diff --git a/lectures/11-kMeans-SOM.ipynb b/lectures/11-kMeans-SOM.ipynb new file mode 100644 index 0000000..f3aea16 --- /dev/null +++ b/lectures/11-kMeans-SOM.ipynb @@ -0,0 +1 @@ +{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"11-kMeans-SOM.ipynb","provenance":[],"collapsed_sections":[]},"kernelspec":{"name":"python3","display_name":"Python 3"}},"cells":[{"cell_type":"code","metadata":{"id":"185JtqcTbCTW","colab_type":"code","colab":{}},"source":["%matplotlib inline"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"k6KZ9QiJbCTb","colab_type":"code","colab":{}},"source":["from __future__ import division\n","from __future__ import print_function"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"EYsAYgG1bCTe","colab_type":"code","colab":{}},"source":["import numpy as np\n","\n","import matplotlib as mpl\n","import matplotlib.pyplot as plt\n","\n","import imageio\n","\n","from scipy import ndimage\n","from scipy import stats\n","from scipy.spatial import distance\n","\n","from IPython import display"],"execution_count":0,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"-Zht_A9ZbCTh","colab_type":"text"},"source":["# K-Means clustering\n","\n","K-Means is the most basic data clustering approach. Its operation consists of assigning each data sample to its *cluster* ensuring that samples added to a cluster are more similar to themselves than to the data in other clusters.\n","\n","Alternatively, K-Means can be seen as a lossy compressions scheme, in which each sample is replaced with a prototype in a way that minimizes the total sum of errors.\n","\n","Formally, given a set of $N$ data samples $X = \\{x^{(1)}, x^{(2)}, \\ldots, x^{(N)}\\}$ and a desired number of clusters $K$ K-Means finds $K$ cluster *centroids* or *prototypes* $\\{\\mu^{(j)}, j\\in 1,2,\\ldots,K\\}$. Then, it assigns each sample $x^{(i)}$ to the cluster $c^{(i)} \\in \\{1, 2, \\ldots, K\\}$ whose centroids is the closest to $x^{(i)}$: $c^{(i)} = \\underset{j}\\arg\\min ||x^{(i)} - \\mu^{(j)}||$. To find the centroids, K-means attempts to solve the following optimization problem:\n","\n","\\begin{equation}\n"," \\underset{\\mu, c}\\arg\\min \\sum_i||x^{(i)} - \\mu^{(c^{(i)})}||^2_2\n","\\end{equation}\n","\n","A typical algorithm used to solve the optimization problem iterates between optimizing over $\\mu$ and optimizing over $c$:\n","\n","- Initialize $\\mu$ to e.g. K randomly selected data samples\n","- Loop:\n"," - Assign samples to clusters (optimize over $c$)\n"," - Move cluster centroids (optimize over $\\mu$): $\\mu^{(j)} \\gets \\frac{\\sum_i [c^{(i)}=j] x^{(i)}}{\\sum_i [c^{(i)}=j]}$, where $[\\cdot]$ is the indicator function.\n"," \n","The code below applies the K-Means algorithm to optimize the color palette of an image. It replaces each 16-bit pixel (two 8-bit colors) by a 4-bit color identifier."]},{"cell_type":"code","metadata":{"id":"a5UkB9Wjbg5J","colab_type":"code","colab":{}},"source":["!wget -q https://github.com/janchorowski/nn_assignments/raw/nn17_fall/lecture_notebooks/11-Rosa_Gold_Glow_2_small_noblue.png"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"eHy8XQo8bCTi","colab_type":"code","outputId":"11f848e1-24e1-46a6-adfe-5387017e9225","executionInfo":{"status":"ok","timestamp":1578410422591,"user_tz":-60,"elapsed":8079,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":202}},"source":["img = imageio.imread('11-Rosa_Gold_Glow_2_small_noblue.png')/255.\n","\n","plt.subplot(121)\n","plt.imshow(img)\n","plt.grid(False)\n","\n","im_flat = img.reshape([-1, 3])\n","plt.subplot(122)\n","plt.scatter(im_flat[:,0], im_flat[:,1], c=im_flat, marker='.', edgecolors='face', alpha=0.3)\n","plt.axis('square')\n","None"],"execution_count":20,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXoAAAC5CAYAAAAmq/Q+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0\ndHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOy9ebRtV3Xe+Vu7Oc3t733v3tdJr1Ev\nkISaR2fAgAGDiQ2OKZNgJxWXHXu4yvYfVR4ZRYZTdhVVSTnJcCVVlZSbSmzcYYxxhwkxUGD6ThII\nCSQ96fX97ZvTn733WvXHN/c5R7JACk8yz+LMMe64956zz95rN+ebc33zm3O5EAJjG9vYxja2569F\n3+4BjG1sYxvb2J5bGwP92MY2trE9z20M9GMb29jG9jy3MdCPbWxjG9vz3MZAP7axjW1sz3MbA/3Y\nxja2sT3P7TkDeufcm5xzx5xzx51z73yujjO2sY1tbGP75uaeCx29cy4GHgPeAJwH7gXeEUJ4+Fk/\n2NjGNraxje2bWvIc7fclwPEQwkkA59x7gbcCY6Af23eU7d69Oxw+fPjbPYyxPU/t/vvvXwshLD7d\nds8V0B8Azo38fx546TfaeG7WhX1LQATOQZHDzjY4IKDXnIMQwBf6HUWQJuC99hGA4AEHk1PgAmQ5\n9Lr6bGkO8KMHD/os2L4C+DDcyDmI7CpF0XAMRaHfUay/A7Dd0XZxBEkMaaz/iwC9zA7uNDaP/XaD\nlyGBygQUXscBqCUwMwkrG9ovAWpVCF3odaBvJxWhcaep9uM9VCrQz2yMHuKe9pWmkBfQbOq3K8fl\ndB6RnXMUQbDxphXt03vdH4+ukQfqCXQyyDKdx9w0JJE+v7KlMccpUNFnXIA4hn4PfD68L8E98Xd5\nrSjsnqBnJKlBKMB58LHG5JzG7RzkveEzgbd77sPIU/A3Z4cPH+a+++77dhx6bN8B5pw780y2e66A\n/mnNOfdTwE8B7FmC3/w1yJswMQNzu+D3f1UgRIDpWfARNBrQbwCFvRfDocPQbmmfWQd6fahU4Y6j\nkO3AxiVYa5gjQAAaAuAEUt4LqIscsj7k9lME6G1ApwV9B7e9TO83mtBqaWd5R6DZz+Ch0+DbYNhO\nUUAUBES1GCpeAJY7qEWQJdDJ5azyKjAB9TrMHjLgzaHT1bkevRF2mrDchPUGvGQPLM7BvR+HMw14\n0SJsdeDSBrg5WFuHl9wNu2+AZgOOn4C4DQs9+Ac/CA89Bj/6Vvj0Z+A33wftHBInp7NrCnbPgEtg\nuStn0Y2g6MLUHHR3oNvX+WV9AfC1c3BuW9c0qcA9L4AfvAe2N+CXfh+qkR60dB/gIa+A60C2DjWn\naxgKCJH2UZiT9AXUu5AH6HQM9BOYugniDmyfhl4CUQVqFegHOcPpHHo5+ESOpGj8DTzQYxvbVWzP\nFdBfAK4d+f8ae21gIYTfAH4D4JYbXYg9bPch8ZA52H8dnHxUUVoyAe2uRusCEEElgnYPds/DTgV2\n2gLaJECrKaBo57DVUKQZxdpX3ykSjAAXDWcIwQncCydwDha1uhhiD60uTFRgZgIaHYE4Fc0iujlc\naugY5T6jaDiT8ABBkWWqP6kWAqJeV5G224BOJGBye+UAegEiD185D0cWYKsrR7bSg8srsNmAzga8\n8EWwsimHVkQQF7AwC0t1WKjD8QvQAy6dh//vE7C1Bh+dhj/+qM7L1SALuiabLdjpwnRd12m9Ba4O\naR8a25B3dZ2ChxDrd6dtjiKBbgKrLahNwmOnoV6BF90M0zV45BwUfSh60OtB3UMB9DxUa0AusPf2\neup1z5MqpBOQr+saZhfAp7rWlQAhgyiHqKqxuaqAPvKaEXWegwd8bGP722TPFdDfC9zonDuCAP7v\nAz/yDbcOihRToFITzXDrXXD5siLqONE2lSp0jbbxQJLAVhMOXge1KVg9D6uXBGQXz8NEAkndIm8n\nEIxKUHcCChCwBC9HMIj4GaF0Ylg7CXtvgGoi6qDbAWJFoo2+nBNBQD1KN5WypuCNArKZRIEcSEgg\nMtCPPWSngBUIU1C5GUhhtQdvvlYAWjg424bbDkJ7H1y4DO/9Kzmg2UU409J1LDy0O6JHpmqw1oPM\nw0e/DAsVOPkXchTVipxjec5ZUGScNY0GQWDaxyJjO0/nhhTTakt/U9XvM8vw/o9BrwW7ZzUDWN0S\nlRYQGGeJzt1lmhFN7Yb2lmZEDl2gHF2zkOuzcarrGOdQrcJOqgc4BAgVSKah6BhDZPfSwXCaNbax\nfYfacwL0IYTcOfezwIfR1+w3Qwhf/0bbr20L4CdnNKDeNtRr8PJXQ5LCvZ8QhZB1IaQG1og2ePwR\nOPY1aKwpUoyqMLcbarPQSAUWaU0AURg9MGBrC0V+wcC36yErEBgXcipZJLBoN+DRB2D3Xti/B1p1\nWN1RhH1qQw4lZPqcw/IIMZAPHYn3ei0E46kjOSMXKfrsOeinAvx8G6JPKzqtLcAfFvCmW+HIInz+\nElx4HB59EOIK7Dqoa3GmA2SwMAV5Bg+ch/okLE7o3Fu3Q/+MzqmzDEUFepGuQwhGnSAaK0Six46+\nWJx7owHXHhQVdP4inD4HLoci03mEaXAVmM6gksFXHte1rwIXLwt4sfN0DnbWRNm4ABWn65mvQlyX\nc0yDZl+9lqi00rlXalCZ130K3vaLHG+cQyWBiRpMOOjH0MJmX09jzrnfBL4fWAkh3PYU7zvg/wTe\nDLSBHwshfPnp9zy2sX377Tnj6EMIHwI+9Ey2zXOoToqjLjLwmcDgplthahd87UvQ6Im+iYKBsfHf\neUfcfFpR5B/6Av2dvhJ+09MwmehEC4aJ2NgANxtJZPqgbaIY+l7jGkS6FqGvr8KuXaKO5ibg/A40\nMs0u8myYTI7i4azBee079uArI9RREOWQBJhx0KnAitfnJvvi7iOgty7gvRfx1Wun4NGvmNOKIJqA\nsxfkDKOgsW80oTcFC0AjKDcQjPLqZzr/3JKevrDkbSwnMJoUf8ERmJ5SFB5HsHsXLC7Brv2wcgnO\nnDdqbBrqmWZO9DV7cKnuSdYfXg8iS8LGlog2B1Obhv4c1Bdh8zwkdk99MKC22YNzoveKMHROLh4m\nuGs2+8vRs5SkT0q+f2N7N/DvgN/5Bu9/H3Cj/bwU+FW+icBgbGO7MvsShP8IHAH3P6B56rduV0Vl\nbJ7D0h7Y3obNzaFixDtx2K/8XiU021sWyfuh6iX0kOrEQMRFoniSRCCxugZ5BL3C6BIDbm8JWFfy\nzQYckYFf1jSHY2N0bugc1jcV7VZio4Fy0S8lEEWR8fWlbAgBjjNOOzbgGoCVh9wbn70AEzG0K0pK\nZom4cLctWuprX4O1hyE0dd7TkQDXFaI4KrES1ysdqHrY5ZX8jZyuabJLx44sUTlQGQWNYVS9EpDz\narWV92i2odmCfh+mq7B3F+xbsvPKlWD1hXILlRrc80J46VGYmtT7ca59NbblEFLs+tg1ry6Bn9H/\n7b7yAX5EgRSw3Eek/cHwvnknimm+pnxNeT+ShGf0lIcQPgVsfJNN3gr8TpB9AZhzzu17+j2PbWz/\nZRbCOUJ4K/C7wP8K4eeveJ/fNtXNqHX7cM1tsHgQfA1umoHbrhEfvmcfLO2G1bMWyXfFi3sjuhNT\nbHgg7iuS8xZJxxEkPTj3MNR3wcKSPpMa95z3GQBNYbJBYsh6UtZElqAFAUxhypnNdeUB6lXRQkcW\n4dSyIts0hbSqz3g/lH16izpDbpG0G0oGcwftGHwDrlmC1y3BQ+dgpaVZQBwUyb98Qc7nyDyc8rC6\nrXNnGmodyQpDDm4KDuzTTOBUB9ysjr36KBQtSArROy+4BTYuC1Q325ABaaGkc6+nc/7cg3DrzSZh\nTHWN+l1Yb0KjBRsbMFUB2jpG4uDgfqAOx7uw2YO5G2A6gV4F4pPQfUyUVbUumWiwmUS9LoeVNnVd\nCqNnnMlKKwnETq9lpsApnXfFwcIENDPYzGBqVmqfvP2sUfRPJRk+AFx68oajirKDBw8+O0cf23eE\nhbBG8P8CwjKBBEfAub+84of4qgD6iQl4w5uhOgX3HYdT63CkB7UanD0Fxx4WGPgAu2soGWg8chHp\nGnjjZWLjwtNI8kQfFNFvb0jLvrhH2yWxwBeLpgujVaIe9HdM226qlzyI+4/9MOqvOFjehAdW4eBu\nWJqBZZPxlZRwqeZxyTCorGC0AjpGYUnDJECUwv2nNabaBFQngK5yD5M1ySfXG3Dn9bBrEXrLAjMf\nw+kdzTjmZqXa6faVM1g5Be1IEW66ZfmISFy4i2BiAdZPiWqJY+2Pcpbi4NxZmNgNMzNKnPba0OnB\n8oZ0/K0CFizpWZsT7/9oRw6lOic1TacNeSIwryxCdAoqKUzOQXNVzmra6Rp0erpAwa6fswg+qljC\n12oZilyUToHor2pd49/padxZR9d5MtP5/k3aqKLs6NGjzyBDMLaxyUL4vL64BBR6QQjpgFn4Vu2q\nAPq0CudzWP66wKMHfPRx2DcJd14jjjhDkVzbmzLDgCEP0DNKJDIVzIBusS94GRV2G3CpDUvXykHk\nQXx5UQxBJO9A1hatkRutEce69u1cSeKNnnTlJ5sCkVObUDePG9lYwKR+Je0QK38QcskVsQStM4qn\nFZS4DMaRVyaADPqRtOm9FpxrQy+F013Ydw/c9AIpZxqPaHx94MiN0KhLV58uwOQGNC9KjlhJhqqj\nrNDMhACNrhWgGagWua6HcwL2C6dh/TDUetDtQbsNWUtUjKvqPkzsBr8Avgr5Q9Bbg+4KLN0KRV3X\nwAPVviilfgbLy5o9RV4zFZ8aTVN6wZH76Ex6WhQMwR5zvsBMTefVy2GuDnMLcGEHlmbh4l+Lub8l\ne1rJ8NjG9q1YCNsEtnDsBqrgV4Uhhl+O2Ss+xlUB9K02nDiJKi0tAdoELrahfRFuWYAbF2C7Ccs5\nnN+GO/bAvhlobCqiKyLIawaUVXHYcSrZYgkaPpKS5tJpaceTZKh9Dzl0GvDxh2HDOPe5A3DdC+BQ\nB/7qc9DPBfwzC5Clug+x7bvkt4MlWvtGJ+RYZJoreo9i48YNzFyAbkXgR2EplwB1o6Mqpj7JJuQM\nKijKPnMWiOH73wDVF8Lx0zrGZoA0g10TipIf2QPz05KpNlcU7cY5tPrQdTDRgbnD0uOnXZ1L16qJ\nQ0AnswZTKRRT4Fow7WErl6KlnoO/FjYCLH9RwJt4OZVQwMojMLkHdh+ByW0493XVOHSCrnHsNLvK\n0D0IbYvSjbd3xrGXDjxPNP4Q5PBDpCE2MiXgXQadGjTPyims1o3yu3L7APCz1s7jpcB2COHZcSFj\n+461ENbJiz9BT32dOHoTwRt36cs8X37Fx7kqgB6AnqLbKAhEk4ois6gP9y/rC1/rw31nYL2iyO3u\nNszOWCTaByIV7JQtDJK+KIKdMAwQIwS4eRNRQDFUDWzuOw2bfenkybTt0jY8+gi0vKp2s5YSxtUJ\nVYr2vdFGI/RA7gXg5e0JdsMqRpsUhcYQx6Jr4thmKRZtE+T8SloqR0nnqklDg5OEsFfAhz8Gt14n\ndUsamXIoU+6giGBqBvbslsSxtwmV3Lj2OXH10RbceBTO3Ac7xy2q1hDUNiGGdEbbzk1B00Fjxypd\nM8kge4XoH2f3MDX1TxQbyHrYNQk75+RgauV1QY6r52AulvPNeqZWMqdJpNlQXKgwjQZ0Z+w6YOcQ\nK28QRlROeSYKb6dpifqnMefcHwCvAXY7584Dv0SZLw7h15CC7M3AcSSv/G+e+cM9trE9tXl/EfA4\nd4AQLuDz+8EfH+CVUohXStxcJUBf8ugR4pujAqI6xFVFcpO7oZXDV8/BZgyTkwKu08fg+r1w1xGL\nWg2YIg+F9XOpGsA6BEK5F9jW0GuJgdFqF841RCPFHjox5A241IHuEZitw9Q0NE/B2mOQ5Gq9UKkO\n1TajjUCf/L/3DLyNc9aTJhbtEZdcvhPoxYlmD72g45RVtdUccssrEKmfTK8Hly/pPCeROqlwArqi\nIoC8bT+cfkB6eN8UhdRNIW7qQeo4VefijOvO1XKgrAVo7Mhp7j4IIYGWRdhRAbU6rJ4DOnI0wYnv\nB81Sputw6Dq4dREeXIXaZWitQ1QTKPdsZlNksLQA3RZsW/uIKLJCMjdMwLdzcE3dt74bqpx6hR5m\nbzLLKFL0X7eczdNZCOEdT/N+AH7m6fc0trE9Mwsh4FwFfAcfThE6H8fxWWBNfa0GtnXFx7oqgD6J\noT41THbGCexegOsW4YEH4NAsnDoGKxFMzgrg4oqiy0fOwbkVuGkf3HNESTuMty0igcSD5yUtTCNY\nnJHc8PS29pN5ON9QhW1ckWokGNB0coH73C445/XeoZvhll3w2HFYXoelRUWMUaRkr7OIGxBAG0gX\nYehYfGzabgOvKGiszmn8Vds2NxooYHJSB7437AFU5hBWLgB1oCdZaJiFiUiqnXwLPvEFRdJFTxFw\nbMllVyiyXz0Le3ZBcx3e+DrY3IZPfppBA7OeOaBKTW0nFuvi6tOKzQ42NOPyzmZkKLHuYzi0F2aB\nMydFLd16KyxMwn/+CExNwdSE2ixs96HegZsPw6kvCOCT1JLUZSFbivIoFsU7GEhrfaSHOYo1Cywi\nS8xH4v/HNrarybzv0e//Lnn+AA6PK07i+BiOXJRkMQwWndu+4uNdFUDvgLlJkzhmMFOHv/M6uLwK\ns8fhc8sQzUOlI3DyNQFLNRZgZQEeWIb7Lg6La/bMwB37RMe0M8hiRfQTbW2fOJM/dowymhVHHWDQ\nuqDIdbz9KSxm8ODDcO8xOQQXJP9cXYNqqgi9UhXgg25UXtIPWHsFVMpfGL/vnCl/TOeeOXHeRUfc\nc7MNdGDXEvzk2+HAATh4Ddx5p45XmFxzYkIqm8Y2nD8PJy/AY2fhP7wfXn0r3HgE3vvn0r/3C6hP\nwJ4GXNiCyiz0H4RmBOyFP/0Q3H4rXHMATp1WHqPfhUkHtQymY1gOSkZHqair1PoBgcB+ogZuWlTT\n46uQXoCjL4Tf/peK8pcfhevn4dA1cGETLl2CrR1Y24IHV+AnflqdQE88DA89ouPHEUwd1AymmqsI\nLjRNmokpr+x5SivQsZlCMEXV2MZ2NVhRNMnyL9Hv/it88VkczUH32jLfFwIQi4IEDCSuzK4KoPco\nUoyQxv3QQZXct9pGaZjGPPbgzSFUI5NR2sWpGm2ToAhwqwUfe0RURzVVUtMXokTKKxs7dWYsm49F\nTsBBgMTaGXQzgVmWq7ArTobHhGERVd4XuFcnjZ833n7QYtlmK1mu6s3CHEJiXjsE0S5ZC5pdJWxv\nvwXe/jb4we+Dmw7pvLMAjbbGX3HgKuLwJyZhfh5uuV7j3N6A2QI+9xXNEnYtwPHHlSTd2ZZjcE6c\neDwvqWa8LVXPV4+rhUBkz1cIchJ5T20o5iIVNjULUSYTdajlsNbWvWxtQ9SGMKOHtdmBz98Pn7lP\n9RGXeuo6+tgFWF2Ww/rxH4PPfFFjXNmA3dfCnj3Q2YLHz+s5aG4o8e5iCHXd58jUU2W754rTTAij\nfqIwvL9jG9u3w0Lok+WP0e19kDz7AN4/QERHQakJMiIY4FIAUySgf/zKFY/hqgD64KG5DfUZ2DcH\nt9wMvaaKcfwUJJdNbz6rStm0YonNEYokMOS6PQYGEdSN4ii7XvpclE3wQE3a7ziBdkBtDiNLigZF\nv82mSvaJYHZWkXRtHno74LvWcE1DUG/3NoPEbGS0QrAZRG50QmHeunAaWzB6om26/xuvg1e+FP63\nX5C0tNWCC1az6U0qGhhO71ysMXZj2ERJ0UoKP/9z8PZLcOqkGr5trsO7/y/NAv7uPx7mMKJCNQRJ\nA+JJSTUbTh00Q2ZKnYrGmzlJYPHqi99pi2bZN6tI/tQqvP61cPEiPHJKLRcqXpLVn/tFOHwArjkE\nf/c1kK7o2Y4CvPglsHQNnDwOJx+H48uSYO7bC5d2oNUDMstpGA2X2z2PsaZypeLJuP3ghzOssY3t\n22W9/kdod3+HLP8wzjdx5SIJI/JrYIBjhv/DYkGuXDZ2VQA9DqYWYP8c3P5C2FmG4xdhx1sPm93i\nl/ubcPvtapewZwre/x7otyBUxQkXFuW7hrZPjS93VtEaBUn/APoLMBNDSE3uuCGQdVaIc/BauPt2\ntSTOula0E6QJn1yA+cPqDrn1kHjgUoPuSx24Tou0rv+buZwTzhxETTOGRgve+Hp4x9vgdd8N85Ow\n07JFUwpoNeQkosSmd6BoNR7q/x3D6NsFIJWMtOjC/B6Y3gWveI0qXts9jaezIknrf/0z8NBDsHuf\nKLHulp2DUzfI9oqkopOJyRlztWVobMDBGwXAUQ/mD8KRabgngcl5uHYv3H0L/N5HjDJbhG4bzp+A\nc6fhsx/TbGjvErzwBvjIB+GWu+DWW+Ceu+CDH4YLdfi1P5YTrKdKkIdcVH0WRBk5rNLYul32vPXW\nsQZ2We9v4Pkd29i+gYUQyPIHyPKHCXlHfDxDQPcMKZuyFUiJ9CHouSbae8XjuCqAPgKmElEDjx+D\nxUVoZTAVpPDIGyplf9ESvOQl8nQXTqn0fr2jpB2IophItdoR9gXPYqlIwNoQeP2kLemtQ1UKFfrD\nlreZg1uPqHnX5kmoTFoi0yk6zfuigJyBfqelG/Lk6LEo1FWx7FRZ3s8ih9aGjvXe34M3v1YOrdlQ\n5WthxVRJFSqFgC03J1KurlWuCOUYUhMlBRRjCeFEYFoxyel2qaQBLl1WN8r/9HsC6XhSRUaTU7B+\nHvyOpI+tALfMwo2LBqhBznSzIe597yLku2B2Ssqoos8gQTozCQfm4PxlyKckW40yzWLSRA7jzGXV\nR1yzCCcvwnXX6X62W3D8Mc1OYuvnFEfDGVKW2RTXevv4QvcHk6/6XOe/az9snX9WH9exje0Zm3OO\nyM0TiguaHlsEPxq5/zVqsYzy7XmGe654HFfFxDayUDWdlkC57dUJ0XUFzukm3LYAr3qF6djPqR/O\nT/6AgCW09HrRUIvjqGx4hSK7gZf09hMgainpmViE64NtGwRGc3OSYCYVmNkDOxFkVYFub1pa/76H\n5LBWPKpMD6maspKzlHMWpsope7h3WjA5Af/qn8Obv0cNw9ZWLdpGypxKIocUORtbNKLosVmK4T2x\nMxC04q/ctOtRqg18GUKYlU3hVpaVmP2Fn4etZdjZUnKbSdFWWQHTM1Bd1AyEjq5VJShJe/kykMPZ\nc7C+IXVLyGH/ASWIfYCX3Q6HD0I0A7290N0HxcywM2iawmZTyeNzZ+BTn4AP/Wc49ogoK5cwaBxX\nCQz6D3ULK5Kr2r5MaeUd3HUH3Ha3WjT/vR9W/mJsY/t2WAiByN0MxY6Sq4ZDzmumin0XB1LsMAwI\nB10Q+t+ww/szNhdGxd7fJpve7cINr5GK5YZrlfi7vDxsDRxfgGuug7MrcPcu+P6XCID2LcH1PyiJ\nXyUVGJZFNlmkBl3lakhllBuHYVOxCgY6fYia1uvGEravvx3yCejOSR1yoA6//nvABMxEAvl2C/Id\n08Un0vcXE1BsA9ZgrTxWNSi53OvAow/BNftgzXh3FwTQcWLnwFD1U07nnBMnX94tHwTEUaHiKIL1\n8u8q+k9igX9sBVmR8fjOuGxvx/Q5TMZatOQ/vBt++ldgz7T2t3sCjm1CpQnfexBaTguIbHdg6zbw\nHZhrqAp1fgb274Vd8yrSmqrD3TfD5x/UudRtPFs5rLfhwTPQvATNLclSC6/FRA4fgLtvUJK5XoX3\nfNyWCKzoGleqVmxWV6K99TjEXaBiyeVYNM9Nd6gb6AP3QdSB5s63Z83Yo0ePhvGasd95FkJBr/8F\net2P0e1+Ft//iILAMAzQSuVdKcFO7LsejbymepLduAOrT3kc59z9IYSjTzeeq4K6CShCrNoKQhfX\n5MiiWOqN2TrgTI1xsyK1VlcdFw8twenLlnx1w0SlswivXDg7j1QVWlgmO/IChTQxxQyq9Mwtgq5N\nQGUJ3Bw8dhE+v6woP8uk/gjoxnSM8w+51i110+rCmF2Qw3KpbmbD+ub/0H8Fe/ZaBBwUjUcWwZd9\nbpxV1paAX07tDKOHDb/KCN/Ot4j0fhKUBA223B5WROZK+ihSIZUrNJvs5OA34B/+CHz6fvjkF4Bp\nNXJJNy2aB0hNr55DrYB2HVYjuP5aePxROL0MRw7Aq47KWfQze8CCHO7SLOxLNKN44W6N5WuPwco2\nHD+rnjuPn4G7bhL/HoJVA3vNFuIqJFPmxFIVhCW7oNiSdr5s2VA04bEvQFET7eeenRYIYxvbM7Zu\n9zPs7PwyWf8hgr/wBFAPDAM6N5KQHdCyT469i50rHs9VQd04YDrVknfNhhbgJgff11J3l7bgwUfg\n7Bl44a2QTklV4VL44Tdq2yxTdFuUUjtTuLicQfdCFwkECzfkyPqZdNmhlBJ6tbvd6EKnCrVUhUdZ\ngNlrYWqvALnbUYI0wSoyIyUb/TmtDuVnNKtILNLOWvCOH4X/+O+hvWNcuhvSViEZ0j1RbG0RLIEM\nehgKhjROFDQ7cYUi/bKKFPs7WDRf9sUvsERuqc2NGbRJBiWAL1yA3/rX8O/+F9FfG8e0z6oVL4W+\nouUiaBHxw/MqVHvl98OLjkqJ9Ohx2N7ReFfWlaSeiG19AZtdRR6O7IdrD8CBPXDDNfCaO+EVt8Mt\nBzXzqaVqnubQbMAF6G5DexX8JiQ7urf1vUrWOzvnyFuCPYBv6bqGq+IpH9t3ihXFBo3Gb9HtPIAv\nLgyoGqztdvAKDEPZ88ronBAYtrY1+lWRXf+Kx3RVRPQRKpS66Qh87lFFo9WO6aTn1et9/xwc3AX/\n6TPwtterVL/Tg//9l+G/+2l4zQ/LIVQAnEC+twh+W6oQnFWfBkkuO/blr+zomla9Gm1NTcAdB+ET\nDag+BBN9gWmvgM0TUJ+GPbdDtAGXz8DUft24yRg2zknjPpPA/ldB62G4cFwOYN1mXu2GwLySSOaJ\nJZKD5QewSllvyVjfRT3ba1bRag+BzxiurmQtm5Mgbj0ykK/a3fU2Y/FeoB/FEDpyiHFqVEim2c2l\nLbjjNjj2UfiDP4ef/KcwHYANVdHGLX3+xbeLevquW+HeE1DdpermEMP7/hzuPwBv/C5YtdW3Kg5m\nUt03V4VPHRcFtncfpNuwsnoAfTwAACAASURBVAJLE1qmsayQXl1Xj6GKPSN5EFXWjmAbCBeH3KYL\nOnZwMBG0mHhaUeVzY/05f4THNjYAvO/Qav0JWf9x8JcHCVdgIJ+0PxXkBZ6wzRO2Ly26stWl4CqJ\n6OMIXnEnPHzckpWxJahjdXlo91Xp2K3A5o6SmWmiCtNzZxX9/YO3itMepBwWgLrAvVSpRGFYQFMq\nVp7Qn8bDDXukra/Ftlh5MgRdppWsXG7AxS6QwsS1sLAPbr7Lou8ImpvQvwgXTgrkX3SX9tNq240s\nx2TTNFfKqRj+Lnu4OFPPlHKrUt8fzCE4SySHyIA7ssSsPUA+HzZHw2Y6FEpyOkvsRoXeT2Jd/z5w\ncVmJ4n5bQJ1Ma4bRKSRh3NyRZv4rJ2B9W/LYl78cDr0Y9i3ChUvw6a9Jp593VcB2clkKmwsb0N6W\nE2vYrLRsKV0Em9F4aHXUsqFc5jGyZ8UHy19kcnKux0Cy5oIcaBGUCK9VeIpvztjG9uxbCIFO56/Y\n2fl9st7nhC1GE7syYrcfX37vw5C+GYhGRl4DwB++4rFdFUA/NwtHb1FjsWoKNa9GW0RqttXPJJmc\nDnDsInzmq4r6r1mC2QmYn4O3vd305hjgTgMdK423ixdsn/1YUWIaTK5XJvFq+mm34S13wI++At58\nFA7tVtVpbR7iaSUeJ1Ko7ZLcsleowKhSUVI4ieHSQ9Btit/+N78COw2r2rWE60Cdw/D/yMm5OHuv\nsAU4fDBO3Q/BDKOmyn45OAg9NWUbLL1n6qPElCuRG3F0YZj8KUya6LG+MAX0OwLjhUXRH/WKJKZt\np1YMJ5a1v2ZDNBYpTO5VX/jkDjVAW1uFeqTeQhOWTD65DCdXRNOliKa7tGrnYo7YJxpTL1NuJTPa\nKgm2glgYcYIwnK1heRNzhM4zWC5xbGN7rq3fO8b66rvodT4xwJySgvElZTOi/Cv8MHjDvsuufN8P\nX8MduuKxXRXUTbcLH/qERemRkm49K/Ove4EvwHwd1nvw4c8runzDi1Xo0wQeOa7l8daaognChiiP\nJNf1ikxmGBkouojBBc+dwOTGGTh3AbZ7cM9RtSFezWA+Eb3RTZUInktgPYNo0kAzhbUdmNglFUnh\ntf7tvkX4n/4pvPhGJY7TinW7tEKfMnFc8vTe+LpQzkxyc1QOyCxyL2wiUGg7F1kbBltRKp60aL9c\nZCQaJm8H1XgwrCAO5ggskg62JGCWS6XzltfCvR9TU7OQq3cawFpD12HNpI+XezBZQL0HawFqB5TI\nJahPTkjkAIMX5VZJRcVUJ9QgbSqB6YrJJz2Dds5l0UjsrPPok54dN5AvyOlOTagVQ5m3GOdhx/Y3\nZY2d3yTrfhEYTiLL3Gr5nbNJtAQX5XYjM07vGCysNJTYta54bFcF0G814MRl8dCJRfVJXRzzxbbo\nkkYPttuwf16Jw/f8BfzWH4rOuf1GJQbnr4figvrFh60hPVP2k0iddazEKB2vvvYxcNteOLHKYNWi\nP/0gvO6l6kV//zm4+254/KvqZfPj/wiKF8G118JjJ+GzJ+HsNnz9vHINb3glvPcPpPvuNEV/VDy4\nDrTWJLEsEMD6zgjtUIWFQ9KWh64knLlF73luOZncerlY752kqp/cqJqosBbIhXXKjDSm0sqCo1BK\nuAwovdf+olScPkHR/b/9JfiTe+D9vyMHVYlEqdRjXYt+A0IVNpfhoQ7cVoN0Q4VWbgbuOwd3z1lT\nuUJ1EiEoH1JU5AzXc7juILziKDz0GFx/GIjhsXVILwvcM4twgjUrAyuAs3s8lWj2sDClXkER0OvD\nVPUqmbaO7Xlr3nu2t9/D+tq/Hkgn7Ws7+KcE+9G+WgPO3r6PoQxETWlWUrr4K1fdXBVAn9g3MQ36\n8lKBpKMIsuEhaQvc+pOwvCNJZb0m3rdWUZOwxMFb3gCf+jLc90UlYHME4hHDSL4fjNcNSgx+7wtg\nfUtA0kP0QLWq63t5BW7aDZfWRCP8w7fAW18Gd99m3SKb8LKb4YdzOLEOb/skvOBO+MP3w/xu2Dxr\nCUKjZmKnwqEoYrDuqasauHotF7hywlo2O2nHI1PhZNbuoOhb8rovmiayKNcmBfgCQsXUJxWkwrHp\n4SDR4xTx5/kQBGNT4ZTRcxxpppJn8LrXwoNf1k8XSGd1Pv2e+s33LGyuO7WY6OxAmNS+zzm4Ieg+\n9a2jZ+J07IlYTv5r5+FPPgzXfgjusfqFi2c0qwsBKjGDpR3LiuCypUXZf/7mQ1L7XFiXg4q8HAlh\n+OUa29ieC9va+DVWLv/MIDB/wuM2knMrp6POjczkYcQL2P/5yH4iYOJlVzzGqwLoiwDbXZiyE00q\nUAtKCmaZJHpzdUn8rjukQqn1dYhXFb011uBrG1LonDspAJ2MVTCVFVKmeKME8gC3TKl18cSCVB6r\n23B6VcCRVpQzCBXYdS28/A4Iu+FlL4JX3yng2e6IZqpNQCOXbv7FN8On/hj23ATzC9BcE8gndlNT\nBMIuUgQegtaFbVkf/Fqs88sK9ZTvG/0SkCOLJgXCkddz4Kwoqlx60Tv9j2npS3DLLQ/xZKxzmTV3\nQ87N54r8SyeUVGx8tsj2bXfBVz8vh5jMwt4aLMzA0n44/RiDFbVCV7RZWlcU38jhYh+uq+v91Ouh\nm8jkwD7+OHztNODh0RNw/iKcPQtLUzBfs8VXMgbebDAlNj4/MQ9XWJ1Atw3pXuVG9u6H1SsvKhzb\n2J7SQgisLv8K6yv/BBhG6fAkFY3xN/Hgc7aBH9kIKNdCZuTlyM3C/H97xWO9KoA+FGpOtpmLEogS\nCKkWCTmYwMKdsHQQ8hb88fuhFwGJ+qvsndOiGls9qKzB0bvgzBwcexTm92r5v0uPKIKsp3DPQZjP\n4dEurBfwl2dhO0C+CAseDk4rOjzRUsQ/OwF/742wNKeuiBRKTPoArq4cQOah04ebvkuR+c623k+M\niy+C6JDEHE5cU5EWOczOKcnpPbgKuK66eDrjvssEqjf5Y78Q8DkrKHKJQDYq5DBCGCZ4Qza8waFU\n+CCHEayQy+caH041C3mQ1DREGmO7paj+tuu1lm6IYLYC7UK95Nc3tNITidYUaBZQtFXNPHkAOgk8\n3FIDuaLCYPnAfhU+fgk2TsFEDqTD6/OlE9quWoHpms5vEo21Z4VRkRMFV1I3X39U99g7uOmVaj+9\nZwaWT4K/8gV6xja2v2Zbmx9g7bKB/FO8H8AAwPJxfsQBjHiCQRA2+r5JwUM0iYsXr3isVwV96SJ9\nMQtnUWGi5N++G+GWOYhn4JFj8JV7FSVPTEJ9D1x3h7pJNjMlU8+f1ueP3iyaZ2kPXL8kEAwBtjrw\n6cfhbAyXJ6AxAWsR5KnaH7Qn4UKAhzbV3+aHXq5lCpfm0UIAhaLuspo1daJPqqlojgRt4yyxGZnk\nkWA32g2TnlHFHFrQviMUnVZTBitc4YYFYD6YOiYSuD9BSWJURTAHEDvRQc4Iw3KaWMpKMWllsKx+\nFJvDMNlnSNQGokx+djPJQ+OeaKWla+B774A9c+DrcGAS5rA2E2h/RVeFTWkCjRTO9S3ZbAnnxz20\nVpVsx44TEuUtUqu8zXvq5rk0qyRw8EMus7DpLcEUDYm1jI7UMC7JtGrY/PyTrtU3ew6de5Nz7phz\n7rhz7p1P8f5B59xfOee+4px70Dn35mf8kI/teWEheLrdx2g1v8TFM/9ksM5E+XtUYUOptCmFEyP7\nKWtmykKqJ88EBiXwRQBX40rt6ojobcqSGnecZTC5S0vOPbwGpy8CG3BxSyDfjwSIu+bgkUcFcN0+\nRBnUepI/uqqKl2qxIsN+T7zz5CIcy6BbR43UtozHrwN9WI/0ufWHYfkuuPlGmJuxbpMo0ekZavOr\nFf2dzOuGJpEop+CHS/6VPHHZtqAYTYLCoE1BsFmAD0MqoqyMLWsEHHIqGPC7SOBY9tyPLRdAucBK\nuf/yWlsEPND0Wg6g7KNTUkHlOBKToroIdvpQ7cLcPKw34fFz4CbklHM0U0ljUUEOtXyox3IyKwUc\nRvusRLCyNqSPfGQOzENlRouYY4nWZh9CRzLOaHJ4TiHlCb28B87Mq4cOFV2DPTGsxTytOedi4N8D\nbwDOA/c65z4QQnh4ZLN/BrwvhPCrzrkXoAXDDz/93sf2fLFO+6usr/8uOzufoygel8y3jMRHn0fL\nxpZaecJQ/TfIlfknAbsFMYO8Urlh9xGoXFlUf1UAPaZ3Tm363mzBkT3wuU+oqrHVgK1IEXe0KjWO\ni9VHPb0osNm9COEAfHwZPnwJdh+QGuRcFxp9WNwHe26E82umCMkh7gvki2kghegcVKYE0B/+P2DP\nktrxdvNhwzEMgNVURsA1s2+YuASpdnyQF/clmBcjORdLjpa95INF/M5bAtaSjFXTk+feZgrO9OOF\nItjg9eDkmcaXxAyKtrCioZI+8m7oBPKCwcpdDluPNQy5/sHDm2jx77SmyPxd/wy+eh7uvgve+2cQ\n72hpv8XD+vzFLZjp2UOVCMgnapqt5V738GAEa9OwcVp9a/oO0o7GmgKdLlT2Q3dV+8y89da3NW4j\n9Jl48G3R36UTrdWhfQF2LuraTS4y6NX/NPYS4HgI4SSAc+69wFuBUaAPwIz9PQtcfMbP+Nj+1luW\nbXDp0j+nsf1xgt8cru3KMIAqLTASmA1eMPrG+PlR6WX5z4DeKWf/yRS0PgMz331FY78qgD5YlBc7\n9Y6vJ5rWz09AJ1XvmeaygGP+sJKztSloJjB5BKo1SBbEDydhKKHcyWBmFyQTcMed8EhXnRMrk1ZW\nb5FvdRv8pPHetp7rvgOwvWXFSL0hjx1hBTtBicf6ouSfRcYQLINAiQCh7BhZOgdsWufs+H44Q0sY\nLgiemkcfALXp4g3D1Y/diQLCWQfOWDUIGC0TlwqVUpaDQL6cFZZjDflIwnZ0nBgdE6mT6Jv+Dryi\nBes78PZXwcPXwKWmkrNnl9VxdGvN+sc7U9k0IFrQ+eQ1UUqdqq2n66wGIFUjsjjRsWPrIIo5MF9e\nmzL/YOPKy+g+qLCqas3OcpPOguibZ0jdHADOjfx/Hnjpk7b5n4GPOOd+DqUNXv9UO3LO/RTwUwAH\nDx58Rgcf29VtIQTW195NY/vT+GJTnHeJ0mHkuzMSkY9+74DhinDhr89GS7wYbWDoHIT8Mi5cOUxf\n0R6cc6eBBmKZ8hDCUefcAvCHaEp7Gnh7CGHzm+0nciqgcbEomNsPwoWzku5VErhuj77Al/owtwcu\n70iH7QG3oAUvaEgtgyURS6qk5pTw3GxqRajKtNQ4DgFM5nXc1AM1yTvvOqAot9c3ALaumiDgTxhO\nydIZA0yL2IPTTYu9VXR648D9sILVAVEuIC6w58Oi80GEYJx+YgDvLPkYBeUpKumw71FiiNzvKPns\nbBaRWN6jjDZ8xmB66MMQ7J+wYIofoUGCZg5pbFx9R+PZtxeuuxZ+oKK2yP/mz+DEJchWVVxWlnPH\nTk3IpibFsWeJ+tSc37CmbWgmF8fGzdsSgXGAl9wprv5TXxgMC2+9bJyzz3rLg1i7ClKGWSdzIltN\nFX89S/YO4N0hhF9xzr0c+F3n3G0hlE+HLITwG8BvgNoUP2tHH9u3xUIIrK3+DsuX/i0+W7HX9F5J\nsQTQd8cN6Zky4BrIKGEQDFqMp9mz8fXwxJmBiyII87hnoYfHsxHRvzaEsDby/zuBj4UQftkSWu8E\n/sdvtoOy58pkHy6uw+S1cPkipPulpPjwjvjexMHWJX1mriYgmair2jR3Apu5STkIvwPxvKL6vVOa\nys/V4Nq6PNPltiLZ6rwoozzAzAwQqain39RNSA1881LbWmrgUR/0uK5eLq7k2DwE60WPFwiXXeri\nkpfPLAoNDJY6dI7hGrhoXy5GXHUO1T0wWWFQVZsXJtfMIe/IueVd2LqsvjP1RUX9A3rIZKaDkuti\nmGcoF9bGySmVK1nFqSVkbSYRJhgkjroFFA3lKD7yJQibsC+So/ZYniHAbAYTl3TvLjfhTCZKaKYi\nCsZV9BDW6zpeM4NX3QWHboXT5+DH7xKgL1+Cj/6pXddEeZDKrArOQpCDKJNhpczNA8WTE9ff2C4A\n1478f429Nmo/AbwJIITweedcDdgNXPnqzWO7aq3XO8HK5V8n66ozYQSDuhQYRuEDOr6MzE0EEiKG\nLcLtQ4MAqyzdHn1GPcarTkPlGnGZV2jPBXXzVuA19vdvA5/gaYDeo77j68uK1Gbn4Z47VbV670UB\namqSxtSpp0wapEd/0RGt1tTqiMsnQNSAzW0Iq6IAfAH9VAtZLO4CdxHCJPQSRfyZAe5koghzbUPc\ncjPnCUUO5YIdURBwVoyyCcUQQAftR+1GD9qPFgIgb/sMdoOj1ADbOPGyOVlZ4BWh+x1NGG1jHHvZ\nKyfEyg+kFklkO7CziQqx6iP8NcMH0KFIffQ1GMw6B7xiuRB5VDqkkYg669ql8dBchUUH57dhalpO\nsSiUOJ+cFO0TxcbVR9ZhNFcAHld0Xo1c6wWkEaSTcOqsIh0faQZXm4G774SLl2F1Q43VklmL1vsa\nV2DkBOxaBTekeJ7G7gVudM4dQQD/94EfedI2Z4HXAe92zt2KFiF76hUhxva8sDzfYW3lfbQbD6Fy\nQYvSyw3cyHeo5OExnC5B3TPIy5XVri4MqZxyPwPljW0TanuJZt8I82+54vO4UnllQJzl/cZLAuwJ\nIVjczWVgz9PtJHZqWXuxA+0E/nIF6nPwwEWBRxopGVhNYX4Kbt0H0xNS1ExNiD6ggH2zUAVWN6Fz\nDlqXgFVY3oLtVbhwAu7/CmztSBa5ay9cMw9LicklE/VeiStqjJUYxZHn8r5xxdQhBbi+9O4Y0JMj\neaO3wohCSdKySVjZwwYDpnhEWlWuY1tKsGKLTKup2u0mM8Pe9GVDr8SSr3EsHjtOrciprvFuXlSV\nKulwOkmkBytyw2i+bFscxwbqJgstI3xnAB+NVOkG5FjioHO8dRZOPgIbWzA9q5nE3n1w+x0C9uAs\nAW777I84jsz+d2XL7QAXN+UQb75eXTJ3NqG5DdX9cOAFsGu3rg+pOo2WtNagWdQo2Aee0cQ3hJAD\nPwt8GHgEqWu+7px7l3Ou/Kb9PPCTzrmvAn8A/Fi4GpZoG9tzYiEULF/+LVYuvwdfNPU9f6rGY55B\nn6oBDZONbBtGfhhSmzqGvW77KfcdQkFIb8Tt++/VSfEK7Uoj+leGEC4455aAjzrnHh19M4QQnHNP\n+UUYTVjV6lo9KvGwA6ychewiPPS4LZOXiif3wK4FUSzLW1Jo+L6Sg90C2iuwvqZEbln0U1h7hGpk\n/fy34Fwbqi2YXAG3R90VZ7yolCLTerCbm7AwrfVrI5MM9jNLGAdF0ZUJ03ObDrxcOLsIisjL1gMl\nAAW78UW50Im3ro1+mMB1FsUTQXXOIuvwROAtKaJyQZU4UYQeG30xYZ0mN87D5JzW4nUV5SbKmUeZ\nLBrwhZ4nuH0XWSI2DKP/ImMg4QxB96vv1aPmj9+ve1SvwNGXwuHDWimsnMr2Cs1E8kTnXKSqfvbI\nMVUN+DuFFii/9RbYdnDqtOUcqnDhDNRq4GYgWreOlVNAQ89BGWlVYihiJXWfQJ4/jYUQPoQkk6Ov\n/eLI3w8Dr/gv2OXY/pZZCJ4QCrzvsrbyR1w4+8sU/ZUhb15G7Axp3MF79rCVOdkBVTMSaZR/lnTp\nINK3D46uHUv3HKy+H3a/FdKFKzqvKwL6EMIF+73inPtTJFFbds7tCyFccs7t4xvwl6MJq6ldLtSn\noLMFh2KYX4JPfAGq0wLYbl8rGu2ehqiArK+ViaYnoTYLR6+BBx+Dzx5TkrMalPhLgjjqOFbyNsL6\ntRfgG7C5Bd0z8LKj8MpbFQ03tmF5A371j+AX/rHArEBOI60q6o4dRDVwpr0PKEL1hcA6CrrpZTTv\nCgg9fbawKD8quzkab17ux9Wgfh3Ec5bgtQQPMJzyMSyAikxqGnsD+4o+5/tAptxGe0sdQidmYGa/\n8hpZJnD39nAmka3NGhg8cGUxV7lNZNfTByV5M7sXP/r98Bcfgb/6GEzMw0qAz35R55lbbqIC+BrE\nbe0nNWVU8GqXMDUD/QQO7IJ7XgT3PwhfO2VONcDyaV3/RhM6HdE+RVCeYGYatlblMLLEVgwLJsO8\nkgd8bN9R1ustc+nSb1MUTeq16+h1H8NnLQJ+IL4YRK1GtYRSTQFPWP8VbPZd5uCiJ9InAxqntJFm\nfQFwLsbVbsMRoPlVmH/tFZ3btwz0zrlJIAohNOzv7wXeBXwA+EfAL9vvP3/6fUFm/V4aLSiOwVIK\nG319WSupOPhuAYcXRd9UqqI1fAe+eAIev6iINRqZIsGQoy5bAceZtml2xc1/9oNwwwFRE7nXOq9Z\nS0C1s2ktko0v9+Y0BolX4+JdNKRvsMRqGF0Yw9oC+D6EviVITQboLPdAS4BY3adFPgqLUI1xGSzm\nXa4rC3Jaual9RtegLIxX9053ODWntHUJWlswuST1kks0Pl8MygJwybAP/qDgqoz+sXPPLS+R6e94\nCn70B+G+L0NRg7NftrwLGkuw+7CwG7I5OZ28Jdpmz144cL0cTbdQq+JHH4ETF6WIqvZhp6M1BFKr\n4PVN9cCpO4F+Y0I1Bz7X692gytrIMVgicmxj+2YWguf8+f+Hrc1PUvgW+IxqZYnCN55YDFUCeUnD\nMPyeegxn3F/fblSyHMr/3fA760b2rb8L6BzHd68nmrztis/vSiL6PcCfOmUTEuA9IYS/dM7dC7zP\nOfcTwBng7U+7pwCtTL3evVVfvvxGJeEubKtHSn1CpfjtDBoZLE6oy+TaZVhpQjRrHjQdTuG9G3rN\nyDhy57QIyMw8/Mt3wfU3qLFY3mGwWHdSg7tfDN2WgVQ8vAFRsCjaOPOyxNnZ3yU1Qy7euSz7z0yE\nWhYjFX0B9/Q14JcgXxZdNbFH24XCZhLmOAYe32YBWP6gXKQEcwIFVrCVarvIFt5IghKavguNy9Bb\n04xpctHaItt1KmBQSTuoCTBnGYyiItZMJzdOv9mEV78YbrkOHvyqBOYFOod+LBCfW1Tvodgp8m5l\nmhUs7oYZa0NdjQTey2ui2+arcvxVW4IwMWpsZh4ma6qina/DThuW6nDmHCybPLVwQ4no2MbWz7ZY\nWf8YhW+ze/7VTNYPAgL4RuNBLl16D+vrHyTrrxE5R5G36DW/PlTrDkj14U8Yfb00A4oByBslWgZO\no4Beri0x7Hb2xP2E1jnYMw9Td17x+X/LQG8VhC96itfXkTLhGVtuYLkwD901ONaEztelgjm0Gw4e\n0YLa83vhB96mpeviPrRa8MlHoLIAtZaBsAFieQOKMqFoN2arBR/5E3j9K9SQa6ttHDwC5cRBHsPE\nhGYS3aaAM60o+i1yo3/ckJd33gA5YyCvDBnQ04wDay5WKl5ibz3lUQScA25e666ePaGlEUMkzts5\nS7haMRBBBVoBlFyNsDUPteBKEUtlEsW6FsHaG3jbh7dOkK0mNDa14PaBmwXkhUMOCh2n7I9dlNGL\nM4mok8MNhYC31YT5afjFn4GffCcwpeNPz8Ou/Tp2EmnB9XoKUylMzarAKQtqOZF42DcJa5kc9FxV\njeL8vK5rkuhYCxH4BHbNwIFZHaPRhPd9GIoDUN1QxJ+Z/j++KkoCx/bttBACpy+8m2bzEWq1/RRF\nh8MHfpwoStjY/DQXL/w27c7jOOr4ooH3nogq3hdDusUozUGhVGDQumXw/ujMt/ycFSC6chPLwTmj\nkkcbnUUjH5SKp0lgimdjzdir4mvgYNAuYAfoz0Ijhm4M0RZkX4e5OUin4OsPww1HJN97zyckeCov\ndsWAtGB4YqMrtXR7MFmF1303rK4JOJIRnXVsfHhkNzSNNcPotRQZV5yAw5X7dSM32hQ05MbJBfHX\nzqL7xBmVUsiRhIo58hmgKdrBO/HQPhfADnadCGxjpAzyLaNTUlPPxJBti96a2W+5iTDk9qPU8gRO\nTsp7SLomO4yGOQb8sDFZWbnr7fegQASGHS/Rxmmia3vzDeoNtNWHhWvV+2Z+Ti0oXA/aRgl1bbbT\nQOfZzmD3lFbtWu0od9HrQ9fbDK2ihHnDktgzdV2nXqrF27/8BY29UoFQl3NO8mFO5slB19i+s6zX\nX2a78SD9bJ1m5wRzM/cAgRAC7dajpOk8NX+AzeYnCbmDUOBdm5gIT0Fc0qMlEJdUSyGwd+j7BQza\nimCbDtQAI5z+oLkgDKN++3PwpY8mcLX9qGLkyu3qAHonUPAeZmMtDh7thXgGDtdgXwLnjsGpr2tF\no7WbtGDFmXOwUZPDSwoGzbEii7Bza6hVgn+ewbveCRtrchTAoCrUGYiU9Eu5AlNtUpx9YeBZiXVT\nI5MjDm5USdKVEX4BSX9434pSOtWHiTdCv6tEadGWg0lsfNEIgGLAWC4ETqT91GJoNyzKr4qC8Uhb\nvrMCs7tM+WMPky+vcSzgDta7p1LV+1k+jFS8gf9Abx/BaN1nbknm2MZbRje9rmZk7/gh+PXfgzuv\ng7NtvT4ZQTuGiTmIevpIkaloKknU+GyhD5eWIe1DfBCiSajUGMjPklh9+WOve9bKxfN/8T44d0La\ne7oaf1LeDxg2nBrb896yvEUIOWkygxvhVEIoCL6g0z5P4TtM1m7CuQjnHLXaYfrZOo3GgxR5g8iH\nwfPuojqE5uBLPOgFBYOHqtTIDzTzxXC2DQzklsE+Xy6a8wRnUM4QXIlHCaTzUL0GN/+qZ+XaXBVA\nH/VhsacFtv2E+qh0C63s1PHgd8PLXygg+d3/Fy4e0yLU91wjCeKJi3DeQWu/uO7apECoGoY95NtN\n+KPfgre8GVZXTBdvXLcLqBNo1yiCWFFrhiSU9QChYQlOb87E6JPR8ubCEpUu0zl5i8ILpyRwfBMk\n14vaKffhraq1LLxyQS1+XY6mimUBVQVCC6iAr9iKTesadxYJuOs1aGzAZhdmdlviMhq2YYixjpcB\n3DQkk5Jhbl4QNTWz5BdrjAAAIABJREFUoPMvMIWNRS5JJF7dlTp/1MfGVYGyx04E7T68483wi/83\nfODzcPv1GseRAypgy5rqWtnJ4e7boZbBycfgKw/B8W2tL5ABcznE+zWGibokl7Fd93oFOi0V0x37\nEqws2wpUPag0dL61kie19gpjmv75b432GS6s/CXgmaofptdboSja7Nn1PUxPXUfwGd73SeMZ+p1L\nrK5+nGp1kbm5V5BlDfLOB4h8BRf6BF8WRrWGyVFGnqMyiVrmgUr5NEbJxyMOgCG9G418drCPcscj\nzAPpPMy9BnfjLxFN3fisXJ+rAuiTCPYswMG9sHoGOg043YSNTXj17bDnIMxNQGMHHguwWNNF65yH\nF07CzYswuQoPHBCFULR1A+IY4glYvwSvegl8z6utWCoeoTXMw/qgG+QtWVouFOC9mqD1m+YYSi26\nZ7C+I0HUhLMk6qh429tNjJfAHbKqVksM+56SshQI4Xr2mY5ec/FIwsccVgCKGfH16UGbMm5K++9s\nce1OQ9d0cgmpYpzOI4yodSJbZpCgZmO9HrTWNd65Q9ZUzGY2vi/HF1A0701tFDGMUiLjJ3da8Obv\ng4d2JLVc3wT6aj9xaLf6w88vqAHaxz8CD39V6pvZmqqXSaG3reUKu1U57GBT5KlCqhqXwIS3rpvm\nAHIP7Z7GWy+/nQHrGf2sP7Jju8psfet+0nSayFU4dubXiEno9ZY5f+nPuO7gj1NNl4j/f/beNNiy\n7Krv/O19zrnzfS/fezlPlZlVmaUqVZVKUmmWLAaJyYDaDaiBaEwbG8K0RbcDtxua6MAE0R/sL20I\nQ9Nggw1taEOAEYqSQICERiQkValUU2ZVTpXzm6c733P23v1hrX3ufVlCKlRZRKLOHZH53rv33HvP\nPcMa/uu//osGxWjAVu+LXL78W6Rpg8RU2Vr7OP3eRULokJmJgQ7Rek/h7EBZcI2R+LQzAIVezdRr\nItAfC7nsjOrjU9IROwvZYYxtYyq7b9nxuS0MvTEwvw/e+k1w7Vn4lf8bqqfgTa+G198PPT2on38a\nwlAUKYtZuLYMB8/J3/tTOFiDs02wHYlMq3XBbG0Fvvc94iyWVwE7KSqWEb1hotuuv7uxGjA1ODYT\no4IXQ13CPE7+LmezqtFLU1W19GBPiLG1QYyzG6vRHMpr8eD7+tm5cP0tYFR3PegQ8UwHbeeF7KNR\nXD9261YSMXrbV0TTPxp5prDqoN8h0cEntUSGrI+GEPqUsgcmkcjZIE7QFfrdEnFyufYFxAEqwQu2\n/uBd8KXPwkoDGil88SIsLsK+obBlOgO4eElqH1lFWD/dMTCQgeqVDKod+e75UPa/yOQ8tDKB6QoD\n9z8EX/ikZClW6ZXVQvY7rjxM1VHurK+r1R1cYzhapVk/hDEJG5tPk6YtidxtlcRWcW7ElWu/iy/6\n5OMOebFGyLdZXvwgSSKNMaboE/wIQoLHk0T8VI24114QmIJ1YQLfsNNoR/9Qjgx0kzqYmdpmx2uj\nE/Bb0L2Ar53ALn+YcOj7MNMX9Ne4bgtDHwxs9OHs8wJDnHotXLgA934HtBaE+33+LHz6SRn313Sw\nGaRge34A+9Zljuz9u2A5g56VwtzYAiPptHzjwzAaSPdrFjnnZopvzqRA4hFDZsYKmzR0P53wwpME\nYdUMKEf5laP6ovNIJRK2VnnqLaU6esj7knWEHIquZhBOsGWrDBobZD+SYxpdd8SADSqI6lqQfUxT\n6f7N9PMrFlwd3BYMVqCyX/bHal5pjGQt0fjZoN3DQUTgNlfkfStB58MGYfJ4nSebaIE2NktZq9mT\nFrWDk6anGSN1hO0gwm8HD0NYhJVNWFmS6VHV6qQw5bzQXpMB0Aa7LgY/185o7xTi0tpDVpfjWTdS\npE2tsJVshYk0NFM32531dbW6g2tcuPYH5MU23udU0zbBOfr5Iof2fCtLKx9lnG+S2RZpOovzHl8M\nSXwNxwAfhrjRNjYEkpBgcBJR6/1qv4xRNuj9E6N4PzHgpRGPUX7MBKaCjLKfJ+x8PL5vSQUuerD5\nNH7320n8WG6gl7luC0OfVODxK2JYXAXWm+AOwwc+LvNXv/gsPH4empno0p9elc5Oa+HZ3XA6QOU8\n/Pgs/L15+POL0KuJ8UwMtNuwZ59gw4kWaBOrCIseYGuFjuh1VGDIobZHng+FyBEnqmhpgjJZCmTA\nRqRPKdwTUL54Khh6VH30I3nfwQ2J0NOxYO0E+exERc2sQhHWiHFPxlJoHfcg2ZoY6UyLjrWqRPmp\nh/q8FGj9Pth+FswlWLhP8PhhkGsvLSQiNl7gntRKMTz30NmEzg1o7pO6grfanYoY7jxSSVGWCxLh\nMxbDPx4KH/6hlojOvfudIm52dRH+/UdgqQHHH4C9Hi5dgo01aVKrlBGNaOZcXYOFNTj0WnE8tQRm\ngjBJazU5Pp/+I9HQSRJR7nQDaTZjqGJp2YvT6jvr62MNR6tsdc8xHm+wvv009WyWe4/9CON8C1/k\n7Jl7O2lSY3Xtk/Q7F3D5Nmkyg0kK0a3xA4KTUNvjJ2wzN7HDEV8vi6+aqSdMAomyn2UawokGewrC\nnbTLTox93DYg931sxASLGa8QSMG+/DGCcJsYemuh6uCtD4kBGjwBlwqRLfjkabh8EeYySJVWOAzS\nru8LSJbBVYWi96HHoKaYbaQjOqCRyHCSEq2JBU7kAaMaNHFgdtCo3QSkvdMLqyPfAqxOclL4pDRQ\nTHC2imLr6QmweyXqHK7BqAuMhDlU0e9tRoj8gVXjm8mFExwQp4cV0nBVDORDgkJKuTYseW3ECgmM\nt6E2J5H+2ILbhq3LMHevfN8yg1F4yoBo2QSBRKjD0mU4slsu6kJpo4WbOCHvleKZiDHNxxJtByea\nNlYhJHJo1eDUq+Cee+F1b4R/97vw8cehPw8LJ+R9l64o/TRS1WrQyKVukG/JUJnEy7mcS6TX4oWz\nQtNMUznPuUo1jAdyDotc58xW7kD0X4+rXt3Lxvaz9PrXSJMaeTHi2tKf06zvp57tppLNsbX9DLVs\nH+P+EpBQyWYJfkRr/l7WFh8VyBSI4jQ7AoLIvIGS9hjv75I5YyilDG5OHHeoUvqJ09hRdI2vMQjD\nzsZt6tA+idn9jh3soZezbgtDnyvHu9qUJql9TTg6C9tDWFcoYbAhuHW7KZzq/galomQ1iNHaWNfm\nKys8cVeTxpkje0Sj3sUiSapGvtAKuTYikQpcg1HDqQVXjxj6okLJjfUKnZSUqZiWaYNScGAPSZQd\noqTASCYuVQpt5gkSNeMEi44Dhcllnyr3CbVz3IGwBVabiQziEGwQAxliqhnAb0oGMR7BuKbMozWZ\nw5rO6gGfKvIaPXYmiANrz0nm4FFJCM1QjAWqk+8fgji6SGVMqwKNBW1Yy1L53Y9k+2EfqMD/8t/D\nN70Wfuo3YHY3HL5PnFhne5Lpxs/yHq6/APNbotOTNmB9IBLG19akIF047T/Q+yE3cix8EI2k2svv\nNbmzbsM1Gm/QqByg173CaLxGrX0PlWyOA7u/kWvXH2Vz/BQbG49DKAhuQJ6vk5gKrdY9DPPLUAQx\n0GqId+Dufuo+p/QDpTPwaD0OdvTplH8rLg+UNO3SEdwc5ZvJYyWNuXE3HPtxkpn7b9nxui0M/bCA\nh++Bp5+DM1eglwhWO14UDZNXWdhwcGEDDpyUmz212uyU61SiFAY15YdrRJfkUHfwL98HzTosb4lh\nTyMDJQMSiUD7HWjOyGOZUTqhFkHxgtNnu6DYFNgnnv2wLXTH2GQVjDxnj4LR4SZFAa6LUHK7whuv\nWKFR2oHARfW6GsX7gV3i/IbXoN2FygqMGgKLhKHUHJxmLfoVSgqXGcos4fb9kKuGPV3YPA373yGG\nkcgYQqLyEPc9wP67ZZJUsOJM0kKZQ2ES2RgElkp1MMmnfgtOvR7mD8EoF2nhJJPI/LHTcNcD4pCN\nFzXQk3fBb/8s/MwvwY0B3P1G+OKHpRYQUgTm0qwrOLhxHZKrcMmKgigKvf1374BXvQq++Dw8+slJ\nDSEgxt4ZLXZP31x31tfFWlr9HMPBMi4fYUxKJW0zHKyRj/s4lxPCmFptH/l4ldFoQ415QXfzLDb0\npegUI+sIy6g1jrXY6Vjao7pZUDqIHZj8VHSPPh6x92kYCJh4Dj9xBDvYOMlekrXHCLVDsO8bMS9x\n6PFXWreFobeJ6NWcXYFBLhDE4gVImnLjXlyBu2bgdQ24NIYbm8KySACMsC58kLGDfizaKDYafA+H\nDkNvLIbGVrWBSLnlcQhrVkUiXT2JpXRoitAeA5iqyBUkQSJ/k4hDyRTiCRUxtCEF2qgusu7fUAyo\nzSWz8CguXxWj5QZQ7IJ0jwwPKbag3gV3To5HMi/GcjQQpksjm+yvd5TDxY2TDCDRSNsnauxz4bHb\n6qT4HEnxKWJYUcy+YqaySzNxAiGmmEG+e4JQMh96C8zs0kxgAFurlI1Omx3Y3oTd+wSKsVZYNvUB\n/Ivvhp/5zzJ1qrobBuvac6BwmvWyX1k6aSYziWjspB4+dx4+eUYykdRoNK+77Y12+SY7b9g76+/2\nKtyIPO9wdfGjLC0/hmdAlrbY3DhLvdLmuf6v4tyAaraAwVKt7GY8XCXkHucHWDwW1TyPF0bsfJ36\nnPKamXowmEkkT5BrPFEjXxZTY4SukX6M/kumppnUuKbnM6PviQe2zxDqBzA3/pRQ24eZe/BlH7fb\nw9AjBbwihcoI+ksC46QJbC/BaBM6Hk7sgsUgUWaiEVuJtwfoBolyh2PY34DDB4Ax7NsnxjAYFcZK\nKXVcvBq3uqpIJn5SXPFOotqg+C/KADERXjGSQRROYKUUxCG0gVSw9LGXKNxtS4Rf8WDmBZtPe9Id\nm3udGHY3jNdl26wN/ilovBnMEeguQ9qB8YbAIF5x8EZjEqUHD2FTmSlVoCdRd1CnONqC6jyQTKWY\nKr2AGlGTiSHOo4ja9IoGXimlo6GUMLIFcUC9rihT9rqUMsrDvgidvetd8lhU98sDPHAv/MDb4Vc/\nJjpG+ap8L/2oEssJqd4PykxKtI6y2BEWVSURBxKZSIUWyJ3RrM9yZ30drLXNZ3nm7H+k37/O5Rsf\nwrshWdokH3Vx/VV62nhSzVrMNI9Tr+/j4KFvYdFX2Rh9mhAc+DEh5MAUjh6m/k0FQXHMZ3QCEaWJ\nbD2YBDQxIJousgITfF4fi4ODApSDhuLnlRDRYEkeq8wJLe8WrNvC0AfgxjasXQFSKZwuPy1sk9RL\nVFqM4PII6AlVsV4T2qFZl9cUCVTGsO84rK5KxL24CvV9sGsOtqTZjSJWzVP5PUOjYq8zXHMwqtVu\nPCWzhr4YudaMRp1AGAEDSFWuNx9IU1u2T4xnMRboxw/AbULTQN1Cvkci9vxZ2PWDItE86Mk5bRaQ\nt2D8Bai+F577T9D4ddj7dmA/VLbBV6HfFmikayBbkyzA5AINJfu1OJlLFhJ1eHrnRQXUNyVijjSx\nWGCN0sqhQTnlCihnxhYarUQ5h2wgx6a7LobejwQC6xdItuHlvDz+JZifgfter9Cll47jPvB9/600\ns/3jX4bjb4KlZ0TkrIh0Ua8dugkiEocEAEVFJ3hZgcZIdLCKsqbi6MdhdwJT3Vl/95bzOdeXP8PK\n2lM8/8JvUxQ9hsNl8lzkg0fjbaqAtXVCGBPIKYohve5lsrRGZ/Msve0LGF8lsTUo1gj4CeMlTBnY\nMAXzGc0KS+s+5QdiYBT/nmLdTdN6Y9d8KZEQn4vbT0M9+jEYCNYSkiamcRAze98tOY63haG3Adyy\nFFnvPyXaKBc/I1TLBIE7LGKEo1G2VhqCxjUxmkkuWLdpyUDqjUIw7fuMUjG9GIisQskeSRPKxqck\ngc1LkiEknlKcyGh7v1Up37yAWhuJhBX6SdSJGA/MU9INycUZ2IFAQ7YvxVVrwc5A30KoS4E2GYqh\n9C3wZ6H5Ktj4ONRPS2v/8K8g+z6YfTcs/T/gF2C0X5rFxj1wl8CtSTZRr0+ll8g+hoHs42BF5rg6\nL897O3XhKdQDEPU5vP50UA4wt8CTnwPTgXs0qwxBupL7PXWSyleL4xhJJvISOEDVRscODh2EUR9m\n9sG+E7DxjBZUkaL12InD9VE/32udJZHv4fVchVSdUa43XCq1nql76c76O7bOX36UMxd+m9WNZ+n1\nL5IkTYmcSLFGzJe1KSaIZkgAQvC4oov3hqXrf86ofx2bVHDOkVAhuGEJnZTSBGqIyyA/TD0OZVW2\nJF8wcQ42Yu2KBqSaQUYZhNIjTGHx5brpcwkWGsewp/4pZuYUxma35DjeFkltKGC9A2ubEsVnXoqn\nWS4Rd6MJrb2we16MeWZEC8dYaO2D6lGJ8KotWHWQtGUe7N42/PJPCnZrIlSjMEuiQl7OgK1I1Nho\nCxQT/5kIcSg0YnLAKtNDI17nJLMYdQXKMA0mJ9QDhWQjjapg336oEWZL9Fycg3wk0Xe9EKNvm9Cf\nEynfAz8Esz8sHadr75fXzn071HeDX4ata9A4AdXXQe0YhC3NTLTq76waQv17sIJ04KrmjYUS9kGh\nqmkRppvPk0H0+i88ARefhy99TrYtnFAbtzbEqSUaJjkP8wtw90k5Zplq5jh1msHL607uEvlpe1Bq\nGE4jq0JvkKA9Dhg5h3ihlxZGfgZkm8RNwVJ/QwtvjPk2Y8xzxphzxpif/mu2ea8x5lljzDPGmN/5\nm33CnfU3XZuds1hbIfgCXwTcqEMxGoILpKZGJWkz276fSrZAmrSoZ7tp1vdjTY3+1ll62+cpii7F\nqEtwnkpt/+TScJTU6vJ+1X9xzkQc/wlTz0epk1zvifiaCKFODR2K2xqHsPzia/V9TZjshzyWQO0g\nIZ29ZUYebpOIfjiA0QvS3fqxMyJuVr9XOmDTljJTAuxvi+G/0RXhMsbiIGbmoHkKXA+6ffjmb4L/\n61G4fw523att8FbS+tRMosUwmghg9QZAVXVwVE7AZpNCZKI4t1VvnltKGmDel0LnwkkZLl70BU6w\nQ43gcyn8jtaBg0ABWR/8/WA2oDaQhqVwFMJZaf7hCUjeBJW7hEvefhjow3Bdm4wSCC1oj6HTgbkT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mph8F5gWrSPchM2EhdRAxnqXWRQGOfOJ0whvwSjM7DsAGbl2F8TBxDhjilzKhip53w+0MO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\nNOVnj0D/lWK7UJu2UYnVlic3RcGzXamsbM9TUEXoGywt4Xk2VwCcOw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PJVHX2kU30pt8r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tebCtlLwS8p2j7XgWFG7h6AJuSUgB6u3wJ4DQE2NQLVFZf5zc7B+M2zcpteZbUF9Uk52OA/DHtaM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\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"colab_type":"code","id":"-DCTRXhHFiS-","colab":{}},"source":["# use K-means to quantize the colors"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"NfV9e756bCTs","colab_type":"code","colab":{}},"source":["N, D = im_flat.shape"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"Xk3waYDGbCTv","colab_type":"code","outputId":"eb05e630-2780-4c2f-ffb4-5667ccca7385","executionInfo":{"status":"ok","timestamp":1578410425174,"user_tz":-60,"elapsed":10571,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":268}},"source":["K = 16\n","initial_center_ids = np.random.choice(N, (K,), replace=False)\n","centers = im_flat[initial_center_ids, :]\n","\n","old_loss = np.inf\n","for i in range(10000):\n"," center_to_cluster_dists = distance.cdist(centers, im_flat)\n"," cluster_assignment = np.argmin(center_to_cluster_dists, axis=0)\n"," for k in range(K):\n"," centers[k] = im_flat[cluster_assignment==k].mean(axis=0)\n"," loss = ((centers[cluster_assignment] - im_flat)**2).sum()\n"," if not i%10:\n"," print (\"Iteration: %d Loss: %g\" % (i, loss))\n"," if loss >= old_loss:\n"," break\n"," old_loss = loss\n","\n","plt.subplot(131)\n","plt.imshow(img)\n","plt.grid(False)\n","\n","plt.subplot(132)\n","plt.scatter(im_flat[:,0], im_flat[:,1], c=im_flat, marker='.', edgecolors='face', alpha=0.3)\n","plt.scatter(centers[:,0], centers[:,1], marker='x')\n","plt.axis('square')\n","\n","plt.subplot(133)\n","center_to_cluster_dists = distance.cdist(centers, im_flat)\n","cluster_assignment = np.argmin(center_to_cluster_dists, axis=0)\n","plt.imshow(centers[cluster_assignment].reshape(img.shape))\n","plt.grid(False)"],"execution_count":23,"outputs":[{"output_type":"stream","text":["Iteration: 0 Loss: 131.771\n","Iteration: 10 Loss: 79.3957\n","Iteration: 20 Loss: 77.6375\n","Iteration: 30 Loss: 76.2726\n","Iteration: 40 Loss: 75.5442\n","Iteration: 50 Loss: 75.2804\n","Iteration: 60 Loss: 75.2462\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXcAAACECAYAAABrsWv9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nA1x+XN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22ZTzGF7XAHf8Odz8InYulhb+l3VAqhiZRWnjssBO37MElnXBoGAjg3u9LNjBc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Q0M4HGLDddu56dbbufXO+0jWpIjG4mMPwMNVg13Y2I1SSz53bJG2clZrdkec7lzMK838qEQiLla6\nR09I9GsrQG2apE2x7GiDpctlfyB/PRzH2WAdT38f7bnxJBwQF8qVt15egTpa1B2OSv/ZjiMyMR2Y\ngLmY/buJYlpE7gDhAtRo8EWE/Pxl2PNraD0k5FSXgmgENm2RzcZirxBjoA5iJajPQqgsZluxPERS\nZhWgJToFU/FZAl0l+rcyxFYTFyOwcADWrIajR6R7U8t6yPmMe2RWTMN6u2D1ejitoP0iPHME1j0A\nNUk5Xh7jj5MxaYgBUKaNHiWTq6/M5JITmaWQhdwA5LvEmqCQMSmaSSH2kN8xOcubKlyf+QnSS/Xw\nXujtgY5TcPGCnDO0U5kLOPKH8XbRyPkJmOf9kxy5U4LqjQ9Ss20Xtv9p/4sjm3Fkdj8kd4zcxf5H\n8L3+Y9mAthJWUSajZDLNwkVLWdyymvp5jR6xTwHmV+Qg/uiXYgMATiPoG5cbt9O20atSLcYjrkrd\nOp2UqtdwVEj+tXMj3SXdjS/O9MHCefJ4e49ssC751JVH8O7smNFudlyVGC1vPREXD51cxukXeyWw\nxxrPW2Z6kHsGIr3Q1gYne6GcgNqoZH/kchLltfVAdVgMxZrCEB+UjkxkIZuGrpCQuT8A+WqIzpPO\nS+Wg2Ywzza5VEebOh0TIVPYbrbf9ICxMwv798OIlmLdaTDaGlkIyAAMa1iyHjgg8eRF23iLyS6IA\npQjc8ifw7nlI+MUJMhwxckgBSIgkky+K/JLrlfz4Qp9MSP4shIYk7fLkEbkdOgGHDknU3zcExblQ\nXyunS5sOS2UF1QFpuJ2qlYnEZzJ3tM+sFEw0blvpabOpWi4aLx8tFgUFk5o5qSiDLxSnau1Oktt2\noYHUPSM19tDWXSK7GOnF+syXi/KYKsvjNdV1bNxyM0tXrOO6mz+Gb4alK850lLNC7EdPOBLMaFYC\n6aSQq+1GNJ6+HGwe2ymxqeHy5zpelcf3HxX9f5jY653XtiyR1cVz/bDRjMFq8mNZFIwFS+CVk8Kp\nl53b0RPOpBJsHlmAVVlpmx5lcvltVzRuTAtZplyG3jng75MTUBWFlXXw/LswVBadecF8GOyGC72y\nybhgAZxul+Kf2hpYv07sByhAPiINLLZ/GJ5+QjJSskNCfPmMdEnCJ1ktyic54fUhiFTDxRVQlZPi\nqKxfCoXKK2F9SZpQZzLQdxG+85ho7OWimHCVsnD/38jqQGdlNdDQAFU+aR/YPAfSCWhqhPoY1MSg\n1w8nXoSzvfD4i/CbF0xD8BIsbpK/68mJZUBdHWTegVSV4b2C+PH4zDdYygrJV6clVdSH5OHHS7L6\nUCbTBFPlWy7K6qFsngsqIfnJ/aKh+wVpslG1dieJtSLFFC4ep/+/HiJ+4y7Ca3dK3voLkiWjcTZ/\nfQoSiTip6lrq5zUAmnVbt3vEPgUolYU03bna6xaIHFOZzWLTGK3dgH1+/RKnyjTbIBq521LAnd9d\nabp18pxDktkGJzMGjBUx0GTTIbvk2HvMe1ktvrMPPv4FuW/HGF8ujb4XzhNv9qYhxw3SZsO8/iQ8\n2wkHWx35CWQica8wUimRhUYjcTfcstZ7dWe6koyZaUHuBIEExJZDtAs2hqEuCfWXoLtXKk8HeiFT\nkibTAxnRv2NRiEShuxsuDYn3eTgKkQT8z7NwMAS7/gr2Pw2dZ+D4GWhshO5zQhQ6L12Q/KuhJw0X\nIxDuh7n1cLFfcuarQ5L7PpCBMxekEi40CL1Z8ZzvzEA4L9F4fQo6AiKj+HzQoyXVMOmDgx1w8hSc\n/28oxOU1UQW1g1BogrbDkKqBdBT68iL5pJNiZ9DdKf4dg93QMMdYDATFIyZakorUgjHQ6r7AsLFZ\nUEEuIjYMGhMBa9NuT5mmIiVZIQVw+ZxPFoxZWM++R6ha66Q7dv30IQIKhn4ttgMqP+hsvJpN8Hg0\nSuP8BSxqWkxNXZpyocC9f/RntKxeN8mD9jAaVMgh0SCwLiyEmK4zRUgVVavuSlNLgO09sHClc8yO\nV6E9Bbt+T4g4ck5I3R7TXalpO0DZoruFNXI8e9/+PtyL9aKM1UbtYVNEZYuqgvUMtzE5Hpe9Kc7B\nnh7oes28yR75YXPoO444Gj84E471xhk84kx8lRjPpmGiCEfH95aZFiGP9kMsIBF6oE2I9KXDcLpb\niCeVlAKjTAHxJEHyxX0AIZizBI60wpH/kxTIt56EhjJ0HYLvPgw1EVi5ViJ+P1IBWi7BnKWgt4ok\nkYzCYiTCjhUk+u7vkP6r2SwcOwDJnKQx4pdlaV83kJN+phTggpERfCUxAxs8A71nIJuCO++HtbUQ\nmgsJn6wm6lNQqJLIXRsy7s+LE6YuShWg3y92CIULJo/d6O6FApT7oLdP7gcCEKkSn3sfDHurBIy/\ne00EgtXmHITNqkWJbOPTMjlk5EJYo5T6auV3pJQKK6V+qpQ6ppR66Qo8/h0UgTxU3zDSAbLqpl2y\n+V2E7L5HKOz/McpYF0ejERY3L6ahcSEf/vjt1M9rIJFIcvdnPsfmG2++4iF4uLpIpZym1o+3jrQE\nGA/pOiFzG6W//ZKQYMer8M3vCTnXr3QiVZtS2LJkZFMPS+QWXV1C6qEzTtaMHV+hTZ63xA5C7OCk\nYg4ekRvAV9bAR6pGplamUs4qww07odnjujNkLGz2jJvM7QpnNNiJ0H1zI5eZCdkyWjTwgumF2noc\nls6BFfPhnbMwz7Sk6wvAUBEWVsPZbjlJ8bnQtA3mH4VTGt7uhE9+AX7+KFRXQ6AHDh2EnZ+G/FMS\nEMZbZMkV1HB7PbxyGE6+JfYH8YgjBSST0DIPzp+ATAfULoQzZ6EYMyR7FiJ1xk43DmEFakiWrKUg\nBAvQW4TXn4IXn4N4vRCpLyY+OiezQAnqLopbJcZaoGA6Kfn8EomXg5L9ErJ5+nnjoeOTataCyQFX\nPugagvokXBpguPgnZKSh3KDR4ctIr1UtqZEZoDwgrQXzPRwEHlBK7dFaH3J9TZ8DurXWH1JK3Q/8\nE/DpK/qiS1B76y6Sm3bS/8pu+vc9QvVHdhHfKFJM5jlpief3Q326nrlz57Hluq0sW7mKqkQVpXyB\nTGaATdtuYu111084f93D5KKpQeSJliXyu9XawWUB7Irow1FYcb1IMmfDQsYP3C3pxVbKefsleez5\njCOXxJdLpH7XSonsu7ouJ9lUSgj5eA3kXucyFNogXBFJj5Zj//ZL8JkTzjEtwbsrYE/iVM264SZ4\n92Nj5ah39jlVuBY2vXO0PrHD4zZV8WNhWpB7sAx1HXDgBAx1SAu4jm5YM1+qQ3sXiGZek4cqDT2D\ncMtasSk40A79l+CkHwphWJSXDcWb74a3X5TVwOnDUF0HLZuhtxtUGlbFZbNz3xswcA4SManQLJoG\nGGhIx+HcIGzZDu0FyWIhKNF7OAC5MsT7JY1zblE8ZnozomGHq6U4KqzlJCeVZNwkIjAUgp5uWUUs\nKMuE4QtKtF4smJOiZaIZjECyB4hA/Qo4dlRWB1pDtGAMwIJyzkBWPS2LJOovItLTmsVS2KV8Mia/\nXfUocdhUZiIxFaoa+A+kQ4+b3HcCf2/uPwZ8UymltNYTF3M0lHOD9L+ym55fSZZMz17R1skNgoZF\nCxdww7bt5HJZbtt5D/c9+BmUUpRKJTovdBAOR6hJj9GG3sMHhqAWbfrAaThlItST5yQz5gBOdGtl\nioFByecGyaZp74Gu8MhjPnC3FELZXqgAi7bLceI4Eboldjfc0fVxv2yetm9HnOtxiNPKJMP2wa5j\njJZr78YIYh+DdCvJ3loQV2rqlcTf1DByjHairDy2ff1EsmXUlVybk4VgTOktGyHbArVFOPAE5Osg\nuEwcEkMlGMxB8ShsTkGsWjTjk2ehOweBasjNlWKkeQm4/Q4x4dJ5OP2OpD3WhWFFCzz+NBwNQD4B\ndUNw5rRIMr6wVImG4/J+vQVYnoYLeSkSivogcx4GzkuaY9gvm5hFP9RFINMsj0XyoGNy0rM+SARM\nJF+G6iD0a9mU9RsHy+C70sO0VJKIdXBAvOh1Wbxp8iGo3QDRNugbhB7T69XvM4VZxu894DOdnDS0\n1ENfThqMAOgCnBiU962JQM4vmn25aKpoS+JhE4pD9hKvAN8Artdaf8l+R0qpt4DbtNanze/HzWvG\nTOLasmWLbm1tHf5dWbc0HNMy6zlfFQ5y76c+zT333kc0GqU2lWbNho3eZulVglLqlbGMw94PAnGl\nP7ZZLAhA5BUbYbuJd+CwEFWjieQPnHY2Ly2ZplISjVu8ZohzaUlW2G4yd/dttXBH1euXONq7fayy\nQhaMzFN/+THGgvs9KyP90dwwEysd+We8vqkWo0kzdvO50lvHjcEuKBX0qEvYaRG5l0pwTEHPM7Dl\netlwLPSAOi6ZHroaOAvNITjbJVLFbVuFBAc1UANxvzTMzueF1EMRIdc5TbKh+MRuWL4cblwPrx6E\nZWEYaoOk2WCMGK+XYo9kxcQSUphUNJWjpUHJfLmUl56jxYJT/ZpJmZRKLRYaiSHp9BTMQWdALAyq\nAhIl57IyAZQNGecGkMYcPvNFhuVzgbE9iEDmktgM5/ule1TZbDJqv2nigZPGWEacLeurjL1BHk4P\nyuSyrA4CcZmU3jwvY04Gpbp3sARqLiP6M74fuFuxLVq06PIX2Jx7k+ce8sEnPvFJvvTlL7NpyxZC\noUk2uPFwVaDz8HIOCnslwwUM8RwBDGla0y9rSXDjckeucRN7JWzK4k9+Dg8sEOL/wfOXE7ub1K10\n4iZ2MOmaFcTufn+LyLmRWvp4ZG8J1pKtO9vFDeupM5H0Rjv5WdiiJhvBp5MjM4bse6txLpfpERZp\nGDglxHXs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"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"2Z6i96eKbCT0","colab_type":"text"},"source":["# On-line K-means\n","\n","The default K-means algorithm works in batch mode: all data samples are processed at each iteration. We can, however simply transform k-means to an on-line algorithm. The main idea is to process a stream of data samples. For each sample, we find its closest centroid and move it in the direction of the sample by a small amount. This is called **winner takes all** approach: the winning (closest) centroid takes all the update.\n","\n","The code below recreates the compression example using on-line training."]},{"cell_type":"code","metadata":{"id":"mH9f9K4EbCT0","colab_type":"code","outputId":"b0f23a5a-3c15-4a24-e415-54c5792d5ac8","executionInfo":{"status":"ok","timestamp":1578410505117,"user_tz":-60,"elapsed":7991,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":166}},"source":["# An on-line version of k-Means\n","\n","K = 16\n","initial_center_ids = np.random.choice(N, (K,), replace=False)\n","centers = im_flat[initial_center_ids, :]\n","\n","def make_plot():\n"," plt.subplot(131)\n"," plt.imshow(img)\n"," plt.grid(False)\n","\n"," plt.subplot(132)\n"," plt.scatter(im_flat[:,0], im_flat[:,1], c=im_flat, marker='.', edgecolors='face', alpha=0.3)\n"," plt.scatter(centers[:,0], centers[:,1], marker='x')\n"," plt.axis('square')\n","\n"," plt.subplot(133)\n"," center_to_cluster_dists = distance.cdist(centers, im_flat)\n"," cluster_assignment = np.argmin(center_to_cluster_dists, axis=0)\n"," plt.imshow(centers[cluster_assignment].reshape(img.shape))\n"," plt.grid(False)\n"," plt.show()\n","\n","alpha = 1e-2\n","for i in range(1000000):\n"," sampled_x = im_flat[np.random.randint(N)]\n"," cluster_id = np.argmin(((centers - sampled_x)**2).sum(axis=1))\n"," # centers[cluster_id] = centers[cluster_id] - alpha * (centers[cluster_id] - sampled_x)\n"," # or equivalently\n"," centers[cluster_id] = (1 - alpha) * centers[cluster_id] + alpha * sampled_x\n"," \n"," if not i%100000:\n"," center_to_cluster_dists = distance.cdist(centers, im_flat)\n"," cluster_assignment = np.argmin(center_to_cluster_dists, axis=0)\n"," loss = ((centers[cluster_assignment] - im_flat)**2).sum()\n"," display.clear_output()\n"," print (\"Iteration: %d Loss: %g\" % (i, loss))\n"," make_plot()\n"," "],"execution_count":24,"outputs":[{"output_type":"stream","text":["Iteration: 900000 Loss: 77.8807\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXcAAACECAYAAABrsWv9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nUlRMx6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ELhocgVi0F3b5uKZpG8pCqgx0nIV8UXbynxUJgViPsPgLvugOuuR7efkd5EPIC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w2idu2/D9oKTmso748ROYWVlMopGa5nfcgetbcuon9vkEvsUoLR93vdfEcICIf1YRBZebXsBcAi7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\nJ2XFM4z1AAAAAElFTkSuQmCC\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"NY8q-iLobCT5","colab_type":"text"},"source":["# Kohonen maps\n","\n","The on-line *winner takes all* approach yields yet another generalization: **winner takes most**. In the very successful Kohonen map data representation we define a neighborhood relation (a topology) on the centroids. Then, we change a centroid *and its neighbors*. Please note that the topology is chosen a-priori, without seeing any data.\n","\n","In the example below, the topology is a linear one: the centroids are arranged into a chain and we define matrix $C$ to control which centroids are changed during algorithm iterations.\n","\n","In the code given below, for each data sample the closest centroid is found. Then, we look at its neighborhood and change all the centroids, proportionally to the appropriate row of the *C* matrix.\n","\n","Typically, when the algorithm finishes the chain of centorids spans all colors and movement along it roughly corresponds to pixel intensity changes. Thus, the map has found a nonlinear, 1D representation of the data (the pixel intensities).\n","\n","There are many more variations of the self organizing map, you can play with demos for several ones here: http://www.demogng.de/js/demogng.html?model=GNG&showAutoRestart&autoRestartTime=8"]},{"cell_type":"code","metadata":{"id":"6ea57b1YbCT7","colab_type":"code","outputId":"a03c494b-a9da-4fba-cae1-5fe0c040c3e9","executionInfo":{"status":"ok","timestamp":1578410505121,"user_tz":-60,"elapsed":90446,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":265}},"source":["# Kohonen map\n","\n","# First create a topology between units.\n","# This has nothing to do with the data we want to quantize!\n","\n","NY, NX = np.meshgrid(np.arange(1), np.arange(24))\n","centroid_topology = np.stack([NY.ravel(), NX.ravel()], axis=1)\n","\n","K = centroid_topology.shape[0]\n","\n","C = np.zeros((K, K))\n","for ni in range(K):\n"," for nj in range(K):\n"," C[ni, nj] = np.maximum(0.0, \n"," 1.0 - np.abs(centroid_topology[ni] - centroid_topology[nj]).sum()/2.0)\n","\n","def plot_lines(C, locations, **kwargs):\n"," segments = []\n"," for ni, nj in zip(*np.nonzero(C)):\n"," if ni < nj:\n"," segments.append(locations[ni])\n"," segments.append(locations[nj])\n"," segments.append(np.zeros((2,)) + np.nan)\n"," segments = np.array(segments)\n"," plt.plot(segments[:,0], segments[:,1], **kwargs)\n","\n","plt.scatter(centroid_topology[:,0], centroid_topology[:,1])\n","plot_lines(C, centroid_topology, color='k')"],"execution_count":25,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXAAAAD4CAYAAAD1jb0+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"VK0lR70bbCT-","colab_type":"code","outputId":"11e622e1-175d-496d-d969-eb1ef86809e5","executionInfo":{"status":"ok","timestamp":1578410505202,"user_tz":-60,"elapsed":90481,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":833}},"source":["# Make it a loop\n","# C[0, -1] = 0.5\n","# C[-1, 0] = 0.5\n","# C"],"execution_count":26,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[1. , 0.5, 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5],\n"," [0.5, 1. , 0.5, 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0.5, 1. , 0.5, 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0.5, 1. , 0.5, 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0.5, 1. , 0.5, 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0.5, 1. , 0.5, 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0.5, 1. , 0.5, 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0.5, 1. , 0.5, 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5, 1. , 0.5, 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5, 1. , 0.5, 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5, 1. , 0.5, 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5, 1. , 0.5,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5, 1. ,\n"," 0.5, 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5,\n"," 1. , 0.5, 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0.5, 1. , 0.5, 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0.5, 1. , 0.5, 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0.5, 1. , 0.5, 0. , 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0.5, 1. , 0.5, 0. , 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0.5, 1. , 0.5, 0. , 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0.5, 1. , 0.5, 0. , 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0.5, 1. , 0.5, 0. , 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5, 1. , 0.5, 0. ],\n"," [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5, 1. , 0.5],\n"," [0.5, 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n"," 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5, 1. ]])"]},"metadata":{"tags":[]},"execution_count":26}]},{"cell_type":"code","metadata":{"id":"5SAgiUCBbCUD","colab_type":"code","outputId":"a6bb9a71-2281-42a1-b902-3a44a051811c","executionInfo":{"status":"ok","timestamp":1578410777727,"user_tz":-60,"elapsed":8239,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":166}},"source":["# Kohonen map\n","\n","# First create a topology between units.\n","# This has nothing to do with the data we want to quantize!\n","\n","def make_plot():\n"," plt.subplot(131)\n"," plt.imshow(img)\n"," plt.grid(False)\n","\n"," plt.subplot(132)\n"," plt.scatter(im_flat[:,0], im_flat[:,1], c=im_flat, marker='.', edgecolors='face', alpha=0.3)\n"," plt.scatter(centers[:,0], centers[:,1], marker='x')\n"," plot_lines(C, centers[:,:2], color='k')\n"," plt.axis('square')\n","\n"," plt.subplot(133)\n"," center_to_cluster_dists = distance.cdist(centers, im_flat)\n"," cluster_assignment = np.argmin(center_to_cluster_dists, axis=0)\n"," plt.imshow(centers[cluster_assignment].reshape(img.shape))\n"," plt.grid(False)\n"," plt.show()\n","\n","initial_center_ids = np.random.choice(N, (K,), replace=False)\n","centers = im_flat[initial_center_ids, :]\n","\n","alpha = 2e-2\n","for i in range(3000000):\n"," sampled_x = im_flat[np.random.randint(N)]\n"," cluster_id = np.argmin(((centers - sampled_x)**2).sum(axis=1))\n"," cluster_alpha = (alpha * C[cluster_id]).reshape([-1, 1])\n"," centers = (1 - cluster_alpha) * centers + cluster_alpha * sampled_x\n"," \n"," if not i%100000:\n"," center_to_cluster_dists = distance.cdist(centers, im_flat)\n"," cluster_assignment = np.argmin(center_to_cluster_dists, axis=0)\n"," loss = ((centers[cluster_assignment] - im_flat)**2).sum()\n"," display.clear_output(wait=True)\n"," print (\"Iteration: %d Loss: %g\" % (i, loss))\n"," make_plot()"],"execution_count":27,"outputs":[{"output_type":"stream","text":["Iteration: 2900000 Loss: 58.0398\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXcAAACECAYAAABrsWv9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n3L0Hfn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VVCveOn0JxAHYehQ/cqPK05XowxxSwdAEcBVeTyIse92DVHHjwMXjH1fDay+Gi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\ngg==\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"5pjQJQjhbCUH","colab_type":"code","outputId":"ab16aa6d-3d00-41c5-e6a1-2c979b884faa","executionInfo":{"status":"ok","timestamp":1578410779303,"user_tz":-60,"elapsed":364504,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":333}},"source":["plt.scatter(im_flat[:,0], im_flat[:,1], c=im_flat, marker='.', edgecolors='face', alpha=0.3)\n","plt.scatter(centers[:,0], centers[:,1], marker='x')\n","plot_lines(C, centers[:,:2], color='k')\n","plt.axis('square')"],"execution_count":28,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(-0.054928315412186395,\n"," 1.0602482850293145,\n"," -0.05758830022075053,\n"," 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b8BLXH76etJ6xgMypvAVI/G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2m9YwXWPOa3ua+jmtC4NU0YwkiqJhVcKwl6aZdA1ey+C+TxFNdOG7Lqce/R9YdWo41VVS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\nAABJRU5ErkJggg==\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"collapsed":true,"id":"Zc6NMvHbbCUL","colab_type":"text"},"source":["# Fitting a Gaussian mixture using EM"]},{"cell_type":"markdown","metadata":{"id":"0x0z0GXxbCUM","colab_type":"text"},"source":["K-means is a *clustering* or *quantization* algorithm - each data sample is assigned to a cluster (also called prototypes or centroids) and the prototypes are chosen to minimize the reconstruction error. Thus, K-means is typically used to:\n","1. describe the data,in terms of clusters/prototypes,\n","2. compress the data, replacing each sample by the nearest prototype.\n","\n","K-means does not implement an easy way to generate new data as it does not define a data generating probability distribution and only relies on a data reconstruction objective.\n","\n","However, with a slight change we can add the probabilistic interpretation to the K-means algorithm. Consider the following data generation scheme, called a mixture of Gaussians:\n","1. Sample a prototype $z\\in \\{1, 2,\\ldots, K\\}$ with $p(z=j) = \\pi_j$\n","2. Sample the new data point $x \\in \\mathbb{R}^d$ from $p(x|z=j) = \\mathcal{N}(\\mu_j, \\Sigma_j)$\n","\n","We will collectively call the parameters of the model $\\Theta=(\\pi, \\mu, \\Sigma)$ and to make it clear we will use $\\Theta$ as a subscript for probability distributions. We will fit them using the maximum likelihood principle:\n","\n","\\begin{equation}\n","\\begin{split}\n","L(\\Theta) &= \\prod_i p(x^{(i)}) = \\prod_i \\sum_j p_\\Theta(x^{(i)}, z=j) = \\prod_i \\sum_j p_\\Theta(x^{(i)}|z=j) p_\\Theta(z=j) \\\\\n","\\log L(\\Theta) &= \\sum_i \\log p(x^{(i)})= \\sum_i \\log\\left(\\sum_j p_\\Theta(x^{(i)}, z=j)\\right) = \\sum_i \\log\\left(\\sum_j p_\\Theta(x^{(i)}|z=j) p_\\Theta(z=j)\\right)\n","\\end{split}\n","\\end{equation}\n","\n","However, this form of the likelihood function is difficult to optimize and we will instead introduce the [Expectation Maximization (EM)](https://en.wikipedia.org/wiki/Expectation%E2%80%93maximization_algorithm) algorithm.\n","\n","## Intuitions about EM Algorithm\n","\n","First, observe that if we knew for each data sample $x^{(i)}$ the mixture component from which it was generated, the likelihood of the joint distribution over the observed variables $x$ and the latent variables $z$ is easy to optimize:\n","\n","\\begin{equation}\n","\\begin{split}\n","\\prod_i p_\\Theta(x^{(i)}, z=z^{(i)}) &= \\prod_i p_\\Theta(x^{(i)}|z=z^{(i)}) p_\\Theta(z=z^{(i)}) \\\\\n","\\log \\prod_i p_\\Theta(x^{(i)}, z=z^{(i)}) &= \\sum_i \\left( \\log p_\\Theta(x^{(i)}|z=z^{(i)}) + \\log p_\\Theta(z=z^{(i)})\\right)\n","\\end{split}\n","\\end{equation}\n","\n"]},{"cell_type":"markdown","metadata":{"id":"nF0OEN6obCUO","colab_type":"text"},"source":["However, we do not know the value of $z$. On the other hand, we can estimate $z$ by computing a posterior distribution of $z$ given $x$ for our current estimate of the parameters $\\Theta$:\n","\n","\\begin{equation}\n","p_\\Theta(z=j|x) = \\frac{p_\\Theta(x,z)}{p_\\Theta(x)} = \\frac{p_\\Theta(x|z=j)p_\\Theta(z=j)}{\\sum_{l}p_\\Theta(x|z=l)p_\\Theta(z=l)}\n","\\end{equation}\n","\n","Then a heuristic procedure for fitting Gaussian Mixtures would repeat these two steps:\n","1. *Estimate* the posterior $p_\\Theta(z=j | x^{(i)})$. Let $w^{(i)}_{j} = p_\\Theta(z=j | x^{(i)})$. \n","2. *Maximize* the likelihood of $\\Theta$ under our current guess about $z$. This is simple fitting of Gaussian mixtures in which we treat sample $x^{(i)}$ as belonging to cluster $j$ with weight $w^{(i)}_{j}$:\n"," - $\\pi_j = \\frac{\\sum_{i=1}^N w^{(i)}_{j}}{N}$\n"," - $\\mu_j = \\frac{\\sum_i w^{(i)}_{j}x^{(i)}}{\\sum_i w^{(i)}_{j}}$\n"," - $\\Sigma_j = \\frac{\\sum_i w^{(i)}_{j} (x^{(i)} - \\mu_j)(x^{(i)} - \\mu_j)^T}{\\sum_i w^{(i)}_{j}}$ \n","Please note how this procedure is similar to the K-Means algorithm."]},{"cell_type":"markdown","metadata":{"id":"my6DzUZFbCUP","colab_type":"text"},"source":["## Justification of the EM algorithm\n","\n","We will now prove that iterations of the E-M steps indeed improve the likelihood of our model. Intuitively, the EM algorithm first constructs a guess about the distribution of $z$, then uses this guess to optimize the parameters $\\Theta$. We will first formalize how we can measure the quality of an approximating distribution.\n","\n","Formally, the [Kulback-Leibler divergence](https://en.wikipedia.org/wiki/Kullback%E2%80%93Leibler_divergence), or simply the KL-divergence is defined as:\n","\n","\\begin{equation}\n","KL(q(z) || p(z)) = -\\sum_z q(z) \\log\\frac{p(z)}{q(z)} = -\\mathbb{E}_{z \\sim q}\\left[ \\log\\frac{p(z)}{q(z)} \\right]\n","\\end{equation}\n","\n","It has the following properties:\n","1. $KL(q(z) || p(z)) =0$ iff $q(z) = p(z)$\n","2. $KL(q(z) || p(z)) \\geq 0$, which can be proven using the [Jensen's inequality](https://en.wikipedia.org/wiki/Jensen%27s_inequality): $KL(q(z) || p(z)) = \\mathbb{E}_{z \\sim q}\\left[ -\\log\\frac{p(z)}{q(z)} \\right] \\geq -\\log \\mathbb{E}_{z \\sim q}\\left[\\frac{p(z)}{q(z)} \\right] = -\\log \\sum_z p(z) = -\\log 1 = 0$.\n","\n","Now consider any distribution $q_{\\phi}(z|x)$. \n","\n","\\begin{equation}\n","\\begin{split}\n","KL(q_\\phi(z|x) || p_\\Theta(z|x)) &= -\\mathbb{E}_{z \\sim q}\\left[ \\log\\frac{p_\\Theta(z|x)}{q_\\phi(z|x)}\\right] \\\\\n","&= -\\mathbb{E}_{z \\sim q}\\left[ \\log\\frac{p_\\Theta(z|x)p_\\Theta(x)}{q_\\phi(z|x)p_\\Theta(x)}\\right] \\\\\n","&= -\\mathbb{E}_{z \\sim q}\\left[\\log\\frac{p_\\Theta(x, z)}{q_\\phi(z|x)}\\right] + \\mathbb{E}_{z \\sim q}\\left[ \\log p_\\Theta(x) \\right] \\\\\n","&= -\\mathbb{E}_{z \\sim q}\\left[\\log\\frac{p_\\Theta(x, z)}{q_\\phi(z|x)}\\right] + \\log p_\\Theta(x)\n","\\end{split}\n","\\end{equation}\n","\n","From there we conclude, that:\n","$$\n","\\log p_\\Theta(x) = KL(q_\\phi(z|x) || p_\\Theta(z|x)) + \\mathbb{E}_{z \\sim q}\\left[\\log\\frac{p_\\Theta(x, z)}{q_\\phi(z|x)}\\right]\n","$$\n","\n","And the full data likelihood is just a sum over all the samples:\n","\n","$$\n","\\log L(\\Theta) = \\sum_i \\log p_\\Theta(x^{(i)}) = \\sum_i KL(q_\\phi(z^{(i)}|x^{(i)}) || p_\\Theta(z^{(i)}|x^{(i)})) + \\sum_i \\mathbb{E}_{z^{(i)} \\sim q}\\left[\\log\\frac{p_\\Theta(x^{(i)}, z^{(i)})}{q_\\phi(z^{(i)}|x^{(i)})}\\right]\n","$$\n","\n","Now the two steps the EM algorithm is doing are:\n","1. Expectation: set $\\sum_i KL(q_\\phi(z^{(i)}|x^{(i)}) || p_\\Theta(z^{(i)}|x^{(i)})) = 0$ by setting $q_\\phi(z^{(i)}|x^{(i)}) = p_\\Theta(z^{(i)}|x^{(i)})$. This step introduces the surrogate distribution $q$ to model our current belief about $z$. This is easy to compute using the Bayes theorem.\n","2. Maximization: keeping the approximating distribution $q(z|x)$ constant, maximize the term $\\mathbb{E}_{z^{(i)} \\sim q}\\left[\\log\\frac{p_\\Theta(x^{(i)}, z^{(i)})}{q_\\phi(z^{(i)}|x^{(i)})}\\right]$ over $\\Theta$.\n","\n","We will first show that EM iterations indeed increase the log-likelihood. Let $\\Theta^t$ denote the model parameters at iteration $t$:\n","\n","\\begin{equation}\n","\\begin{split}\n","\\log L(\\Theta^t) &= \\sum_i \\log p_{\\Theta^t}(x^{(i)}) \\\\\n","&= \\sum_i KL(q(z^{(i)}|x^{(i)}) || p_{\\Theta^t}(z^{(i)}|x^{(i)})) + \\sum_i \\mathbb{E}_{z^{(i)} \\sim q(z^{(i)}|x^{(i)})}\\left[\\log\\frac{p_{\\Theta^t}(x^{(i)}, z^{(i)})}{q(z^{(i)}|x^{(i)})}\\right] \\;\\text{ for any } q(z^{(i)}|x^{(i)}) \\\\\n","&= \\sum_i \\mathbb{E}_{z^{(i)} \\sim q_{\\phi^t}(z^{(i)}|x^{(i)})}\\left[\\log\\frac{p_{\\Theta^t}(x^{(i)}, z^{(i)})}{q_{\\phi^t}(z^{(i)}|x^{(i)})}\\right] \\text{ because we set } q_{\\phi^t}(z^{(i)}|x^{(i)}) = p_{\\Theta^t}(z^{(i)}|x^{(i)}) \\;\\text{ and thus KL is 0} \\\\\n","&\\leq \\sum_i \\mathbb{E}_{z^{(i)} \\sim q_{\\phi^t}(z^{(i)}|x^{(i)})}\\left[\\log\\frac{p_{\\Theta^{t+1}}(x^{(i)}, z^{(i)})}{q_{\\phi^t}(z^{(i)}|x^{(i)})}\\right] \\;\\text{ because we maximize over } \\Theta^{t+1} \\\\\n","&\\leq \\sum_i KL(q_{\\phi^t}(z^{(i)}|x^{(i)}) || p_{\\Theta^{t+1}}(z^{(i)}|x^{(i)})) + \\sum_i \\mathbb{E}_{z^{(i)} \\sim q_{\\phi^t}(z^{(i)}|x^{(i)})}\\left[\\log\\frac{p_{\\Theta^{t+1}}(x^{(i)}, z^{(i)})}{q_{\\phi^t}(z^{(i)}|x^{(i)})}\\right] \\;\\text{ because KL is } \\geq 0 \\\\\n","&= \\log L(\\Theta^{t+1})\n","\\end{split}\n","\\end{equation}\n","\n","Finally, please note that the second step is just regular maximum likelihood estimation. Recall that $\\Theta=(\\pi, \\mu, \\Sigma)$ and let $w^{(i)}_j=q_\\phi(z^{(i)}=j|x^{(i)})$:\n","\n","\\begin{equation}\n","\\begin{split}\n","&\\text{arg max}_\\Theta \\mathbb{E}_{z^{(i)} \\sim q}\\left[\\log\\frac{p_\\Theta(x^{(i)}, z^{(i)})}{q_\\phi(z^{(i)}|x^{(i)})}\\right] =\\\\\n","&\\text{arg max}_{\\Theta}\\sum_j q_\\phi(z^{(i)}=j|x^{(i)}) \\log\\frac{p_\\Theta(x^{(i)}, z^{(i)}=j)}{q_\\phi(z^{(i)}=j|x^{(i)})} =\\\\\n","&\\text{arg max}_{\\Theta}\\sum_j w^{(i)}_j \\log\\frac{p_\\Theta(x^{(i)}, z^{(i)}=j)}{w^{(i)}_j} =\\\\\n","&\\text{arg max}_{\\Theta}\\sum_j w^{(i)}_j \\log p_\\Theta(x^{(i)}, z^{(i)}=j) = \\quad [w_j\\text{ are constant}]\\\\\n","&\\text{arg max}_{\\pi, \\mu, \\Sigma}\\sum_j w^{(i)}_j \\log p(x^{(i)}|z^{(i)}=j;\\mu,\\Sigma) + \\sum_j w^{(i)}_j \\log p(z^{(i)}=j;\\pi)\n","\\end{split}\n","\\end{equation}\n","\n","The maximizations over $\\mu, \\Sigma$ and over $\\pi$ can be performed separately. It is fairly straightforward to show that tey result in: \n"," - $\\pi_j = \\frac{\\sum_{i=1}^N w^{(i)}_{j}}{N}$\n"," - $\\mu_j = \\frac{\\sum_i w^{(i)}_{j}x^{(i)}}{\\sum_i w^{(i)}_{j}}$\n"," - $\\Sigma_j = \\frac{\\sum_i w^{(i)}_{j} (x^{(i)} - \\mu_j)(x^{(i)} - \\mu_j)^T}{\\sum_i w^{(i)}_{j}}$\n","\n","\n","## EM demonstration\n","\n","The code below implements the EM algorithm to fit a Gaussian mixture to the pixel intensities. Note that typically the means of the Gaussians are initialized using a vanilla K-Means iteration."]},{"cell_type":"code","metadata":{"id":"UzSUWerobCUQ","colab_type":"code","colab":{}},"source":["def make_ellipse(mean, cov, ax, **kwargs):\n"," \"\"\"Plot an ellipse.\"\"\"\n"," kwargs.setdefault('alpha', 0.5)\n"," v, w = np.linalg.eigh(cov)\n"," u = w[0] / np.linalg.norm(w[0])\n"," angle = np.arctan2(u[1], u[0])\n"," angle = 180 * angle / np.pi # convert to degrees\n"," v = 2. * np.sqrt(2.) * np.sqrt(v)\n"," ell = mpl.patches.Ellipse(mean, v[0], v[1],\n"," 180 + angle, **kwargs)\n"," ell.set_clip_box(ax.bbox)\n"," ax.add_artist(ell)"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"zcEUwRrDbCUZ","colab_type":"code","outputId":"9277d606-8ecc-40af-88a5-4e831aa9d9e4","executionInfo":{"status":"ok","timestamp":1578410781004,"user_tz":-60,"elapsed":366140,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":306}},"source":["# first run a k-means to initialize\n","K = 16\n","initiali_center_ids = np.random.choice(N, (K,), replace=False)\n","centers = im_flat[initiali_center_ids, :]\n","\n","old_loss = np.inf\n","for i in range(10000):\n"," center_to_cluster_dists = distance.cdist(centers, im_flat)\n"," cluster_assignment = np.argmin(center_to_cluster_dists, axis=0)\n"," for k in range(K):\n"," centers[k] = im_flat[cluster_assignment==k].mean(axis=0)\n"," loss = ((centers[cluster_assignment] - im_flat)**2).sum()\n"," if not i%10:\n"," print (\"Iteration: %d Loss: %g\" % (i, loss))\n"," if loss >= old_loss:\n"," break\n"," old_loss = loss"],"execution_count":30,"outputs":[{"output_type":"stream","text":["Iteration: 0 Loss: 344.154\n","Iteration: 10 Loss: 103.688\n","Iteration: 20 Loss: 84.9733\n","Iteration: 30 Loss: 81.3583\n","Iteration: 40 Loss: 79.4319\n","Iteration: 50 Loss: 78.2768\n","Iteration: 60 Loss: 76.8871\n","Iteration: 70 Loss: 76.2338\n","Iteration: 80 Loss: 75.718\n","Iteration: 90 Loss: 75.5033\n","Iteration: 100 Loss: 75.433\n","Iteration: 110 Loss: 75.3438\n","Iteration: 120 Loss: 74.7627\n","Iteration: 130 Loss: 74.4229\n","Iteration: 140 Loss: 74.3691\n","Iteration: 150 Loss: 74.3351\n","Iteration: 160 Loss: 74.3146\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"-aeu1KWMf5Px","colab_type":"code","outputId":"9435678f-9a42-4b5b-f2b2-e69c0f1126ba","executionInfo":{"status":"ok","timestamp":1578410917424,"user_tz":-60,"elapsed":2734,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":219}},"source":["im_flat_2D = im_flat[:, :2]\n","\n","if 0:\n"," # We can start the EM iteration by randomly selecting centers\n"," K = 16\n"," initial_center_ids = np.random.choice(N, (K,), replace=False)\n"," mus = im_flat_2D[initial_center_ids, :]\n","else:\n"," # but it is often better to start with K-means centroids\n"," mus = centers[:, :2]\n","\n","# initialize the covariances and cluster probabilities\n","sigmas = np.array([np.cov(im_flat_2D.T)] * K)\n","pis = np.ones((K,)) / K\n","\n","# we can optionally foce some minimum covariance which will result in broader Gaussians\n","# use 1e-6 to get results similar to those of the sklearn's implementation below\n","reg_covar = 1e-6\n","\n","def make_plot():\n"," plt.subplot(121)\n"," plt.imshow(img)\n"," plt.grid(False)\n","\n"," plt.subplot(122)\n"," plt.scatter(im_flat_2D[:,0], im_flat_2D[:,1], c=im_flat, marker='.', edgecolors='face', alpha=0.3)\n"," plt.scatter(centers[:,0], centers[:,1], marker='x')\n"," plt.axis('square')\n","\n"," for mean, cov in zip(centers, sigmas):\n"," make_ellipse(mean, cov, plt.gca(), edgecolor='none', alpha=0.7)\n"," None\n"," plt.show()\n","\n","old_log_likelihood = np.inf\n","for i in range(100):\n"," # E step\n"," log_prob_z_and_x = []\n"," for k in range(K):\n"," log_prob_z_and_x.append(stats.multivariate_normal.logpdf(im_flat_2D, mean=mus[k,:], cov=sigmas[k]) +\n"," np.log(pis[k]))\n"," log_prob_z_and_x = np.array(log_prob_z_and_x)\n"," \n"," prob_z_given_x = np.exp(log_prob_z_and_x - np.max(log_prob_z_and_x, 0, keepdims=True))\n"," Q = prob_z_given_x = prob_z_given_x / prob_z_given_x.sum(0, keepdims=True)\n"," \n"," log_likelihood = np.log(np.exp(log_prob_z_and_x).sum(0)).sum()\n"," if not i%5:\n"," display.clear_output()\n"," print (\"Iteration: %d log-likelihood: %g\" % (i, log_likelihood))\n"," make_plot()\n"," \n"," if log_likelihood >= old_log_likelihood:\n"," pass\n"," #break\n"," old_log_likelihood = log_likelihood\n","\n"," # M step\n"," w = prob_z_given_x\n"," pis = w.mean(1)\n"," \n"," for k in range(K):\n"," w_sum = sum(w[k])\n"," mus[k] = (im_flat_2D * w[k, :, None]).sum(0) / w_sum\n"," deviation_from_center = im_flat_2D - mus[k]\n"," sigmas[k] = deviation_from_center.T.dot(deviation_from_center * w[k, :, None]) / w_sum\n"," sigmas[k][np.arange(2), np.arange(2)] += reg_covar"],"execution_count":32,"outputs":[{"output_type":"stream","text":["Iteration: 95 log-likelihood: 84156.8\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXoAAAC5CAYAAAAmq/Q+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nlpc1ew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ZugbwDUw1VoU5PwIF9MDutIq2xKtx1I3z2QZ1L1cazlcJ6Gx48D81FaG5Jlprl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8O/BG/8XSTQX+oSXj1tWmRJAz7WQH4LTn4Oddwvwxm2EEnERhQ6W5miS1XTg5mHqNhiZgxPPCW/u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\nta517SVuXUffta51rWsvcfv/AE8kGszoo+edAAAAAElFTkSuQmCC\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"7Cn6xr1PbCUm","colab_type":"text"},"source":["## Gaussian mixtures in sklearn\n","\n","The Gaussian mixtures are implemented in many popular toolboxes, notably in `sklearn`. "]},{"cell_type":"code","metadata":{"id":"yAzEy9ymbCUo","colab_type":"code","colab":{}},"source":["from sklearn import mixture"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"8hHwVzPlbCUr","colab_type":"code","outputId":"275d78f8-487a-43c1-9765-8663ad3c0f19","executionInfo":{"status":"ok","timestamp":1578410919777,"user_tz":-60,"elapsed":37960,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":102}},"source":["gmm = mixture.GaussianMixture(\n"," n_components=16, covariance_type='full', reg_covar=1e-6)\n","gmm.fit(im_flat_2D)"],"execution_count":34,"outputs":[{"output_type":"execute_result","data":{"text/plain":["GaussianMixture(covariance_type='full', init_params='kmeans', max_iter=100,\n"," means_init=None, n_components=16, n_init=1,\n"," precisions_init=None, random_state=None, reg_covar=1e-06,\n"," tol=0.001, verbose=0, verbose_interval=10, warm_start=False,\n"," weights_init=None)"]},"metadata":{"tags":[]},"execution_count":34}]},{"cell_type":"markdown","metadata":{"id":"R7LyHvDZgNjQ","colab_type":"text"},"source":[""]},{"cell_type":"code","metadata":{"id":"9-iLfXSgbCUv","colab_type":"code","outputId":"b6bc4261-f080-49f3-9fb5-8a801f0b238b","executionInfo":{"status":"ok","timestamp":1578410921800,"user_tz":-60,"elapsed":38387,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":202}},"source":["plt.subplot(121)\n","plt.imshow(img)\n","plt.grid(False)\n","\n","plt.subplot(122)\n","plt.scatter(im_flat_2D[:,0], im_flat_2D[:,1], c=im_flat, marker='.', edgecolors='face', alpha=0.3)\n","plt.scatter(gmm.means_[:,0], gmm.means_[:,1], marker='x')\n","plt.axis('square')\n","\n","for mean, cov in zip(gmm.means_, gmm.covariances_):\n"," make_ellipse(mean, cov, plt.gca(), edgecolor='none', alpha=0.3)\n","None"],"execution_count":35,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXoAAAC5CAYAAAAmq/Q+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYinqq46STCsTPNTaVoBmoJqluh7OCdjnTsDKAah0oN2BZhOShqgYV9Z9GJq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+ZOvY+su9jnzX1/0bjRFd/ugcOnn66T/+vTt/JDew+zs6JmTa1uFefh7bsP4zzcuXAzd1r0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\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9XdIv9TNfgflF2gBpdfha5IUrrJzRnfC6d8LNN8CKImzYLLsY1xXteteooqQWORlNqibA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\ne1f5SozjfcCnLvC9XtCstd9FhPGez94BfNKK7Qd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"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"GzYeVVbHbCU1","colab_type":"code","colab":{}},"source":[""],"execution_count":0,"outputs":[]}]} \ No newline at end of file