diff --git a/2.1 Hidden Layer Representation and Embeddings.ipynb b/2.1 Hidden Layer Representation and Embeddings.ipynb index 64f17ab..72a1e44 100644 --- a/2.1 Hidden Layer Representation and Embeddings.ipynb +++ b/2.1 Hidden Layer Representation and Embeddings.ipynb @@ -121,6 +121,28 @@ "# %load solutions/sol21.py" ] }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# %load solutions/sol21.py\n", + "from keras.models import Sequential\n", + "from keras.layers.core import Dense, Dropout\n", + "from keras.optimizers import SGD\n", + "\n", + "model = Sequential()\n", + "model.add(Dense(512, activation='relu', input_shape=(784,)))\n", + "model.add(Dense(512, activation='relu'))\n", + "model.add(Dense(10, activation='softmax'))\n", + "\n", + "model.compile(loss='categorical_crossentropy', optimizer=SGD(), \n", + " metrics=['accuracy'])" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -216,7 +238,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 7, @@ -225,9 +247,9 @@ }, { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -265,7 +287,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 9, @@ -274,9 +296,9 @@ }, { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -297,7 +319,7 @@ "output_type": "stream", "text": [ "[0 1 2 3 4 5 6 7 8 9]\n", - "[0 0 0 1 0 0 0 0 0 0]\n" + "[1 0 0 0 0 0 0 0 0 0]\n" ] } ], @@ -327,9 +349,9 @@ "text": [ "Train on 45000 samples, validate on 15000 samples\n", "Epoch 1/2\n", - "45000/45000 [==============================] - 6s - loss: 1.2717 - acc: 0.7238 - val_loss: 0.6574 - val_acc: 0.8535\n", + "45000/45000 [==============================] - 8s - loss: 1.2375 - acc: 0.7294 - val_loss: 0.6443 - val_acc: 0.8592\n", "Epoch 2/2\n", - "45000/45000 [==============================] - 6s - loss: 0.5226 - acc: 0.8696 - val_loss: 0.4406 - val_acc: 0.8867\n" + "45000/45000 [==============================] - 1s - loss: 0.5174 - acc: 0.8721 - val_loss: 0.4334 - val_acc: 0.8887\n" ] } ], @@ -353,9 +375,9 @@ "outputs": [ { "data": { - "image/png": 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1CKtb0lBQSlVbRH1/Xr49ngUP9aFFeBBP/mcLt76xmo0/HbO6NHWFNBSUUjXm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\nAABJRU5ErkJggg==\n", 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KP29PnkhsxLwRCfRpVoP35qXRfdR8fvhjj3ZhdTOaFJRS+WoE+zFmQGu+G9qR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\n/w/rMOoQeiTo9AAAAABJRU5ErkJggg==\n", 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tpaRMuWlIV247rxthzU5mMUljGh5PekPl4Zwb6m0RaQFcAUwCLFkYv6eqfLZy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\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -508,7 +530,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": { "collapsed": true }, @@ -533,7 +555,31 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 13, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# %load solutions/sol22.py\n", + "from keras.models import Sequential\n", + "from keras.layers.core import Dense, Dropout\n", + "from keras.optimizers import SGD\n", + "\n", + "model = Sequential()\n", + "model.add(Dense(512, activation='relu', input_shape=(784,)))\n", + "model.add(Dropout(0.2))\n", + "model.add(Dense(512, activation='relu'))\n", + "model.add(Dropout(0.2))\n", + "model.add(Dense(10, activation='softmax'))\n", + "\n", + "model.compile(loss='categorical_crossentropy', optimizer=SGD(), \n", + " metrics=['accuracy'])" + ] + }, + { + "cell_type": "code", + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -542,20 +588,20 @@ "text": [ "Train on 45000 samples, validate on 15000 samples\n", "Epoch 1/4\n", - "45000/45000 [==============================] - 7s - loss: 1.3793 - acc: 0.6377 - val_loss: 0.6832 - val_acc: 0.8490\n", + "45000/45000 [==============================] - 2s - loss: 1.3746 - acc: 0.6348 - val_loss: 0.6917 - val_acc: 0.8418\n", "Epoch 2/4\n", - "45000/45000 [==============================] - 6s - loss: 0.6157 - acc: 0.8335 - val_loss: 0.4507 - val_acc: 0.8828\n", + "45000/45000 [==============================] - 2s - loss: 0.6235 - acc: 0.8268 - val_loss: 0.4541 - val_acc: 0.8795\n", "Epoch 3/4\n", - "45000/45000 [==============================] - 7s - loss: 0.4775 - acc: 0.8635 - val_loss: 0.3786 - val_acc: 0.8983\n", + "45000/45000 [==============================] - 1s - loss: 0.4827 - acc: 0.8607 - val_loss: 0.3795 - val_acc: 0.8974\n", "Epoch 4/4\n", - "45000/45000 [==============================] - 7s - loss: 0.4165 - acc: 0.8798 - val_loss: 0.3410 - val_acc: 0.9056\n" + "45000/45000 [==============================] - 1s - loss: 0.4218 - acc: 0.8781 - val_loss: 0.3402 - val_acc: 0.9055\n" ] }, { "data": { - "image/png": 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IiI2KZPrVWewrOcxPX1qq2c4i4guFQgg5tVsSP/rqQP65YgcvLMr3uxwRaYcUCiHm+rP6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\nwHDgUeAVn+tpkJklAHOA25x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oj2S+d9Fg/r5uN/OWfuJ3OSLSySkU2oGvTOrP2TmZ3P3qOjbvPeR3OSLSiSkU2oGICOO+\nq0cRGx3Bt54toEqL8oiITxQK7UT3lDh+PnUEK4vKePAfG/0uR0Q6KYVCO3LxiB5cPbY3v/pXIUu3\n7vO7HBHphBQK7cwdlw2jT3oXZs8r4EBFld/liEgno1BoZxJjo3hgeh67DlRw55+1KI+ItC2FQjs0\npm8at34mh5dWbOfVlTv8LkdEOhGFQjt1y5QcRvdN5UfzV7Oj9Ijf5YhIJ6FQaKeiIiOYOz2PmlrH\n7c8VUKNFeUSkDSgU2rF+GQnccdkwFm/ex2/f2ex3OSLSCSgU2rmrx/bm4uHd+eXfPmTN9jK/yxGR\nDk6h0M6ZGT+bOoL0hBhum7eCI5ValEdEQidkoWBmT5rZHjNb08jrZmYPmVmhma0yszGhqiXcpSXE\n8Mur89i09zA/e3293+WISAcWypbC08BFJ3n9YuCMwG0W8OsQ1hL2zj4jkxvP7s//Ld7Gmxt2+12O\niHRQIQsF59zbwMnmargc+L3zLAZSzaxHqOrpCL570WCGdE/iey+soliL8ohICPjZp9ALqL+AQFHg\nOWlEbFQkD80czYGKar73wiotyiMirS4sOprNbJaZLTOzZXv3du71jAd1S+IHFw/hzQ17+MP7H/td\njoh0MH6GwnagT73HvQPPncA597hzLt85l5+VldUmxbVn10/M5txBWdzz2joK92hRHhFpPX6GwivA\nlwJXIU0AypxzO32sJ2yYGfdNG0mXmChmP7uCymotyiMirSOUl6Q+AywCBptZkZl91cxuMrObApu8\nDmwGCoHfAl8PVS0dUdfkOO69cgRrth/g/r9/5Hc5ItJBRIXqg51zM5t43QHfCNX3dwYXDuvOzPF9\n+M3bmzhvUBZnDczwuyQRCXNh0dEsjfvPL+SSnZHAt58roKxci/KISMsoFMJcl5go5k7PY8/Bo/z4\nz2t0maqItIhCoQMY1SeV2Recwasrd/ByQYMXcImINItCoYO4eXIO47LT+MnLa/lkX7nf5YhImFIo\ndBCREcb91+QBaFEeETltCoUOpE96F+6+YhhLt+7nsX9v8rscEQlDCoUO5oq8Xlw6qicP/P0jVhWV\n+l2OiIQZhUIHY2b89IrhdE2KZfa8Asorq/0uSUTCiEKhA0qJj+b+6XlsKTnMf/1Fi/KISPMpFDqo\nCQMy+H/nDuSZJR/zt7W7/C5HRMKEQqEDu/2zgxjWM5k5L61mz8EKv8sRkTCgUOjAYqIieHBGHoeP\nVvPd57Uoj4g0TaHQweV0TeLHnx/Kvz/ay+8WbvW7HBFp55oVCmY20MxiA/cnm9k3zSw1tKVJa7lu\nQj8+M6QrP1uwgY92H/S7HBFpx5rbUngRqDGzHOBxvBXT/hSyqqRVmRm/uGokSbFRfPOZFRytrvG7\nJBFpp5obCrXOuWpgKvCwc+67QI/QlSWtLSsplv+eNpINuw5y318/9LscEWmnmhsKVWY2E/gy8JfA\nc9GhKUlC5fyh3bhuQl9++84W3iss9rscEWmHmhsKNwBnAfc457aYWX/g/0JXloTKjy7JZWBWAt9+\nbiWl5ZV+lyMi7UyzQsE5t845903n3DNmlgYkOed+EeLaJATiYyJ5cMZoSg4f5YfzV+syVRE5RnOv\nPvqXmSWbWTrwAfBbM7s/tKVJqAzvlcLtnx3M66t38cLyIr/LEZF2pLmnj1KccweAK4HfO+fOBC4I\nXVkSarPOHcCZ/dO585W1bCs57Hc5ItJONDcUosysB3ANn3Y0SxiLjDDun55HRITxrWcLqK6p9bsk\nEWkHmhsKdwN/BTY555aa2QBgY+jKkrbQKzWee6aO4IOPS3nkrUK/yxGRdqC5Hc3PO+dGOuduDjze\n7Jy7KrSlSVu4bFRPpo7uxcNvFvLBx/v9LkdEfNbcjubeZjbfzPYEbi+aWe9QFydt467Lh9E9OY7Z\n8wo4dFSL8oh0Zs09ffQU8ArQM3B7NfCcdADJcdHMnZFH0f5y7n51rd/liIiPmhsKWc65p5xz1YHb\n00BWCOuSNjYuO52vT87huWVFvLFmp9/liIhPmhsKJWZ2nZlFBm7XASWhLEza3m0XnMGo3inMeWk1\nu8q0KI9IZ9TcUPgK3uWou4CdwDTg+hDVJD6Jjozggel5HK2q5TvPr6S2VqOdRTqb5l59tM05d5lz\nLss519U5dwXQ5NVHZnaRmX1oZoVmNqeB11PM7FUzW2lma83shtPYB2lFA7IS+cmlubxbWMyT723x\nuxwRaWMtWXnt9pO9aGaRwKPAxUAuMNPMco/b7BvAOufcKGAy8Eszi2lBTdIKZozrw2dzu/Hfb3zI\n+p0H/C5HRNpQS0LBmnh9PFAYGNNQCcwDLj9uGwckmZkBicA+QNdE+qxuUZ6ULtHMnldARZUW5RHp\nLFoSCk2dcO4FfFLvcVHgufoeAYYCO4DVwG3OOc230A6kJ8Rw39Wj+HD3QX7xxga/yxGRNnLSUDCz\ng2Z2oIHbQbzxCi31OaAg8Fl5wCNmltxAHbPMbJmZLdu7d28rfK00x3mDsrh+YjZPvbeVtz/Sz12k\nMzhpKDjnkpxzyQ3ckpxzUU189na8tZzr9A48V98NwEvOUwhsAYY0UMfjzrl851x+VpaGR7SlORcP\nYVC3RL79/Er2HdaiPCIdXUtOHzVlKXCGmfUPdB7PwBsVXd/HwPkAZtYNGAxsDmFNcorioiOZO300\nZeVVzHlxlRblEengQhYKzrlq4Ba82VXXA88559aa2U1mdlNgs/8CJprZauCfwPedc1o8uJ3J7ZnM\ndz83mL+t282zSz9p+g0iErYs3P7yy8/Pd8uWLfO7jE6nttbxxSff54Ntpbx+2zn0z0zwuyQROQVm\nttw5l9/UdqE8fSQdSESEcd/Vo4iJimD2vBVUaVEekQ5JoSDN1iMlnp9fOYKVRWU89E+tsSTSESkU\n5JRcMqIH08b25tG3Clm6dZ/f5YhIK1MoyCm787Jh9E7rwreeLeBARZXf5YhIK1IoyClLjI3igel5\n7Cyr4M4/a1EekY5EoSCnZWy/NG6ZksNLK7bz6sodfpcjIq1EoSCn7dbP5DC6byo/mr+aHaVH/C5H\nRFqBQkFOW1RkBHOn51FT67j9uQJqtCiPSNhTKEiL9MtI4I7LhrF48z6eeEczlIiEO4WCtNjVY3tz\n8fDu3Pe3D1mzvczvckSkBRQK0mJmxs+mjiA9IYbZzxZwpFKL8oiEK4WCtIq0hBh+eXUehXsO8fMF\n6/0uR0ROk0JBWs3ZZ2Ry49n9+f2ibby1YY/f5YjIaVAoSKv67kWDGdI9ie++sJLiQ0f9LkdETlHn\nCYXaWjhc4ncVHV5sVCQPzRzNgYpqvv+CFuURCTedJxQ2/hUeyIVXb4O9H/ldTYc2qFsSP7h4CP/c\nsIc/vv+x3+WIyCnoPKGQOQhGzYCV8+DRcfDHa2DL26C/ZEPi+onZnDsoi5++to7CPYf8LkdEmqnz\nhELGQLj0QfjWWpj8Q9i+HH53KfzmXFj5LFRrUfrWZGbcN20kXWKimP3sCiqrtSiPSDjoPKFQJyET\nJn/fC4dLH4LqozB/Fjw4Ct59AI7s97vCDqNrchw/v3IEa7Yf4IF/6JSdSDjofKFQJzoOxn4Zvr4Y\nrn0BsgbBP+6E+4fB69+DfVv8rrBD+Nyw7swY14fH/r2JxZvV0S/S3lm4XR2Sn5/vli1bFpoP37Ua\nFv0KVj8PrgaGfB7OuhX6nhma7+skDh+t5vMPvUNldS0LZp9LSny03yWJdDpmttw5l9/Udp23pdCQ\n7iNg6q9h9mqYNBu2vANPXghPXABr50NNtd8VhqWE2CjmzhjN7oNH+c+X1/hdjoichEKhIck94II7\n4PZ1cMl9cLgYnr8eHh7ttSSOHvS7wrCT1yeV2eefwSsrd/Dyiu1+lyMijVAonExMAoz/Gty6HKb/\nEZJ7w19/APfnwt9+DGVFflcYVr4+JYf8fmn858tr+GRfud/liEgDFArNEREJQ78AX1kAN74JORd4\nLYYHR8GLN8KOFX5XGBYiI4wHpufhgG8/t1KL8oi0QwqFU9V7LFz9FNxWAGfeBB++AY9Phqc+Dxte\n96bTkEb1Se/C3ZcPY8nWfTz2701+lyMix1EonK7UvvC5e+D2tXDhPVC6DebNhEfyYekTUKnTI42Z\nOroXXxjZgwf+/hGrikr9LkdE6lEotFRcCky8Bb5ZAFf9L8Qlw2vfhgeGwZs/hYO7/a6w3TEz7rli\nBF2TYpk9r4DySl3VJdJeaJxCa3MOPl4Eix6FDa9BZDSMuAbO+gZ0y/W7unZl0aYS/uOJxfRL78Lk\nwV2ZlJPJmQPSSY7TOAaR1tbccQoKhVAq2QSLfw0Ff4Sqchj4GTjrFu9fM7+raxdeXbmDF5YX8f6W\nEiqqaomMMEb1TuHsnEwm5mQyum8qsVGRfpcpEvbaRSiY2UXAg0Ak8IRz7t4GtpkMzAWigWLn3Hkn\n+8ywCoU65ftg2ZOw5HE4tBu65nothxFXQ1Ss39W1C0era1jxcSnvFRbzbmExKz8ppdZBfHQk4/un\nc3ZOJpNyMhnSPYmICAWqyKnyPRTMLBL4CPgsUAQsBWY659bV2yYVWAhc5Jz72My6OudOuo5jWIZC\nneqjsOZF79TS7jWQ0BXGz4JxX4Uu6X5X164cqKhi8aYS3iss5r1NJcHptzMSYpiYk8nZORlMHJhJ\nn/QuPlcqEh7aQyicBdzpnPtc4PEPAJxzP6+3zdeBns65Hzf3c8M6FOo4B5v/BYsegcJ/QFQ85M2E\nCd+AzBy/q2uXdpVVeAERaEnsOegt9dkvowuTcjI5OyeTswZkkJYQ43OlIu1TewiFaXgtgBsDj78I\nnOmcu6XeNnWnjYYBScCDzrnfN/BZs4BZAH379h27bdu2kNTsiz3rvZbDqmehpgoGXeRdzdRvkvod\nGuGco3DPId4tLOa9whIWby7h0NFqzGB4zxQm5mRwdk4m47LTiYtWf4QIhE8oPALkA+cD8cAi4PPO\nuUYn3+8QLYWGHNrjjW9Y+gSUl0CPPK9TetgV3hVM0qjqmlpWFpUFWxErPt5PVY0jJiqC/H5pwZbE\n8F4pRKo/Qjqp9hAKzTl9NAeId87dEXj8v8AbzrnnG/vcDhsKdaqOeEuGLnoUSjZCci848//BmC9D\nfKrf1YWFw0erWbJ1H+9t9Poj1u88AEByXBQTB2YyKSeDSTmZ9M9MwNQak06iPYRCFF5H8/nAdryO\n5v9wzq2tt81Q4BHgc0AMsASY4ZxrdH7lDh8KdWprofDvsPBh2PoOxCTC6C/ChJsgLdvv6sJK8aGj\nLNxUwnsbvZbE9tIjAPRMifNaEWdkMnFgJllJuhJMOi7fQyFQxCV4l5tGAk865+4xs5sAnHOPBbb5\nLnADUIt32erck31mpwmF+nYUwOJfeVcuuVoYepl3aqnPOL8rCzvOObaVlAf6I4pZuKmEsiNVAAzp\nnsSkHK8lMb5/BomxUT5XK9J62kUohEKnDIU6Zdu9sQ7Ln4KKMuhzpjfeYcgXvJlc5ZTV1DrW7TgQ\nDIklW/dRWV1LVIQxum9qsD9iVJ9UoiM1K4yEL4VCR3b0kDdKetGj3kR8qf1gwtdh9HUQm+h3dWGt\noqqG5dv2825hMQsLi1m1vQznICEmkgkDMgJjJDIZ1C1R/RESVhQKnUFtDWz4ixcOn7zvTc439gav\nYzq5p9/VdQil5ZUs3lwSvPx1S/FhALKSYpk0MCNwuimTnqnxPlcqcnIKhc7mk6Ww6GFY/ypYBAy/\nyut36DHS78o6lKL95Sws9EJi4aZiig9VAjAgK8Gbr2lgJmcNzCAlXpcRS/uiUOis9m+FxY/Biv+D\nykOQfQ5MvBVyPgsROifempxzfLj7IO9u9Poj3t+yj/LKGiIMRvRO5ezApa9j+qZpEJ34TqHQ2R0p\nhQ9+B+//Bg5sh8xBXr/DqBkQrVMdoVBZXUvBJ6XB/ogVn5RSU+uIi45gXHZ6sNM6t0eyJvWTNqdQ\nEE9NFax92Tu1tHMldMmAcTfCuK9BYpbf1XVoByuqWLJlX/DKpo92e5P6pXWJDgyi80Kib4Ym9ZPQ\nUyjIsZyDbe/BwkfgowUQGQsjr/H6HboO8bu6TmHPgQre21TMuxu92V93HagAoE96PJMCITFxYAYZ\niRpEJ61phj2dAAAOmElEQVRPoSCNK97oDYYr+BNUV3j9DWd9AwZM1iR8bcQ5x+biw958TRuLWbS5\nhIMV3rKkuT2SOfsMLyTGZ6cTH6P+CGk5hYI07XDJp4v/HN4D3YZ74TB8GkRpCuq2VF1Ty+rtn07q\n98G2UipraomJjGBMv1SvJXFGJiN7pRClQXRyGhQK0nxVFbDmBW+8w551kNgdxn8N8r+ixX98cqSy\nhqVb9wVDYu0Ob1K/pNgoJgzMCK5ENzBLk/pJ8ygU5NQ5B5v+6YXDpjchugvkXQsTboaMgX5X16mV\nHDrKos0lwZD4ZJ83qV/35Ljg+hGTcjLplhznc6XSXikUpGV2rw0s/vMc1FbDkM97p5b6nqV+h3bg\n45Jyr9M6cPnr/nJvUr8zuiYGr2o6c0A6SXEaRCcehYK0joO7YMlvYdn/wpH90HOMFw65V0CkZhFt\nD2prHet2Hgi2IpZu3UdFVS2REUZen9TgdByj+6YRE6X+iM5KoSCtq7IcVv4JFv0K9m2ClD5w5k0w\n5ovenEvSblRU1fDBx/uD03GsKiql1kF8dCRnDkgPnmoa3C1Jg+g6EYWChEZtLXz0Bix6xBv3EJME\nY7/sBURqH7+rkwaUHalicb3+iM17vUn9MhNjjlmJrneaBtF1ZAoFCb3tH3j9Dmvne49zL4eJt0Cv\nsf7WJSe1s+wI7xV+GhJ7Dx4FIDujS7A/Ynz/dNITYnRlUweiUJC2U1YE7z8Gy38HRw94ndFn3QKD\nL9biP+2cc46New4FJ/VbvLmEw5U1gLeGRI/UeHqkxNErNZ4eKfH0TI2jZ+C5nqnxmugvjCgUpO1V\nHIAVf4DFv4ayjyF9gDcJX95/QEyC39VJM1TV1LKqqJQVH5eyvfQIO0sr2FF2hB2lFRQfOnrC9ukJ\nMfRMjfMCIxAUPVLj6RV4rmtSrAbbtRMKBfFPTTVseNWbZ2n7MohL9QbCjZ8FyT38rk5O09HqGnaV\nVbCjtIIdpUfYWXaEHWWB+4HnDh6tPuY9kRFGt6RYeqTG0zPVC466VkbdLa1LtE5TtQGFgvjPOW9F\nuEWPwPq/QEQUjJjmXdLafYTf1UkIHKyoYmdZxaetjNIjgZbGEXaWVbCztILKmtpj3hMbFREIiECL\noy486rU4EmJ1+XNLKRSkfdm32TuttOIPUFXuTb531i2Qc4EGw3UitbWOksOVXiuj1DsttTNweqou\nPPYcPMrxv5ZS4qPrtTC8oOhVr2+jW3KcxmA0QaEg7dOR/bDsKW8SvoM7IWuIN1o6fSCk9/f6IRK7\nKSg6saqaWnYfqAgGRl2rw7vv/VsaGMFdxwyyEmMbbHF4/RxxZCbEdupxGQoFad+qK2HtS95VSztX\ngav59LXohEBABEKi/i2pp5YVFcorq+u1Mo7U6+f4tMVRUXXsaaqYyAi6B/o0egWCItjiCFxVldyB\npwVRKEj4qKmC0o9h3xbvNFP9W+k2qKn8dNvI2OPCot795N6aekMA71Lb0vIqr5VRdmyLoy48dh2o\noKb22N9/ibFRx5ym6pniXU1V1+LonhIXtpfhNjcU9H+Q+C8y2puFtaGZWGtrvDWmjwmLQHhsetNb\nJKhORDSk9YO0BloYqX21RkQnYmakJcSQlhDD8F4NT8NSU+vYc/C4q6nqhcaa7WWUHK484X2ZiTH0\nSIk/NjzqjePomhRHZBifplJLQcJXbS0c2nVi66IuOCoPfbqtRXjzNR0fFukDIC0bojXltJyooqru\nMtx6l9/WC48dpUeCg/3qREYY3ZPjgn0bPVKPG/yXEk+qD5fh6vSRdG7OweG9DZ+S2rcJKsrqbWyQ\n3Kvh01Jp/SE20bfdkPbNOceBimp2lnmnprY30OLYWXaEqppjf8/GRQcuw02p3zF+bIujS0zrnshR\nKIicTPm+RgJjM5QXH7ttYreG+zDSB2iGWGlSba2j+PBRr2O89Mhx/Rzec3sPnXgZbmqX6EBH+Kct\njjP7ZzC2X9pp1aE+BZGT6ZLu3Xo3MHlfRdmxgbF/i/d405tQsPO4z8lo+JRU+gCIT9OltUJEhNE1\nyetryOuT2uA2ldV1l+EeCU4rUtfSKNp/hCVb9nGgoppbpuScdig0V0hDwcwuAh4EIoEnnHP3NrLd\nOGARMMM590IoaxJpUlwK9MzzbserPAz7t57Yuti20FulDnfs59Sdgjo+MBK7KjAkKCYqgj7pXeiT\n3vj05YeOVp9wtVQohCwUzCwSeBT4LFAELDWzV5xz6xrY7hfA30JVi0iriUmAbsO82/GqKrxLaI8P\njB0rYN2fGxiL0cDpqPQBkNRDYzHkBIltNNVHKL9lPFDonNsMYGbzgMuBdcdtdyvwIjAuhLWIhF50\nHGQN9m7Ha2wsxp718OECqK03Qjcqrl7r4rjO75Q+mo5cQiqUodAL+KTe4yLgzPobmFkvYCowhZOE\ngpnNAmYB9O3bt9ULFQm5psZilBU1Mhbjnw2PxWioDyO1r/c9Ii3gd0fzXOD7zrnak12z65x7HHgc\nvKuP2qg2kbYRERkYdNcPBk459rWTjcXYtvC4sRiR3pKoDQZGP43FkGYJZShsB+ov2ts78Fx9+cC8\nQCBkApeYWbVz7uUQ1iUSPiIiILmnd8s++9jXgmMxGgiMVc/D0ePGYqT09gbqnRAa/bUIkgSFMhSW\nAmeYWX+8MJgB/Ef9DZxz/evum9nTwF8UCCLNZOZdxZTYFfpOOPY157wZaY8/HbVvM2x4rYGxGN2P\nDYm0bO+S3fj0T/+NSdAVU51AyELBOVdtZrcAf8W7JPVJ59xaM7sp8PpjofpukU7PrN5YjAbGKx0/\nFqPufuE/vNNVDYmMOTYkuqR5YzGOee64f+PTNElhmNGIZhE5VuVhKP0EjuzzRn6f8O/+E5+vrW78\n82JTAgHSWHikqVXSBjSiWUROT0wCdB3S/O2d8zq8mwqO8n1QXgLFG73Xjx5o/DMbbJU0ECZqlbQ6\n/QRFpGXMIDbJu6X1a/77aqoaD4/jw6V4o1olbUShICL+iIz+tKO8uZyDowe9cAgGSlu0So5rkXTg\nVknH3CsR6ZjMIC7Zu6VlN/99apU0m0JBRDq+lrZKguGx/9gQCXWrpEs6xKW2aatEoSAi0pD22CoZ\n9zWYeEuLd+1kFAoiIq0pJK2SwL+J3UJXd4BCQUTEb6fbKgkBTdouIiJBCgUREQlSKIiISJBCQURE\nghQKIiISpFAQEZEghYKIiAQpFEREJCjsFtkxs73AttN8eyZQ3ORW4UH70j51lH3pKPsB2pc6/Zxz\nWU1tFHah0BJmtqw5Kw+FA+1L+9RR9qWj7AdoX06VTh+JiEiQQkFERII6Wyg87ncBrUj70j51lH3p\nKPsB2pdT0qn6FERE5OQ6W0tBREROokOGgpldZGYfmlmhmc1p4HUzs4cCr68yszF+1NkczdiXyWZW\nZmYFgdtP/KizKWb2pJntMbM1jbweTsekqX0Jl2PSx8zeMrN1ZrbWzG5rYJuwOC7N3JdwOS5xZrbE\nzFYG9uWuBrYJ3XFxznWoGxAJbAIGADHASiD3uG0uARYABkwA3ve77hbsy2TgL37X2ox9ORcYA6xp\n5PWwOCbN3JdwOSY9gDGB+0n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Ux/dL9jocY0w3YckigqzfdYBf/u8azhrRl6+fEsxj0I0xpnNYsogQNXUNfG9u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\ntnT7KcpLD9UwZc67JMXH8No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g/qsGMTYvK+xwRETqxLKEUQRscPeN7n4UmANMPs3+04DZZ3lsq/D+7oN8fd5q\nLuqfwx2XDwg7HBGRE8QyYfQBttZbLomsO4mZdQKuAZ47i2Onm9liM1u8e/fucw46LEeqa7h79lJS\nU9rxw1tHk9RO7RYiEl/ipdH7euBv7l56pge6+xPuXujuhd26JW4v6O+98i6rt5fz3ZtG0jMjNexw\nREROEsuEsQ3oW285N7KuMVM5Xh11pscmvL++u4ufvbWJT17Uj6uH9Qw7HBGRRsUyYSwCBppZgZm1\nJ0gK8xruZGYZwOXAb8/02NZg94EjfOk3yzm/RzpfvW5I2OGIiJxSzHp6u3u1md0JvAokAU+6+2oz\nuyOy/fHIrlOAP7r7oaaOjVWsYamtdb74m+UcqKzmV5+7kNSUpLBDEhE5pZgODeLuLwEvNVj3eIPl\np4Gnozm2tXnyb5t4473dfOufhjOoR3rY4YiInFa8NHq3Oau2lfHdV9Zx9dAefGJ8XtjhiIg0SQkj\nBIeOVHPX7KXkdO7Ad28aqaE/RCQhaLTaEHxj3mqK9x7iV5+9kKzO7cMOR0QkKiphtLDfLd/Ob5aU\n8IUrzuOiATlhhyMiEjUljBa0tbSCrz6/kjF5mdzzoYFhhyMickaUMFpIdU0t98xZCsAjU8eQkqQ/\nvYgkFrVhtJCH/7Ked7bs55FpY+ib3SnscEREzpi+5raAf2zcy6PzN3DzuFxuGNU77HBERM6KEkaM\n7a84yn2/XkZ+Tme+ecOwsMMRETlrqpKKIXfnK8+tYM/BIzw/YwKdO+jPLSKJSyWMGHpmwRZeXf0B\n//rhwYzIzQg7HBGRc6KEESPvfXCAb/1+DZcO7MrtlxSEHY6IyDlTwoiByqpg9rz01GR+cMso2mn2\nPBFpBVSpHgP//dJa1u08wFO3XUD3dM2eJyKtgxJGM/vzmg/4+d83c/slBUw8v3vY4YgkpKqqKkpK\nSqisrAw7lFYjNTWV3NxcUlJSzvo9lDCa0c6ySr787HKG9e7Cv15zftjhiCSskpIS0tPTyc/P12jO\nzcDd2bt3LyUlJRQUnH2bqtowmklNrXP/3GVUVtXyyLQxdEjW7HkiZ6uyspKcnBwli2ZiZuTk5Jxz\niU0ljGbykzfe5+339/Ldm0YwoFta2OGIJDwli+bVHH9PlTCawdIt+3jwj+/xkZG9uKWwb9jhiMg5\n2rt3L6NHj2b06NH07NmTPn361C0fPXo0qve47bbbePfdd0+7z2OPPcYzzzzTHCG3CJUwztGByiru\nnrOUHl2kqeRiAAAOuUlEQVRS+a8pI/StSKQVyMnJYdmyZQB84xvfIC0tjS996Usn7OPuuDvt2jX+\nvfupp55q8nO+8IUvnHuwLUgljHP0Hy+uYtu+wzw8dTQZHc/+6QMRiX8bNmxg6NChfPzjH2fYsGHs\n2LGD6dOnU1hYyLBhw3jggQfq9r3kkktYtmwZ1dXVZGZmMnPmTEaNGsVFF13Erl27APja177GQw89\nVLf/zJkzKSoq4vzzz+ftt98G4NChQ9x0000MHTqUm2++mcLCwrpk1tJUwjgHz79TwovLtnPfhwZR\nmJ8ddjgirdI3f7eaNdvLm/U9h/buwtevP7vBQNetW8cvfvELCgsLAZg1axbZ2dlUV1czceJEbr75\nZoYOHXrCMWVlZVx++eXMmjWL+++/nyeffJKZM2ee9N7uzsKFC5k3bx4PPPAAr7zyCj/60Y/o2bMn\nzz33HMuXL2fs2LFnFXdzUAnjLBXvOcR/vLiKovxs7rzyvLDDEZEWMmDAgLpkATB79mzGjh3L2LFj\nWbt2LWvWrDnpmI4dO3LttdcCMG7cOIqLixt97xtvvPGkfd566y2mTp0KwKhRoxg2LLxRr1XCOAtH\nq4PZ85KT2vHDqaNJ0tAfIjFztiWBWOncuXPd6/Xr1/Pwww+zcOFCMjMz+cQnPtHoo6vt27eve52U\nlER1dXWj792hQ4cm9wmTShhn4Qd/epflJWV896YR9MnsGHY4IhKS8vJy0tPT6dKlCzt27ODVV19t\n9s+YMGECc+fOBWDlypWNlmBaikoYZ+it9Xv4yesbmVaUxzXDe4UdjoiEaOzYsQwdOpTBgwfTr18/\nJkyY0Oyfcdddd/HJT36SoUOH1v1kZIQzXYK5eygfHAuFhYW+ePHimL3/3oNHuObhN8nomMLv7ryE\nju3Vm1skFtauXcuQIUPCDiMuVFdXU11dTWpqKuvXr+fqq69m/fr1JCef+ff9xv6uZrbE3QtPccgJ\nYlrCMLNrgIeBJOBn7j6rkX2uAB4CUoA97n55ZH0xcACoAaqjPaFYcXe+/OwKyg5X8fPbipQsRKRF\nHDx4kEmTJlFdXY2785Of/OSskkVziNmnmlkS8BhwFVACLDKzee6+pt4+mcD/A65x9y1m1nB414nu\nvidWMZ6Jn79dzGvrdvGN64cytHeXsMMRkTYiMzOTJUuWhB0GENtG7yJgg7tvdPejwBxgcoN9/hl4\n3t23ALj7rhjGc9bWbC/nv15ax6TB3fnUxflhhyMiEopYJow+wNZ6yyWRdfUNArLM7K9mtsTMPllv\nmwN/jqyfHsM4T+vw0Rrumv0OmZ1S+J+bR2roDxFps8J+SioZGAdMAjoCfzezf7j7e8Al7r4tUk31\nJzNb5+5vNHyDSDKZDpCXl9fsAT7w+zVs3HOIX94+npy0Ds3+/iIiiSKWJYxtQP2hW3Mj6+orAV51\n90ORtoo3gFEA7r4t8nsX8AJBFddJ3P0Jdy9098Ju3bo16wm8vHIHsxdu4fOXDWDCeV2b9b1FRBJN\nLBPGImCgmRWYWXtgKjCvwT6/BS4xs2Qz6wSMB9aaWWczSwcws87A1cCqGMZ6km37D/OV51YwKjeD\nL149qCU/WkRCNnHixJM64T300EPMmDHjlMekpQXz4Gzfvp2bb7650X2uuOIKmnr0/6GHHqKioqJu\n+brrrmP//v3Rhh5TMUsY7l4N3Am8CqwF5rr7ajO7w8zuiOyzFngFWAEsJHj0dhXQA3jLzJZH1v/B\n3V+JVawN1dQ6981ZRk2t88i0MaQkqUO8SFsybdo05syZc8K6OXPmMG3atCaP7d27N88+++xZf3bD\nhPHSSy+RmZl51u/XnGJ6J3T3l9x9kLsPcPfvRNY97u6P19vne+4+1N2Hu/tDkXUb3X1U5GfYsWNb\nyqOvbWBhcSnf+qfh9Mvp3PQBItKq3HzzzfzhD3+omyypuLiY7du3M2bMGCZNmsTYsWMZMWIEv/3t\nb086tri4mOHDhwNw+PBhpk6dypAhQ5gyZQqHDx+u22/GjBl1w6J//etfB+CRRx5h+/btTJw4kYkT\nJwKQn5/Pnj1B74IHH3yQ4cOHM3z48Lph0YuLixkyZAif+9znGDZsGFdfffUJn9Ocwm70jjuLi0t5\n+C/vMWVMH24cmxt2OCLy8kzYubJ537PnCLj2pH7EdbKzsykqKuLll19m8uTJzJkzh1tuuYWOHTvy\nwgsv0KVLF/bs2cOFF17IDTfccMqnJ3/84x/TqVMn1q5dy4oVK04Ymvw73/kO2dnZ1NTUMGnSJFas\nWMHdd9/Ngw8+yPz58+na9cR20yVLlvDUU0+xYMEC3J3x48dz+eWXk5WVxfr165k9ezY//elPueWW\nW3juuef4xCc+0Tx/q3pU11JP2eEq7pmzjNysTjwwOb5GyBSRllW/WupYdZS789WvfpWRI0fyoQ99\niG3btvHBBx+c8j3eeOONuhv3yJEjGTlyZN22uXPnMnbsWMaMGcPq1aubHFTwrbfeYsqUKXTu3Jm0\ntDRuvPFG3nzzTQAKCgoYPXo0cPrh08+VShgR7s5Xn1/JB+WVPDvjYtJTNXueSFw4TUkgliZPnsx9\n993HO++8Q0VFBePGjePpp59m9+7dLFmyhJSUFPLz8xsdzrwpmzZt4vvf/z6LFi0iKyuLT3/602f1\nPsccGxYdgqHRY1UlpRJGxNzFW/nDyh3cf/UgRveNjwYmEQlPWloaEydO5DOf+UxdY3dZWRndu3cn\nJSWF+fPns3nz5tO+x2WXXcavfvUrAFatWsWKFSuAYFj0zp07k5GRwQcffMDLL79cd0x6ejoHDhw4\n6b0uvfRSXnzxRSoqKjh06BAvvPACl156aXOdblRUwgA27DrIN+atYcJ5Odxx2YCwwxGRODFt2jSm\nTJlSVzX18Y9/nOuvv54RI0ZQWFjI4MGDT3v8jBkzuO222xgyZAhDhgxh3LhxQDBz3pgxYxg8eDB9\n+/Y9YVj06dOnc80119C7d2/mz59ft37s2LF8+tOfpqgo6JL22c9+ljFjxsSs+qkxbX548yPVNUx5\n7G12lB3mlXsvo0eX1BhFJyLR0vDmsRHXw5sngppaZ3DPdO6/apCShYjIabT5hNGpfTIP3jo67DBE\nROKeGr1FRCQqShgiEpdaU/tqPGiOv6cShojEndTUVPbu3auk0Uzcnb1795Kaem7ttG2+DUNE4k9u\nbi4lJSXs3r077FBajdTUVHJzz224IyUMEYk7KSkpFBQUhB2GNKAqKRERiYoShoiIREUJQ0REotKq\nhgYxs93A6UcDO7WuwJ5mDCdMreVcWst5gM4lHrWW84BzO5d+7t4tmh1bVcI4F2a2ONrxVOJdazmX\n1nIeoHOJR63lPKDlzkVVUiIiEhUlDBERiYoSxnFPhB1AM2ot59JazgN0LvGotZwHtNC5qA1DRESi\nohKGiIhEpU0lDDO7xszeNbMNZjazke1mZo9Etq8ws7FhxBmNKM7lCjMrM7NlkZ//DCPOppjZk2a2\ny8xWnWJ7Il2Tps4lUa5JXzObb2ZrzGy1md3TyD4JcV2iPJdEuS6pZrbQzJZHzuWbjewT2+vi7m3i\nB0gC3gf6A+2B5cDQBvtcB7wMGHAhsCDsuM/hXK4Afh92rFGcy2XAWGDVKbYnxDWJ8lwS5Zr0AsZG\nXqcD7yXw/5VoziVRrosBaZHXKcAC4MKWvC5tqYRRBGxw943ufhSYA0xusM9k4Bce+AeQaWa9WjrQ\nKERzLgnB3d8ASk+zS6Jck2jOJSG4+w53fyfy+gCwFujTYLeEuC5RnktCiPytD0YWUyI/DRuhY3pd\n2lLC6ANsrbdcwsn/cKLZJx5EG+fFkWLpy2Y2rGVCa3aJck2ilVDXxMzygTEE32brS7jrcppzgQS5\nLmaWZGbLgF3An9y9Ra+Lhjdvvd4B8tz9oJldB7wIDAw5prYuoa6JmaUBzwH3unt52PGciybOJWGu\ni7vXAKPNLBN4wcyGu3ujbWax0JZKGNuAvvWWcyPrznSfeNBknO5efqz46u4vASlm1rXlQmw2iXJN\nmpRI18TMUghusM+4+/ON7JIw16Wpc0mk63KMu+8H5gPXNNgU0+vSlhLGImCgmRWYWXtgKjCvwT7z\ngE9GnjS4EChz9x0tHWgUmjwXM+tpZhZ5XURwrfe2eKTnLlGuSZMS5ZpEYvxfYK27P3iK3RLiukRz\nLgl0XbpFShaYWUfgKmBdg91iel3aTJWUu1eb2Z3AqwRPGT3p7qvN7I7I9seBlwieMtgAVAC3hRXv\n6UR5LjcDM8ysGjgMTPXIYxTxxMxmEzyl0tXMSoCvEzTmJdQ1gajOJSGuCTAB+BdgZaS+HOCrQB4k\n3HWJ5lwS5br0An5uZkkESW2uu/++Je9h6uktIiJRaUtVUiIicg6UMEREJCpKGCIiEhUlDBERiYoS\nhoiIREUJQ6QJZlZTbyTTZdbI6MDn8N75dorRbUXiTZvphyFyDg67++iwgxAJm0oYImfJzIrN7H/M\nbGVknoLzIuvzzey1yGB2fzGzvMj6Hmb2QmQ+g+VmdnHkrZLM7KeROQ7+GOnFi5ndbcE8DivMbE5I\npylSRwlDpGkdG1RJ3VpvW5m7jwAeBR6KrPsR8HN3Hwk8AzwSWf8I8Lq7jyKYN2N1ZP1A4DF3Hwbs\nB26KrJ8JjIm8zx2xOjmRaKmnt0gTzOygu6c1sr4YuNLdN0YGuNvp7jlmtgfo5e5VkfU73L2rme0G\nct39SL33yCcYpnpgZPkrQIq7f9vMXgEOEoye+mK9uRBEQqEShsi58VO8PhNH6r2u4Xjb4keAxwhK\nI4vMTG2OEiolDJFzc2u933+PvH6bYARhgI8Db0Ze/wWYAXUT4WSc6k3NrB3Q193nA18BMoCTSjki\nLUnfWESa1rHeSKcAr7j7sUdrs8xsBUEpYVpk3V3AU2b2ZWA3x0cMvQd4wsxuJyhJzABONfR0EvDL\nSFIx4JHIHAgioVEbhshZirRhFLr7nrBjEWkJqpISEZGoqIQhIiJRUQlDRESiooQhIiJRUcIQEZGo\nKGGIiEhUlDBERCQqShgiIhKV/w8SDKlB5q+0vAAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -614,7 +660,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -655,7 +701,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -668,7 +714,7 @@ "\n", "dense_4 True\n", "Layer Configuration:\n", - "{'kernel_constraint': None, 'use_bias': True, 'trainable': True, 'dtype': 'float32', 'units': 512, 'name': 'dense_4', 'bias_constraint': None, 'kernel_regularizer': None, 'bias_initializer': {'config': {}, 'class_name': 'Zeros'}, 'kernel_initializer': {'config': {'seed': None, 'mode': 'fan_avg', 'distribution': 'uniform', 'scale': 1.0}, 'class_name': 'VarianceScaling'}, 'activity_regularizer': None, 'batch_input_shape': (None, 784), 'activation': 'relu', 'bias_regularizer': None}\n", + "{'batch_input_shape': (None, 784), 'name': 'dense_4', 'units': 512, 'bias_regularizer': None, 'bias_initializer': {'config': {}, 'class_name': 'Zeros'}, 'trainable': True, 'activation': 'relu', 'use_bias': True, 'bias_constraint': None, 'activity_regularizer': None, 'kernel_regularizer': None, 'kernel_constraint': None, 'kernel_initializer': {'config': {'seed': None, 'mode': 'fan_avg', 'scale': 1.0, 'distribution': 'uniform'}, 'class_name': 'VarianceScaling'}, 'dtype': 'float32'}\n", "----------------------------------------\n", "dropout_1 True\n", "Layer Configuration:\n", @@ -676,7 +722,7 @@ "----------------------------------------\n", "dense_5 True\n", "Layer Configuration:\n", - "{'bias_constraint': None, 'use_bias': True, 'trainable': True, 'units': 512, 'name': 'dense_5', 'kernel_constraint': None, 'kernel_regularizer': None, 'bias_initializer': {'config': {}, 'class_name': 'Zeros'}, 'kernel_initializer': {'config': {'seed': None, 'mode': 'fan_avg', 'distribution': 'uniform', 'scale': 1.0}, 'class_name': 'VarianceScaling'}, 'activity_regularizer': None, 'activation': 'relu', 'bias_regularizer': None}\n", + "{'kernel_regularizer': None, 'units': 512, 'bias_regularizer': None, 'bias_initializer': {'config': {}, 'class_name': 'Zeros'}, 'trainable': True, 'activation': 'relu', 'bias_constraint': None, 'activity_regularizer': None, 'name': 'dense_5', 'kernel_constraint': None, 'kernel_initializer': {'config': {'seed': None, 'mode': 'fan_avg', 'scale': 1.0, 'distribution': 'uniform'}, 'class_name': 'VarianceScaling'}, 'use_bias': True}\n", "----------------------------------------\n", "dropout_2 True\n", "Layer Configuration:\n", @@ -684,7 +730,7 @@ "----------------------------------------\n", "dense_6 True\n", "Layer Configuration:\n", - "{'bias_constraint': None, 'use_bias': True, 'trainable': True, 'units': 10, 'name': 'dense_6', 'kernel_constraint': None, 'kernel_regularizer': None, 'bias_initializer': {'config': {}, 'class_name': 'Zeros'}, 'kernel_initializer': {'config': {'seed': None, 'mode': 'fan_avg', 'distribution': 'uniform', 'scale': 1.0}, 'class_name': 'VarianceScaling'}, 'activity_regularizer': None, 'activation': 'softmax', 'bias_regularizer': None}\n", + "{'kernel_regularizer': None, 'units': 10, 'bias_regularizer': None, 'bias_initializer': {'config': {}, 'class_name': 'Zeros'}, 'trainable': True, 'activation': 'softmax', 'bias_constraint': None, 'activity_regularizer': None, 'name': 'dense_6', 'kernel_constraint': None, 'kernel_initializer': {'config': {'seed': None, 'mode': 'fan_avg', 'scale': 1.0, 'distribution': 'uniform'}, 'class_name': 'VarianceScaling'}, 'use_bias': True}\n", "----------------------------------------\n", "Model Output Tensors: Tensor(\"dense_6/Softmax:0\", shape=(?, 10), dtype=float32)\n" ] @@ -718,7 +764,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 17, "metadata": { "collapsed": true }, @@ -738,7 +784,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -747,7 +793,7 @@ "True" ] }, - "execution_count": 34, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } @@ -759,7 +805,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 19, "metadata": { "collapsed": true }, @@ -770,7 +816,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -779,7 +825,7 @@ "(45000, 512)" ] }, - "execution_count": 36, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -790,7 +836,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -799,7 +845,7 @@ "(45000, 784)" ] }, - "execution_count": 37, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } @@ -810,16 +856,493 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.manifold import TSNE\n", + "\n", + "tsne = TSNE(n_components=2)\n", + "X_tsne = tsne.fit_transform(hidden_features[:1000]) ## Reduced for computational issues" + ] + }, + { + "cell_type": "code", + "execution_count": 29, "metadata": { "collapsed": true }, "outputs": [], "source": [ - "from sklearn.manifold import TSNE\n", + "colors_map = np.argmax(Y_train, axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1000, 2)" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_tsne.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nb_classes" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ 1, 30, 62, 73, 86, 88, 89, 109, 112, 114, 123, 132, 134,\n", + " 137, 150, 165, 173, 175, 179, 215, 216, 217, 224, 235, 242, 248,\n", + " 250, 256, 282, 302, 303, 304, 332, 343, 352, 369, 386, 396, 397,\n", + " 434, 444, 456, 481, 493, 495, 496, 522, 524, 527, 544, 558, 571,\n", + " 595, 618, 625, 634, 646, 652, 657, 666, 672, 673, 676, 714, 720,\n", + " 727, 732, 737, 796, 812, 813, 824, 828, 837, 842, 848, 851, 854,\n", + " 867, 869, 886, 894, 903, 931, 934, 941, 950, 956, 970, 972, 974, 988]),)" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.where(colors_map==6)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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OvI9sPeGMjIzg2WefBQCsrKxg69atuPPOO0O9BgUXIRHSkpQPIQFQVRXFYnFt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tdeAwYHG4+JPRbi1OtEaFXWKgiqIDDzegaHP3146+uRTKuXRUjHQA0XITERl1zJzpS5g7dsFjh+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\nEJIw/z9ICX4F7LJYpgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "colors = np.array([x for x in 'b-g-r-c-m-y-k-purple-coral-lime'.split('-')])\n", + "colors_map = colors_map[:1000]\n", + "plt.figure(figsize=(10,10))\n", + "for cl in range(nb_classes):\n", + " indices = np.where(colors_map==cl)\n", + " plt.scatter(X_tsne[indices,0], X_tsne[indices, 1], c=colors[cl], label=cl)\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using Bokeh (Interactive Chart)" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " Loading BokehJS ...\n", + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/javascript": [ + "\n", + "(function(global) {\n", + " function now() {\n", + " return new Date();\n", + " }\n", + "\n", + " var force = true;\n", + "\n", + " if (typeof (window._bokeh_onload_callbacks) === \"undefined\" || force === true) {\n", + " window._bokeh_onload_callbacks = [];\n", + " window._bokeh_is_loading = undefined;\n", + " }\n", + "\n", + "\n", + " \n", + " if (typeof (window._bokeh_timeout) === \"undefined\" || force === true) {\n", + " window._bokeh_timeout = Date.now() + 5000;\n", + " window._bokeh_failed_load = false;\n", + " }\n", + "\n", + " var NB_LOAD_WARNING = {'data': {'text/html':\n", + " \"
\\n\"+\n", + " \"

\\n\"+\n", + " \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n", + " \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n", + " \"

\\n\"+\n", + " \"
    \\n\"+\n", + " \"
  • re-rerun `output_notebook()` to attempt to load from CDN again, or
  • \\n\"+\n", + " \"
  • use INLINE resources instead, as so:
  • \\n\"+\n", + " \"
\\n\"+\n", + " \"\\n\"+\n", + " \"from bokeh.resources import INLINE\\n\"+\n", + " \"output_notebook(resources=INLINE)\\n\"+\n", + " \"\\n\"+\n", + " \"
\"}};\n", + "\n", + " function display_loaded() {\n", + " if (window.Bokeh !== undefined) {\n", + " var el = document.getElementById(\"0af86eff-6a55-4644-ab84-9a6f5fcbeb3e\");\n", + " el.textContent = \"BokehJS \" + Bokeh.version + \" successfully loaded.\";\n", + " } else if (Date.now() < window._bokeh_timeout) {\n", + " setTimeout(display_loaded, 100)\n", + " }\n", + " }\n", + "\n", + " function run_callbacks() {\n", + " window._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n", + " delete window._bokeh_onload_callbacks\n", + " console.info(\"Bokeh: all callbacks have finished\");\n", + " }\n", + "\n", + " function load_libs(js_urls, callback) {\n", + " window._bokeh_onload_callbacks.push(callback);\n", + " if (window._bokeh_is_loading > 0) {\n", + " console.log(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n", + " return null;\n", + " }\n", + " if (js_urls == null || js_urls.length === 0) {\n", + " run_callbacks();\n", + " return null;\n", + " }\n", + " console.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n", + " window._bokeh_is_loading = js_urls.length;\n", + " for (var i = 0; i < js_urls.length; i++) {\n", + " var url = js_urls[i];\n", + " var s = document.createElement('script');\n", + " s.src = url;\n", + " s.async = false;\n", + " s.onreadystatechange = s.onload = function() {\n", + " window._bokeh_is_loading--;\n", + " if (window._bokeh_is_loading === 0) {\n", + " console.log(\"Bokeh: all BokehJS libraries loaded\");\n", + " run_callbacks()\n", + " }\n", + " };\n", + " s.onerror = function() {\n", + " console.warn(\"failed to load library \" + url);\n", + " };\n", + " console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n", + " document.getElementsByTagName(\"head\")[0].appendChild(s);\n", + " }\n", + " };var element = document.getElementById(\"0af86eff-6a55-4644-ab84-9a6f5fcbeb3e\");\n", + " if (element == null) {\n", + " console.log(\"Bokeh: ERROR: autoload.js configured with elementid '0af86eff-6a55-4644-ab84-9a6f5fcbeb3e' but no matching script tag was found. \")\n", + " return false;\n", + " }\n", + "\n", + " var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-0.12.5.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.5.min.js\"];\n", + "\n", + " var inline_js = [\n", + " function(Bokeh) {\n", + " Bokeh.set_log_level(\"info\");\n", + " },\n", + " \n", + " function(Bokeh) {\n", + " \n", + " },\n", + " \n", + " function(Bokeh) {\n", + " \n", + " document.getElementById(\"0af86eff-6a55-4644-ab84-9a6f5fcbeb3e\").textContent = \"BokehJS is loading...\";\n", + " },\n", + " function(Bokeh) {\n", + " console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-0.12.5.min.css\");\n", + " Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-0.12.5.min.css\");\n", + " console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.5.min.css\");\n", + " Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.5.min.css\");\n", + " }\n", + " ];\n", + "\n", + " function run_inline_js() {\n", + " \n", + " if ((window.Bokeh !== undefined) || (force === true)) {\n", + " for (var i = 0; i < inline_js.length; i++) {\n", + " inline_js[i](window.Bokeh);\n", + " }if (force === true) {\n", + " display_loaded();\n", + " }} else if (Date.now() < window._bokeh_timeout) {\n", + " setTimeout(run_inline_js, 100);\n", + " } else if (!window._bokeh_failed_load) {\n", + " console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n", + " window._bokeh_failed_load = true;\n", + " } else if (force !== true) {\n", + " var cell = $(document.getElementById(\"0af86eff-6a55-4644-ab84-9a6f5fcbeb3e\")).parents('.cell').data().cell;\n", + " cell.output_area.append_execute_result(NB_LOAD_WARNING)\n", + " }\n", + "\n", + " }\n", + "\n", + " if (window._bokeh_is_loading === 0) {\n", + " console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n", + " run_inline_js();\n", + " } else {\n", + " load_libs(js_urls, function() {\n", + " console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n", + " run_inline_js();\n", + " });\n", + " }\n", + "}(this));" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from bokeh.plotting import figure, output_notebook, show\n", "\n", - "tsne = TSNE(n_components=2)\n", - "X_tsne = tsne.fit_transform(hidden_features) " + "output_notebook()" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "
\n", + "
\n", + "
\n", + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "p = figure(plot_width=600, plot_height=600)\n", + "\n", + "colors = [x for x in 'blue-green-red-cyan-magenta-yellow-black-purple-coral-lime'.split('-')]\n", + "colors_map = colors_map[:1000]\n", + "for cl in range(nb_classes):\n", + " indices = np.where(colors_map==cl)\n", + " p.circle(X_tsne[indices, 0].ravel(), X_tsne[indices, 1].ravel(), size=7, \n", + " color=colors[cl], alpha=0.4, legend=str(cl))\n", + "\n", + "# show the results\n", + "p.legend.location = 'bottom_right'\n", + "show(p)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Note: We used `default` TSNE parameters. Better results can be achieved by tuning TSNE Hyper-parameters" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercise 1: Try with a different algorithm to create the manifold" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from sklearn.manifold import MDS" ] }, { @@ -830,7 +1353,14 @@ }, "outputs": [], "source": [ - "colors = np.ar" + "## Your code here" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercise 2: Try extracting the Hidden features of the First and the Last layer of the model" ] }, { @@ -841,15 +1371,22 @@ }, "outputs": [], "source": [ - "colors = 'bgrcmykpoa'\n", - "color_classes = np.argmax()\n", - "plt.scatter(X_tsne[:,0], X_tsne[:, 1], c=colors[Y_train])" + "## Your code here" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python [default]", "language": "python", "name": "python3" },