{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Filter - REMD" ] }, { "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\") \n", "\n", "source(\"https://raw.githubusercontent.com/cefet-rj-dal/tspredit/main/R/ts_fil_remd.R\")" ] }, { "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$y[30] + spike" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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9O6edl1FMc+A94TV06WD4RdTSFPkNJLJgufPeHm1gTHm4Cn/U/ifEb0koNK6QDb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\n/rV1UPb75pCCNNZsJ8ez2e6Cpdg1cFUpyYQ9c+/WglTB6DiRB2m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TFCRh1kNP7BI8fQgOyTux6zAFCpIwV2PuwC7B063OIMFA7DpMgYIk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\nQSKEAQoSIQz8H6qn7fTTQiopAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "library(ggplot2)\n", "plot_ts(x=sin_data$x, y=sin_data$y) + theme(text = element_text(size=16))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### smooth" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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GDXNhw+AQAskslkbm5uIpGI70L4h6Yn+gnBzlDJ5fLExER3d/devXrxXYtewxM7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\n2AEAAEiCsAMAAJAEYQcAACCJ/wEoDm0eLrpeEgAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "filter <- ts_fil_remd()\n", "filter <- fit(filter, sin_data$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 }