diff --git a/doc/pub/week38/ipynb/week38.ipynb b/doc/pub/week38/ipynb/week38.ipynb index 7589c3302..50f4b8214 100644 --- a/doc/pub/week38/ipynb/week38.ipynb +++ b/doc/pub/week38/ipynb/week38.ipynb @@ -242,7 +242,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -411,7 +411,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -421,7 +421,7 @@ "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m#Model training, we compute the mean value of y and X\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0my_train_mean\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my_train\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mX_train_mean\u001b[0m \u001b[0;34m=\u001b[0m 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2\u001b[0;31m \u001b[0my_train_mean\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my_train\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mX_train_mean\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX_train\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0maxis\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mX_train\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mX_train\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mX_train_mean\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0my_train\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0my_train\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0my_train_mean\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mNameError\u001b[0m: name 'y_train' is not defined" ] } @@ -688,7 +688,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -699,22 +699,22 @@ "Fitted beta: [2.08376632 0.19569961 3.97898392]\n", "Sklearn fitted beta: [2.08376632 0.19569961 3.97898392]\n", "MSE with intercept column\n", - "0.004113634617443131\n", + "0.004113634617443142\n", "MSE with intercept column from SKL\n", - "0.0041136346174431284\n", - "Manual intercept: 2.083766322923905\n", + "0.004113634617443129\n", + "Manual intercept: 2.0837663229239056\n", "Fitted beta (wiothout intercept): [0.19569961 3.97898392]\n", - "Sklearn intercept: 2.0837663229239025\n", + "Sklearn intercept: 2.0837663229239043\n", "Sklearn fitted beta (without intercept): [0.19569961 3.97898392]\n", "MSE with Manual intercept\n", - "0.004113634617443137\n", + "0.004113634617443132\n", "MSE with Sklearn intercept\n", - "0.004113634617443135\n" + "0.00411363461744314\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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dx7m4uBh0SZsQAjYuGM3tQaf5bupIxtSRJA0N6GSiEKJh2/nuM/T+8TQJ7c25e8Fnxg7nlkiiFkLUe7/v/pJ2n3xHUivo98FmLHV1azVBSdRCiHot4XQ0Gcv9KdCgub8/9p17GTukW9agErW5uXmx+hFxcXEMHDgQqLjkZmJiov4WcFMye/ZsNm/eXOL5F198kb1795a7b0hISLllQmva2rVri92mPW3atGI3JQlRVXm5OSRueJw0u3yS5vjhObRunihuUIm6qABR0cPBwUGfqCpK1G+++WaJYk2mzN/fn7vvLr+wTGUSdWm3nlfWzYn63//+N6+//nq1vb4QBz94lL55YdjNmMuYf5csjVBXNKhEXZqixQEWL17M/v37cXd3L/UuuS1btjBy5EigMMH4+fkxbNgwHBwcePfdd3nzzTfp06cPXl5e+luqP/74Y/r164ebmxuTJk3SXx89e/ZsnnzySQYOHEjXrl3Zvn07UJg4bxy1P/7446xduxYoTLz9+vWjd+/ezJkzp8K7F28caTs4OLBs2TI8PDxwcXHhxIkTxMXF8cEHH/DWW2/h7u7O/v37SUpKYtKkSfTr149+/frpq8ctX76cmTNn4u3tzcyZM7lw4QITJkzAzc0NNzc3fbL/3//+p78D8NFHHyU/P1//M16wYAHOzs4MHTqUpKQktm/fTmhoKDNmzMDd3Z3MzEwGDRrE3r17q/WPgWi4Ni3ygy8OsafpKO6Y/JSxw6kSo12e9+CPD5Z4boTDCMZ0GENmXibz9s4rsf2e7vfg192PK1lXeCqk+A/+s5EVn8Utqr0M0KVLF33FNSgsHbpy5Up27txZYr/Tp0/TsmXLYoWNjh07Rnh4OFlZWXTv3p3XXnuN8PBwFixYwPr16/nPf/5TrK71888/z6effsoTTzwBFE6l/PLLL5w4cYKxY8eWuBb6Zo8//jgvvvgiADNnzmTnzp2MGzeuwj4XsbW15ciRI7z//vusXLmSTz75hLlz52JlZcUzzzwDwH333ceCBQu48847OXv2LCNGjOD48eMAREdH88svv6DT6Zg6dSp33XUX27ZtIz8/n/T09GIlUi0sLJg3bx4bNmzggQceICMjg759+/LWW2/h7+/PihUrePXVV/n0009ZuXJlsVu1u3fvTmRkJJ6engb3TYgi28MTCNwVQ59zG3g0KIYzHc0Z+thHxg6ryhrUddRFUx+3qrTyo76+vlhbW2NtbU2LFi30SdPFxYWjR48Chcn8+eefJyUlhfT0dEaMGKHf38/PDzMzM5ycnEhKSqowhuDgYF5//XWuXbvG5cuXcXZ2vqVEPXHiRKCwxOrWraUvL1RemdLx48frq8kFBQWxfv16oHDev0WLFnz++edllkg1MzPTV8W7//779bGUpqi8qCRqcau2hyewZGsU3a/9zgMHDnK5BQR6PEnen2n49Wlu7PCqxGiJuqwRcFpaGrpGunJHyC2btDRoBF1ddDpdidKZN46uzczM9N+bmZnpP7rPnj2b7du34+bmxtq1awkJCSl1/6JpjEaNGlFQUKB/vuiYWVlZzJs3j9DQUDp16sTy5ctLxFORouOVVeIUyi9T2qxZs3JfX5VTIvVmpZU4LSLlRUVlBe6KoXnmWRYc/gKzAnjHaxJn6Ejgrhj8+pjOai2V0eDnqIuUVzq0R48exMXF3fJrpqWlYW9vT25urn6llPJ07tyZ6OhosrOzSUlJ4aeffgL+Sdi2trakp6eXepVHZdzc5/LKlN5o6NCh/N///R9QWHA/NTW13BKpBQUF+pi/+OIL7rzzzlKPD1JeVFReckoKARYfkddY8cWdnoRaDgDgfEqmkSOrOknU15VXcrNZs2Z069bNoFrRN/rvf/9L//798fb2pleviq/d7NSpE/feey+9e/fm3nvv1a8oY2NjwyOPPELv3r0ZMWKEfnqhqsaNG8e2bdv0JxPLK1N6o1WrVhEcHIyLiwuenp5ER0eXWyK1WbNm/Pbbb/Tu3ZugoCD9XPvs2bOZO3eu/mTihQsX0Ol0sk6huGUZaam8Y/42dzU+xXavSWy1nq7f1t6m7n9C0yq6eqAy+vbtq0JDQ4s9d/z4cRwdHSvcN62GluKqqm3bthEWFsZLL71U7a9tqn2uLlZWVvq57iKl9fmtt96iefPmPPTQQ7UZ3i0x9Pf4ZiEhIfj4+FR/QCastvqcm5PNt/fegS4zi4N9R/F5/jD9Np2FOa9OdKm1qY+q9FnTtDClVKlF0GVEbaAJEybg4OBg7DDqNRsbG2bNmmXsMEQdkp+Xx7ZZ3jieyCGlczs8Jy+kg40ODehgo6vVJF2TGtRVH1V146rawnA3j6bL8uCDJS/ZFKI8X8/1xS08g6OeVtz7/k+YN2pULxLzzWRELYSokzY9NQa3Xy4R7WTJxM9+wbxR/R13SqIWQtQ5oTs/wkULI9rZgtGf7zPt9Q6rgSRqIUSdEvzlStx+XwytuzPm84PomtXtm1kMIYlaCFFn7Pp0OS1f/pRvz7Wn47wdNGlqZeyQaoUkaiFEnbBvy7u0Xr2JVGtwefJDmtu0NnZItaZBJeqXX34ZZ2dnXF1dcXd31y8A6+DgwKVLl0q0L6qsV5u2b9+Ov78/AElJSfTv358+ffqwf/9+Ro8eTUpKCikpKbz//vvlvs758+eZPHlyhcd75ZVXqiXuyqiotOzN+vfvj7u7O7fddhtt2rQpVle8KqQOtukL++lrGr/yHjkW0CLgFW538zZ2SLVLKVXtD09PT3Wz6OjoEs+V5urVqwa1u1UHDx5UXl5eKisrSymlVFJSkkpISFBKKdW5c2eVlJRUYp9mzZpVy7Hz8vLK3X5jnwcMGKCP5csvv1QPPfRQifanT59Wzs7O1RJbZfpYUX8McfXqVRUcHKzGjBlzy/t+9tln6rHHHivxfG5ubqViCQkJUQ8//LBBbQ39Pb5ZcHBwpfary6qrz+dOH1chXr3Ub2691IEdH1XLa9aUqvQZCFVl5FSjjajPzHygxOPy9dFVQWZmqdtTthaWJc27cqXEtookJiZia2urL05ka2tL+/bti7XJzMxk1KhRfPzxxyX2DwwMpF+/fri6urJs2TL9835+fnh6euLs7MxHH/1TTtHKyoqnn34aNzc3Dh06hJWVFUuXLsXNzQ0vLy8uXLhQ4hh//vknlpaW2NraEhERwaJFi9ixY4f+Fuuikf/ixYuJjY3F3d2dhQsXltrfuLg4fc2MtWvXMnHiREaOHMntt9/OokWLgMIa3EWlX2fMmAGUX1P6xv6sX78eV1dX3Nzc9CVaK6pnPWDAAG6//Xb9z7eiGuCGuLlW9tq1a3n88X9Wlx47dqy+GNbu3bsZMGAAHh4eTJkyRX99t9TBNl2pVy6RvX4q+e6ZXPnPDAaOrzuLd1SnBjP1MXz4cOLj4+nRowfz5s3j559/LrY9PT2dcePGMX369BIruezevZuTJ0/y22+/ERERQVhYGPv27QNgzZo1hIWFERoayurVq0lOTgYgIyOD/v37ExkZyZ133klGRgZeXl5ERkYyePDgUv8YHDhwAA8PDwDc3d3x9/dn6tSpREREFKsoFxAQQLdu3YiIiCAwMNCg/kdERLBp0yaioqLYtGkT8fHxBAQE6Eu/btiwoVhN6YiICMzNzfXFpG7sT8uWLXnppZcICgoiMjKSVatWATB//nwWLFjA77//zpYtW4rdIHT06FGCgoI4dOgQ/v7+JCYmEhAQwKBBg4iIiGDBggXExMQUWyrtxkdKSkqZfYuOjmbv3r18+eWXZba5dOkSL730Env37uXIkSP07duXN998EyiseFhUB1uYjssX4jn00nA65sfTZvpbDJ/9vLFDMhqjXSHe+fP1pT6flpaGmU5X5naARi1blru9NFZWVoSFhbF//36Cg4OZOnUqAQEBzJ49G4B77rmHRYsW6UeWN9q9eze7d+/WF0lKT0/n5MmTDB48mNWrV+sXIIiPj+fkyZO0bt0ac3NzJk2apH+Nxo0b61dv8fT0ZM+ePSWOU1rd6+oydOhQWrRoAYCTkxNnzpyhU6dOxdr89NNPZdaUvrE/QUFBTJkyBVtbWwBatWoFlF/P+p577kGn06HT6fD19SUsLAx7e/tix+/Zs2el6oXfWCu7LIcPHyY6Ohpv78K5zZycHAYMGKDfLnWwTUtGWioHZo/itrP5/LLkGYYMnmDskIyq/t7KUwpzc3N8fHzw8fHBxcWFdevW6RO1t7c3P/74I/fdd1+JeslKKZYsWcKjjz5a7PmQkBD27t3LoUOHaNq0KT4+PvqSpE2aNMHc3Fzf1sLCQv+6ZdWE1ul0pKamVmeX9W6sf13W8VU5NaVv7k9pyqtnffPPtLSa1DExMfoFBm4WEhKCjY1NqdturJVdVk1vpRTDhg0rc9QtdbBNR25ONrtmDsbxdD6RY7sz7f7njB2S0TWYqY+YmJhiZ/YjIiLo3Lmz/nt/f39atmzJY489VmLfESNGsGbNGv3oMCEhgYsXL5KamkrLli1p2rQpJ06c4PDhw1WK0dHR0aBSquXVzr5VFhYW5ObmApRbU/pGQ4YM4euvv9ZP8xStEVlePesdO3aQlZVFcnIyISEheHh4lOhH0Yi6tEdZSfpmDg4OREREUFBQQHx8PL/99hsAXl5eHDhwQP/zzcjI4M8//9TvJ3WwTUN+Xh7bHigsshR5lx3TVn5r7JBMQoNJ1Onp6cyaNQsnJydcXV2Jjo5m+fLlxdqsWrWKzMxM/cm2IsOHD+e+++5jwIABuLi4MHnyZNLS0hg5ciR5eXk4OjqyePFivLy8qhTj4MGDCQ8Pr3Dh2tatW+Pt7U3v3r3LPJloqDlz5uDq6sqMGTPKrSl9I2dnZ5YuXcpdd92Fm5sbTz1VuH5lefWsXV1d8fX1xcvLixdeeAF7e/tya4BXlre3N126dMHJyYknn3xSP+ffpk0b1q5dy/Tp03F1dWXAgAGcOHECQOpgm5CtL07EJSKDo57WTHlvr7HDMR1lXQ5SlYcpXp5nym7s85NPPqn27NljxGiq37Jly1RgYGCx50zpfX7zzTfVJ598YlBbuTzPcLfa58NfvqLyX2yuvv7PIJVXyUstja3eXZ4nSvfcc89x7do1Y4fRoEgdbOPb7D+TtkfeIrLZQPxe31uvK+FVhkE/DU3T4oA0IB/IU2WsQiCqzs7OjvHjxxvcPioqSn8dcxFLS0v9XZem4OYpJlMjdbCNa/vKefTcGEpkt7aM/GozjSwaGzskk3Mrf7Z8lVIl77MWRuXi4lKpS9qEMAW7PlmGw9pg/raF/u9upomu/NXuGyqZ+hBCGMW+ze/S+p2vSLUGh3c+wb5zxQtAN1QGLW6radpp4AqggA+VUh+V0mYOMAfAzs7Oc+PGjcW2t2jRgu7du1d4rPz8/Aqv161vpM91x6lTpyp1rXt6erpRinwZU3l9zricQMGn/6X1RY2Euf+iTbd+tRxdzajK++zr61vm4raGJuoOSqkETdPaAnuAJ5RS+8pqXx9XIa9J0ue6Q1YhN1xZfb50/gzZHw+DvGskeL/KHSNnlty5jjLqKuRKqYTr/14EtgF3VCoSIzM3N8fd3R1nZ2fc3Nx44403it3FVppbLcUphCjb2ZOR7HtyFOY5qWRM+F+9StI1qcJErWlaM03TrIu+BoYDx2o6sJpQVIDojz/+YM+ePfzwww+sWLGi3H0kUQtRPS5fiCf60el0P64I6/Qvenj4GDukOsOQEbUd8IumaZHAb8B3SqkfazYs2B6egHdAEF0Wf4d3QBDbwxOq9fXbtm3LRx99xLvvvotSiri4OAYNGoSHhwceHh4cPHgQKFmKs6x2Qoiypade5sCskXRKVJycdgdj5pasJyPKVuHleUqpvwC3WohFb3t4Aku2RpGZW1gLOSElkyVbowDw69Oh2o7TtWtX8vPzuXjxIm3btmXPnj00adKEkydPMn36dEJDQwkICGDlypXs3LkTgGvXrpXaTghRutycbHY/4INjXAFHx/Vg6gvrjB1SnWOSt/8E7orRJ+kimbn5BO6KqdZEfaPc3Fwef/xxfR3mGwv2VKadEAJUQQHBb83EPiGXCJ92TA/cYeyQ6iSTTNTnUzJv6fnK+uuvvzA3N6dt27asWLECOzs7IiMjKSgoKLVUJ8Bbb71lUDshGqrt4QkE7ophWqc0olc8wjxtF0H3T2Dak2uMHVqdZZKJur2NjoRSknJ7m+qrF5yUlMTcuXN5/PHH0TSN1NRUOnbsiJmZGevWrdMvQXVzKc6y2gkhik9b6mLfpF3Keb7qOQiLQf9FM5P76yrLJH9yC0f0RGdR/GYInYU5C0f0rNLrFq0P6OzszN13383w4cP16x/OmzePdevW4ebmxokTJ/TF6G8uxVlWOyHEP9OWcy+txnv/RXIzLFmaM5uVe2SV96owyRF10Tx04K4Yzqdk0t5Gx8IRPas8P13e6Pf222/n6NGj+u9fe+01oLCwflBQULG2pbUTQhROTz5x4Q1GH0ok9jaNF3ovIddMV+3Tlg2NSSZqKEzWNXXiUAhRM5658BpDDiUR08WcuMnPkn7SBqjeacuGyCSnPoQQdYsqKODQZ8/Sp+lpjvVoxLMuyzBv0hyonmnLhq5WE7UhdUWEMFXy+1u6/Lw8vnl5KgPOfIBF94GYv7gT21atAehgo+PViS7y6biKam3qo0mTJiQnJ9O6detSV6AWwpQppUhOTpbLMW+Sm5PNtlneOEdk8M2UOxn75Bf0MzdnYt/OhISE8MQMH2OHWC/UWqLu2LEj586dIykpqdx2WVlZDe4/g/S5bmjSpAkdO3Y0dhgmIzvzGt/O9MblWBZH+1oz+cUdmNXB0rV1Qa0lagsLC7p06VJhu5CQEPr06VMLEZkO6bOoazLSUtk1czDOJ3KIHNiKKR/9LOsc1iA5mSiEuCXZWdf44bkROJ7IIcLHjmlrDkiSrmGSqIUQBsu6lk7M2+OZ2Oo4J2bdwfQPQowdUoMgiVoIYZCLCbHsurc/jZOOEeq6nAlLpApebZFELYSoUHzsMcLvH0e32AKirIZwx6QFxg6pQZFELYQo11/Rv3HiwSm0v6CIub8/U1bIike1TRK1EKJMf0bu58wjs2h7GWL/5cukpWuNHVKDJKdqhRCl+jv+FGZb53DNpoCM+8bj91igsUNqsCRRCyFKOBK8haZ7n6VDo3Tyln1OrzuGGTukBk0StRCimIPffQbLXufv1o0wf+1rerkPMnZIDZ4kaiGE3r7N72L5ynsAWD/6BLdLkjYJkqiFEADs/TwAmzfWkdMIzP67mEGjZhk7JHGdJGohBH8c/A6zj9aRaQlWAS/Rx3eSsUMSN5BELUQDF7VvB91+eoRM79Y08XuT3l6jjB2SuIkkaiEasO2BczE/HITO1Q6H/3yPbbtOxg5JlEJueBGigdri/wDdPvuZJpca0WTGF5KkTZiMqIVogL5aOgXnrceIt9dw+XQzHbo4GTskUQ5J1ELUU9vDEwjcFcP5lEza2+hYOKInfn06sHHheFy+PUlcJzP6r9+JrX3FC3oI45JELUQ9tD08gSVbo8jMzQcgISWTJVujUIfeo2t2GKe6t2TwZ7to2UYWna0LZI5aiHoocFeMPkkXeTDtAyZcfI9GnTwYtSVUknQdIolaiHrofErmP9+ofJ4/s4IxP8bw2WUXXP+zhcaWdWth4YZOErUQ9VB7G13hFyqfFX8txzs8jUinxnzSdimNLBobNzhxyyRRC1EPLRzRE2uzbF45+QJ3RGXyu4sOf8eXWTjG1dihiUqQk4lC1EO+nRuzIu1lHKNzONDHmk97v0TAaGf8+si8dF0kiVqIeib2j19pvHk2Y1td4Ic5U3n4qf/jYWMHJapEErUQ9cjOd5+h1brvsBicRfq9X3JP/xHGDklUA0nUQtQTm54ei/P3sSS1giZjAnGUJF1vSKIWoo7LzLjKtw8PwTU8g1NdzOn7wWbsO/cydliiGhmcqDVNMwdCgQSl1NiaC0kIYajUK5fYvWg4LuGZHPW0xu+TECx1TY0dlqhmt3J53nzgeE0FIoS4NWf/PErKO3cxul0cf9znwdQNv0mSrqcMStSapnUExgCf1Gw4QghDfPfes/z58FTystKIG/U/Jr+4wdghiRqkKaUqbqRpm4FXAWvgmdKmPjRNmwPMAbCzs/PcuHFjpQJKT0/HysqqUvvWVdLn+q86+xu3+RU8g+JJtoELsx/ArseAannd6tbQ3mOoWp99fX3DlFJ9S92olCr3AYwF3r/+tQ+ws6J9PD09VWUFBwdXet+6Svpc/1VHf7OuZahN9/VV0T17qW+HO6lzf/1R9cBqUEN7j5WqWp+BUFVGTjXkZKI3MF7TtNFAE6C5pmn/U0rdX6k/G0KIW3Y1JZldjw/FJSybKA8rxn38E7pmzY0dlqglFc5RK6WWKKU6KqUcgGlAkCRpIWpPwl/Hubz6LgbdlsBRP0fu/eJ3SdINjFxHLYQJ+/6D5yj4div9Pa5yYcwapnqPM3ZIwghuKVErpUKAkBqJRAhRzKZFfjjtjCHZRuPcsPfpI0m6wZIRtRAmJjvzGtsf8cE1NI3Y28xw+79NdOrW29hhCSOSRC2ECUlLvcyuh31wjcolyr0Z4z4NkvloIYlaCFNxPi6G7PVTcO58kaO39WXqGzuNHZIwEbLCixA1aHt4At4BQUQlpOIdEMT28IRS2/348Qv8vmQ8LfMvkTf+Q0nSohgZUQtRQ7aHJ7Bka1ThauCdICElkyVbowCKrbTy1ZJJOO6I5nILM84/tQ6XfsOMFbIwUTKiFqKGBO6KKUzSN8jMzSdwVwxQeNJw08z+uGyL5mxHM7qs34iTJGlRChlRC1FDzqdklvl8+tUr7J45GNeYPI656Rj9STDNrFvUcoSirpARtRA1pL2NrtTnXa1Tufi2D207pBA5sjNTNh2RJC3KJYlaiBqycERPdBbmxZ4bk/kNc+OWYVtwkRZTVzHt7R+NFJ2oS2TqQ4gaUnTCsHBOOo15V95j5C+nudyiERee2IaLq5dxAxR1hiRqIWqQX58OjHG25at/DcIjNI3THc1wemcdDo6llx0WojSSqIWoQefPxHBkzkQ8zhTwh0sTRq0JkflocctkjlqIGnLkx7U0+8wXzS6bX+/uxIQvf5ckLSpFRtRCVLOLCbHsmz+Z29pf5GLb9ri+8CmxCVcwbyT/3UTlyIhaiGq09/MATkwai+OxLP7K7obDogN0ut3N2GGJOk7+xAtRDbIzr7F1/ih6/3KRq80gbr4f0/79qrHDEvWEJGohqijxTAy/Bk7DfV8WJ3pa4Lnyc7xlFC2qkUx9CFEFe9f70+wzH4a0SuT47IGM33KE2yRJi2omI2ohKiHxzAkOLpiGw6lsjo3vQOd/fc7Ero7GDkvUU5KohbhFu9asoOmHG+l1FaIGtuaeJd/LKiyiRkmiFsJAOdlZbJ13Ny4Hk7liDeeemcq0h5YbOyzRAEiiFsIACX8dJ+2LB7G6nMyJXk0Z8NZG2jvIVIeoHZKohShHfl4eW5ZNp0fWYbpa55E66wX6+80zdliigZFELUQZ4mOPEfrUfbjE5HLcqQV2b22hf+eexg5LNECSqIUoxfcfPEeLNdvong4Rg9sycdUPWOqaGjss0UBJohbiBrk52ezwn4Lj5pMk28CFxTOZ/sBzxg5LNHCSqIW47vSJMHI3z2W89ifbBvTE96Uvaduhm7HDEkIStRD5eXlsfm4ydr/E0NX3KsfufJupox40dlhC6EmiFg3amRNhhD8zG9dTeZzuZEa631o8+g0zdlhCFCOJWjRYO999hlZrv6PbNYgcYs+kt3/AorGlscMSogRJ1KLBycnO4shnT2H+7U/kNDYj6emHmDb9GWOHJUSZJFGLBuXgd59hfnAVXhanCbp7BL3vfw1b+y7GDkuIckmiFg1CduY1ti6eiONPZzjXWRE+/z2GDL/f2GEJYRBJ1KLe+/6D57DcsA33JIjtbEZ3/3fo5TnE2GEJYTBJ1KLeunAuln2vzaT3nitcbg5bh/TiY+sH6bAHFpol4Neng7FDFMIgkqhFvZOSnMih9S9yV8oOfJrDDwNv5x27f5OkWgKQkJLJkq1RAJKsRZ0gS3GJeiM/L49trz1K1Ogh6Dbv53hTT3If3seHPf6rT9JFMnPzCdwVY6RIhbg1MqIW9cLhH9aRtOp1esUV8HcrSL93JD7z3wbgfEpsqfucT8msxQiFqLwKE7WmaU2AfYDl9fablVLLajowIQyRfvUKe958kO5fxWDRCCLv7si4VzfTzLqFvk17Gx0JpSTl9ja62gxViEozZOojGxiilHID3IGRmqZ51WhUQlQgNyebXR8/R9ab7owtCCa6rxVW6z9k2rt7iiVpgIUjeqKzMC/2nM7CnIUjpLa0qBsqHFErpRSQfv1bi+sPVZNBCVGeoC9WkvvxGmxSFfHjbLnst46pHj5lti86YRi4K4bzKZm0t9GxcERPOZEo6gyD5qg1TTMHwoDuwHtKqV9rNCohShEbdZBw/8dwjMoivSnEDe/FxKUbDarP4dengyRmUWdphQNmAxtrmg2wDXhCKXXspm1zgDkAdnZ2nhs3bqxUQOnp6VhZWVVq37pK+ly+gvw8Lv66ge6bDmOZC8dcm2I1eQHWth1rOMrqI+9xw1CVPvv6+oYppfqWulEpdUsP4EXgmfLaeHp6qsoKDg6u9L51lfS5bD9veUf9tcJFqWXN1Vf3u6oDOz6q2cBqiLzHDUNV+gyEqjJyqiFXfbQBcpVSKZqm6YBhwGuV+pMhhIGOHviW2NeW0jU2l8vj8rni+y6TX5yBZiaX/ouGx5A5antg3fV5ajPgK6XUzpoNSzRUKcmJ/PjsvfQ6fImuwPEBtox4eiMt28j8smi4KhyeKKWOKqX6KKVclVK9lVL+tRGYqJ+2hyfgHRBEVEIq3gFBbA9PAEAVFPDrzk+IHDsEt18uEdelEer/Apj2yX5J0qLBkzsTRa3ZHp7Akq1RZObmQ6d/am6kRO/BI349/bPC2NazI2l9R+H3+EpjhyuEyZBELWpN4K6YwiR9XZv8v3ns9Pt4brlG+vBrHO6/iHFLF9LIorERoxTC9EiiFrWmqLaGmcqh8YH/453D8Vhfg0jHxtzxr0/p7jrQyBEKYZokUYtaY9/ckh7pvzIxfAO3n1actdf45E5fjrefxH2SpIUokyRqUeMy0lL54Y15rFGR9Gocz7f2duzr2pXXrB7FsrGOV6XmhhDlkkQtasylxNPsfXUuHQ+fxfkqnB5mRpTbUt5p7MqUztnYx1tLzQ0hDCCJWlS7xDMn+dn/QboeScYtE8500EiaNIixC1Zj0diSKUBISAhPzPAxdqhC1AmSqEW1if3jVy4Ff4jThW+xj25Non0jrkycxMiHVxg7NCHqNEnUospCvn6Hyxs+of3ZHHqOvshx2+HYvTOHu/r6Gjs0IeoFSdSiUvLz8vjhwyXwzfd0O1NA88Zw0tUa26mfcoeLXMEhRHWSRC1uSX5eHpF7PiclaDXdvs0itSlE3mWH98J38OjuYuzwhKiXJFELg6QkJ7LrlTk0vniKCd3Oc87KnkNTXBn2n1V4tbY3dnhC1GuSqEW54mOPceD1x3H4/QKu1wqv4Aid+iZ9Rs5iSiP59RGiNsj/NFGqiwmnCXlrLt13n8UtB2I7m3Fp3GhGzX0Vc0nQQtQq+R8nijm081OuhG3l7oJDeGgWHO1iR6v7/sXYqf8xdmhCNFiSqAUAu9asIGvz1/T4K5/k7gWEj/Sj05hFTOzSy9ihCdHgSaJuwAry8/l21XwsdwbR+bwivQlEDmxNvwWv000usRPCZEiiboBORh7gwrFgOsZuotGJa1inNyZy+G3cveQD+tl3MXZ4QoibSKJuIM7GHOHQJyuwijyFQ3wB2pB08tu1xmbCY7iPfAhv6xbGDlEIUQZJ1PXY1ZRkwr//kKvrN+BwtgDXAkiygSivlnQZu5iuI2bSTVb1FsLkSaKuZy4mxBLywVK4eAq/dqcZRB678toT3bc5bUbdy11T5vNt1AWe2hXD+Z9/oL2NTkqNCmHiJFHXA5cvxBP04VIa/RZOl7g8XPLgfBsIc5tIqzumM3KZD9r1kXOxBWb5Z4FZQJK1ECZKEnUdlZKcyF+/70H9sY2EQ3/gfMyc1KYQ07sZzYeOYuis57FobFliv5sXmAXIzM0ncFeMJGohTJQk6jokPfUyez9aSv7BgzjE5tD47hQ6Njfnb9c+xPr2Yti/VuCla1ruaxQtMGvo80II45NEbeLycnP47YfPOL/uAxxis+iZBRmWcPp2S1q4PUav6QsZU8rIuSztbXQklJKU29voqjNsIUQ1kkRtgrIzr7H3sxVkxoUxpGkMnvlXUWfbc6ZLY8wHDODuR1+hb4tWlXrthSN6FpujBtBZmLNQFpgVwmRJojYRuTnZ/LTuJa7+9AO3ncygawYktFWcvscTrfck3J8dTzOrql/rXDQPHbgrhvMpmXLVhxB1gCRqI0pPvUz8iVByf1vH96vm0uO4Rk4jOO3QiHN93fB59L/Y1sCdgn59OkhiFqIOkURdS/Lz8jh64FtOBX2NOnWSFuczaHdR0XxMMnfp8tjV3ZFjzh0ZNOcl3G673djhCiFMiCTqGpJ45gRh33xMo4J02mWf4dKZU3T4yYLeQHYj+NtO4w83K6LMhmLvMJBNF9qxcERP2t0mI10hRHGSqKtBfl4eMWHBRH39Duanz9L672zaJkM34KxXFq266rjS0YnI0fm07TeE/mMfJu5UOv+9flLv6cZ5cuOJEKJMkqgr4fjve4ne/QV5MdE00mUxqt15OhfkUPCdPdeawIV25lxwbInOuQ8e4x6hU3cXbrvpNQJ3hcmNJ0IIg5hMot4enkDgrhimdUpjaUBQrV2JUHTcsq6ASEtN5tyJUFJPHuTc9u3Yn8mhVRo4AXlmcNLZjCiXsZjfdgfmQ9vieed4g5aqkhtPhBCGMolEXaz+RKfaqz9xc92LxCupfP2/90he/wfNz8fTMjETDcXQIYmF7fPbc7G9BfG3taOV5yDuGPcwLpVcgVtuPBFCGMokEnVt1Z9IvXyB038c5mJsFBl/nyXu1Gn+k5mGZef2dDW/SMqxJG4/Xli8KLMxJLYzI61DC8IHvkAn18H4tetUbbHIjSdCCEOZRKKuyjRARloqqZf/JuPKRc7+cYDko7+Sf+Uy5mkZWGTk0CQjD3svRVeLFA7G6nD43ZKidFu0GqDFbQlkay2J6diO460sCbfuw+ev++NxC7dm36obbzyBNDrIjSdCiDKYRKK+eRqgkcqhU94ZHBsl8M3bu7Fq2ZqmWi4X4/4g70gsltfyaJpRQLNrYJ0JuaNTcG1+jXPnbXDZV1iU6FpjSG8G15pqJFl0ILvNQHJ1uRy1v4plm3ZYt+/KxycaEZndgUxlBTlAs8JHBxtdqZXnqlvRjSchISE8McOnxo8nhKibTCJRLxzRk8VbInn72iJs3shnRyaYqX+2Jw9Jx6vtVQ5faUFuYjOuNdVIbdmISx0tyLdqRsseY8nv6kYLiyZkzTDHwekOWrapeGSaFp5A5NYokOkHIYQJM4lEXfRxP+XLdqQ6JJHepAlmNi1obm9Ps3a30bmPDxk9PfGytqmR40rdCyGEKaswUWua1glYD9gBCvhIKbWqugPx69MB+uwlJCSEqT4+1f3y5R5XErMQwpQZMqLOA55WSh3RNM0aCNM0bY9SKrqGYxNCCAFUuAS1UipRKXXk+tdpwHFAhqBCCFFLNKVUxa2KGmuaA7AP6K2UunrTtjnAHAA7OzvPjRs3Viqg9PR0rKysKrVvXSV9rv8aWn9B+nyrfH19w5RSfUvdqJQy6AFYAWHAxIraenp6qsoKDg6u9L51lfS5/mto/VVK+nyrgFBVRk6tcOoDQNM0C2ALsEEptbVSfy6EEEJUSoWJWtM0DfgUOK6UerPmQxJCCHEjQ0bU3sBMYIimaRHXH6NrOC4hhBDXVXh5nlLqF0CrhViEEEKU4pau+jD4RTUtCThTyd1tgUvVGE5dIH2u/xpaf0H6fKs6K6XalLahRhJ1VWiaFqrKukSlnpI+138Nrb8gfa5OBl31IYQQwngkUQshhIkzxUT9kbEDMALpc/3X0PoL0udqY3Jz1EIIIYozxRG1EEKIG0iiFkIIE2e0RK1p2khN02I0TTuladriUrZbapq26fr2X69X7quzDOjvU5qmRWuadlTTtJ80TetsjDirU0V9vqHdJE3TlKZpdf5SLkP6rGnavdff6z80TfuitmOsbgb8bt+maVqwpmnh13+/6/SdzZqmrdE07aKmacfK2K5pmrb6+s/jqKZpHlU+aFnVmmryAZgDsUBXoDEQCTjd1GYe8MH1r6cBm4wRay321xdoev3rf9fl/hra5+vtrCksnXsY6GvsuGvhfb4dCAdaXv++rbHjroU+fwT8+/rXTkCcseOuYp8HAx7AsTK2jwZ+oPCObi/g16oe01gj6juAU0qpv5RSOcBG4J6b2twDrLv+9WZg6PUCUXVRhf1VSgUrpa5d//Yw0LGWY6xuhrzHAP8FXgOyajO4GmJInx8B3lNKXQFQSl2s5RirmyF9VkDz61+3AM7XYnzVTim1D7hcTpN7gPWq0GHARtM0+6oc01iJugMQf8P35yi5aoy+jVIqD0gFWtdKdNXPkP7e6CEK/yLXZRX2+fpHwk5Kqe9qM7AaZMj73APooWnaAU3TDmuaNrLWoqsZhvR5OXC/pmnngO+BJ2onNKO51f/vFTKJVcjFPzRNux/oC9xl7FhqkqZpZsCbwGwjh1LbGlE4/eFD4aemfZqmuSilUowZVA2bDqxVSr2hadoA4HNN03orpQqMHVhdYawRdQLQ6YbvO15/rtQ2mqY1ovAjU3KtRFf9DOkvmqbdDSwFxiulsmsptppSUZ+tgd5AiKZpcRTO5X1Tx08oGvI+nwO+UUrlKqVOA39SmLjrKkP6/BDwFYBS6hDQhMLiRfWVQf/fb4WxEvXvwO2apnXRNK0xhScLv7mpzTfArOtfTwaC1PWZ+jqowv5qmtYH+JDCJF3X5y2hgj4rpVKVUrZKKQellAOF8/LjlVKhxgm3Whjye72dwtE0mqbZUjgV8lctxljdDOnzWWAogKZpjhQm6qRajbJ2fQM8cP3qDy8gVSmVWKVXNOKZ09EUjiZigaXXn/On8D8rFL6ZXwOngN+ArsY+21vD/d0LXAAirj++MXbMNd3nm9qGUMev+jDwfdYonPKJBqKAacaOuRb67AQcoPCKkAhguLFjrmJ/vwQSgVwKPyE9BMwF5t7wHr93/ecRVR2/13ILuRBCmDi5M1EIIUycJGohhDBxkqiFEMLESaIWQggTJ4laCCFMnCRqIYQwcZKohRDCxP0/5zUzMkNVbe8AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] @@ -886,7 +886,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -894,21 +894,21 @@ "output_type": "stream", "text": [ "Beta values for own Ridge implementation\n", - "[ 1.03032441e+00 6.28336218e-02 -6.24175744e-01 5.21169160e-02\n", - " 2.80847477e-01 2.12552073e-01 8.13220609e-02 -1.69634577e-02\n", - " -6.50846112e-02 -7.38962193e-02 -5.94226022e-02 -3.50227564e-02\n", - " -9.80609616e-03 1.08299273e-02 2.41882037e-02 2.93492130e-02\n", - " 2.64742912e-02 1.63249532e-02 -5.01831271e-05 -2.15098090e-02]\n", + "[ 1.03032441e+00 6.28336218e-02 -6.24175744e-01 5.21169159e-02\n", + " 2.80847477e-01 2.12552073e-01 8.13220609e-02 -1.69634578e-02\n", + " -6.50846112e-02 -7.38962192e-02 -5.94226022e-02 -3.50227564e-02\n", + " -9.80609615e-03 1.08299273e-02 2.41882037e-02 2.93492130e-02\n", + " 2.64742912e-02 1.63249532e-02 -5.01831224e-05 -2.15098090e-02]\n", "Beta values for Scikit-Learn Ridge implementation\n", "[ 1.03032441e+00 6.28336218e-02 -6.24175744e-01 5.21169159e-02\n", " 2.80847477e-01 2.12552073e-01 8.13220609e-02 -1.69634577e-02\n", " -6.50846112e-02 -7.38962192e-02 -5.94226022e-02 -3.50227564e-02\n", - " -9.80609616e-03 1.08299273e-02 2.41882037e-02 2.93492130e-02\n", - " 2.64742912e-02 1.63249532e-02 -5.01831188e-05 -2.15098090e-02]\n", + " -9.80609615e-03 1.08299273e-02 2.41882037e-02 2.93492130e-02\n", + " 2.64742912e-02 1.63249532e-02 -5.01831185e-05 -2.15098090e-02]\n", "MSE values for own Ridge implementation\n", - "4.3632959224230663e-07\n", + "4.3632959128006053e-07\n", "MSE values for Scikit-Learn Ridge implementation\n", - "4.3632959170578395e-07\n", + "4.363295916429748e-07\n", "Beta values for own Ridge implementation\n", "[ 1.03630548 -0.01963611 -0.37900111 -0.07062318 0.12182967 0.16343471\n", " 0.13003291 0.07490892 0.02365049 -0.01449782 -0.03814292 -0.04909093\n", @@ -920,9 +920,9 @@ " -0.05009826 -0.04389027 -0.03279636 -0.01866537 -0.00289724 0.01348565\n", " 0.02976145 0.04543942]\n", "MSE values for own Ridge implementation\n", - "5.194042826527663e-06\n", + "5.1940428269262024e-06\n", "MSE values for Scikit-Learn Ridge implementation\n", - "5.194042826866047e-06\n", + "5.194042826836048e-06\n", "Beta values for own Ridge implementation\n", "[ 1.04220758 -0.10931453 -0.17641709 -0.06020587 0.02208512 0.05789007\n", " 0.06491736 0.05785343 0.04537385 0.03196357 0.01969145 0.00934499\n", @@ -934,9 +934,9 @@ " 0.00107405 -0.00526348 -0.00992331 -0.01318643 -0.01531845 -0.01655318\n", " -0.01708852 -0.01708781]\n", "MSE values for own Ridge implementation\n", - "2.094082198965824e-05\n", + "2.0940821989672366e-05\n", "MSE values for Scikit-Learn Ridge implementation\n", - "2.094082198964181e-05\n", + "2.0940821989628246e-05\n", "Beta values for own Ridge implementation\n", "[ 1.01219292 -0.06043581 -0.10391807 -0.05651951 -0.01898855 0.00312361\n", " 0.01463049 0.01975848 0.02123176 0.02068067 0.01905883 0.01691985\n", @@ -948,9 +948,9 @@ " 0.01458337 0.01223198 0.00996754 0.00784393 0.00588657 0.00410387\n", " 0.00249435 0.00105081]\n", "MSE values for own Ridge implementation\n", - "0.00031535148309585413\n", + "0.0003153514830958068\n", "MSE values for Scikit-Learn Ridge implementation\n", - "0.0003153514830958115\n", + "0.00031535148309580843\n", "Beta values for own Ridge implementation\n", "[ 8.38916861e-01 1.31276579e-01 8.97497404e-03 -1.72271878e-02\n", " -2.11744554e-02 -1.91492986e-02 -1.57201944e-02 -1.23002365e-02\n", @@ -964,9 +964,9 @@ " -1.84923989e-03 -8.13661243e-04 7.46984697e-06 6.56636616e-04\n", " 1.16805821e-03 1.56912044e-03 1.88168312e-03 2.12318726e-03]\n", "MSE values for own Ridge implementation\n", - "0.015072388895177091\n", + "0.015072388895177166\n", "MSE values for Scikit-Learn Ridge implementation\n", - "0.015072388895177109\n", + "0.015072388895177053\n", "Beta values for own Ridge implementation\n", "[0.37396662 0.14174745 0.0764924 0.04892055 0.03447512 0.02586427\n", " 0.02024962 0.01633913 0.01347916 0.0113104 0.0096208 0.00827728\n", @@ -978,14 +978,14 @@ " 0.00719176 0.00630331 0.00556826 0.0049544 0.00443743 0.0039987\n", " 0.0036237 0.003301 ]\n", "MSE values for own Ridge implementation\n", - "0.2640931530791004\n", + "0.26409315307910025\n", "MSE values for Scikit-Learn Ridge implementation\n", - "0.2640931530791002\n" + "0.26409315307910025\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -1078,7 +1078,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -1086,25 +1086,25 @@ "output_type": "stream", "text": [ "Beta values for own Ridge implementation\n", - "[ 3.43579948e-02 -5.43330971e-01 -3.10141413e-03 2.47116868e-01\n", - " 2.18613217e-01 1.02054837e-01 -4.25617655e-04 -5.90475506e-02\n", + "[ 3.43579948e-02 -5.43330971e-01 -3.10141414e-03 2.47116868e-01\n", + " 2.18613217e-01 1.02054837e-01 -4.25617659e-04 -5.90475506e-02\n", " -7.68534263e-02 -6.68929213e-02 -4.24906604e-02 -1.40927184e-02\n", " 1.11482289e-02 2.88529063e-02 3.67047975e-02 3.38135733e-02\n", " 2.02198702e-02 -3.46383925e-03 -3.63025821e-02]\n", "Beta values for Scikit-Learn Ridge implementation\n", "[ 3.43579948e-02 -5.43330971e-01 -3.10141413e-03 2.47116868e-01\n", - " 2.18613217e-01 1.02054837e-01 -4.25617648e-04 -5.90475506e-02\n", + " 2.18613217e-01 1.02054837e-01 -4.25617657e-04 -5.90475506e-02\n", " -7.68534263e-02 -6.68929213e-02 -4.24906604e-02 -1.40927184e-02\n", " 1.11482289e-02 2.88529063e-02 3.67047975e-02 3.38135733e-02\n", " 2.02198702e-02 -3.46383925e-03 -3.63025821e-02]\n", "Intercept from own implementation:\n", - "1.0330308045187284\n", + "1.033030804518907\n", "Intercept from Scikit-Learn Ridge implementation\n", - "1.0330308045183763\n", + "1.03303080451838\n", "MSE values for own Ridge implementation\n", - "3.1392559589438813e-06\n", + "3.139255959141931e-06\n", "MSE values for Scikit-Learn Ridge implementation\n", - "3.1392559585649594e-06\n", + "3.1392559585690806e-06\n", "Beta values for own Ridge implementation\n", "[-0.05807125 -0.29822833 -0.08551306 0.08156108 0.13679863 0.12333649\n", " 0.08251519 0.03815288 0.00111756 -0.02498832 -0.04010697 -0.04566964\n", @@ -1116,13 +1116,13 @@ " -0.04355837 -0.03562355 -0.02348765 -0.00848904 0.00831018 0.0260906\n", " 0.04423486]\n", "Intercept from own implementation:\n", - "1.041148729430573\n", + "1.0411487294305777\n", "Intercept from Scikit-Learn Ridge implementation\n", - "1.041148729430526\n", + "1.0411487294305242\n", "MSE values for own Ridge implementation\n", - "1.9601304850211e-05\n", + "1.9601304850224855e-05\n", "MSE values for Scikit-Learn Ridge implementation\n", - "1.960130485008338e-05\n", + "1.9601304850078175e-05\n", "Beta values for own Ridge implementation\n", "[-0.1416398 -0.14021063 -0.05383795 0.01367553 0.04784395 0.05796251\n", " 0.05447415 0.044613 0.03267527 0.02098261 0.01066519 0.00217499\n", @@ -1134,13 +1134,13 @@ " -0.00440346 -0.00917248 -0.01231917 -0.01405935 -0.0146081 -0.01416528\n", " -0.01290947]\n", "Intercept from own implementation:\n", - "1.0495569966278246\n", + "1.04955699662783\n", "Intercept from Scikit-Learn Ridge implementation\n", - "1.049556996627827\n", + "1.0495569966278266\n", "MSE values for own Ridge implementation\n", - "5.495916150935996e-05\n", + "5.495916150937975e-05\n", "MSE values for Scikit-Learn Ridge implementation\n", - "5.495916150936773e-05\n", + "5.495916150936546e-05\n", "Beta values for own Ridge implementation\n", "[-0.13535942 -0.08593216 -0.03568439 -0.0036367 0.01397146 0.02229529\n", " 0.02503753 0.0245528 0.02228115 0.01908936 0.01549377 0.01179792\n", @@ -1152,13 +1152,13 @@ " 0.00817631 0.00472512 0.00149311 -0.00149956 -0.00424967 -0.00676387\n", " -0.00905423]\n", "Intercept from own implementation:\n", - "1.0399676689527966\n", + "1.0399676689527961\n", "Intercept from Scikit-Learn Ridge implementation\n", "1.0399676689527975\n", "MSE values for own Ridge implementation\n", - "7.571105947979362e-05\n", + "7.571105947979378e-05\n", "MSE values for Scikit-Learn Ridge implementation\n", - "7.57110594797938e-05\n", + "7.571105947979412e-05\n", "Beta values for own Ridge implementation\n", "[-0.05100875 -0.04063602 -0.02723445 -0.01713366 -0.0100706 -0.00517114\n", " -0.00174276 0.00068734 0.00243186 0.00369758 0.00462287 0.0053018\n", @@ -1174,9 +1174,9 @@ "Intercept from Scikit-Learn Ridge implementation\n", "0.999955585168597\n", "MSE values for own Ridge implementation\n", - "0.0007698473260556343\n", + "0.0007698473260556331\n", "MSE values for Scikit-Learn Ridge implementation\n", - "0.0007698473260556316\n", + "0.0007698473260556325\n", "Beta values for own Ridge implementation\n", "[-0.00834567 -0.00803064 -0.00673407 -0.00554552 -0.00458878 -0.0038335\n", " -0.00323332 -0.00274989 -0.0023548 -0.00202756 -0.00175331 -0.00152117\n", @@ -1194,12 +1194,12 @@ "MSE values for own Ridge implementation\n", "0.0023813163025848865\n", "MSE values for Scikit-Learn Ridge implementation\n", - "0.002381316302584885\n" + "0.002381316302584886\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -2292,7 +2292,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -2427,7 +2427,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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\n", + "image/png": 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\n", 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\n", 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AlnBlN8CeCHIAlnBlN8CeCHIAlhhc2Q2wJYIcgCUGi90AWyLIAVhijsiDWwaAbyHIAVjyzTlyohywE4IcgCVMrQP2RJADsITFboA9EeQALDFH5EGuA0BHBDmAC8KAHLAXghyAJWeutc6YHLAXghyANf+f4z3IccBWCHIAlrSf+YEgB2yFIAdgDTdNAWyJIAdgCVd2A+yJIAdgSTsjcsCWCHIAF4QcB+yFIAdgSTtXdgNsKbwrXqSwsFDbtm2Tx+ORy+VSVlZWh/3z58/XkSNHzO0DBw5o3bp1GjRokMaPH6+BAwdKkvr166clS5Z0RUkAuhrXWgdsyecgb25uVk5OjjZv3iy3263s7GwVFRUpPT3dPOa6667TTTfdJEnyer2aO3euBg0aJEnKzMxUdna2r2UA8DMWuwH25PPU+t69e5WYmCi32y1JSktLU0FBQYdjzoS4JL3++uuaPHmyub1r1y6tXr1ay5YtU0lJia/lAPATbmMK2JPPI/Lq6mpFR0eb2zExMaqurv7OY9vb2/Xee+/p7rvvNh+bPXu2UlNT1dzcrMzMTD333HO65JJLzvuecXFRCg8P87X0gEpI6BXsEroF+uw/DS2nLwkTFeWmz35GfwMjVPrsc5B7PB41Njaa216vVx6P5zuPffvtt5WRkdHhE31qaqokKTIyUkOHDlVJSUmnQV5b2+Rr2QGVkNBLlZUNwS4j5NFn/6qpOf3f+YnmVvrsR/wdB4bT+ny+Dx0+T62PGDFCFRUVamlpkSSVlJQoIyNDdXV18nq9HY7dsGGDMjMzze2ioiLt2LHD3C4vL1dSUpKvJQHwA0MsdgPsyOcReWRkpBYsWKBFixYpLi5OKSkpSk9PV15enmJjYzVjxgxJUmlpqZKTkztMw8fHx2vFihX6+OOPdezYMd1www0aNWqUryUB8ANzsRtBDtiKyzDMexM6hpOmQyTnTeE4FX32r88rjmvRC7t04+hk3T7+smCXE7L4Ow4Mp/XZr1PrALoHptYBeyLIAVhizt0R5ICtEOQArPn/IO/BkBywFYIcgCXtzltOA3QLBDmAC8KV3QB7IcgBWHLmCy7EOGAvBDkAS/geOWBPBDkAS86MyFnsBtgLQQ7AkvYzP5DjgK0Q5ACsMafWSXLATghyAJaw2A2wJ4IcgCXmhd1IcsBWCHIAlpgjcpIcsBWCHIAlfP0MsCeCHIAlZpBzlhywFYIcgCXcxhSwJ4IcgCXfjMgB2AlBDsASg++RA7ZEkAOwxGBIDtgSQQ7ggnCtdcBeCHIAlrSfGZEDsBWCHMAF6cGAHLAVghyAJe1c2Q2wJYIcgDXmxdaDWgWAbyHIAVhy5hQ5i90AeyHIAVjCYjfAnghyABeEATlgLwQ5AEvMxW6cJAdshSAHYA23MQVsKbwrXqSwsFDbtm2Tx+ORy+VSVlZWh/3r16/Xn/70J0VEREiSJk+erJ/85CeSpPz8fJWWlqpHjx5KTk7WlClTuqIkAF3MXLROkAO24nOQNzc3KycnR5s3b5bb7VZ2draKioqUnp7e4bilS5dq0KBBHR47evSo/vCHP2jjxo1yuVyaPHmyrrnmGg0ePNjXsgB0MYPvkQO25PPU+t69e5WYmCi32y1JSktLU0FBwVnHvfTSS1qzZo1WrFihuro6SdK7776rYcOGmf8wjBw5Ujt27PC1JAB+wD1TAHvyeUReXV2t6OhoczsmJkbV1dUdjvnhD3+ojIwMxcfHa/v27XrooYf0/PPPq6ampsNzo6Ojz3rud4mLi1J4eJivpQdUQkKvYJfQLdBn/4mJOX1qrE+fSPrsZ/Q3MEKlzz4HucfjUWNjo7nt9Xrl8Xg6HJOUlGT+fM0112jmzJk6deqU4uPjVV5ebu5rbGxUcnJyp+9ZW9vka9kBlZDQS5WVDcEuI+TRZ/863nBCktTQcII++xF/x4HhtD6f70OHz1PrI0aMUEVFhVpaWiRJJSUlysjIUF1dnbxeryRpyZIlamtrkyQdOnRIAwcOVFhYmK6//np99NFH5rm3PXv2aMyYMb6WBMAPzKl1zpEDtuLziDwyMlILFizQokWLFBcXp5SUFKWnpysvL0+xsbGaMWOG+vbtqwULFmjQoEE6cOCAnnrqKUnSgAEDNG3aNC1evFhhYWG67bbbWOgG2JS52C3IdQDoyGUYzrvuopOmQyTnTeE4FX32rzd2HdErb36iBzKH659S+gW7nJDF33FgOK3Pfp1aB9A9MLUO2BNBDsAaptYBWyLIAVjSzogcsCWCHMCFIccBWyHIAVhyZl1sD4IcsBWCHIAl33y9hSQH7IQgB2AJI3LAnghyAJa0m/cxDWoZAL6FIAdgDbcxBWyJIAdgCbcxBeyJIAdgiTmzzogcsBWCHIAl3DQFsCeCHIAl31xrPbh1AOiIIAdgiSEWuwF2RJADsIQROWBPBDkAS7iNKWBPBDkAS8yp9SDXAaAjghyAJYzIAXsiyAFYwzlywJYIcgCWtJuXaA1yIQA6IMgBXBAXZ8kBWyHIAVjCiBywJ4IcgDVG54cACDyCHIAlZ1at92BIDtgKQQ7AEkPcxxSwI4IcgCV8jxywJ4IcgCXcxhSwJ4IcgCVn1roxIAfshSAHYMmZETmL3QB7IcgBWGKYQ/KglgHgW8K74kUKCwu1bds2eTweuVwuZWVlddi/atUqVVVVKSEhQfv27dODDz6oIUOGSJLGjx+vgQMHSpL69eunJUuWdEVJALoYi90Ae/I5yJubm5WTk6PNmzfL7XYrOztbRUVFSk9PN49pamrSvHnz5HK5tGXLFj311FNauXKlJCkzM1PZ2dm+lgHAz7iNKWBPPk+t7927V4mJiXK73ZKktLQ0FRQUdDjm3//9381P8e3t7YqKijL37dq1S6tXr9ayZctUUlLiazkA/MTg7meALfk8Iq+urlZ0dLS5HRMTo+rq6u88tqWlRRs2bFBOTo752OzZs5Wamqrm5mZlZmbqueee0yWXXHLe94yLi1J4eJivpQdUQkKvYJfQLdBn/4mIOP3PhccTo4S4qE6Ohi/4Ow6MUOmzz0Hu8XjU2Nhobnu9Xnk8nrOOa2lp0YIFC/SrX/1KycnJ5uOpqamSpMjISA0dOlQlJSWdBnltbZOvZQdUQkIvVVY2BLuMkEef/av5RKskqbamUa62U0GuJnTxdxwYTuvz+T50+Dy1PmLECFVUVKilpUWSVFJSooyMDNXV1cnr9Ur65jz6vffeq+HDh2vr1q2SpKKiIu3YscN8rfLyciUlJflaEgB/YLEbYEs+j8gjIyO1YMECLVq0SHFxcUpJSVF6erry8vIUGxurGTNm6Ne//rU++eQTffHFF5JOL36bNGmS4uPjtWLFCn388cc6duyYbrjhBo0aNcrnXwpA1+M2poA9uQzDcNzNCZ00HSI5bwrHqeizf63M36cPSo/pN1nXqk9MRLDLCVn8HQeG0/rs16l1AN1DO1PrgC0R5ACsMbiNKWBHBDkAS87kONdaB+yFIAdgieMW0wDdBEEOwJJv7n4W5EIAdECQA7CEm6YA9kSQA7DEgd9UBboFghyAJWdinMVugL0Q5AAsMQfk5DhgKwQ5AEtY7AbYE0EOwJJvzpCT5ICdEOQALDG4aQpgSwQ5AEu++fpZcOsA0BFBDsCSb0bkJDlgJwQ5gAtCjAP2QpADsITbmAL2RJADsMYwOD8O2BBBDsCSdjEaB+yIIAdgjcH5ccCOCHIAlhiGwYgcsCGCHIAlhrg8K2BHBDkASwzD4GowgA0R5AAsMQxG5IAdEeQALGFADtgTQQ7AEha7AfZEkAOwxBBfPwPsiCAHYAkjcsCeCHIAlhjiHDlgRwQ5AEtOL3YjyQG7Ce+KFyksLNS2bdvk8XjkcrmUlZXVYf/JkyeVm5ur/v3769ChQ5oxY4YuvfRSSVJ+fr5KS0vVo0cPJScna8qUKV1REoAuZnDTFMCWfA7y5uZm5eTkaPPmzXK73crOzlZRUZHS09PNY55//nldfPHF+sUvfqGysjI98sgjevnll3X06FH94Q9/0MaNG+VyuTR58mRdc801Gjx4sK9lAehijMgBe/I5yPfu3avExES53W5JUlpamgoKCjoEeUFBgWbNmiVJSklJ0f79++X1evXuu+9q2LBh5j8OI0eO1I4dOzoN8sfWFPtadkCFh4epre1UsMsIefTZv6rqm9Uryh3sMgB8i89BXl1drejoaHM7JiZG1dXVlo6pqanp8Hh0dPRZz/0udd4WX8sGcIEucodr1ND+SkjoFexSQh49DoxQ6bPPQe7xeNTY2Ghue71eeTweS8fEx8ervLzcfLyxsVHJycmdvufyh673teyASkjopcrKhmCXEfLos//RY/+jx4HhtD6f70OHz6vWR4wYoYqKCrW0nB4ll5SUKCMjQ3V1dfJ6vZKkjIwM7dmzR5JUVlamH/zgB4qJidH111+vjz766PTNGCTt2bNHY8aM8bUkAAC6DZdxJkV98P7772vr1q2Ki4tTz549lZWVpby8PMXGxmrGjBk6ceKEcnNzlZCQoMOHD+uXv/xlh1Xr+/btU1hYmAYPHmxp1bqTPkVJzvvk51T02f/osf/R48BwWp/PNyLvkiAPNCc1X3LeH4xT0Wf/o8f+R48Dw2l99uvUOgAACB6CHAAAByPIAQBwMIIcAAAHI8gBAHAwghwAAAcjyAEAcDCCHAAAByPIAQBwMIIcAAAHI8gBAHAwghwAAAcjyAEAcDCCHAAAByPIAQBwMIIcAAAHI8gBAHAwghwAAAcjyAEAcDCCHAAAByPIAQBwMIIcAAAHI8gBAHAwghwAAAcjyAEAcDCCHAAAByPIAQBwMIIcAAAHI8gBAHCwcF+eXFdXpyVLligpKUmHDh3SrFmz1Ldv3w7HfPjhh3r++ed1xRVX6ODBg0pNTdXtt98uSXrsscd08OBB89hHH31UKSkpvpQEAEC34lOQL126VOnp6brpppv09ttvKzc3V0899VSHYyorK3X33XcrNTVVra2t+tGPfqSJEycqPj5eCQkJWrhwoU+/AAAA3ZlPQb59+3bNnDlTkpSWlqa5c+eedcyECRM6bIeFhalnz56SpMbGRv3ud79TWFiYoqKiNGXKFIWH+1QSAADdisswDON8B9x3332qqqo66/EHH3xQDz30kAoLC9W7d2+1tbVp2LBh+uijj84ZxmvXrpUk3XPPPZKkjz76SCkpKQoPD1deXp6io6P1wAMPdFp0W9sphYeHdXocAAChrtPh75o1a865z+PxqLGxUb1795bX61WfPn3OGeKbNm1SU1OT7r//fvOxYcOGmT9fc801Wr16taUgr61t6vQYO0lI6KXKyoZglxHy6LP/0WP/o8eB4bQ+JyT0Ouc+n1atjx07Vnv27JEklZSUaOzYsZKk9vZ2VVRUmMe99tprqq6u1v3336+ysjJzgVtubq55THl5uZKTk30pBwCAbsenE9KzZs3S008/rUOHDunIkSOaM2eOJKmsrEwPP/ywNm3apDfffFNPPvmkrrjiCr311luqq6vTo48+qksvvVR1dXV6+umnddFFF+ngwYOaN29el/xSAAB0F52eI7cjJ02HSM6bwnEq+ux/9Nj/6HFgOK3PfptaBwAAwUWQAwDgYAQ5AAAORpADAOBgBDkAAA5GkAMA4GAEOQAADkaQAwDgYAQ5AAAORpADAOBgBDkAAA5GkAMA4GAEOQAADkaQAwDgYAQ5AAAORpADAOBgBDkAAA5GkAMA4GAEOQAADkaQAwDgYAQ5AAAORpADAOBgBDkAAA5GkAMA4GAEOQAADkaQAwDgYAQ5AAAORpADAOBgBDkAAA5GkAMA4GDhvjy5rq5OS5YsUVJSkg4dOqRZs2apb9++Zx03fvx4DRw4UJLUr18/LVmyRJL0xRdf6Nlnn9Ull1yiL7/8UnPmzFF0dLQvJQEA0K34NCJfunSp0tPTNWPGDE2cOFG5ubnfeVxmZqZefPFFvfjii2aIS1JOTo6mTJmiX/7yl7r88su1evVqX8oBAKDb8SnIt2/frpEjR0qS0tLStH379u88bteuXVq9erWWLVumkpISSVJra6uKi4t15ZVXdvp8AADw3TqdWr/vvvtUVVV11uMPPvigqqurzanwmJgY1dfXq62tTeHhHV929uzZSk1NVXNzszIzM/Xcc88pMjJSF110kVwul/n86upqS0UnJPSydJydOLFmJ6LP/keP/Y8eB0ao9LnTIF+zZs0593k8HjU2Nqp3797yer3q06fPWSEuSampqZKkyMhIDR06VCUlJbr55pt14sQJGYYhl8slr9crj8fjw68CAED349PU+tixY7Vnzx5JUklJicaOHStJam9vV0VFhSSpqKhIO3bsMJ9TXl6upKQk9ezZU1dffbX+9re/nfV8AABgjcswDOMffXJdXZ2efvppJSYm6siRI5o9e7b69u2r0tJSPfzww9q0aZPKysq0YsUKDRs2TMeOHVO/fv30b//2b5JOr1p/5plnlJSUpK+++kpz585l1ToAABfApyAHAADBxQVhAABwMIIcAAAH8+nKbrhwv/vd77R27VoVFxcHu5SQs3jxYkVGRioqKkr79+/X/PnzlZCQEOyyQkJhYaG2bdsmj8cjl8ulrKysYJcUcg4fPqxly5bpiiuu0NGjRxUbG0uf/eTEiRO67bbbdN1112nOnDnBLsdnBHkAFRcXq76+PthlhKzIyEj96le/kiStWrVKK1eu1H/+538GuSrna25uVk5OjjZv3iy3263s7GwVFRUpPT092KWFlLq6Ot10002aOHGiJOmmm25SRkaGhg8fHuTKQs+ZD0yhgqn1AKmqqtKWLVs0derUYJcSss6EuCQZhqGoqKggVhM69u7dq8TERLndbkmnr8JYUFAQ3KJCUGpqqhni0umv8UZGRgaxotC0ceNGpaWladCgQcEupcswIu9C57sK3ltvvaU5c+aooaEhCJWFjvP1eMKECZKk48eP67333tNvf/vbQJcXkv7+Co7ShV2FEf+YN954Q9ddd52GDBkS7FJCyqeffqrPP/9cs2bNUllZWbDL6TIEeRc611Xw/va3vyk8PFyvvvqq6uvrdfLkSa1atUo33HCDBg8eHNgiHe58VxqUpIaGBj3++ONavHixYmNjA1NUiDtzBcczuAqjf/3lL39RcXGx5s+fH+xSQs4bb7wht9utVatWaffu3WptbdXatWt1zz33BLs0nxDkAXDllVeaN4f54osv9Prrr2vGjBlBrir01NTUaPHixXr44YfVv39/bd26VZMmTQp2WY43YsQIVVRUqKWlRW63WyUlJbrjjjuCXVZIKigo0K5du/TII4/o2LFjqqioMG9MBd/NnDnT/PnkyZNqampyfIhLXBAmoMrLy/WnP/1Jr7zyimbMmKF77rmH87hdKDMzU21tbeZIPDo6WitXrgxuUSHi/fff19atWxUXF6eePXuymtoP9u3bp7vuustc3NbU1KQ777xTP/3pT4NcWejZunWrXnrpJbW2turOO+/UzTffHOySfEKQAwDgYKxaBwDAwQhyAAAcjCAHAMDBCHIAAByMIAcAwMEIcgAAHIwgBwDAwbiyG4BOrV+/Xm+99Zb69++v+vp6bdmyRfn5+fr+978f7NKAbo8LwgDo1J49exQbG6tLL71U2dnZSk5O1q9//etglwVABDmAC/Daa6/p5Zdf1quvvmre1hRAcDG1DsCSgwcPasmSJXrppZcIccBGWOwGoFOtra2aPXu2srOzNWTIEH322WfatWtXsMsCIEbkACxYu3atPvvsM3322WdauHChvv76a02YMEGjRo0KdmlAt8c5cgAAHIypdQAAHIwgBwDAwQhyAAAcjCAHAMDBCHIAAByMIAcAwMEIcgAAHIwgBwDAwf4PI7ucjeDSrdsAAAAASUVORK5CYII=\n", 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\n", 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\n", 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" ] @@ -3049,9 +3049,34 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(426, 30)\n", + "(143, 30)\n", + "Test set accuracy with Logistic Regression: 0.96\n", + "Test set accuracy Logistic Regression with scaled data: 0.96\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/homebrew/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:814: ConvergenceWarning: lbfgs failed to converge (status=1):\n", + "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", + "\n", + "Increase the number of iterations (max_iter) or scale the data as shown in:\n", + " https://scikit-learn.org/stable/modules/preprocessing.html\n", + "Please also refer to the documentation for alternative solver options:\n", + " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", + " n_iter_i = _check_optimize_result(\n" + ] + } + ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", @@ -3092,12 +3117,12 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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\n", 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\n", 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" ] @@ -3215,7 +3240,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -3224,7 +3249,7 @@ "text": [ "(426, 30)\n", "(143, 30)\n", - "Test set accuracy with Logistic Regression: 0.94\n", + "Test set accuracy with Logistic Regression: 0.96\n", "Test set accuracy Logistic Regression with scaled data: 0.96\n", "[1. 1. 1. 1. 1. 1.\n", " 1. 1. 0.92857143 0.92857143]\n", @@ -3235,7 +3260,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/mhjensen/Software/anaconda3/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:763: ConvergenceWarning: lbfgs failed to converge (status=1):\n", + "/opt/homebrew/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:814: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", @@ -3246,15 +3271,34 @@ ] }, { - "ename": "ModuleNotFoundError", - "evalue": "No module named 'scikitplot'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 34\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 35\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 36\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mscikitplot\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mskplt\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 37\u001b[0m \u001b[0my_pred\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlogreg\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpredict\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX_test_scaled\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 38\u001b[0m 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\n", 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\n", 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -3742,7 +3786,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -3756,7 +3800,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.8" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/doc/pub/week39/ipynb/week39.ipynb b/doc/pub/week39/ipynb/week39.ipynb index 5bf0c2358..c54de9dd4 100644 --- a/doc/pub/week39/ipynb/week39.ipynb +++ b/doc/pub/week39/ipynb/week39.ipynb @@ -3,9 +3,7 @@ { "cell_type": "markdown", "id": "27989178", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", @@ -15,9 +13,7 @@ { "cell_type": "markdown", "id": "1deb5178", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "# Week 39: Optimization and Gradient Methods\n", "**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University\n", @@ -30,9 +26,7 @@ { "cell_type": "markdown", "id": "59210b98", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Plan for week 39\n", "\n", @@ -56,9 +50,7 @@ { "cell_type": "markdown", "id": "b70375c6", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Thursday September 30\n", "\n", @@ -68,9 +60,7 @@ { "cell_type": "markdown", "id": "83e12c9e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Searching for Optimal Regularization Parameters $\\lambda$\n", "\n", @@ -87,11 +77,21 @@ "cell_type": "code", "execution_count": 1, "id": "8cc00952", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "%matplotlib inline\n", "\n", @@ -144,9 +144,7 @@ { "cell_type": "markdown", "id": "c2e91e0f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Here we have performed a rather data greedy calculation as function of the regularization parameter $\\lambda$. There is no resampling here. The latter can easily be added by employing the function **RidgeCV** instead of just calling the **Ridge** function. For **RidgeCV** we need to pass the array of $\\lambda$ values.\n", "By inspecting the figure we can in turn determine which is the optimal regularization parameter.\n", @@ -156,9 +154,7 @@ { "cell_type": "markdown", "id": "3469cb13", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Grid Search\n", "\n", @@ -171,11 +167,22 @@ "cell_type": "code", "execution_count": 2, "id": "183fbef5", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "GridSearchCV(estimator=Ridge(),\n", + " param_grid={'alpha': array([1.00000000e-04, 4.64158883e-04, 2.15443469e-03, 1.00000000e-02,\n", + " 4.64158883e-02, 2.15443469e-01, 1.00000000e+00, 4.64158883e+00,\n", + " 2.15443469e+01, 1.00000000e+02])})\n", + "Best estimated lambda-value: 100.0\n", + "MSE score: 1.0892144853354966\n", + "R2 score: -0.0038332550504751595\n" + ] + } + ], "source": [ "import numpy as np\n", "from sklearn.model_selection import train_test_split\n", @@ -224,9 +231,7 @@ { "cell_type": "markdown", "id": "fbd82e6a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "By default the grid search function includes cross validation with\n", "five folds. The [Scikit-Learn\n", @@ -239,9 +244,7 @@ { "cell_type": "markdown", "id": "d90912a2", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Randomized Grid Search\n", "\n", @@ -259,11 +262,20 @@ "cell_type": "code", "execution_count": 3, "id": "031a0009", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "RandomizedSearchCV(estimator=Ridge(), n_iter=100,\n", + " param_distributions={'alpha': })\n", + "Best estimated lambda-value: 0.9849967686928113\n", + "MSE score: 1.0853136633465323\n", + "R2 score: -0.00023821028447734705\n" + ] + } + ], "source": [ "import numpy as np\n", "from sklearn.model_selection import train_test_split\n", @@ -313,9 +325,7 @@ { "cell_type": "markdown", "id": "2dae05d8", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Optimization, the central part of any Machine Learning algortithm\n", "\n", @@ -332,9 +342,7 @@ { "cell_type": "markdown", "id": "dde56423", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Revisiting our Logistic Regression case\n", "\n", @@ -349,9 +357,7 @@ { "cell_type": "markdown", "id": "287dd911", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{align*}\n", @@ -364,9 +370,7 @@ { "cell_type": "markdown", "id": "3e95f118", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $\\boldsymbol{\\beta}$ are the weights we wish to extract from data, in our case $\\beta_0$ and $\\beta_1$." ] @@ -374,9 +378,7 @@ { "cell_type": "markdown", "id": "50bacdb9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The equations to solve\n", "\n", @@ -390,9 +392,7 @@ { "cell_type": "markdown", "id": "331fc9ec", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\frac{\\partial \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}} = -\\boldsymbol{X}^T\\left(\\boldsymbol{y}-\\boldsymbol{p}\\right).\n", @@ -402,9 +402,7 @@ { "cell_type": "markdown", "id": "dab31d07", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "If we in addition define a diagonal matrix $\\boldsymbol{W}$ with elements \n", "$p(y_i\\vert x_i,\\boldsymbol{\\beta})(1-p(y_i\\vert x_i,\\boldsymbol{\\beta})$, we can obtain a compact expression of the second derivative as" @@ -413,9 +411,7 @@ { "cell_type": "markdown", "id": "d235b146", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\frac{\\partial^2 \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}\\partial \\boldsymbol{\\beta}^T} = \\boldsymbol{X}^T\\boldsymbol{W}\\boldsymbol{X}.\n", @@ -425,9 +421,7 @@ { "cell_type": "markdown", "id": "077d1780", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "This defines what is called the Hessian matrix." ] @@ -435,9 +429,7 @@ { "cell_type": "markdown", "id": "2ef1828a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Solving using Newton-Raphson's method\n", "\n", @@ -449,9 +441,7 @@ { "cell_type": "markdown", "id": "ab007df8", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{\\beta}^{\\mathrm{new}} = \\boldsymbol{\\beta}^{\\mathrm{old}}-\\left(\\frac{\\partial^2 \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}\\partial \\boldsymbol{\\beta}^T}\\right)^{-1}_{\\boldsymbol{\\beta}^{\\mathrm{old}}}\\times \\left(\\frac{\\partial \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}}\\right)_{\\boldsymbol{\\beta}^{\\mathrm{old}}},\n", @@ -461,9 +451,7 @@ { "cell_type": "markdown", "id": "a2232f70", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "or in matrix form as" ] @@ -471,9 +459,7 @@ { "cell_type": "markdown", "id": "2550c2f0", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{\\beta}^{\\mathrm{new}} = \\boldsymbol{\\beta}^{\\mathrm{old}}-\\left(\\boldsymbol{X}^T\\boldsymbol{W}\\boldsymbol{X} \\right)^{-1}\\times \\left(-\\boldsymbol{X}^T(\\boldsymbol{y}-\\boldsymbol{p}) \\right)_{\\boldsymbol{\\beta}^{\\mathrm{old}}}.\n", @@ -483,9 +469,7 @@ { "cell_type": "markdown", "id": "0743917a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "The right-hand side is computed with the old values of $\\beta$. \n", "\n", @@ -495,9 +479,7 @@ { "cell_type": "markdown", "id": "8e14cb5e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Brief reminder on Newton-Raphson's method\n", "\n", @@ -515,9 +497,7 @@ { "cell_type": "markdown", "id": "74a0765f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The equations\n", "\n", @@ -531,9 +511,7 @@ { "cell_type": "markdown", "id": "a322bd0e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -547,9 +525,7 @@ { "cell_type": "markdown", "id": "c2a5bad6", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "For small enough values of the function and for well-behaved\n", "functions, the terms beyond linear are unimportant, hence we obtain" @@ -558,9 +534,7 @@ { "cell_type": "markdown", "id": "ad427199", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "f(x)+(s-x)f'(x)\\approx 0,\n", @@ -570,9 +544,7 @@ { "cell_type": "markdown", "id": "ee10e015", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "yielding" ] @@ -580,9 +552,7 @@ { "cell_type": "markdown", "id": "724d2e8a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "s\\approx x-\\frac{f(x)}{f'(x)}.\n", @@ -592,9 +562,7 @@ { "cell_type": "markdown", "id": "d5873493", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Having in mind an iterative procedure, it is natural to start iterating with" ] @@ -602,9 +570,7 @@ { "cell_type": "markdown", "id": "d880bf0b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "x_{n+1}=x_n-\\frac{f(x_n)}{f'(x_n)}.\n", @@ -614,9 +580,7 @@ { "cell_type": "markdown", "id": "15aece47", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Simple geometric interpretation\n", "\n", @@ -636,9 +600,7 @@ { "cell_type": "markdown", "id": "fc3d79af", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Extending to more than one variable\n", "\n", @@ -649,9 +611,7 @@ { "cell_type": "markdown", "id": "e357107f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{array}{cc} f_1(x_1,x_2) &=0\\\\\n", @@ -662,9 +622,7 @@ { "cell_type": "markdown", "id": "34b27705", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "which we Taylor expand to obtain" ] @@ -672,9 +630,7 @@ { "cell_type": "markdown", "id": "7d0e5513", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{array}{cc} 0=f_1(x_1+h_1,x_2+h_2)=&f_1(x_1,x_2)+h_1\n", @@ -690,9 +646,7 @@ { "cell_type": "markdown", "id": "b622ab6c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Defining the Jacobian matrix ${\\bf \\boldsymbol{J}}$ we have" ] @@ -700,9 +654,7 @@ { "cell_type": "markdown", "id": "eff30163", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "{\\bf \\boldsymbol{J}}=\\left( \\begin{array}{cc}\n", @@ -715,9 +667,7 @@ { "cell_type": "markdown", "id": "25b8eae6", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "we can rephrase Newton's method as" ] @@ -725,9 +675,7 @@ { "cell_type": "markdown", "id": "fb33d901", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\left(\\begin{array}{c} x_1^{n+1} \\\\ x_2^{n+1} \\end{array} \\right)=\n", @@ -739,9 +687,7 @@ { "cell_type": "markdown", "id": "56d2b104", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where we have defined" ] @@ -749,9 +695,7 @@ { "cell_type": "markdown", "id": "3d27ac93", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\left(\\begin{array}{c} h_1^{n} \\\\ h_2^{n} \\end{array} \\right)=\n", @@ -763,9 +707,7 @@ { "cell_type": "markdown", "id": "21070210", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "We need thus to compute the inverse of the Jacobian matrix and it\n", "is to understand that difficulties may\n", @@ -778,9 +720,7 @@ { "cell_type": "markdown", "id": "e9a8d5ab", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Steepest descent\n", "\n", @@ -795,9 +735,7 @@ { "cell_type": "markdown", "id": "301ef6ac", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\mathbf{x}_{k+1} = \\mathbf{x}_k - \\gamma_k \\nabla F(\\mathbf{x}_k),\n", @@ -807,9 +745,7 @@ { "cell_type": "markdown", "id": "9ac00842", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "with $\\gamma_k > 0$.\n", "\n", @@ -821,9 +757,7 @@ { "cell_type": "markdown", "id": "f07f5084", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## More on Steepest descent\n", "\n", @@ -836,9 +770,7 @@ { "cell_type": "markdown", "id": "194ec701", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\mathbf{x}_{k+1} = \\mathbf{x}_k - \\gamma_k \\nabla F(\\mathbf{x}_k), \\ \\ k \\geq 0.\n", @@ -848,9 +780,7 @@ { "cell_type": "markdown", "id": "33b8042a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "The parameter $\\gamma_k$ is often referred to as the step length or\n", "the learning rate within the context of Machine Learning." @@ -859,9 +789,7 @@ { "cell_type": "markdown", "id": "cfe687c2", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The ideal\n", "\n", @@ -887,9 +815,7 @@ { "cell_type": "markdown", "id": "8b49c45b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The sensitiveness of the gradient descent\n", "\n", @@ -909,9 +835,7 @@ { "cell_type": "markdown", "id": "d0472c94", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Convex functions\n", "\n", @@ -931,9 +855,7 @@ { "cell_type": "markdown", "id": "38efa238", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Convex function\n", "\n", @@ -943,9 +865,7 @@ { "cell_type": "markdown", "id": "ba410ba0", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Conditions on convex functions\n", "\n", @@ -980,9 +900,7 @@ { "cell_type": "markdown", "id": "4f3b7299", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## More on convex functions\n", "\n", @@ -1008,9 +926,7 @@ { "cell_type": "markdown", "id": "023159dc", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Some simple problems\n", "\n", @@ -1038,9 +954,7 @@ { "cell_type": "markdown", "id": "e09d96ad", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Standard steepest descent\n", "\n", @@ -1058,9 +972,7 @@ { "cell_type": "markdown", "id": "0c736f59", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{A}\\boldsymbol{x} = \\boldsymbol{b}.\n", @@ -1070,9 +982,7 @@ { "cell_type": "markdown", "id": "bbc1eae2", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "In the iterative process we end up with a problem like" ] @@ -1080,9 +990,7 @@ { "cell_type": "markdown", "id": "b8e12b0e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{r}= \\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x},\n", @@ -1092,9 +1000,7 @@ { "cell_type": "markdown", "id": "7776d4c5", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $\\boldsymbol{r}$ is the so-called residual or error in the iterative process.\n", "\n", @@ -1104,9 +1010,7 @@ { "cell_type": "markdown", "id": "cc2b2591", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Gradient method\n", "\n", @@ -1116,9 +1020,7 @@ { "cell_type": "markdown", "id": "30813f54", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "P(\\boldsymbol{x})=\\frac{1}{2}\\boldsymbol{x}^T\\boldsymbol{A}\\boldsymbol{x} - \\boldsymbol{x}^T\\boldsymbol{b},\n", @@ -1128,9 +1030,7 @@ { "cell_type": "markdown", "id": "b9f2a68a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "with the constraint that the matrix $\\boldsymbol{A}$ is positive definite and\n", "symmetric. This defines also the Hessian and we want it to be positive definite." @@ -1139,9 +1039,7 @@ { "cell_type": "markdown", "id": "dc4f825d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Steepest descent method\n", "\n", @@ -1152,9 +1050,7 @@ { "cell_type": "markdown", "id": "9b6412ee", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{x}_0=0,\n", @@ -1164,9 +1060,7 @@ { "cell_type": "markdown", "id": "8034df75", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "or consider the system" ] @@ -1174,9 +1068,7 @@ { "cell_type": "markdown", "id": "ec6b3f52", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{A}\\boldsymbol{z} = \\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_0,\n", @@ -1186,9 +1078,7 @@ { "cell_type": "markdown", "id": "97eab53d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "instead." ] @@ -1196,9 +1086,7 @@ { "cell_type": "markdown", "id": "294bafec", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Steepest descent method\n", "One can show that the solution $\\boldsymbol{x}$ is also the unique minimizer of the quadratic form" @@ -1207,9 +1095,7 @@ { "cell_type": "markdown", "id": "b614fd3a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "f(\\boldsymbol{x}) = \\frac{1}{2}\\boldsymbol{x}^T\\boldsymbol{A}\\boldsymbol{x} - \\boldsymbol{x}^T \\boldsymbol{x} , \\quad \\boldsymbol{x}\\in\\mathbf{R}^n.\n", @@ -1219,9 +1105,7 @@ { "cell_type": "markdown", "id": "66e7d9f9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "This suggests taking the first basis vector $\\boldsymbol{r}_1$ (see below for definition) \n", "to be the gradient of $f$ at $\\boldsymbol{x}=\\boldsymbol{x}_0$, \n", @@ -1231,9 +1115,7 @@ { "cell_type": "markdown", "id": "a4970262", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{A}\\boldsymbol{x}_0-\\boldsymbol{b},\n", @@ -1243,9 +1125,7 @@ { "cell_type": "markdown", "id": "d1492859", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "and \n", "$\\boldsymbol{x}_0=0$ it is equal $-\\boldsymbol{b}$." @@ -1254,9 +1134,7 @@ { "cell_type": "markdown", "id": "298fed8e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Final expressions\n", "We can compute the residual iteratively as" @@ -1265,9 +1143,7 @@ { "cell_type": "markdown", "id": "e5ae1578", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{r}_{k+1}=\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_{k+1},\n", @@ -1277,9 +1153,7 @@ { "cell_type": "markdown", "id": "0311229d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "which equals" ] @@ -1287,9 +1161,7 @@ { "cell_type": "markdown", "id": "99eb2181", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{b}-\\boldsymbol{A}(\\boldsymbol{x}_k+\\alpha_k\\boldsymbol{r}_k),\n", @@ -1299,9 +1171,7 @@ { "cell_type": "markdown", "id": "08b7b7f5", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "or" ] @@ -1309,9 +1179,7 @@ { "cell_type": "markdown", "id": "8a89c9f8", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "(\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_k)-\\alpha_k\\boldsymbol{A}\\boldsymbol{r}_k,\n", @@ -1321,9 +1189,7 @@ { "cell_type": "markdown", "id": "e491710b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "which gives" ] @@ -1331,9 +1197,7 @@ { "cell_type": "markdown", "id": "ce03e660", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\alpha_k = \\frac{\\boldsymbol{r}_k^T\\boldsymbol{r}_k}{\\boldsymbol{r}_k^T\\boldsymbol{A}\\boldsymbol{r}_k}\n", @@ -1343,9 +1207,7 @@ { "cell_type": "markdown", "id": "66cd9e49", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "leading to the iterative scheme" ] @@ -1353,9 +1215,7 @@ { "cell_type": "markdown", "id": "34ad9715", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{x}_{k+1}=\\boldsymbol{x}_k-\\alpha_k\\boldsymbol{r}_{k},\n", @@ -1365,9 +1225,7 @@ { "cell_type": "markdown", "id": "0d46875f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Steepest descent example" ] @@ -1376,11 +1234,39 @@ "cell_type": "code", "execution_count": 4, "id": "72331d76", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_42389/2941247930.py:16: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n", + " ax = fig.gca(projection=\"3d\")\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import numpy as np\n", "import numpy.linalg as la\n", @@ -1407,9 +1293,7 @@ { "cell_type": "markdown", "id": "f9baba11", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "And then as countor plot" ] @@ -1418,11 +1302,21 @@ "cell_type": "code", "execution_count": 5, "id": "b0aec5c4", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "pt.axis(\"equal\")\n", "pt.contour(xmesh, ymesh, fmesh)\n", @@ -1432,9 +1326,7 @@ { "cell_type": "markdown", "id": "aab04a85", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Find guesses" ] @@ -1443,10 +1335,7 @@ "cell_type": "code", "execution_count": 6, "id": "35ab2a27", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "x = guesses[-1]\n", @@ -1456,9 +1345,7 @@ { "cell_type": "markdown", "id": "38845ab4", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Run it!" ] @@ -1467,11 +1354,16 @@ "cell_type": "code", "execution_count": 7, "id": "e40e952d", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 0.69230769 -0.38461539]\n" + ] + } + ], "source": [ "def f1d(alpha):\n", " return f(x + alpha*s)\n", @@ -1485,9 +1377,7 @@ { "cell_type": "markdown", "id": "b17e7f44", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "What happened?" ] @@ -1496,11 +1386,31 @@ "cell_type": "code", "execution_count": 8, "id": "d65ee839", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "pt.axis(\"equal\")\n", "pt.contour(xmesh, ymesh, fmesh, 50)\n", @@ -1511,9 +1421,7 @@ { "cell_type": "markdown", "id": "18c7c22e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Note that we did only one iteration here. We can easily add more using our previous guesses." ] @@ -1521,9 +1429,7 @@ { "cell_type": "markdown", "id": "7f1456dc", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Conjugate gradient method\n", "In the CG method we define so-called conjugate directions and two vectors \n", @@ -1535,9 +1441,7 @@ { "cell_type": "markdown", "id": "dd173dfb", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{s}^T\\boldsymbol{A}\\boldsymbol{t}= 0.\n", @@ -1547,9 +1451,7 @@ { "cell_type": "markdown", "id": "d701c9fb", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "The philosophy of the CG method is to perform searches in various conjugate directions\n", "of our vectors $\\boldsymbol{x}_i$ obeying the above criterion, namely" @@ -1558,9 +1460,7 @@ { "cell_type": "markdown", "id": "f9a8b68b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{x}_i^T\\boldsymbol{A}\\boldsymbol{x}_j= 0.\n", @@ -1570,9 +1470,7 @@ { "cell_type": "markdown", "id": "a2dce53d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Two vectors are conjugate if they are orthogonal with respect to \n", "this inner product. Being conjugate is a symmetric relation: if $\\boldsymbol{s}$ is conjugate to $\\boldsymbol{t}$, then $\\boldsymbol{t}$ is conjugate to $\\boldsymbol{s}$." @@ -1581,9 +1479,7 @@ { "cell_type": "markdown", "id": "19ff9038", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Conjugate gradient method\n", "An example is given by the eigenvectors of the matrix" @@ -1592,9 +1488,7 @@ { "cell_type": "markdown", "id": "8cbcc7e2", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{v}_i^T\\boldsymbol{A}\\boldsymbol{v}_j= \\lambda\\boldsymbol{v}_i^T\\boldsymbol{v}_j,\n", @@ -1604,9 +1498,7 @@ { "cell_type": "markdown", "id": "e9ea4968", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "which is zero unless $i=j$." ] @@ -1614,9 +1506,7 @@ { "cell_type": "markdown", "id": "412198c3", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Conjugate gradient method\n", "Assume now that we have a symmetric positive-definite matrix $\\boldsymbol{A}$ of size\n", @@ -1626,9 +1516,7 @@ { "cell_type": "markdown", "id": "4e53e367", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{x}_{i+1}=\\boldsymbol{x}_{i}+\\alpha_i\\boldsymbol{p}_{i}.\n", @@ -1638,9 +1526,7 @@ { "cell_type": "markdown", "id": "c5c23589", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "We assume that $\\boldsymbol{p}_{i}$ is a sequence of $n$ mutually conjugate directions. \n", "Then the $\\boldsymbol{p}_{i}$ form a basis of $R^n$ and we can expand the solution \n", @@ -1650,9 +1536,7 @@ { "cell_type": "markdown", "id": "cb47cf57", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{x} = \\sum^{n}_{i=1} \\alpha_i \\boldsymbol{p}_i.\n", @@ -1662,9 +1546,7 @@ { "cell_type": "markdown", "id": "5bdec91c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Conjugate gradient method\n", "The coefficients are given by" @@ -1673,9 +1555,7 @@ { "cell_type": "markdown", "id": "ce3082b7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\mathbf{A}\\mathbf{x} = \\sum^{n}_{i=1} \\alpha_i \\mathbf{A} \\mathbf{p}_i = \\mathbf{b}.\n", @@ -1685,9 +1565,7 @@ { "cell_type": "markdown", "id": "8b1139e9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Multiplying with $\\boldsymbol{p}_k^T$ from the left gives" ] @@ -1695,9 +1573,7 @@ { "cell_type": "markdown", "id": "58d65744", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{p}_k^T \\boldsymbol{A}\\boldsymbol{x} = \\sum^{n}_{i=1} \\alpha_i\\boldsymbol{p}_k^T \\boldsymbol{A}\\boldsymbol{p}_i= \\boldsymbol{p}_k^T \\boldsymbol{b},\n", @@ -1707,9 +1583,7 @@ { "cell_type": "markdown", "id": "85fe84cb", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "and we can define the coefficients $\\alpha_k$ as" ] @@ -1717,9 +1591,7 @@ { "cell_type": "markdown", "id": "8e4ea650", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\alpha_k = \\frac{\\boldsymbol{p}_k^T \\boldsymbol{b}}{\\boldsymbol{p}_k^T \\boldsymbol{A} \\boldsymbol{p}_k}\n", @@ -1729,9 +1601,7 @@ { "cell_type": "markdown", "id": "7fc2b5db", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Conjugate gradient method and iterations\n", "\n", @@ -1749,9 +1619,7 @@ { "cell_type": "markdown", "id": "a653e167", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{x}_0=0,\n", @@ -1761,9 +1629,7 @@ { "cell_type": "markdown", "id": "140a6cf3", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "or consider the system" ] @@ -1771,9 +1637,7 @@ { "cell_type": "markdown", "id": "0e842bf0", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{A}\\boldsymbol{z} = \\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_0,\n", @@ -1783,9 +1647,7 @@ { "cell_type": "markdown", "id": "2d539424", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "instead." ] @@ -1793,9 +1655,7 @@ { "cell_type": "markdown", "id": "4027b150", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Conjugate gradient method\n", "One can show that the solution $\\boldsymbol{x}$ is also the unique minimizer of the quadratic form" @@ -1804,9 +1664,7 @@ { "cell_type": "markdown", "id": "51bb612d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "f(\\boldsymbol{x}) = \\frac{1}{2}\\boldsymbol{x}^T\\boldsymbol{A}\\boldsymbol{x} - \\boldsymbol{x}^T \\boldsymbol{x} , \\quad \\boldsymbol{x}\\in\\mathbf{R}^n.\n", @@ -1816,9 +1674,7 @@ { "cell_type": "markdown", "id": "3eabe463", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "This suggests taking the first basis vector $\\boldsymbol{p}_1$ \n", "to be the gradient of $f$ at $\\boldsymbol{x}=\\boldsymbol{x}_0$, \n", @@ -1828,9 +1684,7 @@ { "cell_type": "markdown", "id": "5680938b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{A}\\boldsymbol{x}_0-\\boldsymbol{b},\n", @@ -1840,9 +1694,7 @@ { "cell_type": "markdown", "id": "9342de43", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "and \n", "$\\boldsymbol{x}_0=0$ it is equal $-\\boldsymbol{b}$.\n", @@ -1853,9 +1705,7 @@ { "cell_type": "markdown", "id": "dc6b0289", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Conjugate gradient method\n", "Let $\\boldsymbol{r}_k$ be the residual at the $k$-th step:" @@ -1864,9 +1714,7 @@ { "cell_type": "markdown", "id": "d662d6cb", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{r}_k=\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_k.\n", @@ -1876,9 +1724,7 @@ { "cell_type": "markdown", "id": "a1dfc17e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Note that $\\boldsymbol{r}_k$ is the negative gradient of $f$ at \n", "$\\boldsymbol{x}=\\boldsymbol{x}_k$, \n", @@ -1892,9 +1738,7 @@ { "cell_type": "markdown", "id": "e7217dd4", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{p}_{k+1}=\\boldsymbol{r}_k-\\frac{\\boldsymbol{p}_k^T \\boldsymbol{A}\\boldsymbol{r}_k}{\\boldsymbol{p}_k^T\\boldsymbol{A}\\boldsymbol{p}_k} \\boldsymbol{p}_k.\n", @@ -1904,9 +1748,7 @@ { "cell_type": "markdown", "id": "fc97e4f1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Conjugate gradient method\n", "We can also compute the residual iteratively as" @@ -1915,9 +1757,7 @@ { "cell_type": "markdown", "id": "d68b2934", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{r}_{k+1}=\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_{k+1},\n", @@ -1927,9 +1767,7 @@ { "cell_type": "markdown", "id": "7be1c818", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "which equals" ] @@ -1937,9 +1775,7 @@ { "cell_type": "markdown", "id": "71ce7281", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{b}-\\boldsymbol{A}(\\boldsymbol{x}_k+\\alpha_k\\boldsymbol{p}_k),\n", @@ -1949,9 +1785,7 @@ { "cell_type": "markdown", "id": "cbf9ce5a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "or" ] @@ -1959,9 +1793,7 @@ { "cell_type": "markdown", "id": "d7960c30", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "(\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_k)-\\alpha_k\\boldsymbol{A}\\boldsymbol{p}_k,\n", @@ -1971,9 +1803,7 @@ { "cell_type": "markdown", "id": "cffbbb79", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "which gives" ] @@ -1981,9 +1811,7 @@ { "cell_type": "markdown", "id": "718a0a6f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{r}_{k+1}=\\boldsymbol{r}_k-\\boldsymbol{A}\\boldsymbol{p}_{k},\n", @@ -1993,9 +1821,7 @@ { "cell_type": "markdown", "id": "4db7f5dc", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Revisiting our first homework\n", "\n", @@ -2017,10 +1843,7 @@ "cell_type": "code", "execution_count": 9, "id": "27af777d", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "x = 2*np.random.rand(m,1)\n", @@ -2030,9 +1853,7 @@ { "cell_type": "markdown", "id": "b5400386", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "with $x_i \\in [0,1] $ is chosen randomly using a uniform distribution. Additionally we have a stochastic noise chosen according to a normal distribution $\\cal {N}(0,1)$. \n", "The linear regression model is given by" @@ -2041,9 +1862,7 @@ { "cell_type": "markdown", "id": "24ed3756", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "h_\\beta(x) = \\boldsymbol{y} = \\beta_0 + \\beta_1 x,\n", @@ -2053,9 +1872,7 @@ { "cell_type": "markdown", "id": "00d1f306", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "such that" ] @@ -2063,9 +1880,7 @@ { "cell_type": "markdown", "id": "f30c3b64", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{y}_i = \\beta_0 + \\beta_1 x_i.\n", @@ -2075,9 +1890,7 @@ { "cell_type": "markdown", "id": "165a54d8", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Gradient descent example\n", "\n", @@ -2089,9 +1902,7 @@ { "cell_type": "markdown", "id": "a9891168", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "X \\equiv \\begin{bmatrix}\n", @@ -2105,9 +1916,7 @@ { "cell_type": "markdown", "id": "7d7d1698", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "The cost/loss/risk function is given by (" ] @@ -2115,9 +1924,7 @@ { "cell_type": "markdown", "id": "8f31115e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "C(\\beta) = \\frac{1}{n}||X\\beta-\\mathbf{y}||_{2}^{2} = \\frac{1}{n}\\sum_{i=1}^{100}\\left[ (\\beta_0 + \\beta_1 x_i)^2 - 2 y_i (\\beta_0 + \\beta_1 x_i) + y_i^2\\right]\n", @@ -2127,9 +1934,7 @@ { "cell_type": "markdown", "id": "c0eb6ac5", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "and we want to find $\\beta$ such that $C(\\beta)$ is minimized." ] @@ -2137,9 +1942,7 @@ { "cell_type": "markdown", "id": "adff23ee", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The derivative of the cost/loss function\n", "\n", @@ -2149,9 +1952,7 @@ { "cell_type": "markdown", "id": "071987fc", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\nabla_{\\beta} C(\\beta) = \\frac{2}{n}\\begin{bmatrix} \\sum_{i=1}^{100} \\left(\\beta_0+\\beta_1x_i-y_i\\right) \\\\\n", @@ -2163,9 +1964,7 @@ { "cell_type": "markdown", "id": "384bc1a2", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $X$ is the design matrix defined above." ] @@ -2173,9 +1972,7 @@ { "cell_type": "markdown", "id": "f2d21cdc", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The Hessian matrix\n", "The Hessian matrix of $C(\\beta)$ is given by" @@ -2184,9 +1981,7 @@ { "cell_type": "markdown", "id": "1e8bca50", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{H} \\equiv \\begin{bmatrix}\n", @@ -2199,9 +1994,7 @@ { "cell_type": "markdown", "id": "f9fca584", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "This result implies that $C(\\beta)$ is a convex function since the matrix $X^T X$ always is positive semi-definite." ] @@ -2209,9 +2002,7 @@ { "cell_type": "markdown", "id": "0860c223", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Simple program\n", "\n", @@ -2221,9 +2012,7 @@ { "cell_type": "markdown", "id": "130d7405", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\beta_{k+1} = \\beta_k - \\gamma \\nabla_\\beta C(\\beta_k), \\ k=0,1,\\cdots\n", @@ -2233,9 +2022,7 @@ { "cell_type": "markdown", "id": "122ab1a1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "We can use the expression we computed for the gradient and let use a\n", "$\\beta_0$ be chosen randomly and let $\\gamma = 0.001$. Stop iterating\n", @@ -2248,9 +2035,7 @@ { "cell_type": "markdown", "id": "cd9cc831", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Gradient Descent Example\n", "\n", @@ -2259,13 +2044,34 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "id": "d927a289", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Eigenvalues of Hessian Matrix:[0.28065531 4.4834507 ]\n", + "[[4.31499792]\n", + " [2.76774725]]\n", + "[[4.31499792]\n", + " [2.76774725]]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "\n", "# Importing various packages\n", @@ -2318,22 +2124,27 @@ { "cell_type": "markdown", "id": "6c19826d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## And a corresponding example using **scikit-learn**" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "id": "f6b889bd", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[3.55513228]\n", + " [3.3552839 ]]\n", + "[3.5182936] [3.30404461]\n" + ] + } + ], "source": [ "# Importing various packages\n", "from random import random, seed\n", @@ -2356,9 +2167,7 @@ { "cell_type": "markdown", "id": "21739cb2", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Gradient descent and Ridge\n", "\n", @@ -2368,9 +2177,7 @@ { "cell_type": "markdown", "id": "c05f8428", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "C_{\\text{ridge}}(\\beta) = \\frac{1}{n}||X\\beta -\\mathbf{y}||^2 + \\lambda ||\\beta||^2, \\ \\lambda \\geq 0.\n", @@ -2380,9 +2187,7 @@ { "cell_type": "markdown", "id": "6c8ced5e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "In order to minimize $C_{\\text{ridge}}(\\beta)$ using GD we adjust the gradient as follows" ] @@ -2390,9 +2195,7 @@ { "cell_type": "markdown", "id": "14452016", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\nabla_\\beta C_{\\text{ridge}}(\\beta) = \\frac{2}{n}\\begin{bmatrix} \\sum_{i=1}^{100} \\left(\\beta_0+\\beta_1x_i-y_i\\right) \\\\\n", @@ -2404,9 +2207,7 @@ { "cell_type": "markdown", "id": "542f52f5", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "We can easily extend our program to minimize $C_{\\text{ridge}}(\\beta)$ using gradient descent and compare with the analytical solution given by" ] @@ -2414,9 +2215,7 @@ { "cell_type": "markdown", "id": "f5c485ed", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\beta_{\\text{ridge}} = \\left(X^T X + n\\lambda I_{2 \\times 2} \\right)^{-1} X^T \\mathbf{y}.\n", @@ -2426,9 +2225,7 @@ { "cell_type": "markdown", "id": "1e4bbe6a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The Hessian matrix for Ridge Regression\n", "The Hessian matrix of Ridge Regression for our simple example is given by" @@ -2437,9 +2234,7 @@ { "cell_type": "markdown", "id": "8395f779", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{H} \\equiv \\begin{bmatrix}\n", @@ -2452,9 +2247,7 @@ { "cell_type": "markdown", "id": "57327b35", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "This implies that the Hessian matrix is positive definite, hence the stationary point is a\n", "minimum.\n", @@ -2466,22 +2259,41 @@ { "cell_type": "markdown", "id": "86d6e4b0", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Program example for gradient descent with Ridge Regression" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "id": "caf0e6e4", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Eigenvalues of Hessian Matrix:[0.29052231 4.94613286]\n", + "[[4.05416408]\n", + " [2.8806349 ]]\n", + "[[4.05191339]\n", + " [2.88235092]]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from random import random, seed\n", "import numpy as np\n", @@ -2538,9 +2350,7 @@ { "cell_type": "markdown", "id": "993c191f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Using gradient descent methods, limitations\n", "\n", @@ -2560,9 +2370,7 @@ { "cell_type": "markdown", "id": "cc175c37", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Challenge yourself\n", "\n", @@ -2572,9 +2380,7 @@ { "cell_type": "markdown", "id": "6e8e9108", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Friday October 1" ] @@ -2582,9 +2388,7 @@ { "cell_type": "markdown", "id": "f394fbb7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Stochastic Gradient Descent\n", "\n", @@ -2599,9 +2403,7 @@ { "cell_type": "markdown", "id": "55224423", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "C(\\mathbf{\\beta}) = \\sum_{i=1}^n c_i(\\mathbf{x}_i,\n", @@ -2612,9 +2414,7 @@ { "cell_type": "markdown", "id": "b2e74eb7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Computation of gradients\n", "\n", @@ -2625,9 +2425,7 @@ { "cell_type": "markdown", "id": "07f89fcc", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\nabla_\\beta C(\\mathbf{\\beta}) = \\sum_i^n \\nabla_\\beta c_i(\\mathbf{x}_i,\n", @@ -2638,9 +2436,7 @@ { "cell_type": "markdown", "id": "6e739ebb", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Stochasticity/randomness is introduced by only taking the\n", "gradient on a subset of the data called minibatches. If there are $n$\n", @@ -2652,9 +2448,7 @@ { "cell_type": "markdown", "id": "abc794f3", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## SGD example\n", "As an example, suppose we have $10$ data points $(\\mathbf{x}_1,\\cdots, \\mathbf{x}_{10})$ \n", @@ -2674,9 +2468,7 @@ { "cell_type": "markdown", "id": "ec3cd60b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\nabla_{\\beta}\n", @@ -2689,9 +2481,7 @@ { "cell_type": "markdown", "id": "f1ba24d4", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The gradient step\n", "\n", @@ -2701,9 +2491,7 @@ { "cell_type": "markdown", "id": "7d8ddcd7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\beta_{j+1} = \\beta_j - \\gamma_j \\sum_{i \\in B_k}^n \\nabla_\\beta c_i(\\mathbf{x}_i,\n", @@ -2714,9 +2502,7 @@ { "cell_type": "markdown", "id": "d7ec3248", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $k$ is picked at random with equal\n", "probability from $[1,n/M]$. An iteration over the number of\n", @@ -2728,21 +2514,16 @@ { "cell_type": "markdown", "id": "b1f5fefb", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Simple example code" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "id": "5f016a5c", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np \n", @@ -2764,9 +2545,7 @@ { "cell_type": "markdown", "id": "d027c5cf", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Taking the gradient only on a subset of the data has two important\n", "benefits. First, it introduces randomness which decreases the chance\n", @@ -2780,9 +2559,7 @@ { "cell_type": "markdown", "id": "de22c064", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## When do we stop?\n", "\n", @@ -2801,9 +2578,7 @@ { "cell_type": "markdown", "id": "dc00cb26", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Slightly different approach\n", "\n", @@ -2824,10 +2599,7 @@ "cell_type": "code", "execution_count": 14, "id": "b001ca3d", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np \n", @@ -2859,22 +2631,47 @@ { "cell_type": "markdown", "id": "f6733633", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Program for stochastic gradient" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 13, "id": "cc6e4463", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Own inversion\n", + "[[3.90956014]\n", + " [2.98604929]]\n", + "sgdreg from scikit\n", + "[3.8704925] [2.96845746]\n", + "theta from own gd\n", + "[[3.90956014]\n", + " [2.98604929]]\n", + "theta from own sdg\n", + "[[3.87327055]\n", + " [2.97597101]]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Importing various packages\n", "from math import exp, sqrt\n", @@ -2946,9 +2743,7 @@ { "cell_type": "markdown", "id": "aab422e4", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "**Challenge**: try to write a similar code for a Logistic Regression case." ] @@ -2956,9 +2751,7 @@ { "cell_type": "markdown", "id": "017e3c2e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Code with a Number of Minibatches which varies\n", "\n", @@ -2967,13 +2760,39 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 14, "id": "6dd6f473", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Own inversion\n", + "[[3.67953556]\n", + " [3.40822206]]\n", + "Eigenvalues of Hessian Matrix:[0.31809257 4.43255082]\n", + "theta from own gd\n", + "[[3.67953556]\n", + " [3.40822206]]\n", + "theta from own sdg\n", + "[[3.67542608]\n", + " [3.39087114]]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Importing various packages\n", "from math import exp, sqrt\n", @@ -3041,9 +2860,35 @@ "plt.title(r'Random numbers ')\n", "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cf4d086e", + "metadata": {}, + "outputs": [], + "source": [] } ], - "metadata": {}, + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.7" + } + }, "nbformat": 4, "nbformat_minor": 5 } diff --git a/doc/pub/week42/ipynb/week42.ipynb b/doc/pub/week42/ipynb/week42.ipynb index 54fbb6d85..efa3ff851 100644 --- a/doc/pub/week42/ipynb/week42.ipynb +++ b/doc/pub/week42/ipynb/week42.ipynb @@ -3,9 +3,7 @@ { "cell_type": "markdown", "id": "8e398fe8", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", @@ -15,9 +13,7 @@ { "cell_type": "markdown", "id": "1f97c008", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "# Week 42 Solving differential equations and Convolutional (CNN)\n", "**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University\n", @@ -30,9 +26,7 @@ { "cell_type": "markdown", "id": "a2435984", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Plan for week 42\n", "\n", @@ -72,9 +66,7 @@ { "cell_type": "markdown", "id": "2fbbd8bf", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Using Automatic differentiation\n", "\n", @@ -85,9 +77,7 @@ { "cell_type": "markdown", "id": "71369a34", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Solving ODEs with Deep Learning\n", "\n", @@ -108,9 +98,7 @@ { "cell_type": "markdown", "id": "23e48efc", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Ordinary Differential Equations\n", "\n", @@ -122,9 +110,7 @@ { "cell_type": "markdown", "id": "c34493cc", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -139,9 +125,7 @@ { "cell_type": "markdown", "id": "2d57124f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $g(x)$ is the function to find, and $g^{(n)}(x)$ is the $n$-th derivative of $g(x)$.\n", "\n", @@ -155,9 +139,7 @@ { "cell_type": "markdown", "id": "bb8a92a1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The trial solution\n", "\n", @@ -167,9 +149,7 @@ { "cell_type": "markdown", "id": "d395951c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -185,9 +165,7 @@ { "cell_type": "markdown", "id": "e16fd7ec", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $h_1(x)$ is a function that makes $g_t(x)$ satisfy a given set\n", "of conditions, $N(x,P)$ a neural network with weights and biases\n", @@ -206,9 +184,7 @@ { "cell_type": "markdown", "id": "d163155e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Minimization process\n", "\n", @@ -223,9 +199,7 @@ { "cell_type": "markdown", "id": "a9f27605", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "C\\left(x, P\\right) = \\big(f\\left(x, \\, g(x), \\, g'(x), \\, g''(x), \\, \\dots \\, , \\, g^{(n)}(x)\\right)\\big)^2\n", @@ -235,9 +209,7 @@ { "cell_type": "markdown", "id": "ea68c398", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "If $N$ inputs are given as a vector $\\boldsymbol{x}$ with elements $x_i$ for $i = 1,\\dots,N$,\n", "the cost function becomes" @@ -246,9 +218,7 @@ { "cell_type": "markdown", "id": "c0beec22", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -263,9 +233,7 @@ { "cell_type": "markdown", "id": "8c802ff5", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "The neural net should then find the parameters $P$ that minimizes the cost function in\n", "([3](#cost)) for a set of $N$ training samples $x_i$." @@ -274,9 +242,7 @@ { "cell_type": "markdown", "id": "cae84779", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Minimizing the cost function using gradient descent and automatic differentiation\n", "\n", @@ -290,9 +256,7 @@ { "cell_type": "markdown", "id": "a52f7bac", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Example: Exponential decay\n", "\n", @@ -302,9 +266,7 @@ { "cell_type": "markdown", "id": "3386122d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -319,9 +281,7 @@ { "cell_type": "markdown", "id": "6ffe34c1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "with $g(0) = g_0$ for some chosen initial value $g_0$.\n", "\n", @@ -331,9 +291,7 @@ { "cell_type": "markdown", "id": "b16a45db", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -349,9 +307,7 @@ { "cell_type": "markdown", "id": "fc42e4d4", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Having an analytical solution at hand, it is possible to use it to compare how well a neural network finds a solution of ([4](#solve_expdec))." ] @@ -359,9 +315,7 @@ { "cell_type": "markdown", "id": "7fa31334", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The function to solve for\n", "\n", @@ -371,9 +325,7 @@ { "cell_type": "markdown", "id": "464ae108", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -388,9 +340,7 @@ { "cell_type": "markdown", "id": "b5d81c7e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $g(0) = g_0$ with $\\gamma$ and $g_0$ being some chosen values.\n", "\n", @@ -400,9 +350,7 @@ { "cell_type": "markdown", "id": "677c2a35", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The trial solution\n", "To begin with, a trial solution $g_t(t)$ must be chosen. A general trial solution for ordinary differential equations could be" @@ -411,9 +359,7 @@ { "cell_type": "markdown", "id": "36409f2d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "g_t(x, P) = h_1(x) + h_2(x, N(x, P))\n", @@ -423,9 +369,7 @@ { "cell_type": "markdown", "id": "3643f0a9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "with $h_1(x)$ ensuring that $g_t(x)$ satisfies some conditions and $h_2(x,N(x, P))$ an expression involving $x$ and the output from the neural network $N(x,P)$ with $P $ being the collection of the weights and biases for each layer. For now, it is assumed that the network consists of one input layer, one hidden layer, and one output layer." ] @@ -433,9 +377,7 @@ { "cell_type": "markdown", "id": "9d5807ca", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Setup of Network\n", "\n", @@ -453,9 +395,7 @@ { "cell_type": "markdown", "id": "18d6479a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -470,9 +410,7 @@ { "cell_type": "markdown", "id": "1a81d001", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Reformulating the problem\n", "\n", @@ -489,9 +427,7 @@ { "cell_type": "markdown", "id": "287a647d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "g_t(x, P) = g_0 + x \\cdot N(x, P)\n", @@ -501,9 +437,7 @@ { "cell_type": "markdown", "id": "41460eef", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "has been chosen such that it already solves the condition $g(0) = g_0$. What remains, is to find $P$ such that" ] @@ -511,9 +445,7 @@ { "cell_type": "markdown", "id": "ec1b8c56", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -528,9 +460,7 @@ { "cell_type": "markdown", "id": "8d2a969f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "is fulfilled as *best as possible*." ] @@ -538,9 +468,7 @@ { "cell_type": "markdown", "id": "8dc1304d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## More technicalities\n", "\n", @@ -554,9 +482,7 @@ { "cell_type": "markdown", "id": "4f46f818", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\min_{P}\\Big\\{ \\big(g_t'(x, P) - ( -\\gamma g_t(x, P) \\big)^2 \\Big\\}\n", @@ -566,9 +492,7 @@ { "cell_type": "markdown", "id": "6dac871b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "(the notation $\\min_{P}\\{ f(x, P) \\}$ means that we desire to find $P$ that yields the minimum of $f(x, P)$)\n", "\n", @@ -578,9 +502,7 @@ { "cell_type": "markdown", "id": "e62dc8a7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\min_{P_{\\text{hidden} }, \\ P_{\\text{output} }}\\Big\\{ \\big(g_t'(x, \\{ P_{\\text{hidden} }, P_{\\text{output} }\\}) - ( -\\gamma g_t(x, \\{ P_{\\text{hidden} }, P_{\\text{output} }\\}) \\big)^2 \\Big\\}\n", @@ -590,9 +512,7 @@ { "cell_type": "markdown", "id": "08a62086", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "for an input value $x$." ] @@ -600,9 +520,7 @@ { "cell_type": "markdown", "id": "e8f97c3e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## More details\n", "\n", @@ -612,9 +530,7 @@ { "cell_type": "markdown", "id": "01823fab", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -629,9 +545,7 @@ { "cell_type": "markdown", "id": "c73d31a8", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Letting $\\boldsymbol{x}$ be a vector with elements $x_i$ and $C(\\boldsymbol{x}, P) = \\frac{1}{N} \\sum_i \\big(g_t'(x_i, P) - ( -\\gamma g_t(x_i, P) \\big)^2$ denote the cost function, the minimization problem that our network must solve, becomes" ] @@ -639,9 +553,7 @@ { "cell_type": "markdown", "id": "855bedf7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\min_{P} C(\\boldsymbol{x}, P)\n", @@ -651,9 +563,7 @@ { "cell_type": "markdown", "id": "da1b9c3d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "In terms of $P_{\\text{hidden} }$ and $P_{\\text{output} }$, this could also be expressed as\n", "\n", @@ -665,9 +575,7 @@ { "cell_type": "markdown", "id": "6b43e878", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## A possible implementation of a neural network\n", "\n", @@ -681,9 +589,7 @@ { "cell_type": "markdown", "id": "bdbe03eb", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Technicalities\n", "\n", @@ -693,9 +599,7 @@ { "cell_type": "markdown", "id": "13ddc5e9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{aligned}\n", @@ -715,9 +619,7 @@ { "cell_type": "markdown", "id": "45fe32da", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Final technicalities I\n", "\n", @@ -727,9 +629,7 @@ { "cell_type": "markdown", "id": "7c252949", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{aligned}\n", @@ -750,9 +650,7 @@ { "cell_type": "markdown", "id": "0e4d7eec", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Final technicalities II\n", "\n", @@ -766,9 +664,7 @@ { "cell_type": "markdown", "id": "2816db5d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "f(z) = \\frac{1}{1 + \\exp{(-z)}}\n", @@ -778,9 +674,7 @@ { "cell_type": "markdown", "id": "1cafc4ed", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "It is possible to use other activations functions for the hidden layer also.\n", "\n", @@ -802,9 +696,7 @@ { "cell_type": "markdown", "id": "ee81c5f7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Final technicalities III\n", "\n", @@ -814,9 +706,7 @@ { "cell_type": "markdown", "id": "31033f61", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{aligned}\n", @@ -835,9 +725,7 @@ { "cell_type": "markdown", "id": "67e072f5", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Final technicalities IV\n", "\n", @@ -847,9 +735,7 @@ { "cell_type": "markdown", "id": "afa04bce", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{z}_{1}^{\\text{output}} =\n", @@ -866,9 +752,7 @@ { "cell_type": "markdown", "id": "d3f9fc4c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "In this case we seek a continuous range of values since we are approximating a function. This means that after computing $\\boldsymbol{z}_{1}^{\\text{output}}$ the neural network has finished its feed forward step, and $\\boldsymbol{z}_{1}^{\\text{output}}$ is the final output of the network." ] @@ -876,9 +760,7 @@ { "cell_type": "markdown", "id": "61973639", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Back propagation\n", "\n", @@ -890,9 +772,7 @@ { "cell_type": "markdown", "id": "b7019444", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "C(\\boldsymbol{x}, P) = \\frac{1}{N} \\sum_i \\big(g_t'(x_i, P) - ( -\\gamma g_t(x_i, P) \\big)^2\n", @@ -902,9 +782,7 @@ { "cell_type": "markdown", "id": "e95b1d65", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "In order to minimize the cost function, an optimization method must be chosen.\n", "\n", @@ -914,9 +792,7 @@ { "cell_type": "markdown", "id": "a128e4d6", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Gradient descent\n", "\n", @@ -931,9 +807,7 @@ { "cell_type": "markdown", "id": "6e1a8e79", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{\\omega}_{\\text{new} } = \\boldsymbol{\\omega} - \\lambda \\nabla_{\\boldsymbol{\\omega}} C(\\boldsymbol{x}, \\boldsymbol{\\omega})\n", @@ -943,9 +817,7 @@ { "cell_type": "markdown", "id": "1baf7e8f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "for a number of iterations or until $ \\big|\\big| \\boldsymbol{\\omega}_{\\text{new} } - \\boldsymbol{\\omega} \\big|\\big|$ becomes smaller than some given tolerance.\n", "\n", @@ -965,9 +837,7 @@ { "cell_type": "markdown", "id": "c5c4f5de", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{aligned}\n", @@ -980,9 +850,7 @@ { "cell_type": "markdown", "id": "2cbe831e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The code for solving the ODE" ] @@ -991,10 +859,7 @@ "cell_type": "code", "execution_count": 1, "id": "56e7106b", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", @@ -1148,9 +1013,7 @@ { "cell_type": "markdown", "id": "e0110017", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The network with one input layer, specified number of hidden layers, and one output layer\n", "\n", @@ -1163,10 +1026,7 @@ "cell_type": "code", "execution_count": 2, "id": "02cef8ef", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "import autograd.numpy as np\n", @@ -1332,9 +1192,7 @@ { "cell_type": "markdown", "id": "fdeec197", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Example: Population growth\n", "\n", @@ -1345,9 +1203,7 @@ { "cell_type": "markdown", "id": "0c4bcd28", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -1362,9 +1218,7 @@ { "cell_type": "markdown", "id": "b6d96419", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $g(t)$ is the population density at time $t$, $\\alpha > 0$ the growth rate and $A > 0$ is the maximum population number in the environment.\n", "Also, at $t = 0$ the population has the size $g(0) = g_0$, where $g_0$ is some chosen constant.\n", @@ -1378,9 +1232,7 @@ { "cell_type": "markdown", "id": "40720c61", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Setting up the problem\n", "\n", @@ -1391,9 +1243,7 @@ { "cell_type": "markdown", "id": "f4169bc5", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -1408,9 +1258,7 @@ { "cell_type": "markdown", "id": "5a7bbdba", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $g(0) = g_0$.\n", "\n", @@ -1420,9 +1268,7 @@ { "cell_type": "markdown", "id": "7b78ab69", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The trial solution\n", "\n", @@ -1447,9 +1293,7 @@ { "cell_type": "markdown", "id": "54e7dcd1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The program using Autograd\n", "\n", @@ -1460,10 +1304,7 @@ "cell_type": "code", "execution_count": 3, "id": "0c2285d7", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "import autograd.numpy as np\n", @@ -1634,9 +1475,7 @@ { "cell_type": "markdown", "id": "83b73b0c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Using forward Euler to solve the ODE\n", "\n", @@ -1654,9 +1493,7 @@ { "cell_type": "markdown", "id": "4244bff7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{aligned}\n", @@ -1669,9 +1506,7 @@ { "cell_type": "markdown", "id": "34c30b4b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "along with the condition that $g(0) = g_0$.\n", "\n", @@ -1683,9 +1518,7 @@ { "cell_type": "markdown", "id": "99eaa1bc", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{aligned}\n", @@ -1699,9 +1532,7 @@ { "cell_type": "markdown", "id": "36a7014b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Now, if $g_i = g(t_i)$ then" ] @@ -1709,9 +1540,7 @@ { "cell_type": "markdown", "id": "1fd14541", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -1731,9 +1560,7 @@ { "cell_type": "markdown", "id": "b1680fa9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "for $i \\geq 1$ and $g_0 = g(t_0) = g(0) = g_0$.\n", "\n", @@ -1745,10 +1572,7 @@ "cell_type": "code", "execution_count": 4, "id": "82875384", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# Assume that all function definitions from the example program using Autograd\n", @@ -1821,9 +1645,7 @@ { "cell_type": "markdown", "id": "55c2799d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Example: Solving the one dimensional Poisson equation\n", "\n", @@ -1833,9 +1655,7 @@ { "cell_type": "markdown", "id": "6f3825aa", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -1850,9 +1670,7 @@ { "cell_type": "markdown", "id": "e3499215", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $f(x)$ is a given function for $x \\in (0,1)$.\n", "\n", @@ -1862,9 +1680,7 @@ { "cell_type": "markdown", "id": "26db15c7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{align*}\n", @@ -1877,9 +1693,7 @@ { "cell_type": "markdown", "id": "8b44d3d4", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "This equation can be solved numerically using programs where e.g Autograd and TensorFlow are used.\n", "The results from the networks can then be compared to the analytical solution.\n", @@ -1889,9 +1703,7 @@ { "cell_type": "markdown", "id": "4e6c92b8", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The specific equation to solve for\n", "\n", @@ -1901,9 +1713,7 @@ { "cell_type": "markdown", "id": "8dbcf715", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "-g''(x) = f(x),\\qquad x \\in (0,1)\n", @@ -1913,9 +1723,7 @@ { "cell_type": "markdown", "id": "3a3bb1ee", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $f(x)$ is a given function, along with the chosen conditions" ] @@ -1923,9 +1731,7 @@ { "cell_type": "markdown", "id": "c5ca13f5", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -1940,9 +1746,7 @@ { "cell_type": "markdown", "id": "fb795b7c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "In this example, we consider the case when $f(x) = (3x + x^2)\\exp(x)$.\n", "\n", @@ -1952,9 +1756,7 @@ { "cell_type": "markdown", "id": "c4409a3f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "g_t(x) = x \\cdot (1-x) \\cdot N(P,x)\n", @@ -1964,9 +1766,7 @@ { "cell_type": "markdown", "id": "5c2a1327", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "The analytical solution for this problem is" ] @@ -1974,9 +1774,7 @@ { "cell_type": "markdown", "id": "0de5ddf3", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "g(x) = x(1 - x)\\exp(x)\n", @@ -1986,9 +1784,7 @@ { "cell_type": "markdown", "id": "ad732350", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Solving the equation using Autograd" ] @@ -1997,10 +1793,7 @@ "cell_type": "code", "execution_count": 5, "id": "cbeebe2a", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "import autograd.numpy as np\n", @@ -2158,9 +1951,7 @@ { "cell_type": "markdown", "id": "31404094", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Comparing with a numerical scheme\n", "\n", @@ -2180,9 +1971,7 @@ { "cell_type": "markdown", "id": "bba9731f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -2197,9 +1986,7 @@ { "cell_type": "markdown", "id": "f803a68b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "If $x_i = i \\Delta x = x_{i-1} + \\Delta x$ and $g_i = g(x_i)$ for $i = 1,\\dots N_x - 2$ with $N_x$ being the number of values for $x$, ([15](#approx)) becomes" ] @@ -2207,9 +1994,7 @@ { "cell_type": "markdown", "id": "89d9b731", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{aligned}\n", @@ -2222,9 +2007,7 @@ { "cell_type": "markdown", "id": "5136d6aa", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Since we know from our problem that" ] @@ -2232,9 +2015,7 @@ { "cell_type": "markdown", "id": "5475a969", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{aligned}\n", @@ -2247,9 +2028,7 @@ { "cell_type": "markdown", "id": "dd91be37", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "along with the conditions $g(0) = g(1) = 0$,\n", "the following scheme can be used to find an approximate solution for $g(x)$ numerically:" @@ -2258,9 +2037,7 @@ { "cell_type": "markdown", "id": "beb29ef6", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -2278,9 +2055,7 @@ { "cell_type": "markdown", "id": "f7c56ea4", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "for $i = 1, \\dots, N_x - 2$ where $g_0 = g_{N_x - 1} = 0$ and $f(x_i) = (3x_i + x_i^2)\\exp(x_i)$, which is given for our specific problem.\n", "\n", @@ -2290,9 +2065,7 @@ { "cell_type": "markdown", "id": "48406b9e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{aligned}\n", @@ -2327,9 +2100,7 @@ { "cell_type": "markdown", "id": "8b91e6e8", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "which makes it possible to solve for the vector $\\boldsymbol{g}$." ] @@ -2337,9 +2108,7 @@ { "cell_type": "markdown", "id": "f69d4c93", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Setting up the code\n", "\n", @@ -2350,10 +2119,7 @@ "cell_type": "code", "execution_count": 6, "id": "9c48f8b2", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "import autograd.numpy as np\n", @@ -2551,9 +2317,7 @@ { "cell_type": "markdown", "id": "9fff1ee1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Partial Differential Equations\n", "\n", @@ -2568,9 +2332,7 @@ { "cell_type": "markdown", "id": "30445620", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -2585,9 +2347,7 @@ { "cell_type": "markdown", "id": "8334db75", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $f$ is an expression involving all kinds of possible mixed derivatives of $g(x_1,\\dots,x_N)$ up to an order $n$. In order for the solution to be unique, some additional conditions must also be given." ] @@ -2595,9 +2355,7 @@ { "cell_type": "markdown", "id": "84d25e87", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Type of problem\n", "\n", @@ -2610,9 +2368,7 @@ { "cell_type": "markdown", "id": "40e4d637", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{align*}\n", @@ -2624,9 +2380,7 @@ { "cell_type": "markdown", "id": "3824ab9a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $h_1(x_1,\\dots,x_N)$ is a function that ensures $g_t(x_1,\\dots,x_N)$ satisfies some given conditions.\n", "The neural network $N(x_1,\\dots,x_N,P)$ has weights and biases described by $P$ and $h_2(x_1,\\dots,x_N,N(x_1,\\dots,x_N,P))$ is an expression using the output from the neural network in some way.\n", @@ -2637,9 +2391,7 @@ { "cell_type": "markdown", "id": "87fa5574", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Network requirements\n", "\n", @@ -2657,9 +2409,7 @@ { "cell_type": "markdown", "id": "3ed35cfb", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "C\\left(x_1, \\dots, x_N, P\\right) = \\left( f\\left(x_1, \\, \\dots \\, , x_N, \\frac{\\partial g(x_1,\\dots,x_N) }{\\partial x_1}, \\dots , \\frac{\\partial g(x_1,\\dots,x_N) }{\\partial x_N}, \\frac{\\partial g(x_1,\\dots,x_N) }{\\partial x_1\\partial x_2}, \\, \\dots \\, , \\frac{\\partial^n g(x_1,\\dots,x_N) }{\\partial x_N^n} \\right) \\right)^2\n", @@ -2669,9 +2419,7 @@ { "cell_type": "markdown", "id": "4afeacc7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## More details\n", "\n", @@ -2681,9 +2429,7 @@ { "cell_type": "markdown", "id": "ed897413", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "C\\left(\\boldsymbol{x}, P\\right) = f\\left( \\left( \\boldsymbol{x}, \\frac{\\partial g(\\boldsymbol{x}) }{\\partial x_1}, \\dots , \\frac{\\partial g(\\boldsymbol{x}) }{\\partial x_N}, \\frac{\\partial g(\\boldsymbol{x}) }{\\partial x_1\\partial x_2}, \\, \\dots \\, , \\frac{\\partial^n g(\\boldsymbol{x}) }{\\partial x_N^n} \\right) \\right)^2\n", @@ -2693,9 +2439,7 @@ { "cell_type": "markdown", "id": "7a6c39ab", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "If we also have $M$ different sets of values for $x_1, \\dots, x_N$, that is $\\boldsymbol{x}_i = \\big(x_1^{(i)}, \\dots, x_N^{(i)}\\big)$ for $i = 1,\\dots,M$ being the rows in matrix $X$, the cost function can be generalized into" ] @@ -2703,9 +2447,7 @@ { "cell_type": "markdown", "id": "693df54c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "C\\left(X, P \\right) = \\sum_{i=1}^M f\\left( \\left( \\boldsymbol{x}_i, \\frac{\\partial g(\\boldsymbol{x}_i) }{\\partial x_1}, \\dots , \\frac{\\partial g(\\boldsymbol{x}_i) }{\\partial x_N}, \\frac{\\partial g(\\boldsymbol{x}_i) }{\\partial x_1\\partial x_2}, \\, \\dots \\, , \\frac{\\partial^n g(\\boldsymbol{x}_i) }{\\partial x_N^n} \\right) \\right)^2.\n", @@ -2715,9 +2457,7 @@ { "cell_type": "markdown", "id": "4314aa23", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Example: The diffusion equation\n", "\n", @@ -2727,9 +2467,7 @@ { "cell_type": "markdown", "id": "28282245", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\frac{\\partial g(x,t)}{\\partial t} = \\frac{\\partial^2 g(x,t)}{\\partial x^2}\n", @@ -2739,9 +2477,7 @@ { "cell_type": "markdown", "id": "a616537a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where a possible choice of conditions are" ] @@ -2749,9 +2485,7 @@ { "cell_type": "markdown", "id": "12d75143", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{align*}\n", @@ -2765,9 +2499,7 @@ { "cell_type": "markdown", "id": "b7fe57e9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "with $u(x)$ being some given function." ] @@ -2775,9 +2507,7 @@ { "cell_type": "markdown", "id": "4bc4b50b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Defining the problem\n", "\n", @@ -2787,9 +2517,7 @@ { "cell_type": "markdown", "id": "01d7a24a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -2804,9 +2532,7 @@ { "cell_type": "markdown", "id": "2b950196", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "and" ] @@ -2814,9 +2540,7 @@ { "cell_type": "markdown", "id": "6a55dae1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{align*}\n", @@ -2830,9 +2554,7 @@ { "cell_type": "markdown", "id": "39861c15", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "with $u(x) = \\sin(\\pi x)$.\n", "\n", @@ -2844,9 +2566,7 @@ { "cell_type": "markdown", "id": "78f467e2", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Setting up the network using Autograd\n", "\n", @@ -2863,10 +2583,7 @@ "cell_type": "code", "execution_count": 7, "id": "82e6d33e", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "def sigmoid(z):\n", @@ -2918,9 +2635,7 @@ { "cell_type": "markdown", "id": "e3bc8288", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Setting up the network using Autograd; The trial solution\n", "\n", @@ -2948,9 +2663,7 @@ { "cell_type": "markdown", "id": "02659608", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Why the jacobian?\n", "\n", @@ -2977,10 +2690,7 @@ "cell_type": "code", "execution_count": 8, "id": "eeb4c031", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# Set up the trial function:\n", @@ -3024,9 +2734,7 @@ { "cell_type": "markdown", "id": "e167071a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Setting up the network using Autograd; The full program\n", "\n", @@ -3050,10 +2758,7 @@ "cell_type": "code", "execution_count": 9, "id": "5eec8f6b", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "import autograd.numpy as np\n", @@ -3284,9 +2989,7 @@ { "cell_type": "markdown", "id": "d1e743f6", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Example: Solving the wave equation with Neural Networks\n", "\n", @@ -3296,9 +2999,7 @@ { "cell_type": "markdown", "id": "c9b58704", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\frac{\\partial^2 g(x,t)}{\\partial t^2} = c^2\\frac{\\partial^2 g(x,t)}{\\partial x^2}\n", @@ -3308,9 +3009,7 @@ { "cell_type": "markdown", "id": "c801659e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "with $c$ being the specified wave speed.\n", "\n", @@ -3320,9 +3019,7 @@ { "cell_type": "markdown", "id": "2e2cf82b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{align*}\n", @@ -3337,9 +3034,7 @@ { "cell_type": "markdown", "id": "e9884c3e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $\\frac{\\partial g(x,t)}{\\partial t} \\Big |_{t = 0}$ means the derivative of $g(x,t)$ with respect to $t$ is evaluated at $t = 0$, and $u(x)$ and $v(x)$ being given functions." ] @@ -3347,9 +3042,7 @@ { "cell_type": "markdown", "id": "17caad91", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The problem to solve for\n", "\n", @@ -3359,9 +3052,7 @@ { "cell_type": "markdown", "id": "1916f708", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -3376,9 +3067,7 @@ { "cell_type": "markdown", "id": "0d06e5a3", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $c$ is the given wave speed.\n", "The chosen conditions for this equation are" @@ -3387,9 +3076,7 @@ { "cell_type": "markdown", "id": "7b96b0e9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -3407,9 +3094,7 @@ { "cell_type": "markdown", "id": "520d40a9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "In this example, let $c = 1$ and $u(x) = \\sin(\\pi x)$ and $v(x) = -\\pi\\sin(\\pi x)$." ] @@ -3417,9 +3102,7 @@ { "cell_type": "markdown", "id": "7c15ca92", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The trial solution\n", "Setting up the network is done in similar matter as for the example of solving the diffusion equation.\n", @@ -3443,9 +3126,7 @@ { "cell_type": "markdown", "id": "da502e29", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The analytical solution\n", "\n", @@ -3459,9 +3140,7 @@ { "cell_type": "markdown", "id": "3ac20dfc", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Solving the wave equation - the full program using Autograd" ] @@ -3470,10 +3149,7 @@ "cell_type": "code", "execution_count": 10, "id": "1939fab9", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "import autograd.numpy as np\n", @@ -3701,9 +3377,7 @@ { "cell_type": "markdown", "id": "ca3b9a41", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Resources on differential equations and deep learning\n", "\n", @@ -3719,9 +3393,7 @@ { "cell_type": "markdown", "id": "63d98ed2", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Convolutional Neural Networks (recognizing images)\n", "\n", @@ -3746,9 +3418,7 @@ { "cell_type": "markdown", "id": "4362da53", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## What is the Difference\n", "\n", @@ -3768,9 +3438,7 @@ { "cell_type": "markdown", "id": "c6d8071c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Neural Networks vs CNNs\n", "\n", @@ -3786,9 +3454,7 @@ { "cell_type": "markdown", "id": "43a65e08", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Why CNNS for images, sound files, medical images from CT scans etc?\n", "\n", @@ -3816,9 +3482,7 @@ { "cell_type": "markdown", "id": "2fa4f6e3", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Regular NNs don’t scale well to full images\n", "\n", @@ -3846,9 +3510,7 @@ { "cell_type": "markdown", "id": "534c9939", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## 3D volumes of neurons\n", "\n", @@ -3886,9 +3548,7 @@ { "cell_type": "markdown", "id": "99295868", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Layers used to build CNNs\n", "\n", @@ -3915,9 +3575,7 @@ { "cell_type": "markdown", "id": "2809029e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Transforming images\n", "\n", @@ -3937,9 +3595,7 @@ { "cell_type": "markdown", "id": "087b2977", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## CNNs in brief\n", "\n", @@ -3966,9 +3622,7 @@ { "cell_type": "markdown", "id": "932d5f7a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Key Idea\n", "\n", @@ -3983,9 +3637,7 @@ { "cell_type": "markdown", "id": "7b7001a6", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Mathematics of CNNs\n", "\n", @@ -4003,9 +3655,7 @@ { "cell_type": "markdown", "id": "034ff5d5", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "y(t) = \\int x(a) w(t-a) da,\n", @@ -4015,9 +3665,7 @@ { "cell_type": "markdown", "id": "5c3a28e1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $x(a)$ represents a so-called input and $w(t-a)$ is normally called the weight function or kernel.\n", "\n", @@ -4027,9 +3675,7 @@ { "cell_type": "markdown", "id": "8078a912", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "y(t) = \\left(x * w\\right)(t).\n", @@ -4039,9 +3685,7 @@ { "cell_type": "markdown", "id": "669056f3", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "The discretized version reads" ] @@ -4049,9 +3693,7 @@ { "cell_type": "markdown", "id": "8ec812db", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "y(t) = \\sum_{a=-\\infty}^{a=\\infty}x(a)w(t-a).\n", @@ -4061,9 +3703,7 @@ { "cell_type": "markdown", "id": "ca9955db", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Computing the inverse of the above convolution operations is known as deconvolution.\n", "\n", @@ -4073,9 +3713,7 @@ { "cell_type": "markdown", "id": "cbbb43f0", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Convolution Examples: Polynomial multiplication\n", "\n", @@ -4088,9 +3726,7 @@ { "cell_type": "markdown", "id": "57be9246", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "p(t) = \\alpha_0+\\alpha_1 t+\\alpha_2 t^2,\n", @@ -4100,9 +3736,7 @@ { "cell_type": "markdown", "id": "e1f8e679", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "and" ] @@ -4110,9 +3744,7 @@ { "cell_type": "markdown", "id": "679ada13", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "s(t) = \\beta_0+\\beta_1 t+\\beta_2 t^2+\\beta_3 t^3.\n", @@ -4122,9 +3754,7 @@ { "cell_type": "markdown", "id": "0247af1c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "The polynomial multiplication gives us a new polynomial of degree $5$" ] @@ -4132,9 +3762,7 @@ { "cell_type": "markdown", "id": "8c23e205", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "z(t) = \\delta_0+\\delta_1 t+\\delta_2 t^2+\\delta_3 t^3+\\delta_4 t^4+\\delta_5 t^5.\n", @@ -4144,9 +3772,7 @@ { "cell_type": "markdown", "id": "fa124966", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Efficient Polynomial Multiplication\n", "\n", @@ -4157,9 +3783,7 @@ { "cell_type": "markdown", "id": "a04bcb7f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{split}\n", @@ -4176,9 +3800,7 @@ { "cell_type": "markdown", "id": "8ed98f13", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "We note that $\\alpha_i=0$ except for $i\\in \\left\\{0,1,2\\right\\}$ and $\\beta_i=0$ except for $i\\in\\left\\{0,1,2,3\\right\\}$.\n", "\n", @@ -4188,9 +3810,7 @@ { "cell_type": "markdown", "id": "905a8854", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\delta_j = \\sum_{i=-\\infty}^{i=\\infty}\\alpha_i\\beta_{j-i}=(\\alpha * \\beta)_j,\n", @@ -4200,9 +3820,7 @@ { "cell_type": "markdown", "id": "3d91be3b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "or as a double sum with restriction $l=i+j$" ] @@ -4210,9 +3828,7 @@ { "cell_type": "markdown", "id": "d8ee707e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\delta_l = \\sum_{ij}\\alpha_i\\beta_{j}.\n", @@ -4222,9 +3838,7 @@ { "cell_type": "markdown", "id": "627be717", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Do you see a potential drawback with these equations?" ] @@ -4232,9 +3846,7 @@ { "cell_type": "markdown", "id": "b00f71ad", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## A more efficient way of coding the above Convolution\n", "\n", @@ -4246,9 +3858,7 @@ { "cell_type": "markdown", "id": "5a72e07d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{\\delta}=\\begin{bmatrix}\\alpha_0 & 0 & 0 & 0 \\\\\n", @@ -4264,9 +3874,7 @@ { "cell_type": "markdown", "id": "3248a429", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "The process is commutative and we can easily see that we can rewrite the multiplication in terms of a matrix holding $\\beta$ and a vector holding $\\alpha$.\n", "In this case we have" @@ -4275,9 +3883,7 @@ { "cell_type": "markdown", "id": "310f1e1a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{\\delta}=\\begin{bmatrix}\\beta_0 & 0 & 0 \\\\\n", @@ -4293,9 +3899,7 @@ { "cell_type": "markdown", "id": "b0c4f546", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Note that the use of these matrices is for mathematical purposes only and not implementation purposes.\n", "When implementing the above equation we do not encode (and allocate memory) the matrices explicitely.\n", @@ -4307,9 +3911,7 @@ { "cell_type": "markdown", "id": "99d20827", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Convolution Examples: Principle of Superposition and Periodic Forces (Fourier Transforms)\n", "\n", @@ -4319,9 +3921,7 @@ { "cell_type": "markdown", "id": "f719e8a4", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "m\\frac{d^2x}{dt^2}+\\eta\\frac{dx}{dt}+x(t)=F(t),\n", @@ -4331,9 +3931,7 @@ { "cell_type": "markdown", "id": "f0ab4dc7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $F(t)$ is an applied external force acting on the system (often called a driving force), one can use the theory of Fourier transformations to find the solutions of this type of equations.\n", "\n", @@ -4345,9 +3943,7 @@ { "cell_type": "markdown", "id": "af9b5d5c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -4363,9 +3959,7 @@ { "cell_type": "markdown", "id": "556c7b35", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Principle of Superposition\n", "\n", @@ -4384,9 +3978,7 @@ { "cell_type": "markdown", "id": "92aa9e40", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{eqnarray}\n", @@ -4398,9 +3990,7 @@ { "cell_type": "markdown", "id": "b8f402d9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "One example of a non-sinusoidal periodic force is a square wave. Many\n", "components in electric circuits are non-linear, e.g. diodes, which\n", @@ -4411,9 +4001,7 @@ { "cell_type": "markdown", "id": "9fd177df", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Simple Code Example\n", "\n", @@ -4424,10 +4012,7 @@ "cell_type": "code", "execution_count": 11, "id": "6f669734", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -4452,9 +4037,7 @@ { "cell_type": "markdown", "id": "b5e2da55", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "For the sinusoidal example the\n", "period is $\\tau=2\\pi/\\omega$. However, higher harmonics can also\n", @@ -4466,9 +4049,7 @@ { "cell_type": "markdown", "id": "a1b0c0c7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -4484,9 +4065,7 @@ { "cell_type": "markdown", "id": "7dbde430", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Wrapping up Fourier transforms\n", "\n", @@ -4499,9 +4078,7 @@ { "cell_type": "markdown", "id": "4da8bf34", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -4517,9 +4094,7 @@ { "cell_type": "markdown", "id": "504597e7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "The solutions for $x(t)$ then come from replacing $\\omega$ with\n", "$n\\omega$ for each term in the particular solution," @@ -4528,9 +4103,7 @@ { "cell_type": "markdown", "id": "5c9a052d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{eqnarray}\n", @@ -4548,9 +4121,7 @@ { "cell_type": "markdown", "id": "0aab235a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Finding the Coefficients\n", "\n", @@ -4567,9 +4138,7 @@ { "cell_type": "markdown", "id": "fa3b4d8d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -4587,9 +4156,7 @@ { "cell_type": "markdown", "id": "f237cfb2", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "To check the consistency of these expressions and to verify\n", "Eq. ([24](#eq:fourierdef2)), one can insert the expansion of $F(t)$ in\n", @@ -4600,9 +4167,7 @@ { "cell_type": "markdown", "id": "e45c06ea", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{eqnarray}\n", @@ -4616,9 +4181,7 @@ { "cell_type": "markdown", "id": "2301f745", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Immediately, one can throw away all the terms with $g_m$ because they\n", "convolute an even and an odd function. The term with $f_0/2$\n", @@ -4633,9 +4196,7 @@ { "cell_type": "markdown", "id": "95b54f06", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", "
\n", @@ -4651,9 +4212,7 @@ { "cell_type": "markdown", "id": "3100df86", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "and" ] @@ -4661,9 +4220,7 @@ { "cell_type": "markdown", "id": "2882f703", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\begin{eqnarray}\n", @@ -4677,9 +4234,7 @@ { "cell_type": "markdown", "id": "31a255af", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "The same method can be used to check for the consistency of $g_n$." ] @@ -4687,9 +4242,7 @@ { "cell_type": "markdown", "id": "72e28ea1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Final words on Fourier Transforms\n", "\n", @@ -4706,10 +4259,7 @@ "cell_type": "code", "execution_count": 12, "id": "2e35a7bd", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -4746,9 +4296,7 @@ { "cell_type": "markdown", "id": "3d11cba9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Two-dimensional Objects\n", "\n", @@ -4760,9 +4308,7 @@ { "cell_type": "markdown", "id": "7d580121", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "S_(i,j)=(I * K)(i,j) = \\sum_m\\sum_n I(m,n)K(i-m,j-n).\n", @@ -4772,9 +4318,7 @@ { "cell_type": "markdown", "id": "66475f90", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Convolution is a commutatitave process, which means we can rewrite this equation as" ] @@ -4782,9 +4326,7 @@ { "cell_type": "markdown", "id": "ec39bb10", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "S_(i,j)=(I * K)(i,j) = \\sum_m\\sum_n I(i-m,j-n)K(m,n).\n", @@ -4794,9 +4336,7 @@ { "cell_type": "markdown", "id": "126eb32e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Normally the latter is more straightforward to implement in a machine elarning library since there is less variation in the range of values of $m$ and $n$." ] @@ -4804,9 +4344,7 @@ { "cell_type": "markdown", "id": "5d359c88", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Cross-Correlation\n", "\n", @@ -4816,9 +4354,7 @@ { "cell_type": "markdown", "id": "de508f5f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "S_(i,j)=(I * K)(i,j) = \\sum_m\\sum_n I(i+m,j-+)K(m,n).\n", @@ -4828,9 +4364,7 @@ { "cell_type": "markdown", "id": "22bc22e2", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## More on Dimensionalities\n", "\n", @@ -4855,9 +4389,7 @@ { "cell_type": "markdown", "id": "44955657", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\mathrm{NumberParameters}=10^{10}+10^4+10^4+1 \\approx 10^{10},\n", @@ -4867,9 +4399,7 @@ { "cell_type": "markdown", "id": "046d8749", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "that is ten billion parameters to determine." ] @@ -4877,9 +4407,7 @@ { "cell_type": "markdown", "id": "0645f7ab", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Further Dimensionality Remarks\n", "\n", @@ -4903,9 +4431,7 @@ { "cell_type": "markdown", "id": "1b76d84f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## CNNs in more detail, Lecture from IN5400\n", "\n", @@ -4915,9 +4441,7 @@ { "cell_type": "markdown", "id": "84b01939", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## CNNs in more detail, building convolutional neural networks in Tensorflow and Keras\n", "\n", @@ -4934,9 +4458,7 @@ { "cell_type": "markdown", "id": "cddbac61", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Setting it up\n", "\n", @@ -4947,9 +4469,7 @@ { "cell_type": "markdown", "id": "5848d8be", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "(n_{inputs},\\, n_{pixels, width},\\, n_{pixels, height},\\, depth) .\n", @@ -4959,9 +4479,7 @@ { "cell_type": "markdown", "id": "0a7f0af6", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The MNIST dataset again\n", "\n", @@ -4980,9 +4498,7 @@ { "cell_type": "markdown", "id": "8be0d33f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Strong correlations\n", "\n", @@ -5001,9 +4517,7 @@ { "cell_type": "markdown", "id": "c87dd2b8", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Layers of a CNN\n", "The layers of a convolutional neural network arrange neurons in 3D: width, height and depth. \n", @@ -5026,9 +4540,7 @@ { "cell_type": "markdown", "id": "149fb860", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Systematic reduction\n", "\n", @@ -5045,9 +4557,7 @@ { "cell_type": "markdown", "id": "91117048", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Prerequisites: Collect and pre-process data" ] @@ -5056,10 +4566,7 @@ "cell_type": "code", "execution_count": 13, "id": "f5bc1a82", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# import necessary packages\n", @@ -5107,9 +4614,7 @@ { "cell_type": "markdown", "id": "6f259a8e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Importing Keras and Tensorflow" ] @@ -5118,10 +4623,7 @@ "cell_type": "code", "execution_count": 14, "id": "35de7b26", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "from tensorflow.keras import datasets, layers, models\n", @@ -5151,9 +4653,7 @@ { "cell_type": "markdown", "id": "789d2830", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Running with Keras" ] @@ -5162,10 +4662,7 @@ "cell_type": "code", "execution_count": 15, "id": "5ec2f136", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "def create_convolutional_neural_network_keras(input_shape, receptive_field,\n", @@ -5199,9 +4696,7 @@ { "cell_type": "markdown", "id": "2d7e250e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Final part" ] @@ -5210,10 +4705,7 @@ "cell_type": "code", "execution_count": 16, "id": "795b5747", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "CNN_keras = np.zeros((len(eta_vals), len(lmbd_vals)), dtype=object)\n", @@ -5237,9 +4729,7 @@ { "cell_type": "markdown", "id": "64006875", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Final visualization" ] @@ -5248,10 +4738,7 @@ "cell_type": "code", "execution_count": 17, "id": "3726f1cf", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# visual representation of grid search\n", @@ -5289,9 +4776,7 @@ { "cell_type": "markdown", "id": "e97683b5", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The CIFAR01 data set\n", "\n", @@ -5305,10 +4790,7 @@ "cell_type": "code", "execution_count": 18, "id": "2b97794d", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "import tensorflow as tf\n", @@ -5326,9 +4808,7 @@ { "cell_type": "markdown", "id": "db119cc7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Verifying the data set\n", "\n", @@ -5339,10 +4819,7 @@ "cell_type": "code", "execution_count": 19, "id": "92765312", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "class_names = ['airplane', 'automobile', 'bird', 'cat', 'deer',\n", @@ -5364,9 +4841,7 @@ { "cell_type": "markdown", "id": "63a69440", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Set up the model\n", "\n", @@ -5379,10 +4854,7 @@ "cell_type": "code", "execution_count": 20, "id": "6e45e56d", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "model = models.Sequential()\n", @@ -5400,9 +4872,7 @@ { "cell_type": "markdown", "id": "2a84a4c6", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "You can see that the output of every Conv2D and MaxPooling2D layer is a 3D tensor of shape (height, width, channels). The width and height dimensions tend to shrink as you go deeper in the network. The number of output channels for each Conv2D layer is controlled by the first argument (e.g., 32 or 64). Typically, as the width and height shrink, you can afford (computationally) to add more output channels in each Conv2D layer." ] @@ -5410,9 +4880,7 @@ { "cell_type": "markdown", "id": "a9581419", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Add Dense layers on top\n", "\n", @@ -5429,10 +4897,7 @@ "cell_type": "code", "execution_count": 21, "id": "aecbeaac", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "model.add(layers.Flatten())\n", @@ -5446,9 +4911,7 @@ { "cell_type": "markdown", "id": "01c3c46d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "As you can see, our (4, 4, 64) outputs were flattened into vectors of shape (1024) before going through two Dense layers." ] @@ -5456,9 +4919,7 @@ { "cell_type": "markdown", "id": "315779f7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Compile and train the model" ] @@ -5467,10 +4928,7 @@ "cell_type": "code", "execution_count": 22, "id": "2bab0936", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "model.compile(optimizer='adam',\n", @@ -5484,9 +4942,7 @@ { "cell_type": "markdown", "id": "8f9980e1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Finally, evaluate the model" ] @@ -5495,10 +4951,7 @@ "cell_type": "code", "execution_count": 23, "id": "6faad031", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "plt.plot(history.history['accuracy'], label='accuracy')\n", @@ -5514,7 +4967,25 @@ ] } ], - "metadata": {}, + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.7" + } + }, "nbformat": 4, "nbformat_minor": 5 }