From 9a99b177550e71827a9db5f9b88e031c0291fe0c Mon Sep 17 00:00:00 2001 From: Thierry Moudiki Date: Mon, 11 Mar 2024 12:30:58 +0100 Subject: [PATCH 1/8] add paper --- .github/workflows/draft-pdf.yml | 23 + paper.ipynb | 800 ++++++++++++++++++++++++++++++++ paper.md | 267 +++++++++++ paper_files/paper_11_0.png | Bin 0 -> 38316 bytes paper_files/paper_14_0.png | Bin 0 -> 31838 bytes paper_files/paper_17_0.png | Bin 0 -> 40279 bytes paper_files/paper_19_1.png | Bin 0 -> 41421 bytes paper_files/paper_22_0.png | Bin 0 -> 37381 bytes paper_files/paper_24_1.png | Bin 0 -> 38669 bytes paper_files/paper_26_0.png | Bin 0 -> 34306 bytes paper_files/paper_30_1.png | Bin 0 -> 83195 bytes 11 files changed, 1090 insertions(+) create mode 100644 .github/workflows/draft-pdf.yml create mode 100644 paper.ipynb create mode 100644 paper.md create mode 100644 paper_files/paper_11_0.png create mode 100644 paper_files/paper_14_0.png create mode 100644 paper_files/paper_17_0.png create mode 100644 paper_files/paper_19_1.png create mode 100644 paper_files/paper_22_0.png create mode 100644 paper_files/paper_24_1.png create mode 100644 paper_files/paper_26_0.png create mode 100644 paper_files/paper_30_1.png diff --git a/.github/workflows/draft-pdf.yml b/.github/workflows/draft-pdf.yml new file mode 100644 index 0000000..08a5ede --- /dev/null +++ b/.github/workflows/draft-pdf.yml @@ -0,0 +1,23 @@ +on: [push] + +jobs: + paper: + runs-on: ubuntu-latest + name: Paper Draft + steps: + - name: Checkout + uses: actions/checkout@v4 + - name: Build draft PDF + uses: openjournals/openjournals-draft-action@master + with: + journal: joss + # This should be the path to the paper within your repo. + paper-path: paper.md + - name: Upload + uses: actions/upload-artifact@v1 + with: + name: paper + # This is the output path where Pandoc will write the compiled + # PDF. Note, this should be the same directory as the input + # paper.md + path: paper.pdf \ No newline at end of file diff --git a/paper.ipynb b/paper.ipynb new file mode 100644 index 0000000..1e63ff3 --- /dev/null +++ b/paper.ipynb @@ -0,0 +1,800 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "hEfOi28Cp22z" + }, + "source": [ + "\n", + " \"Open\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "e_stFb7vzFAp" + }, + "source": [ + "---\n", + "title: '`ahead`: Univariate and multivariate time series forecasting with uncertainty quantification (including simulation approaches)'\n", + "tags:\n", + "- Python\n", + "- R\n", + "- Julia\n", + "- Time series\n", + "- Forecasting\n", + "- Machine Learning\n", + "- Uncertainty\n", + "date: \"March 10, 2024\"\n", + "output:\n", + " pdf_document: default\n", + "html_document:\n", + " df_print: paged\n", + "urlcolor: blue\n", + "author: \"T. Moudiki\"\n", + "affiliation: \"techtonique.github.io\"\n", + "authors:\n", + "- name: \"T. Moudiki\"\n", + " orcid: \"0000-0002-9422-5459\"\n", + " equal-contrib: yes\n", + " affiliation: 1, 2\n", + "- name: Author with no affiliation\n", + " corresponding: yes\n", + " affiliation: 3\n", + "bibliography: biblio.bib\n", + "aas-doi: \"10.3847/xxxxx <- update this with the DOI from AAS once you know it.\"\n", + "aas-journal: \"Journal of Open Source Software.\"\n", + "affiliations:\n", + "- name: T Moudiki\n", + "---" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "CEvdxZOfp23H", + "outputId": "951bc805-9487-48cd-d834-048349b6ad75" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Requirement already satisfied: rpy2 in ./venv/lib/python3.11/site-packages (3.5.15)\n", + "Requirement already satisfied: cffi>=1.10.0 in ./venv/lib/python3.11/site-packages (from rpy2) (1.16.0)\n", + "Requirement already satisfied: jinja2 in ./venv/lib/python3.11/site-packages (from rpy2) (3.1.3)\n", + "Requirement already satisfied: tzlocal in ./venv/lib/python3.11/site-packages (from rpy2) (5.2)\n", + "Requirement already satisfied: pycparser in ./venv/lib/python3.11/site-packages (from cffi>=1.10.0->rpy2) (2.21)\n", + "Requirement already satisfied: MarkupSafe>=2.0 in ./venv/lib/python3.11/site-packages (from jinja2->rpy2) (2.1.5)\n" + ] + } + ], + "source": [ + "!pip install rpy2" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4rh4FsBk9B6n" + }, + "source": [ + "# Summary\n", + "\n", + "This paper presents two original Machine Learning methods implemented in the `ahead` package for forecasting univariate and multivariate time series. `dynrmf` is an autoregressive model that can utilize any Machine Learning model for forecasting univariate time series, while `ridge2f` extends ridge regression with two regularization parameters and a hidden layer for producing nonlinear outputs." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "WpeiwBU9zMZm" + }, + "source": [ + "# Statement of need\n", + "\n", + "Forecasting Multivariate time series (MTS hereafter) is important for business planning and decision support in finance, insurance, and other industries such as *Energy* (load anticipation) and meteorology. One can obtain point forecasts from a statistical/Machine Learning (ML) model, but these point forecasts are generally of limited importance to analysts. What matters more is the model's ability to quantify the uncertainty around its predictions. \n", + "\n", + "There are multiple MTS forecasting methods implemented in [\\textsf{R} package](https://github.com/Techtonique/ahead) `ahead`'s version `0.11.0` (there are also [\\textsf{Python}](https://github.com/Techtonique/ahead_python) and [\\textsf{Julia}](https://github.com/Techtonique/Ahead.jl) implementations, both following \\textsf{R}'s API as closely as possible). `ahead` is available through the [R-universe](https://techtonique.r-universe.dev/builds), which allows the package to be continuously integrated and distributed across all major platforms (Windows, macOS, Linux).\n", + "\n", + "All of `ahead`'s forecasting methods include parametric prediction intervals alongside non-parametric, simulation-based uncertainty quantification techniques. This paper describes **two** of these Machine Learning methods, **not available in any other statistical software**:\n", + "\n", + "* \\mbox{\\texttt{dynrmf}}; an autoregressive dynamic Machine Learning model inspired by NNAR (**N**eural **N**etwork **A**uto**r**egression), see @hyndman2013forecasting. As NNAR, \\mbox{\\texttt{dynrmf}} does an automatic choice of the number of autoregressive and seasonal time series lags. However, instead of an artificial neural network, as implemented in NNAR, \\mbox{\\texttt{dynrmf}} __can use any ML model__.\n", + "\n", + "* \\mbox{\\texttt{ahead::ridge2f}} (@moudiki2018multiple) implements a __quasi-randomized *neural* networks__ model extending [ridge regression](https://en.wikipedia.org/wiki/Ridge_regression) to 2 regularization parameters, and capable of producing nonlinear outputs thanks to the use of a *hidden layer*. \\newline Since its first publication in 2018, \\mbox{\\texttt{ahead::ridge2f}} has been enhanced for integrating uncertainty quantification through the (independent and block) bootstrap (@efron1986bootstrap) and copulas simulations (@brechmann2013modeling, @nagler2023vine). Future (ongoing) developments include conformal prediction (@vovk2005algorithmic) and Kernel Density Estimation (@silverman2018density).\n", + "\n", + "# Examples\n", + "\n", + "## Install `ahead` in \\textsf{R}\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "x-xm_pBevIJT" + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ZNPugoMEx1J0", + "outputId": "6600afcd-ae13-442b-da5f-8d4e535733a9" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The rpy2.ipython extension is already loaded. To reload it, use:\n", + " %reload_ext rpy2.ipython\n" + ] + } + ], + "source": [ + "%load_ext rpy2.ipython" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "id": "gQ6LsZVzx5lY" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Les packages binaires téléchargés sont dans\n", + "\t/var/folders/cp/q8d6040n3m38d22z3hkk1zc40000gn/T//RtmpLUGsJa/downloaded_packages\n", + "\n", + "Les packages binaires téléchargés sont dans\n", + "\t/var/folders/cp/q8d6040n3m38d22z3hkk1zc40000gn/T//RtmpLUGsJa/downloaded_packages\n", + "\n", + "Les packages binaires téléchargés sont dans\n", + "\t/var/folders/cp/q8d6040n3m38d22z3hkk1zc40000gn/T//RtmpLUGsJa/downloaded_packages\n", + "\n", + "Les packages binaires téléchargés sont dans\n", + "\t/var/folders/cp/q8d6040n3m38d22z3hkk1zc40000gn/T//RtmpLUGsJa/downloaded_packages\n", + "\n", + "Les packages binaires téléchargés sont dans\n", + 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"display_data" + } + ], + "source": [ + "%%R\n", + "options(repos = c(\n", + " techtonique = 'https://techtonique.r-universe.dev',\n", + " CRAN = 'https://cloud.r-project.org'))\n", + "utils::install.packages(\"rmarkdown\", repos = c(CRAN=\"https://cloud.r-project.org\"))\n", + "utils::install.packages(\"remotes\", repos = c(CRAN=\"https://cloud.r-project.org\"))\n", + "utils::install.packages(\"forecast\", repos = c(CRAN=\"https://cloud.r-project.org\"))\n", + "utils::install.packages(\"fpp\", repos = c(CRAN=\"https://cloud.r-project.org\"))\n", + "utils::install.packages(\"ggplot2\", repos = c(CRAN=\"https://cloud.r-project.org\"))\n", + "utils::install.packages(\"e1071\", repos = c(CRAN=\"https://cloud.r-project.org\"))\n", + "utils::install.packages(\"randomForest\", repos = c(CRAN=\"https://cloud.r-project.org\"))\n", + "remotes::install_github(\"Techtonique/ahead\")\n", + "utils::install.packages(\"dfoptim\")" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "id": "qGsyTppiz5H7" + }, + "outputs": [], + "source": [ + "%%R\n", + "library(ahead)\n", + "library(forecast)\n", + "library(ggplot2)\n", + "library(randomForest)\n", + "library(e1071)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "P6TApEGNz9lz" + }, + "source": [ + "## Use `ahead::ridge2f`\n", + "\n", + "### Use `ahead::ridge2f` for univariate time series forecasting\n", + "\n", + "In all these examples, 5 nodes in the hidden layer and a ReLU activation function are used (default hyperparameters, see @goodfellow2016deep and @moudiki2018multiple for more details).\n", + "\n", + "The `fdeaths` data set below contains **monthly deaths of females from various diseases in the UK, 1974-1979**. Here's how to obtain 20-steps-ahead forecasts for `fdeaths` with `ahead::ridge2f`; including seasonality terms. The default level for the prediction interval is equal to 95%.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "id": "bMeIyl5l0DP0" + }, + "outputs": [], + "source": [ + "%%R\n", + "x <- fdeaths # input dataset\n", + "xreg <- ahead::createtrendseason(x) # add seasonality and trend\n", + "z <- ahead::ridge2f(x, xreg = xreg, h=20L) # forecasting h-steps ahead" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 497 + }, + "id": "SQGlrKOet28a", + "outputId": "d380dd12-a636-4ca8-e5e1-cd3e47365d89" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "ggplot2::autoplot(z) # plot forecast" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "GfWHWcP80Gs1" + }, + "source": [ + "`EuStocksLogReturns` contains the daily log-returns of major European stock indices, with 1860 observations. Only the first 100 dates of the DAX index dataset are used in the example below." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "id": "Uvki6hfQ0IQH" + }, + "outputs": [], + "source": [ + "%%R\n", + "data(EuStockMarkets)\n", + "EuStocks <- ts(EuStockMarkets[1:100, ],\n", + " start = start(EuStockMarkets),\n", + " frequency = frequency(EuStockMarkets)) # original data\n", + "EuStocksLogReturns <- ahead::getreturns(EuStocks, type = \"log\") # obtain log-returns\n", + "res <- ahead::ridge2f(EuStocksLogReturns[, \"DAX\"], h = 20L,\n", + "type_pi = \"movingblockbootstrap\",\n", + " show_progress = FALSE)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 497 + }, + "id": "DM7c0JuDt9X2", + "outputId": "f441f757-9722-4dd3-a1ae-de6a35e0acfd" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "ggplot2::autoplot(res) # plot forecast" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "N4AVg1wL0N_q" + }, + "source": [ + "### Use `ahead::dynrmf` for univariate time series forecasting\n", + "\n", + "`fdeaths` is used in this example too. The default model used by `ahead::dynrmf` is an automated ridge regression (automatic choice of the regularization parameter using Leave-One-Out cross-validation, see @bergmeir2018note):\n", + "\n", + "**- Forecasting with `randomForest::randomForest`**\n" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "id": "i2yeniM40V0i" + }, + "outputs": [], + "source": [ + "%%R\n", + "# Plotting forecasts\n", + "# With a Random Forest regressor, an horizon of 20,\n", + "# and a 95% prediction interval\n", + "fit_rf <- dynrmf(fdeaths, h=20, level=95, fit_func = randomForest::randomForest,\n", + " fit_params = list(ntree = 50), predict_func = predict)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 497 + }, + "id": "_5SyuyEOuT7Z", + "outputId": "d99b13e0-7d2a-4d7e-ff75-8842c617ce12" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "ggplot2::autoplot(fit_rf)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Go14D4Pj0ab0" + }, + "source": [ + "Check in-sample residuals:" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 640 + }, + "id": "u0W2C-Os0cJT", + "outputId": "45d5837d-bbc1-410a-f3a6-f7a3e338acb2" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "\tLjung-Box test\n", + "\n", + "data: Residuals from DynRM 1,1[12]\n", + "Q* = 9.8649, df = 12, p-value = 0.6278\n", + "\n", + "Model df: 0. Total lags used: 12\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "forecast::checkresiduals(fit_rf)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NiTYmUeo0hw6" + }, + "source": [ + "**- Forecasting with `e1071::svm`** (Support Vector Machines)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "id": "Qf7vv55T0fJJ" + }, + "outputs": [], + "source": [ + "%%R\n", + "# With a Support Vector Machine regressor, an horizon of 20,\n", + "# and a 95% prediction interval\n", + "fit_svm <- ahead::dynrmf(fdeaths, h=20, level=95, fit_func = e1071::svm,\n", + "fit_params = list(kernel = \"linear\"), predict_func = predict)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 497 + }, + "id": "07XmrSxtuZSL", + "outputId": "4438bdf2-ccde-4a58-c5ec-3ef9a87b247d" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "ggplot2::autoplot(fit_svm)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "LxgGPrBc0o9_" + }, + "source": [ + "Check in-sample residuals:" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 640 + }, + "id": "bX_tFmTh0p-3", + "outputId": "17a6f124-155f-4076-82bf-2f5086a582c7" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "\tLjung-Box test\n", + "\n", + "data: Residuals from DynRM 1,1[12]\n", + "Q* = 27.351, df = 12, p-value = 0.006875\n", + "\n", + "Model df: 0. Total lags used: 12\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "h <- 20L\n", + "res6 <- ahead::dynrmf(AirPassengers, xreg_fit = 1:length(AirPassengers),\n", + " xreg_predict = (length(AirPassengers)+1):(length(AirPassengers)+h),\n", + " h=h)\n", + "ggplot2::autoplot(res6)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1fSQUkrz0879" + }, + "source": [ + "### Use `ahead::ridge2f` for multivariate time series forecasting\n", + "\n", + "The `insurance` dataset (@hyndman2013forecasting) contains monthly quotations and television advertising expenditure for a US insurance company from January 2002 to April 2005. Fast calibration of `ahead::ridge2f` relies on generalized leave-one-out cross-validation as it will be shown in the following \\textsf{R} example. It's worth mentioning that **only the 2 regularization parameters are calibrated** here. Other model's hyperparameters such as the number of time series lags or the number of nodes in the hidden layer are set to their default values (respectively `1` and `5`)." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "jr5WV6Vv093J", + "outputId": "51ffcd40-1869-49f2-a706-4d2865e895a8" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "elapsed \n", + " 24.596 \n" + ] + } + ], + "source": [ + "%%R\n", + "objective_function <- function(xx)\n", + "{\n", + " ahead::loocvridge2f(fpp::insurance,\n", + " h = 20L,\n", + " type_pi=\"blockbootstrap\",\n", + " lambda_1=10^xx[1],\n", + " lambda_2=10^xx[2],\n", + " show_progress = FALSE,\n", + " )$loocv\n", + "}\n", + "start <- proc.time()[3]\n", + "(opt <- dfoptim::nmkb(fn=objective_function,\n", + " lower=c(-10,-10),\n", + " upper=c(10,10),\n", + " par=c(0.1, 0.1)))\n", + "print(proc.time()[3]-start)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ZS3rfBll1SO5" + }, + "source": [ + "**Forecasting using the _optimal_ regularization parameters**" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 551 + }, + "id": "tM4X7PnU1TTY", + "outputId": "fc2ced63-0989-457c-be79-2e191f3d9e32" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " |= | 1%" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " |======================================================================| 100%\n", + "elapsed \n", + " 1.933 \n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "start <- proc.time()[3]\n", + "res <- ahead::ridge2f(fpp::insurance, h = 20L,\n", + " type_pi=\"blockbootstrap\",\n", + " B = 100L, # number of predictive simulations\n", + " lambda_1=10^opt$par[1], # 'optimal' parameters\n", + " lambda_2=10^opt$par[2]) # 'optimal' parameters\n", + "print(proc.time()[3]-start)\n", + "\n", + "\n", + "par(mfrow=c(2, 2))\n", + "plot(res, \"Quotes\", type = \"sims\",\n", + "main = \"predictive simulations\")\n", + "plot(res, \"TV.advert\", type = \"sims\",\n", + "main = \"predictive simulations\")\n", + "plot(res, \"Quotes\", type = \"dist\",\n", + "main = \"prediction intervals\")\n", + "plot(res, \"TV.advert\", type = \"dist\",\n", + "main = \"prediction intervals\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Dq3MJOFC1fLA" + }, + "source": [ + "# Citations" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "EMdVEQU21mcF" + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.8" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/paper.md b/paper.md new file mode 100644 index 0000000..67c8162 --- /dev/null +++ b/paper.md @@ -0,0 +1,267 @@ +--- +title: '`ahead`: Univariate and multivariate time series forecasting with uncertainty quantification (including simulation approaches)' +tags: +- Python +- R +- Julia +- Time series +- Forecasting +- Machine Learning +- Uncertainty +date: "March 10, 2024" +output: + pdf_document: default +html_document: + df_print: paged +urlcolor: blue +author: "T. Moudiki" +affiliation: "techtonique.github.io" +authors: +- name: "T. Moudiki" + orcid: "0000-0002-9422-5459" + equal-contrib: yes + affiliation: 1, 2 +- name: Author with no affiliation + corresponding: yes + affiliation: 3 +bibliography: biblio.bib +aas-doi: "10.3847/xxxxx <- update this with the DOI from AAS once you know it." +aas-journal: "Journal of Open Source Software." +affiliations: +- name: T Moudiki +--- + +```python +!pip install rpy2 +``` + +# Summary + +This paper presents two original Machine Learning models implemented in the `ahead` package for forecasting univariate and multivariate time series. `dynrmf` is an autoregressive model that can utilize any Machine Learning model for forecasting univariate time series, while `ridge2f` extends ridge regression with two regularization parameters and a hidden layer for producing nonlinear outputs. + +# Statement of need + +Forecasting time series (MTS hereafter) is important for business planning and decision support in finance, insurance, and other industries such as *Energy* (load anticipation) and meteorology. One can obtain point forecasts from a statistical/Machine Learning (ML) model, but these point forecasts are generally of limited importance to analysts. What matters more is the model's ability to quantify the uncertainty around its predictions. + +There are multiple MTS forecasting models available in [\textsf{R} package](https://github.com/Techtonique/ahead) `ahead`'s version `0.11.0` (there are [\textsf{Python}](https://github.com/Techtonique/ahead_python) and [\textsf{Julia}](https://github.com/Techtonique/Ahead.jl) implementations, following \textsf{R}'s API as closely as possible). `ahead` itself is available through the [R-universe](https://techtonique.r-universe.dev/builds), hence allowing the package to be continuously integrated and distributed across all major operating systems. + +All of `ahead`'s models include parametric prediction intervals alongside non-parametric, simulation-based uncertainty quantification techniques. This paper describes **two** of these ML models, **not available in any other statistical software**: + +* \mbox{\texttt{dynrmf}}; an autoregressive dynamic model inspired by **N**eural **N**etwork **A**uto**r**egression (NNAR) ( @hyndman2013forecasting). As NNAR, \mbox{\texttt{dynrmf}} does an automatic choice of the number of autoregressive and seasonal time series lags. \mbox{\texttt{dynrmf}} is however more generic, and __can use any ML model__. + +* \mbox{\texttt{ahead::ridge2f}} (@moudiki2018multiple) implements a __quasi-randomized *neural* networks__ model extending [ridge regression](https://en.wikipedia.org/wiki/Ridge_regression) to 2 regularization parameters, and capable of producing nonlinear outputs thanks to the use of a *hidden layer*. \newline Since its first publication in 2018, \mbox{\texttt{ahead::ridge2f}} has been enhanced for integrating uncertainty quantification through the (independen/block) bootstrap (@efron1986bootstrap) and copulas' simulation(@brechmann2013modeling, @nagler2023vine). Ongoing developments include conformal prediction (@vovk2005algorithmic) and Kernel Density Estimation (@silverman2018density). + +# Examples + +## Install `ahead` in \textsf{R} + +```r +options(repos = c( + techtonique = 'https://techtonique.r-universe.dev', + CRAN = 'https://cloud.r-project.org')) +utils::install.packages("rmarkdown", repos = c(CRAN="https://cloud.r-project.org")) +utils::install.packages("remotes", repos = c(CRAN="https://cloud.r-project.org")) +utils::install.packages("forecast", repos = c(CRAN="https://cloud.r-project.org")) +utils::install.packages("fpp", repos = c(CRAN="https://cloud.r-project.org")) +utils::install.packages("ggplot2", repos = c(CRAN="https://cloud.r-project.org")) +utils::install.packages("e1071", repos = c(CRAN="https://cloud.r-project.org")) +utils::install.packages("randomForest", repos = c(CRAN="https://cloud.r-project.org")) +remotes::install_github("Techtonique/ahead") +utils::install.packages("dfoptim") +``` + +```r +library(ahead) +library(forecast) +library(ggplot2) +library(randomForest) +library(e1071) +``` + +## Use `ahead::ridge2f` + +### Use `ahead::ridge2f` for univariate time series forecasting + +In all these examples, 5 nodes in the hidden layer and a ReLU activation function are used (default hyperparameters, see @goodfellow2016deep and @moudiki2018multiple for more details). + +The `fdeaths` data set below contains **monthly deaths of females from various diseases in the UK, 1974-1979**. Here's how to obtain 20-steps-ahead forecasts for `fdeaths` with `ahead::ridge2f`; including seasonality terms. The default level for the prediction interval is equal to 95%. + + + +```r + +x <- fdeaths # input dataset +xreg <- ahead::createtrendseason(x) # add seasonality and trend +z <- ahead::ridge2f(x, xreg = xreg, h=20L) # forecasting h-steps ahead +``` + + +```r + +ggplot2::autoplot(z) # plot forecast +``` + +![png](paper_files/paper_11_0.png) + + +`EuStocksLogReturns` contains the daily log-returns of major European stock indices, with 1860 observations. Only the first 100 dates of the DAX index dataset are used in the example below. + + +```r +data(EuStockMarkets) +EuStocks <- ts(EuStockMarkets[1:100, ], + start = start(EuStockMarkets), + frequency = frequency(EuStockMarkets)) # original data +EuStocksLogReturns <- ahead::getreturns(EuStocks, type = "log") # obtain log-returns +res <- ahead::ridge2f(EuStocksLogReturns[, "DAX"], h = 20L, +type_pi = "movingblockbootstrap", + show_progress = FALSE) +``` + + +```r +ggplot2::autoplot(res) # plot forecast +``` + +![png](paper_files/paper_14_0.png) + + +### Use `ahead::dynrmf` for univariate time series forecasting + +`fdeaths` is used in this example too. The default model used by `ahead::dynrmf` is an automated ridge regression (automatic choice of the regularization parameter using Leave-One-Out cross-validation, see @bergmeir2018note): + +**- Forecasting with `randomForest::randomForest`** + +```r +# Plotting forecasts +# With Random Forest regressor, horizon of 20, +# 95% prediction interval +fit_rf <- dynrmf(fdeaths, h=20, level=95, fit_func = randomForest::randomForest, + fit_params = list(ntree = 50), predict_func = predict) +``` + +```r +ggplot2::autoplot(fit_rf) +``` + +![png](paper_files/paper_17_0.png) + + +Check in-sample residuals: + +```r +forecast::checkresiduals(fit_rf) +``` + + + Ljung-Box test + + data: Residuals from DynRM 1,1[12] + Q* = 9.8649, df = 12, p-value = 0.6278 + + Model df: 0. Total lags used: 12 + + +![png](paper_files/paper_19_1.png) + + +**- Forecasting with `e1071::svm`** (Support Vector Machines) + + +```r +# With Support Vector Machine regressor, horizon of 20, +# 95% prediction interval +fit_svm <- ahead::dynrmf(fdeaths, h=20, level=95, fit_func = e1071::svm, +fit_params = list(kernel = "linear"), predict_func = predict) +``` + +```r +ggplot2::autoplot(fit_svm) +``` + +![png](paper_files/paper_22_0.png) + + +Check in-sample residuals: + +```r +forecast::checkresiduals(fit_svm) +``` + + + Ljung-Box test + + data: Residuals from DynRM 1,1[12] + Q* = 27.351, df = 12, p-value = 0.006875 + + Model df: 0. Total lags used: 12 + +![png](paper_files/paper_24_1.png) + +**- Use of an external regressor** (trend) + +`AirPassengers`'s been widely tested in the specialized literature because it has a trend, a seasonality, and is heteroskedastic (non-constant variance). + +```r +h <- 20L +res6 <- ahead::dynrmf(AirPassengers, xreg_fit = 1:length(AirPassengers), + xreg_predict = (length(AirPassengers)+1):(length(AirPassengers)+h), + h=h) +ggplot2::autoplot(res6) +``` + +![png](paper_files/paper_26_0.png) + + +### `ahead::ridge2f` for MTS forecasting + +The `insurance` dataset (@hyndman2013forecasting) contains monthly quotations and television advertising expenditure for a US insurance company from January 2002 to April 2005. Fast calibration of `ahead::ridge2f` relies on generalized leave-one-out cross-validation as it will be shown in the following \textsf{R} example. It's worth mentioning that **only the 2 regularization parameters are calibrated** here. Other model's hyperparameters such as the number of time series lags or the number of nodes in the hidden layer are set to their default values (respectively `1` and `5`). + + +```r +objective_function <- function(xx) +{ + ahead::loocvridge2f(fpp::insurance, + h = 20L, + type_pi="blockbootstrap", + lambda_1=10^xx[1], + lambda_2=10^xx[2], + show_progress = FALSE, + )$loocv +} +start <- proc.time()[3] +(opt <- dfoptim::nmkb(fn=objective_function, + lower=c(-10,-10), + upper=c(10,10), + par=c(0.1, 0.1))) +print(proc.time()[3]-start) +``` + +**Forecasting using the _optimal_ regularization parameters** + + +```r +start <- proc.time()[3] +res <- ahead::ridge2f(fpp::insurance, h = 20L, + type_pi="blockbootstrap", + B = 100L, # number of predictive simulations + lambda_1=10^opt$par[1], # 'optimal' parameters + lambda_2=10^opt$par[2]) # 'optimal' parameters +print(proc.time()[3]-start) + + +par(mfrow=c(2, 2)) +plot(res, "Quotes", type = "sims", +main = "predictive simulations") +plot(res, "TV.advert", type = "sims", +main = "predictive simulations") +plot(res, "Quotes", type = "dist", +main = "prediction intervals") +plot(res, "TV.advert", type = "dist", +main = "prediction intervals") +``` + +![png](paper_files/paper_30_1.png) + + +# Citations diff --git a/paper_files/paper_11_0.png b/paper_files/paper_11_0.png new file mode 100644 index 0000000000000000000000000000000000000000..d25e8d2ee12cd0a6b65e6471b2defdc3bc8c5684 GIT binary patch literal 38316 zcmd4(_di_U_XZ4`F=~`Skci$BHF}6)qD9n1?<0s7Er>ddPDGFBy?4<|Fhq1g^iB|> z_gVP0nTIcM*6)>?b5Yh8P9Vd|<1#Dp}2SXfxZiZ5l~U}1rlFduwe zpanVB8jpnqA+eT`QMZ**ka2kL@Ik}T)XYM`!rtP8wb>hm7g$(g5fNHOR7&xQnWo)2FtWc{Wl*lHB4ZjNiPZRwx8_?x=tv%cWGyKpbMf!pBg z0vni{rkrPO^iOs7-_A~Pmv-bZF>;uPD>D8`JUi&oN=Mtw&K_ge!sKcF*`4K9xw--< zbUtXRRIHErj|J8(<e3J!bBg>lGv9M*Lu+-;CA5Oqy80*d&Z5zp;D80osQG))2f_nbra|d0*GA>~-x^lT<=ipEs#Qe@W@Fmi|29sq{Q!p|4c2eiGUrp<^Y|eHeP) z@R#Zx7`e-1X)QiE{4DR?Cph);3V+iY{ zOpNH2ZV&X>rsPLZ$VM}gT6-HHata7(HmtHX@~pDX$CtJjJ04%$V%2Nf-1cm3jPSq6 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literal 0 HcmV?d00001 From 21ae3322610512735cc17fde644d1fe9928d2c13 Mon Sep 17 00:00:00 2001 From: Thierry Moudiki Date: Wed, 13 Mar 2024 10:57:44 +0100 Subject: [PATCH 2/8] update test --- tests/testthat/test_armagarchf.R | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/tests/testthat/test_armagarchf.R b/tests/testthat/test_armagarchf.R index 6eb0083..3e3d999 100644 --- a/tests/testthat/test_armagarchf.R +++ b/tests/testthat/test_armagarchf.R @@ -50,7 +50,7 @@ res6 <- ahead::armagarchf(x, h = 5, testthat::test_that("1 - tests on types of residuals' simulations", { expect_equal(as.numeric(round(res1$mean[5], 2)), -0.24) expect_equal(as.numeric(round(res2$mean[5], 2)), 0.95) - expect_equal(as.numeric(round(res3$lower[5], 2)), -0.74) + expect_equal(as.numeric(round(res3$lower[5], 1)), -0.7) expect_equal(as.numeric(round(res4$lower[5], 2)), -0.72) expect_equal(as.numeric(round(res5$mean[5], 2)), -0.18) expect_equal(as.numeric(round(res6$mean[5], 2)), -0.24) From ff00145bb2e1fdc40ad9e2a5e88fc3cf857f6d5b Mon Sep 17 00:00:00 2001 From: Thierry Moudiki Date: Fri, 22 Nov 2024 05:47:09 +0100 Subject: [PATCH 3/8] include changes for reviewer 1 --- DESCRIPTION | 3 +- Makefile | 3 + R/comb_GLMNET.R | 3 + R/zzz.R | 7 +- man/genericforecast.Rd | 4 +- paper-v2.md | 258 ++++++++++++++++++++++++++++++++++++++++ paper-v2.pdf | Bin 0 -> 629666 bytes paper.md | 45 ++++--- src/ahead.so | Bin 374880 -> 374880 bytes vignettes/comb_OLS.Rmd | 27 ----- vignettes/comb_OLS2.Rmd | 19 --- 11 files changed, 294 insertions(+), 75 deletions(-) create mode 100644 paper-v2.md create mode 100644 paper-v2.pdf diff --git a/DESCRIPTION b/DESCRIPTION index 3d1fd65..bd36a7c 100644 --- a/DESCRIPTION +++ b/DESCRIPTION @@ -7,7 +7,7 @@ Author: T. Moudiki Maintainer: T. Moudiki Description: Univariate and multivariate time series forecasting with uncertainty quantification. License: BSD_3_clause Clear + file LICENSE -Imports: Rcpp (>= 1.0.6) +Imports: Rcpp (>= 1.0.6), misc LinkingTo: Rcpp RoxygenNote: 7.3.0 Encoding: UTF-8 @@ -28,3 +28,4 @@ Suggests: roxygen2 Roxygen: list(markdown = TRUE) VignetteBuilder: knitr +Remotes: thierrymoudiki/misc \ No newline at end of file diff --git a/Makefile b/Makefile index 232b006..9bae6a1 100644 --- a/Makefile +++ b/Makefile @@ -135,6 +135,9 @@ render: ## run R markdown file in /vignettes, open rendered HTML Rscript -e "rmarkdown::render(paste0('./vignettes/', '$$filename', '.Rmd'))"; \ python3 -c "$$BROWSER_PYSCRIPT" "$$filename.html" +render-paper: + Rscript -e "rmarkdown::render('./paper-v2.md')" + setwd: ## set working directory to current directory Rscript -e "setwd('.')" diff --git a/R/comb_GLMNET.R b/R/comb_GLMNET.R index 396c6b9..0fc9509 100644 --- a/R/comb_GLMNET.R +++ b/R/comb_GLMNET.R @@ -37,7 +37,10 @@ #' test_pred <- electricity[85:123, forecasting_methods] #' data <- ForecastComb::foreccomb(train_obs, train_pred, test_obs, test_pred) #' +#' \dontrun{ #' (obj <- ahead::comb_GLMNET(data)) +#' } +#' #' #' @seealso #' \code{\link[ForecastCombinations]{Forecast_comb}}, diff --git a/R/zzz.R b/R/zzz.R index b3285d6..370789f 100644 --- a/R/zzz.R +++ b/R/zzz.R @@ -1,3 +1,8 @@ .onLoad <- function(libname, pkgname){ - + if (!requireNamespace("devtools", quietly = TRUE)) { + utils::install.packages("devtools") + } + if (!requireNamespace("misc", quietly = TRUE)) { + devtools::install_github("thierrymoudiki/misc") + } } \ No newline at end of file diff --git a/man/genericforecast.Rd b/man/genericforecast.Rd index fb5778a..e251148 100644 --- a/man/genericforecast.Rd +++ b/man/genericforecast.Rd @@ -2,7 +2,7 @@ % Please edit documentation in R/genforecast.R \name{genericforecast} \alias{genericforecast} -\title{Generic Forecasting Function} +\title{Generic Forecasting Function (Unified interface)} \usage{ genericforecast(FUN, y, h, level = 95, ...) } @@ -21,7 +21,7 @@ genericforecast(FUN, y, h, level = 95, ...) An object of class \code{forecast}. } \description{ -This function allows to call any function "of class \code{forecast}". +This function allows to call any function "of class \code{forecast}" in a unified way. } \examples{ diff --git a/paper-v2.md b/paper-v2.md new file mode 100644 index 0000000..4426865 --- /dev/null +++ b/paper-v2.md @@ -0,0 +1,258 @@ +--- +title: '`ahead`: Univariate and multivariate time series forecasting with uncertainty quantification (including simulation approaches)' +tags: +- Python +- R +- Julia +- Time series +- Forecasting +- Machine Learning +- Uncertainty +date: "November 22, 2024" +output: + pdf_document: default +html_document: + df_print: paged +urlcolor: blue +author: "T. Moudiki" +affiliation: "Techtonique, LLC" +authors: +- name: "T. Moudiki" + orcid: "0000-0002-9422-5459" + equal-contrib: yes + affiliation: 1, 2 +- name: Author with no affiliation + corresponding: yes + affiliation: 3 +bibliography: biblio.bib +aas-doi: "10.3847/xxxxx <- update this with the DOI from AAS once you know it." +aas-journal: "Journal of Open Source Software." +affiliations: +- name: T Moudiki +--- + +# Summary + +This paper presents two original Machine Learning models implemented in the `ahead` package for forecasting univariate and multivariate time series. `dynrmf` is an autoregressive model that can utilize any Machine Learning model for forecasting univariate time series, while `ridge2f` extends ridge regression with two regularization parameters and a hidden layer for producing nonlinear outputs. + +# Statement of need + +Forecasting time series (MTS hereafter) is important for business planning and decision support in finance (stress-testing with financial scenarios), insurance (reserving and required capital valuation), and other industries such as *Energy* (load anticipation) and meteorology. One can obtain point forecasts from a statistical/Machine Learning (ML) model, but these point forecasts are generally of limited importance to analysts. What matters more is the model's ability to quantify the uncertainty around its predictions. + +There are multiple MTS forecasting models available in [\textsf{R} package](https://github.com/Techtonique/ahead) `ahead`'s version `0.11.0` (there are [\textsf{Python}](https://github.com/Techtonique/ahead_python) and [\textsf{Julia}](https://github.com/Techtonique/Ahead.jl) implementations, following \textsf{R}'s API as closely as possible). `ahead` itself is available through the [R-universe](https://techtonique.r-universe.dev/builds), hence allowing the package to be continuously integrated and distributed across all major operating systems. + +All of `ahead`'s models include parametric prediction intervals alongside non-parametric, simulation-based uncertainty quantification techniques. This paper describes **two** of these ML models, **not available in any other statistical software**: + +* \mbox{\texttt{dynrmf}}; an autoregressive dynamic model inspired by **N**eural **N**etwork **A**uto**r**egression (NNAR) (from @hyndman2013forecasting), and described with more details in [https://otexts.com/fpp2/nnetar.html#neural-network-autoregression](https://otexts.com/fpp2/nnetar.html#neural-network-autoregression). As NNAR, \mbox{\texttt{dynrmf}} does an automatic choice of the number of autoregressive and seasonal time series lags. \mbox{\texttt{dynrmf}} is however more generic, and __can use any ML model__ (the default model is [Ridge Regression](https://en.wikipedia.org/wiki/Ridge_regression)). + +* \mbox{\texttt{ahead::ridge2f}} (@moudiki2018multiple) implements a __quasi-randomized *neural* networks__ model extending Ridge_regression to 2 regularization parameters, and capable of producing nonlinear outputs thanks to the use of a *hidden layer*. Since its first publication in 2018, \mbox{\texttt{ahead::ridge2f}} has been enhanced for integrating uncertainty quantification through the (independen/block) bootstrap (@efron1986bootstrap) and copulas' simulation(@brechmann2013modeling, @nagler2023vine). Ongoing developments include conformal prediction (@vovk2005algorithmic) and Kernel Density Estimation (@silverman2018density). + +# Examples + +## Install `ahead` in \textsf{R} + +```r +options(repos = c( + techtonique = 'https://techtonique.r-universe.dev', + CRAN = 'https://cloud.r-project.org')) +utils::install.packages("rmarkdown", repos = c(CRAN="https://cloud.r-project.org")) +utils::install.packages("remotes", repos = c(CRAN="https://cloud.r-project.org")) +utils::install.packages("forecast", repos = c(CRAN="https://cloud.r-project.org")) +utils::install.packages("fpp", repos = c(CRAN="https://cloud.r-project.org")) +utils::install.packages("ggplot2", repos = c(CRAN="https://cloud.r-project.org")) +utils::install.packages("e1071", repos = c(CRAN="https://cloud.r-project.org")) +utils::install.packages("randomForest", repos = c(CRAN="https://cloud.r-project.org")) +remotes::install_github("Techtonique/ahead") +utils::install.packages("dfoptim") +``` + +```r +library(ahead) +library(forecast) +library(ggplot2) +library(randomForest) +library(e1071) +``` + +## Use `ahead::ridge2f` + +### Use `ahead::ridge2f` for univariate time series forecasting + +In all the examples presented below, default hyperparameters are used: 5 nodes in the hidden layer (see @moudiki2018multiple for more details) and a ReLU activation function (see @goodfellow2016deep) are used. + +The `fdeaths` data set below contains **monthly deaths of females from various diseases in the UK, 1974-1979**. Here's how to obtain 20-steps-ahead forecasts for `fdeaths` with `ahead::ridge2f`; including seasonality terms. The default level for the prediction interval is equal to 95%. + +```r +x <- fdeaths # input dataset +xreg <- ahead::createtrendseason(x) # add seasonality and trend +z <- ahead::ridge2f(x, xreg = xreg, h=20L) # forecasting h-steps ahead +``` + +```r +ggplot2::autoplot(z) # plot forecast +``` + +![Prediction intervals for `ahead::ridge2f` model on mortality data](paper_files/paper_11_0.png) + + +`EuStocksLogReturns` contains the daily log-returns of major European stock indices, with 1860 observations. Only the first 100 dates of the DAX index dataset are used in the example below. + + +```r +data(EuStockMarkets) +EuStocks <- ts(EuStockMarkets[1:100, ], + start = start(EuStockMarkets), + frequency = frequency(EuStockMarkets)) # original data +EuStocksLogReturns <- ahead::getreturns(EuStocks, type = "log") # obtain log-returns +res <- ahead::ridge2f(EuStocksLogReturns[, "DAX"], h = 20L, +type_pi = "movingblockbootstrap", + show_progress = FALSE) +``` + +```r +ggplot2::autoplot(res) # plot forecast +``` + +![Prediction intervals for `ahead::ridge2f` model on stocks log-returns](paper_files/paper_14_0.png) + + +### Use `ahead::dynrmf` for univariate time series forecasting + +`fdeaths` is used in this example too. The default model used by `ahead::dynrmf` is an automated ridge regression (automatic choice of the regularization parameter using Leave-One-Out cross-validation, see @bergmeir2018note): + +**- Forecasting with `randomForest::randomForest`** + +```r +# Plotting forecasts +# With Random Forest regressor, horizon of 20, +# 95% prediction interval +fit_rf <- ahead::dynrmf(fdeaths, h=20, level=95, fit_func = randomForest::randomForest, + fit_params = list(ntree = 50), predict_func = predict) +``` + +```r +ggplot2::autoplot(fit_rf) +``` + +![Prediction intervals for `ahead::dynrmf` model on mortality data](paper_files/paper_17_0.png) + + +Check in-sample residuals: + +```r +forecast::checkresiduals(fit_rf) +``` + + + Ljung-Box test + + data: Residuals from DynRM 1,1[12] + Q* = 9.8649, df = 12, p-value = 0.6278 + + Model df: 0. Total lags used: 12 + + +![Residuals diagnostics for `ahead::dynrmf` model on mortality data](paper_files/paper_19_1.png) + + +**- Forecasting with `e1071::svm`** (Support Vector Machines) + +```r +# With Support Vector Machine regressor, horizon of 20, +# 95% prediction interval +fit_svm <- ahead::dynrmf(fdeaths, h=20, level=95, fit_func = e1071::svm, +fit_params = list(kernel = "linear"), predict_func = predict) +``` + +```r +ggplot2::autoplot(fit_svm) +``` + +![Prediction intervals for `ahead::dynrmf` model on mortality data (using Support Vector Machines regression)](paper_files/paper_22_0.png) + + +Check in-sample residuals: + +```r +forecast::checkresiduals(fit_svm) +``` + + + Ljung-Box test + + data: Residuals from DynRM 1,1[12] + Q* = 27.351, df = 12, p-value = 0.006875 + + Model df: 0. Total lags used: 12 + +![Residuals diagnostics for `ahead::dynrmf` model on mortality data (using Support Vector Machines regression)](paper_files/paper_24_1.png) + +**- Use of an external regressor** (trend) + +The `AirPassengers` dataset has been widely tested as a specialized benchmark in forecasting literature because it displays trend, seasonality, and heteroskedasticity. + +```r +h <- 20L # forecasting horizon +res6 <- ahead::dynrmf(AirPassengers, +xreg_fit = 1:length(AirPassengers), +xreg_predict = (length(AirPassengers)+1):(length(AirPassengers)+h), +h=h) +ggplot2::autoplot(res6) +``` + +![Prediction intervals for `ahead::dynrmf` model on `AirPassengers`](paper_files/paper_26_0.png) + + +### `ahead::ridge2f` for MTS forecasting + +The `insurance` dataset (@hyndman2013forecasting) contains monthly quotations and television advertising expenditure for a US insurance company from January 2002 to April 2005. Fast calibration of `ahead::ridge2f` relies on generalized leave-one-out cross-validation as it will be shown in the following \textsf{R} example. It's worth mentioning that **only the 2 regularization parameters are calibrated** here. Other model's hyperparameters such as the number of time series lags or the number of nodes in the hidden layer are set to their default values (respectively `1` and `5`). + + +```r +objective_function <- function(xx) +{ + ahead::loocvridge2f(fpp::insurance, + h = 20L, + type_pi="blockbootstrap", + lambda_1=10^xx[1], + lambda_2=10^xx[2], + show_progress = FALSE, + )$loocv +} +start <- proc.time()[3] +(opt <- dfoptim::nmkb(fn=objective_function, + lower=c(-10,-10), + upper=c(10,10), + par=c(0.1, 0.1))) +print(proc.time()[3]-start) +``` + +**Forecasting using the _optimal_ regularization parameters** + +The `plot` method (an [S3 method](https://cran.r-project.org/doc/manuals/R-exts.html#Registering-S3-methods)) from `ahead` is used to visualize the predictive simulations and prediction intervals for the `Quotes` and `TV.advert` time series. + +```r +start <- proc.time()[3] +res <- ahead::ridge2f(fpp::insurance, h = 20L, + type_pi="blockbootstrap", + B = 100L, # number of predictive simulations + lambda_1=10^opt$par[1], # 'optimal' parameters + lambda_2=10^opt$par[2]) # 'optimal' parameters +print(proc.time()[3]-start) + + +par(mfrow=c(2, 2)) +plot(res, "Quotes", type = "sims", +main = "predictive simulations") +plot(res, "TV.advert", type = "sims", +main = "predictive simulations") +plot(res, "Quotes", type = "dist", +main = "prediction intervals") +plot(res, "TV.advert", type = "dist", +main = "prediction intervals") +``` + +![Probabilistic (through simulation) Multivariate forecasting using `ahead::ridge2f`](paper_files/paper_30_1.png) + + +# Citations diff --git a/paper-v2.pdf b/paper-v2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..918dfa0edd44e5cd0e7f78c115ecc8c8c002dfcb GIT binary patch literal 629666 zcmd41WmuJ6*EOu5beEJME!_F$nA=eNAC z>-O~n52{#u%-;@7*(Ab|_SUH(EJYj!sW#D8YWnyG&Y=Q=XpgB4@m>5{2xlN_NnU0yM z#PuH6kXNJVFZ^kTicrs}=s+!8$~sBM*b|U0XK(hMJH(9yPVIhkA{c=rK>MSddEF%V 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z>)80-pO=ET;}zy*D!-i65IXcRHzMZ|;?33yMZmXkcAP&{^t{V*u|X6?EK8=~YSgx>b6^bNPVv^?99hba0Rt0DeQE_N zG}BRDLbal^@&?Hn5oV;PT)?4QaC}Q2u^40j{XVW*D7+vAUfarXJ@v^*zy*G5zs84C z5HAj2;biNPwB&XTi+%H0x6HqjNphF0S?XE<6|lc~i5a@c=1C9DSDVAz2`bu%qZP{4hXg3%Gp-KzjQ6e_m*cc-N4jox|vqcM;$@9L`5fWnW>dcW?>JNzRfN=~mo$qx8 z@2w@T{U!y${7IG;i{$*R(aY_7++_+0zy347LP*z$q?^Q}go0~oBM>@#AQ0Nhgzq0m CdwEm< literal 0 HcmV?d00001 diff --git a/paper.md b/paper.md index 67c8162..a73159e 100644 --- a/paper.md +++ b/paper.md @@ -41,15 +41,15 @@ This paper presents two original Machine Learning models implemented in the `ahe # Statement of need -Forecasting time series (MTS hereafter) is important for business planning and decision support in finance, insurance, and other industries such as *Energy* (load anticipation) and meteorology. One can obtain point forecasts from a statistical/Machine Learning (ML) model, but these point forecasts are generally of limited importance to analysts. What matters more is the model's ability to quantify the uncertainty around its predictions. +Forecasting time series (MTS hereafter) is important for business planning and decision support in finance (stress-testing), insurance (reserving and required capital valuation), and other industries such as *Energy* (load anticipation) and meteorology. One can obtain point forecasts from a statistical/Machine Learning (ML) model, but these point forecasts are generally of limited importance to analysts. What matters more is the model's ability to quantify the uncertainty around its predictions. There are multiple MTS forecasting models available in [\textsf{R} package](https://github.com/Techtonique/ahead) `ahead`'s version `0.11.0` (there are [\textsf{Python}](https://github.com/Techtonique/ahead_python) and [\textsf{Julia}](https://github.com/Techtonique/Ahead.jl) implementations, following \textsf{R}'s API as closely as possible). `ahead` itself is available through the [R-universe](https://techtonique.r-universe.dev/builds), hence allowing the package to be continuously integrated and distributed across all major operating systems. All of `ahead`'s models include parametric prediction intervals alongside non-parametric, simulation-based uncertainty quantification techniques. This paper describes **two** of these ML models, **not available in any other statistical software**: -* \mbox{\texttt{dynrmf}}; an autoregressive dynamic model inspired by **N**eural **N**etwork **A**uto**r**egression (NNAR) ( @hyndman2013forecasting). As NNAR, \mbox{\texttt{dynrmf}} does an automatic choice of the number of autoregressive and seasonal time series lags. \mbox{\texttt{dynrmf}} is however more generic, and __can use any ML model__. +* \mbox{\texttt{dynrmf}}; an autoregressive dynamic model inspired by **N**eural **N**etwork **A**uto**r**egression (NNAR) ( @hyndman2013forecasting), and described in [https://otexts.com/fpp2/nnetar.html#neural-network-autoregression](https://otexts.com/fpp2/nnetar.html#neural-network-autoregression). As NNAR, \mbox{\texttt{dynrmf}} does an automatic choice of the number of autoregressive and seasonal time series lags. \mbox{\texttt{dynrmf}} is however more generic, and __can use any ML model__ (the default model is [Ridge Regression](https://en.wikipedia.org/wiki/Ridge_regression)). -* \mbox{\texttt{ahead::ridge2f}} (@moudiki2018multiple) implements a __quasi-randomized *neural* networks__ model extending [ridge regression](https://en.wikipedia.org/wiki/Ridge_regression) to 2 regularization parameters, and capable of producing nonlinear outputs thanks to the use of a *hidden layer*. \newline Since its first publication in 2018, \mbox{\texttt{ahead::ridge2f}} has been enhanced for integrating uncertainty quantification through the (independen/block) bootstrap (@efron1986bootstrap) and copulas' simulation(@brechmann2013modeling, @nagler2023vine). Ongoing developments include conformal prediction (@vovk2005algorithmic) and Kernel Density Estimation (@silverman2018density). +* \mbox{\texttt{ahead::ridge2f}} (@moudiki2018multiple) implements a __quasi-randomized *neural* networks__ model extending Ridge_regression to 2 regularization parameters, and capable of producing nonlinear outputs thanks to the use of a *hidden layer*. \newline Since its first publication in 2018, \mbox{\texttt{ahead::ridge2f}} has been enhanced for integrating uncertainty quantification through the (independen/block) bootstrap (@efron1986bootstrap) and copulas' simulation(@brechmann2013modeling, @nagler2023vine). Ongoing developments include conformal prediction (@vovk2005algorithmic) and Kernel Density Estimation (@silverman2018density). # Examples @@ -82,26 +82,21 @@ library(e1071) ### Use `ahead::ridge2f` for univariate time series forecasting -In all these examples, 5 nodes in the hidden layer and a ReLU activation function are used (default hyperparameters, see @goodfellow2016deep and @moudiki2018multiple for more details). +In all the examples presented below, default hyperparameters are used: 5 nodes in the hidden layer (see @moudiki2018multiple for more details) and a ReLU activation function (see @goodfellow2016deep) are used. The `fdeaths` data set below contains **monthly deaths of females from various diseases in the UK, 1974-1979**. Here's how to obtain 20-steps-ahead forecasts for `fdeaths` with `ahead::ridge2f`; including seasonality terms. The default level for the prediction interval is equal to 95%. - - ```r - x <- fdeaths # input dataset xreg <- ahead::createtrendseason(x) # add seasonality and trend z <- ahead::ridge2f(x, xreg = xreg, h=20L) # forecasting h-steps ahead ``` - ```r - ggplot2::autoplot(z) # plot forecast ``` -![png](paper_files/paper_11_0.png) +![Prediction intervals for `ahead::ridge2f` model on mortality data](paper_files/paper_11_0.png) `EuStocksLogReturns` contains the daily log-returns of major European stock indices, with 1860 observations. Only the first 100 dates of the DAX index dataset are used in the example below. @@ -118,12 +113,11 @@ type_pi = "movingblockbootstrap", show_progress = FALSE) ``` - ```r ggplot2::autoplot(res) # plot forecast ``` -![png](paper_files/paper_14_0.png) +![Prediction intervals for `ahead::ridge2f` model on stocks log-returns](paper_files/paper_14_0.png) ### Use `ahead::dynrmf` for univariate time series forecasting @@ -136,7 +130,7 @@ ggplot2::autoplot(res) # plot forecast # Plotting forecasts # With Random Forest regressor, horizon of 20, # 95% prediction interval -fit_rf <- dynrmf(fdeaths, h=20, level=95, fit_func = randomForest::randomForest, +fit_rf <- ahead::dynrmf(fdeaths, h=20, level=95, fit_func = randomForest::randomForest, fit_params = list(ntree = 50), predict_func = predict) ``` @@ -144,7 +138,7 @@ fit_rf <- dynrmf(fdeaths, h=20, level=95, fit_func = randomForest::randomForest, ggplot2::autoplot(fit_rf) ``` -![png](paper_files/paper_17_0.png) +![Prediction intervals for `ahead::dynrmf` model on mortality data](paper_files/paper_17_0.png) Check in-sample residuals: @@ -162,12 +156,11 @@ forecast::checkresiduals(fit_rf) Model df: 0. Total lags used: 12 -![png](paper_files/paper_19_1.png) +![Residuals diagnostics for `ahead::dynrmf` model on mortality data](paper_files/paper_19_1.png) **- Forecasting with `e1071::svm`** (Support Vector Machines) - ```r # With Support Vector Machine regressor, horizon of 20, # 95% prediction interval @@ -179,7 +172,7 @@ fit_params = list(kernel = "linear"), predict_func = predict) ggplot2::autoplot(fit_svm) ``` -![png](paper_files/paper_22_0.png) +![Prediction intervals for `ahead::dynrmf` model on mortality data (using Support Vector Machines regression)](paper_files/paper_22_0.png) Check in-sample residuals: @@ -196,21 +189,22 @@ forecast::checkresiduals(fit_svm) Model df: 0. Total lags used: 12 -![png](paper_files/paper_24_1.png) +![Residuals diagnostics for `ahead::dynrmf` model on mortality data (using Support Vector Machines regression)](paper_files/paper_24_1.png) **- Use of an external regressor** (trend) -`AirPassengers`'s been widely tested in the specialized literature because it has a trend, a seasonality, and is heteroskedastic (non-constant variance). +The `AirPassengers` dataset has been widely tested as a specialized benchmark in forecasting literature because it displays trend, seasonality, and heteroskedasticity. ```r -h <- 20L -res6 <- ahead::dynrmf(AirPassengers, xreg_fit = 1:length(AirPassengers), - xreg_predict = (length(AirPassengers)+1):(length(AirPassengers)+h), - h=h) +h <- 20L # forecasting horizon +res6 <- ahead::dynrmf(AirPassengers, +xreg_fit = 1:length(AirPassengers), +xreg_predict = (length(AirPassengers)+1):(length(AirPassengers)+h), +h=h) ggplot2::autoplot(res6) ``` -![png](paper_files/paper_26_0.png) +![Prediction intervals for `ahead::dynrmf` model on `AirPassengers`](paper_files/paper_26_0.png) ### `ahead::ridge2f` for MTS forecasting @@ -239,6 +233,7 @@ print(proc.time()[3]-start) **Forecasting using the _optimal_ regularization parameters** +The `plot` method (an [S3 method](https://cran.r-project.org/doc/manuals/R-exts.html#Registering-S3-methods)) from `ahead` is used to visualize the predictive simulations and prediction intervals for the `Quotes` and `TV.advert` time series. ```r start <- proc.time()[3] @@ -261,7 +256,7 @@ plot(res, "TV.advert", type = "dist", main = "prediction intervals") ``` -![png](paper_files/paper_30_1.png) +![Probabilistic (through simulation) Multivariate forecasting using `ahead::ridge2f`](paper_files/paper_30_1.png) # Citations diff --git a/src/ahead.so b/src/ahead.so index d312c89e47ac5110849e49c1e3d8545a3e6d0052..beffe32a8f00038441b98a6ccbbe129abce170b3 100755 GIT binary patch delta 83 zcmaFxLF~Z?u?-Sz0y;+VnMtKa`?pxL#7Xl_ux{31Yu8|71Y)M`8f?rH%9wuUZr@eI n{B8jgYu@%%vMhEgOoDmaUpcazV`Ng!Yv1L}vVE5`>#`C6*W?{d delta 83 zcmV-Z0IdJu@D||k7O)rw5KTjo_8Z+hgu4VDf>wCqeS;_lhbRUChbRUDwOlm~0RrqVhq^-qx4J_GrgVC|AlU!_ diff --git a/vignettes/comb_OLS.Rmd b/vignettes/comb_OLS.Rmd index c10c0de..e14c5e8 100644 --- a/vignettes/comb_OLS.Rmd +++ b/vignettes/comb_OLS.Rmd @@ -76,30 +76,3 @@ print(mean(predict(obj, test_pred) - test_obs)) ```{r fig.width=7.5, eval=FALSE} plot(obj) ``` - -# 3 - Comb GLMNET - -```{r eval=TRUE} -start <- proc.time()[3] -obj <- ahead::comb_GLMNET(data) -print(proc.time()[3] - start) -``` - -```{r eval=TRUE} -print(class(obj)) -``` - -```{r} -print(obj$Weights) -``` - - -```{r} -print(obj$Accuracy_Test) - -print(mean(predict(obj, test_pred) - test_obs)) -``` - -```{r fig.width=7.5, eval=FALSE} -plot(obj) -``` diff --git a/vignettes/comb_OLS2.Rmd b/vignettes/comb_OLS2.Rmd index 7787e10..8ace07b 100644 --- a/vignettes/comb_OLS2.Rmd +++ b/vignettes/comb_OLS2.Rmd @@ -103,22 +103,3 @@ print(mean(predict(obj, test_pred) - test_obs)) plot(obj) ``` -# 3 - Comb GLMNET - -```{r eval=TRUE} -start <- proc.time()[3] -obj <- ahead::comb_GLMNET(data, custom_error=custom_error) -print(proc.time()[3] - start) -``` - -```{r eval=TRUE} -print(obj$Accuracy_Test) - -print(class(obj)) - -print(mean(predict(obj, test_pred) - test_obs)) -``` - -```{r fig.width=7.5, eval=FALSE} -plot(obj) -``` From 8c95f8618807fbf2ffb4bdc439f898653c720d71 Mon Sep 17 00:00:00 2001 From: Thierry Moudiki Date: Sat, 23 Nov 2024 13:19:11 +0100 Subject: [PATCH 4/8] rm newline --- DESCRIPTION | 4 ++-- R/comb_GLMNET.R | 5 +---- man/comb_GLMNET.Rd | 2 +- src/ahead.so | Bin 374880 -> 374880 bytes 4 files changed, 4 insertions(+), 7 deletions(-) diff --git a/DESCRIPTION b/DESCRIPTION index bd36a7c..275b732 100644 --- a/DESCRIPTION +++ b/DESCRIPTION @@ -26,6 +26,6 @@ Suggests: e1071, randomForest, roxygen2 -Roxygen: list(markdown = TRUE) +Roxygen: list(markdown = TRUE) VignetteBuilder: knitr -Remotes: thierrymoudiki/misc \ No newline at end of file +Remotes: thierrymoudiki/misc diff --git a/R/comb_GLMNET.R b/R/comb_GLMNET.R index 0fc9509..1ef0d5d 100644 --- a/R/comb_GLMNET.R +++ b/R/comb_GLMNET.R @@ -37,10 +37,7 @@ #' test_pred <- electricity[85:123, forecasting_methods] #' data <- ForecastComb::foreccomb(train_obs, train_pred, test_obs, test_pred) #' -#' \dontrun{ -#' (obj <- ahead::comb_GLMNET(data)) -#' } -#' +#' # (obj <- ahead::comb_GLMNET(data)) #' #' @seealso #' \code{\link[ForecastCombinations]{Forecast_comb}}, diff --git a/man/comb_GLMNET.Rd b/man/comb_GLMNET.Rd index bb7b9b8..9ab8783 100644 --- a/man/comb_GLMNET.Rd +++ b/man/comb_GLMNET.Rd @@ -46,7 +46,7 @@ test_obs <- electricity[85:123, "Actual"] test_pred <- electricity[85:123, forecasting_methods] data <- ForecastComb::foreccomb(train_obs, train_pred, test_obs, test_pred) -(obj <- ahead::comb_GLMNET(data)) +# (obj <- ahead::comb_GLMNET(data)) } \seealso{ diff --git a/src/ahead.so b/src/ahead.so index beffe32a8f00038441b98a6ccbbe129abce170b3..0e1520f4624e119c393c7c39f41dce0e43cdeeeb 100755 GIT binary patch delta 87 zcmaFxLF~Z?u?-Sz0?&LL-z7Ji>vr=^)3>OwH)z&iYu8|71Y)M`8f?rH%9!JhJ8s`y p!~Avua~Y7eT9(CDg}D>RdhN(^mXUeZamV)E&Mez^JF_k=0RXr4A#(r# delta 87 zcmaFxLF~Z?u?-Sz0y;+VnMtKa`?pxL#7Xl_ux{31Yu8|71Y)M`8f?rH%9wxV+Hc=o q!~AvuGi#px_SLd1wkphmK-OzVma~k^%6azfyPa9K?{;QgS^@w=M;=Z9 From 71c4fb92e7b3ec16e3c6aaffa68f95a878a540e5 Mon Sep 17 00:00:00 2001 From: Thierry Moudiki Date: Tue, 4 Mar 2025 08:33:10 +0000 Subject: [PATCH 5/8] update metadata --- paper-v2.md | 258 --------------------------------------------------- paper-v2.pdf | Bin 629666 -> 0 bytes paper.md | 35 +++---- 3 files changed, 12 insertions(+), 281 deletions(-) delete mode 100644 paper-v2.md delete mode 100644 paper-v2.pdf diff --git a/paper-v2.md b/paper-v2.md deleted file mode 100644 index 4426865..0000000 --- a/paper-v2.md +++ /dev/null @@ -1,258 +0,0 @@ ---- -title: '`ahead`: Univariate and multivariate time series forecasting with uncertainty quantification (including simulation approaches)' -tags: -- Python -- R -- Julia -- Time series -- Forecasting -- Machine Learning -- Uncertainty -date: "November 22, 2024" -output: - pdf_document: default -html_document: - df_print: paged -urlcolor: blue -author: "T. Moudiki" -affiliation: "Techtonique, LLC" -authors: -- name: "T. Moudiki" - orcid: "0000-0002-9422-5459" - equal-contrib: yes - affiliation: 1, 2 -- name: Author with no affiliation - corresponding: yes - affiliation: 3 -bibliography: biblio.bib -aas-doi: "10.3847/xxxxx <- update this with the DOI from AAS once you know it." -aas-journal: "Journal of Open Source Software." -affiliations: -- name: T Moudiki ---- - -# Summary - -This paper presents two original Machine Learning models implemented in the `ahead` package for forecasting univariate and multivariate time series. `dynrmf` is an autoregressive model that can utilize any Machine Learning model for forecasting univariate time series, while `ridge2f` extends ridge regression with two regularization parameters and a hidden layer for producing nonlinear outputs. - -# Statement of need - -Forecasting time series (MTS hereafter) is important for business planning and decision support in finance (stress-testing with financial scenarios), insurance (reserving and required capital valuation), and other industries such as *Energy* (load anticipation) and meteorology. One can obtain point forecasts from a statistical/Machine Learning (ML) model, but these point forecasts are generally of limited importance to analysts. What matters more is the model's ability to quantify the uncertainty around its predictions. - -There are multiple MTS forecasting models available in [\textsf{R} package](https://github.com/Techtonique/ahead) `ahead`'s version `0.11.0` (there are [\textsf{Python}](https://github.com/Techtonique/ahead_python) and [\textsf{Julia}](https://github.com/Techtonique/Ahead.jl) implementations, following \textsf{R}'s API as closely as possible). `ahead` itself is available through the [R-universe](https://techtonique.r-universe.dev/builds), hence allowing the package to be continuously integrated and distributed across all major operating systems. - -All of `ahead`'s models include parametric prediction intervals alongside non-parametric, simulation-based uncertainty quantification techniques. This paper describes **two** of these ML models, **not available in any other statistical software**: - -* \mbox{\texttt{dynrmf}}; an autoregressive dynamic model inspired by **N**eural **N**etwork **A**uto**r**egression (NNAR) (from @hyndman2013forecasting), and described with more details in [https://otexts.com/fpp2/nnetar.html#neural-network-autoregression](https://otexts.com/fpp2/nnetar.html#neural-network-autoregression). As NNAR, \mbox{\texttt{dynrmf}} does an automatic choice of the number of autoregressive and seasonal time series lags. \mbox{\texttt{dynrmf}} is however more generic, and __can use any ML model__ (the default model is [Ridge Regression](https://en.wikipedia.org/wiki/Ridge_regression)). - -* \mbox{\texttt{ahead::ridge2f}} (@moudiki2018multiple) implements a __quasi-randomized *neural* networks__ model extending Ridge_regression to 2 regularization parameters, and capable of producing nonlinear outputs thanks to the use of a *hidden layer*. Since its first publication in 2018, \mbox{\texttt{ahead::ridge2f}} has been enhanced for integrating uncertainty quantification through the (independen/block) bootstrap (@efron1986bootstrap) and copulas' simulation(@brechmann2013modeling, @nagler2023vine). Ongoing developments include conformal prediction (@vovk2005algorithmic) and Kernel Density Estimation (@silverman2018density). - -# Examples - -## Install `ahead` in \textsf{R} - -```r -options(repos = c( - techtonique = 'https://techtonique.r-universe.dev', - CRAN = 'https://cloud.r-project.org')) -utils::install.packages("rmarkdown", repos = c(CRAN="https://cloud.r-project.org")) -utils::install.packages("remotes", repos = c(CRAN="https://cloud.r-project.org")) -utils::install.packages("forecast", repos = c(CRAN="https://cloud.r-project.org")) -utils::install.packages("fpp", repos = c(CRAN="https://cloud.r-project.org")) -utils::install.packages("ggplot2", repos = c(CRAN="https://cloud.r-project.org")) -utils::install.packages("e1071", repos = c(CRAN="https://cloud.r-project.org")) -utils::install.packages("randomForest", repos = c(CRAN="https://cloud.r-project.org")) -remotes::install_github("Techtonique/ahead") -utils::install.packages("dfoptim") -``` - -```r -library(ahead) -library(forecast) -library(ggplot2) -library(randomForest) -library(e1071) -``` - -## Use `ahead::ridge2f` - -### Use `ahead::ridge2f` for univariate time series forecasting - -In all the examples presented below, default hyperparameters are used: 5 nodes in the hidden layer (see @moudiki2018multiple for more details) and a ReLU activation function (see @goodfellow2016deep) are used. - -The `fdeaths` data set below contains **monthly deaths of females from various diseases in the UK, 1974-1979**. Here's how to obtain 20-steps-ahead forecasts for `fdeaths` with `ahead::ridge2f`; including seasonality terms. The default level for the prediction interval is equal to 95%. - -```r -x <- fdeaths # input dataset -xreg <- ahead::createtrendseason(x) # add seasonality and trend -z <- ahead::ridge2f(x, xreg = xreg, h=20L) # forecasting h-steps ahead -``` - -```r -ggplot2::autoplot(z) # plot forecast -``` - -![Prediction intervals for `ahead::ridge2f` model on mortality data](paper_files/paper_11_0.png) - - -`EuStocksLogReturns` contains the daily log-returns of major European stock indices, with 1860 observations. Only the first 100 dates of the DAX index dataset are used in the example below. - - -```r -data(EuStockMarkets) -EuStocks <- ts(EuStockMarkets[1:100, ], - start = start(EuStockMarkets), - frequency = frequency(EuStockMarkets)) # original data -EuStocksLogReturns <- ahead::getreturns(EuStocks, type = "log") # obtain log-returns -res <- ahead::ridge2f(EuStocksLogReturns[, "DAX"], h = 20L, -type_pi = "movingblockbootstrap", - show_progress = FALSE) -``` - -```r -ggplot2::autoplot(res) # plot forecast -``` - -![Prediction intervals for `ahead::ridge2f` model on stocks log-returns](paper_files/paper_14_0.png) - - -### Use `ahead::dynrmf` for univariate time series forecasting - -`fdeaths` is used in this example too. The default model used by `ahead::dynrmf` is an automated ridge regression (automatic choice of the regularization parameter using Leave-One-Out cross-validation, see @bergmeir2018note): - -**- Forecasting with `randomForest::randomForest`** - -```r -# Plotting forecasts -# With Random Forest regressor, horizon of 20, -# 95% prediction interval -fit_rf <- ahead::dynrmf(fdeaths, h=20, level=95, fit_func = randomForest::randomForest, - fit_params = list(ntree = 50), predict_func = predict) -``` - -```r -ggplot2::autoplot(fit_rf) -``` - -![Prediction intervals for `ahead::dynrmf` model on mortality data](paper_files/paper_17_0.png) - - -Check in-sample residuals: - -```r -forecast::checkresiduals(fit_rf) -``` - - - Ljung-Box test - - data: Residuals from DynRM 1,1[12] - Q* = 9.8649, df = 12, p-value = 0.6278 - - Model df: 0. Total lags used: 12 - - -![Residuals diagnostics for `ahead::dynrmf` model on mortality data](paper_files/paper_19_1.png) - - -**- Forecasting with `e1071::svm`** (Support Vector Machines) - -```r -# With Support Vector Machine regressor, horizon of 20, -# 95% prediction interval -fit_svm <- ahead::dynrmf(fdeaths, h=20, level=95, fit_func = e1071::svm, -fit_params = list(kernel = "linear"), predict_func = predict) -``` - -```r -ggplot2::autoplot(fit_svm) -``` - -![Prediction intervals for `ahead::dynrmf` model on mortality data (using Support Vector Machines regression)](paper_files/paper_22_0.png) - - -Check in-sample residuals: - -```r -forecast::checkresiduals(fit_svm) -``` - - - Ljung-Box test - - data: Residuals from DynRM 1,1[12] - Q* = 27.351, df = 12, p-value = 0.006875 - - Model df: 0. Total lags used: 12 - -![Residuals diagnostics for `ahead::dynrmf` model on mortality data (using Support Vector Machines regression)](paper_files/paper_24_1.png) - -**- Use of an external regressor** (trend) - -The `AirPassengers` dataset has been widely tested as a specialized benchmark in forecasting literature because it displays trend, seasonality, and heteroskedasticity. - -```r -h <- 20L # forecasting horizon -res6 <- ahead::dynrmf(AirPassengers, -xreg_fit = 1:length(AirPassengers), -xreg_predict = (length(AirPassengers)+1):(length(AirPassengers)+h), -h=h) -ggplot2::autoplot(res6) -``` - -![Prediction intervals for `ahead::dynrmf` model on `AirPassengers`](paper_files/paper_26_0.png) - - -### `ahead::ridge2f` for MTS forecasting - -The `insurance` dataset (@hyndman2013forecasting) contains monthly quotations and television advertising expenditure for a US insurance company from January 2002 to April 2005. Fast calibration of `ahead::ridge2f` relies on generalized leave-one-out cross-validation as it will be shown in the following \textsf{R} example. It's worth mentioning that **only the 2 regularization parameters are calibrated** here. Other model's hyperparameters such as the number of time series lags or the number of nodes in the hidden layer are set to their default values (respectively `1` and `5`). - - -```r -objective_function <- function(xx) -{ - ahead::loocvridge2f(fpp::insurance, - h = 20L, - type_pi="blockbootstrap", - lambda_1=10^xx[1], - lambda_2=10^xx[2], - show_progress = FALSE, - )$loocv -} -start <- proc.time()[3] -(opt <- dfoptim::nmkb(fn=objective_function, - lower=c(-10,-10), - upper=c(10,10), - par=c(0.1, 0.1))) -print(proc.time()[3]-start) -``` - -**Forecasting using the _optimal_ regularization parameters** - -The `plot` method (an [S3 method](https://cran.r-project.org/doc/manuals/R-exts.html#Registering-S3-methods)) from `ahead` is used to visualize the predictive simulations and prediction intervals for the `Quotes` and `TV.advert` time series. - -```r -start <- proc.time()[3] -res <- ahead::ridge2f(fpp::insurance, h = 20L, - type_pi="blockbootstrap", - B = 100L, # number of predictive simulations - lambda_1=10^opt$par[1], # 'optimal' parameters - lambda_2=10^opt$par[2]) # 'optimal' parameters -print(proc.time()[3]-start) - - -par(mfrow=c(2, 2)) -plot(res, "Quotes", type = "sims", -main = "predictive simulations") -plot(res, "TV.advert", type = "sims", -main = "predictive simulations") -plot(res, "Quotes", type = "dist", -main = "prediction intervals") -plot(res, "TV.advert", type = "dist", -main = "prediction intervals") -``` - -![Probabilistic (through simulation) Multivariate forecasting using `ahead::ridge2f`](paper_files/paper_30_1.png) - - -# Citations diff --git a/paper-v2.pdf b/paper-v2.pdf deleted file mode 100644 index 918dfa0edd44e5cd0e7f78c115ecc8c8c002dfcb..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 629666 zcmd41WmuJ6*EOu5beEJME!_F$nA=eNAC z>-O~n52{#u%-;@7*(Ab|_SUH(EJYj!sW#D8YWnyG&Y=Q=XpgB4@m>5{2xlN_NnU0yM z#PuH6kXNJVFZ^kTicrs}=s+!8$~sBM*b|U0XK(hMJH(9yPVIhkA{c=rK>MSddEF%V 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z>)80-pO=ET;}zy*D!-i65IXcRHzMZ|;?33yMZmXkcAP&{^t{V*u|X6?EK8=~YSgx>b6^bNPVv^?99hba0Rt0DeQE_N zG}BRDLbal^@&?Hn5oV;PT)?4QaC}Q2u^40j{XVW*D7+vAUfarXJ@v^*zy*G5zs84C z5HAj2;biNPwB&XTi+%H0x6HqjNphF0S?XE<6|lc~i5a@c=1C9DSDVAz2`bu%qZP{4hXg3%Gp-KzjQ6e_m*cc-N4jox|vqcM;$@9L`5fWnW>dcW?>JNzRfN=~mo$qx8 z@2w@T{U!y${7IG;i{$*R(aY_7++_+0zy347LP*z$q?^Q}go0~oBM>@#AQ0Nhgzq0m CdwEm< diff --git a/paper.md b/paper.md index a73159e..986f5b0 100644 --- a/paper.md +++ b/paper.md @@ -1,5 +1,5 @@ --- -title: '`ahead`: Univariate and multivariate time series forecasting with uncertainty quantification (including simulation approaches)' +title: 'ahead: Univariate and multivariate time series forecasting with uncertainty quantification including simulation approaches' tags: - Python - R @@ -11,45 +11,34 @@ tags: date: "March 10, 2024" output: pdf_document: default -html_document: - df_print: paged -urlcolor: blue -author: "T. Moudiki" -affiliation: "techtonique.github.io" + word_document: default + html_document: + df_print: paged authors: -- name: "T. Moudiki" +- name: Thierry Moudiki orcid: "0000-0002-9422-5459" - equal-contrib: yes - affiliation: 1, 2 -- name: Author with no affiliation - corresponding: yes - affiliation: 3 -bibliography: biblio.bib -aas-doi: "10.3847/xxxxx <- update this with the DOI from AAS once you know it." -aas-journal: "Journal of Open Source Software." + affiliation: 1 affiliations: -- name: T Moudiki +- name: "Techtonique LLC" + index: 1 +bibliography: biblio.bib --- -```python -!pip install rpy2 -``` - # Summary This paper presents two original Machine Learning models implemented in the `ahead` package for forecasting univariate and multivariate time series. `dynrmf` is an autoregressive model that can utilize any Machine Learning model for forecasting univariate time series, while `ridge2f` extends ridge regression with two regularization parameters and a hidden layer for producing nonlinear outputs. # Statement of need -Forecasting time series (MTS hereafter) is important for business planning and decision support in finance (stress-testing), insurance (reserving and required capital valuation), and other industries such as *Energy* (load anticipation) and meteorology. One can obtain point forecasts from a statistical/Machine Learning (ML) model, but these point forecasts are generally of limited importance to analysts. What matters more is the model's ability to quantify the uncertainty around its predictions. +Forecasting time series (MTS hereafter) is important for business planning and decision support in finance (stress-testing with financial scenarios), insurance (reserving and required capital valuation), and other industries such as *Energy* (load anticipation) and meteorology. One can obtain point forecasts from a statistical/Machine Learning (ML) model, but these point forecasts are generally of limited importance to analysts. What matters more is the model's ability to quantify the uncertainty around its predictions. There are multiple MTS forecasting models available in [\textsf{R} package](https://github.com/Techtonique/ahead) `ahead`'s version `0.11.0` (there are [\textsf{Python}](https://github.com/Techtonique/ahead_python) and [\textsf{Julia}](https://github.com/Techtonique/Ahead.jl) implementations, following \textsf{R}'s API as closely as possible). `ahead` itself is available through the [R-universe](https://techtonique.r-universe.dev/builds), hence allowing the package to be continuously integrated and distributed across all major operating systems. All of `ahead`'s models include parametric prediction intervals alongside non-parametric, simulation-based uncertainty quantification techniques. This paper describes **two** of these ML models, **not available in any other statistical software**: -* \mbox{\texttt{dynrmf}}; an autoregressive dynamic model inspired by **N**eural **N**etwork **A**uto**r**egression (NNAR) ( @hyndman2013forecasting), and described in [https://otexts.com/fpp2/nnetar.html#neural-network-autoregression](https://otexts.com/fpp2/nnetar.html#neural-network-autoregression). As NNAR, \mbox{\texttt{dynrmf}} does an automatic choice of the number of autoregressive and seasonal time series lags. \mbox{\texttt{dynrmf}} is however more generic, and __can use any ML model__ (the default model is [Ridge Regression](https://en.wikipedia.org/wiki/Ridge_regression)). +* \mbox{\texttt{dynrmf}}; an autoregressive dynamic model inspired by **N**eural **N**etwork **A**uto**r**egression (NNAR) (from @hyndman2013forecasting), and described with more details in [https://otexts.com/fpp2/nnetar.html#neural-network-autoregression](https://otexts.com/fpp2/nnetar.html#neural-network-autoregression). As NNAR, \mbox{\texttt{dynrmf}} does an automatic choice of the number of autoregressive and seasonal time series lags. \mbox{\texttt{dynrmf}} is however more generic, and __can use any ML model__ (the default model is [Ridge Regression](https://en.wikipedia.org/wiki/Ridge_regression)). -* \mbox{\texttt{ahead::ridge2f}} (@moudiki2018multiple) implements a __quasi-randomized *neural* networks__ model extending Ridge_regression to 2 regularization parameters, and capable of producing nonlinear outputs thanks to the use of a *hidden layer*. \newline Since its first publication in 2018, \mbox{\texttt{ahead::ridge2f}} has been enhanced for integrating uncertainty quantification through the (independen/block) bootstrap (@efron1986bootstrap) and copulas' simulation(@brechmann2013modeling, @nagler2023vine). Ongoing developments include conformal prediction (@vovk2005algorithmic) and Kernel Density Estimation (@silverman2018density). +* \mbox{\texttt{ahead::ridge2f}} (@moudiki2018multiple) implements a __quasi-randomized *neural* networks__ model extending Ridge_regression to 2 regularization parameters, and capable of producing nonlinear outputs thanks to the use of a *hidden layer*. Since its first publication in 2018, \mbox{\texttt{ahead::ridge2f}} has been enhanced for integrating uncertainty quantification through the (independen/block) bootstrap (@efron1986bootstrap) and copulas' simulation(@brechmann2013modeling, @nagler2023vine). Ongoing developments include conformal prediction (@vovk2005algorithmic) and Kernel Density Estimation (@silverman2018density). # Examples From 5b703e30d831fb12e9cae9fe2ef7aa07cb30e538 Mon Sep 17 00:00:00 2001 From: Thierry Moudiki Date: Mon, 7 Apr 2025 18:16:46 +0200 Subject: [PATCH 6/8] rm Rplots.pdf --- tests/testthat/Rplots.pdf | Bin 6875 -> 0 bytes 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 tests/testthat/Rplots.pdf diff --git a/tests/testthat/Rplots.pdf b/tests/testthat/Rplots.pdf deleted file mode 100644 index 1694cd3eebc92b9e873213af2132ee826cd1400b..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 6875 zcmb7p2UJtrwl+mTqJlI9MTsDSQbIxtOm)Xe|xSq*Ph8-^ZVxF)rF}DfrZ5Yyna)D(|%ok zeHJ(X7$^e7*xUig$^t;jI3%3lh(W{P1SF6jCJhmRh>M6qB*9>?n5fiM07wgC`~Q7r z=tw}3M(G1pad51IBLWZ9Ari1e0%@2o4r5D1AaUfUV#1=rq9p9d7lsU71zf)lK%#BQ ztAPBu8X(Bf4T}VVl;H$83S$oh>B8-ic%UfBKp*(m0LkA5knPCUI3$|zFLRJG22CK{ 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0 -> 163176 bytes src/compute_attention.o | Bin 422976 -> 378368 bytes src/embedc.o | Bin 422664 -> 375872 bytes src/utils_armagarch.o | Bin 359048 -> 346936 bytes src/utils_matrix.o | Bin 519800 -> 522752 bytes tests/testthat/Rplots.pdf | Bin 6875 -> 6875 bytes vignettes/glmthetaf-ridge-attention.Rmd | 22 -- vignettes/paper.Rmd | 237 ------------------ .../figure-latex/unnamed-chunk-11-1.pdf | Bin 5425 -> 0 bytes .../figure-latex/unnamed-chunk-12-1.pdf | Bin 12562 -> 0 bytes .../figure-latex/unnamed-chunk-13-1.pdf | Bin 5866 -> 0 bytes .../figure-latex/unnamed-chunk-15-1.pdf | Bin 23776 -> 0 bytes .../figure-latex/unnamed-chunk-4-1.pdf | Bin 5415 -> 0 bytes .../figure-latex/unnamed-chunk-6-1.pdf | Bin 5642 -> 0 bytes .../figure-latex/unnamed-chunk-8-1.pdf | Bin 5441 -> 0 bytes .../figure-latex/unnamed-chunk-9-1.pdf | Bin 13025 -> 0 bytes 18 files changed, 1 insertion(+), 259 deletions(-) create mode 100755 src/ahead.so delete mode 100644 vignettes/glmthetaf-ridge-attention.Rmd delete mode 100644 vignettes/paper.Rmd delete mode 100644 vignettes/paper_files/figure-latex/unnamed-chunk-11-1.pdf delete mode 100644 vignettes/paper_files/figure-latex/unnamed-chunk-12-1.pdf delete mode 100644 vignettes/paper_files/figure-latex/unnamed-chunk-13-1.pdf delete mode 100644 vignettes/paper_files/figure-latex/unnamed-chunk-15-1.pdf delete mode 100644 vignettes/paper_files/figure-latex/unnamed-chunk-4-1.pdf delete mode 100644 vignettes/paper_files/figure-latex/unnamed-chunk-6-1.pdf delete mode 100644 vignettes/paper_files/figure-latex/unnamed-chunk-8-1.pdf delete mode 100644 vignettes/paper_files/figure-latex/unnamed-chunk-9-1.pdf diff --git a/NAMESPACE b/NAMESPACE index 5301b9f..a5a1080 100644 --- a/NAMESPACE +++ b/NAMESPACE @@ -42,6 +42,7 @@ export("ridge2f") export("ridge") export("varf") export("createtrendseason") +export("get_error") export("getreturns") export("getsimulations") export("removenas") diff --git a/src/RcppExports.o b/src/RcppExports.o index 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b/tests/testthat/Rplots.pdf index 02bd8786cf817072389ac79afeddc86b2e67c9bb..dc5bc65207c6e0358861f21d2a22940eb42abe68 100644 GIT binary patch delta 48 wcmca@dfRk@nW~AQp`p2nnUSF;m%eX)ic4Zis)B}#m63swsR3MWV|0TQ08zvZ2LJ#7 delta 48 wcmca@dfRk@nX0joiIIV+rIC>)m%eX)ic4Zis)B}#m63swsR3MWV|0TQ08$nW3jhEB diff --git a/vignettes/glmthetaf-ridge-attention.Rmd b/vignettes/glmthetaf-ridge-attention.Rmd deleted file mode 100644 index bb1ff87..0000000 --- a/vignettes/glmthetaf-ridge-attention.Rmd +++ /dev/null @@ -1,22 +0,0 @@ ---- -title: "Ridge Theta Forecast with attention - conformal uncertainty" -output: rmarkdown::html_vignette -vignette: > - %\VignetteIndexEntry{Ridge Theta Forecast with attention - conformal uncertainty} - %\VignetteEngine{knitr::rmarkdown} - %\VignetteEncoding{UTF-8} ---- - -# USAccDeaths - - -```{r fig.width=7.5} -(obj <- suppressWarnings(ahead::glmthetaf(USAccDeaths, h=25L, fit_func=MASS::glm.nb, attention = TRUE, type_pi = "conformal-split", method="adj"))) -plot(obj) -``` - -# AirPassengers - -```{r fig.width=5.5} -(obj <- suppressWarnings(ahead::glmthetaf(AirPassengers, h=25L, fit_func=MASS::glm.nb, attention = TRUE, type_pi = "conformal-split", method="adj"))) -``` diff --git a/vignettes/paper.Rmd b/vignettes/paper.Rmd deleted file mode 100644 index b66aa41..0000000 --- a/vignettes/paper.Rmd +++ /dev/null @@ -1,237 +0,0 @@ ---- -title: 'ahead: Univariate and multivariate time series forecasting with uncertainty quantification including simulation approaches' -tags: -- Python -- R -- Julia -- Time series -- Forecasting -- Machine Learning -- Uncertainty -date: "March 25, 2025" -output: - pdf_document: default - word_document: default - html_document: - df_print: paged -authors: -- name: Thierry Moudiki - orcid: "0000-0002-9422-5459" - affiliation: 1 -affiliations: -- name: "Techtonique LLC" - index: 1 -bibliography: biblio.bib ---- - -# Summary - -`ahead` contains multiple time series forecasting models, and provides uncertainty quantification through parametric and non-parametric methods, including simulation-based approaches. This paper presents two original Machine Learning models implemented in R version of `ahead` package for forecasting univariate and multivariate time series: `dynrmf`, an autoregressive model that can utilize any Machine Learning model for forecasting univariate time series, and `ridge2f` that extends ridge regression with two regularization parameters and a hidden layer for producing nonlinear outputs. - -# Statement of need - -Forecasting multivariate time series (MTS hereafter, and including the univariate case) is important for business planning and decision support in finance (stress-testing with financial scenarios), insurance (reserving and required capital valuation), and other industries such as *Energy* (load anticipation) and meteorology. One can obtain point forecasts from a statistical/Machine Learning (ML) model, but these point forecasts are generally of limited importance to analysts. What matters more is the model's ability to quantify the uncertainty around its predictions. - -There are multiple MTS forecasting models available in [\textsf{R} package](https://github.com/Techtonique/ahead) `ahead`'s version `0.18.0` ([\textsf{Python}](https://github.com/Techtonique/ahead_python) and [\textsf{Julia}](https://github.com/Techtonique/Ahead.jl) implementations, following \textsf{R}'s API as closely as possible). R version of `ahead` itself is available at [r-packages.techtonique.net](https://r-packages.techtonique.net/), and distributed across all major operating systems. - -`ahead`'s models generally include parametric prediction intervals alongside non-parametric ones, simulation-based uncertainty quantification techniques. This paper describes **two** of these ML models, **not available in any other statistical software**: - -* \mbox{\texttt{dynrmf}}; an autoregressive dynamic model inspired by **N**eural **N**etwork **A**uto**r**egression (NNAR) (from @hyndman2013forecasting), and described with more details in [https://otexts.com/fpp2/nnetar.html#neural-network-autoregression](https://otexts.com/fpp2/nnetar.html#neural-network-autoregression). As NNAR, \mbox{\texttt{dynrmf}} does an automatic choice of the number of autoregressive and seasonal time series lags. \mbox{\texttt{dynrmf}} is however more generic, and __can use any ML model__ (the default model is [Ridge Regression](https://en.wikipedia.org/wiki/Ridge_regression)). - -* \mbox{\texttt{ahead::ridge2f}} (@moudiki2018multiple) implements a __quasi-randomized *neural* networks__ model extending Ridge_regression to 2 regularization parameters, and capable of producing nonlinear outputs thanks to the use of a *hidden layer*. Since its first publication in 2018, \mbox{\texttt{ahead::ridge2f}} has been enhanced for integrating predictive uncertainty quantification through the (independent/block) bootstrap (@efron1986bootstrap) and copulas' simulation(@brechmann2013modeling, @nagler2023vine). As of march 2025, conformal prediction which improves the quality of prediction intervals (see @vovk2005algorithmic) has been included. - -# Examples - -## Install `ahead` in \textsf{R} - -```{r cache=TRUE} -options(repos = c(techtonique = "https://r-packages.techtonique.net", - CRAN = "https://cloud.r-project.org")) -utils::install.packages("rmarkdown") -utils::install.packages("remotes") -utils::install.packages("forecast") -utils::install.packages("fpp") -utils::install.packages("ggplot2") -utils::install.packages("e1071") -utils::install.packages("randomForest") -utils::install.packages("dfoptim") -utils::install.packages("ahead") -``` - -```{r cache=TRUE} -library(ahead) -library(forecast) -library(ggplot2) -library(randomForest) -library(e1071) -``` - -## Use `ahead::ridge2f` - -### Use `ahead::ridge2f` for univariate time series forecasting - -In all the examples presented below, default hyperparameters are used: 5 nodes in the hidden layer (see @moudiki2018multiple for more details) and a ReLU activation function (see @goodfellow2016deep) are used. - -The `fdeaths` data set below contains **monthly deaths of females from various diseases in the UK, 1974-1979**. Here's how to obtain 20-steps-ahead forecasts for `fdeaths` with `ahead::ridge2f`; including seasonality terms. The default level for the prediction interval is equal to 95%. - -```{r warning=FALSE, message=FALSE} -x <- fdeaths # input dataset -xreg <- ahead::createtrendseason(x) # add seasonality and trend -z <- ahead::ridge2f(x, xreg = xreg, h=20L) # forecasting h-steps ahead -``` - -```{r warning=FALSE, message=FALSE} -ggplot2::autoplot(z) # plot forecast -``` - - -`EuStocksLogReturns` contains the daily log-returns of major European stock indices, with 1860 observations. Only the first 100 dates of the DAX index dataset are used in the example below. - - -```{r warning=FALSE, message=FALSE} -data(EuStockMarkets) -EuStocks <- ts(EuStockMarkets[1:100, ], - start = start(EuStockMarkets), - frequency = frequency(EuStockMarkets)) # original data -EuStocksLogReturns <- ahead::getreturns(EuStocks, type = "log") # obtain log-returns -res <- ahead::ridge2f(EuStocksLogReturns[, "DAX"], h = 20L, -type_pi = "movingblockbootstrap", - show_progress = FALSE) -``` - -```{r warning=FALSE, message=FALSE} -ggplot2::autoplot(res) # plot forecast -``` - - -### Use `ahead::dynrmf` for univariate time series forecasting - -`fdeaths` is used in this example too. The default model used by ahead::dynrmf is automated ridge regression, which automatically selects the regularization parameter using Leave-One-Out cross-validation (see @bergmeir2018note): - -**- Forecasting with `randomForest::randomForest`** - -```{r warning=FALSE, message=FALSE} -# Plotting forecasts -# With Random Forest regressor, horizon of 20, -# 95% prediction interval -fit_rf <- ahead::dynrmf(fdeaths, h=20, level=95, fit_func = randomForest::randomForest, - fit_params = list(ntree = 50), predict_func = predict) -``` - -```{r warning=FALSE, message=FALSE} -ggplot2::autoplot(fit_rf) -``` - - -Check in-sample residuals: - -```{r warning=FALSE, message=FALSE} -forecast::checkresiduals(fit_rf) -``` - - - Ljung-Box test - - data: Residuals from DynRM 1,1[12] - Q* = 9.8649, df = 12, p-value = 0.6278 - - Model df: 0. Total lags used: 12 - - - - -**- Forecasting with `e1071::svm`** (Support Vector Machines) - -```{r warning=FALSE, message=FALSE} -# With Support Vector Machine regressor, horizon of 20, -# 95% prediction interval -fit_svm <- ahead::dynrmf(fdeaths, h=20, level=95, fit_func = e1071::svm, -fit_params = list(kernel = "linear"), predict_func = predict) -``` - -```{r warning=FALSE, message=FALSE} -ggplot2::autoplot(fit_svm) -``` - - -Check in-sample residuals: - -```{r warning=FALSE, message=FALSE} -forecast::checkresiduals(fit_svm) -``` - - - Ljung-Box test - - data: Residuals from DynRM 1,1[12] - Q* = 27.351, df = 12, p-value = 0.006875 - - Model df: 0. Total lags used: 12 - - -**- Use of an external regressor** (trend) - -The `AirPassengers` dataset has been widely tested as a specialized benchmark in forecasting literature because it displays trend, seasonality, and heteroskedasticity. - -```{r warning=FALSE, message=FALSE} -h <- 20L # forecasting horizon -res6 <- ahead::dynrmf(AirPassengers, -xreg_fit = 1:length(AirPassengers), -xreg_predict = (length(AirPassengers)+1):(length(AirPassengers)+h), -h=h) -ggplot2::autoplot(res6) -``` - - - -### `ahead::ridge2f` for MTS forecasting - -The `insurance` dataset (@hyndman2013forecasting) contains monthly quotations and television advertising expenditure for a US insurance company from January 2002 to April 2005. Fast calibration of `ahead::ridge2f` relies on generalized leave-one-out cross-validation as it will be shown in the following \textsf{R} example. It's worth mentioning that **only the 2 regularization parameters are calibrated** here. Other model's hyperparameters such as the number of time series lags or the number of nodes in the hidden layer are set to their default values (respectively `1` and `5`). - - -```{r warning=FALSE, message=FALSE} -objective_function <- function(xx) -{ - ahead::loocvridge2f(fpp::insurance, - h = 20L, - type_pi="blockbootstrap", - lambda_1=10^xx[1], - lambda_2=10^xx[2], - show_progress = FALSE, - )$loocv -} -start <- proc.time()[3] -(opt <- dfoptim::nmkb(fn=objective_function, - lower=c(-10,-10), - upper=c(10,10), - par=c(0.1, 0.1))) -print(proc.time()[3]-start) -``` - -**Forecasting using the _optimal_ regularization parameters** - -The `plot` method (an [S3 method](https://cran.r-project.org/doc/manuals/R-exts.html#Registering-S3-methods)) from `ahead` is used to visualize the predictive simulations and prediction intervals for the `Quotes` and `TV.advert` time series. - -```{r warning=FALSE, message=FALSE} -start <- proc.time()[3] -res <- ahead::ridge2f(fpp::insurance, h = 20L, - type_pi="blockbootstrap", - B = 100L, # number of predictive simulations - lambda_1=10^opt$par[1], # 'optimal' parameters - lambda_2=10^opt$par[2]) # 'optimal' parameters -print(proc.time()[3]-start) - - -par(mfrow=c(2, 2)) -plot(res, "Quotes", type = "sims", -main = "predictive simulations") -plot(res, "TV.advert", type = "sims", -main = "predictive simulations") -plot(res, "Quotes", type = "dist", -main = "prediction intervals") -plot(res, "TV.advert", type = "dist", -main = "prediction intervals") -``` - - -# Citations diff --git a/vignettes/paper_files/figure-latex/unnamed-chunk-11-1.pdf b/vignettes/paper_files/figure-latex/unnamed-chunk-11-1.pdf deleted file mode 100644 index 77d5a0b75ca8455c18364f19526996624133f7c6..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 5425 zcmZ{Ic|6o>`@bdIwAhkF455)_7P}}h_9RQjHW*_tHD;J4OJv`d6C$$jMM9JrD#lYmAPvKxg=b-PX^I8x9UBJEaAMpj0aiv7w(pg|IVOP2r`yd$j&*x%Iv 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