{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Intro\n", "\n", "Gradient descent is one of the main algorithms of model optimization and also the common way to optimize neural networks (DL). \n", "\n", "*\n", "$$ J(θ)=∑Ji(θ) $$\n", "\n", "$$ θ:=θ−η∇_{θ}J(θ)=θ−η∑∇J_{i}(θ)$$\n", "\n", "*\n", ">The basic idea is : Gradient descent can minimize cost function J(θ)\n", "parameterized by a model’s parameters θ by updating the parameters in the opposite direction of the gradient of the cost function ∇J(θ) to the parameters.\n", "\n", "\n", "The learning rate η determines the size of the steps we take to reach a (local) minimum. In other words, we follow the direction of the slope of the surface created by the cost function J(θ) downhill until we reach a valley.\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "#cd analysis/ML_/doc/" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "Demo how Gradient descent works : \n", "\n", "1. Get gradient of curve (cost function), \n", "2. Then move the current value to next smaller value\n", " (the moving step is determined by \"learning rate η \"),\n", "3. Until reaching local minimum of the given function.\n", "4. Finish model parameter tuning \n", " (find the combination of parameters make cost function J(θ) minimum)\n", "\n", "\n", "\n", "\n" ] }, { "data": { "image/png": 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tqufP8CU5lFL+4Q9/+MMf/tDQ0KBWhlNLzUWj0SAIlPfgnXfe+e1vf6s+UQON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18oFpjBVAxRLpdDiCz/YGPm33avQfSvvMFbtxS37kP+WHbfbXdCjN/97ncAYBi0t6f/6Nmz29pa\nqquq1PNNGEVCiFKiZyn9E4SQQgguhPLNlt8BEIJ/zL2h1w53IbZyzTHGYrEYEgiHAoQUxMMdruwj\nXIBEvLO7L5eqefKf74bBpKMPqu51wTGRSUDq2m07DFV8CwBWrmx6+eWXGWVS0ohHqjzQNddes27d\nWgBpMKt7Q/cf//hHtXYlBUScSyB+CMyBptboT399eoOXJrFUFGBERAyj0O3OJN09Jg0bWZXJJayY\nQx2TlS+Ncn2Z0l+3QSKHynrh5qiVtltuucVgxq2/vnXuKSdddfXUhoYGAFi3bt2KD1aEUagiQTAB\n13V93494pII4nJh10003nXzyyRd/5+LHHn9s6tSpq1et/stf/2JZ1v/+7/9WVuZUAI7v+65bOPQr\nh59/3vl3/OGOUaNHzZ8/v62t5eSTT5kzZw6haNKkCUcddfSTTz55zDHHHHvssUuXLb3nnnvi8XgQ\n+oViAQCU8xMGwn+kBPhoz8VRo0ddftnlV//sp5MmTZgz5zjHiT333LPt7W1Hzz46CKKDDjrgnHO+\ndfvtt+82fbe5p8w1TXPlypULFjw3Zcq0Sy+9FGGIOc4ZZ5wRBuHcU+ZWVVW9/PLLzz33zNy53/jS\nl/ZSZVYOPvhg0zRvueXWnp6eDz/88KL/vOi4r80JSu2rSvi+393THYvHKKOYAOKoXANPNXpUBiih\nqJAvwIDOYQJBEGBMfN9XxWgK+YKUPAojKWUYhsreklICSB5xZeAq1QmCABMgkiAMbtEtZ1eXZznT\nNPOFvNrSdkwACMNQCK6eKngkv/GNb/ziF7+4/777Gxsbp06dev/996dSqX1m7vvmm2+6rqtWOnnE\nGWNCCJXybxgGocj3fdM0lLEupcQYuUUXY7q5X30TtBwOAdQFZBgGigOCSCDgCAMUvYLXG0Sc4mQy\nXXBxNln/4uLVIOlRB+V8ARLA3tkj/7yiQh7yhbxlWS+/9HLXhg7TtEEAQhhANK1aiTEFkIyaVdVV\n+x+wPyZAJfX9UJkpkQTE4J0m8ZfH/pHn8QBbQlIEgkahCLtHVhmTRqXrs3Z1yko5jmlTxCiIUsO/\noVZ8dDtAMLnpppvmzJnzwAMPPP3M0wsWLACAysrKI4888qSTTzpl7inqnMRj8d2m71ZTW6OCaaWA\no4466pFHHrnhhhteeeWVJ5980nGcY4899vLLLp++2/RyYc/Kysrx4yf++je/fvGFF3/4ox++9vpr\n8Xj8Rz/68VVXXaUqoSAM99133/e///2nn3r6om9fOHrU2F/f+mtmGN/5zsVVVVUAQCjKZDLjx4/P\nZXOwpY4WBJMrr7xy5KiRN9xww2OPPR6LOXvsscdvf/Pbww77igr6/e1vfjt16tQ777jz7rvvZoxV\nV1f/5Cc//Y8L/qOqugIAEIa7/3T3VVddddtttyGEqqurr7j8J5d8/xIYqDNXU1t1++233/irG//2\nt79ZllVbVytFKfayjMGMWbNmZTNZSqiqcxaGPJ1OT5s2bcTwEeU6bQAwdepUy7Js21ZaW19fP2rU\nqMrKSkap5wY1tTWTJk4ZNXoUoSgIJKOUR7KysnKPPfYaMXKEqo2QzqQnTpw4bNiw8rdPmDihs6vT\ntm0YWBVmjE0YP2HihIlSSsqo0tpJkyZNnjyltq5WShnxqLqm8u577p43b96bb77Z2Nh42KGH3frr\nW2+77ba+/j5VN45QVFFZMWnipFEjRwGA7ZhhyAmQadOmdXZ2Koe2MqCra6onTZo0ZcqUrV9p6N9a\nF90phGEohFi0aNHs2bOLxeKFF144b948QgildKh3NP23kFJyKd3QLeb9/q5ia1v/8rWdTV3B+pCF\nLB1xgwc8HY+F/W37TK87ZfZw4RVTFgEwtIm43SkXgfTc4LzzL3jowYf68z0DldTliBEjJk4cP3r0\n6EmTJs2aNau6utq2YxUV2YF+s9CVlx8W0B/+8nxHHzFiWc45kmByMGQ+6WyYMbl2fH21Y0I2EzNt\nQxgmABhAqNyCFn4RbgDPDYIwUGU8iwWv6BYBwLEd0zRVeAXBRLkoy82BAcD3QymkZRueG0gpi24R\nI5zJpsrbhCFXghdxLoRQDYF7unuyuawS1HLVTTVZ9/cXent7q6qqBBeEElW9uvx1btFXJs7mDB5V\nR0eXaZqMsvLGKuNCVdQMgqC7p7uurqbcfb4cBaoquHZ0dCqNhIHarWpLISShqKurOx6Pq74cWyzO\nOXgkm7yjntVUhoM6M+or8oWCaZqUULWZWm0tF4Erb1k+fLUBDCqxrS77fL5YLs8LAw+U8NGnB/Vm\nuc542cLu7enHBJd9xZscXbmiabHg2baFMCgXtxOzBp+lbVlK19bhkEEZB8xgTgwzgYkEy6ZiRXOw\nvtgTQBAkiJXqzvuOlX7+jaXdPa3fOO5LiS35yZT7/IswjW4XpNj0JKqbdumypYsXLz7xxBMf+/tj\nADBxwpSGhobJkyc3NDRMmz4llUpwHqZSqTDkjDGEZBBEmDIA2FCEFc39f3nmtXyYIPG0GwKByJSh\nJTxLdu81sa4uZ8cNyKXTpokQowEAAEZDtlvhp8eyDcMwwpBjhC3Lsm0LSnFMpUf58kxXPkVBEKkn\nD2V+EUpyuYzqnaQKQGMCjBHPDVTMISVUzdrVNZUqvZ0LXq5Sotx3iUTMsR2METIABmZhTIhSLNsx\nS62dVOrFZjeY+urKytwmb5omA5MBgO/7zGC1NTXK6YfJQOsGxjw3sCwTYaioqFCfklIyyuTALM8j\nDhHJ5TKqa0QYhkEgN5dnKaXgGwNfPTdQCYilxA8O5WAldTYQhngspvoAlw9BhKX+xoQiSoiKeLIs\nEwYeE5UQlkULY8wjGY87g1e10UCCpLq/lKwi1bUu5ACgVFkF5qiS4ipPVD39qF9QPQoo07ashepb\n1EWivkiNELZ0L2+ClsOhBAEEiGGKiIOk5BxHk0elTdrW1NbbJu3+MAIKRYiMZPbVD1rdB1+de/TM\nuiQkGQCA50aGTQGEkkItiv8KKUAIiTFCGIIgUt12pADX9SijhkHDKPrxj398/fXX53I5x4n98pe/\njMfj6XSWEMIYIZRwHiIsU4mE41imHctkswYlXCKJoQfgnXVw/yNvRtgJsOFxIUEwArLYU53mk0fV\n1GadXCqWSiWZxTBFSGCDEAQwxKNEPxVSAEJAyUfOAUKgBGNwuGl5siv3SFLNg8qvDUJhUJ8jJQYY\nCAAYmKmZFGMkRenrShbMQASpmt9LvoGBIZU7LhGKtjjhKoHcpKy2YvCb5RlcSUv5swh/5BBgUBen\n8mDKV2mp1M7A9puwiclY3mxw+6eBvw5EQeONf6qdb3LCyYDSlDqNyI+cq8Hbb1GK1JuDt2ED49jY\ngkoAAJimUf5dYOCqKP9r6SFp4Bcc/F3lkXzsIrqWwyEGAYQJRQYAsjlwQBEBD2RedEpeLBYFRAjF\ncxXMNFd8uOH2v75w5pz9x9cABpCUSgmASg2ltBBuhXLSsbIkEJRyyyihd9997xWXX7F23Tohonw+\n39TYeP4F/9HY2Oi5AaWUMkwJJRTFYqYTsyilhJlRxH3fRywmTXjynx8+MP8NK17LsMkRxlIQFCCv\na1SNNaneqkrRykwslUratkkpUWnKW/SRaj4l2xh/i9DHbLnJv25lxv+CsB2v1c8+RlrL4dADIaQK\nCarmiAAQghNgHzrynQVZjFh/Z+QkE5BON/d03vHoS8cfvu+MkUAYSAlIIIEBQA6RPj+fKer2e+bZ\nZy+44IKvfe1rP//5zw2DhlFoEgYAKz5YccX/veLhhx8EQBiTGTP2vPDCCw8++ODuDd25bE4IQQhh\njBFKGCOUYsqwFBIhQg0jAigE8MhjTf944wM7kwsJ4oCxxFRGluivz/Dxw8xRwypjBkql04O18IsZ\nO6MpM+Tu0iE34MFoORySlBVRIYBGoh9DRKXXUYiEYfqBz4kEK/Fhb3D33/7Zts+EQ/auMgEIUt5S\nPcVuAVW18vzzzm9ubn7ggQeuuOIKhGxV32vevHnXXnOtKvKUy1acdfZZhx9++IjhI1TTUSmR4ziU\nUsoowQghkFDy2viRNABa2uGx595YvLwTrHREcCQFRoJBZIn+uNgwZWR9TZo5Joo5dlkLYbOcCo1G\ns0PRcjhUUYpYbk2CkKRYWBSZnX5zT6dAdsQYl8ROVvZ5hb89++769tFfnz0qDeBHYBDYalPoLxCl\n6s8CVI3/m27836ZVKwHg+K8dr0IZ//KXB6+66qoVK1Z4XhEADjzg4AsvvHDK1Ck93T2YYMd2bMc2\nDKNc/0ktfCDAnhsZFiYmer8Z7n/oxTXtBZmIScswGTOEhJDTqGdYhu85cWxVzKjMxCsqEwIJlW6v\n7cLBfAKD42M/8mmMmB1kAP1bu93VjLAdMZ7P/hi1HA5hEEIqLg7UcjFSvnbBgbcWfIkMTMwgEDyi\nguVefm9tv9d33OG7DUtAGAKjgPVsCyUtVNEK7es7f/7fP0eI1NXWnXf+eW+99c6111x7z71/wpgK\nEY0fP/Gss87aZ599LMsqFArDhg1LpVKGYZgWQwgBRAAAgDmXCAgmYJlUIFj0Tv6Bvy3krBonE5Eh\n/NDjvmeBiBE+siY2cbhVnaJV6WQuk8BUlRnTWqjR7By0HA5tyoqICEkDBhCAAzAk7uSteSgCQsRc\n31fgtsPs7Htr+tfc9tSZx39l7xEkFDodEWBQ7HUQRNddd92Grg0AcMaZZ9x///033XhT14ZOhIiU\n8uSTTzn77LPr6+s9N0in0wjLTDZjMGOgKkc0qGoM9twAATMY+vtzS557s6Mf1wCzQgKEoshzHSSq\nk6TOEVNHJetqUjaDioqkYRIBBAAQEK2FGs1OQcvhkEcpIqYGIIEgBkhQI8DEJ0S297udvfnqXK43\n4ti0gRv9RfjjX+av3XPiUQePBglUhZiWJl+5SReMXcwfs0NQPtIgiBobG2+//fYwCkzTevTRR1d8\nsCLiEUJ4zz33/Na539p9xu4EE8FFrqqytqaGC0EJ4UJIKYTkAEKCkJgAMjgAxIyObnji4WeWr+rz\n2GhsZkMIoqhoEmKjoDqFJw9PTqi2cjHmWCSdSti2KQGwOt86jnQzPjZdTKPZLmg5/DyAECIgbcPG\nEqQgJuMWLaTM3g+7AhH4XYUO00oCMC/ihCXzwnh2cXNLR3jovhPG1QOUZI9zCCJACErJT1gCIMAA\nMLhs0VCbqcOQU0KURzQIw7bWthEjG2BQjrBKvTIMev3113d2dQKgKOJLliwBEOPGTTjzjDPnzJkD\nAEEQmDE7HovnqiqBYEoxADBKEBAJEQAKeYCR7QJggAVL8i++8lZba5+TrOE4JrggHJIS4+KG2hSM\nbGDDKkQ6QRK2mUwmHNvCA25ugNIZ1pP/5qhk6u2liyrFWxW14RG/9757Z86cOXnyxE1SxbdlVFzw\nu+++e8L4Cfvut496s1y0SDO00L/Y5wSEEMbYNO1YLJFKxKoydkOFOSxHp4zONaSZEeWjYi8G4Ah7\n2HJx8uX31v7uvn8sWlL0JUQAkeQRIAEYALAELAHBZlo41FClLoIwDEMuhLz00kvHjB377W9/BwCE\nFADAI9nXly8WvLfffvfee+5Vn+I8AoDJk6eeeuqp8UT8wYceXLx4cSabGTF8eDabMQxanuaEBIkA\nISIQs2nKBdxShD882/TQc282F5BRMTovWL5YiLwexHsM6KnNwLgR8VF1ieoKJxEzk6m441ilyh07\n4/wMFRCG/v5CR0dHvlDYXvtkjGCM8vmiEOLPf/7z2Wef9d6776liK/8WhCLDoD+7+mfHHntsuYWh\nEEP5tvkCo63Dzw8DimiW42siMOw4YMQRiPb+0OU4xFTiwEfAKmo2+O4fHn7pneXVJx47LUsMDiCF\ntJBEGytekJI5ONSMQgUlpFwm9P9eceUNN9wgpXj33XcBoLe3N5vJAoAKH71m3jX5Qt9gVWpqavrp\nT690nFixmMeYXnzxxddeO6/o5hlwkCDUjSMBOEiMOAIX4P1meOjpVz/sdM1ELswHfX6IuaQisFiQ\niLnVOVJfbQ2rciqS6bQTTxjUsazBVUK0Iv4rpICf/OQn9993/z333nPQQQdsr90iDPG4EwTRVVdf\nNXHCpK8d/7VPsBNV6vPyKy4/++xvPv7E4yecsHEn5dtIm4lDBS2HnyuUIhJCVIa+AEx6CzxrMEJT\nvXxlW48vjUjiCAyOKNAYweyFt1c3d3542IF7ThxTmWIIxOfH14MwYIylgN//4Q///YtfSCkqK6uu\nvPJKAKioyHpu8Oxzz7722muTJk667/77PvpR6Xkeo0axmEeICBHZto0xTsQTQggpI8AgAEuE1Yzn\nA9z3+Oql67p6PcqsCt9FlBpURBYNDOklrKhhmDWiIZmK0VwqnnLiSStuYSBkaD5lfOYgDJ2dnevb\n2/P5/HbcrXpUevGFF5ubm3/yk58wRoIgwvjfmxIpoa7rHX3U0YQYN9140xFHHDG4ULVmaKHl8HOI\nlJIQkkgkEvGUiTdYJB+3iumESMSspWu6NhQpNbNFz6eMmiaNVdWsbu96cP670yfUf3nWhKoYII8n\n4tbAvgb+HIJTtxRAMHll0aKLLrqI8zCZTN16660TJ0xcuPCFx/7+2Pz5899bsoTz4JivHnvJ9y5x\nPXdwdxfHduKJOGMsHovbjn3kkUcGQQQAlFBEaQjFvB8ZZrLfhaZV/NkX3mnr5x52QkxBYIojxyCU\ne1H/+oZ6q77Kqa3OZjNOOm7HbGZQBKKImSXg45pzawZglHEekm3pSrDNUEKDILrv/vuCIDjkkEMA\ngEecUSplqUcEkqVq14KDlBu7KJQXnnkkC8VCMhmnjB544AELF/5zzZo1U6ZMElJs36FqPhu0HH6e\nQSBymQQj3DA8xkTCiTkGWbauf21Hh0PSGMW4EAIxM1FfEN7rS5rfX/bBUV/+0vRJ1REHLCDJAKEh\nvHwoJXyw4oPjjz/edQuW5Xx19ldff/31q6+6+oMVH7huAQBM06bUnjRp0vkXnN/d3d3X11f6oJAI\nI8uyEEKWZTm2E3NiACAAfBlQMAU4yIS2Ajy7cMk776wvBDaJZTiiIDGgKPL6fc/NJlD9qGxFMqir\nMrNJKxmLJx2bmRRLQZCqnLAzT84QYgfVriQURb584YUXcrnc6NGjVSOF9evbN3RvGDZsmPKi5/NF\n27Kbm5v7+/snT56syhIhhBCnTauaCoXC9GnTVPvA2UfPXrjwn++9+96UKZN2yHA1Ox4th59nJAJi\n4TRLGAY3CZDeglkdi9msMl1oaS3kg9CLHF8STCjCJsj0Bg/f/vCCKUtHHrr/l0ZUIywhrnLgpAA5\n9Cq7dW3oOumkk9raWk3TFlw8+NCDnldEiDDKHCc+cuTIvfbaa85xx40bN66np8c0zYpcqZOcathG\nKQ3DkDFGWek2kViELGRgdkaw+N32519e2uvTAljEsQEDAoFRRGRgWkHW4KOrrTG1MZt5FclYPGEl\nYrZlOQiBEFxKQUC7SncmqkPQ2jVr33//vS9/+SsVFVmlfAsXLjx57onnnPOt3/32t0EYqpaKc+fO\nffPNN1997dXp06apzoJtre3jxo3Za68vvfbaIhlJAJgxYwZGaMGCBSeddOLOPjjNJ0TL4ecbIZAk\nlMYzGYOQyur65o4uRAuOQZJErlzX21XwA7AiYhrMoSxpx5IysFesL655YP5ek8fuv8fYhkqIIyAI\nb8VE/IjHr7zdzpvsy60+L7zwwnfffduyHISQ6xcgxKlUZuzYsePGjT/00K+MGjmqqqoKM+I4CYpw\nNpsetDSFMcaU0qKbJ4wxZnIEHFiIQIK5sKn1hVdWfNDYS2NVYCSwJQQXNPQNKQFFFIo1KTKqJj2y\n0koaQdxOJBPxRCxhmZZajZWIAGCQaMg9Xmwv/t1khh0yBindYrBkyRIAUE3SlTv0qKOPiseS/3ju\nHxu6u3O5DAC8//6yxW8tpozec/c9u13zC8EFAfLsc88C4K8dVwqckQIaGhoA4J133xnciFEztNBy\n+HkDISSlLDUhBQKCCwAkCYtlhOBVuQpqWBbtMcCxKG/p4d1F+WF7DwEUhaTgcmmZiNBApl96p71x\nzYYZ04bPmllTTYAAIAgQMAoIADgAQAQgcLmDYkkWMQw0Td1Z0z0XHCFy6aU//vOfHwBAnucCAMbU\nNM2999p79ldn77777ul0mhpWFIZJZlvUMh0bAKdSGYqxam7HQwgFEEYlxoEQhmMBhtUt8qmX3mre\n4LW1C8RqBXL8kAMWSQubfn8McYvyTJKMGpaoTLOKNE06TjqZYdRkjEmJVVnvUou8IYtqeyuEQAgR\nTEqNVSVIKbngSgkooQghTDZm0KtnFNU/9iNisZOkESGEEFJyOGH8hCCIlD/cMIxZs2Y9/czTy5Yu\n22effQDgxRde9H3fYMbjTzz+s5//DADCkD/7zLMA4phjjlGeUh7J6prqWDy2YsUKz/MI1QuHQxIt\nh597MAColpyYEgZRNhGnUtgMHIPEbPfDrpByc0PB55LFE8luv48DE0CJydZ1da/9x+JXl8cP3Gfi\nzAmVcWxYAB4ALcXWqKKnEQAIwAOKiHdubobvh5TQVxYt+s1vf8PoxiaoEY+EEAsXLnzm2ady2cqR\no0Z+5zvfOeKIIwxmKHcowWSjOxgDYaq/qxUC+Bw+aAnefLvx5deWhWalJClm5wQCRAQVngjyPPLT\nFq5JWFW5RCZpNNSlEw5Oxg1GkGPFQWIEQzIWaTClRqwSpJQYYUxwufM7DDTjJR+dT3q6+wrFQnNz\n87p16xobG5ubm5cvW44QevzxxwFAfVhJ4055PGCMRTwCACfmGAYNQ+77ke2YRx191NPPzH/++ef3\n238WADz+xON1tXXTd5v+9NPPrF27dsyYUe3rO5948okpU6ZNmTJF+dUVMSfW3dNdKBY2aXmvGSpo\nOfyioB6HVVuoZDIed2jMduNOYJtuQ42z5sO+9Z3FftdPICsQEMlASsC2zaWzpiP68+PLX3np/S/P\nmjp1Qg4JSDKwABDgUl0xEACYq2upPD8CwM7IpTNNxiO5+267L3x+4etvvN7Y2PjW4reampo6uzrz\n+bwXeBjT7p7urjc6fvnL//768cdSSjAGhAWAUHatRFgAphQ4QEcBOvr584veWdrU0d0rs9XTZGAI\njiWPDOwbwkWoYNBCwhRjajPVqVhVRTpus4psymTIoJggxDknBKTEm8z4Qy6NRVX2waqu6gBKI8Mo\namtta1rV1NbatvyD5W2tbY2NjS2tLe3t7f39/WEYmaaRy+Vy2dywYcNmzJhR+qyUgwX1M4YLzhgJ\nggAAqyhQgokgAgCOO+64n/zfnzz66KM/vuxHvT39CxYsOPqoo2d/dfZTTz21YMGC4cOHL1u+rK2t\n5bTTTttk8ISSKIx4xLf4jZpdHy2HXwjKs45SRAyCOJZlmpYZmYbfscG3hmeyCda8vn9D0fUkC0B4\nEhFgQC3TsKOwsK6r8/6/v/LcC8aMqWN3nzyqLg0D2VUUD7hLy36vnTjVCw4Yo64NXUKKGTNmTJ48\n+SuHfMX3/UKx0N7evm7duq6urqbGppbWlv84/3zTNMv10SRggahAIAEEQAiwdE2waPF7S1e1+BDr\nCyxpW32eJIgQAEI4A8+GfMzwKzJ2VdaoSBvJGM4kSDJm2iYhSGK5c8/E9idfKHR2dq5du7ajo2Px\n4sVK9lrbWteuXasetjDCuYpcZWXliOEjxo4dO2nSpJramuHDh2czWSfmJJNJKWUyGf8ExV+2O8qp\nyyOOEHI9Vym9SVgQRKNGjRg+YvjixYt7e/pbWlt6enoOOuigY445RojokYcfOeubZz388MMA8NWv\nfnWTJcIojCij5cArzZBD/3KfQ/7VI7eaApAUhFApODWsZExIgUzTLHpRMga5FFvT2ttVCDp6Ahkx\nZtieJAHnmDFJEwGnLT28+6V1b77ZNmVc/ay9hjfkIA7gCcwwBGFklyYCyUEgZWlJBJ+tJaTWqypy\nFRjjfH+eMWZZVhiEMS9WV1e39157E0qklJZlxR27ry+fSqWU09eLwKbgAfSG0Liq+OobK9dvKLR3\n93Ic59QgJiOMgvRE3mcAlBYyMV6fsSpSsZq0mctY2YxpGsQ0TWZYhOCSEEqMEBbys4gi3aQGiqrJ\niQeaeCknp5BCvVlezyun0w0uvdC9obezs7NpVVNzc/PKlSubm5uXLVvW3Nzsum6xUMQE27ZtmmZd\nXd24ceNmzJgxevToqqqqESNHVFdXM8YoocxgtmULKYqFYqFYAIAgCHq6ewglnuvlctvkS+SRjHjE\nI+7ELCklAArCQBXeU39u8SOl9lgY3nh98YMPPXjZjy9zYpZas/T9kFGGEJSjXSorK6XkYRAiDEEQ\nMUoNg0oBp5122qWX/ujV115tbm4mhM7cZ6ZjO7vvtsfCfy7s6+tbsGBBOp2dMmUKJoAJAQCMked6\n+UI+k84ghMq1kDRDCy2HXzgkKgmVlEANFktiI4hMK3QsnEpaloU6erx0Iuju510FF4kAcRZKyrEh\nsEEM7Edhy4Z8+6uNi5eunjimevyI3KQJFWkTEKMuAAZBgG9cgtsZIAymaWQz2ZgTKxQLGGG1wMMj\nHkah8mWpRSPCLMDI58AReAJa+uCVN1e/vnhJbyFCNAHIBqNCCuBCCp+LwCVS0IgnEkZlGufiqCoJ\nVSlWk07FbZI0DGZQZpgSYylBINgYUvRZHbXvh2iQ/1FIgSQpRzlijDbJDe/o6Ojr62ta1dTU1LR0\n6dL29vY1q9d0dHZ0dHS4RRchZDt2Mpmsr6ufNGnSVw75yujRo3MVudqa2kw2U1lZSTBBCGGCwzCM\nwigIgjAK3aKLMEJF1AM9AIAxJphIKZnBKCn9rzTgj/OTEop8nzsxCwAiHhnMSKfTSgUp2XggUoAQ\nMuKRCu0BAN8PpJRvvPHG7bff/v1Lvu/ELMOgAGAwFnFe/vhAOChuampSFRvUDsMoOuiggwxm3n//\n/evb1g9vaBg2bBih6OjZR8+bd82jjz66dOnS2UfPrqjI+n4ohTQMAxPo7e3N5/NjxozJZjKwa0TP\nav5dtBx+4RCAJAJAiEsAAGIyxBgymWmGphUihOKOWZHt7+gtxjuLPf3Q00f6A6dA4xwziaSglKVs\nw6Q9rvfS8vyCtxrHj60dVZ+bMXn4mAowAEvAnBctYmOx06JHlCJatmGapoqBBICIR1EYRTwKw9Aw\njGQyaRg0BOgpwrvL+95Ztmp1W/cGNwjASaYzHLjgICMCEplSIMEpAUa96ipamebVWSNpo5pMImnE\nU1aSYcNRYTsCIwmASwG3AABIIgTwmZyKf2GRoK6u7ra2tsbGxrbWtveWvNfa0trY1NjS0lLIF1zP\nwwjZjl1XW1dVVTVu/Lj99t9vwvgJdfV1tbW1lmVV5CowwYwyTHAhXxBSCCEEFxu6NigtRAj5vk8J\nNU3TNE0rZQGAlFJKWdY/9ThCMPmoHJbWI7dIGPJiofiPf/zjoIMO6u7pfv7558MoHD169GArVgpQ\nFWQIRYSWjl0KME1DCPmtb537f847NwgiFdTquYFpGmWbUl0SkyZNsizrrbffijhnjAgOCIASOmvW\nzDFjxvztb3/L5/Mnn3Syyrg48sgjb/zVjZdeemkQBKeceopb9D3Pi8VjStYbGxuFiPbee2+EQfAh\nHTv8xUXL4RcUAYCQypcAgsEwKFBkUAJCWibEoygeQyblvbboMaAz77cLXBQs5BwQo3bM9cMIWcQ2\nMSNL13avWL3+hVffGVGdnDZh5PRJw3NxBwDwQKSmmoEwDOqSgTYOAwb+9RMcwlaQCLAo9W8SHPpc\nHzPLcIhNoK8fnDh09kHjsvYly9vWtHR3dBcENYSRsNPVFNH+wMUkZBgRCgxzcPuTFsqmWcpJVOZw\nIiEr0lbCMaoyWROZNolhRECWKnoDBkAfadn0mdHZuaG8nvfee++p8JaWlpa+vj61sIcQGjZsWFVV\n1dSpUw855JAxY8ZUV9cMG1afTqVr62phwJ0eBIFbdP3AB4B8Ia+0TQoZRqFhKCuYZpyMsvxKZ7sU\nF4MQRhhjVUReClV8B2GMAYBQUm629bGJeYwR13W/fuKJnEcGM4LQO/PMs+rr6grFYjzuzJt3bTKZ\n7OnpuevOu8aMGXP99devXrP6yiuv7O/vv+g/L/rW/zmHYPT008/e8Yc7fv+H3wdBcN7555122mm/\n+93v3nrrrYMPPvjaa661HRsAGhoaDMNoamoSQgxcp4AJCA4HH3zwrb++FWN80EEHKQN06pSphJKW\n1pZEPHHggQcSSuKJuNLXMORNq5oAYM899lQmo2kaWzk6za6JlsPPOZu7pMjGTMGP/vyYmBYxKfPC\noFjEFjMsxNw070sXO/OB09vd5crePPJCMywGiBjEQEIITLDtZEQUFcNgTSdral07/6WWYbW5MfXZ\ncSNzI4cBAcCg0hYFA2ELBBiX9RApYd5s2GUX30fGLwEGGVpyYA+qkJwAiAC4kFJKjDESEqKIIGQw\nigkYcdMF6A8h8OHNJW2r1rY1rW0NBZXEEWDJhBMJiAR4noupYVAIo4hDQEQQt3EuAZVxY1illUka\nqXTMcZgTsxzTNhkjhGCEQWwcjZQgEYDEiEgAKJvIUkLZSAIAyUvmURmVz1c2X9QUzAWnhJZ9nGo5\nbX3b+s6uzqampubm5hUrVrS0tKxcubKtta2vrw/hkrO0oaGhrrZuzz33nDNnTkNDQ31d/fARww3D\nSKVSSsYoo/n+vJBCmXGtLa3K2qOECinUlmXDTmEYxia/iHrNGMMYK6nbFtCgAkf/6iM8kpWVlbff\ndtuf/vSneCI+Y8aMS753SRCGyrh89513777nT6effsbVP7v65z/7+VFHH2Xb9qWXXvruu+/+n/PO\n3XOvPadMmbJ27dq/PvjXO+68o+gWn3n6mcf+/tj5F5x/+umnf/2ErxNMbv31//b29KczyeOOO+6u\nu+56/bXX99t/Fhdc/T5SygsuuMDzvMrKyhNPPBEACEVOzPn1rb9+5tln9ttvv1w2B4OuUozwo48+\nCgCHHX6YwVgYRYMPVjNU0HL4RWQrdyihyMbMMjLxIMjEw2Kx2GfjeNEzk6gzH3T3Rb2F8MOOZoFs\ngahp2VIQkJQSW2DHFxBiu9fnvc3Fpas+jL/KE3Gjvjo1eeLIdIJW55yciQUGJkEgEAJCIQFLhDED\nMGFj0oYEuUnCxuC/qBmID2yMB+QwAuAAEiMJKAKQgOImCwX0FaDgw+oNfa2dvU3r2trW9/T0c0Qd\nbFQjZvpcCgEAAhERMw0pQhmFSPpE9qVjNJdwKmyUtXDGJrUZI5mw44mEYVuO7ZQjUMQm/T8Gqs38\nK/unnGCw+USJES7nrSMMa1av6e3tbWxsbGpqamxsXL9+fVNT0/r163nEi24RAGJOrLautqa6Zt99\n962prpkwcUIqlaqsrEyn0qlUChOMMcYIA0AQBL7vA0BHRwejzDAMQgmPOKGEUYYQsm2bUMIYG0iu\nx+r1R68NVUIADR4wAGzHrryDiXh05jdPP/ObpwNsTOcPQ+77IRdixow97rrrjjDklmUdc8zs9957\nf8qUSQBzf/Ob3yxevHjq1KmZTDaTyVBCEEa+7593/nk/+9lVAHDlT6+86867YEDMZh89+6677nz0\n0Uf323+W7/u2ZQuOEEJTpky5/fbbBh8XQmjuKSeddNJJ5XoCAEi9yOfzL7340qxZ+40cMaKvrz+Z\nTGz/06HZ8Wg51GyKcm2ZpmlZFmOMEMJMLx5LVicLvem+7nyhoYJ1dXsbNkT9+TyQhMCOwCLEGBOM\nGTYIARBUZjkWa7o6Wze0v/DmqlQ8VpmrSCetYXWZyky8oTZWlQYHl7yKIXDOJQGk4vQGly/bguEI\nwAGELHXfBQCMgA7YoD5AAFAMwAvgxRVeR1ehpbl9/YYNfX4hQhgwAxQz05kwgkIgRIQEAUwQkYLJ\nkLsuRZGFpIHchjqrImlWZJI2QynHilk0HYvZtkENg1CCMdrE4/ex6eTlKMSPHIsAAFi7dl1La8vK\nFStbWluWLFmyvm1906qm9W3ri64rBI85sUw2k06na2tqZ82aVVtbO3bs2Pq6+praGtM0VddGgFJR\nmCiMwjCMeLShe0M5zTQIArWwhxBKp9OUUOXMVIGmSt4s26KEqp9erQjirUrc4E6NOw4Voqk6SKgC\nC4wRwQmlZPz48QDAGEkmk7YdGzdunDKdk8mkW3QNgwa+77puxLly8+677748khijdDotpAhDns4k\npYBjjjlm7Nhxf33wr1f/7GrVm2lju08JUcgBQEppGFTF40gpg4CXXqvSBAIeeeSRfCH/7Yu+jTAk\nk4mIcxWto03DoYWWQ80WUA/OQghKaTabTSYj1w+TRSPtoYxLXS/qTcv+HPTmUXt3kA8K+YADGJTZ\nAnAYCi8UzIkVip5ACWQwk2Z9Cc2dsK6z//3VnZQENkEmDUfW5pJxmkvZKcdOJ1PJWDwWB4xhcETI\n5vOJmqyKHGCg2k5Xl8znC729/f354poPO4uu6CtGBU+4IcbE9iLMpZXOVVIhwpCHXBZdDpgyxhCW\nQnpYeEQGTAZJE7K2UZmKpZ14V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"text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# credit : \n", "from IPython.display import Image\n", "print (\"\"\"\n", "\n", "Demo how Gradient descent works : \n", "\n", "1. Get gradient of curve (cost function), \n", "2. Then move the current value to next smaller value\n", " (the moving step is determined by \"learning rate η \"),\n", "3. Until reaching local minimum of the given function.\n", "4. Finish model parameter tuning \n", " (find the combination of parameters make cost function J(θ) minimum)\n", "\n", "\n", "\n", "\"\"\")\n", "Image(filename='gradient_descent.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Approaches :\n", "\n", "In this notebook, we demo 3 main algorithms of Gradient descent\n", "\n", "*\n", "> Batch Gradient Descent\n", "- using ***ALL*** data evaluate gradient vector\n", "- converge to global minimum for convex error surfaces & to local minimum for non-convex surfaces. \n", "\n", "\n", "*\n", "> Stochastic Gradient Descent\n", "- update θ sequentially with every loop (with random shuffle sample data ). \n", "- cheaper/faster computation, would get larger variance of the loss function compared with batch-gradient-decent\n", "\n", " \n", "\n", "*\n", "> Mini-batch Gradient Descent\n", "- dev \n", "\n", "\n", "# Ref :\n", "\n", "https://am207.github.io/2017/wiki/gradientdescent.html\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "# analysis library\n", "import pandas as pd, numpy as np \n", "from scipy import stats \n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "%pylab inline\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "# ML\n", "from sklearn import datasets\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.datasets.samples_generator import make_regression" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 0) Data prepare " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# help functions \n", "\n", "\n", "def make_sample_data():\n", " # sklearn sample data generator\n", " # http://scikit-learn.org/stable/modules/classes.html#module-sklearn.datasets\n", " x, y = make_regression(n_samples = 300, \n", " n_features=1, \n", " n_informative=1, \n", " noise=30,\n", " random_state=110)\n", " # flatten() : Return a copy of the array collapsed into one dimension.\n", " # https://docs.scipy.org/doc/numpy-1.13.0/reference/generated/numpy.ndarray.flatten.html\n", " x = x.flatten()\n", " slope, intercept, _,_,_ = stats.linregress(x,y)\n", " best_fit = np.vectorize(lambda x: x * slope + intercept)\n", " return x,y,grid,best_fit,intercept,slope\n", "\n", "def error(X, Y, THETA):\n", " return np.sum((X.dot(THETA) - Y)**2)/(2*Y.size)\n", "\n", "\n", "def plot_gradian_decent_3D_(ms,bs,history,cost):\n", " # np.meshgrid\n", " # Return coordinate matrices from coordinate vectors.\n", " # https://docs.scipy.org/doc/numpy-1.13.0/reference/generated/numpy.meshgrid.html\n", " M, B = np.meshgrid(ms, bs)\n", "\n", " zs = np.array([error(xaug, y, theta) \n", " # np.ravel\n", " # Return a contiguous flattened array.\n", " # https://docs.scipy.org/doc/numpy-1.13.0/reference/generated/numpy.ravel.html\n", " for theta in zip(np.ravel(M), np.ravel(B))])\n", " Z = zs.reshape(M.shape)\n", "\n", " fig = plt.figure(figsize=(10, 6))\n", " ax = fig.add_subplot(111, projection='3d')\n", "\n", " ax.plot_surface(M, B, Z, rstride=1, cstride=1, color='b', alpha=0.2)\n", " ax.contour(M, B, Z, 20, color='b', alpha=0.5, offset=0, stride=30)\n", "\n", "\n", " ax.set_xlabel('Intercept')\n", " ax.set_ylabel('Slope')\n", " ax.set_zlabel('Cost')\n", " ax.view_init(elev=30., azim=30)\n", " #ax.plot([theta[0]], [theta[1]], [cost[-1]] , markerfacecolor='r', markeredgecolor='r', marker='o', markersize=7);\n", " #ax.plot([history[0][0]], [history[0][1]], [cost[0]] , markerfacecolor='r', markeredgecolor='r', marker='o', markersize=7);\n", "\n", "\n", " #ax.plot([t[0] for t in history], [t[1] for t in history], cost , markerfacecolor='r', markeredgecolor='r', marker='.', markersize=2);\n", " ax.plot([t[0] for t in history], [t[1] for t in history], 0 , markerfacecolor='r', markeredgecolor='r', marker='.', markersize=2);\n", "\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# get sample data \n", "x,y,grid,best_fit,intercept,slope = make_sample_data()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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WVi4ez0l8Pj9tbWeR0oTFcpiMjE/w1lvHqagoxmIxY7EI3G5vrI4VJDYNHe46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\n4xIOHdpKo+6l5dJ9DEgfLf011LXW4PFcxsyZ2fz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# visualize sample data \n", "plt.plot(x,y, 'o', alpha=0.5)\n", "grid = np.arange(-3,3,0.1)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title('SAMPLE DATA')\n", "plt.plot(grid,best_fit(grid), '.')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1) Batch gradient descent" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "\"\"\"\n", "pseudo code of Batch gradient descent :\n", "\n", "for i in range(loop):\n", " params_grad = get_gradient(loss_function, data, params)\n", " params = params - learning_rate * params_grad\n", "\n", "\"\"\"\n", "\n", "\n", "def batch_gradient_descent(x, y, theta_init, step=0.001, maxsteps=0, precision=0.001, ):\n", " costs = [] # value of lost function \n", " history = [] # to store all thetas\n", " preds = [] # prediction\n", " m = len(y) # number of data points\n", " theta = theta_init # start from initial state \n", " counter = 0 # after how many loops to get preds data \n", " oldcost = 0 # last cost (relative to currentcost)\n", " pred = np.dot(x, theta) # predict y with hypothesis : y=a*b \n", " error = pred - y # get error (real value VS predict value)\n", " currentcost = np.sum(error ** 2) / (2 * m)\n", " #currentcost = np.sum(error ** 2) / (2 )\n", " preds.append(pred)\n", " costs.append(currentcost)\n", " history.append(theta)\n", " counter+=1\n", " while abs(currentcost - oldcost) > precision:\n", " oldcost=currentcost\n", " # get gradient : \n", " gradient = x.T.dot(error)/m \n", " ###### update thetha : θ:=θ−η∇*J(θ)\n", " theta = theta - step * gradient \n", " ######\n", " history.append(theta)\n", " \n", " pred = np.dot(x, theta)\n", " error = pred - y \n", " currentcost = np.sum(error ** 2) / (2 * m)\n", " #currentcost = np.sum(error ** 2) / (2 )\n", " costs.append(currentcost) \n", " \n", " if counter % 25 == 0: \n", " preds.append(pred)\n", " counter+=1\n", " if maxsteps:\n", " if counter == maxsteps:\n", " break\n", " \n", " return history, costs, preds, counter" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gradient Descent: -1.29, 66.81 59\n", "Least Squares: -1.29, 66.90\n" ] } ], "source": [ "xaug = np.c_[np.ones(x.shape[0]), x]\n", "theta_i = [-15, 40] + np.random.rand(2)\n", "history, cost, preds, iters = batch_gradient_descent(xaug, y, theta_i, step=0.1)\n", "theta = history[-1]\n", "print(\"Gradient Descent: {:.2f}, {:.2f} {:d}\".format(theta[0], theta[1], iters))\n", "print(\"Least Squares: {:.2f}, {:.2f}\".format(intercept, slope))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": true }, "outputs": [], "source": [ "#plt.plot(history)\n", "#history" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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0tKQHJN0v6Z5ctqWk2yQ9JulWSQMLjr9Y0nxJc/LT66zAXnulBxYNGAB77gl/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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.xlabel('eopch')\n", "plt.ylabel('cost')\n", "plt.title('BATCH GRADIAN DECENT')\n", "plt.plot(range(len(cost)), cost);" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "#history" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title('Thetas Plot')\n", "plt.plot([t[0] for t in history], [t[1] for t in history],'o-', alpha=0.1)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# fitting process in 2D \n", "# dev " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "//anaconda/envs/g_dash/lib/python3.4/site-packages/numpy/ma/core.py:6385: MaskedArrayFutureWarning: In the future the default for ma.minimum.reduce will be axis=0, not the current None, to match np.minimum.reduce. Explicitly pass 0 or None to silence this warning.\n", " return self.reduce(a)\n", "//anaconda/envs/g_dash/lib/python3.4/site-packages/numpy/ma/core.py:6385: MaskedArrayFutureWarning: In the future the default for ma.maximum.reduce will be axis=0, not the current None, to match np.maximum.reduce. Explicitly pass 0 or None to silence this warning.\n", " return self.reduce(a)\n" ] }, { "data": { "image/png": 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Mx1PG0dEharUGtVp18m+18t5UnE4P3377ApUKGhquVvRc16T2T5HMcno5wul0Oq+9yeJl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# fitting process in 3D \n", "\n", "ms = np.linspace(theta[0] - 20 , theta[0] + 20, 20)\n", "bs = np.linspace(theta[1] - 40 , theta[1] + 40, 40)\n", "\n", "plot_gradian_decent_3D_(ms,bs,history,cost)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2) Stochastic gradient descent" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "\"\"\"\n", "pseudo code of Stochastic gradient descent :\n", "\n", "for i in range(loop):\n", " ### SHUFFLE DATA BEFORE SAMPLING & get gradiendt (avoid bias ) ###\n", " np.random.shuffle(data)\n", " for sample in data:\n", " params_grad = get_gradient(loss_function, sample, params)\n", " params = params - learning_rate * params_grad\n", "\n", "\"\"\"\n", "\n", "\n", "def sgd(x, y, theta_init, step=0.001, maxsteps=0, precision=0.001, ):\n", " costs = []\n", " history = [] # to store all thetas\n", " preds = []\n", " grads=[]\n", " m = len(y) # number of data points\n", " oldtheta = 0\n", " theta = theta_init\n", " counter = 0\n", " oldcost = 0\n", " epoch = 0\n", " i = 0 #index\n", " pred = np.dot(x[i,:], theta)\n", " error = pred - y[i]\n", " gradient = x[i,:].T*error\n", " grads.append(gradient)\n", " print(gradient,x[i],y[i],pred, error, np.sum(error ** 2) / 2)\n", " currentcost = np.sum(error ** 2) / 2\n", " counter+=1\n", " preds.append(pred)\n", " costsum = currentcost\n", " costs.append(costsum/counter)\n", " history.append(theta)\n", " print(\"start\",counter, costs, oldcost)\n", " while 1:\n", " #while abs(costs[counter-1] - oldcost) > precision:\n", " #while np.linalg.norm(theta - oldtheta) > precision:\n", " #oldcost=currentcost\n", " gradient = x[i,:].T*error\n", " grads.append(gradient)\n", " oldtheta = theta\n", " theta = theta - step * gradient # update\n", " history.append(theta)\n", " i += 1\n", " if i == m:#reached one past the end.\n", " #break\n", " epoch +=1\n", " ### SHUFFLE : SHUFFLE DATA BEFORE SAMPLING & get gradiendt (avoid bias )\n", " neworder = np.random.permutation(m)\n", " x = x[neworder]\n", " y = y[neworder]\n", " ###\n", " i = 0\n", " ### prediction with sampled-shuffled data ###\n", " pred = np.dot(x[i,:], theta)\n", " error = pred - y[i]\n", " currentcost = np.sum(error ** 2) / 2\n", " \n", " if counter % 25 == 0: preds.append(pred)\n", " counter+=1\n", " costsum += currentcost\n", " oldcost = costs[counter-2]\n", " costs.append(costsum/counter)\n", " if maxsteps:\n", " #print(\"in maxsteps\")\n", " if counter == maxsteps:\n", " break\n", " \n", " return history, costs, preds, grads, counter, epoch" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 33.63152359 -75.69906476] [ 1. -2.25083662] -140.376232643 -106.744709057 33.6315235861 565.539689363\n", "start 1 [565.53968936276658] 0\n" ] } ], "source": [ "history2, cost2, preds2, grads2, iters2, epoch2 = sgd(xaug, y, theta_i, maxsteps=5000, step=0.01)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "#print(iters2, history2[-1], epoch2, grads2[-1])" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 1000)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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S0OjRafj/3XfveGkuovIlQDOrPUlERNn+22tSYskCxzxJe0TEbOAo4NnsdRrw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\n84F5EfFk9v52UqDpaucFpKr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.xlabel('eopch')\n", "plt.ylabel('cost')\n", "plt.title('STOCHASTIC GRADIAN DECENT')\n", "plt.plot(range(len(cost2[-10000:])), cost2[-10000:], alpha=0.7);\n", "# for making large variance of the loss function clear in early eopch\n", "plt.xlim(0,1000)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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vx5TLgiBYUKnsYppw8eIOg8Gc+bzNdLqPECFCjDDNmDQ1iaIy8/mEcvkKYShQ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\nkuHQYWZmgampwl454tycCt7Kx6d6pyjKIYiiiF7PY25Ocvv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fDjP4viCKJoOMbVuSSKjj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\nIK4oinKCqSCuKIpygv3/hcSmwkWmwnAAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title('Theta Plot')\n", "plt.plot([t[0] for t in history2], [t[1] for t in history2],'o-', alpha=0.1)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "//anaconda/envs/g_dash/lib/python3.4/site-packages/numpy/ma/core.py:6385: MaskedArrayFutureWarning: In the future the default for ma.minimum.reduce will be axis=0, not the current None, to match np.minimum.reduce. Explicitly pass 0 or None to silence this warning.\n", " return self.reduce(a)\n", "//anaconda/envs/g_dash/lib/python3.4/site-packages/numpy/ma/core.py:6385: MaskedArrayFutureWarning: In the future the default for ma.maximum.reduce will be axis=0, not the current None, to match np.maximum.reduce. Explicitly pass 0 or None to silence this warning.\n", " return self.reduce(a)\n" ] }, { "data": { "image/png": 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Mx1PG0dEharUGtVp18m+18t5UnE4P3377ApUKGhquVvRc16T2T5HMcno5wul0Oq+9yeJl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XOPJqmsr6+lnK5QzT03PMzh7aD28F9gWytVqZUilLq9VkPFaRpAFut4sjh4/jHyiouRxqpYIt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# fitting process in 3D \n", "\n", "ms = np.linspace(theta[0] - 20 , theta[0] + 20, 20)\n", "bs = np.linspace(theta[1] - 40 , theta[1] + 40, 40)\n", "\n", "plot_gradian_decent_3D_(ms,bs,history2,cost2)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3) Mini-batch gradient descent" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# dev" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.4.5" } }, "nbformat": 4, "nbformat_minor": 2 }