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@georgehc
Created January 28, 2020 20:31
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 94-775/95-865: Dimensionality Reduction with Images\n",
"\n",
"Author: George H. Chen (georgechen [at symbol] cmu.edu)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We start with some usual boilerplate code:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('seaborn')\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Loading in a handwritten digit dataset"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Using TensorFlow backend.\n"
]
}
],
"source": [
"from keras.datasets import mnist\n",
"\n",
"images = mnist.load_data()[0][0]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(60000, 28, 28)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"images.shape"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"num_images = images.shape[0]"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"flattened_images = images.reshape(num_images, -1) # flattens out each training image"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(60000, 784)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"flattened_images.shape"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"feature_vectors = flattened_images.astype(np.float32) / 255 # rescale to be between 0 and 1"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"# we will work with a subsample of the data\n",
"np.random.seed(0)\n",
"random_sample = np.random.permutation(num_images)[:10000] # 10000 random indices"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 3048, 19563, 58303, ..., 15241, 26970, 26146])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"random_sample"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x138d697d0>"
]
},
"execution_count": 10,
"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": [
"# you can re-run this to see random digits\n",
"plt.imshow(feature_vectors[np.random.randint(num_images)].reshape(28, 28),\n",
" cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dimensionality reduction with PCA"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.decomposition import PCA\n",
"\n",
"pca = PCA(n_components=2) # project data down to 2 dimensions\n",
"feature_vectors_pca2d = pca.fit_transform(feature_vectors[random_sample])"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.09845044, 0.07117979], dtype=float32)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.explained_variance_ratio_"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x14c1e0e10>"
]
},
"execution_count": 13,
"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": [
"plt.scatter(feature_vectors_pca2d[:, 0], feature_vectors_pca2d[:, 1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dimensionality reduction with t-SNE"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[t-SNE] Computing 121 nearest neighbors...\n",
"[t-SNE] Indexed 10000 samples in 0.759s...\n",
"[t-SNE] Computed neighbors for 10000 samples in 134.520s...\n",
"[t-SNE] Computed conditional probabilities for sample 1000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 2000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 3000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 4000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 5000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 6000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 7000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 8000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 9000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 10000 / 10000\n",
"[t-SNE] Mean sigma: 2.123683\n",
"[t-SNE] KL divergence after 250 iterations with early exaggeration: 85.763367\n",
"[t-SNE] KL divergence after 5000 iterations: 1.705953\n"
]
}
],
"source": [
"from sklearn.manifold import TSNE\n",
"\n",
"tsne = TSNE(n_components=2, verbose=1, perplexity=40, n_iter=5000, random_state=0)\n",
"feature_vectors_tsne2d = tsne.fit_transform(feature_vectors[random_sample])"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x11380ef10>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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W5eLrv9iF1aJn0Vwb65ZUYy0wDstgkqPP6aFvIHm/yV5neME2EAxy3SXzknbcbCZnhd7r93P/pnqxiJqj+IPwnaca0GtUrFhYwccvnpi3ucPlpaUjsyJv0Ks52tbHiSxPje12eNnS0MKWhhaKzHpqa2wxTesKzYYhu49k8kpjK3OriigrNlJls0zpcE7OCv3GTQ1C5AV4AyFebmzl4LFuPvORcyi3msb1g29uz1y4JoJOo856kR9JrzMs+ofe6+a+G5fJir1Bp+HsmdakpyUHQ/DLvx4AwqmiqxZX8qEVM2nrdCXdJynT5GTWjcPl5fYfb8v4D1OQfRj1Gi44p3xYdkYi2ROZ+k6pAGuBkQVnWnl1T6ti0dhkwGTQ8INbLpD1JXJ5/Nz+8Ktx0yqTRTJ8krIp6yY3ViJGkA2zL0F24vYGeKm+hcf/fmhMLQ8tJj1VNnMKRybP19bXctuV51AzrXBSizyAyxPg20/Uy75mMmjRadMXWgmG4Hi7k28/WU9zh5Pmdseka4EZjZjRCwQKlJwqLvr8VbV0d8cP841l3adubinvnnTS1T+xFMxIZ66pxIoFZXzisrOG2kwWmg14fQFue3hbRsdl1KtZcU4FH0swFz+bZvQ5GaO3mPRUluaP2fNDkFtEDN4cgz7WXzQ3bsxWr9Uyb3pxXKFXq2DDB+ah12noc3r4yZ/2K34XTUYNg54ASvOxqSbyADvebGfv4S4MOg09Di/WAgOVpfmZHhZub5DN9S2oVaqsagKUCDkZugG4+UNnZ3oIgknCa2+d5LaHt3HXY6/h9StXkHp8gYRcSSM9TyNphXduWEK1bbSQVdlM/ODzF/DIF1fzreuXcPN/nEVh/tRZIIzFgDtAt8NLiPANd//R7rjvSRcN9o5JF8ZJ+oxekqQGoP/Uf48BvwB+BPiBf9vt9nuTfc7xYCvKI9+gZcAzsdJvQe7Q3D7Axk0Nit72fU4P3TG8W5R6noZCKm64bB7tXS78wRB5eg0104uHPUHMqiwkP09H/8DUMKGbzPQ4PEkvtks1SRV6SZKMgMput18YtW0PcAVwFPibJEm1drtduVVSmjDoNEgzi2mwp88XXjD5ieVtH6vVoMWk464NS4f1PA0Egzz9YhOv7mklEOWDVl2Wz51zSsZ0fEH6KLYYJl23q2SHbhYBJkmS/i1J0mZJklYBBrvdfsRut4eAfwHrknzOcXPjZblRFSdIHhFvezkidsVyLDvrjFGNrZ/dfJgtDcNFHsJPDvdvGp19Euv4gvRRJ9kmXXFVskM3LuAB4NfAXOAfQG/U6w7gzHgHKS42oU1RKpXNZhn2/4uXTeOF146n5FwjqSo1YS0wZlW8UTA21GpYNL9ccUZ39cUSJ7pdvNPWh3MwQFlxHssXVHDj5Wej0ZyeV7m9fvYc7lQ8T3P7APq80c02Pn9VLUajjpfeeI9Bz+SKEyebTGQcmfO0bLjsLAZ9QYoLDBj1sSV0pN5kimQLfRNw+NTsvUmSpD4guq2PheHCL0tPz/hd6mIhl+501erZHDrWkxaPkvkzrVy9ds5Qz9GufveUTI+bylSVmvEOeukYHB4rV7L71ahCXLaselR6ZnuPi8447pa797ewcM7oGbzb7ct5kYfM/G6cg36uu+/fwOn0WyVztAylV8puT3bo5kbgQQBJkioBEzAgSdJsSZJUwKXA1iSfc0Jo1GruumEpa2orKTKH465FZj3L5pex/KwzMBvD90KzSYfJMPopQ6cNX0LVqezVQpMWvU7+sjY2deIPhFi/rob7P7WM//n0cn5460qK8tOb5bqmrko2yyOCbCKugHyjdtRCagQlT/e2bjcbZcy+Cs0GCvN1o7ZHY5bJsPH4ArxxUFhnZwOR9NtnNx/O9FDikmyFeRR4QpKkbYRvuDcCQeC3gIZw1s1rST7nhNGo1Vx36TyuWju6wfDIpsMOl5djrf1YTDoqT1VC9jk95Bm0DHr8eP1B7n70ddnzRFvjRjv2LZ1fntI2dHqtGl8giPWU3/dly2fw5Z9ul91XiLwyOq2aUGj4FQoEgzzxj4MxG3ccbx+9gGvQaairsbGlsVX2PRp1+Olh5Ll+8y97Up0cBRMnVb0NkklShd5ut3uB9TIvLU/meVKFnF3qyG0Wk56Fc0qH7RN53WLS4/EFFDMjii1G2dju1WvnEAyF2La3FW+SrWPvu+k8bEV5w25W+w53KFYFZyqMtHC2lcPHe3EloQ3fglnFdPW7aUuywVef0zsqrS7cPjD+DFuuOfn6i2toau6VbaixanHlKOF4dvPhjPcbFoymq99NR+8g1RmwwEiUnC2YShWxMiNqa0pl7/oatZprL5b40W2rKC/Ok3nn+CgpMAz1yiwrNqHVqHjyn4d49G8Hk3aOZGDQqbnpg2dhLZz4315ly+eLV9dy9yfOZVqZOaEnlNJCA6sWlVNsjl2MZC0YfqP2+AJs3Ss/Ix9JmcznqlGruecT57GmrmoojGO16GXbHDoHPWxpkG/qIcg8v/zLW5keQkxy0gIh1Si1SItsV8Kg0/DN6+v47lONnOh2TXh2bTRo0WpUOFxe7Md7efz/HWDQN7EZc0G+jv4BHwX5OtxuP97AxJ8BPL4g9zz22oQavowsRtKo1UjTi+hzeuh3KR+3wmri7huXotdq8fgCdPe7+dnzb8paEiycbcXp8lL/Xi/S9CKcbn/CT2D/89sG2YU7jVrNdZdIXLVmzqiwYTTffaqRgDBnylpaOwcU6yuygZw0NUsXI+P7sRjVztBiYMYZFt5p66d3AtWQGjWj8rSnGv95wQxWLqwclqf+2xfsvFQfewZsLTCw8VPLR302Xr+fbz+xm5bO2NlfahVjNsYbS1PyCA6Xly88vE1kZ2U5X7lm8bDwXDaZmonQTQqJhEwSWaSJNFXu6vcQIlxmvedwJ5Y43iZLJRsGhSwfSK/IlxQYWV1biU6T3K9VvPDL/21/l41P1fP0i00EgkE8vgDb98ePZdfVyBe+PPfy0bgiD2MXeQg/5Y3VJ6W53SlEPstRqaC6TMToBTGIZYblcvu4sLZilJgbdGouWlLFB1fMxDPBcEyyOPvMYi5ZOg1fku8u1WVm1tRVxtwn0gf0ty/Y6egdxO2NLaYrzymXDaUlsxG1HJHMq+jztfe4Yop/dZkZtUiHymqqSvOzNmwDIkafNhwuL83tTtkWZbHMsHocHt5/3gyuXltDR+8gXp8fvU47tMj67sl+2fdlglf3tKFSqShJoh+LVqPiK+sXk6fXolGrabC30+1QDmW93NjGigXlcY87b3qxbJFLn9MT8/gTJZJ5NTJUZ41RfBNpapLpxuMCZb6yXr6+IlsQQp9ivH4/Gzc10NIR7mol16IslllVRBgMOs1Q+lZ07P/VvW1p/XvisevNNrSa5OUT+wMhvv/0Hu698TzWr6vhitWzaWhq51d/Vc4c+vuu99BrVDEXiqXpRbLbC80GVCoU/d8nSiTz6ukXm4bVTkSKbwDZGP4d19excVODEPsspc/hxpIXuwAuk4jQTYqJ/Dgj8dxIi7LoaslEUzIDwSBP/esQX//5Dr7+i1188xc72JlledUeX4gBmeIhk0ETM/xQZFb+kUQcIyF8rXxxQlX7D3ehinEyc552lMFYBK9PucmHEiPPpFaFHSgvrKukpMCIWhVev1i3tJqr186JGapTiuHrtVruvfE8vv/fK7AVGcc2QEHK+dFz+4bWiLIRMaNPIQ6Xl5YO+RnYSLtbuZTMBWdaOWt6EUfb+ii35vOd3+ymNaq4ZiLpiOlm0BOIuaC4tq6aP716TPa1iGNkJKPh7FlW2f0iBEIQULgZ5Bs1fO+z5yu+91hrX8xjy3FhXRWXnjsNjVpFe8/gsPBc17JB7KfSMSM3l64+V4xQnTum13lJgZHvfWYFvU43T/7jEHuPCIO8bCDeE1mmEUKfQmI1IY8Wr0j8/vIVM7li9Ww6+1z87P/e4pU9rbyyJ7GCnGwnlsirVbCkxsbzW4/JXi/1iIyGksI88o1a2ScHJcx5Wr7x8ToqSmNnRsj5y0RTWmDA7Qsw4PYPWUpEx9UjYh4rZJdIqC4eRWYjt310MY88v5/dh0RPhWyh/lAHl6+YmXULs0LoU0gkW0JJvM6wGrn7sdeHiUFJoRGdRk1rV2ocPDOFWgXlJSZaZdIWq2xmKkrNiguOkdZ70fzvf5/PbT/ahj/Bgi2X2z/MJliJqlJzzNqDe25aRiAQVFxYjzAynh4dsrv3xvOorbHJ+hspVU8rsXphpRD6LKLH6eEbv9hJTXURt398SaaHM4SI0aeASMocyJe+Q1i8Hvz9vlHx+45e95QTeQj/vXfdsJRpUamCahVMKztdzXrH9XVUlpqGYt4jX48mT6/jh7e+j7oaG/mnHEatFgNGvbxIFlkMnOhyDcX6lTDoNKxaLJ/KeWFtBc9vPcp9T7zBA7/bw31PvCEbl40Xsuvud3HovZ5h2zVqWFNXGbd6eiTTyy0i9TLLcHkC7DnSxYb7/s1dj8buM5wuRGVsEomkzNUfOqkYP1cBlaUmQiA7u52KVNvyuXPDkqEsI7lU05GhDghfp7tuWDr0vgjRqYld/R7MeVrmzyhmwwfm8fzWY3GdQCM3j5HHHXn8SCqnrcjIojmlBEMhNstU246sdj34Tjff/90exfPbCo109I32op9WZlbsRxuLux97XfZJyGzUxnTVBDDqNeHF35Doi5Aqxvu5jgelyljNPffck5YBjAWXy3tPKo6bn2/AFWdGN1YcLi9HW/ow6jX84eXDbK5vwR3HgXHQ4590VrNq1fiEYNXiCm6/avGw3HCDTjNUBxDhvid2c3xEBajD5WPv4S7W1FYNO+bvXnqbF3c3DzXf8PqDtHa6eLmxhU9/eAGBYIg+pxe31y9bVds/4OX1gyd436IqBj3+oc8vMh61SsU5Z5awuraK9y2s4KpL5lGQp+X5V48yKFOI1ef0snpxJdpToSG1CsWbjVqF4tqC0+VlTV3VmO1uLzjnDPYe7sLp8hLi9JrGvTedi9cXpM/pwe0JYNCp0ahVBIIhSgqMXHBOObdeuZBVCyvx+v28e1KkbqYCx4CXteP4XMdDfr7hXrntIkY/TuQW2xItiU80rpxNFJi09A4k/ghq1KtZcU4FH7tobtx9x5KdFLOK2BPgiz/ezqI5VrTa2Lnw7T0ePvfQK0RHXSJPHqGQio7eQQLBIK/ubeOtY3vp6BlUvNH1ONy0dDhweQLstrfz1tFuxX1LCo10KHSWCobCWT8Wkx6Hy8esyoKEFvUiqZdyT0qR2oNI3QUwyn/JZNBx6XkzeHVvdqXqThVCwLHWfspLTAn5XqUCEboZJ0qPy1ORCqspYTfNz334bM6wmrCN8Php63Sy93AXi+aUjMp8iRfq+OQH57NkXhkGnYb2Hhdf/8Wu8f4pcdGoQatV4xmDL75GHb6pxLrRR7Jubr1yIV/72Q7FfUcWaymFr5KNxxfg6z/fMemeNCcL5jwtzkF/3PaDE0UpdCNm9AkwcqYUawY62aiwGlFr1LLNLyC8Wj+7yozXH0jI1sDjC1JddrpvpdPt5Ys/3j70FPP7l4+g1aj47mdWMDjoBZWKsuK8mE9Ev/7bQf689SgLZ5ewanHVuFwjEyUQhMAYm5/Es/bRa9Vs/NSyodTLWHYGI+ddrZ0uvvzTHTx0y8qUCEMEg05DnVQmPO9ThHMw/DQcybcPhUJ8/GIpbecXM/oYyC0QlhfnccWFZ/LTP2d3o4FEKCs2cM6ZpXHtfCFcaDTgju+6+P3Pnj+s6vTm72+JG6oy6jVoNaqhH8NkIZHFzgj33XTekIWFXNgPFcQqqly9uJIN75+XhFErEwgGuefx1xVv+oLkYdRreOiWlUkP44gZfRzk4pty3iIneganhMhDOE69pTGxGdyAO0BVqQm3N0hXv3yMeaS1QFunM6H1iIjTpDlPy8Cgf9JkfyQq8sCwqXoopOJzH1kwVElrMGi4/8n6mG/fureVVYsqKC0Mt4VEpRq1oD1RIh2vfvNvOzv2tzFGN2XBGHB7A7R2OphVIe+5lGxyXuiVKhhvvXLhlAnPxGIs1hxtnS4e+PwF9A14efCZxmFCZ87TjrIW2Hu4a0xjiWTRTDWMeg22YmoUmYkAACAASURBVBMuj59nXmji0Hs9Q46Vi+aWEgyG4oajgiH49oibgVGv4YJzyrnmorn4A6GEm9zEQqNWs+H98/H4gux6K34vXMH4+dVfDvKdTyvbcSSTnA/dKC2q2oqUsyNymeVnlXHzhxYA0NU32sclmrZOJ3f8+vV0DzHrWFNXSSAQZOdb7fj8yTe9mlZmxuX2xbU7ThSPL8A3frGTXmfq7JoFYe7csISqUnPSnsxE6EaGWIuqnTIFLQI49F4vHl8Ag05DSWEeK85RbuhdUWpGq1FNynTSZFFuNfLGwfaUrj9ET1SSsdjX5/QIkU8T9z9Zn/JMHMhxC4RYpmNZ+KCTFfQNeId1SIrHD265AK0md2v0T3S7M7LIvH3/iTG3LIxQaDZQbIlvrCZIDpGb87ObD6fsHDkt9GXFeXH7kQqGU5RvSMhdMYLZqOeXX1nDN6+rTeGoBCNxewN09A6O670GnYYlknx/BEHqGE8/4UTJydBNIBjk6ReaaHy7c9JkeGQLi0+5K0Z3uUokvvjY3w6lYXSCYUzgsfTqtXMIBoO8sqeNgMJjr0GnQq/Xha0XxA9pwsTrRTARck7oA8Egdz/2es4YiiWTaWVmrl47m6dfbEqo12kEh8vLie7xzS4F42fLnlbWr5s7rrivRq3m2kvm8dE1c2ntcNLd78Fs0qHTqkClQq8N+xVVVxZx6HA79z25G4drdFVtsVlPnkE7JR1Zk43FpCPPkBpJnrJCL+uQ6PXzhYe3jalhhSBMtS2fu25YyrObD4+p1ymEfT4E6WdLQwsatWrU5xIvWyoag07DrMpCZsk7NwPhZivLzjpD1shtUU0pR5r7U1rNPFXoG/Bx3xNvpGRhdsoJfazOPl/60atC5MfJoCeAy+2P2ev0itWzZcM4FlP2Nk2e6kR/LoNeH1/72c5hi8OR+oc8/cQ+I7lWmLU1pRx6r4fm9oEJHTuXSFVLwikn9Eqdfe55/A1OdonwwXjpcbhpbneOq9dppc2MWj224ixBcoj+XL72yM5R1bzOQT9fe2QnD39h1biO7/b6ae9xUWg2jHLK9PoCbK6P3RtAIE9jU4fixGk8TCmhj5UXf0KI/IQothipLjOPq9epQafhfQsrp0z/28lE5HPp6htUtGxwuv109Q3GDeNEE2nOsu9IFx09g8PWaiI3+6MtfSJcM066+j1JXZidUumVsfLiBROjtqYUi0lPbY182l28XqfXXlJDlS0/VcMTKODx+VGpQrx1rDvmfvFeH0lkrab9lE+/XC54dZlZpC+PE5WKpC7MTimhL7MmPy0p11GrYE1d1VAM9uq1c1i3tJqSAmO4mXmBkXVLq+P2Og0bZp1LZUnis0bBxHEOhtesyuP8NuK9Hk2s5i/RueAWk55KcXMfF6FQuBNdskhL6EaSJDXwCLAI8ACftNvtSS8D+9Fze5N9yJxn5aIKrrvkdCm9Rq0eFYtNNI6oUau596ZlPP3i2zQcaqdPJh0vglGvGXK1FEyM5g4nA+7YDUVmVBQkfLw+pyfhtZpvbVjCl3+6Y9JZUGcac552TIWJ8UjXjP7DgNFut58PfB14MNknCKdTitX9ZDKtzDxM5KMx6DSUjegilQgatZrrLpG471PLqIgxi7zgnHLWLqnCoJtSD50ZIRSCH//pTcXXL6ytGNPnWGg2YC2QF6GRazV6rZaHblnJqoUViQ9YQF2cUOhYSdevaCXwTwC73b4LWJrMg3v9fu59QrgkJosis541tZXcdcPSoVxeh8vLwXe6cSSpufoDz+yhrXt0EY1GDeuWVvPRNbNRq1SY83RDYzpvfllSzi0IU2zRs25ptaz5WazP26DTjGmtRqNWc8Nl87n7hiXJGfgURwVcd2lym8ykK+umAOiL+n9AkiSt3W6XfZ4rLjah1SZ+N7vlwS109wu3vYnygfNn8JEL51JcYMCoD381vF4/X/nxVo5GFT1V2fL59EcW4A9CzbRiDHoNPf2eYe+DcOqd3PY+p4eWTuVWejdcvoDfv9g0rACn1+nl9YPt5Bm0SY1d5irFFj0//vLaUeGByOf9zol+gsHwouCMMyw8eNsq9Kc+Q7fXzxUX1aDXa9l98CSdvYOUFuWxfEEFN15+NhqN/Pxx/7u9Kf+7pgIqFVgK8sjPi98YPlHSJfT9gCXq/2olkQfo6Um8XNrh8vKOqLycEGoVvP/8mXxk5Uw0oSCOvkEirv3f+vUuWkbYRbR0DHDXL187/f5TOfJWi555M6z816qZ/OnVdzj0bjc9Di/WAgMLZ5ewbuk0rAXGcNqdQk59MAS732xl+175zlfZ2D9hMtLj8NLc2ot3RPreyP4MoRC8c8LBhvv+xQOfW8FzLx8dZn+xbEEFF5x9BtYCIwadhu5u5fBpZZFwxEyEYAh++HT9UN+HsWCzWWS3p0votwOXA7+XJGk5sD9ZBz7WJkR+oqxeXMlnr1g0qimLw+UdJfJyRES72+Flx5sn2PHmiWGvd/V72NLYypbGVgrydcytLkQFsoZyalV4IUppsc/tDWDQqvGkoIFHLlGYrx81m+91uhWbljsH/dz3xO5hHlFd/R7+vuMdvF5/QlWcJYV5mPO0416YNerVmE16OnOgIdDBd0/3fUgG6YrR/xlwS5K0A3gIuD1ZBzbnTamar7SiUau4aEkV6y+W/5E2vZf8R+3+AR/1dmXX0CqbmSqbRXGxDxAinwTkFvt+86+mmO9pU7jpNzZ1JGyve+eGczHqxydebm8wJ0Qext73IR5pUUm73R4EPpOKY1fZLDlvmFRSYCDPoKW5Y2xZR4X5eq68MIZ5UpqrXaaVhT2J9NrwYp+cSZYSVosek1GHw+Wlf8CHWg0BcT+Qpbosf9TN3eMLcLQ19o1d6SfW1e/hiX8c4JP/cbbid2mkB1UsNED0bcOgU+P1BXPOUlyTxIY9k346bNBpqJtnY/dB+QKOqYpep2LFgnIuXjodc56O5nYn3//dnjEdo9cZu8y62JK8xaBEmFNdOCQUI02yCvL1iu3tVEDNtCJ2HWgf2iZEfjRmk45z55XJWhf3OT30Dox/kfu1Ax2Y897m4xdLsr0KRnpQxeKWK8/BWpiH1+dHr9MSCAS494n6mO9RqaZeV7gf/G4vG29enpRjTXqhB/jg8hk5J/ReXwi1Ws2WxhYamzro6vcoxr2VUPKn6Rtwc8cvX8eV5uyWLQ0tDLr9bPjAPAw6zbDCrDyDlvueeEPWZycENDS1jz4gYT/0y86fwW9feDvFo89uisx67r3xvCHL7pEUmg1YLXq6HePPXnt1Twtur599R7pxuHwUmfXUzi3l8gtmKnpQjUStglmVhcPG+c9d78Z9X1VpPk7XxG5W2caJHhcOl1fxMxsLU6Iapdyan5OFNTv2n+DF3c1D4jfWCc3InOdAMMjTLzZx+493pF3kI+w6cJIvPLyV37xgJxAMYtBpKDQb6HN6mFtdpPg+r8Jwe5xe5lQXjTsuPFU4e6Z1mGB4fAHae1xDsXWDTkOdNLE6BV8Atu8/OdSApNfpZUtjK9/ZVJ9waLXKZh4lbIvmlMR8T7k1jzs3LGHp/PJxjTtbCYXC/l3JYErM6A06DSsXVvBSvXxK3lQlEYsAo17DsrNsePwhmt7tpdfpGfIKH+lPM7KpSKbw+IJsrm8hGAzi8gTYY+/AGxj/c/mre1q44JzynPt+RDDq1XzsVEw+4jop1yHs6rVzCIZC7Nh/Iqn2E50KGVTRRPeNGElFqRmtRoVf5jugUcN3bj4fCIf7/MEgW/e0TonQnVoVNoZLBqpszEvu6HCMeVCBYJDfvfQ22/a14fGFP2WjXs3CM0vwB4I0vN2V9HFmKyrgtisXYi00YivKG5q1x+rzainM4zPffVE2NDLZKSkwcu9N5/LHl4+wpTH3rJLXLa0eSn98ekQhWvQ+0WGy+zftpiMNGS7lVhOrFlawaE4JFaXKouZ0e/nij7cPE3utRsUPbrkAs3H4E4DHF+D4yX5++deDdPZN3iydaWVm7r3xvDG9x2azyK7gThmhj+DxBejoHYRQCFuUF8u+I5388A/7kjbGVDGWDCIl46+SAiP3f2rZmHJw/So1n/7ui1Mys0Gtgu+cWtT6+i92ZXg06UOngVWLq7jmovDiq8cX4M5f7ZK9mRt0anRaddrMx9QqUKtVBAIhQgyf0eu1yoGGtk4new93xb0xQCQU+TZ7mjrpHfBgtRhwewOTostclS2fb21YEvNayKEk9FMidBONQaeh2jb6CzCromBSdDkKhcBk1OByKz86Wy0G6iQboVBINhwRzxve4fJyrLUfi0lHpc2MQaehuMCg2FRksqDThOPEIyky63G6fRAKjXnBcawL3NnEd24+f1gzkT6nR/Hz9fiCQ0/C6UCrVeH1nb6ykU5wGzc1xJzFVpSa4wp8hIiB3lVr5gw9yWo1Kn7z7ya27mvNSi3Qa1V8/78vSMoCbDRTTuiVsJj0zCwvGObZko2EgJsvP5vnXj5CS+cAoVBYbM6wmvjSNYsJBIJDoZdAMIhKpRrVp1PJG97r93P/k/XD8u01ahWrF1dw6zVLmDe9mO0jqlonA3qNCq1Whcsj/8vtdni5/8lwep6CDYsik1Xkq8vyh4m81+/nJ39KWkH6hIkW+WhaOpxJyzSJEHFajbDh/fM43NJHyxjrTlKNRg0P3bpywv175cgZoQf4/i3v4wsPvZJQ0UY0S6RSWtoHONGT+naEalX46eO+m5adsl52Ul02OhMBxu4Nv3FTw6iiqkAwxOaGVsz5Rj52cQ31Te24vVk41RnBmtpKVi2u4p+vvcdrB04mvFg7FRbp4qHVqLhs2QyOtvVRVRp+YpP77LOR4KlMk/kzrSk7h8Plpa0z+65FQb4BtSo12YM5JfR6vZZ7bzwPh8vLeycc7G7q4M2j3fQ43IrCX23L53MfWYjHF+AbP98eN09XBdx5/RJe2dvCq3vHPjuOTi+zmPQJfeFHzljkiNw0lNi5v40PnDeNlQsrsyLzRgkVsHJROesvruHZzYd57cDJTA8p6/AHQvzyrweA8Cxx+YLypKXppZpkZpooEa/lqE6rxpcBm41eR3L7xEaTU0IfwWLSc/aZJZx9ZslQJorJqOF/n94zFC4Zme5l0GlYOr88rgiGCKc9XnfpPPQ67VBYRa+L3TEpVnpZMmhud8YMQ3T2DdLn9AyrSO3qz76MhRCwfd8JjrY6cE2CRbVMEwiGr9dkQS6PPtlEetkq/R78gSArFpRz6N0euh0eLHlagqEQg55ASq1WCs2jjeaSRU4KfTTRs+F44ZJInvG2va14/fKfeGRGMjKsYjbpeX7r0VHx9MuWz6Ctc0AxPJMs4n25SwvzKDQbho37RLeLjZt2y+Yvp4v/WjWLHW+e4ET36bBZMETWxVcFEyfidZRqIr1slb5DVouR6y4NN2OJDolGtKHIrOeOXye/0VFtjS2pXaWimXLplbGw2SyjrHjHg8cX4N7H3+CETIekeLmvsXLZU81Ir/FoPvS+M/nwBTNHbQ8Eg3zr0dc40ZX69Qk57r5hCd9+MvHKSkF2kWjvX7VaxU9vX5W234TX71fsZbumtjJuh6dvPbqLlo7E+2bEQw08fPsqTIaJzb2V0itzzzcgCRh0Gu65cSnTysyoT11WtSqxGcl4e60mgzuur6Palj9sm0atYm1dJTdefrbse/yBEL40pt1FYzJo6RvwCZGfpFSWmnjw8ytYt7Sakhi20wDBYIjWBP1wkkGkl+3qxZVYTGFxjfyW9x3p4ukXmwjEyL/81oalo35LEyEIOJPUplMOMaOfIPEyY7IRuTx6pWvT3uPiG7/YlbE0w4k0qhBknlWLyrnhA2fh8QV47a0TPPFPu+K+X7hyIQvnlKZxdGGe+redLQ2j61GiK4qVcLi8vFR/nL9sj2+8FovxFDnKIWb0KSKSGTNZRB7CY144p5RZlYVxv1iFZkPMJiCpRoj85ObVvSe469HXUKlCzK0ujLmvrciYplGdxuMLsO9wp+xrjU2dcRuqWEx6LloybcLjiFfkOFGE0AtiYtCFm4AoUVJgEF2+BDFp7hhg46YGxX4CEeK9ngr6nB7FtpU9DndCXZ4sJv2EwjjrllYrFjkmC/ELFcRlZBOQYouRhbOtQ82+VarQqIpbiO3boyYcl0wH37p+CQ/9Ye+UezpQqcCo0zCYRKfJVNHSEc5WUfpOpCN/Xo7IE6ucNYRSvwY57tywJFyUdiqNWQXMqizgsx9eQHu3i5IiI/c/uXvYd9Bk0HL/zcsoyk/9E7MQekFcEqnAjaSmNh3vhRDUTC/CoFfL3gAgfSIP4VTMqSbyEPZFmgwiD2Fx73V6qbKZZTO/0pE/L0fkiVWuPmYs4RS99nQxZmTN7swZJXR0OCgpCIekHr5tFV19g9jf60WaXjTMoiLViMVYAZDaaxNZ/N26r436ptzqBCYIo1LBD29ZiUGvHtY7NlHXylRy2qN/tGeUYj/lBMiE3uSMe6Ug+7CY9EgzinkyRsaFYGpjKzQOzdhHznwzncgwVs+oyYhYjBWkhT6nh94EFrYEU5P2Xjd3P/Y6Xn84hJaN2WqZrHFJNULoBWkh02magswT8ZsXpB8h9IK0EC9NU5AbRPzmBelFCL0gbVy9dk5C5fCCqUvEb16QXoTQJwGHy8vBd7rp6hukucNJc7sDh8tLe48Ljy+AxxcY+ncuE1n0uvem87Casyc2K0gfmcqXz3VE1s0EcA56+O5TjZzodil6wRj14Xup2xukpMBAbY1twmlbiZJJp8xYPL/1GN0ZqIIUZB6TUZtVC7C5ghD6cRDpLv/Knpa4DYaj2/J19XuGCjOizZI8vgAdPS5QqbAV5Y1ZlEcK+um84A66+z1Y03yDiTfWRpFLn7PotWo8vkBWTTxyASH0CRDJ+S0rzsPrD/LI829OqPFFY1MnV6yejVaj4pmX3mbH/rahG4JRr+GCc8q55qK5cUXZ5fHx9Atvc+jdbnocXqwFBhbOLsHjC7Ijqsm30g0mE8TyFhFMfXqd3pS1yxMoI4Q+Bl6/f5h/RbKImCW9WN/M5vrh9qhub4CX6lsYGPSx4QPzMeg0QzP2PIOWQY9/qFvVtn2to54YtjS2Kp43coPJ5Gyq0Gyg2KKn2yFCN7lIscWQsnZ5AmWE0Mdg46YGxY5ME0GlAo1GTYO9XXGfXQfaaWhqp7TYhGvQP8zZT6sB/zjWdSM3mLJiU8bi9wadhnkzrMOeOAS5g8moE2GbDCCEXgGHy0tLijreBILwwDMNcWe1Xj+0yrQrG4/IQ9iNz+vz8+AzjbR0Ougb8A+Fe666ZB74kxM7jXcTWX/xXHYfOinbd1enhgw1tBJMELU67BS68akGxT7DTpdXxOgzQNKEXpIkFdAMvH1q00673f4NSZIuB+4C/MBjdrv9V8k6ZyppbnemtIXdyR536g6uQK/TzV2P7R62LRLu2dLYSrHZwOKaUtavi78+IEeii8AatfrU/0ffsXQ6LT7P1HOazAWCwXDoMVYz+R6nl+5+NxUlyWvDJ4hPMmf0s4EGu91+eWSDJEk64CHgXGAA2C5J0l/sdvvJJJ533ESyXbyBIHqtZljGy1TM9Q3EmSn3OD1saWjhcHMfd92wdMxi/+zmw8PsXkcuAgeCQZ556W22723D45cfjNvrpyhfS++AEPvJyC//eiDuPi/WN3PdJVIaRiOIkEyhXwJUSZK0BRgEbgcMwGG73d4DIEnSNmAV8IcknnfMDAnOvlY8vtOzD6NezQXnVPCRVbM5+G5PBkeYWY63O3nq34e44f1nJfyeWGmTkUXgP75yZNTi80iCIZhZXsieI11jGrMgO+hJYJF93+EuPGtE+CadjEvoJUm6ibCQR/M54Lt2u/0PkiStBH5zap++qH0cQOzGkUBxsQmtNjVfApvNwq+e3y8rOG5vkJfqW3gpjhjlAtv2neCWq5dg1Cf2FWnrHKDbodySza9SsVehN+dIDr6XuzfZXKDH4Uaj12ErnfrhG5vNkukhAOMUervd/ijwaPQ2SZJMhOPw2O32bZIkVRIW9ui/1AL0xjt+T8/oBchkYLNZaG7tZdue0d1kBMMJBuH/Nts5d345ep0mboZOwBfAapFvyaZSQXu7g47exNYlPGI1dkpTbDES8PqmfBOgDDUekd2ezNDN3UAX8L+SJC0CjgMHgLmSJFkBJ+GwzQNJPOeY6XN6RA53gvzmhcP85oXDaNTh+H4sC4dYLdkCQXj8H4ewivx5AWNr0SdIDsmsh/8fYLUkSa8APwBusNvtPuCLwL+AnYSzbjIaFyk0G7BahNfGWIgs4kYWV5/dfFh2v8uWT1c8RmvnAAvOtKZieIJJgrXAwLql1UPN5gXpI2kz+lMLrh+U2f5X4K/JOs9EMeg01EllsjNPQWIoVdi2dSqH3IIhWDrvDLRaDTv2n8A9SZpaC5JDuTWPuz9xnpjJZ4icLJi6eu0cgqEQ2/a24BVZfGMmusI2muoyM2oVsvUHahXMOMPCglklfPTCOXT0uDja1s8T/xB9ZCcLKiBE+LM8o8TEiS4XoTi1JsObfwuRzxQ5KfQatZprL5b46IVz+NavXqOzP/3FS5OZYotR0a+kpMBIR9/o61llO90E2qDTUF1modBsYNM/7SktTBMkj+9+ejldfe6hht53PfoazQrmfsUWAxsulZhVWSBsibOAnG48YtBp+NYnlpJh595Jx8jFNK/fz92Pvc7tP942SuTVKphWFp7RjcRi0lNlm3qFaVOVv25/Z1hD7zs3LKEgX17El0g2Fs4pFSKfJeS8xFny9Kytq870MCYFJQVG2cW0iPnbyJm5rcjIQ7es5N4bz0OvlX94vOP6OqwW4WY4GXjrna5hXdL0Wi2b7r6UVYsrKDgl6ErfEUFmycnQzUgiMXuxSCiPWgXf/uQyrAXGUYtpsczfumRCOCPRa7V849o6vvKznUkZqyB19Dp9o9ZmNBo1N7x/Pp6LsrObmSBMzs/o4XTM/qFbVnJGsTHTw8k6QiEw58nby8Yyf0u0EXRJYR7mPDHnyHaKzTrFtRmDTkNZsUmIfJYihD4Kry+QcPVmLhFCWbAjmTZyjKUR9Pc+e/6kFntb0dSfICyZd4YQ8kmKEPooUm1NPFmJJdixFlSjM23ikafX8fBtq/j+Z8/nhvfXUGBKjein4omtpMDIN65dQrl16rbHW11bIeLuk5jJO4VKAbHywHOZytL8mIJ9x/V1bNzUQEtH+EYZnTs9VkoK85g3w4rD1aS4T4FJx2XLp/O7zUcU97nxsnn8643jtHUODI2psjSfGy6bxwPPNA5rwThRTEYtGzftprvfg0GnxucPTrrvkEmv4dYrF+L2BZhVUYDXF+CtY12cUZLPzPICMZOf5AihjyIyO01F+8DJzM0fOjvm63qtlntvPG+oiXokz3q8FJoNWAvkDdIgnLq3uraaP7x8RNZjX6OGc+efwcqFlThcXt496WDr/jYOHO3m/ifrMejkY01qFdTV2PD4A+w/0h13nEZ9uIdB9PclYshWbjXR7RjE65scim80aJhRMVzQVy0W2WhTBSH0UXj9fgJB4ZwYTUmBEVtRXkL7Wkx65s+cuJ9NLIO0aWVm1l9cg0atZtXiSrY0jG6Gvmpx5ZBgabUqHn5u37CuR5EeBAadGo8vSGG+jvkzrFx7qYTJoCUQDPK7l95m2762mE6aJoMGl9sn+5rPH+T7n72AvgEvf9/5DrsOKPcHjhCpPM0EPU4vrR1O3N7AhG/UguxDCH0U9z9ZT2sMv5ZcJFNOg5F4cGNTJ90ON0X5o9scrl8XFvwGezvdDi9Wi546qWxYLPlrj+xUbG2Xb9Rxx/WLhnUWg3AW1scvlrjywjnY3+vhR3/YJyvAsZps9DjcDHr8VNvM3PQfZ2E26Xnj4En6BuRvDABfvHoRj/3tED1O+SeZVKJWqbh/U/2QxcFp2wIhEVMB8SmewuHyKpZz5yorFpRnbAFOo1azfl0NV6yerZifHW+frr5BnG5lM6Nuhwe9Vq14IzPoNEjTi7EV59HeMzjq9WKLAZUK2RBTtE1EZJyXr5jJ7T/ZhtxDo0YNc6qLmFVpoacp/UIfiFpUCIbCXcY2bmrg3hvPS/tYBMlHZN2cwn48bj+UnKKkwMB1l0rjahKeTBLJz1bax/5e7M8036hVzAuPPvbyBRWyr9VJNmprbLKvjXwS8vgCDHr8rFxYLrv/+06Fm65Ncy9Vg075823pcOJwif4BUwExoyfcQ/blRtE+MJraGtukz7SQphfFfH3x3JKE/sYbLz8b16CXxqZOehxuii1GamtKhz3tKL0WCAZ5dvNhGps66O73YC0wMK3MjGPAQ++Aj2KzniXzToebiszh11OdELBEsvGfK2fR3efmh8/tk90nUvCWjHUXQWYRQg88u/kwB94RfUohHJ9dXVs1JXKmIxW3zsHR4RutRsUNH5if0HE0mtgholivPbv58LBF5a5+D139HtbUVXHpudNkQ1Jy6aqVpfnc9B9n8XJjC9v2tQ0LtYwk1qKuUa/hgnPKueai8FpHYb4+prV0ogVvguwm54Xe4wtQb+/I9DCyhtWLK7kuzeGDVPK9z57P1362c5jYm41avvff5485LBUJESX6mscXoLFJ/ru173AXV62ZI/tEEStddcP753HNRXM53u7g7zve5Z2T/fQ6fZjztCyaW8ply2ZgLTDi9QWG3qvXaejocYFKNWrhOVZK8VgK3gTZTc4LfZ/TQ48j/Ytfmcak17B0vo39R3roHfBgK8pj4eySKTGTjyZScdvVN4j9vV6k6UWUFCaWLjpR+pweuhVqAZSat0SjlK5q0GmYU1XErR8twuOTNxMz6DTD3ltdJt80GpJb8CbITnJa6L1+Pz98bm+mh5ERXN4Aep2W73x6OX1OD7NnluDoG51ZMpmJFsGSwjxWnJMegY8Qq/ArVvOWsRDrKSNRkl3wJsg+clbog4ouiAAAD09JREFUvX4/n39oq2KOdS4Q6f1aVmzCqNfiyPSAksTIBVBLvo4zKwq5/v0SRUkQ10SJVfiVqfqEWCSr4E2QfeSs0N/3xO6cFnlILHyQzURmoGXFeQSCoaHwxe9eepuX6k9nUfUP+NhzuJM9P+mktMjANWvnMLe6OC2z1ujCL6WMHYEg1eSk0DtcXtpEBWzSwgfpxjHo43+equdEt2tYdonVomf+LCvb951QfG9nr4ef/OktAKpt+dy5YUlKqz8TKfwSCFJNTgp9c7szY54i2YTJqEWrUTCTz0IiIZnNDc2y1aXdDm9MkR9Jc8cA3/zFTj62TqJmWpHsDN/jC9DWOUDAF5iQQCcjli4QjJecFHphRxzmeLuTZzcfZv26mkwPJSFG5qQng26Hj5/++U0g3DzkqgtnUzO9GJNROxTn7+r3UGTWUzu3dMhQTSCYTOSk0As74tNEFmSzHZfHz9a9o50qk0lHr5ufPh8O6+TpNQxG9Q/udXrZ0tjK2y193H3DufgDIRGKEUwaclLoYXTusArQaFRTaoFWm8Df09UfXpDNdufxZ15oimkZnGwGFZrEN7cPcMevXsPvD9Dj8GItMFBbY+PqtXOGzfSV8tsFgkyQs0I/Mne4yKznW4++nulhJY1Km4kvX1PL1x7ZgS+G2FtMyg2fM8FIgezqG+StY93sP9qV6aENEe1k2dXv4cXdzThdPi47fwbWAgN/fPkIjW930uv0UhJ1I+h1eNJetCUQQA4LfYRI7vDBd7qzNma/amEFvkCQg+900zvgoyhfR55BR1v36Myh0kIj37xuCUVmA+09rpgiD1CboLFXqonOfe/q92Ax6RgY9GXtZzKSXQdOsuvAyVHbIzeClxtbhj1dmfO0fO+z55On16VzmIIcJeeFPkK2LtCuqa3kukvnAcNnu1qN6pQwdtLd76ZQZrGw0GygJEZLPrNRO3TsTDNyodXhUm7QMRkZGUJzDvr52s928vBtqzI0IkEuIYT+FLEWaKeVmSkq0LP/cPw+osnCajFQJ9mGFdaMTNGLl58dqzLTbNTywOdXZEUGSSzzr6mMc9BPV9+gCOMIUk7mf+VZxB3X1zHt1MwewuZO08rC5k6feH9yZ77nzi9j+dlnyL52wYJyNt68fKhVXiziNea4eu0c1i2tpqTACIRj8qsWlfPQrSuzpk1cn9Oj+NQx1YnXHEUgSAbZ8UvPEmKZO+nN2qQ0hDDqNaxcWDE0Uzfn6WTL45M1054MlZmFZgNFZj29ztzrZhSvOYpAkAyE0MugZO6kZOd665ULaWl3YM7XU1UabtRwotvFv157j7ebe+lxeCi2GJg3vZiPXVyDyXD6sqdLhLO5MtOg07BwTgmv7mnL9FDSSr5RI8I2grQwIaGXJOkjwEftdvv6U/9fDvwI8AP/ttvt90qSpAYeARYBHuCTdrv98MSGnRlizfgjoZEIM86wcPOHzk4onzqbRThdrKmtyjmhP3e+fOhOIEg2444PSJL0I+C7I47xc2A9sBJYJklSLfBhwGi3288Hvg48OP7hZgeRGX8i7oeJNLcWkBWLwumm8e1OxebbHl+A9h4XHp984ZZAMBYmMqPfATwPfBpAkqQCwGC324+c+v+/gHVABfBPALvdvkuSpKXxDlxcbEKrTY0w2mzKnXZynUxeG0thHka9BrdCRepUpM/p5as/38nF503nQ+87k4Pv9HDWzGL+uu0YO/e30tHrxlZk5PxzKrnx8rPRaLLzZih+U8pky7WJK/SSJN0E3D5i8yfsdvuzkiRdGLWtAOiP+r8DOPPU9r6o7QFJkrR2u310x+ZT9PSkxkLYZrPQ0TFV2mskl2y4NkvnlbFtX26FbzzeAP9v2zH+37Zjsq939Lr5y9ajOF0err04+3r5ZsP3JlvJxLVRurHEFXq73f4o8GgC5+gHos9iAXoB04jt6lgiL8g9vH4/Gzc1CJO5GGzf18ZHL5RvJi4QxCNpz4J2u70f8EqSNFuSJBVwKbAV2A5cBkOLtfuTdU7B1ECIfHw8viBP/uMgATkjfoEgDskO+n0G+C3wOtBot9tfA/4MuCVJ2gE8xOgwkCCHcbi8tHQIkU+EXQfaeXbzpExYE2SYCaVX2u32l4GXo/6/C1g+Yp8g4RuAQDCK5nZn1vkLZTOR/gEihCMYC6JgSpBRstVMLlvpcbhp6XTi8QSG1XEIBLEQQi/IKKLb19gIhmDjk/VDPY/LrXl887o6zHnZ01NAkH1kZ2KuIKcYaSYniE30w8+J7kFu/dF2fvuCXSzUChQRM3pBxom2ljjW2s/jfz9I3xTzo081L9W3oFKpJk2jd0F6ETN6QdZgMekpLzEJkR8n9fZ2YZkgkEUIvSCryDNoERGc8dHj8HLf42/g9Yt6RMFwhNALsopBjx+RgDN+2rpd3L+pPtPDEGQZQugFWUWh2YDVIlIGJ0Jz+wBH2/pEGEcwhBB6QVZh0Gmok8pkX1tTV8XDt11AhdUkwjtxuP/Jeu745U6efrFJZOMIRNaNIPuItFlUarG48eblQ81fKkrz+fuud6P2NTDg9uH2CnHrdniHGsOLbJzcRhUKZV9EtKPDkZJBCUtVZbLx2iTSnUtu3z++cmRI4ARQbNbznU+fnxLbhGz83mQLGbIpln3YFaEbQdYylu5c0ftevXYOKxaUp2GEk4Mep5fufnemhyHIIELoBVMOjVrNdZdKFJnFom6E57cd5eA73YqtCwVTGxGjF0xJDDoNtTU2tjS0ZHooWcEbBzt442AHahVU2czccX0deq34+ecKYkYvmLKsXzeXaWXmTA8jqwiG4Hi7k42bGjI9FEEaEUIvmLJo1GruumEpa2orh8I4xWYDa+qq+PmXV1FVmp/hEWaOlg6nCOPkEOLZTTClCcfr53HV2tEZPPfceC6/faGJHftP4PXnVjpmMBRu+jJ/pjXTQxGkASH0gpwgkpUTjUat5vpL53H12rl09A5ysmuAnz7/VoZGmF7UqnDTF0FuIIRekPMYdBqqbWZsRXnoteDNAU+w8hKT6E6VQ4gYvUBwCoNOw8pFVZkeRlq4as2cTA9BkEbEjF4giOJjF81FrVLRYO+g2+GhMF/PioUVuNxe9r7dRa/Ti1Efnh9NVpsFFTCroiDTwxCkESH0AkEUGrWa9etquGL17KHF2+rKIjo6HHiiFnQB+pwe9DoNGze9QVf/5MlgKbeKsE2uIUI3AoEMcvYL0dsi/y4yG/ifz6wg3zg55kwatYpvXFeb6WEI0owQeoFggmjUah78/AqqbflZ3+B8TV0V5jxDpochSDNC6AWCJKDXarnvpmV87zPnU5CFYRGjXsNFS6qGLKAFucXkeN4UCCYJgWAoZsWpVq3CH4ztwl1lMzHzDBPb3+wc9VrdXCsnetyc6HIRDIUXVs+w5jF3eiFvHemhx+GhyKxn/kwrV154Jk6XD1QqbEV5KbEpFkwOhNALBEmk0GzAWmCgq98z6rWSAgN3bFjKXb9+Defg6WR9k0HL16+twzHgpbrMPLRQeu2lAd5u7uVIcy9zqoqYM61oSKwjjVei95fz7y8yG1P9JwsmAULoBYIkEnHNlGt8UltjoyjfwMO3raKrbxD7e71I04soKcwL72AbfawFs0pYMKtk1LEsJv0o+wK56l+BAITQCwRJJ1YrxAglhXmsOCcvU0MU5BhC6AWCJCOXiy/i44JMIoReIEgRIpQiyBZEeqVAIBBMcSY0o5ck6SPAR+12+/qo/z8AHD+1y93AVuARYBHgAT5pt9sPT+S8AoFAIEiccQu9JEk/Ai4F9kRtXgJ81W63/zFqv/8CjHa7/XxJkpYDDwL/Od7zCgQCgWBsTGRGvwN4Hvh01LYlQK0kSV8AXge+BqwE/glgt9t3SZK0NN6Bi4tNaLWpWbyy2SwpOe5UQFwbZcS1UUZcG2Wy5drEFXpJkm4Cbh+x+RN2u/1ZSZIuHLH9BcLifwz4OfAZoADoi9onIEmS9v+3dzehcVVhGMf/SeMHASO49Au1lgdXRYq0i1ILKkWlKLoWtLhQuikKgiAWV9qN4q4SU7qoK62ioGIWfmDaomIrKpWnWkXRhahYU6pQbcfFuUMmcdIYiXOTe5/faubkknk5nPPOmTNn3mt73ts7jIysWuYVQyIiVo4FE73tCWDiX/6/PbZPAEh6FbibkuR739aGz5XkIyJiaS3ZqRtJQ8Cnki6vmm4CPgYOALdV12wAPluq14yIiIUt2Tl62x1J9wMvS/oDOAqMA2eAWyQdpNRgum+pXjMiIhY21Omcu5JeRESsbPnBVEREwyXRR0Q0XBJ9RETDNbqoWZ8SDRuAZ4G/gEnbT0gapqUlGqqTUt8DX1ZNh2w/Kmkr8Diln/bYHq8rxjq1eWzMR9JhYLp6+g3wHHPmVF2x1UXSemCX7c2SrgX2Ah3gc2C77bOSdgK3U/pph+0PBxljYxP9PCUadlPO9n8NvC7peuBq2luiYTVw2PbWboOk84BngBuAU8ABSa/Z/rGmGOt0J+0dG/8g6UJgyPbmnrZPmDOnbB+pKcSBk/QIcA9lrgA8DTxm+11Ju4E7JH0L3AisB64A9lPm18A0eevmIPBg94mkMeAC28dtd4C3gJuZU6IBWLBEQ4OsAy6T9I6kNyQJuA74yvavtk8DU8CmWqOsT5vHRj9rgVFJk5LelrSJ/nOqTY4Dd/U8Xwe8Vz1+k5kcM2m7Y/s7YETSnPuJ/b9W/Ip+ESUaxpj5yAlwEriG/1CiYSWap5+2A0/aflHSRmBfdU1vf5wELh5MlMtOK8bGIvxOqU77PLCGkshO9Py9O6daw/Z+SVf1NA1Vb3owM3fGgF96rum2/zSQIGlAol9EiYZpZpdiuIgySEdpQYmGfv0kaZSyZ4jtKUmXUgZhv35qo7ljppFjYxGOUT7tdYBjkn4Dem9c2+ax0nW253G3P+bLPQPT5K2bWWxPA6clra6+hNxCqZXf5hINO4EdAJLWUu4jcBRYI+kSSedTtm0O1Rdirdo8NvrZRvmegmpRMAqc6jOn2uxIz07CrczkmC2ShiVdSVkw/DzIoFb8in6RHgBeAFZR9sw+kPQR7S3R8BSwT1L3NMC9tv+U9BBlv3WYcurmhzqDrNErtHds9DMB7JU0RTlVso2ygp01p2qMbzl4GBivFklfAC/ZPiPpfcqCaZiyZTpQKYEQEdFwrdm6iYhoqyT6iIiGS6KPiGi4JPqIiIZLoo+IaLgk+oiIhkuij4houL8B5eVY6alP2kAAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(feature_vectors_tsne2d[:, 0], feature_vectors_tsne2d[:, 1])"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"labels = mnist.load_data()[0][1]"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x14e3db110>"
]
},
"execution_count": 17,
"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": [
"# here we color each low-dimensional t-SNE point differently depending on its true known label for what digit the point corresponds to\n",
"# (in many applications we do not have this sort of label information!)\n",
"plt.scatter(feature_vectors_tsne2d[:, 0], feature_vectors_tsne2d[:, 1],\n",
" c=labels[random_sample], cmap='Spectral')"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x14e453f90>"
]
},
"execution_count": 18,
"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": [
"# coloring the points by true digit label, now for PCA\n",
"plt.scatter(feature_vectors_pca2d[:, 0], feature_vectors_pca2d[:, 1],\n",
" c=labels[random_sample], cmap='Spectral')"
]
}
],
"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": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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