{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# 2A.ml - S\u00e9ries temporelles\n", "\n", "Pr\u00e9dictions sur des s\u00e9ries temporelles et autres op\u00e9rations classiques."]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [{"data": {"text/html": ["
run previous cell, wait for 2 seconds
\n", ""], "text/plain": [""]}, "execution_count": 2, "metadata": {}, "output_type": "execute_result"}], "source": ["from jyquickhelper import add_notebook_menu\n", "add_notebook_menu()"]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": ["%matplotlib inline"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Une s\u00e9rie temporelle\n", "\n", "On r\u00e9cup\u00e8re le nombre de sessions d'un site web : [xavierdupre_sessions.csv](https://raw.githubusercontent.com/sdpython/ensae_teaching_cs/master/_doc/notebooks/td2a_ml/xavierdupre_sessions.csv)."]}, {"cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [{"data": {"text/plain": ["'xavierdupre_sessions.csv'"]}, "execution_count": 4, "metadata": {}, "output_type": "execute_result"}], "source": ["import pyensae.datasource as ds\n", "ds.download_data('xavierdupre_sessions.csv', \n", " url='https://raw.githubusercontent.com/sdpython/ensae_teaching_cs/master/_doc/notebooks/td2a_ml/')"]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [{"data": {"text/plain": [""]}, "execution_count": 5, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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VXWjzaYZBIcQfAPwG5te5D8BMAJ0BLALQDsAuAHdIKRuFEHEA/gVgBIBSALdIKfN82T8R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\nmZmZFeTOs5mZmZlZQf8PbOxWBPB2r70AAAAASUVORK5CYII=\n", "text/plain": [""]}, "metadata": {}, "output_type": "display_data"}], "source": ["import pandas\n", "data = pandas.read_csv(\"xavierdupre_sessions.csv\", sep=\"\\t\")\n", "data.set_index(\"Date\", inplace=True)\n", "data.plot(figsize=(12,4))"]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [{"data": {"text/plain": [""]}, "execution_count": 6, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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qVrbl0FnMxuY8z1Y1mBx4cN+45Dy1wIIs/IJuRJE47eso55zj4z99Go8dmjyV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8OGsg3ZllFnJUfjE02yrngucfJQJUHmA1tU0d9iLkXNc2nDYN1FxKlwS9cV1We76YkGY1p7fR3z\nbCjbAMhDOivboM0Rvc/os7txwox5pk3m3rk2psZqePR46sdMjeNVxXOz5mJBchYZVNyXZs3Fvg3t\nTPGsO1VMZZOy5lm/tveDULs5y7/uKMVz3XWw28Dekl77YjttXImwxXMFRNSu9AGoeHB28sxzaBKH\nLDX1GXwY6QjOJLkuZZ4j0BI/SsOgqsEJSGUbOr2geF2x6AcGhUoZVEEmdAQ1vzJMHoJzmgVCPv4c\naNjhrOZZ7yqRNoEKt40Jw65pkm3otLrNODkSALbrmGeJjesHaks+QBQD5KLymuv0rg/y+++2Xfri\nmX73nsMwZfCA+M9vuwmu4WaLmOenTq2g5jLMdtSaair6hAxDz1ID4ng/NHDbkIunJEJbsxkdBT94\n1y784F27jDeinssk2YZ+HjdsN4/kpebFlFxQM3e0aU2KbZUjhiTb4JxjuW8g24jtBAG140pdYlh1\na5jnihMQ2RdaN28g27yoJBdqZWmHxd9tKh0oKZ6rir56+l5s1lxtL47cSAmIZ1OVZG66XSvINhKb\n09yzyUi2MQyT4pkxhvGml3EKSQpzlWwjx5pXre0Ht0zgn6QwGL3bRnZzbuKzTxsX+t0qQ3uk+2VU\nPMfj925oa9cjIJVtWL3z2sPKNipAO3Ffw2Z0Gl7Bqm4UH16T5jKyHaIFSunzLJm6m8g25EJrNQ4j\nUKHu5ZPF1J6qAEqbXUyg2lhMtDx4DhOyjeUBxhuettmxVU/tm/prrHmWf9bRZBuGDYPSa2s1z7XU\nBWah52PayFtZfM9rrt2kHUtzr7mskPhVBmrGMdFHA4IFnTVkSojBfOLkCg5umdAWiXXXiT3W9TIM\nN5ZvCeaZa4895bS77iBAs+ZopSGjgDE20gmO5zAcPiOao2bbaxuJKxh8/SY6768eRJG4r8oUwLSo\npDVYK9vwq/XX+WubWtXR9ROrulAd0Z7KpdKNgvLaOW/latlGeqpFiCIhJaoM18o1mutcJfJSGZVk\nLp9eCEhpsLk1dXqsDtdhyuK5N8ieeFJ/R/7aVYmtjZpbaLysui975zo4vtgveH1XxXPLCYOc80pW\nO/89wudZhIipPrPN82SeTSQbgMQ82+J5zWGL5wqQu0GaRFZ+q9oNL+u2YSTbkKzqDDxYm3WSbUTJ\n33XXXs0w1QbMs2HDIMVz6xgnoGj5NypUDAJjDDPtOs6uDI39g4l5DmO99qhuG2Yyj8goDpmudSQu\nbmY0xY382tu1sg0xd3K4oKNT3ffsmWtj/0a95pV+tmu3TmrlKcD6sh9ysXHTdr3+WjQMRka+zXR9\noXlWF0JAWjwNA9EwqDvFWW94roMnTq6g7jq4Y8/Mml675on7ottEOw5Dw3MkqzoDuYxUyFFPQBXz\nLPenkJ5al+wZRFysAUYEQFqYBTp3odx6p/tZxelmlnkue3bkC2HA3J+4H+QYf0PZhoq4mB6rFzTP\n/Qrm2XEY5jp1ZfGct17M2+zpwrvymmdVHxFtwvKbiuqgHAeMiYbBIO5/0vvmix4lnWyHxhJ0p5WA\neL/fsXsGr75Wf0II2OJ5PWFlGxWgRVPXaNHJF88mxzqStGIQ6Jv0WrFVkW4HLuYdf9j9MPngmJi0\nU/FcleRFINmGURhMLqFrVOia3Wbadcx3h1ju+1rJBiAW35VBkDBDozLPJo0fxDzrrMFoU/Dg0/PY\nNtXC5km1CwVdf+N4w8ALVHz96Nle/D16h4t7r96Am3dMGTGb9LPdZqB3BtL7NqeRVJwPZDb4RgPZ\ngeeQz7PePQNIN4sifMPQbSO2k1vLZsHzAc33zr0zaz6XmsOSsJmaq2bE5RMfHRsLiPcLEQXUEzBR\nwTzL/SmpbEPPDstru4oAyLhzaORn+fVuqAnUaNScTBFadW/y7D2QNiXqGt3kWGlA7WecdduoJi6m\nx2oFzXPfjxL5Vx4bxhvKhsHeMMysDXl3EfoZVA2Deb121X2hbIaVYYDJsZp2bWdMbP76gZllKRCn\nx8bPDd1GcVTNM2MMf/Sjd2vHEei9bTXPaw/LPFeAmjmSJpSqhsEKtw3dtYE0+tkojc5Q88wYS2Qe\ngyCEpwhgAbKa59WhvmGQopaNokfpGFMj2/jSU2eSQk9GX2NIP9dpYL47wOmVEZjnocTgGzPP4j6q\nju1lpmegCbKRxy8PAty+W1+E0ngTH166788mxbP+3vzq227Gu+7erR0HpAsxdcbrUF9H9kPWoOoc\nKIA0VnpVE8+ejI/f74GJ5lkqnrqDYE2bBc8HNN/7r9Fb/p3Ptf2Aimf1fRmT0u5MGHxZ80zFs8rX\nOt+folqTZGmNSd+GkFakISkqPXXB2i6IklOXqvFZq7ryU8iUbJGK51Ddh5HI93wz2UZe86xqqJ5u\n17G46iensvQ6zQqJwoZOA6eW+6XXAlDYaDZq6eYJqGa1Cc2CzV71aS59Jslb2qQgpueGiXwPSGUn\nOs07kJ6cAGbM86ggO07LPK89bPFcgbzbhtqqLtusMBrzrLcSo504LShabW/c7WsiCaHFtDcM0fND\nLUNFD7ZROolVzPOnHz6Od378y/i5//Gtwtd0Htgz7TrOdkeQbdTdnJyl+tqe68BzmNjgVCRWychb\n25l0ZBNeslt/pE6Fns5pQ57L0XPmso1RsHN2DJ//l/fhgYNmRdl6Hh2SBrVdd7HPwGbNcxmCiOO5\nc6vYNqW/l1RsB2Gk1TzLxdPKIFB6PL8QoHuzHsWz5zrwY/mTttlVsk3zg9FkG8sa2QYQa6TjDQ6g\nbhiUbRxN1zA5VEWpeZZIETFeo3n2slrdqnvZLGGek0Kuym1DesYAojCvudVa87ytqKpvg3ooFiWH\ni75fHbA122lgfqWYSEjoDrMJklWyDWXDYJCVtFStvySlotNiIoF0QWV9KTdBdZogxscNgwYbS8Fs\ni+uZMM+jgp5btnhee1jZRgVoMdHZGY03PQzDKNmpmxXP6RG/ic9zWjzrGwbF9V2sDiMwMK18gDrK\nn5nvgnNgu6agoAaaC5FtLPSG+Jd//DAanou/eewkGp6DB5+ex0JvmMS/AuL+qNwZZtp1PL/YF7HP\nBosDWdWlzS36gpjeAyZ2goBY6IehecMgACM9Kr2+CfNMR9mnlwdgTO9Ccj4wsUkiJAv4OsyDjuiv\n3zZp5GPqOaIYevZsDw8YFJVCpsS1hROQLZ66g1Dr/LHe8ByGvRva2DVr/rsyRT3eVJgUCC2JefZN\nmGfJTs6Eea7T55TcDQykFVkCQJN2aGw9lzruJOM1p1u0NoaxDlvVMCgXt0nxXLHOtHJste5ElDYg\nBBXzLAelUGPvqkIj3a6Xh7wQeoMQY9JGMx/womOeG55wIgoj0dQ78Ksdr+hkNR/ao3pPCjIqMmae\nGwnzrM5BIDRjD//1KJ7v2TeHD7/uaiNXJIvRYJnnCtAxls47lKyoiH0eGvg2p1Z1kTasA4iZm2GU\n7sANCjPTwhwQD4inTq0AALbPqItnsjQbqWEwt3A+dOgs/vbxU/jGs+dwy84pfPzdtyOIOP7msZOZ\ncTrmea5TTx4+JoVZMw5Joe8x2YT0DZlnWiSpMUaXAEevPTVWMwqmSGQbGqcNAt37mbG6UWPceiJl\nnvXa61FBkiQTyYaYC8PKIMAwiLBzVn8vE81zZOLznBZP3eHF1zy/6+7d+KlXH1iXa3uuA85FI5VK\nmgCIgiXbMDiKbMOMeR5IzLOuGAayvQxa5lmK59b5U4trp7INbWCLxFLL15BR5t2v0zDnpR7aNNha\ntnlRlT9AG5nMiasiATDPJMvgnKObi95u5mQbVTZ46dyzjL9q7vSZ7OaYZ7X8MCvbMCHH+kGIYRAa\nrb3ryTy36i7ef9/+i/4MuBJhmecKpFZ16gW2Ey/qK/0AM+26keaZGisGsT5We8Qfa/pM5AZAKk9w\nHWbohuDg0Gnh+qCL5625DsKIJ4ubsoGmln2YEJ6ZF6/1P3/iFZhs1cA5x7apFv7q0efx1tt3JON0\nxf+MFDdqqnnujXAfiXlWWUIRnDj++5tHFwAA+zepC2J67dt3TRvZt9F90G1u5Osv94NL4riO5r4e\nc5keq+F99+0zCg0Bsp/j3QaMLCVqhqMkDMaa585F1jy/+57d63ZtuhfdYaAsygDxXqRjct+giUpu\n0jNjnkXhlzgjGeiShRsCT15PORc/DUkx0zxTk556oyC7bahs9srcNrQNg7mCW/dcIm03har0/epG\n9jIZyaqiz4PcJ8rCsvp+hIhnw4SItEiuPVTLFZsJSROh4akt/JLieRgXzwYnqNQAaJI0m8w/fn/p\nCm0gfU6uR/FssX644O0IY8xljH2DMfYX8d/3MMa+zBh7kjH2h4yxevzvjfjvT8Vf332hr72eIO9I\nXSIW6Rrp4XC2O8S0gaeqaCqIlLtkQqsujnVIY6Z6kADpsZc58yyKbc9h2nQ5Wgxo534+so0j813M\ntOvJYsEYw+uu34wvPHkmYZoAfYS2bO9mKtsII548kI0WwcAsQh0Qi/ijx0Qy1g0a/+OG52D/xg5e\nf/0W7XUB4J79c3j/ffuMj9/Ws2AdFeupeWaM4V+97hrsNYyVlptndRtFQDQKk8+zvmEwLZ66uaPo\nKw1yr4SOLJBlG7oCFCCdsRi/tOqDMSg3IsTgpp78BgVuaKZ5zvo8a9w2cmRBVWKgfG1KUlSxmnnb\nOZp/1Xig3OdZJyGhQCv6GXRNd3Ix3/erMwLo38t6X6iIbUuflab0fgEkzXMl85xeXydnKTspBvQN\ng+J5aso8C7KrNwyMwsHoPq9Hw6DF+mEtuPwfB/C49PdfAfARzvlVAM4BeE/87+8BcI5zvh/AR+Jx\nlyzIwN7XHI+1pQaEYRDh5HIfWw0akRqxzsmoeK4Jb9KnT69goulpd6gU5/380kDrHwykH95t0y3j\nIIj52GJJ9YHPN9AQDp/pYnfuyPyBazZiGEb42jPnkn/TsfKyvZFJYUaLLxn86/TglEZm4t1N1wsi\nji2TTa3O2HEY/van7sX3GTKmE80aPvy6a7QMeDKXeL4mNnXrDWKk1sOqblRQ93nNZUaf08Tn2aRh\nMAmziApH0Vca6PNw7Nyq3m1Dkm0MQ65lquWCdakvGHyTUBXyeTayk/PNNM+yz7MISVGzt0BetqGf\nN+dc+ZxpljDPWvcM6b0IAAODtEN57n2FG02ZdZ5gnqtkG05h/oRuksSZZZ4H8X2hucjXKcw9OU2Q\nmvo0z+tRZBv0PKVr69bgRs1Bdxji688sGMnJGp4L12FrmkZqsf64oOKZMbYdwPcA+Hj8dwbgfgCf\njId8AsCb4z+/Kf474q8/wEaJy3qB0YiPanTG+x3pw3hyqQ/OgW1T+oKl4aVHmXpPYPH1x08sY/dc\nW+vF26y56A1CPHlyGQc26ZOIaOEw0dPSg/LEorAeUhXn+QYawpEzvULD2cYJcc8yHdyBOfNsskkg\nxmQh9ig1sggMzE4H5OuZpO6tN+jer7XTxvngLbdux6++7SalbvWFAn2Od0yPGTUYJpZsJrKN+NoL\nPR+c46JrntcT91+zETPtOg6d6WqLYdnn2dfYtwFFqzrdSVvBGcnAmnMQhNpm8PxcAg3z7LmOaFgz\ndNvIOH8E1ax5PiIa0DOmScPg0Ey2ka7VqW64qiekTEYi3DnU4/tBWfEs/i3LPGcL+dVhCKciKjwz\nd8mLWVf4d0eIi2/FMgxjzbMnTjiHYYR33LFTORYQP+9kqzZSeqjFxceFMs//F4APA6DqaBbAAuec\njI+fA7At/vM2AEcBIP76Yjz+kkTitBCom1CIeV1YHSaJbtum9EVos+YkhaJetiE+8E+cXDbqnG/V\nXByZ76I3DHG1QYwnLUomTg60cJxc7IMxKKOfyzTPq8MQzy/1C3pTekDShoJzroxZBYDZWPM80zZr\nimvVxZiEedamAArmeaHnGxVCdD2dZOOFAD2ATDye1xtbp1p4y61mDPt6gz7HuwyaBQHx2Xj69AqG\nQYQZTcw5FU8UfHElF8/bp8fwW++6HQ3PUfqlA9ljeBPZRp0kBGGE5b6v3XQRO+ybhKRIdoKqglWe\nS1IMm6RM5t05lFIJSW6g8G2ux45I/VxDn3yNPPK6ZBPnDyBlYgcK4qIZr6My89xXMs/FYptAso2M\n5jgW8V4AACAASURBVDlpqA+T12nV3Mrisik1DA4198VxmHBdkphnlYUfEJ8SD0fTPAOin8WEvGp4\nrtU7X4Y479WdMfZGAKc4519jjN1H/1wylBt8Tb7uewG8FwB27tTv2tYLZDtHzHPVrnf7dAsOAw6f\nFlZvALDVkHl+7LjQx2qZZy+118nLHcrQkkzjR2GejTSg8X14fqmPqVZNyd6VyTaeOSuaBfPMc+K/\n2c+a16vY4YmWB89hxhZoxDqMwjwv9IZ46tQK3n7HDuVY+XqXQvGcMM+XgGzjUgIVVqb2bTWX4dTy\nAK2ai+83kNiM1Vx85/klALjoPs/rjdt2TeMP3nsXHA1jlpdt0Ca2CnJwkwnzXAi00jR/AanPs6sJ\nP5Kt6kxTJmntGmjcNupSIT9UFPJJ8FWZ20ZFIVeLfeqNrepydniqeO5qzXNFsZ0w5yWaZ5JtSBtN\nudlxCmoPaSDPPJO0ovpnbTe8TMOgTrMvZCQjhKTEP68J6wwA12wevyQkbRaj4UKokZcC+F7G2BsA\nNAFMQDDRU4wxL2aXtwM4Ho9/DsAOAM8xxjwAkwDO5i/KOf8YgI8BwO23314orl8okEVR6h1afWS0\nc2YMT51eSRY+Ey3lDdsm8Zff6uHglgltzLG8cJg89OWi8IDG9QGQZBsGTg7E3D2/2NdKJcoaBo+c\nEcXzntzPMVZ34bC0u54WcRU7zBjDTLtu3IhG0ePEPJu4bRw63cWqHxozCMAlItsg5vkSkG1cSqDP\nsSnzTJ/pd965M/G0VeHtd+zAb33hMABc9ITBFwK3GES0U88Ghc3UDPsqhkGE5YGv3RxTwWqiea67\n6ZpE0eLKuWQaBtWaZzEXdySfZzGXUCqGq9jVrN0byStUhZxccOv6NuT7Qv+vZJ69IvOs1jxXyzbI\nb7lMtkHFturagKTv9kP0fTFO9bO2626mYVAnwyDZho7tJ9y5Zxbfc+MWfM+NZs3gP//Ga43GWVxa\nOG/ZBuf8Zznn2znnuwG8HcDfcc7fCeBzAL4/HvZuAJ+K//zp+O+Iv/53nDoCLkHkXSVUi+y+DR08\nfaqL44urmOvUjezhfuX7b8S3fvG1+J8//nJcu3VCOVbuYjZhnimJadtUy0hnSg8rE+aZFuvnl/qJ\nbKLyul6WzQCAI/MiMnr3XPa1GGPoNLxEtkEMgo4dvv+ajXj5VXPaeQPpfTwcF/BV3eGEZs3Fcjwf\nk01Is+Zg80TzknC4aCbM88Wfy6UEeq+b2NQB4lSo7jl47yv2Go3/6ddcjX0bxLWv5IbBUUDrYW8Y\nGsV5y4ysYJ41so2ak5FtmOmMQ6OAF5lJ1oWk0Nxldw5dMImYi9yYXl2AjsI8A6lFHI03LeR1kjnP\ndVB3nWzxPKx220iK5xLZxkpZw2BOtqFy8sjMXQo1U20qxuoeejHzbBKhTSEmpprna7dO4Nd/4Faj\nOsDi8sV6rO7/CsAfMMb+HYBvAPjt+N9/G8DvMcaegmCc374Or71moA/fSrxDVS2y+zd28IUnz2Bu\nvG7EOo8K+UNokuxGC81VBgUfcH4Ng4urvpZ5lv2sCUfOdDHXqZc+EMebNSzFVnV9A+YZAH75+27U\nzplA6VKPPLeI11y7SatJlRfg/Rv1zPM779yVyE4uNhLm2co2Mpgaq8Fh4jNrgvfduw9vuXVb0tCq\nQ7Pm4iP/6834uf/xLVxl+BpXOoiBp9Q1E7cNQBSVy/0AEy1Nw6Cbbxg01DybFsMk2zBoGiUJiSox\nMB0rOX8Eata8VXfLGwZVyXh1JyPbMG1eNJHMNWMdMABEEY+Z6tEbBnslso1mzqN6dTiCbMPguSGT\nNLr7AqQNgESkmTSPW1z5WJPimXP+eQCfj/98CMAdJWP6AN66Fq/3QoAWgpWBKOZUH7B9GzsYhhG+\n/swC7j2wYc3nQgtHp+Fh1sBVgharqw2kBoBYDMYbXhK7qoJ8H2YMdFqkHSccPtOtlJ6MNz1J86w/\nlhwVtAnZMtnErxgU3TR+80TTqKHjDTeYHdO9EGh6LsYbnvKh82LEAwc34TM/+Qqj5lhAsEjXQn0y\nlMeN26fwFx98+flM74oEaZxXiXk20A0DpHk2aBiMPflNQlLkwtwPDLy748Kccx5rnjXja07WBq9C\nhgFk2d5BMr5aNyxrhnV+xoBYAxKfZ8PmxaFhASo7qND6rmOeKexEBrlejEnrVFnDoIrFlRsGk+eG\n4r6MNVycjZt6dRZ+QPr8feZsF57DruhGYAtz2HdBBRqJbEN8GFWMA7FYq364TsxzqtM0sbOhD7uJ\nThcQ+uua5xhdW15odO4DQMrEEJ4928Pd+8pNVrKyDWI/1q742z7dwqsObsT77ttnFGRD7wFTBv9S\nwjvv2ok7985c7GlccnAdZnSKYLF2aI0q24i/vtwP4Idcb1XnZkNSdEl6QOrzrCpugXS980OeODPo\n5xJp47OBvPOHerwcNEPfo7t+q54m9Q2DCA0jCUloRFyM1b2EGdb5MCfMc0lEd3cQwHNY5rWauebF\nVT/ClDJPgK6fsuaq+9JueHj2rJAPmjQMEpH28NFF7N/YMfL8t7jyYYvnCqSyDX2S3j4p3Wzb9NoX\nz7T4mOo06ZjUxKYOAD74wFXGc8kwz4YFKC2CnHPMrwwrNcHjTQ9nVgQj0DdoiBkVzZqLj7/7JSON\nB8w3IZcSbtw+hRu36w36LSzWG9Sou+oLRwzTgnV+ZQAABlZ1wtqOijkV0eHFLhTD0FTzHDOy1Oxo\nMH4YmHkCZ3yeNVHhzZqbNFPT9zhM7WktWwRqEwalgpUYbjXbm2qw6f/VzHOxwZDQG4YYq2dt6PI2\ne/1hiKai8TnTeGkgOWnXRQ4CEG8qDBoGAeDxE0t4o2EToMWVD7uFqgAtmqRzUlkUTbZqSUFoEpAy\nKujDa+oQ8JrrNuGX3nIDrtM0Ip4P5E3ErIlsQ7LNW/XFA6vKG7rTrBWY54upL6PXNmkWtLCwKIfM\nPA5DM59nAJiPN9ITOqu6Wra520iX7JtrngHEshADzXONWHB9AEupz3PF+Lzbhk6GkXzPeXhOmzDP\nrZqTaeij1yu9toJ5XhkEBRlEnqle1TUMlui1VZKTsXpqVWfaMAgIzfvVm9f+mWpxecIWzxWghWOp\n74MxaNPI9sfs83rINmbadbzy6g144OAmo/ETzRreccfOdUksysg2TJnneDE+F/srT1doq8ebXsKu\n6BbkFwKXM/NsYXGpgPSsJNvQFStUQJ7pEvOsl23Q9QF1WhwgJxLqNc9yIqFpSIqcGKiUkMjXJp9n\nRWJgvmFQV/i3ak4mYdDEc3oQhFKztloSQvd7VbNWU+Er974QesNi8Zy4c0hWdUYNg35a+KveY52G\nh+4gSFxFTBoGCddssc8CCwFbPFeAFo4Hn57HtVsmtIUo6Z63rUPx7LkOfuef34Hbduk9VdcbsubP\nqHiWmGdKXptslX/feMPDcuy2oYtZfSFwYPM4ds+OGctfLCwsipCP4U2CRvLMs0nDICBYTIdBmRYH\nyImEZhpmAIkVnn7uboZJVjmLyJrnpGGwYj75hkGVuwUh4/NsbFWXFqAq4qJV8xJJCM2rqsCtuQwO\nK08YXBmEaOe+Lx9Hr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99363ajEBYLi0sZF1Q8M8ZqEIXzf+Oc/2n8zycZY1s45ydiWcap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\njQAAAABJRU5ErkJggg==\n", "text/plain": [""]}, "metadata": {}, "output_type": "display_data"}], "source": ["data[-365:].plot(figsize=(12,4))"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Exercice 1 : tendance\n", "\n", "Fonction [detrend](http://www.statsmodels.org/dev/generated/statsmodels.tsa.tsatools.detrend.html#statsmodels.tsa.tsatools.detrend). Enlever la tendance."]}, {"cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": ["from statsmodels.tsa.tsatools import detrend"]}, {"cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": []}, {"cell_type": "markdown", "metadata": {}, "source": ["## Exercice 2 : enlever la saisonnalit\u00e9\n", "\n", "Avec deux fonctions [seasonal_decompose](http://www.statsmodels.org/dev/generated/statsmodels.tsa.seasonal.seasonal_decompose.html#statsmodels.tsa.seasonal.seasonal_decompose) ou [fit_seasons](https://github.com/welch/seasonal/blob/master/seasonal/seasonal.py#L25)"]}, {"cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": ["from statsmodels.tsa.seasonal import seasonal_decompose\n", "from seasonal import fit_seasons"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Exercice 3 : Auto-corr\u00e9lograme, p\u00e9riodogramme\n", "\n", "On s'inspire de l'exemple : [Autoregressive Moving Average (ARMA): Sunspots data](http://www.statsmodels.org/dev/examples/notebooks/generated/tsa_arma_0.html)."]}, {"cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["c:\\python36_x64\\lib\\site-packages\\statsmodels\\compat\\pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n", " from pandas.core import datetools\n"]}], "source": ["import matplotlib.pyplot as plt\n", "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf"]}, {"cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": []}, {"cell_type": "markdown", "metadata": {}, "source": ["## Exercice 4 : caler un mod\u00e8le \u00e0 changement de r\u00e9gime\n", "\n", "Voir [MarkovAutoregression](http://www.statsmodels.org/dev/generated/statsmodels.tsa.regime_switching.markov_autoregression.MarkovAutoregression.html) ou [Gaussian HMM of stock data](https://hmmlearn.readthedocs.io/en/latest/auto_examples/plot_hmm_stock_analysis.html#sphx-glr-auto-examples-plot-hmm-stock-analysis-py)."]}, {"cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": []}, {"cell_type": "markdown", "metadata": {}, "source": ["## Exercice 5 : calculer la s\u00e9rie d\u00e9cal\u00e9e\n", "\n", "Voir m\u00e9thode [shift](https://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.shift.html)."]}, {"cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": []}, {"cell_type": "markdown", "metadata": {}, "source": ["## Exercice 6 : calculer la performance de pr\u00e9diction de la veille pour le lendemain\n", "\n", "C'est la pr\u00e9diction la plus simple mais toute performance en de\u00e7a du chiffre obtenue veut tout simplement dire que le mod\u00e8le pr\u00e9dictif \u00e9valu\u00e9 ne pr\u00e9dit pas mieux que la valeur de la veille."]}, {"cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": []}, {"cell_type": "markdown", "metadata": {}, "source": ["## Exercice 7 : caler une r\u00e9gression lin\u00e9aire\n", "\n", "On note $Z_t = X_t - X_{t-1}$. Estimer un mod\u00e8le $Z_t = \\sum_{i=1}^7 \\alpha_i Z_{t-i}$. Garder les quatre derniers mois comme base de test."]}, {"cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": []}, {"cell_type": "markdown", "metadata": {}, "source": ["## Exercice 8 : remplacer la random forest par un arbre de d\u00e9cision\n", "\n", "Quel est le meilleur mod\u00e8le ?"]}, {"cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": []}], "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": "3.6.1"}}, "nbformat": 4, "nbformat_minor": 2}