = make_data_classif('2gauss_prop', n, nz=sigma, p=pt, bias=dect)\n",
- "\n",
- "all_Xr = [xs1, xs2]\n",
- "all_Yr = [ys1, ys2]"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "da = 1.5\n",
- "\n",
- "\n",
- "def plot_ax(dec, name):\n",
- " pl.plot([dec[0], dec[0]], [dec[1] - da, dec[1] + da], 'k', alpha=0.5)\n",
- " pl.plot([dec[0] - da, dec[0] + da], [dec[1], dec[1]], 'k', alpha=0.5)\n",
- " pl.text(dec[0] - .5, dec[1] + 2, name)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Fig 1 : plots source and target samples\n",
- "---------------------------------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "text/plain": [
- "(-1.85, 5.85, -4.167353448800062, 4.244952120369078)"
- ]
- },
- "execution_count": 5,
- "metadata": {},
- "output_type": "execute_result"
- },
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "pl.figure(1)\n",
- "pl.clf()\n",
- "plot_ax(dec1, 'Source 1')\n",
- "plot_ax(dec2, 'Source 2')\n",
- "plot_ax(dect, 'Target')\n",
- "pl.scatter(xs1[:, 0], xs1[:, 1], c=ys1, s=35, marker='x', cmap='Set1', vmax=9,\n",
- " label='Source 1 ({:1.2f}, {:1.2f})'.format(1 - p1, p1))\n",
- "pl.scatter(xs2[:, 0], xs2[:, 1], c=ys2, s=35, marker='+', cmap='Set1', vmax=9,\n",
- " label='Source 2 ({:1.2f}, {:1.2f})'.format(1 - p2, p2))\n",
- "pl.scatter(xt[:, 0], xt[:, 1], c=yt, s=35, marker='o', cmap='Set1', vmax=9,\n",
- " label='Target ({:1.2f}, {:1.2f})'.format(1 - pt, pt))\n",
- "pl.title('Data')\n",
- "\n",
- "pl.legend()\n",
- "pl.axis('equal')\n",
- "pl.axis('off')"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Instantiate Sinkhorn transport algorithm and fit them for all source domains\n",
- "----------------------------------------------------------------------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "ot_sinkhorn = ot.da.SinkhornTransport(reg_e=1e-1, metric='sqeuclidean')\n",
- "\n",
- "\n",
- "def print_G(G, xs, ys, xt):\n",
- " for i in range(G.shape[0]):\n",
- " for j in range(G.shape[1]):\n",
- " if G[i, j] > 5e-4:\n",
- " if ys[i]:\n",
- " c = 'b'\n",
- " else:\n",
- " c = 'r'\n",
- " pl.plot([xs[i, 0], xt[j, 0]], [xs[i, 1], xt[j, 1]], c, alpha=.2)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Fig 2 : plot optimal couplings and transported samples\n",
- "------------------------------------------------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "text/plain": [
- "(-1.85, 5.85, -4.170525419290473, 4.251885380465107)"
- ]
- },
- "execution_count": 7,
- "metadata": {},
- "output_type": "execute_result"
- },
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "pl.figure(2)\n",
- "pl.clf()\n",
- "plot_ax(dec1, 'Source 1')\n",
- "plot_ax(dec2, 'Source 2')\n",
- "plot_ax(dect, 'Target')\n",
- "print_G(ot_sinkhorn.fit(Xs=xs1, Xt=xt).coupling_, xs1, ys1, xt)\n",
- "print_G(ot_sinkhorn.fit(Xs=xs2, Xt=xt).coupling_, xs2, ys2, xt)\n",
- "pl.scatter(xs1[:, 0], xs1[:, 1], c=ys1, s=35, marker='x', cmap='Set1', vmax=9)\n",
- "pl.scatter(xs2[:, 0], xs2[:, 1], c=ys2, s=35, marker='+', cmap='Set1', vmax=9)\n",
- "pl.scatter(xt[:, 0], xt[:, 1], c=yt, s=35, marker='o', cmap='Set1', vmax=9)\n",
- "\n",
- "pl.plot([], [], 'r', alpha=.2, label='Mass from Class 1')\n",
- "pl.plot([], [], 'b', alpha=.2, label='Mass from Class 2')\n",
- "\n",
- "pl.title('Independent OT')\n",
- "\n",
- "pl.legend()\n",
- "pl.axis('equal')\n",
- "pl.axis('off')"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Instantiate JCPOT adaptation algorithm and fit it\n",
- "----------------------------------------------------------------------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "text/plain": [
- "(-1.85, 5.85, -4.170525419290473, 4.251885380465107)"
- ]
- },
- "execution_count": 8,
- "metadata": {},
- "output_type": "execute_result"
- },
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "otda = ot.da.JCPOTTransport(reg_e=1, max_iter=1000, metric='sqeuclidean', tol=1e-9, verbose=True, log=True)\n",
- "otda.fit(all_Xr, all_Yr, xt)\n",
- "\n",
- "ws1 = otda.proportions_.dot(otda.log_['D2'][0])\n",
- "ws2 = otda.proportions_.dot(otda.log_['D2'][1])\n",
- "\n",
- "pl.figure(3)\n",
- "pl.clf()\n",
- "plot_ax(dec1, 'Source 1')\n",
- "plot_ax(dec2, 'Source 2')\n",
- "plot_ax(dect, 'Target')\n",
- "print_G(ot.bregman.sinkhorn(ws1, [], otda.log_['M'][0], reg=1e-1), xs1, ys1, xt)\n",
- "print_G(ot.bregman.sinkhorn(ws2, [], otda.log_['M'][1], reg=1e-1), xs2, ys2, xt)\n",
- "pl.scatter(xs1[:, 0], xs1[:, 1], c=ys1, s=35, marker='x', cmap='Set1', vmax=9)\n",
- "pl.scatter(xs2[:, 0], xs2[:, 1], c=ys2, s=35, marker='+', cmap='Set1', vmax=9)\n",
- "pl.scatter(xt[:, 0], xt[:, 1], c=yt, s=35, marker='o', cmap='Set1', vmax=9)\n",
- "\n",
- "pl.plot([], [], 'r', alpha=.2, label='Mass from Class 1')\n",
- "pl.plot([], [], 'b', alpha=.2, label='Mass from Class 2')\n",
- "\n",
- "pl.title('OT with prop estimation ({:1.3f},{:1.3f})'.format(otda.proportions_[0], otda.proportions_[1]))\n",
- "\n",
- "pl.legend()\n",
- "pl.axis('equal')\n",
- "pl.axis('off')"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Run oracle transport algorithm with known proportions\n",
- "----------------------------------------------------------------------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 9,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "h_res = np.array([1 - pt, pt])\n",
- "\n",
- "ws1 = h_res.dot(otda.log_['D2'][0])\n",
- "ws2 = h_res.dot(otda.log_['D2'][1])\n",
- "\n",
- "pl.figure(4)\n",
- "pl.clf()\n",
- "plot_ax(dec1, 'Source 1')\n",
- "plot_ax(dec2, 'Source 2')\n",
- "plot_ax(dect, 'Target')\n",
- "print_G(ot.bregman.sinkhorn(ws1, [], otda.log_['M'][0], reg=1e-1), xs1, ys1, xt)\n",
- "print_G(ot.bregman.sinkhorn(ws2, [], otda.log_['M'][1], reg=1e-1), xs2, ys2, xt)\n",
- "pl.scatter(xs1[:, 0], xs1[:, 1], c=ys1, s=35, marker='x', cmap='Set1', vmax=9)\n",
- "pl.scatter(xs2[:, 0], xs2[:, 1], c=ys2, s=35, marker='+', cmap='Set1', vmax=9)\n",
- "pl.scatter(xt[:, 0], xt[:, 1], c=yt, s=35, marker='o', cmap='Set1', vmax=9)\n",
- "\n",
- "pl.plot([], [], 'r', alpha=.2, label='Mass from Class 1')\n",
- "pl.plot([], [], 'b', alpha=.2, label='Mass from Class 2')\n",
- "\n",
- "pl.title('OT with known proportion ({:1.1f},{:1.1f})'.format(h_res[0], h_res[1]))\n",
- "\n",
- "pl.legend()\n",
- "pl.axis('equal')\n",
- "pl.axis('off')\n",
- "pl.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": "3.6.9"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 0
-}