{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Filter - Lowess" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Loading required package: daltoolbox\n", "\n", "Registered S3 method overwritten by 'quantmod':\n", " method from\n", " as.zoo.data.frame zoo \n", "\n", "\n", "Attaching package: ‘daltoolbox’\n", "\n", "\n", "The following object is masked from ‘package:base’:\n", "\n", " transform\n", "\n", "\n", "Loading required package: tspredit\n", "\n" ] } ], "source": [ "# TSPredIT\n", "# version 1.0.767\n", "\n", "source(\"https://raw.githubusercontent.com/cefet-rj-dal/tspredit/main/jupyter.R\")\n", "\n", "#loading TSPredIT\n", "load_library(\"daltoolbox\") \n", "load_library(\"tspredit\") " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Series for studying with added noise" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "data(sin_data)\n", "y <- sin_data$y\n", "noise <- rnorm(length(y), 0, sd(y)/10)\n", "spike <- rnorm(1, 0, sd(y))\n", "sin_data$y <- sin_data$y + noise\n", "sin_data$y[10] <- sin_data$y[10] + spike\n", "sin_data$y[20] <- sin_data$y[20] + spike\n", "sin_data$y[30] <- sin_data$y[30] + spike" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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CC6SyvQFTaL7vLcmMfgOdGd2s0nkn07NGfepg7YrnIfLTSDQ+I7TUusJr5T84k0\nG+GLZDbl6YqsAR4D4WNQsnnYJvrqiN2EIvUQPYXCyWNwAaNbk1MjAaPXofC5+E5NJ9JDMShj\nDARO9bQQZUpi9LoKY4af2US6nrcC6yZ1MRCWovRrbgqgVF/KyC+4EoEDs4m0DVqxblIXU+iK\nbPhk2Gqj9PskHBDep9lEmimo4qAv38mwmJXZOAEKSr9jEN71zCZSd8Cp8rwZOqP0a2r+hrYo\n/f4ponS/D2YT6f4YnLNnZ3ivT2JF1kCv0DtxILNYCeHzKEwm0vU8WFNV89AV2bD5DmEUtsrT\n4me9mEykLdCGcYt6ubMQUscmZo7wUfouPhA/2s5kIk2HiYxb1MujPNe5tygT4BOcjndDiugu\nTSbSC8JqSXtz/a0ESOh0BqVv8zIErUDtrQVFr/JiMpHui8UYvOUYdeLgiUyUzk3LS7AOqed2\nwns2l0jpyVXZNqgT93xCGt0QFq1gD1LPc2Ck4B7NJdImpAsTG10zmHEuBpuWhnAaqecj8Jjg\nHs0l0jSk00DumhqzUHo3LffHoK1HWSFJ8Bov5hKpG6xl26Be7lc9KnICp3ezcmdhtK5fFD3J\n3Vwi3ROHtJbUnrLZHuUXtIyjZSiGMArbxVfwutgOTSXSNZRJxCpX5twnvCKO2ckSvGS2J+di\n7xfboalE2ggdmbYXFkhz3E3Mecw1PO6JOy+0P1OJNAXeZ9peWGDNhDIv++FZvM5fg0VC+zOV\nSJ3RLvDZMcfLmpWN8CJe5z/Cy0L7M5VId8dfYdpeeNwbm4bYuwlZCgPxOk9LFHvt3kwiXU2o\nwbK5cOkKv2N2bz4+R/1WWdd2TGR3ZhJpPe4s1SnwAWb35uMDmInY+zD4VGR3ZhLpfZjCsrlw\nWYdR5cnMjIBvEHv/TWy5djOJ1BE2smwuXK7E3YPZvfl4Fam+hpOMAreK7M5MIlVLuMqyubCp\nnJiO2r/Z6IC7zGFD2C+wNxOJdCUe+S9Ca9iKG8BkpMJRzO7HwjSBvZlIpN+hK8PWDDAOZuMG\nMBl1AfUTxGah14NNJNJ7otdR9GWF4Gt8ZqdqXtTus4rfILAol4lEag9/MmzNAOdsdXADmIyb\nSuP23xy2ievMRCJVRf+uf1sB4XUHzUvGwvjSJ1ETTIUJ4jozj0hpcfexa8wYTWEvdgTTcPQu\nACiEOoNrr8jS4+YR6Td4gV1jxngT5mNHMA1PqnOKC6GetyuTX9xnGPOINAl/YZXvYQB2BLNw\nwlXlAnVUVXuBlQnMI1Jb2MSuMWMcpbXN9bLTJdKbmCHmCezePCJVTsI+12C3l7wBO4FZSEt2\nioQ6Pf+47VFhfZlGpDTRk/C1eBL3Wr2ZGKZ6dB/um18lcUW5TCPSKujOrC3DDIDvsCOYhetV\nAGKaHsEN8RIsF9WVaUQajzq5xcV8GI4dwSwcib9zH06ddg8WQn9RXZlGpFYyjBjdC02wI5iF\nATAZO4Ldfj5W2LVH04hUMU8Gs7YMk1WoLHYEk3C1RIH/sDPYHXU2zgrqySwiXYx5kFVTkVDX\nJuoXY3JmwCvYERz0g4WCejKLSL9CD1ZNRcLLoktKm5V7bLuwIzhYJuxlYxaRxsoxF4jKrepj\nlchhbkG4kiSqGKFZRGqJO23ZzVYqt6qL5rKsyVbPJujKn1lEKp8PbakdTzKSqdyqDo7E3ynJ\nhJM3YZ6YjiIRaduIVl0nei5QPEhxklOZj5lI/8U8zKilCKFyq3p4XYZz3yproYOYjiIQaXlq\nSp9uStuDuVs6pnZRyZnPxUwkaWZ5d6Fyq6GR5Ny3g4wCt4jpyLhIaS1aHLDbFys9c/6IZzTq\n57MPM5HGwMeMWoqQD6jcamhmQK/QOwniKUGTMY2L9JWiznIboOxwb/lXmeSzDzORnoGdjFqK\nkN+p3GpoJDn3rTIepgrpx7hIvZTDjptFylz3lvWKrzfMRCqXL5NRSxFyGXEVOrMgy7lvla3Q\nQkg/hkXKatpYvd2ijHRvWqjMGdaq1cDVuTuxEum8rS6bhiJHhmlRkiPNuW8HWSWLCXkPNizS\nFaWNertfyfli9L6itBrYM0V5V320ftasWW8zEmk59GbTUORIMXhWauQ5963yDGwR0Y1hkS4o\n3ZwNKDktDEmdmf0M7muvrHE8GluzZs1OjEQaDZ+waShyJBliITHynPtWmQbjRHRj/KNdSjv1\n9oAyxOcnqxR1pvz5w4cPf8xIpOYgzbdXaU7Ey4pE575V5kOeWhP5zxwwfrKhTVP1Zqsy0ecH\nF5SctcdZfUe6rYAk5xoc5dX6tZcAACAASURBVFbrYkeQm5kSnfvOZrE65Z3/wC7jIvVWTjhu\nFivuMRhZ6c5RPGlKT/c+jEQ6a6vHpB0mlKVyq0GR6dy33Z55s7MIC/dB+8ZFWqCo668PVdyr\n0JxSnItYr1fG5+zDRqRl8pxroHKrIVgNT2FH8OSgqywY9xIBxkU6n9rmlN2+tlGf7PvX9uzJ\n/uzVT5mX/WZ9qHNqzgJPjEQaJXY50OAMp3KrwWgBP2JH8OSwS6RRvDuKYKzdspSW7wxu3MYx\n1u6woqRlt9VD6TS8d2rKopxdGInUFPYwaYcJVG41GJKd+7bbqzhF+oN3P5GM/l4/vFXXCepI\nb6dI9mtz+7fo/JbHi56RSGUKSvTLOQpPYkeQGMnOfdvtG/M4PHqdez9mmI90Ch5j0QwrqNxq\nYK6WyC/Vue9s/ulVToBHphBpCfRl0QwrqNxqYCQ79+3kBxGvHzOI9CZ8waIZVgyA77EjSItc\n575dnBFRAtwMIjUWus57SObjLrEgM6vkOvftpmxB/tfzzSDSLUUkOtfgKLfaFDuCrDSX69y3\nm2YCRpiZQKST8ASDVtiRVZDKrWoj3blvF2/D3NA7RYgJRFosrhK6PqjcagCkO/ftQsRAYxOI\nNAx3tSp/XoYV2BGkRMJz304uxDzEvQ8TiJQCB0PvJBIqt6qNlOe+VSrwX4HBBCLdVIxBIyyh\ncqsa/NW2ViEZz32rtOY/S1Z+kY5LtwJyhrCC0ubh5wTHSJxXsWMEYCJ8xLsL+UX6VsQAj/Cg\ncqu+ZJZxjg3diB1EmzXQjXcX0ou0txUwXBqdDVRu1Ze9rtkKY7CDaHM5vibvLiQX6Vzj7N9O\n9d1MwrCDyq36skdukezVE65y7kFykVqov56qvJ+FMKFyq75klnaKtB47SAA6wzrOPcgtknt+\n4zds4rCCyq36sVT9PUmxqqIWU7lfKpZbpDUukd5lE4cZlZMkWBlaLjYlJjSYK+UAIQd/QjvO\nPcgt0iGXSKJW1NULlVv14wA0xo4QhHTuC8TJLZK9iepRxctM0rCDyq368SUMw44QjPtjLvDt\nQHKRTtfJ9qiaFMvHevIzlVv1ZSB8hx0hGN1hJd8OJBfJ/i50Xi/F6rFeULlVP/5P7gn43MdH\nyi6SIlMlrlyo3KovJUtgJwjKDniWbweSi3QtfxkmQVjThMqtenMEGmJHCEpmgXJ8O5BcpBX8\nB0kZgsqt+vAtDMKOEJy6ttNc25dcpH7wNZMgrPmOyq168wZ8hR0hOK9yXkZQcpHujjvPJAhr\nqNyqD6myzb705TMYwbV9uUU6FfMwmyDMkfy7tXBuKYqdIAT7OF8wllukufyX4zBIA7nP9orm\nNPwPO0IIsorezLV9uUVqLe1w4v5UbtWTH+WqKq1Ffb5vfVKLlHVjUWmWvPThCyq36slb8Bl2\nhFAMhEWhdzKO1CJthmcYBWEOlVv1ohnINvnSj4UwmGfzUos0GmYwCsKcrIK3YUeQidvlWS07\nEJxPtEot0qNwiFEQ9tShcqu5nDfD2MNSXMu6ySzSpcQqrIKwh8qtevCztKUhPUiBAxxbl1mk\n72RazNyX2TAOO4I8vAMfY0cIDd9hXTKL1EPORUKcbIXW2BHk4TmQbsqYP0vgNY6tyyxS+STZ\nZsZ6cDiu4Gvc6+CahYp55Jsz5gffhfskFukg1GcWhDkbCgJA4jTsGHKQFvsgdgQ9cF24T2KR\npkr8LSSrvFpMIo/kIzUFsRq6Y0fQQ3P4m1/jEovUFP5iFoQ1O13ljaZiB5GCd/nXqGfBGJ6n\nROQVKaMQ31GGEfGnS6QJ2EGkoAP8iR1BDyugJ7/G5RXpN+jALghr0vI5RVqNHUQKqiVcw46g\nhwsxHL/KySvSYPicXRDmfKB69Bx2DCm4Gn8PdgR9VExK59a2vCLdH8t3kn2EfHp3HLS+gp1C\nCtabZU2BNrCZW9vSinQ2thbDIDz4DvphR5CDKWZZ5WYS8LteIa1IX8helsZ+NqYOdgQ56Mp9\nzRRGrIWu3NqWVqSO8n+Rr5hsiu/Y3Lk3TuIRKJ5cib+bW9vSinRLAX5fDBnRiVbAdJCRdBd2\nBL3UiOf2rVZWkXZAE5ZBuDBD4qEXAtnMfe0hZnTh9yFUVpHGwxSWQbjwNzyNHUEGZsBE7Ah6\n+RDe49W0rCI1gH0sg3Ahq3hJ7Agy8BKswo6gl03QllfTkop0Jc+dTIPwoRHsx44gAQ/xXsOL\nHRn8Fu6TVKSl8BLTIHwYBXOxI+CTma8CdgT98Fu4T1KRXoVvmQbhw0p4ATsCPjugJXYE/bwE\nv3JqWVKRqiZcZBqED5cTqmFHwGcujMGOoJ858A6nluUU6ZitHtsgnLg/Rs7FMkTyCvyEHUE/\nO7iVHJVTpJkwim0QTrwic3kWQTxiO4MdQT+ZBW7n1LKcIj1rjpli9gUwBDsCNlmFTFVy9hFe\nC/dJKVLmDSXMsdbxcelXM+HOHnNdle7D6zOElCJtgFaMg/DitvwmqEPFlc9hJHaEcPic1yoi\nUor0phkKd6q0gk3YEZDpB0uwI4TDfkjl07CUItWxmWU5vPdhMnYEZJ6A49gRwqL4TXzalVGk\nC/E1WAfhxZaoL9tQvDR2gvDgtWapjCItlH8dRTeZBctgR8DlH0jBjhAevBbuk1Gk5+Fn1kG4\n8QQcxo6AytcwFDtCeHzDqYSBjCLdnvcq6yDcGMp1rRD5Gcx3ZVb2HIMGXNqVUKT98BTzINxY\nZoYltjjylOn+It/EZ+E+CUWaDJOYB+HGxbj7sCOgUuoG7AThwmnhPglFagS7mAfhR/X4NOwI\niBznu8IxD96EL3g0K59IGQVMdSLsRW4zXMzA9/A6doRw+RH68GhWPpF+5VjFjwPzzDVEhjHD\nYQF2hHA5w2eKjnwiDYCI1ssUzQEznRphThMTVq24LT+PhfvkE6lm3Dn2QThyc2FzjFTnQhkT\n/udbwE4OrUon0qmYhzgE4UgzLr8Xc3DW9hh2hPB5B+ZwaFUykf5sXc40UyhcjDfHuo9cWMbn\niztffoEeHFqVS6RF6vJdIzgk4cc6mVcW5Mxo+AQ7QvhcjC2/mv3qB1KJdK24KlLibg5RuJGe\nx0R13RjzDM91wjmR9nT2S6wc8+UPpBJpo2uJY37LQfGgLq8yAPJTPh+PE2B86aK+xG5iXbFF\nKpE2uET6kEMUfvQ327hNZlyIqY0dIWwuxjtfY1MZtyuVSFeLOP+T5joNFr1LYK7k8rWdL3td\nb9asJ1NIJZL9C/X/OJBDEo5E7xKY42AWdoSwuZTgFGk643blEsk+Coo1MN0En6hdArM1bMWO\nED49VI/KsC6RK5lI3Uw0OTaHqF0Cs3KS9MuT+nOlbbZHdzIvQCqZSLeZaHJsDtG6BGZaXC3s\nCIY41JFDuTe5RNpptlIaKtG6BOYas65qs5TDgAy5RBoP73NIwZtoXQLzPZNd8MvhNIdK03KJ\nZIaVYzWI0iUwO8If2BEMclNR5k1KJdLlPOU5hOBPlC6BWSPBhF9oVRqyL9kilUiL4WUOIfgT\nnUtgXku4GzuCUQbCd6yblEqknvADhxD8ic4lMDdCJ+wIRpkPw1k3KZVI5ZNMWpEnKpfA/NC8\nCwjsZX+eVSaR9nMqgsmfqFwC83lYix3BKFkFma+AKZNIk2EChwwiiMolMGvFmvTzQzYP26w8\nRKiRCaeJOYnGJTCv56mCHcE4L8FKxi1KJNK1/KaqDOlFFC6BuRXaYEcwznTmZbElEukneJ5D\nBDFE4RKYs2A8dgTj/MG80IZEIvWBbzhEEEPULYH5Z4ti8Lr5atq5YX8NTCKRqiZc4BBBDNG2\nBOaP6qSel7BjGOeuBMZzyOQR6bDtUQ4JBBFlS2BmlnZOM12HHcQwbWEL2wblEekjGM0hgSie\ngCPYEQSyx1X44G3sIIYZD7PZNiiPSE+zfo8QyhtRtQSmu4LIO9hBDLOC9bBOaUS6XuQm8353\njbYlMDPLOEUy6zQKu/2c7RG2DUoj0iroyCGAMKJsCcwVanU4Exb+zqFMIbbv29KI9LrJPxtF\n2RKYL0PZxqZbY8yTVMZLyUojUs1Y1kVkxRJlS2BWiz2BHSEyhsLXTNuTRaSTJqx+60V0LYH5\nt+kHFy5kPM5YFpHmsJ9qJZboWgLzDdMvCnWQccEqWURqCRs59C+SqFoCs3K86VfgKHYL0+Yk\nESnzhuLmWyDEm2haAnMn/B92hIh5FE6xbE4SkdZBaw7dCyWalsAcZMLq+b68Aj+xbE4Skd4w\nf0GrddBgu9n/quqlYsJZ7AgRMwfGsmxOEpEeiDH52VT7xeYAcN8u7BhC2AyNsCNEzla2H4Lk\nEOlsrOnHBbRTx8xUvoydQwT9zf/5wW7PSKrKsjk5RPoMBnPoXSQnYpyjz8JdfsOUlEv6DzsC\nA2rGXWHYmhwitYffOPQuEvc60kw/d0vKRmiMHYEFHZlecZFCpKxShTM49C6Soy6RPscOIoA+\n1vhfvst0MQ0pRNoMzTl0LpZmqke3X8TOwZ+sMnkuYWdgwSrozrA1KUR6C2Zw6FwsZxtke1Rx\nM3YMAay1wNueg4sxDzFsTQqRHrFZYZ721rvhX+wMIuhllTMqd+RjeN1PBpEuWGQxh5dhNXYE\nAWTdkt8i5/ibwW52jckg0tfQl0Pf4pkMM7EjCGCVZSqPjYAv2DUmg0hdYQWHvsWzFAZgRxBA\ndxPX8fTme5a/LxlEKpufcbE+JPZDM+wI/MksVYDldUxMjrAcwy6BSDsglUPXCGQm1sCOwJ8V\n0BY7AjNKlGLXlgQijYMpHLrGoEI+68/t6wbfY0dgRn04zqwtCUR6AvZz6BoDBY5hR+DN9RsK\nW+NzuIO+sIRZW/giXU6uyKFnFF5hvnyVdCw1d/lBbz6BUczawhfpe+vUKH0fpmNH4E0nWIod\ngR074RlmbeGL9JJ1FjJeBv2xI3AmvWgxsw8v9iAzXwVmbeGLdEeyRS6UO0o8MV91XjIWQzfs\nCCy5P4bZIGN0kfZboCCNm8wka4x1Ckw7+Bk7Aku6wVpWTaGL9B5M5NAxEpXyWvv897UiJS21\n6PQU+IBVU+giPcVy5CA2jSy+3NgiplN48PkdurJqCluka/nKcugXi94Wr6T/nMXO71+Oq8Wq\nKVyRLk5rAe059IvFFGsXibxS4EaLVe6rlMzqJCSqSNtvAoDk7zh0jMRPFpkQEoAvWa8XiU5L\n2M6oJUyRsqqpdQ6KMq3BjMo/0AQ7Ak9asDvJJQmjYR6jliIRaduIVl0nngm2JbhIO1yVd1j9\nX/DJTL4LOwJH0vKVttpJyaXMlu+MQKTlqSl9uiltDwbZElyktS6RJofbs7xUyWO1l5oHX0Bv\n7AisOclswTTjIqW1aHHAbl+s9MwKvCW4SGfinSJZ6ExQKhzGjsCPprABOwJzbirKqCHjIn2l\nqKsnD1B2BN4S4mTDYNWjFAu9ifexyKx5LS4m32ah35SLhqze+YyL1EtRIyxS5gbeEkKk66OL\nQ76XrFBH2s1U+BA7AjfmWXFI7kD4lk1DhkXKauosAL1FGRlwi44Lsmet9Sb3M7yGHYEbjWAT\ndgT2zGe1drFhka4obdTb/Uo/7S2T69Wr97xFSgnq5l9r1JfX4r+kO7EjcGAvqwH7hkW6oDgH\n1J9Qemlv+bZv374Do02krLxVsCPwYjYMwo7AgayCt7NpyPhHu5R26u0BZUjALWGsam4VqiZb\nbBBNDv8H27Aj8OBh23km7Rg/2dCmqXqzVZkYeEv0idQEDmFH4MGpN5vFlsEOwYWXGF19MS5S\nb0Vd9nWxMi/wlugT6TW2a2VLwtbCjusU72HH4MF0mMSkHeMiLVAWOW6GKvuDbIk6kabBVOwI\nHHAOikyy0MyxHP6ADkzaMS7S+dQ2p+z2tY0cg5Wu7dmT6b3FSfSJ9Au8ih2BPQddY7ksNJc5\nh6vxdzNpJ4KxdstSWr4zuHEbx8i6w4qS5r3FSfSJdARSsCOwZ6dLJHZV4CTirsR0Fs1EMvp7\n/fBWXSeotUVdInlscRJ9ImXlrYwdgT3XCjtFWo4dhAdtgckyi9hTzS3HXYkWPP89S/WoKXYM\nLoyDWSyaIZEY0xT+wY7Agc9iYm4fYpn6g16sYFPpl0RiTD9LfgD6HTpjR+DFOdsjLJohkRjz\nEbtSaRIx3sJVzcsUYjFwmkRizK/Wm0Zqd1Rr2BF6J5OSCgcYtEIiMeYoNMKOwIFbC1nwFIqL\nofA1g1ZIJNbkt8xyT7kchQbYEfixEIYwaIVEYk31REuVx1b5EoZiR+DHQSbX0Ekk1jRj8pFb\nLvowXCNSPordwqAREok1/a20pp2L2raz2BE48igwKFFKIrFmBryPHYE16XkqYUfgySsspr6Q\nSKxZZZ01cd1sYDTVQFLmwNjIGyGRWHMcnsKOwJpJMA07Ak+2QuvIGyGRmJO/PHYC1rS0ZrkG\nNxmJt++LeHADicScGglWO/99WwGr/Y88SX/JBnB/pCM3SCTmNIf9oXcyEyeYVZqXkr7qHJE7\nIlzfnERizuvwI3YEtiy0ZEU7N2lJzlmLMyNrhkRiziyrldvpDxZaVNGPva559BG+WZBIzFkN\nPbEjsKWuzTprKvrzX5xTpAhnv5BIzDkBDbEjMOV6PsudhvSijerRDScja4VEYk9Ba1Wb/xPa\nYkfgyn/1sz0qsSLCVkgk9tSMZ1LgSRYmwxTsCJzZ0DLyac0kEnuegb3YEVjSmk29KplZDS9G\n2gSJxJ6B8AN2BJbckTcDOwJv0uLuj7QJEok9s+Fd7AgMOW17FDsCfyonRfppnERizxrogR2B\nId/CAOwI/Im83CqJxJ5T8CR2BIa8DouwI/BnUsTlxkgkDhQuh52AIY/CcewI/PkNXoiwBRKJ\nA/fEWef8d2YBK70rBCItrlaELZBIHHgW9mBHYMYWFrPe5KdKpGcbSCQODIbF2BGYMQUmY0cQ\nQcRnG0gkDnxsobXt2sEf2BFEMAk+iqwBEokDa6E7dgRmVMhj+cuxDtbA85E1QCJx4LR1Kvye\ni6mLHUEIaXH3RdYAicSDIrdjJ2DFYuiLHUEMVSM820Ai8eC+2GvYERgxmMlSDSagHWyK6HgS\niQfPwS7sCIz4HxwLvZMVeDfC2n0kEg+GWKXKQVahstgRBLEGukV0PInEg7kwHjsCG/6CltgR\nBHEl/t6IjieReLAu8olicjANJmFHEMVdiRF9ryWReHAWnsCOwIaOsB47gijaw5+RHE4icaGo\nRb5aVEqyyunHkLwX2dkGEokL91vj/Pf5mNrYEYSxNrKzDSQSF1rB39gRWPAjvIodQRhX4u+J\n5HASiQtvwLfYEVgwFKLoF3hXQiSfIkgkLnwC47AjsKABHMaOII4OEY1zJ5G4sD7SwcRSkFWE\nxXrfZmEyfBjB0SQSF85bYkmhndACO4JAfoeuERxNIvGhWBnsBAyYYZUBGrq4El8zgqNJJD48\nEHMFO0LkdIG12BFEUi3hqvGDSSQ+tIFIFyWVgKqJEbyyzEdH2Gj8YBKJD8PgG+wIEXMh9gHs\nCEJ5H6YaP5hE4sOn8A52hIhZDr1C72Qh1kEX4weTSHzYGOH0FhkYDl9gRxBKRGcbSCQ+/AeP\nYUeImIZwCDuCWKpHcLaBROLEDaa/lplVrBR2BMFEcraBROLEQzGXsSNEyG54GjuCYN6PYJFP\nEokTbeEv7AgRMtsC50vCYz10NnwsicSJN2EhdoQIeR5WY0cQzNX4uw0fSyJx4nMYgx0hQqrH\nm/3DadjUMH62gUTixJ+RXJSQgUuRFvE1IZ1gg9FDSSROXIR62BEiYwX0xI4gnA/gA6OHkki8\nKFEaO0FkjIRPsSMIZz10MnooicSL2jZzf8VoBAewIwjnWkINo4eSSLxoD9uwI0REiRLYCRC4\nO97o7BcSiRcj4CvsCJGwDxpjR0Cgs+GCmCQSL76A0dgRImGuueMbZIrhsw0kEi82RXCZXAK6\nw6/YERDYYPhsA4nEi0u2R7AjRELNuEvYERC4lljd4JEkEjduvAk7QQRcjqgSiHkxfLaBROJG\nHZuJ39NXWmhh9nDoAuuMHUgicaMDbMGOYJR/+1SE17FDoDAV3jd2IInEjbdMWzh7fV7IZhR2\nDAw2QkdjB5JI3Fhg1pdiVgWHR5C0HTsIAtcSqxk7kETixhajb27Y7Acn0VRmNYeaBs82kEjc\nSLPVwY5gjL9dIkXjFVl7F/jd0HEkEj9KmbR4SEZxp0grsYNg8CFMNnQcicSNL/JDuRGmrPk7\nX/WoDXYMFP6ADoaOI5F48aH6anzOY8ui2jdUH5eOFigMpkBSTXMkZY7Rsw0kEicu53d+PlqV\ns2W2+rg9YibdjIGPsCOgcU+coXlkJBInNru+sZd+tEn7XkPHz/zqx3zODWZYKeUJ+Ac7Ahpd\njf2GSCRO7HKJFAc+TMBOFporyeWxI+DxIbxn5DASiROuq5rJB9KO7li75LOpozq7RDJcXkMc\ny6J0oJ3Kn8Y+fZNIvNhY0KFN7oo7meWc4wX2ImbSSR9YhB0Bj/Sku4wcRiJx4/gbz766yePx\nWnUE20S0PPqpHvcfdgRE7o1NM3AUiSSOf/sVg+XYIXRwKuZh7AiYdDN0toFEEkm3SFYpFcY8\nGIYdAZNp8K6Bo0gkkYyFT7Aj6KCdKU7Rc2MTtDNwFIkkkkXwBnYEHZQulIEdAZP0pKoGjiKR\nRPI3tMKOEJrt0AQ7Ai73xRqoEUAiieSaGVZ4mGCGS108eR7WhH8QiSSU2wtjJwhNQzDBpS6e\nfGTkbAOJJJQn4RR2hFBcy1cGOwIyhs42kEhC6QG/YUcIxS/QFTsCMhnJVcI/iEQSyrswCztC\nKF6HBdgRsDFytoFEEsqP8peLuzf2DHYEbF4w8LmBRBLKfmiGHSEEZ2NrYUdAZzpMCvsYEkko\nmUlGi7SLYj4Mwo6AzmZoG/YxJJJYKuXNwo4QnC7RWTzIi6sJJWYcD/MYEkksKXAYO0JwyuaP\nzqInHpy8GwAKhLneIokklj6wAjtCUPbAU9gR0ElVZ2AWOBTWQSSSWD70mDMrI5NNMfOQK+di\njBTXIJHE8gv0xo4QlMawAzsCNu7S5+GddCGRxHIEGmFHCMb1wmZeZpANV1110+aFdRSJJJas\n/BWxIwTjN4MFey3FaNWjGuFVmyaRBFM94Tp2hCAMhU+xI+CTOTI/QLHwzjWQSKJpDvuwIwTh\nIdsJ7AgycH3/vbYD4R1CIgnmdViCHSEwF+Lvxo4gCZPCXR2KRBLMLAPjuISxEPpiR5CEk3Fh\nLkpBIglmDbyEHSEwL5qi7p4Q6sO2sPYnkQRzChpgRwjMnUmGljSxIrNhQFj7k0iiKXIbdoKA\nHIT62BGk4VLeW8MaXkwiiaZWrLTLYU6Dd7AjyEMLWB3O7iSSaFrDTuwIgWgOW7AjyMM38EI4\nu5NIohkG32BHCEBm8RKST5YSSXrRYuFMKCGRRPOptJ+fNpihDqw4usL3YexNIonmD2nLXY2E\n2dgRZOJXryXpQ0EiieaCrR52hADUg3+xI8hEVpm8F/XvTSIJp+TN2Am0SUs0UBfRyrwWzkwK\nEkk4dWwGFjsQwGLoFXqnaGIzNNS/M4kknI6wGTuCJr1gMXYEyagSp38sPIkknFEwHzuCJpUT\n5PxLiccImKx7XxJJOF/BCOwIWhyT9iQIGgdtD+nel0QSzjZDa5RyZzaMxI4gHQ/Z9uvdlUQS\nztUY/e9zAmkFG7AjSMdk/W8uJJJ4bi2OnUCDrBuLZmJnkI5T8bpL1ZBI4nkczmJH8GcLNMeO\nICENdQ/jJZHE8wKsw47gzxiYhh1BQubpnntPIolnPMzFjuDPE3AAO4KEpOUrrfMDL4kknu9g\nCHYEP67kuRM7gpS0hF/17UgiiWc3PIsdwY9l0B07gpR8p3esPokknoz4e7Aj+PGatNMNccm4\nobC+ygAkEgJ3FMBO4EeNuPPYEeTkBZ3vMCQSAg0h3IUVeXMqpjZ2BElZDS107UciIdALVmFH\n8GL540XgyQzsFHKSVTbpPz37kUgIvA/TsSN4Ml9dxkTKAYAS0B/m6NktEpG2jWjVdeIZjw2D\nFCfH3BtIJE2WQT/sCB5kFHcurCXXX0lp2KGvNG4EIi1PTenTTWl7MHdLx9QuKifdG0gkTf6B\nJtgRPNjpWurxbewgklItTs83WuMipbVoccBuX6z0zKmFltHI942WRNIkM7kqdgQP9oGRxYej\nh9G61g8xLtJXijrRc4CSs3rvv4pvjySSNlWSJRppnVXeKdJ27CCScijmfh17GRepl3LYcbNI\nyRk4tl7x9YZE0qYJhLmwIld+T3Z49BZ2DGmpA7tD72RYpKymjdXbLUrO3KeFypxhrVoN9Kg9\nTiJp01eudYjGwJ2dVmCHkJcpMDz0ToZFuqK0UW/3KzlfjN5XlFYDe6Yo76qPtnz55ZfjSSRN\nPoIPsCN4khLmolpRxtnECqF3MizSBaWbswElp4UhqTOzsr+7tlfWOB6NrVmzZicSSZOV8Ap2\nBA8u5y2DHUFuGsEfIfcJX6Trsx1kZKU4r+AdUIb47LBKeVNteceOHTNIJE2OwVPYETxYBC9j\nR5Cbz6B3yH3CFyldveZ6xd6mqfpwqzLRZ4cLSkf3XfqOFICC5bETeNAJfsaOIDdXCpS6Hmof\n42fteitqGcrFirtAcla6s7c0pad7HxIpADXjw1l7hy+ZJQvJE0ZOWsMrX4cYcWdcpAXKIsfN\nUMVd+uuU8qJ6u14Zn7MPiaTNM7AHO0IOa2hZpBCcuwsASiwNuo9xkc6ntjllt69t1Cf7/rU9\nezLt9n7KvCy7/VDn1JyqeiRSAAZLVGe7P3yOHUFyWqoXrIseC7ZPBGPtlqW0fGdw4zaOsXaH\nFSUtu60eSqfhvVNTFuXsQiIF4GOJBuRUij+HHUFu/ot1Dv14L9hOkYz+Xj+8VdcJqqZOkezX\n5vZv0fktjw8tJFIA1oW30i9P9sIT2BEkxz0YcWCwnWg+Egpn4X/YEdyMDWPJhejkSh6nSEEX\nBiWRcCgmzTXQujaZZl9TOwAAEGNJREFUxv1JySDVowppwfYhkXB4IOYKdgQnZ+Luxo4gPRl9\nEgDq7Aq6D4mEQ1v4CzuCk9kwFDuCCbj4x+EQe5BIOLwJX2NHcNIUNmFHsAQkEg6fw2jsCCpX\n89+SFXovIiQkEg6boBN2BJXFVKqYDSQSDpdsdbEjqHSD4CNfCJ2QSEjcdCN2AgdZNxe4hp3B\nGpBISDwCF7AjZLNBZ0FeIhQkEhJd4E/sCHbHpcZ5oXcidEAiITEGPsOOkM1d8RIuZ2tKSCQk\nFuopTcObg/AYdgSrQCIhsQPaYEew2ydKNJvD5JBISFyL1VO/kzOPwf7QOxF6IJGwKFsEO4H9\nfMJd2BEsA4mERX04E3onvnwSfK4aEQYkEhbdYS12hGdgPXYEy0AiYTFR30pwHEkvVIoGrLKC\nRMLiBxiEnGApdENOYCFIJCz2oo/O6S5RTTDTQyJhcT0Be453mXySTHe3AiQSGhXy4X5D2QRN\nUfu3FiQSGgocRe1/aPD6UkRYkEho9IZfUPuvGXsKtX9rQSKhMQWmYXZ/2FYHs3urQSKh8RO8\nhtn9ZHgHs3urQSKh8S+kYnZfH4JXPCTCgkRCIytvZcTeLyZWQuzdepBIeNyVGHJBRX58Af1C\n70TohkTC42k4gNd5K1iD17kFIZHwGIBYU+560Rsy0Tq3IiQSHjODrwHHlZ+hY+idCP2QSHis\nhp6hd+JEL/gGrW9LQiLhcRL+D63vO5KDLptFhAuJhEjhclg9b4MUrK4tComEyL1xWIW3R8B0\npJ6tComEyHNogwtqxRxD6tmqkEiIDIVvMbrN+nWMrRZGx1aGREJkHoxD6PXUQwBQYCVCz1aG\nREJkAzyP0Guqutj9jehV9awFiYTIeYwa9sdtqkgwU3zXVoZEwqREafF9bnV6BG+J79rKkEiI\n/FAQakzMENzp+XinSPMF92txSCQ85qkvaOFj3l5Ru612VXS/1oZEQuNaYeefBtElwK/Wzu70\nMVrPhS0kEhruLyvjRXdcLXbJEdF9Wh4SCY2/XSJNFtzvZmgguMdogERCI/N21aOE3YL7fQU+\nFdxjNEAi4fFbHodISVvE9ppRsgDNoGAPiYTIP6827NIfbjoktNPvoJPQ/qIEEgmbwVDlfCTH\nn1q9P6xi/M2BhtlxgETCJqs91DM+Lely5xiAh/foP+B8chlapo8DJBI66fXhOcOv7RfUExZV\n9C90NBWGGO2LCAKJhM9/1Qy/uM/GOk+hf6H7iNq2vQb7IoJBIknAkdK2GcaO3Oy6FjVK7wF7\nbbWN9UQEh0SSge2F45cYOtA9J0L3AumDcdeSsS4kkhT8mpj/T0MHNlU9uvmcz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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "library(ggplot2)\n", "plot_ts(x=sin_data$x, y=sin_data$y) + theme(text = element_text(size=16))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### lowess filter" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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hQDWDsTHoklogYNGjg5Oen9mXD16tUuXbocOnSoT58+cXFxAwcONMl3rCwiIkKj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\n990HuVz28cfYsGHD7373O9GJLKnY9fT0aDQab2/vAeMeHh4Ab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p1tyOqqk5ubO3PmzJYtW/br1699+/a+vr5XrlwxwHV9fOTXX2X8+Ep2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\n/fotW7bs6S8HABUR7ACYGZVK9fbbbxcVFa1evfopT5WTk3PixIlu3bq1atX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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "filter <- ts_fil_lowess(f = 0.2)\n", "filter <- fit(filter, sin_data$y)\n", "y <- transform(filter, sin_data$y)\n", "plot_ts_pred(y=sin_data$y, yadj=y) + theme(text = element_text(size=16))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "4.3.3" } }, "nbformat": 4, "nbformat_minor": 4 }