{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Time series preprocessing" ] }, { "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": [ "### Noise cosine series for studying" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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Tu1/vJ5kLORgnwI+o16HVwjNfI+rN4atIPs8R5tHl7LAO6TMePakEiAq+RB2hJ/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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 300, "width": 360 } }, "output_type": "display_data" } ], "source": [ "i <- seq(0, 2*pi+8*pi/50, pi/50)\n", "x <- cos(i)\n", "noise <- rnorm(length(x), 0, sd(x)/10)\n", "\n", "x <- x + noise\n", "x[30] <-rnorm(1, 0, sd(x))\n", "\n", "x[60] <-rnorm(1, 0, sd(x))\n", "\n", "x[90] <-rnorm(1, 0, sd(x))\n", "\n", "\n", "options(repr.plot.width=6, repr.plot.height=5) \n", "par(mfrow = c(1, 1))\n", "plot(i, x)\n", "lines(i, x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### sliding windows" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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ym8vsS7jXGYsUUlylBspucoFUuLNOdz2K5/MlIqdGF0xclIIXFB965L31zyVN0q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\n3Aoy4tWXu3E2MUYKT45u3ruXXY4Ql0D1PIAhbsxf862Da0ZsfNQ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bfJRyuFDBEG11M41++WHe/pHsNiVKW1Er7h7u4MuElI/t7iTKwIbY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", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 300, "width": 360 } }, "output_type": "display_data" } ], "source": [ "sw_size <- 10\n", "xw <- ts_data(x, sw_size)\n", "i <- 1:nrow(xw)\n", "y <- xw[,sw_size]\n", "\n", "plot(i, y)\n", "lines(i, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### augment" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "filter <- tspredit::ts_aug_awaresmooth(0.25)\n", "xa <- transform(filter, xw)\n", "idx <- attr(xa, \"idx\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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RyLWQwYGC/zcgghwGM89jiPq14VHb2EklGMArrTfSc7I4kEOtGpC10KKXTirKNO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hDhw44OPj03C3UuqlYBhm4sSJX3/9dVFR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\nb7dSspJ7adeuXT4+PpRwEKKHqMJB9JRYLJZKpUUO6lXCscJkxUqsfCl8+Y7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ER0dHR0dbWFhwl83IyJg/fz4AMJg3b55ILZqACQAsYKGG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\nAABJRU5ErkJggg==", "text/plain": [ "Plot with title “cosine”" ] }, "metadata": { "image/png": { "height": 300, "width": 360 } }, "output_type": "display_data" } ], "source": [ "plot(x = i, y = y, main = \"cosine\")\n", "lines(x = i, y = y, col=\"black\")\n", "for (j in 1:nrow(xa)) {\n", "lines(x = (idx[j]-sw_size+1):idx[j], y = xa[j,1:sw_size], col=\"green\")\n", "}" ] } ], "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 }