{ "cells": [ { "cell_type": "code", "execution_count": 220, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "from scipy import misc\n", "from scipy import ndimage\n", "import pickle\n", "from sklearn import datasets\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 221, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 221, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQMAAAEACAYAAAC3RRNlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "img = misc.imread('./yingyang.jpg')\n", "img = np.mean(img, axis=2)\n", "img = np.where(img==0, -1, img)\n", "img = np.where(img==255, 1, img)\n", "img = np.where(img>1, 0, img)\n", "img = ndimage.gaussian_filter(img, sigma=2)\n", "plt.imshow(img, cmap='gray')" ] }, { "cell_type": "code", "execution_count": 231, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 231, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEACAYAAAC3adEgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nyJAhQ4YMDciCIUOGDBkyNOD/A5nx2J6U5WT/AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "max_points = 1000\n", "\n", "points = np.random.rand(max_points,2)*img.shape[0]\n", "plt.scatter(points[:,0], points[:,1])" ] }, { "cell_type": "code", "execution_count": 232, "metadata": { "collapsed": false }, "outputs": [], "source": [ "label = np.ones(points.shape[0])\n", "for i, p in enumerate(points):\n", " label[i] = img[int(p[0]), int(p[1])]\n", " \n", "epsilon = 10**-1\n", "points = points[np.abs(label)>epsilon,:]\n", "label = label[np.abs(label)>epsilon]\n", "label = np.where(label > 0, 1, -1)" ] }, { "cell_type": "code", "execution_count": 233, "metadata": { "collapsed": false }, "outputs": [], "source": [ "points /= img.shape[0]" ] }, { "cell_type": "code", "execution_count": 234, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 234, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAEACAYAAAC08h1NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nZajiVxRFmTJU8SuKokwZqvgVRVGmjP8PLeKdEM6TY68AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(points[label==-1, 0], points[label==-1, 1], color='red')\n", "plt.scatter(points[label==1, 0], points[label==1, 1], color='green')" ] }, { "cell_type": "code", "execution_count": 235, "metadata": { "collapsed": true }, "outputs": [], "source": [ "ds = datasets.base.Bunch()\n", "ds.update({'data':points,'target':label})\n", "pickle.dump(ds, open('yingyang.dat', 'wb'))" ] }, { "cell_type": "code", "execution_count": 236, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dataset = pickle.load(open('yingyang.dat', 'rb'))" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }