{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Time series augmentation - none" ] }, { "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": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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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_none()\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": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nKHYAAIFQ7AAAAqHYAQAEQrEDAAjEfwDRaQz9UjnCqQAAAABJRU5ErkJggg==", "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 }