{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Time series augmentation - stretch" ] }, { "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" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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Fahjowb9zPPKkvnIi63aFBK/JnqLYEi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", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "data(sin_data)\n", "library(ggplot2)\n", "plot_ts(x=sin_data$x, y=sin_data$y) + theme(text = element_text(size=16))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sliding windows" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "sw_size <- 10\n", "xw <- ts_data(sin_data$y, sw_size)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Augment" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A matrix: 6 × 10 of type dbl
t9t8t7t6t5t4t3t2t1t0
0.00000000.24740400.47942550.68163880.84147100.94898460.99749500.9839859 0.9092974 0.7780732
0.24740400.47942550.68163880.84147100.94898460.99749500.98398590.9092974 0.7780732 0.5984721
0.47942550.68163880.84147100.94898460.99749500.98398590.90929740.7780732 0.5984721 0.3816610
0.68163880.84147100.94898460.99749500.98398590.90929740.77807320.5984721 0.3816610 0.1411200
0.84147100.94898460.99749500.98398590.90929740.77807320.59847210.3816610 0.1411200-0.1081951
0.94898460.99749500.98398590.90929740.77807320.59847210.38166100.1411200-0.1081951-0.3507832
\n" ], "text/latex": [ "A matrix: 6 × 10 of type dbl\n", "\\begin{tabular}{llllllllll}\n", " t9 & t8 & t7 & t6 & t5 & t4 & t3 & t2 & t1 & t0\\\\\n", "\\hline\n", "\t 0.0000000 & 0.2474040 & 0.4794255 & 0.6816388 & 0.8414710 & 0.9489846 & 0.9974950 & 0.9839859 & 0.9092974 & 0.7780732\\\\\n", "\t 0.2474040 & 0.4794255 & 0.6816388 & 0.8414710 & 0.9489846 & 0.9974950 & 0.9839859 & 0.9092974 & 0.7780732 & 0.5984721\\\\\n", "\t 0.4794255 & 0.6816388 & 0.8414710 & 0.9489846 & 0.9974950 & 0.9839859 & 0.9092974 & 0.7780732 & 0.5984721 & 0.3816610\\\\\n", "\t 0.6816388 & 0.8414710 & 0.9489846 & 0.9974950 & 0.9839859 & 0.9092974 & 0.7780732 & 0.5984721 & 0.3816610 & 0.1411200\\\\\n", "\t 0.8414710 & 0.9489846 & 0.9974950 & 0.9839859 & 0.9092974 & 0.7780732 & 0.5984721 & 0.3816610 & 0.1411200 & -0.1081951\\\\\n", "\t 0.9489846 & 0.9974950 & 0.9839859 & 0.9092974 & 0.7780732 & 0.5984721 & 0.3816610 & 0.1411200 & -0.1081951 & -0.3507832\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A matrix: 6 × 10 of type dbl\n", "\n", "| t9 | t8 | t7 | t6 | t5 | t4 | t3 | t2 | t1 | t0 |\n", "|---|---|---|---|---|---|---|---|---|---|\n", "| 0.0000000 | 0.2474040 | 0.4794255 | 0.6816388 | 0.8414710 | 0.9489846 | 0.9974950 | 0.9839859 | 0.9092974 | 0.7780732 |\n", "| 0.2474040 | 0.4794255 | 0.6816388 | 0.8414710 | 0.9489846 | 0.9974950 | 0.9839859 | 0.9092974 | 0.7780732 | 0.5984721 |\n", "| 0.4794255 | 0.6816388 | 0.8414710 | 0.9489846 | 0.9974950 | 0.9839859 | 0.9092974 | 0.7780732 | 0.5984721 | 0.3816610 |\n", "| 0.6816388 | 0.8414710 | 0.9489846 | 0.9974950 | 0.9839859 | 0.9092974 | 0.7780732 | 0.5984721 | 0.3816610 | 0.1411200 |\n", "| 0.8414710 | 0.9489846 | 0.9974950 | 0.9839859 | 0.9092974 | 0.7780732 | 0.5984721 | 0.3816610 | 0.1411200 | -0.1081951 |\n", "| 0.9489846 | 0.9974950 | 0.9839859 | 0.9092974 | 0.7780732 | 0.5984721 | 0.3816610 | 0.1411200 | -0.1081951 | -0.3507832 |\n", "\n" ], "text/plain": [ " t9 t8 t7 t6 t5 t4 t3 \n", "[1,] 0.0000000 0.2474040 0.4794255 0.6816388 0.8414710 0.9489846 0.9974950\n", "[2,] 0.2474040 0.4794255 0.6816388 0.8414710 0.9489846 0.9974950 0.9839859\n", "[3,] 0.4794255 0.6816388 0.8414710 0.9489846 0.9974950 0.9839859 0.9092974\n", "[4,] 0.6816388 0.8414710 0.9489846 0.9974950 0.9839859 0.9092974 0.7780732\n", "[5,] 0.8414710 0.9489846 0.9974950 0.9839859 0.9092974 0.7780732 0.5984721\n", "[6,] 0.9489846 0.9974950 0.9839859 0.9092974 0.7780732 0.5984721 0.3816610\n", " t2 t1 t0 \n", "[1,] 0.9839859 0.9092974 0.7780732\n", "[2,] 0.9092974 0.7780732 0.5984721\n", "[3,] 0.7780732 0.5984721 0.3816610\n", "[4,] 0.5984721 0.3816610 0.1411200\n", "[5,] 0.3816610 0.1411200 -0.1081951\n", "[6,] 0.1411200 -0.1081951 -0.3507832" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "augment <- ts_aug_stretch()\n", "augment <- fit(augment, xw)\n", "xa <- transform(augment, xw)\n", "idx <- attr(xa, \"idx\")\n", "ts_head(xa)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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Dwx51XMYlYCCYZSdj309NJreXMhxPS00ppLrnljvl1g10wzH3/1MjPnRgQvOzpn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\nbdu2bdiw4bw9pfNGCy0jjBRTrKLu55RytfNPAKIb+8zcM9q6p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b2Vsu5IanacEq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2AFS/xFiS6wYArsDOmx0jg11Ghp1jDhX/LL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\nQmCC", "text/plain": [ "Plot with title “cosine”" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "i <- 1:nrow(xw)\n", "y <- xw[,sw_size]\n", "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", "}" ] }, { "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 }