From 461d54e17c1243b77164ddb65768b1dd99b903f1 Mon Sep 17 00:00:00 2001 From: Anthony Li <38049831+doccstat@users.noreply.github.com> Date: Thu, 23 May 2024 23:47:51 -0500 Subject: [PATCH] Clean up vignettes --- DESCRIPTION | 11 - vignettes/comparison-packages-ar_data-mcp.svg | 1275 ---- .../comparison-packages-mean_data_1-bcp.svg | 1365 ----- .../comparison-packages-mean_data_1-mcp.svg | 1264 ---- .../comparison-packages-mean_data_3-bcp.svg | 3373 ----------- .../comparison-packages-mv_data_1-mcp.svg | 2255 -------- .../comparison-packages-well_log-cpts.svg | 5102 ----------------- .../comparison-packages-well_log-time.svg | 497 -- vignettes/comparison-packages.Rmd | 2295 ++++++-- vignettes/comparison-packages.Rmd.original | 1358 +++++ vignettes/figure/ar3-mcp-result-1.png | Bin 0 -> 71750 bytes vignettes/figure/data-setup-ar3-1.png | Bin 0 -> 34641 bytes vignettes/figure/data-setup-garch11-1.png | Bin 0 -> 26736 bytes vignettes/figure/data-setup-lasso-1.png | Bin 0 -> 49080 bytes .../figure/data-setup-linear-regression-1.png | Bin 0 -> 41719 bytes .../data-setup-logistic-regression-1.png | Bin 0 -> 52845 bytes ...ivariate-mean-and-or-variance-change-1.png | Bin 0 -> 29927 bytes .../data-setup-multivariate-mean-change-1.png | Bin 0 -> 36866 bytes .../data-setup-poisson-regression-1.png | Bin 0 -> 30561 bytes .../data-setup-poisson-regression-2.png | Bin 0 -> 55363 bytes ...ivariate-mean-and-or-variance-change-1.png | Bin 0 -> 21988 bytes .../data-setup-univariate-mean-change-1.png | Bin 0 -> 29307 bytes vignettes/figure/data-setup-var2-1.png | Bin 0 -> 40305 bytes .../detection-comparison-well-log-plot-1.png | Bin 0 -> 56791 bytes .../multivariate-mean-change-bcp-result-1.png | Bin 0 -> 89528 bytes .../time-comparison-well-log-plot-1.png | Bin 0 -> 7313 bytes ...an-and-or-variance-change-mcp-result-1.png | Bin 0 -> 53996 bytes ...an-and-or-variance-change-not-result-1.png | Bin 0 -> 32246 bytes ...an-and-or-variance-change-not-result-2.png | Bin 0 -> 33680 bytes .../univariate-mean-change-bcp-result-1.png | Bin 0 -> 48235 bytes .../univariate-mean-change-mcp-result-1.png | Bin 0 -> 60330 bytes .../univariate-mean-change-not-result-1.png | Bin 0 -> 39442 bytes 32 files changed, 3104 insertions(+), 15691 deletions(-) delete mode 100644 vignettes/comparison-packages-ar_data-mcp.svg delete mode 100644 vignettes/comparison-packages-mean_data_1-bcp.svg delete mode 100644 vignettes/comparison-packages-mean_data_1-mcp.svg delete mode 100644 vignettes/comparison-packages-mean_data_3-bcp.svg delete mode 100644 vignettes/comparison-packages-mv_data_1-mcp.svg delete mode 100644 vignettes/comparison-packages-well_log-cpts.svg delete mode 100644 vignettes/comparison-packages-well_log-time.svg create mode 100644 vignettes/comparison-packages.Rmd.original create mode 100644 vignettes/figure/ar3-mcp-result-1.png create mode 100644 vignettes/figure/data-setup-ar3-1.png create mode 100644 vignettes/figure/data-setup-garch11-1.png create mode 100644 vignettes/figure/data-setup-lasso-1.png create mode 100644 vignettes/figure/data-setup-linear-regression-1.png create mode 100644 vignettes/figure/data-setup-logistic-regression-1.png create mode 100644 vignettes/figure/data-setup-multivariate-mean-and-or-variance-change-1.png create mode 100644 vignettes/figure/data-setup-multivariate-mean-change-1.png create mode 100644 vignettes/figure/data-setup-poisson-regression-1.png create mode 100644 vignettes/figure/data-setup-poisson-regression-2.png create mode 100644 vignettes/figure/data-setup-univariate-mean-and-or-variance-change-1.png create mode 100644 vignettes/figure/data-setup-univariate-mean-change-1.png create mode 100644 vignettes/figure/data-setup-var2-1.png create mode 100644 vignettes/figure/detection-comparison-well-log-plot-1.png create mode 100644 vignettes/figure/multivariate-mean-change-bcp-result-1.png create mode 100644 vignettes/figure/time-comparison-well-log-plot-1.png create mode 100644 vignettes/figure/univariate-mean-and-or-variance-change-mcp-result-1.png create mode 100644 vignettes/figure/univariate-mean-and-or-variance-change-not-result-1.png create mode 100644 vignettes/figure/univariate-mean-and-or-variance-change-not-result-2.png create mode 100644 vignettes/figure/univariate-mean-change-bcp-result-1.png create mode 100644 vignettes/figure/univariate-mean-change-mcp-result-1.png create mode 100644 vignettes/figure/univariate-mean-change-not-result-1.png diff --git a/DESCRIPTION b/DESCRIPTION index 5685c7bd..617417d1 100644 --- a/DESCRIPTION +++ b/DESCRIPTION @@ -36,30 +36,19 @@ Imports: tseries Suggests: abind, - breakfast, - changepoint, - cpm, - CptNonPar, dplyr, - fpop, ggplot2, gridExtra, - jointseg, knitr, lubridate, matrixStats, mockthat, mvtnorm, - not, numDeriv, RcppClock, reshape2, rmarkdown, - segmented, - stepR, testthat (>= 3.0.0), - VARDetect, - wbs, xml2, zoo LinkingTo: diff --git a/vignettes/comparison-packages-ar_data-mcp.svg b/vignettes/comparison-packages-ar_data-mcp.svg deleted file mode 100644 index 8b4cbbb1..00000000 --- a/vignettes/comparison-packages-ar_data-mcp.svg +++ /dev/null @@ -1,1275 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 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- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/vignettes/comparison-packages.Rmd b/vignettes/comparison-packages.Rmd index cbe82e77..8d371d5e 100644 --- a/vignettes/comparison-packages.Rmd +++ b/vignettes/comparison-packages.Rmd @@ -9,18 +9,14 @@ vignette: > %\VignetteEncoding{UTF-8} --- -```{r, include = FALSE} -knitr::opts_chunk$set( - collapse = TRUE, comment = "#>", eval = TRUE, cache = FALSE, - warning = FALSE, fig.width = 8, fig.height = 5 -) -``` + # Data setup ## Univariate mean change -```{r data-setup-univariate-mean-change} + +```r # Univariate mean change set.seed(1) p <- 1 @@ -33,9 +29,12 @@ mean_data_1 <- rbind( plot.ts(mean_data_1) ``` +![plot of chunk data-setup-univariate-mean-change](figure/data-setup-univariate-mean-change-1.png) + ## Univariate mean and/or variance change -```{r data-setup-univariate-mean-and-or-variance-change} + +```r # Univariate mean and/or variance change set.seed(1) p <- 1 @@ -51,9 +50,12 @@ mv_data_1 <- rbind( plot.ts(mv_data_1) ``` +![plot of chunk data-setup-univariate-mean-and-or-variance-change](figure/data-setup-univariate-mean-and-or-variance-change-1.png) + ## Multivariate mean change -```{r data-setup-multivariate-mean-change} + +```r # Multivariate mean change set.seed(1) p <- 3 @@ -66,9 +68,12 @@ mean_data_3 <- rbind( plot.ts(mean_data_3) ``` +![plot of chunk data-setup-multivariate-mean-change](figure/data-setup-multivariate-mean-change-1.png) + ## Multivariate mean and/or variance change -```{r data-setup-multivariate-mean-and-or-variance-change} + +```r # Multivariate mean and/or variance change set.seed(1) p <- 4 @@ -84,9 +89,12 @@ mv_data_3 <- rbind( plot.ts(mv_data_3) ``` +![plot of chunk data-setup-multivariate-mean-and-or-variance-change](figure/data-setup-multivariate-mean-and-or-variance-change-1.png) + ## Linear regression -```{r data-setup-linear-regression} + +```r # Linear regression set.seed(1) n <- 300 @@ -103,9 +111,12 @@ lm_data <- data.frame(y = y, x = x) plot.ts(lm_data) ``` +![plot of chunk data-setup-linear-regression](figure/data-setup-linear-regression-1.png) + ## Logistic regression -```{r data-setup-logistic-regression} + +```r # Logistic regression set.seed(1) n <- 500 @@ -121,9 +132,12 @@ binomial_data <- data.frame(y = y, x = x) plot.ts(binomial_data) ``` +![plot of chunk data-setup-logistic-regression](figure/data-setup-logistic-regression-1.png) + ## Poisson regression -```{r data-setup-poisson-regression} + +```r # Poisson regression set.seed(1) n <- 1100 @@ -140,12 +154,20 @@ y <- c( poisson_data <- data.frame(y = y, x = x) plot.ts(log(poisson_data$y)) +``` + +![plot of chunk data-setup-poisson-regression](figure/data-setup-poisson-regression-1.png) + +```r plot.ts(poisson_data[, -1]) ``` +![plot of chunk data-setup-poisson-regression](figure/data-setup-poisson-regression-2.png) + ## Lasso -```{r data-setup-lasso} + +```r # Lasso set.seed(1) n <- 480 @@ -170,9 +192,12 @@ lasso_data <- data.frame(y = y, x = x) plot.ts(lasso_data[, seq_len(p_true + 1)]) ``` +![plot of chunk data-setup-lasso](figure/data-setup-lasso-1.png) + ## AR(3) -```{r data-setup-ar3} + +```r # AR(3) set.seed(1) n <- 1000 @@ -188,9 +213,12 @@ ar_data <- x[-seq_len(3)] plot.ts(ar_data) ``` +![plot of chunk data-setup-ar3](figure/data-setup-ar3-1.png) + ## GARCH(1, 1) -```{r data-setup-garch11} + +```r # GARCH(1, 1) set.seed(1) n <- 400 @@ -209,9 +237,12 @@ garch_data <- x[-1] plot.ts(garch_data) ``` +![plot of chunk data-setup-garch11](figure/data-setup-garch11-1.png) + ## VAR(2) -```{r data-setup-var2} + +```r # VAR(2) set.seed(1) n <- 800 @@ -230,635 +261,1846 @@ var_data <- x[-seq_len(2), ] plot.ts(var_data) ``` +![plot of chunk data-setup-var2](figure/data-setup-var2-1.png) + # Univariate mean change The true change points are 300 and 700. Some methods are plotted due to the un-retrievable change points. -```{r univariate-mean-change-fastcpd} -(fastcpd_result <- fastcpd::fastcpd.mean(mean_data_1, r.progress = FALSE)@cp_set) -``` -```{r univariate-mean-change-fastcpd-testthat, include = FALSE} -testthat::expect_equal(fastcpd_result, c(300, 700), tolerance = 0.2) +```r +results[["mean_data_1"]][["fastcpd"]] <- + fastcpd::fastcpd.mean(mean_data_1, r.progress = FALSE)@cp_set ``` -```{r univariate-mean-change-CptNonPar} -(CptNonPar_result <- CptNonPar::np.mojo(mean_data_1, G = floor(length(mean_data_1) / 6))$cpts) + +```r +results[["mean_data_1"]][["fastcpd"]] +#> [1] 300 700 ``` -```{r univariate-mean-change-CptNonPar-testthat, include = FALSE} -testthat::expect_equal(CptNonPar_result, c(300, 700), tolerance = 0.2) + + + +```r +results[["mean_data_1"]][["CptNonPar"]] <- + CptNonPar::np.mojo(mean_data_1, G = floor(length(mean_data_1) / 6))$cpts ``` -```{r univariate-mean-change-strucchange, eval = FALSE} -strucchange::breakpoints(y ~ 1, data = data.frame(y = mean_data_1))$breakpoints + +```r +results[["mean_data_1"]][["CptNonPar"]] #> [1] 300 700 ``` -```{r univariate-mean-change-ecp, eval = FALSE} -ecp::e.divisive(mean_data_1)$estimates -#> [1] 1 301 701 1001 + + + +```r +results[["mean_data_1"]][["strucchange"]] <- + strucchange::breakpoints(y ~ 1, data = data.frame(y = mean_data_1))$breakpoints ``` -```{r univariate-mean-change-changepoint} -(changepoint_result <- changepoint::cpt.mean(c(mean_data_1))@cpts) + +```r +results[["mean_data_1"]][["strucchange"]] +#> [1] 300 700 ``` -```{r univariate-mean-change-changepoint-testthat, include = FALSE} -testthat::expect_equal(changepoint_result, c(300, 1000), tolerance = 0.2) + + + +```r +results[["mean_data_1"]][["ecp"]] <- ecp::e.divisive(mean_data_1)$estimates ``` -```{r univariate-mean-change-breakfast} -(breakfast_result <- breakfast::breakfast(mean_data_1)$cptmodel.list[[6]]$cpts) + +```r +results[["mean_data_1"]][["ecp"]] +#> [1] 1 301 701 1001 ``` -```{r univariate-mean-change-breakfast-testthat, include = FALSE} -testthat::expect_equal(breakfast_result, c(300, 700), tolerance = 0.2) + + + +```r +results[["mean_data_1"]][["changepoint"]] <- + changepoint::cpt.mean(c(mean_data_1))@cpts ``` -```{r univariate-mean-change-wbs} -(wbs_result <- wbs::wbs(mean_data_1)$cpt$cpt.ic$mbic.penalty) + +```r +results[["mean_data_1"]][["changepoint"]] +#> [1] 300 1000 ``` -```{r univariate-mean-change-wbs-testthat, include = FALSE} -testthat::expect_equal(wbs_result, c(300, 700), tolerance = 0.2) + + + +```r +results[["mean_data_1"]][["breakfast"]] <- + breakfast::breakfast(mean_data_1)$cptmodel.list[[6]]$cpts ``` -```{r univariate-mean-change-mosum, eval = FALSE} -mosum::mosum(c(mean_data_1), G = 40)$cpts.info$cpts + +```r +results[["mean_data_1"]][["breakfast"]] #> [1] 300 700 ``` -```{r univariate-mean-change-fpop} -(fpop_result <- fpop::Fpop(mean_data_1, nrow(mean_data_1))$t.est) -``` -```{r univariate-mean-change-fpop-testthat, include = FALSE} -testthat::expect_equal(fpop_result, c(300, 700, 1000), tolerance = 0.2) -``` -```{r univariate-mean-change-gfpop, eval = FALSE} -gfpop::gfpop( - data = mean_data_1, - mygraph = gfpop::graph( - penalty = 2 * log(nrow(mean_data_1)) * gfpop::sdDiff(mean_data_1) ^ 2, - type = "updown" - ), - type = "mean" -)$changepoints -#> [1] 300 700 1000 + +```r +results[["mean_data_1"]][["wbs"]] <- + wbs::wbs(mean_data_1)$cpt$cpt.ic$mbic.penalty ``` -```{r univariate-mean-change-InspectChangepoint, eval = FALSE} -invisible( - suppressMessages( - capture.output( - result_InspectChangepoint <- InspectChangepoint::inspect( - t(mean_data_1), - threshold = InspectChangepoint::compute.threshold( - nrow(mean_data_1), ncol(mean_data_1) - ) - ) - ) - ) -) -result_InspectChangepoint$changepoints[, "location"] + +```r +results[["mean_data_1"]][["wbs"]] #> [1] 300 700 ``` -```{r univariate-mean-change-jointseg} -(jointseg_result <- jointseg::jointSeg(mean_data_1, K = 2)$bestBkp) -``` -```{r univariate-mean-change-jointseg-testthat, include = FALSE} -testthat::expect_equal(jointseg_result, c(300, 700), tolerance = 0.2) -``` -```{r univariate-mean-change-Rbeast, eval = FALSE} -Rbeast::beast( - mean_data_1, season = "none", print.progress = FALSE, quiet = TRUE -)$trend$cp -#> [1] 701 301 NaN NaN NaN NaN NaN NaN NaN NaN -``` -```{r univariate-mean-change-stepR} -(stepR_result <- stepR::stepFit(mean_data_1, alpha = 0.5)$rightEnd) +```r +results[["mean_data_1"]][["mosum"]] <- + mosum::mosum(c(mean_data_1), G = 40)$cpts.info$cpts ``` -```{r univariate-mean-change-stepR-testthat, include = FALSE} -testthat::expect_equal(stepR_result, c(300, 700, 1000), tolerance = 0.2) -``` -```{r univariate-mean-change-cpm} -(cpm_result <- cpm::processStream(mean_data_1, cpmType = "Student")$changePoints) +```r +results[["mean_data_1"]][["mosum"]] +#> [1] 300 700 ``` -```{r univariate-mean-change-cpm-testthat, include = FALSE} -testthat::expect_equal(cpm_result, c(299, 699), tolerance = 0.2) -``` -```{r univariate-mean-change-segmented} -(segmented_result <- segmented::stepmented( - as.numeric(mean_data_1), npsi = 2 -)$psi[, "Est."]) -``` -```{r univariate-mean-change-segmented-testthat, include = FALSE} -testthat::expect_equivalent(segmented_result, c(298, 699), tolerance = 0.2) + +```r +results[["mean_data_1"]][["fpop"]] <- + fpop::Fpop(mean_data_1, nrow(mean_data_1))$t.est ``` -```{r univariate-mean-change-mcp, eval = FALSE} -plot( - mcp::mcp( - list(y ~ 1, ~ 1, ~ 1), - data = data.frame(y = mean_data_1, x = seq_len(nrow(mean_data_1))), - par_x = "x" - ) -) + +```r +results[["mean_data_1"]][["fpop"]] +#> [1] 300 700 1000 ``` -![`mcp` plot for univariate mean change](comparison-packages-mean_data_1-mcp.svg) -```{r univariate-mean-change-not} -plot(not::not(mean_data_1, contrast = "pcwsConstMean")) + + +```r +results[["mean_data_1"]][["gfpop"]] <- + gfpop::gfpop( + data = mean_data_1, + mygraph = gfpop::graph( + penalty = 2 * log(nrow(mean_data_1)) * gfpop::sdDiff(mean_data_1) ^ 2, + type = "updown" + ), + type = "mean" + )$changepoints ``` -```{r univariate-mean-change-bcp, eval = FALSE} -plot(bcp::bcp(mean_data_1)) + +```r +results[["mean_data_1"]][["gfpop"]] +#> [1] 300 700 1000 ``` -![`bcp` plot for univariate mean change](comparison-packages-mean_data_1-bcp.svg) -# Univariate mean and/or variance change -The true change points are 300, 700, 1000, 1300 and 1700. -Some methods are plotted due to the un-retrievable change points. -```{r univariate-mean-and-or-variance-change-fastcpd} -(fastcpd_result <- fastcpd::fastcpd.mv(mv_data_1, r.progress = FALSE)@cp_set) +```r +results[["mean_data_1"]][["InspectChangepoint"]] <- InspectChangepoint::inspect( + t(mean_data_1), + threshold = InspectChangepoint::compute.threshold( + nrow(mean_data_1), ncol(mean_data_1) + ) +)$changepoints[, "location"] ``` -```{r univariate-mean-and-or-variance-change-fastcpd-testthat, include = FALSE} -testthat::expect_equal(fastcpd_result, c(300, 700, 1001, 1300, 1700), tolerance = 0.2) -``` -```{r univariate-mean-and-or-variance-change-ecp, eval = FALSE} -ecp::e.divisive(mv_data_1)$estimates -#> [1] 1 301 701 1001 1301 1701 2001 +```r +results[["mean_data_1"]][["InspectChangepoint"]] +#> [1] 300 700 ``` -```{r univariate-mean-and-or-variance-change-changepoint} -(changepoint_result <- changepoint::cpt.meanvar(c(mv_data_1))@cpts) -``` -```{r univariate-mean-and-or-variance-change-changepoint-testthat, include = FALSE} -testthat::expect_equal(changepoint_result, c(300, 2000), tolerance = 0.2) -``` -```{r univariate-mean-and-or-variance-change-CptNonPar} -(CptNonPar_result <- CptNonPar::np.mojo(mv_data_1, G = floor(length(mv_data_1) / 6))$cpts) + +```r +results[["mean_data_1"]][["jointseg"]] <- + jointseg::jointSeg(mean_data_1, K = 2)$bestBkp ``` -```{r univariate-mean-and-or-variance-change-CptNonPar-testthat, include = FALSE} -testthat::expect_equal(CptNonPar_result, c(333, 700, 1300), tolerance = 0.2) + +```r +results[["mean_data_1"]][["jointseg"]] +#> [1] 300 700 ``` -```{r univariate-mean-and-or-variance-change-cpm} -(cpm_result <- cpm::processStream(mv_data_1, cpmType = "GLR")$changePoints) + + + +```r +results[["mean_data_1"]][["Rbeast"]] <- + Rbeast::beast( + mean_data_1, season = "none", print.progress = FALSE, quiet = TRUE + )$trend$cp ``` -```{r univariate-mean-and-or-variance-change-cpm-testthat, include = FALSE} -testthat::expect_equal(cpm_result, c(293, 300, 403, 408, 618, 621, 696, 1000, 1021, 1024, 1293, 1300, 1417, 1693, 1700, 1981), tolerance = 0.2) + +```r +results[["mean_data_1"]][["Rbeast"]] +#> [1] 701 301 NaN NaN NaN NaN NaN NaN NaN NaN ``` -```{r univariate-mean-and-or-variance-change-InspectChangepoint, eval = FALSE} -invisible( - suppressMessages( - capture.output( - result_InspectChangepoint <- InspectChangepoint::inspect( - t(mv_data_1), - threshold = InspectChangepoint::compute.threshold( - nrow(mv_data_1), ncol(mv_data_1) - ) - ) - ) - ) -) -result_InspectChangepoint$changepoints[, "location"] -#> [1] 300 700 701 702 704 707 708 712 715 716 717 718 721 722 -#> [15] 723 726 727 729 731 732 734 736 740 742 744 746 748 750 -#> [29] 753 755 756 757 759 760 762 764 765 768 769 771 772 774 -#> [43] 776 777 784 785 786 789 791 792 794 797 798 799 801 802 -#> [57] 803 807 809 810 813 815 817 819 826 827 828 829 831 833 -#> [71] 835 836 837 838 840 841 842 843 845 848 849 852 854 860 -#> [85] 862 864 866 868 870 872 875 879 881 884 886 887 888 889 -#> [99] 896 897 898 899 901 903 904 905 906 909 912 913 915 917 -#> [113] 919 921 922 923 927 928 932 934 936 937 940 944 945 947 -#> [127] 948 949 951 956 958 959 961 962 963 964 966 967 968 972 -#> [141] 974 976 978 979 986 988 990 992 995 1000 1300 1700 1702 1703 -#> [155] 1704 1705 1708 1710 1712 1714 1716 1717 1718 1720 1721 1723 1725 1726 -#> [169] 1727 1729 1731 1733 1735 1736 1737 1739 1742 1745 1747 1748 1752 1754 -#> [183] 1756 1758 1759 1760 1766 1768 1770 1771 1773 1775 1778 1782 1784 1785 -#> [197] 1790 1792 1793 1795 1796 1797 1799 1800 1802 1803 1804 1805 1806 1807 -#> [211] 1808 1809 1821 1824 1825 1827 1828 1829 1833 1835 1837 1840 1841 1842 -#> [225] 1848 1849 1851 1852 1854 1855 1857 1859 1860 1862 1863 1865 1867 1868 -#> [239] 1876 1878 1879 1880 1882 1883 1884 1886 1887 1889 1894 1898 1899 1905 -#> [253] 1906 1907 1908 1909 1912 1919 1926 1927 1928 1930 1933 1934 1935 1936 -#> [267] 1938 1940 1944 1947 1950 1952 1954 1955 1956 1960 1962 1963 1965 1966 -#> [281] 1967 1969 1970 1974 1976 1977 1978 1980 1985 1987 1988 1990 1997 1998 -``` - -```{r univariate-mean-and-or-variance-change-Rbeast, eval = FALSE} -Rbeast::beast( - mv_data_1, season = "none", print.progress = FALSE, quiet = TRUE -)$trend$cp -#> [1] 1794 1855 1986 1301 301 703 1981 1769 1860 1834 -``` - -```{r univariate-mean-and-or-variance-change-mcp, eval = FALSE} -plot( - mcp::mcp( - list(y ~ 1, ~ 1, ~ 1, ~ 1, ~ 1, ~ 1), - data = data.frame(y = mv_data_1, x = seq_len(nrow(mv_data_1))), - par_x = "x" - ) -) + + + +```r +results[["mean_data_1"]][["stepR"]] <- + stepR::stepFit(mean_data_1, alpha = 0.5)$rightEnd ``` -![`mcp` plot for univariate mean and/or variance change](comparison-packages-mv_data_1-mcp.svg) -```{r univariate-mean-and-or-variance-change-not} -plot(not::not(mv_data_1, contrast = "pcwsConstMeanVar")) +```r +results[["mean_data_1"]][["stepR"]] +#> [1] 300 700 1000 ``` -# Multivariate mean change -The true change points are 300 and 700. -Some methods are plotted due to the un-retrievable change points. -```{r multivariate-mean-change-fastcpd} -(fastcpd_result <- fastcpd::fastcpd.mean(mean_data_3, r.progress = FALSE)@cp_set) + +```r +results[["mean_data_1"]][["cpm"]] <- + cpm::processStream(mean_data_1, cpmType = "Student")$changePoints ``` -```{r multivariate-mean-change-fastcpd-testthat, include = FALSE} -testthat::expect_equal(fastcpd_result, c(300, 700), tolerance = 0.2) + +```r +results[["mean_data_1"]][["cpm"]] +#> [1] 299 699 ``` -```{r multivariate-mean-change-CptNonPar} -(CptNonPar_result <- CptNonPar::np.mojo(mean_data_3, G = floor(nrow(mean_data_3) / 6))$cpts) + + + +```r +results[["mean_data_1"]][["segmented"]] <- + segmented::stepmented( + as.numeric(mean_data_1), npsi = 2 + )$psi[, "Est."] ``` -```{r multivariate-mean-change-CptNonPar-testthat, include = FALSE} -testthat::expect_equal(CptNonPar_result, c(300, 700), tolerance = 0.2) + +```r +results[["mean_data_1"]][["segmented"]] +#> psi1.index psi2.index +#> 298.1981 699.1524 ``` -```{r multivariate-mean-change-InspectChangepoint, eval = FALSE} -invisible( - suppressMessages( - capture.output( - result_InspectChangepoint <- InspectChangepoint::inspect( - t(mean_data_3), - threshold = InspectChangepoint::compute.threshold( - nrow(mean_data_3), ncol(mean_data_3) - ) - ) - ) - ) + + + +```r +results[["mean_data_1"]][["mcp"]] <- mcp::mcp( + list(y ~ 1, ~ 1, ~ 1), + data = data.frame(y = mean_data_1, x = seq_len(nrow(mean_data_1))), + par_x = "x" ) -result_InspectChangepoint$changepoints[, "location"] -#> [1] 300 700 ``` -```{r multivariate-mean-change-jointseg} -(jointseg_result <- jointseg::jointSeg(mean_data_3, K = 2)$bestBkp) -``` -```{r multivariate-mean-change-jointseg-testthat, include = FALSE} -testthat::expect_equal(jointseg_result, c(300, 700), tolerance = 0.2) +```r +if (requireNamespace("mcp", quietly = TRUE)) { + plot(results[["mean_data_1"]][["mcp"]]) +} ``` -```{r multivariate-mean-change-Rbeast, eval = FALSE} -invisible( - capture.output( - result_Rbeast <- Rbeast::beast123( - mean_data_3, - metadata = list(whichDimIsTime = 1), - season = "none" - ) - ) -) -result_Rbeast$trend$cp -#> Warning message: -#> In Rbeast::beast123(mean_data_3, metadata = list(whichDimIsTime = 1), : -#> WARNING: If the input data is regular and ordered in time,the times of individual datapoints are determined fully by 'metadata$startTime' and 'metadata$deltaTime'. But startTime and deltaTime are missing and a default value 1 is used for both! -#> [,1] [,2] [,3] -#> [1,] 301 301 701 -#> [2,] 701 701 301 -#> [3,] NaN 225 NaN -#> [4,] NaN 684 NaN -#> [5,] NaN NaN NaN -#> [6,] NaN NaN NaN -#> [7,] NaN NaN NaN -#> [8,] NaN NaN NaN -#> [9,] NaN NaN NaN -#> [10,] NaN NaN NaN +![plot of chunk univariate-mean-change-mcp-result](figure/univariate-mean-change-mcp-result-1.png) + + +```r +results[["mean_data_1"]][["not"]] <- + not::not(mean_data_1, contrast = "pcwsConstMean") ``` -```{r multivariate-mean-change-strucchange, eval = FALSE} -strucchange::breakpoints( - cbind(y.1, y.2, y.3) ~ 1, data = data.frame(y = mean_data_3) -)$breakpoints -#> [1] 300 700 + +```r +if (requireNamespace("not", quietly = TRUE)) { + plot(results[["mean_data_1"]][["not"]]) +} ``` -```{r multivariate-mean-change-ecp, eval = FALSE} -ecp::e.divisive(mean_data_3)$estimates -#> [1] 1 301 701 1001 +![plot of chunk univariate-mean-change-not-result](figure/univariate-mean-change-not-result-1.png) + + +```r +results[["mean_data_1"]][["bcp"]] <- bcp::bcp(mean_data_1) ``` -```{r multivariate-mean-change-bcp, eval = FALSE} -plot(bcp::bcp(mean_data_3)) + +```r +if (requireNamespace("bcp", quietly = TRUE)) { + plot(results[["mean_data_1"]][["bcp"]]) +} ``` -![`bcp` plot for multivariate mean change](comparison-packages-mean_data_3-bcp.svg) +![plot of chunk univariate-mean-change-bcp-result](figure/univariate-mean-change-bcp-result-1.png) -# Multivariate mean and/or variance change +# Univariate mean and/or variance change The true change points are 300, 700, 1000, 1300 and 1700. Some methods are plotted due to the un-retrievable change points. -```{r multivariate-mean-and-or-variance-change-fastcpd} -(fastcpd_result <- fastcpd::fastcpd.mv(mv_data_3, r.progress = FALSE)@cp_set) + +```r +results[["mv_data_1"]][["fastcpd"]] <- + fastcpd::fastcpd.mv(mv_data_1, r.progress = FALSE)@cp_set ``` -```{r multivariate-mean-and-or-variance-change-fastcpd-testthat, include = FALSE} -testthat::expect_equal(fastcpd_result, c(300, 700, 1000, 1300, 1700), tolerance = 0.2) + +```r +results[["mv_data_1"]][["fastcpd"]] +#> [1] 300 700 1001 1300 1700 ``` -```{r multivariate-mean-and-or-variance-change-ecp, eval = FALSE} -ecp::e.divisive(mv_data_3)$estimates -#> [1] 1 301 701 1001 1301 1701 2001 + + + +```r +results[["mv_data_1"]][["ecp"]] <- ecp::e.divisive(mv_data_1)$estimates ``` -```{r multivariate-mean-and-or-variance-change-InspectChangepoint, eval = FALSE} -invisible( - suppressMessages( - capture.output( - result_InspectChangepoint <- InspectChangepoint::inspect( - t(mv_data_3), - threshold = InspectChangepoint::compute.threshold( - nrow(mv_data_3), ncol(mv_data_3) - ) - ) - ) - ) -) -result_InspectChangepoint$changepoints[, "location"] -#> [1] 300 700 701 703 705 707 708 709 711 712 714 715 717 718 -#> [15] 720 721 723 724 726 727 729 731 733 734 736 737 739 740 -#> [29] 742 743 744 746 747 749 750 752 753 754 755 756 758 760 -#> [43] 762 763 765 766 767 769 770 772 773 774 775 777 779 780 -#> [57] 782 784 786 788 790 791 793 795 797 799 801 803 804 806 -#> [71] 808 809 810 811 813 814 816 817 818 820 821 823 825 827 -#> [85] 828 830 831 833 835 836 837 838 840 842 843 845 846 848 -#> [99] 849 850 852 853 854 855 856 858 859 860 862 863 865 866 -#> [113] 868 869 871 872 874 876 877 878 879 881 883 885 887 888 -#> [127] 889 891 893 894 895 897 898 900 901 903 904 906 908 909 -#> [141] 911 913 914 916 917 918 920 921 923 924 925 927 928 929 -#> [155] 931 932 934 936 937 938 939 941 942 943 945 946 947 949 -#> [169] 950 952 954 955 956 957 958 959 961 962 964 965 967 968 -#> [183] 970 972 973 974 975 977 979 981 982 984 985 986 987 988 -#> [197] 990 991 992 994 995 997 999 1000 1300 1700 1702 1703 1704 1705 -#> [211] 1706 1708 1709 1710 1712 1713 1714 1715 1717 1719 1721 1722 1723 1725 -#> [225] 1727 1729 1730 1732 1734 1735 1737 1738 1739 1741 1742 1744 1746 1748 -#> [239] 1750 1752 1753 1754 1755 1757 1758 1759 1761 1762 1763 1764 1766 1767 -#> [253] 1769 1770 1771 1773 1774 1775 1777 1779 1781 1782 1783 1785 1786 1788 -#> [267] 1789 1791 1793 1794 1796 1798 1800 1803 1804 1805 1806 1808 1809 1811 -#> [281] 1812 1814 1815 1817 1818 1819 1821 1822 1824 1825 1827 1828 1829 1831 -#> [295] 1833 1835 1836 1838 1839 1841 1843 1844 1846 1847 1848 1850 1851 1853 -#> [309] 1854 1856 1857 1858 1859 1860 1862 1863 1864 1865 1867 1869 1870 1872 -#> [323] 1873 1874 1876 1878 1879 1881 1882 1884 1885 1887 1889 1891 1893 1894 -#> [337] 1896 1898 1899 1900 1901 1902 1904 1906 1907 1909 1911 1913 1914 1916 -#> [351] 1917 1918 1919 1921 1923 1924 1925 1927 1928 1930 1932 1933 1935 1936 -#> [365] 1938 1939 1941 1942 1944 1946 1948 1950 1951 1952 1954 1956 1957 1959 -#> [379] 1961 1963 1965 1967 1968 1970 1972 1973 1974 1976 1977 1979 1981 1982 -#> [393] 1984 1985 1987 1989 1990 1992 1993 1995 1996 1998 -``` - -```{r multivariate-mean-and-or-variance-change-Rbeast, eval = FALSE} -invisible( - capture.output( - result_Rbeast <- Rbeast::beast123( - mv_data_3, - metadata = list(whichDimIsTime = 1), - season = "none" - ) - ) -) -result_Rbeast$trend$cp -#> Warning message: -#> In Rbeast::beast123(mv_data_3, metadata = list(whichDimIsTime = 1), : -#> WARNING: If the input data is regular and ordered in time,the times of individual datapoints are determined fully by 'metadata$startTime' and 'metadata$deltaTime'. But startTime and deltaTime are missing and a default value 1 is used for both! -#> [,1] [,2] [,3] [,4] -#> [1,] 701 301 301 710 -#> [2,] 1301 1301 1301 301 -#> [3,] 301 701 702 1301 -#> [4,] 814 1993 1829 1986 -#> [5,] 1968 767 1822 785 -#> [6,] 1994 781 810 774 -#> [7,] 761 884 845 1912 -#> [8,] 1873 755 798 792 -#> [9,] 1865 747 771 879 -#> [10,] 1962 924 1700 1919 + +```r +results[["mv_data_1"]][["ecp"]] +#> [1] 1 301 701 1001 1301 1701 2001 ``` -# Linear regression -The true change points are 100 and 200. -```{r linear-regression-fastcpd} -(fastcpd_result <- fastcpd::fastcpd.lm(lm_data, r.progress = FALSE)@cp_set) -``` -```{r linear-regression-fastcpd-testthat, include = FALSE} -testthat::expect_equal(fastcpd_result, c(97, 201), tolerance = 0.2) +```r +results[["mv_data_1"]][["changepoint"]] <- + changepoint::cpt.meanvar(c(mv_data_1))@cpts ``` -```{r linear-regression-strucchange, eval = FALSE} -strucchange::breakpoints(y ~ . - 1, data = lm_data)$breakpoints -#> [1] 100 201 + +```r +results[["mv_data_1"]][["changepoint"]] +#> [1] 300 2000 ``` -```{r linear-regression-segmented} -(segmented_result <- segmented::segmented( - lm( - y ~ . - 1, - data.frame(y = lm_data$y, x = lm_data[, -1], index = seq_len(nrow(lm_data))) - ), - seg.Z = ~ index -)$psi[, "Est."]) + + + +```r +results[["mv_data_1"]][["CptNonPar"]] <- + CptNonPar::np.mojo(mv_data_1, G = floor(length(mv_data_1) / 6))$cpts ``` -```{r linear-regression-segmented-testthat, include = FALSE} -testthat::expect_equivalent(segmented_result, c(233), tolerance = 0.2) + +```r +results[["mv_data_1"]][["CptNonPar"]] +#> [1] 333 700 1300 ``` -# Logistic regression -The true change point is 300. -```{r logistic-regression-fastcpd} -(fastcpd_result <- fastcpd::fastcpd.binomial(binomial_data, r.progress = FALSE)@cp_set) -``` -```{r logistic-regression-fastcpd-testthat, include = FALSE} -testthat::expect_equal(fastcpd_result, 302, tolerance = 0.2) +```r +results[["mv_data_1"]][["cpm"]] <- + cpm::processStream(mv_data_1, cpmType = "GLR")$changePoints ``` -```{r logistic-regression-strucchange, eval = FALSE} -strucchange::breakpoints(y ~ . - 1, data = binomial_data)$breakpoints -#> [1] 297 + +```r +results[["mv_data_1"]][["cpm"]] +#> [1] 293 300 403 408 618 621 696 1000 1021 1024 1293 1300 1417 1693 1700 +#> [16] 1981 ``` -# Poisson regression -The true change points are 500, 800 and 1000. -```{r poisson-regression-fastcpd} -(fastcpd_result <- fastcpd::fastcpd.poisson(poisson_data, r.progress = FALSE)@cp_set) -``` -```{r poisson-regression-fastcpd-testthat, include = FALSE} -testthat::expect_equal(fastcpd_result, c(498, 805, 1003), tolerance = 0.2) +```r +results[["mv_data_1"]][["InspectChangepoint"]] <- InspectChangepoint::inspect( + t(mv_data_1), + threshold = InspectChangepoint::compute.threshold( + nrow(mv_data_1), ncol(mv_data_1) + ) +)$changepoints[, "location"] ``` -```{r poisson-regression-strucchange, eval = FALSE} -strucchange::breakpoints(y ~ . - 1, data = poisson_data)$breakpoints -#> [1] 935 + +```r +results[["mv_data_1"]][["InspectChangepoint"]] +#> [1] 300 700 701 702 704 707 708 712 715 716 717 718 721 722 723 +#> [16] 726 727 729 731 732 734 736 740 742 744 746 748 750 753 755 +#> [31] 756 757 759 760 762 764 765 766 768 769 771 772 774 776 777 +#> [46] 784 785 786 789 791 792 794 797 798 799 801 802 803 807 809 +#> [61] 810 813 815 817 819 826 827 828 829 831 833 835 836 837 838 +#> [76] 840 841 842 843 845 848 849 852 854 860 862 864 866 868 870 +#> [91] 872 875 879 881 884 886 887 888 889 896 897 898 899 901 903 +#> [106] 904 905 906 909 910 912 913 915 917 919 921 922 923 925 927 +#> [121] 928 932 934 936 937 940 944 945 947 948 949 951 956 958 959 +#> [136] 961 962 963 964 966 967 968 972 974 976 978 979 986 988 990 +#> [151] 992 995 998 1000 1300 1700 1702 1703 1704 1705 1708 1710 1712 1714 1716 +#> [166] 1717 1718 1720 1721 1723 1725 1726 1727 1729 1731 1733 1735 1736 1737 1739 +#> [181] 1742 1745 1747 1748 1752 1754 1756 1758 1759 1760 1766 1768 1770 1771 1773 +#> [196] 1775 1778 1782 1784 1785 1790 1792 1793 1795 1796 1797 1799 1800 1802 1803 +#> [211] 1804 1805 1806 1807 1808 1809 1813 1815 1816 1818 1821 1824 1825 1827 1828 +#> [226] 1829 1833 1835 1837 1840 1841 1842 1848 1849 1851 1852 1854 1855 1857 1859 +#> [241] 1860 1862 1863 1865 1867 1868 1876 1878 1879 1880 1882 1883 1884 1886 1887 +#> [256] 1889 1894 1898 1899 1905 1906 1907 1908 1909 1912 1919 1920 1921 1923 1924 +#> [271] 1926 1927 1928 1930 1933 1934 1935 1936 1938 1940 1941 1944 1947 1950 1952 +#> [286] 1954 1955 1956 1960 1962 1963 1965 1966 1967 1969 1970 1974 1976 1977 1978 +#> [301] 1980 1985 1987 1988 1990 1996 1997 1998 ``` -# Lasso -The true change points are 80, 200 and 320. -```{r lasso-fastcpd} -(fastcpd_result <- fastcpd::fastcpd.lasso(lasso_data, r.progress = FALSE)@cp_set) -``` -```{r lasso-fastcpd-testthat, include = FALSE} -testthat::expect_true(sum(fastcpd_result - c(79, 199, 320)) <= 1) +```r +results[["mv_data_1"]][["Rbeast"]] <- + Rbeast::beast( + mv_data_1, season = "none", print.progress = FALSE, quiet = TRUE + )$trend$cp ``` -```{r lasso-strucchange, eval = FALSE} -strucchange::breakpoints(y ~ . - 1, data = lasso_data)$breakpoints, -#> [1] 80 200 321 + +```r +results[["mv_data_1"]][["Rbeast"]] +#> [1] 1855 1794 1301 1986 301 703 1981 1769 1860 709 ``` -# AR(3) -The true change point is 600. -Some methods are plotted due to the un-retrievable change points. -```{r ar3-fastcpd} -(fastcpd_result <- fastcpd::fastcpd.ar(ar_data, 3, r.progress = FALSE)@cp_set) + +```r +results[["mv_data_1"]][["mcp"]] <- mcp::mcp( + list(y ~ 1, ~ 1, ~ 1, ~ 1, ~ 1, ~ 1), + data = data.frame(y = mv_data_1, x = seq_len(nrow(mv_data_1))), + par_x = "x" +) ``` -```{r ar3-fastcpd-testthat, include = FALSE} -testthat::expect_equal(fastcpd_result, c(614), tolerance = 0.2) + +```r +if (requireNamespace("mcp", quietly = TRUE)) { + plot(results[["mv_data_1"]][["mcp"]]) +} ``` -```{r ar3-CptNonPar} -(CptNonPar_result <- CptNonPar::np.mojo(ar_data, G = floor(length(ar_data) / 6))$cpts) +![plot of chunk univariate-mean-and-or-variance-change-mcp-result](figure/univariate-mean-and-or-variance-change-mcp-result-1.png) + + +```r +results[["mv_data_1"]][["not"]] <- + not::not(mv_data_1, contrast = "pcwsConstMeanVar") ``` -```{r ar3-CptNonPar-testthat, include = FALSE} -testthat::expect_equal(CptNonPar_result, numeric(0), tolerance = 0.2) + +```r +if (requireNamespace("not", quietly = TRUE)) { + plot(results[["mv_data_1"]][["not"]]) +} ``` -```{r ar3-segmented} -(segmented_result <- segmented::segmented( - lm( - y ~ x + 1, data.frame(y = ar_data, x = seq_along(ar_data)) - ), - seg.Z = ~ x -)$psi[, "Est."]) +![plot of chunk univariate-mean-and-or-variance-change-not-result](figure/univariate-mean-and-or-variance-change-not-result-1.png) + ``` +#> Press [enter] to continue +``` + +![plot of chunk univariate-mean-and-or-variance-change-not-result](figure/univariate-mean-and-or-variance-change-not-result-2.png) + +# Multivariate mean change + +The true change points are 300 and 700. +Some methods are plotted due to the un-retrievable change points. + -```{r ar3-segmented-testthat, include = FALSE} -testthat::expect_equivalent(segmented_result, c(690), tolerance = 0.2) +```r +results[["mean_data_3"]][["fastcpd"]] <- + fastcpd::fastcpd.mean(mean_data_3, r.progress = FALSE)@cp_set ``` -```{r ar3-mcp, eval = FALSE} -plot( - mcp::mcp( - list(y ~ 1 + ar(3), ~ 0 + ar(3)), - data = data.frame(y = ar_data, x = seq_along(ar_data)), - par_x = "x" - ) -) + +```r +results[["mean_data_3"]][["fastcpd"]] +#> [1] 300 700 ``` -![`mcp` plot for AR(3)](comparison-packages-ar_data-mcp.svg) -# GARCH(1, 1) -The true change point is 200. -```{r garch11-fastcpd} -(fastcpd_result <- fastcpd::fastcpd.garch(garch_data, c(1, 1), r.progress = FALSE)@cp_set) +```r +results[["mean_data_3"]][["CptNonPar"]] <- + CptNonPar::np.mojo(mean_data_3, G = floor(nrow(mean_data_3) / 6))$cpts ``` -```{r garch11-fastcpd-testthat, include = FALSE} -testthat::expect_equal(fastcpd_result, c(205), tolerance = 0.2) -``` -```{r garch11-CptNonPar} -(CptNonPar_result <- CptNonPar::np.mojo(garch_data, G = floor(length(garch_data) / 6))$cpts) +```r +results[["mean_data_3"]][["CptNonPar"]] +#> [1] 300 700 ``` -```{r garch11-CptNonPar-testthat, include = FALSE} -testthat::expect_equal(CptNonPar_result, c(206), tolerance = 0.2) + + + +```r +results[["mean_data_3"]][["InspectChangepoint"]] <- InspectChangepoint::inspect( + t(mean_data_3), + threshold = InspectChangepoint::compute.threshold( + nrow(mean_data_3), ncol(mean_data_3) + ) +)$changepoints[, "location"] ``` -```{r garch11-strucchange, eval = FALSE} -strucchange::breakpoints(x ~ 1, data = data.frame(x = garch_data))$breakpoints -#> [1] NA + +```r +results[["mean_data_3"]][["InspectChangepoint"]] +#> [1] 300 700 ``` -# VAR(2) -The true change points is 500. -```{r var2-fastcpd} -(fastcpd_result <- fastcpd::fastcpd.var( - var_data, 2, cost_adjustment = NULL, r.progress = FALSE -)@cp_set) + +```r +results[["mean_data_3"]][["jointseg"]] <- + jointseg::jointSeg(mean_data_3, K = 2)$bestBkp ``` -```{r var2-fastcpd-testthat, include = FALSE} -testthat::expect_equal(fastcpd_result, c(500), tolerance = 0.2) + +```r +results[["mean_data_3"]][["jointseg"]] +#> [1] 300 700 ``` -```{r var2-VARDetect} -(VARDetect_result <- VARDetect::tbss(var_data)$cp) + + + +```r +results[["mean_data_3"]][["Rbeast"]] <- + Rbeast::beast123( + mean_data_3, + metadata = list(whichDimIsTime = 1), + season = "none" + )$trend$cp ``` -```{r var2-VARDetect-testthat, include = FALSE} -testthat::expect_equal(VARDetect_result, c(501), tolerance = 0.2) + +```r +results[["mean_data_3"]][["Rbeast"]] +#> [,1] [,2] [,3] +#> [1,] 301 701 301 +#> [2,] 701 301 701 +#> [3,] 142 117 926 +#> [4,] 305 NaN NaN +#> [5,] 705 NaN NaN +#> [6,] 694 NaN NaN +#> [7,] NaN NaN NaN +#> [8,] NaN NaN NaN +#> [9,] NaN NaN NaN +#> [10,] NaN NaN NaN ``` -# Detection comparison using `well_log` -```{r detection-comparison-well-log, eval = FALSE} -well_log <- well_log[well_log > 1e5] -result <- list( - fastcpd = fastcpd.mean(well_log, trim = 0.003)@cp_set, - changepoint = changepoint::cpt.mean(well_log)@cpts, - CptNonPar = - CptNonPar::np.mojo(well_log, G = floor(length(well_log) / 6))$cpts, - strucchange = strucchange::breakpoints( + +```r +results[["mean_data_3"]][["strucchange"]] <- + strucchange::breakpoints( + cbind(y.1, y.2, y.3) ~ 1, data = data.frame(y = mean_data_3) + )$breakpoints +``` + + +```r +results[["mean_data_3"]][["strucchange"]] +#> [1] 300 700 +``` + + + + +```r +results[["mean_data_3"]][["ecp"]] <- ecp::e.divisive(mean_data_3)$estimates +``` + + +```r +results[["mean_data_3"]][["ecp"]] +#> [1] 1 301 701 1001 +``` + + + + +```r +results[["mean_data_3"]][["bcp"]] <- bcp::bcp(mean_data_3) +``` + + +```r +if (requireNamespace("bcp", quietly = TRUE)) { + plot(results[["mean_data_3"]][["bcp"]]) +} +``` + +![plot of chunk multivariate-mean-change-bcp-result](figure/multivariate-mean-change-bcp-result-1.png) + +# Multivariate mean and/or variance change + +The true change points are 300, 700, 1000, 1300 and 1700. +Some methods are plotted due to the un-retrievable change points. + + +```r +results[["mv_data_3"]][["fastcpd"]] <- + fastcpd::fastcpd.mv(mv_data_3, r.progress = FALSE)@cp_set +``` + + +```r +results[["mv_data_3"]][["fastcpd"]] +#> [1] 300 700 1000 1300 1700 +``` + + + + +```r +results[["mv_data_3"]][["ecp"]] <- ecp::e.divisive(mv_data_3)$estimates +``` + + +```r +results[["mv_data_3"]][["ecp"]] +#> [1] 1 301 701 1001 1301 1701 2001 +``` + + + + +```r +results[["mv_data_3"]][["InspectChangepoint"]] <- InspectChangepoint::inspect( + t(mv_data_3), + threshold = InspectChangepoint::compute.threshold( + nrow(mv_data_3), ncol(mv_data_3) + ) +)$changepoints[, "location"] +``` + + +```r +results[["mv_data_3"]][["InspectChangepoint"]] +#> [1] 300 700 701 703 705 707 708 709 711 712 714 715 717 718 720 +#> [16] 721 723 724 726 727 729 731 733 734 736 737 739 740 742 743 +#> [31] 744 746 747 749 750 752 753 754 755 756 758 760 762 763 765 +#> [46] 766 767 769 770 772 773 774 775 777 779 780 782 784 786 788 +#> [61] 790 791 793 795 797 799 801 803 804 806 809 810 811 813 814 +#> [76] 816 817 818 820 821 823 825 827 828 830 831 833 835 836 837 +#> [91] 838 840 842 843 845 846 848 849 850 852 853 854 855 856 858 +#> [106] 859 860 862 863 865 866 868 869 871 872 874 876 877 878 879 +#> [121] 881 883 885 887 888 889 891 893 894 895 897 898 900 901 903 +#> [136] 904 906 908 909 911 913 914 916 917 918 920 921 923 924 925 +#> [151] 927 928 929 931 932 934 936 937 938 939 941 942 943 945 946 +#> [166] 947 949 950 952 954 955 956 957 958 959 961 962 964 965 967 +#> [181] 968 970 972 973 974 975 977 979 981 982 984 985 986 987 988 +#> [196] 990 991 992 994 995 997 999 1000 1300 1700 1702 1703 1704 1705 1706 +#> [211] 1708 1709 1710 1712 1713 1714 1715 1717 1719 1721 1722 1723 1725 1727 1729 +#> [226] 1730 1732 1734 1735 1737 1738 1739 1741 1742 1744 1746 1748 1750 1752 1753 +#> [241] 1754 1755 1757 1758 1759 1761 1762 1763 1764 1766 1767 1769 1770 1771 1773 +#> [256] 1774 1775 1777 1779 1781 1782 1783 1785 1786 1788 1789 1791 1793 1794 1796 +#> [271] 1798 1800 1803 1804 1805 1806 1808 1809 1811 1812 1814 1815 1817 1818 1819 +#> [286] 1821 1822 1824 1825 1827 1828 1829 1831 1833 1835 1836 1838 1839 1841 1843 +#> [301] 1844 1846 1847 1848 1850 1851 1853 1854 1856 1857 1858 1859 1860 1862 1863 +#> [316] 1864 1865 1867 1869 1870 1872 1873 1874 1876 1878 1879 1881 1882 1884 1885 +#> [331] 1887 1889 1891 1893 1894 1896 1898 1899 1900 1901 1902 1904 1906 1907 1909 +#> [346] 1911 1913 1914 1916 1917 1918 1919 1921 1923 1924 1925 1927 1928 1930 1932 +#> [361] 1933 1935 1936 1938 1939 1941 1942 1944 1946 1948 1950 1951 1952 1954 1956 +#> [376] 1957 1959 1961 1963 1965 1967 1968 1970 1972 1973 1974 1976 1977 1979 1981 +#> [391] 1982 1984 1985 1987 1989 1990 1992 1993 1995 1996 1998 +``` + + + + +```r +results[["mv_data_3"]][["Rbeast"]] <- + Rbeast::beast123( + mv_data_3, + metadata = list(whichDimIsTime = 1), + season = "none" + )$trend$cp +``` + + +```r +results[["mv_data_3"]][["Rbeast"]] +#> [,1] [,2] [,3] [,4] +#> [1,] 701 1301 301 1301 +#> [2,] 1301 301 1301 710 +#> [3,] 301 701 1829 301 +#> [4,] 1968 1993 702 886 +#> [5,] 1994 884 1822 1975 +#> [6,] 814 755 810 1915 +#> [7,] 1962 781 845 778 +#> [8,] 1978 767 1738 1985 +#> [9,] 1870 747 1754 792 +#> [10,] 1843 722 771 953 +``` + + + +# Linear regression + +The true change points are 100 and 200. + + +```r +results[["lm_data"]][["fastcpd"]] <- + fastcpd::fastcpd.lm(lm_data, r.progress = FALSE)@cp_set +``` + + +```r +results[["lm_data"]][["fastcpd"]] +#> [1] 97 201 +``` + + + + +```r +results[["lm_data"]][["strucchange"]] <- + strucchange::breakpoints(y ~ . - 1, data = lm_data)$breakpoints +``` + + +```r +results[["lm_data"]][["strucchange"]] +#> [1] 100 201 +``` + + + + +```r +results[["lm_data"]][["segmented"]] <- + segmented::segmented( + lm( + y ~ . - 1, data.frame(y = lm_data$y, x = lm_data[, -1], index = seq_len(nrow(lm_data))) + ), + seg.Z = ~ index + )$psi[, "Est."] +``` + + +```r +results[["lm_data"]][["segmented"]] +#> [1] 233 +``` + + + +# Logistic regression + +The true change point is 300. + + +```r +results[["binomial_data"]][["fastcpd"]] <- + fastcpd::fastcpd.binomial(binomial_data, r.progress = FALSE)@cp_set +``` + + +```r +results[["binomial_data"]][["fastcpd"]] +#> [1] 302 +``` + + + + +```r +results[["binomial_data"]][["strucchange"]] <- + strucchange::breakpoints(y ~ . - 1, data = binomial_data)$breakpoints +``` + + +```r +results[["binomial_data"]][["strucchange"]] +#> [1] 297 +``` + + + +# Poisson regression + +The true change points are 500, 800 and 1000. + + +```r +results[["poisson_data"]][["fastcpd"]] <- + fastcpd::fastcpd.poisson(poisson_data, r.progress = FALSE)@cp_set +``` + + +```r +results[["poisson_data"]][["fastcpd"]] +#> [1] 498 805 1003 +``` + + + + +```r +results[["poisson_data"]][["strucchange"]] <- + strucchange::breakpoints(y ~ . - 1, data = poisson_data)$breakpoints +``` + + +```r +results[["poisson_data"]][["strucchange"]] +#> [1] 935 +``` + + + +# Lasso + +The true change points are 80, 200 and 320. + + +```r +results[["lasso_data"]][["fastcpd"]] <- + fastcpd::fastcpd.lasso(lasso_data, r.progress = FALSE)@cp_set +``` + + +```r +results[["lasso_data"]][["fastcpd"]] +#> [1] 79 199 321 +``` + + + + +```r +results[["lasso_data"]][["strucchange"]] <- + strucchange::breakpoints(y ~ . - 1, data = lasso_data)$breakpoints +``` + + +```r +results[["lasso_data"]][["strucchange"]] +#> [1] 80 200 321 +``` + + + +# AR(3) + +The true change point is 600. +Some methods are plotted due to the un-retrievable change points. + + +```r +results[["ar_data"]][["fastcpd"]] <- + fastcpd::fastcpd.ar(ar_data, 3, r.progress = FALSE)@cp_set +``` + + +```r +results[["ar_data"]][["fastcpd"]] +#> [1] 614 +``` + + + + +```r +results[["ar_data"]][["CptNonPar"]] <- + CptNonPar::np.mojo(ar_data, G = floor(length(ar_data) / 6))$cpts +``` + + +```r +results[["ar_data"]][["CptNonPar"]] +#> numeric(0) +``` + + + + +```r +results[["ar_data"]][["segmented"]] <- + segmented::segmented( + lm( + y ~ x + 1, data.frame(y = ar_data, x = seq_along(ar_data)) + ), + seg.Z = ~ x + )$psi[, "Est."] +``` + + +```r +results[["ar_data"]][["segmented"]] +#> [1] 690 +``` + + + + +```r +results[["ar_data"]][["mcp"]] <- + mcp::mcp( + list(y ~ 1 + ar(3), ~ 0 + ar(3)), + data = data.frame(y = ar_data, x = seq_along(ar_data)), + par_x = "x" + ) +``` + + +```r +if (requireNamespace("mcp", quietly = TRUE)) { + plot(results[["ar_data"]][["mcp"]]) +} +``` + +![plot of chunk ar3-mcp-result](figure/ar3-mcp-result-1.png) + +# GARCH(1, 1) + +The true change point is 200. + + +```r +results[["garch_data"]][["fastcpd"]] <- + fastcpd::fastcpd.garch(garch_data, c(1, 1), r.progress = FALSE)@cp_set +``` + + +```r +results[["garch_data"]][["fastcpd"]] +#> [1] 205 +``` + + + + +```r +results[["garch_data"]][["CptNonPar"]] <- + CptNonPar::np.mojo(garch_data, G = floor(length(garch_data) / 6))$cpts +``` + + +```r +results[["garch_data"]][["CptNonPar"]] +#> [1] 206 +``` + + + + +```r +results[["garch_data"]][["strucchange"]] <- + strucchange::breakpoints(x ~ 1, data = data.frame(x = garch_data))$breakpoints +``` + + +```r +results[["garch_data"]][["strucchange"]] +#> [1] NA +``` + + + +# VAR(2) + +The true change points is 500. + + +```r +results[["var_data"]][["fastcpd"]] <- + fastcpd::fastcpd.var(var_data, 2, r.progress = FALSE)@cp_set +``` + + +```r +results[["var_data"]][["fastcpd"]] +#> [1] 500 +``` + + + + +```r +results[["var_data"]][["VARDetect"]] <- VARDetect::tbss(var_data)$cp +``` + + +```r +results[["var_data"]][["VARDetect"]] +#> [1] 501 +``` + + + +# Detection comparison using `well_log` + + +```r +well_log <- fastcpd::well_log +``` + + +```r +well_log <- well_log[well_log > 1e5] + +results[["well_log"]] <- list( + fastcpd = fastcpd.mean(well_log, trim = 0.003)@cp_set, + changepoint = changepoint::cpt.mean(well_log)@cpts, + CptNonPar = + CptNonPar::np.mojo(well_log, G = floor(length(well_log) / 6))$cpts, + strucchange = strucchange::breakpoints( + y ~ 1, data = data.frame(y = well_log) + )$breakpoints, + ecp = ecp::e.divisive(matrix(well_log))$estimates, + breakfast = breakfast::breakfast(well_log)$cptmodel.list[[6]]$cpts, + wbs = wbs::wbs(well_log)$cpt$cpt.ic$mbic.penalty, + mosum = mosum::mosum(c(well_log), G = 40)$cpts.info$cpts, + # fpop = fpop::Fpop(well_log, length(well_log))$t.est, # meaningless + gfpop = gfpop::gfpop( + data = well_log, + mygraph = gfpop::graph( + penalty = 2 * log(length(well_log)) * gfpop::sdDiff(well_log) ^ 2, + type = "updown" + ), + type = "mean" + )$changepoints, + InspectChangepoint = InspectChangepoint::inspect( + well_log, + threshold = InspectChangepoint::compute.threshold(length(well_log), 1) + )$changepoints[, "location"], + jointseg = jointseg::jointSeg(well_log, K = 12)$bestBkp, + Rbeast = Rbeast::beast( + well_log, season = "none", print.progress = FALSE, quiet = TRUE + )$trend$cp, + stepR = stepR::stepFit(well_log, alpha = 0.5)$rightEnd +) +``` + + +```r +results[["well_log"]] +#> $fastcpd +#> [1] 12 572 704 776 1021 1057 1198 1347 1406 1502 1660 1842 2023 2202 2384 +#> [16] 2445 2507 2567 2749 2926 3094 3107 3509 3622 3709 3820 3976 +#> +#> $changepoint +#> [1] 2738 3989 +#> +#> $CptNonPar +#> [1] 1021 1681 2022 2738 +#> +#> $strucchange +#> [1] 1057 1660 2568 3283 +#> +#> $ecp +#> [1] 1 33 315 435 567 705 803 1026 1058 1348 1503 1662 1843 2024 2203 +#> [16] 2386 2446 2508 2569 2745 2780 2922 3073 3136 3252 3465 3500 3554 3623 3710 +#> [31] 3821 3868 3990 +#> +#> $breakfast +#> [1] 33 310 434 572 704 779 1021 1057 1347 1502 1659 1842 2021 2032 2202 +#> [16] 2384 2446 2507 2567 2747 2779 2926 3094 3106 3125 3283 3464 3499 3622 3709 +#> [31] 3806 3835 3848 3877 3896 3976 +#> +#> $wbs +#> [1] 2568 1057 1661 1842 2385 2023 2445 1502 2744 6 2507 1021 3709 3820 1402 +#> [16] 434 1408 3131 3976 3509 3622 776 1197 3094 704 3104 1347 314 2921 3251 +#> [31] 3464 3848 3906 2779 1663 3636 60 3904 2202 566 12 3639 1200 7 1671 +#> [46] 706 +#> +#> $mosum +#> [1] 6 434 704 1017 1057 1325 1502 1661 1842 2023 2385 2445 2507 2567 2744 +#> [16] 3060 3438 3509 3610 3697 3820 3867 3976 +#> +#> $gfpop +#> [1] 6 7 8 12 314 434 556 560 704 776 1021 1057 1197 1200 1347 +#> [16] 1364 1405 1407 1491 1502 1661 1842 2023 2385 2445 2507 2567 2664 2747 2752 +#> [31] 2921 3094 3104 3125 3251 3464 3499 3622 3709 3820 3976 3989 +#> +#> $InspectChangepoint +#> [1] 6 8 15 71 314 434 521 704 706 776 830 1021 1057 1059 1347 +#> [16] 1402 1405 1408 1412 1502 1520 1659 1661 1663 1694 1842 1848 2022 2202 2384 +#> [31] 2387 2445 2507 2567 2568 2673 2738 2746 2752 2779 2921 3131 3251 3464 3509 +#> [46] 3609 3658 3709 3806 3976 +#> +#> $jointseg +#> [1] 6 1021 1057 1502 1661 1842 2022 2384 2445 2507 2568 2738 +#> +#> $Rbeast +#> [1] 1058 1662 7 1022 2447 2386 2023 1503 2745 3710 +#> +#> $stepR +#> [1] 7 14 314 434 566 704 776 1021 1057 1197 1200 1347 1405 1407 1502 +#> [16] 1661 1694 1842 2023 2202 2385 2445 2507 2567 2747 2752 2921 3094 3104 3125 +#> [31] 3251 3464 3499 3609 3658 3709 3820 3867 3905 3976 3989 +``` + + +```r +package_list <- sort(names(results[["well_log"]]), decreasing = TRUE) +comparison_table <- NULL +for (package_index in seq_along(package_list)) { + package <- package_list[[package_index]] + comparison_table <- rbind( + comparison_table, + data.frame( + change_point = results[["well_log"]][[package]], + package = package, + y_offset = (package_index - 1) * 1000 + ) + ) +} + +most_selected <- sort(table(comparison_table$change_point), decreasing = TRUE) +most_selected <- sort(as.numeric(names(most_selected[most_selected >= 4]))) +for (i in seq_len(length(most_selected) - 1)) { + if (most_selected[i + 1] - most_selected[i] < 2) { + most_selected[i] <- NA + most_selected[i + 1] <- most_selected[i + 1] - 0.5 + } +} +(most_selected <- most_selected[!is.na(most_selected)]) +#> [1] 6.5 314.0 434.0 704.0 776.0 1021.0 1057.0 1347.0 1502.0 1661.0 +#> [11] 1842.0 2023.0 2202.0 2384.5 2445.0 2507.0 2567.5 2738.0 2921.0 3094.0 +#> [21] 3251.0 3464.0 3509.0 3622.0 3709.0 3820.0 3976.0 +``` + + +```r +if (requireNamespace("ggplot2", quietly = TRUE)) { + ggplot2::ggplot() + + ggplot2::geom_point( + data = data.frame(x = seq_along(well_log), y = c(well_log)), + ggplot2::aes(x = x, y = y) + ) + + ggplot2::geom_vline( + xintercept = most_selected, + color = "black", + linetype = "dashed", + alpha = 0.2 + ) + + ggplot2::geom_point( + data = comparison_table, + ggplot2::aes(x = change_point, y = 50000 + y_offset, color = package), + shape = 17, + size = 1.9 + ) + + ggplot2::geom_hline( + data = comparison_table, + ggplot2::aes(yintercept = 50000 + y_offset, color = package), + linetype = "dashed", + alpha = 0.1 + ) + + ggplot2::coord_cartesian( + ylim = c(50000 - 500, max(well_log) + 1000), + xlim = c(-200, length(well_log) + 200), + expand = FALSE + ) + + ggplot2::theme( + panel.background = ggplot2::element_blank(), + panel.border = ggplot2::element_rect(colour = "black", fill = NA), + panel.grid.major = ggplot2::element_blank(), + panel.grid.minor = ggplot2::element_blank() + ) + + ggplot2::xlab(NULL) + ggplot2::ylab(NULL) +} +``` + +![plot of chunk detection-comparison-well-log-plot](figure/detection-comparison-well-log-plot-1.png) + +# Time comparison using `well_log` + + +```r +results[["microbenchmark"]] <- microbenchmark::microbenchmark( + fastcpd = fastcpd::fastcpd.mean(well_log, trim = 0.003, r.progress = FALSE), + changepoint = changepoint::cpt.mean(well_log, method = "PELT"), + CptNonPar = CptNonPar::np.mojo(well_log, G = floor(length(well_log) / 6)), + strucchange = + strucchange::breakpoints(y ~ 1, data = data.frame(y = well_log)), + ecp = ecp::e.divisive(matrix(well_log)), + breakfast = breakfast::breakfast(well_log), + wbs = wbs::wbs(well_log), + mosum = mosum::mosum(c(well_log), G = 40), + fpop = fpop::Fpop(well_log, nrow(well_log)), + gfpop = gfpop::gfpop( + data = well_log, + mygraph = gfpop::graph( + penalty = 2 * log(length(well_log)) * gfpop::sdDiff(well_log) ^ 2, + type = "updown" + ), + type = "mean" + ), + InspectChangepoint = InspectChangepoint::inspect( + well_log, + threshold = InspectChangepoint::compute.threshold(length(well_log), 1) + ), + jointseg = jointseg::jointSeg(well_log, K = 12), + Rbeast = Rbeast::beast( + well_log, season = "none", print.progress = FALSE, quiet = TRUE + ), + stepR = stepR::stepFit(well_log, alpha = 0.5), + not = not::not(well_log, contrast = "pcwsConstMean"), + times = 10 +) +``` + + +```r +results[["microbenchmark"]] +#> Unit: milliseconds +#> expr min lq mean median +#> fastcpd 6.257120e+01 6.696175e+01 7.183964e+01 7.168669e+01 +#> changepoint 3.205076e+01 3.305076e+01 4.025595e+01 3.774400e+01 +#> CptNonPar 1.875995e+04 2.014073e+04 2.244910e+04 2.224506e+04 +#> strucchange 6.359889e+04 6.409690e+04 6.651444e+04 6.565439e+04 +#> ecp 7.505232e+05 7.895889e+05 8.168647e+05 8.170952e+05 +#> breakfast 9.606171e+03 9.819381e+03 1.052611e+04 1.048197e+04 +#> wbs 1.163237e+02 1.180537e+02 1.263443e+02 1.254133e+02 +#> mosum 1.059973e+00 1.147898e+00 2.175931e+00 1.409396e+00 +#> fpop 2.604002e+00 3.676689e+00 4.859312e+00 4.308841e+00 +#> gfpop 6.057383e+01 6.595090e+01 7.277643e+01 7.212125e+01 +#> InspectChangepoint 1.584727e+02 2.171007e+02 2.414921e+02 2.424665e+02 +#> jointseg 2.104403e+01 2.284920e+01 3.577861e+01 2.708083e+01 +#> Rbeast 6.545716e+02 6.913542e+02 7.993305e+02 7.504324e+02 +#> stepR 2.740003e+01 3.020269e+01 3.149624e+01 3.188329e+01 +#> not 9.715867e+01 1.000287e+02 1.101258e+02 1.074475e+02 +#> uq max neval +#> 7.689381e+01 8.332375e+01 10 +#> 4.669485e+01 5.904173e+01 10 +#> 2.380236e+04 2.705807e+04 10 +#> 6.597650e+04 7.757488e+04 10 +#> 8.259550e+05 8.834288e+05 10 +#> 1.103289e+04 1.197235e+04 10 +#> 1.276892e+02 1.455261e+02 10 +#> 1.957312e+00 8.705062e+00 10 +#> 5.107175e+00 1.085365e+01 10 +#> 7.742432e+01 8.794816e+01 10 +#> 3.060519e+02 3.145695e+02 10 +#> 4.362760e+01 9.516090e+01 10 +#> 8.539695e+02 1.163607e+03 10 +#> 3.294534e+01 3.530981e+01 10 +#> 1.147504e+02 1.331989e+02 10 +``` + + +```r +if (requireNamespace("ggplot2", quietly = TRUE) && requireNamespace("microbenchmark", quietly = TRUE)) { + ggplot2::autoplot(results[["microbenchmark"]]) +} +``` + +![plot of chunk time-comparison-well-log-plot](figure/time-comparison-well-log-plot-1.png) + +# Notes + +This document is generated by the following code: + +```shell +R -e 'knitr::knit("vignettes/comparison-packages.Rmd.original", output = "vignettes/comparison-packages.Rmd")' && rm -rf vignettes/figure && mv -f figure vignettes +``` + +# Related issues + +- `mosum`: [[#4](https://github.com/doccstat/fastcpd/issues/4)]. +- `mcp`: [link 1](https://github.com/doccstat/fastcpd/actions/runs/7272426093/job/19814531091) + and [link 2](https://github.com/doccstat/fastcpd/actions/runs/7272426093/job/19814531284). +- `bcp`: [[#5](https://github.com/doccstat/fastcpd/issues/5)]. +- `gfpop`: [[#10](https://github.com/doccstat/fastcpd/issues/10)]. + +# Acknowledgements + +- [Dr. Vito Muggeo](https://www.unipa.it/persone/docenti/m/vito.muggeo), + author of the `segmented` package for the tips about the piece-wise + constant function. + +# Appendix: all code snippets + + + + +```r +knitr::opts_chunk$set( + collapse = TRUE, comment = "#>", eval = TRUE, cache = FALSE, + warning = FALSE, fig.width = 8, fig.height = 5 +) + +if (requireNamespace("microbenchmark", quietly = TRUE)) { + library(microbenchmark) +} + +if (file.exists("comparison-packages-results.RData")) { + # Available at https://pcloud.xingchi.li/comparison-packages-results.RData + load("comparison-packages-results.RData") +} else { + results <- list() +} +# Univariate mean change +set.seed(1) +p <- 1 +mean_data_1 <- rbind( + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(100, p)), + mvtnorm::rmvnorm(400, mean = rep(50, p), sigma = diag(100, p)), + mvtnorm::rmvnorm(300, mean = rep(2, p), sigma = diag(100, p)) +) + +plot.ts(mean_data_1) +# Univariate mean and/or variance change +set.seed(1) +p <- 1 +mv_data_1 <- rbind( + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(400, mean = rep(10, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(100, p)), + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(400, mean = rep(10, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(300, mean = rep(10, p), sigma = diag(100, p)) +) + +plot.ts(mv_data_1) +# Multivariate mean change +set.seed(1) +p <- 3 +mean_data_3 <- rbind( + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(100, p)), + mvtnorm::rmvnorm(400, mean = rep(50, p), sigma = diag(100, p)), + mvtnorm::rmvnorm(300, mean = rep(2, p), sigma = diag(100, p)) +) + +plot.ts(mean_data_3) +# Multivariate mean and/or variance change +set.seed(1) +p <- 4 +mv_data_3 <- rbind( + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(400, mean = rep(10, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(100, p)), + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(400, mean = rep(10, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(300, mean = rep(10, p), sigma = diag(100, p)) +) + +plot.ts(mv_data_3) +# Linear regression +set.seed(1) +n <- 300 +p <- 4 +x <- mvtnorm::rmvnorm(n, rep(0, p), diag(p)) +theta_0 <- rbind(c(1, 3.2, -1, 0), c(-1, -0.5, 2.5, -2), c(0.8, 0, 1, 2)) +y <- c( + x[1:100, ] %*% theta_0[1, ] + rnorm(100, 0, 3), + x[101:200, ] %*% theta_0[2, ] + rnorm(100, 0, 3), + x[201:n, ] %*% theta_0[3, ] + rnorm(100, 0, 3) +) +lm_data <- data.frame(y = y, x = x) + +plot.ts(lm_data) +# Logistic regression +set.seed(1) +n <- 500 +p <- 4 +x <- mvtnorm::rmvnorm(n, rep(0, p), diag(p)) +theta <- rbind(rnorm(p, 0, 1), rnorm(p, 2, 1)) +y <- c( + rbinom(300, 1, 1 / (1 + exp(-x[1:300, ] %*% theta[1, ]))), + rbinom(200, 1, 1 / (1 + exp(-x[301:n, ] %*% theta[2, ]))) +) +binomial_data <- data.frame(y = y, x = x) + +plot.ts(binomial_data) +# Poisson regression +set.seed(1) +n <- 1100 +p <- 3 +x <- mvtnorm::rmvnorm(n, rep(0, p), diag(p)) +delta <- rnorm(p) +theta_0 <- c(1, 0.3, -1) +y <- c( + rpois(500, exp(x[1:500, ] %*% theta_0)), + rpois(300, exp(x[501:800, ] %*% (theta_0 + delta))), + rpois(200, exp(x[801:1000, ] %*% theta_0)), + rpois(100, exp(x[1001:1100, ] %*% (theta_0 - delta))) +) +poisson_data <- data.frame(y = y, x = x) + +plot.ts(log(poisson_data$y)) +plot.ts(poisson_data[, -1]) +# Lasso +set.seed(1) +n <- 480 +p_true <- 6 +p <- 50 +x <- mvtnorm::rmvnorm(n, rep(0, p), diag(p)) +theta_0 <- rbind( + runif(p_true, -5, -2), + runif(p_true, -3, 3), + runif(p_true, 2, 5), + runif(p_true, -5, 5) +) +theta_0 <- cbind(theta_0, matrix(0, ncol = p - p_true, nrow = 4)) +y <- c( + x[1:80, ] %*% theta_0[1, ] + rnorm(80, 0, 1), + x[81:200, ] %*% theta_0[2, ] + rnorm(120, 0, 1), + x[201:320, ] %*% theta_0[3, ] + rnorm(120, 0, 1), + x[321:n, ] %*% theta_0[4, ] + rnorm(160, 0, 1) +) +lasso_data <- data.frame(y = y, x = x) + +plot.ts(lasso_data[, seq_len(p_true + 1)]) +# AR(3) +set.seed(1) +n <- 1000 +x <- rep(0, n + 3) +for (i in 1:600) { + x[i + 3] <- 0.6 * x[i + 2] - 0.2 * x[i + 1] + 0.1 * x[i] + rnorm(1, 0, 3) +} +for (i in 601:1000) { + x[i + 3] <- 0.3 * x[i + 2] + 0.4 * x[i + 1] + 0.2 * x[i] + rnorm(1, 0, 3) +} +ar_data <- x[-seq_len(3)] + +plot.ts(ar_data) +# GARCH(1, 1) +set.seed(1) +n <- 400 +sigma_2 <- rep(1, n + 1) +x <- rep(0, n + 1) +for (i in seq_len(200)) { + sigma_2[i + 1] <- 20 + 0.5 * x[i]^2 + 0.1 * sigma_2[i] + x[i + 1] <- rnorm(1, 0, sqrt(sigma_2[i + 1])) +} +for (i in 201:400) { + sigma_2[i + 1] <- 1 + 0.1 * x[i]^2 + 0.5 * sigma_2[i] + x[i + 1] <- rnorm(1, 0, sqrt(sigma_2[i + 1])) +} +garch_data <- x[-1] + +plot.ts(garch_data) +# VAR(2) +set.seed(1) +n <- 800 +p <- 2 +theta_1 <- matrix(c(-0.3, 0.6, -0.5, 0.4, 0.2, 0.2, 0.2, -0.2), nrow = p) +theta_2 <- matrix(c(0.3, -0.4, 0.1, -0.5, -0.5, -0.2, -0.5, 0.2), nrow = p) +x <- matrix(0, n + 2, p) +for (i in 1:500) { + x[i + 2, ] <- theta_1 %*% c(x[i + 1, ], x[i, ]) + rnorm(p, 0, 1) +} +for (i in 501:n) { + x[i + 2, ] <- theta_2 %*% c(x[i + 1, ], x[i, ]) + rnorm(p, 0, 1) +} +var_data <- x[-seq_len(2), ] + +plot.ts(var_data) +results[["mean_data_1"]][["fastcpd"]] <- + fastcpd::fastcpd.mean(mean_data_1, r.progress = FALSE)@cp_set +results[["mean_data_1"]][["fastcpd"]] +testthat::expect_equal(results[["mean_data_1"]][["fastcpd"]], c(300, 700), tolerance = 0.2) +results[["mean_data_1"]][["CptNonPar"]] <- + CptNonPar::np.mojo(mean_data_1, G = floor(length(mean_data_1) / 6))$cpts +results[["mean_data_1"]][["CptNonPar"]] +testthat::expect_equal(results[["mean_data_1"]][["CptNonPar"]], c(300, 700), tolerance = 0.2) +results[["mean_data_1"]][["strucchange"]] <- + strucchange::breakpoints(y ~ 1, data = data.frame(y = mean_data_1))$breakpoints +results[["mean_data_1"]][["strucchange"]] +testthat::expect_equal(results[["mean_data_1"]][["strucchange"]], c(300, 700), tolerance = 0.2) +results[["mean_data_1"]][["ecp"]] <- ecp::e.divisive(mean_data_1)$estimates +results[["mean_data_1"]][["ecp"]] +testthat::expect_equal(results[["mean_data_1"]][["ecp"]], c(1, 301, 701, 1001), tolerance = 0.2) +results[["mean_data_1"]][["changepoint"]] <- + changepoint::cpt.mean(c(mean_data_1))@cpts +results[["mean_data_1"]][["changepoint"]] +testthat::expect_equal(results[["mean_data_1"]][["changepoint"]], c(300, 1000), tolerance = 0.2) +results[["mean_data_1"]][["breakfast"]] <- + breakfast::breakfast(mean_data_1)$cptmodel.list[[6]]$cpts +results[["mean_data_1"]][["breakfast"]] +testthat::expect_equal(results[["mean_data_1"]][["breakfast"]], c(300, 700), tolerance = 0.2) +results[["mean_data_1"]][["wbs"]] <- + wbs::wbs(mean_data_1)$cpt$cpt.ic$mbic.penalty +results[["mean_data_1"]][["wbs"]] +testthat::expect_equal(results[["mean_data_1"]][["wbs"]], c(300, 700), tolerance = 0.2) +results[["mean_data_1"]][["mosum"]] <- + mosum::mosum(c(mean_data_1), G = 40)$cpts.info$cpts +results[["mean_data_1"]][["mosum"]] +testthat::expect_equal(results[["mean_data_1"]][["mosum"]], c(300, 700), tolerance = 0.2) +results[["mean_data_1"]][["fpop"]] <- + fpop::Fpop(mean_data_1, nrow(mean_data_1))$t.est +results[["mean_data_1"]][["fpop"]] +testthat::expect_equal(results[["mean_data_1"]][["fpop"]], c(300, 700, 1000), tolerance = 0.2) +results[["mean_data_1"]][["gfpop"]] <- + gfpop::gfpop( + data = mean_data_1, + mygraph = gfpop::graph( + penalty = 2 * log(nrow(mean_data_1)) * gfpop::sdDiff(mean_data_1) ^ 2, + type = "updown" + ), + type = "mean" + )$changepoints +results[["mean_data_1"]][["gfpop"]] +testthat::expect_equal(results[["mean_data_1"]][["gfpop"]], c(300, 700, 1000), tolerance = 0.2) +results[["mean_data_1"]][["InspectChangepoint"]] <- InspectChangepoint::inspect( + t(mean_data_1), + threshold = InspectChangepoint::compute.threshold( + nrow(mean_data_1), ncol(mean_data_1) + ) +)$changepoints[, "location"] +results[["mean_data_1"]][["InspectChangepoint"]] +testthat::expect_equal(results[["mean_data_1"]][["InspectChangepoint"]], c(300, 700), tolerance = 0.2) +results[["mean_data_1"]][["jointseg"]] <- + jointseg::jointSeg(mean_data_1, K = 2)$bestBkp +results[["mean_data_1"]][["jointseg"]] +testthat::expect_equal(results[["mean_data_1"]][["jointseg"]], c(300, 700), tolerance = 0.2) +results[["mean_data_1"]][["Rbeast"]] <- + Rbeast::beast( + mean_data_1, season = "none", print.progress = FALSE, quiet = TRUE + )$trend$cp +results[["mean_data_1"]][["Rbeast"]] +testthat::expect_equal(results[["mean_data_1"]][["Rbeast"]], c(701, 301, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN), tolerance = 0.2) +results[["mean_data_1"]][["stepR"]] <- + stepR::stepFit(mean_data_1, alpha = 0.5)$rightEnd +results[["mean_data_1"]][["stepR"]] +testthat::expect_equal(results[["mean_data_1"]][["stepR"]], c(300, 700, 1000), tolerance = 0.2) +results[["mean_data_1"]][["cpm"]] <- + cpm::processStream(mean_data_1, cpmType = "Student")$changePoints +results[["mean_data_1"]][["cpm"]] +testthat::expect_equal(results[["mean_data_1"]][["cpm"]], c(299, 699), tolerance = 0.2) +results[["mean_data_1"]][["segmented"]] <- + segmented::stepmented( + as.numeric(mean_data_1), npsi = 2 + )$psi[, "Est."] +results[["mean_data_1"]][["segmented"]] +testthat::expect_equal(results[["mean_data_1"]][["segmented"]], c(298, 699), ignore_attr = TRUE, tolerance = 0.2) +results[["mean_data_1"]][["mcp"]] <- mcp::mcp( + list(y ~ 1, ~ 1, ~ 1), + data = data.frame(y = mean_data_1, x = seq_len(nrow(mean_data_1))), + par_x = "x" +) +if (requireNamespace("mcp", quietly = TRUE)) { + plot(results[["mean_data_1"]][["mcp"]]) +} +results[["mean_data_1"]][["not"]] <- + not::not(mean_data_1, contrast = "pcwsConstMean") +if (requireNamespace("not", quietly = TRUE)) { + plot(results[["mean_data_1"]][["not"]]) +} +results[["mean_data_1"]][["bcp"]] <- bcp::bcp(mean_data_1) +if (requireNamespace("bcp", quietly = TRUE)) { + plot(results[["mean_data_1"]][["bcp"]]) +} +results[["mv_data_1"]][["fastcpd"]] <- + fastcpd::fastcpd.mv(mv_data_1, r.progress = FALSE)@cp_set +results[["mv_data_1"]][["fastcpd"]] +testthat::expect_equal(results[["mv_data_1"]][["fastcpd"]], c(300, 700, 1001, 1300, 1700), tolerance = 0.2) +results[["mv_data_1"]][["ecp"]] <- ecp::e.divisive(mv_data_1)$estimates +results[["mv_data_1"]][["ecp"]] +testthat::expect_equal(results[["mv_data_1"]][["ecp"]], c(1, 301, 701, 1001, 1301, 1701, 2001), tolerance = 0.2) +results[["mv_data_1"]][["changepoint"]] <- + changepoint::cpt.meanvar(c(mv_data_1))@cpts +results[["mv_data_1"]][["changepoint"]] +testthat::expect_equal(results[["mv_data_1"]][["changepoint"]], c(300, 2000), tolerance = 0.2) +results[["mv_data_1"]][["CptNonPar"]] <- + CptNonPar::np.mojo(mv_data_1, G = floor(length(mv_data_1) / 6))$cpts +results[["mv_data_1"]][["CptNonPar"]] +testthat::expect_equal(results[["mv_data_1"]][["CptNonPar"]], c(333, 700, 1300), tolerance = 0.2) +results[["mv_data_1"]][["cpm"]] <- + cpm::processStream(mv_data_1, cpmType = "GLR")$changePoints +results[["mv_data_1"]][["cpm"]] +testthat::expect_equal(results[["mv_data_1"]][["cpm"]], c(293, 300, 403, 408, 618, 621, 696, 1000, 1021, 1024, 1293, 1300, 1417, 1693, 1700, 1981), tolerance = 0.2) +results[["mv_data_1"]][["InspectChangepoint"]] <- InspectChangepoint::inspect( + t(mv_data_1), + threshold = InspectChangepoint::compute.threshold( + nrow(mv_data_1), ncol(mv_data_1) + ) +)$changepoints[, "location"] +results[["mv_data_1"]][["InspectChangepoint"]] +testthat::expect_equal(results[["mv_data_1"]][["InspectChangepoint"]], c( + 300, 700, 701, 702, 704, 707, 708, 712, 715, 716, 717, 718, + 721, 722, 723, 726, 727, 729, 731, 732, 734, 736, 740, 742, + 744, 746, 748, 750, 753, 755, 756, 757, 759, 760, 762, 764, + 765, 766, 768, 769, 771, 772, 774, 776, 777, 784, 785, 786, + 789, 791, 792, 794, 797, 798, 799, 801, 802, 803, 807, 809, + 810, 813, 815, 817, 819, 826, 827, 828, 829, 831, 833, 835, + 836, 837, 838, 840, 841, 842, 843, 845, 848, 849, 852, 854, + 860, 862, 864, 866, 868, 870, 872, 875, 879, 881, 884, 886, + 887, 888, 889, 896, 897, 898, 899, 901, 903, 904, 905, 906, + 909, 910, 912, 913, 915, 917, 919, 921, 922, 923, 925, 927, + 928, 932, 934, 936, 937, 940, 944, 945, 947, 948, 949, 951, + 956, 958, 959, 961, 962, 963, 964, 966, 967, 968, 972, 974, + 976, 978, 979, 986, 988, 990, 992, 995, 998, 1000, 1300, 1700, + 1702, 1703, 1704, 1705, 1708, 1710, 1712, 1714, 1716, 1717, 1718, 1720, + 1721, 1723, 1725, 1726, 1727, 1729, 1731, 1733, 1735, 1736, 1737, 1739, + 1742, 1745, 1747, 1748, 1752, 1754, 1756, 1758, 1759, 1760, 1766, 1768, + 1770, 1771, 1773, 1775, 1778, 1782, 1784, 1785, 1790, 1792, 1793, 1795, + 1796, 1797, 1799, 1800, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, + 1813, 1815, 1816, 1818, 1821, 1824, 1825, 1827, 1828, 1829, 1833, 1835, + 1837, 1840, 1841, 1842, 1848, 1849, 1851, 1852, 1854, 1855, 1857, 1859, + 1860, 1862, 1863, 1865, 1867, 1868, 1876, 1878, 1879, 1880, 1882, 1883, + 1884, 1886, 1887, 1889, 1894, 1898, 1899, 1905, 1906, 1907, 1908, 1909, + 1912, 1919, 1920, 1921, 1923, 1924, 1926, 1927, 1928, 1930, 1933, 1934, + 1935, 1936, 1938, 1940, 1941, 1944, 1947, 1950, 1952, 1954, 1955, 1956, + 1960, 1962, 1963, 1965, 1966, 1967, 1969, 1970, 1974, 1976, 1977, 1978, + 1980, 1985, 1987, 1988, 1990, 1996, 1997, 1998 +), tolerance = 0.2) +results[["mv_data_1"]][["Rbeast"]] <- + Rbeast::beast( + mv_data_1, season = "none", print.progress = FALSE, quiet = TRUE + )$trend$cp +results[["mv_data_1"]][["Rbeast"]] +testthat::expect_equal(results[["mv_data_1"]][["Rbeast"]], c(1855, 1794, 1301, 1986, 301, 703, 1981, 1769, 1860, 709), tolerance = 0.2) +results[["mv_data_1"]][["mcp"]] <- mcp::mcp( + list(y ~ 1, ~ 1, ~ 1, ~ 1, ~ 1, ~ 1), + data = data.frame(y = mv_data_1, x = seq_len(nrow(mv_data_1))), + par_x = "x" +) +if (requireNamespace("mcp", quietly = TRUE)) { + plot(results[["mv_data_1"]][["mcp"]]) +} +results[["mv_data_1"]][["not"]] <- + not::not(mv_data_1, contrast = "pcwsConstMeanVar") +if (requireNamespace("not", quietly = TRUE)) { + plot(results[["mv_data_1"]][["not"]]) +} +results[["mean_data_3"]][["fastcpd"]] <- + fastcpd::fastcpd.mean(mean_data_3, r.progress = FALSE)@cp_set +results[["mean_data_3"]][["fastcpd"]] +testthat::expect_equal(results[["mean_data_3"]][["fastcpd"]], c(300, 700), tolerance = 0.2) +results[["mean_data_3"]][["CptNonPar"]] <- + CptNonPar::np.mojo(mean_data_3, G = floor(nrow(mean_data_3) / 6))$cpts +results[["mean_data_3"]][["CptNonPar"]] +testthat::expect_equal(results[["mean_data_3"]][["CptNonPar"]], c(300, 700), tolerance = 0.2) +results[["mean_data_3"]][["InspectChangepoint"]] <- InspectChangepoint::inspect( + t(mean_data_3), + threshold = InspectChangepoint::compute.threshold( + nrow(mean_data_3), ncol(mean_data_3) + ) +)$changepoints[, "location"] +results[["mean_data_3"]][["InspectChangepoint"]] +testthat::expect_equal(results[["mean_data_3"]][["InspectChangepoint"]], c(300, 700), tolerance = 0.2) +results[["mean_data_3"]][["jointseg"]] <- + jointseg::jointSeg(mean_data_3, K = 2)$bestBkp +results[["mean_data_3"]][["jointseg"]] +testthat::expect_equal(results[["mean_data_3"]][["jointseg"]], c(300, 700), tolerance = 0.2) +results[["mean_data_3"]][["Rbeast"]] <- + Rbeast::beast123( + mean_data_3, + metadata = list(whichDimIsTime = 1), + season = "none" + )$trend$cp +results[["mean_data_3"]][["Rbeast"]] +testthat::expect_equal(results[["mean_data_3"]][["Rbeast"]], matrix(c( + 301, 701, 301, + 701, 301, 701, + 142, 117, 926, + 305, NaN, NaN, + 705, NaN, NaN, + 694, NaN, NaN, + NaN, NaN, NaN, + NaN, NaN, NaN, + NaN, NaN, NaN, + NaN, NaN, NaN +), nrow = 10, ncol = 3, byrow = TRUE), tolerance = 0.2) +results[["mean_data_3"]][["strucchange"]] <- + strucchange::breakpoints( + cbind(y.1, y.2, y.3) ~ 1, data = data.frame(y = mean_data_3) + )$breakpoints +results[["mean_data_3"]][["strucchange"]] +testthat::expect_equal(results[["mean_data_3"]][["strucchange"]], c(300, 700), tolerance = 0.2) +results[["mean_data_3"]][["ecp"]] <- ecp::e.divisive(mean_data_3)$estimates +results[["mean_data_3"]][["ecp"]] +testthat::expect_equal(results[["mean_data_3"]][["ecp"]], c(1, 301, 701, 1001), tolerance = 0.2) +results[["mean_data_3"]][["bcp"]] <- bcp::bcp(mean_data_3) +if (requireNamespace("bcp", quietly = TRUE)) { + plot(results[["mean_data_3"]][["bcp"]]) +} +results[["mv_data_3"]][["fastcpd"]] <- + fastcpd::fastcpd.mv(mv_data_3, r.progress = FALSE)@cp_set +results[["mv_data_3"]][["fastcpd"]] +testthat::expect_equal(results[["mv_data_3"]][["fastcpd"]], c(300, 700, 1000, 1300, 1700), tolerance = 0.2) +results[["mv_data_3"]][["ecp"]] <- ecp::e.divisive(mv_data_3)$estimates +results[["mv_data_3"]][["ecp"]] +testthat::expect_equal(results[["mv_data_3"]][["ecp"]], c(1, 301, 701, 1001, 1301, 1701, 2001), tolerance = 0.2) +results[["mv_data_3"]][["InspectChangepoint"]] <- InspectChangepoint::inspect( + t(mv_data_3), + threshold = InspectChangepoint::compute.threshold( + nrow(mv_data_3), ncol(mv_data_3) + ) +)$changepoints[, "location"] +results[["mv_data_3"]][["InspectChangepoint"]] +testthat::expect_equal(results[["mv_data_3"]][["InspectChangepoint"]], c( + 300, 700, 701, 703, 705, 707, 708, 709, 711, 712, 714, 715, + 717, 718, 720, 721, 723, 724, 726, 727, 729, 731, 733, 734, + 736, 737, 739, 740, 742, 743, 744, 746, 747, 749, 750, 752, + 753, 754, 755, 756, 758, 760, 762, 763, 765, 766, 767, 769, + 770, 772, 773, 774, 775, 777, 779, 780, 782, 784, 786, 788, + 790, 791, 793, 795, 797, 799, 801, 803, 804, 806, 809, 810, + 811, 813, 814, 816, 817, 818, 820, 821, 823, 825, 827, 828, + 830, 831, 833, 835, 836, 837, 838, 840, 842, 843, 845, 846, + 848, 849, 850, 852, 853, 854, 855, 856, 858, 859, 860, 862, + 863, 865, 866, 868, 869, 871, 872, 874, 876, 877, 878, 879, + 881, 883, 885, 887, 888, 889, 891, 893, 894, 895, 897, 898, + 900, 901, 903, 904, 906, 908, 909, 911, 913, 914, 916, 917, + 918, 920, 921, 923, 924, 925, 927, 928, 929, 931, 932, 934, + 936, 937, 938, 939, 941, 942, 943, 945, 946, 947, 949, 950, + 952, 954, 955, 956, 957, 958, 959, 961, 962, 964, 965, 967, + 968, 970, 972, 973, 974, 975, 977, 979, 981, 982, 984, 985, + 986, 987, 988, 990, 991, 992, 994, 995, 997, 999, 1000, 1300, + 1700, 1702, 1703, 1704, 1705, 1706, 1708, 1709, 1710, 1712, 1713, 1714, + 1715, 1717, 1719, 1721, 1722, 1723, 1725, 1727, 1729, 1730, 1732, 1734, + 1735, 1737, 1738, 1739, 1741, 1742, 1744, 1746, 1748, 1750, 1752, 1753, + 1754, 1755, 1757, 1758, 1759, 1761, 1762, 1763, 1764, 1766, 1767, 1769, + 1770, 1771, 1773, 1774, 1775, 1777, 1779, 1781, 1782, 1783, 1785, 1786, + 1788, 1789, 1791, 1793, 1794, 1796, 1798, 1800, 1803, 1804, 1805, 1806, + 1808, 1809, 1811, 1812, 1814, 1815, 1817, 1818, 1819, 1821, 1822, 1824, + 1825, 1827, 1828, 1829, 1831, 1833, 1835, 1836, 1838, 1839, 1841, 1843, + 1844, 1846, 1847, 1848, 1850, 1851, 1853, 1854, 1856, 1857, 1858, 1859, + 1860, 1862, 1863, 1864, 1865, 1867, 1869, 1870, 1872, 1873, 1874, 1876, + 1878, 1879, 1881, 1882, 1884, 1885, 1887, 1889, 1891, 1893, 1894, 1896, + 1898, 1899, 1900, 1901, 1902, 1904, 1906, 1907, 1909, 1911, 1913, 1914, + 1916, 1917, 1918, 1919, 1921, 1923, 1924, 1925, 1927, 1928, 1930, 1932, + 1933, 1935, 1936, 1938, 1939, 1941, 1942, 1944, 1946, 1948, 1950, 1951, + 1952, 1954, 1956, 1957, 1959, 1961, 1963, 1965, 1967, 1968, 1970, 1972, + 1973, 1974, 1976, 1977, 1979, 1981, 1982, 1984, 1985, 1987, 1989, 1990, + 1992, 1993, 1995, 1996, 1998 +), tolerance = 0.2) +results[["mv_data_3"]][["Rbeast"]] <- + Rbeast::beast123( + mv_data_3, + metadata = list(whichDimIsTime = 1), + season = "none" + )$trend$cp +results[["mv_data_3"]][["Rbeast"]] +testthat::expect_equal(results[["mv_data_3"]][["Rbeast"]], matrix(c( + 701, 1301, 301, 1301, + 1301, 301, 1301, 710, + 301, 701, 1829, 301, + 1968, 1993, 702, 886, + 1994, 884, 1822, 1975, + 814, 755, 810, 1915, + 1962, 781, 845, 778, + 1978, 767, 1738, 1985, + 1870, 747, 1754, 792, + 1843, 722, 771, 953 +), nrow = 10, ncol = 4, byrow = TRUE), tolerance = 0.2) +results[["lm_data"]][["fastcpd"]] <- + fastcpd::fastcpd.lm(lm_data, r.progress = FALSE)@cp_set +results[["lm_data"]][["fastcpd"]] +testthat::expect_equal(results[["lm_data"]][["fastcpd"]], c(97, 201), tolerance = 0.2) +results[["lm_data"]][["strucchange"]] <- + strucchange::breakpoints(y ~ . - 1, data = lm_data)$breakpoints +results[["lm_data"]][["strucchange"]] +testthat::expect_equal(results[["lm_data"]][["strucchange"]], c(100, 201), tolerance = 0.2) +results[["lm_data"]][["segmented"]] <- + segmented::segmented( + lm( + y ~ . - 1, data.frame(y = lm_data$y, x = lm_data[, -1], index = seq_len(nrow(lm_data))) + ), + seg.Z = ~ index + )$psi[, "Est."] +results[["lm_data"]][["segmented"]] +testthat::expect_equal(results[["lm_data"]][["segmented"]], c(233), ignore_attr = TRUE, tolerance = 0.2) +results[["binomial_data"]][["fastcpd"]] <- + fastcpd::fastcpd.binomial(binomial_data, r.progress = FALSE)@cp_set +results[["binomial_data"]][["fastcpd"]] +testthat::expect_equal(results[["binomial_data"]][["fastcpd"]], 302, tolerance = 0.2) +results[["binomial_data"]][["strucchange"]] <- + strucchange::breakpoints(y ~ . - 1, data = binomial_data)$breakpoints +results[["binomial_data"]][["strucchange"]] +testthat::expect_equal(results[["binomial_data"]][["strucchange"]], 297, tolerance = 0.2) +results[["poisson_data"]][["fastcpd"]] <- + fastcpd::fastcpd.poisson(poisson_data, r.progress = FALSE)@cp_set +results[["poisson_data"]][["fastcpd"]] +testthat::expect_equal(results[["poisson_data"]][["fastcpd"]], c(498, 805, 1003), tolerance = 0.2) +results[["poisson_data"]][["strucchange"]] <- + strucchange::breakpoints(y ~ . - 1, data = poisson_data)$breakpoints +results[["poisson_data"]][["strucchange"]] +testthat::expect_equal(results[["poisson_data"]][["strucchange"]], 935, tolerance = 0.2) +results[["lasso_data"]][["fastcpd"]] <- + fastcpd::fastcpd.lasso(lasso_data, r.progress = FALSE)@cp_set +results[["lasso_data"]][["fastcpd"]] +testthat::expect_equal(results[["lasso_data"]][["fastcpd"]], c(79, 199, 320), tolerance = 0.2) +results[["lasso_data"]][["strucchange"]] <- + strucchange::breakpoints(y ~ . - 1, data = lasso_data)$breakpoints +results[["lasso_data"]][["strucchange"]] +testthat::expect_equal(results[["lasso_data"]][["strucchange"]], c(80, 200, 321), tolerance = 0.2) +results[["ar_data"]][["fastcpd"]] <- + fastcpd::fastcpd.ar(ar_data, 3, r.progress = FALSE)@cp_set +results[["ar_data"]][["fastcpd"]] +testthat::expect_equal(results[["ar_data"]][["fastcpd"]], c(614), tolerance = 0.2) +results[["ar_data"]][["CptNonPar"]] <- + CptNonPar::np.mojo(ar_data, G = floor(length(ar_data) / 6))$cpts +results[["ar_data"]][["CptNonPar"]] +testthat::expect_equal(results[["ar_data"]][["CptNonPar"]], numeric(0), tolerance = 0.2) +results[["ar_data"]][["segmented"]] <- + segmented::segmented( + lm( + y ~ x + 1, data.frame(y = ar_data, x = seq_along(ar_data)) + ), + seg.Z = ~ x + )$psi[, "Est."] +results[["ar_data"]][["segmented"]] +testthat::expect_equal(results[["ar_data"]][["segmented"]], c(690), ignore_attr = TRUE, tolerance = 0.2) +results[["ar_data"]][["mcp"]] <- + mcp::mcp( + list(y ~ 1 + ar(3), ~ 0 + ar(3)), + data = data.frame(y = ar_data, x = seq_along(ar_data)), + par_x = "x" + ) +if (requireNamespace("mcp", quietly = TRUE)) { + plot(results[["ar_data"]][["mcp"]]) +} +results[["garch_data"]][["fastcpd"]] <- + fastcpd::fastcpd.garch(garch_data, c(1, 1), r.progress = FALSE)@cp_set +results[["garch_data"]][["fastcpd"]] +testthat::expect_equal(results[["garch_data"]][["fastcpd"]], c(205), tolerance = 0.2) +results[["garch_data"]][["CptNonPar"]] <- + CptNonPar::np.mojo(garch_data, G = floor(length(garch_data) / 6))$cpts +results[["garch_data"]][["CptNonPar"]] +testthat::expect_equal(results[["garch_data"]][["CptNonPar"]], c(206), tolerance = 0.2) +results[["garch_data"]][["strucchange"]] <- + strucchange::breakpoints(x ~ 1, data = data.frame(x = garch_data))$breakpoints +results[["garch_data"]][["strucchange"]] +testthat::expect_equal(results[["garch_data"]][["strucchange"]], NA, tolerance = 0.2) +results[["var_data"]][["fastcpd"]] <- + fastcpd::fastcpd.var(var_data, 2, r.progress = FALSE)@cp_set +results[["var_data"]][["fastcpd"]] +testthat::expect_equal(results[["var_data"]][["fastcpd"]], c(500), tolerance = 0.2) +results[["var_data"]][["VARDetect"]] <- VARDetect::tbss(var_data)$cp +results[["var_data"]][["VARDetect"]] +testthat::expect_equal(results[["var_data"]][["VARDetect"]], c(501), tolerance = 0.2) +well_log <- fastcpd::well_log +well_log <- well_log[well_log > 1e5] + +results[["well_log"]] <- list( + fastcpd = fastcpd.mean(well_log, trim = 0.003)@cp_set, + changepoint = changepoint::cpt.mean(well_log)@cpts, + CptNonPar = + CptNonPar::np.mojo(well_log, G = floor(length(well_log) / 6))$cpts, + strucchange = strucchange::breakpoints( y ~ 1, data = data.frame(y = well_log) )$breakpoints, ecp = ecp::e.divisive(matrix(well_log))$estimates, @@ -884,15 +2126,15 @@ result <- list( )$trend$cp, stepR = stepR::stepFit(well_log, alpha = 0.5)$rightEnd ) - -package_list <- sort(names(result), decreasing = TRUE) +results[["well_log"]] +package_list <- sort(names(results[["well_log"]]), decreasing = TRUE) comparison_table <- NULL for (package_index in seq_along(package_list)) { package <- package_list[[package_index]] comparison_table <- rbind( comparison_table, data.frame( - change_point = result[[package]], + change_point = results[["well_log"]][[package]], package = package, y_offset = (package_index - 1) * 1000 ) @@ -908,54 +2150,44 @@ for (i in seq_len(length(most_selected) - 1)) { } } (most_selected <- most_selected[!is.na(most_selected)]) -#> [1] 6.0 314.0 434.0 704.0 776.0 1021.0 1057.0 1347.0 1405.0 1502.0 1661.0 1842.0 2023.0 2202.0 -#> [15] 2384.5 2445.0 2507.0 2567.5 2738.0 2921.0 3094.0 3251.0 3464.0 3499.0 3622.0 3709.0 3820.0 3976.0 -``` - -```{r detection-comparison-well-log-plot, eval = FALSE} -ggplot2::ggplot() + - ggplot2::geom_point( - data = data.frame(x = seq_along(well_log), y = c(well_log)), - ggplot2::aes(x = x, y = y) - ) + - ggplot2::geom_vline( - xintercept = most_selected, - color = "black", - linetype = "dashed", - alpha = 0.2 - ) + - ggplot2::geom_point( - data = comparison_table, - ggplot2::aes(x = change_point, y = 50000 + y_offset, color = package), - shape = 17, - size = 1.9 - ) + - ggplot2::geom_hline( - data = comparison_table, - ggplot2::aes(yintercept = 50000 + y_offset, color = package), - linetype = "dashed", - alpha = 0.1 - ) + - ggplot2::coord_cartesian( - ylim = c(50000 - 500, max(well_log) + 1000), - xlim = c(-200, length(well_log) + 200), - expand = FALSE - ) + - ggplot2::theme( - panel.background = ggplot2::element_blank(), - panel.border = ggplot2::element_rect(colour = "black", fill = NA), - panel.grid.major = ggplot2::element_blank(), - panel.grid.minor = ggplot2::element_blank() - ) + - ggplot2::xlab(NULL) + ggplot2::ylab(NULL) -``` - -![Plot of the detection using `well_log` data](comparison-packages-well_log-cpts.svg) - -# Time comparison using `well_log` - -```{r time-comparison-well-log, eval = FALSE} -microbenchmark_result <- microbenchmark::microbenchmark( +if (requireNamespace("ggplot2", quietly = TRUE)) { + ggplot2::ggplot() + + ggplot2::geom_point( + data = data.frame(x = seq_along(well_log), y = c(well_log)), + ggplot2::aes(x = x, y = y) + ) + + ggplot2::geom_vline( + xintercept = most_selected, + color = "black", + linetype = "dashed", + alpha = 0.2 + ) + + ggplot2::geom_point( + data = comparison_table, + ggplot2::aes(x = change_point, y = 50000 + y_offset, color = package), + shape = 17, + size = 1.9 + ) + + ggplot2::geom_hline( + data = comparison_table, + ggplot2::aes(yintercept = 50000 + y_offset, color = package), + linetype = "dashed", + alpha = 0.1 + ) + + ggplot2::coord_cartesian( + ylim = c(50000 - 500, max(well_log) + 1000), + xlim = c(-200, length(well_log) + 200), + expand = FALSE + ) + + ggplot2::theme( + panel.background = ggplot2::element_blank(), + panel.border = ggplot2::element_rect(colour = "black", fill = NA), + panel.grid.major = ggplot2::element_blank(), + panel.grid.minor = ggplot2::element_blank() + ) + + ggplot2::xlab(NULL) + ggplot2::ylab(NULL) +} +results[["microbenchmark"]] <- microbenchmark::microbenchmark( fastcpd = fastcpd::fastcpd.mean(well_log, trim = 0.003, r.progress = FALSE), changepoint = changepoint::cpt.mean(well_log, method = "PELT"), CptNonPar = CptNonPar::np.mojo(well_log, G = floor(length(well_log) / 6)), @@ -986,46 +2218,11 @@ microbenchmark_result <- microbenchmark::microbenchmark( not = not::not(well_log, contrast = "pcwsConstMean"), times = 10 ) -#> Unit: milliseconds -#> expr min lq mean median uq max neval -#> fastcpd 8.411284e+01 8.692226e+01 1.011440e+02 1.044509e+02 1.089672e+02 118.05842 10 -#> changepoint 3.206773e+01 3.377081e+01 6.843465e+01 3.857181e+01 5.243834e+01 244.76672 10 -#> CptNonPar 1.827381e+04 1.901094e+04 2.002752e+04 1.985180e+04 2.076803e+04 22511.59316 10 -#> strucchange 5.955079e+04 6.059315e+04 6.185727e+04 6.131291e+04 6.312073e+04 64638.93090 10 -#> ecp 7.590543e+05 7.707573e+05 7.859080e+05 7.830752e+05 8.093015e+05 810339.52140 10 -#> breakfast 9.170992e+03 9.344041e+03 9.628236e+03 9.382078e+03 9.628663e+03 11073.79318 10 -#> wbs 1.139078e+02 1.145472e+02 1.178167e+02 1.166746e+02 1.201676e+02 127.27064 10 -#> mosum 1.172847e+00 1.231747e+00 1.740727e+01 1.416854e+00 1.919586e+00 160.76997 10 -#> fpop 2.588228e+00 2.630407e+00 4.587742e+00 2.832556e+00 3.312986e+00 18.52067 10 -#> gfpop 5.971245e+01 6.072684e+01 6.533492e+01 6.172578e+01 6.839653e+01 87.89407 10 -#> InspectChangepoint 1.698673e+02 1.909034e+02 2.392539e+02 2.117010e+02 3.004474e+02 329.87724 10 -#> jointseg 2.000894e+01 2.136878e+01 2.551210e+01 2.167757e+01 2.403593e+01 47.98397 10 -#> Rbeast 6.533998e+02 6.625203e+02 6.783586e+02 6.792646e+02 6.875840e+02 723.45376 10 -#> stepR 2.793709e+01 2.902084e+01 4.380857e+01 3.068416e+01 3.227125e+01 164.81082 10 -#> not 9.599763e+01 9.701856e+01 1.028601e+02 1.012292e+02 1.049974e+02 120.73529 10 -``` - -```{r time-comparison-well-log-plot, eval = FALSE} -ggplot2::autoplot(microbenchmark_result) -``` - -![Plot of the running time using `well_log` data](comparison-packages-well_log-time.svg) - -# Related issues - -- `mosum`: [[#4](https://github.com/doccstat/fastcpd/issues/4)]. -- `mcp`: [link 1](https://github.com/doccstat/fastcpd/actions/runs/7272426093/job/19814531091) - and [link 2](https://github.com/doccstat/fastcpd/actions/runs/7272426093/job/19814531284). -- `bcp`: [[#5](https://github.com/doccstat/fastcpd/issues/5)]. -- `gfpop`: [[#10](https://github.com/doccstat/fastcpd/issues/10)]. - -# Acknowledgements - -- [Dr. Vito Muggeo](https://www.unipa.it/persone/docenti/m/vito.muggeo), - author of the `segmented` package for the tips about the piece-wise - constant function. - -# Appendix: all code snippets - -```{r ref.label = knitr::all_labels(), echo = TRUE, eval = FALSE} +results[["microbenchmark"]] +if (requireNamespace("ggplot2", quietly = TRUE) && requireNamespace("microbenchmark", quietly = TRUE)) { + ggplot2::autoplot(results[["microbenchmark"]]) +} +if (!file.exists("comparison-packages-results.RData")) { + save(results, file = "comparison-packages-results.RData") +} ``` diff --git a/vignettes/comparison-packages.Rmd.original b/vignettes/comparison-packages.Rmd.original new file mode 100644 index 00000000..be272d83 --- /dev/null +++ b/vignettes/comparison-packages.Rmd.original @@ -0,0 +1,1358 @@ +--- +title: "Comparison with other R packages" +output: rmarkdown::html_vignette +description: | + Speed and result comparison with other R packages. +vignette: > + %\VignetteIndexEntry{Comparison with other R packages} + %\VignetteEngine{knitr::rmarkdown} + %\VignetteEncoding{UTF-8} +--- + +```{r, include = FALSE} +knitr::opts_chunk$set( + collapse = TRUE, comment = "#>", eval = TRUE, cache = FALSE, + warning = FALSE, fig.width = 8, fig.height = 5 +) + +if (requireNamespace("microbenchmark", quietly = TRUE)) { + library(microbenchmark) +} + +if (file.exists("comparison-packages-results.RData")) { + # Available at https://pcloud.xingchi.li/comparison-packages-results.RData + load("comparison-packages-results.RData") +} else { + results <- list() +} +``` + +# Data setup + +## Univariate mean change + +```{r data-setup-univariate-mean-change} +# Univariate mean change +set.seed(1) +p <- 1 +mean_data_1 <- rbind( + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(100, p)), + mvtnorm::rmvnorm(400, mean = rep(50, p), sigma = diag(100, p)), + mvtnorm::rmvnorm(300, mean = rep(2, p), sigma = diag(100, p)) +) + +plot.ts(mean_data_1) +``` + +## Univariate mean and/or variance change + +```{r data-setup-univariate-mean-and-or-variance-change} +# Univariate mean and/or variance change +set.seed(1) +p <- 1 +mv_data_1 <- rbind( + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(400, mean = rep(10, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(100, p)), + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(400, mean = rep(10, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(300, mean = rep(10, p), sigma = diag(100, p)) +) + +plot.ts(mv_data_1) +``` + +## Multivariate mean change + +```{r data-setup-multivariate-mean-change} +# Multivariate mean change +set.seed(1) +p <- 3 +mean_data_3 <- rbind( + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(100, p)), + mvtnorm::rmvnorm(400, mean = rep(50, p), sigma = diag(100, p)), + mvtnorm::rmvnorm(300, mean = rep(2, p), sigma = diag(100, p)) +) + +plot.ts(mean_data_3) +``` + +## Multivariate mean and/or variance change + +```{r data-setup-multivariate-mean-and-or-variance-change} +# Multivariate mean and/or variance change +set.seed(1) +p <- 4 +mv_data_3 <- rbind( + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(400, mean = rep(10, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(100, p)), + mvtnorm::rmvnorm(300, mean = rep(0, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(400, mean = rep(10, p), sigma = diag(1, p)), + mvtnorm::rmvnorm(300, mean = rep(10, p), sigma = diag(100, p)) +) + +plot.ts(mv_data_3) +``` + +## Linear regression + +```{r data-setup-linear-regression} +# Linear regression +set.seed(1) +n <- 300 +p <- 4 +x <- mvtnorm::rmvnorm(n, rep(0, p), diag(p)) +theta_0 <- rbind(c(1, 3.2, -1, 0), c(-1, -0.5, 2.5, -2), c(0.8, 0, 1, 2)) +y <- c( + x[1:100, ] %*% theta_0[1, ] + rnorm(100, 0, 3), + x[101:200, ] %*% theta_0[2, ] + rnorm(100, 0, 3), + x[201:n, ] %*% theta_0[3, ] + rnorm(100, 0, 3) +) +lm_data <- data.frame(y = y, x = x) + +plot.ts(lm_data) +``` + +## Logistic regression + +```{r data-setup-logistic-regression} +# Logistic regression +set.seed(1) +n <- 500 +p <- 4 +x <- mvtnorm::rmvnorm(n, rep(0, p), diag(p)) +theta <- rbind(rnorm(p, 0, 1), rnorm(p, 2, 1)) +y <- c( + rbinom(300, 1, 1 / (1 + exp(-x[1:300, ] %*% theta[1, ]))), + rbinom(200, 1, 1 / (1 + exp(-x[301:n, ] %*% theta[2, ]))) +) +binomial_data <- data.frame(y = y, x = x) + +plot.ts(binomial_data) +``` + +## Poisson regression + +```{r data-setup-poisson-regression} +# Poisson regression +set.seed(1) +n <- 1100 +p <- 3 +x <- mvtnorm::rmvnorm(n, rep(0, p), diag(p)) +delta <- rnorm(p) +theta_0 <- c(1, 0.3, -1) +y <- c( + rpois(500, exp(x[1:500, ] %*% theta_0)), + rpois(300, exp(x[501:800, ] %*% (theta_0 + delta))), + rpois(200, exp(x[801:1000, ] %*% theta_0)), + rpois(100, exp(x[1001:1100, ] %*% (theta_0 - delta))) +) +poisson_data <- data.frame(y = y, x = x) + +plot.ts(log(poisson_data$y)) +plot.ts(poisson_data[, -1]) +``` + +## Lasso + +```{r data-setup-lasso} +# Lasso +set.seed(1) +n <- 480 +p_true <- 6 +p <- 50 +x <- mvtnorm::rmvnorm(n, rep(0, p), diag(p)) +theta_0 <- rbind( + runif(p_true, -5, -2), + runif(p_true, -3, 3), + runif(p_true, 2, 5), + runif(p_true, -5, 5) +) +theta_0 <- cbind(theta_0, matrix(0, ncol = p - p_true, nrow = 4)) +y <- c( + x[1:80, ] %*% theta_0[1, ] + rnorm(80, 0, 1), + x[81:200, ] %*% theta_0[2, ] + rnorm(120, 0, 1), + x[201:320, ] %*% theta_0[3, ] + rnorm(120, 0, 1), + x[321:n, ] %*% theta_0[4, ] + rnorm(160, 0, 1) +) +lasso_data <- data.frame(y = y, x = x) + +plot.ts(lasso_data[, seq_len(p_true + 1)]) +``` + +## AR(3) + +```{r data-setup-ar3} +# AR(3) +set.seed(1) +n <- 1000 +x <- rep(0, n + 3) +for (i in 1:600) { + x[i + 3] <- 0.6 * x[i + 2] - 0.2 * x[i + 1] + 0.1 * x[i] + rnorm(1, 0, 3) +} +for (i in 601:1000) { + x[i + 3] <- 0.3 * x[i + 2] + 0.4 * x[i + 1] + 0.2 * x[i] + rnorm(1, 0, 3) +} +ar_data <- x[-seq_len(3)] + +plot.ts(ar_data) +``` + +## GARCH(1, 1) + +```{r data-setup-garch11} +# GARCH(1, 1) +set.seed(1) +n <- 400 +sigma_2 <- rep(1, n + 1) +x <- rep(0, n + 1) +for (i in seq_len(200)) { + sigma_2[i + 1] <- 20 + 0.5 * x[i]^2 + 0.1 * sigma_2[i] + x[i + 1] <- rnorm(1, 0, sqrt(sigma_2[i + 1])) +} +for (i in 201:400) { + sigma_2[i + 1] <- 1 + 0.1 * x[i]^2 + 0.5 * sigma_2[i] + x[i + 1] <- rnorm(1, 0, sqrt(sigma_2[i + 1])) +} +garch_data <- x[-1] + +plot.ts(garch_data) +``` + +## VAR(2) + +```{r data-setup-var2} +# VAR(2) +set.seed(1) +n <- 800 +p <- 2 +theta_1 <- matrix(c(-0.3, 0.6, -0.5, 0.4, 0.2, 0.2, 0.2, -0.2), nrow = p) +theta_2 <- matrix(c(0.3, -0.4, 0.1, -0.5, -0.5, -0.2, -0.5, 0.2), nrow = p) +x <- matrix(0, n + 2, p) +for (i in 1:500) { + x[i + 2, ] <- theta_1 %*% c(x[i + 1, ], x[i, ]) + rnorm(p, 0, 1) +} +for (i in 501:n) { + x[i + 2, ] <- theta_2 %*% c(x[i + 1, ], x[i, ]) + rnorm(p, 0, 1) +} +var_data <- x[-seq_len(2), ] + +plot.ts(var_data) +``` + +# Univariate mean change + +The true change points are 300 and 700. +Some methods are plotted due to the un-retrievable change points. + +```{r univariate-mean-change-fastcpd, eval = FALSE} +results[["mean_data_1"]][["fastcpd"]] <- + fastcpd::fastcpd.mean(mean_data_1, r.progress = FALSE)@cp_set +``` + +```{r univariate-mean-change-fastcpd-result} +results[["mean_data_1"]][["fastcpd"]] +``` + +```{r univariate-mean-change-fastcpd-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["fastcpd"]], c(300, 700), tolerance = 0.2) +``` + +```{r univariate-mean-change-CptNonPar, eval = FALSE} +results[["mean_data_1"]][["CptNonPar"]] <- + CptNonPar::np.mojo(mean_data_1, G = floor(length(mean_data_1) / 6))$cpts +``` + +```{r univariate-mean-change-CptNonPar-result} +results[["mean_data_1"]][["CptNonPar"]] +``` + +```{r univariate-mean-change-CptNonPar-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["CptNonPar"]], c(300, 700), tolerance = 0.2) +``` + +```{r univariate-mean-change-strucchange, eval = FALSE} +results[["mean_data_1"]][["strucchange"]] <- + strucchange::breakpoints(y ~ 1, data = data.frame(y = mean_data_1))$breakpoints +``` + +```{r univariate-mean-change-strucchange-result} +results[["mean_data_1"]][["strucchange"]] +``` + +```{r univariate-mean-change-strucchange-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["strucchange"]], c(300, 700), tolerance = 0.2) +``` + +```{r univariate-mean-change-ecp, eval = FALSE} +results[["mean_data_1"]][["ecp"]] <- ecp::e.divisive(mean_data_1)$estimates +``` + +```{r univariate-mean-change-ecp-result} +results[["mean_data_1"]][["ecp"]] +``` + +```{r univariate-mean-change-ecp-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["ecp"]], c(1, 301, 701, 1001), tolerance = 0.2) +``` + +```{r univariate-mean-change-changepoint, eval = FALSE} +results[["mean_data_1"]][["changepoint"]] <- + changepoint::cpt.mean(c(mean_data_1))@cpts +``` + +```{r univariate-mean-change-changepoint-result} +results[["mean_data_1"]][["changepoint"]] +``` + +```{r univariate-mean-change-changepoint-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["changepoint"]], c(300, 1000), tolerance = 0.2) +``` + +```{r univariate-mean-change-breakfast, eval = FALSE} +results[["mean_data_1"]][["breakfast"]] <- + breakfast::breakfast(mean_data_1)$cptmodel.list[[6]]$cpts +``` + +```{r univariate-mean-change-breakfast-result} +results[["mean_data_1"]][["breakfast"]] +``` + +```{r univariate-mean-change-breakfast-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["breakfast"]], c(300, 700), tolerance = 0.2) +``` + +```{r univariate-mean-change-wbs, eval = FALSE} +results[["mean_data_1"]][["wbs"]] <- + wbs::wbs(mean_data_1)$cpt$cpt.ic$mbic.penalty +``` + +```{r univariate-mean-change-wbs-result} +results[["mean_data_1"]][["wbs"]] +``` + +```{r univariate-mean-change-wbs-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["wbs"]], c(300, 700), tolerance = 0.2) +``` + +```{r univariate-mean-change-mosum, eval = FALSE} +results[["mean_data_1"]][["mosum"]] <- + mosum::mosum(c(mean_data_1), G = 40)$cpts.info$cpts +``` + +```{r univariate-mean-change-mosum-result} +results[["mean_data_1"]][["mosum"]] +``` + +```{r univariate-mean-change-mosum-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["mosum"]], c(300, 700), tolerance = 0.2) +``` + +```{r univariate-mean-change-fpop, eval = FALSE} +results[["mean_data_1"]][["fpop"]] <- + fpop::Fpop(mean_data_1, nrow(mean_data_1))$t.est +``` + +```{r univariate-mean-change-fpop-result} +results[["mean_data_1"]][["fpop"]] +``` + +```{r univariate-mean-change-fpop-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["fpop"]], c(300, 700, 1000), tolerance = 0.2) +``` + +```{r univariate-mean-change-gfpop, eval = FALSE} +results[["mean_data_1"]][["gfpop"]] <- + gfpop::gfpop( + data = mean_data_1, + mygraph = gfpop::graph( + penalty = 2 * log(nrow(mean_data_1)) * gfpop::sdDiff(mean_data_1) ^ 2, + type = "updown" + ), + type = "mean" + )$changepoints +``` + +```{r univariate-mean-change-gfpop-result} +results[["mean_data_1"]][["gfpop"]] +``` + +```{r univariate-mean-change-gfpop-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["gfpop"]], c(300, 700, 1000), tolerance = 0.2) +``` + +```{r univariate-mean-change-InspectChangepoint, eval = FALSE} +results[["mean_data_1"]][["InspectChangepoint"]] <- InspectChangepoint::inspect( + t(mean_data_1), + threshold = InspectChangepoint::compute.threshold( + nrow(mean_data_1), ncol(mean_data_1) + ) +)$changepoints[, "location"] +``` + +```{r univariate-mean-change-InspectChangepoint-result} +results[["mean_data_1"]][["InspectChangepoint"]] +``` + +```{r univariate-mean-change-InspectChangepoint-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["InspectChangepoint"]], c(300, 700), tolerance = 0.2) +``` + +```{r univariate-mean-change-jointseg, eval = FALSE} +results[["mean_data_1"]][["jointseg"]] <- + jointseg::jointSeg(mean_data_1, K = 2)$bestBkp +``` + +```{r univariate-mean-change-jointseg-result} +results[["mean_data_1"]][["jointseg"]] +``` + +```{r univariate-mean-change-jointseg-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["jointseg"]], c(300, 700), tolerance = 0.2) +``` + +```{r univariate-mean-change-Rbeast, eval = FALSE} +results[["mean_data_1"]][["Rbeast"]] <- + Rbeast::beast( + mean_data_1, season = "none", print.progress = FALSE, quiet = TRUE + )$trend$cp +``` + +```{r univariate-mean-change-Rbeast-result} +results[["mean_data_1"]][["Rbeast"]] +``` + +```{r univariate-mean-change-Rbeast-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["Rbeast"]], c(701, 301, NaN, NaN, NaN, NaN, NaN, NaN, NaN, NaN), tolerance = 0.2) +``` + +```{r univariate-mean-change-stepR, eval = FALSE} +results[["mean_data_1"]][["stepR"]] <- + stepR::stepFit(mean_data_1, alpha = 0.5)$rightEnd +``` + +```{r univariate-mean-change-stepR-result} +results[["mean_data_1"]][["stepR"]] +``` + +```{r univariate-mean-change-stepR-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["stepR"]], c(300, 700, 1000), tolerance = 0.2) +``` + +```{r univariate-mean-change-cpm, eval = FALSE} +results[["mean_data_1"]][["cpm"]] <- + cpm::processStream(mean_data_1, cpmType = "Student")$changePoints +``` + +```{r univariate-mean-change-cpm-result} +results[["mean_data_1"]][["cpm"]] +``` + +```{r univariate-mean-change-cpm-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["cpm"]], c(299, 699), tolerance = 0.2) +``` + +```{r univariate-mean-change-segmented, eval = FALSE} +results[["mean_data_1"]][["segmented"]] <- + segmented::stepmented( + as.numeric(mean_data_1), npsi = 2 + )$psi[, "Est."] +``` + +```{r univariate-mean-change-segmented-result} +results[["mean_data_1"]][["segmented"]] +``` + +```{r univariate-mean-change-segmented-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_1"]][["segmented"]], c(298, 699), ignore_attr = TRUE, tolerance = 0.2) +``` + +```{r univariate-mean-change-mcp, eval = FALSE} +results[["mean_data_1"]][["mcp"]] <- mcp::mcp( + list(y ~ 1, ~ 1, ~ 1), + data = data.frame(y = mean_data_1, x = seq_len(nrow(mean_data_1))), + par_x = "x" +) +``` + +```{r univariate-mean-change-mcp-result} +if (requireNamespace("mcp", quietly = TRUE)) { + plot(results[["mean_data_1"]][["mcp"]]) +} +``` + +```{r univariate-mean-change-not, eval = FALSE} +results[["mean_data_1"]][["not"]] <- + not::not(mean_data_1, contrast = "pcwsConstMean") +``` + +```{r univariate-mean-change-not-result} +if (requireNamespace("not", quietly = TRUE)) { + plot(results[["mean_data_1"]][["not"]]) +} +``` + +```{r univariate-mean-change-bcp, eval = FALSE} +results[["mean_data_1"]][["bcp"]] <- bcp::bcp(mean_data_1) +``` + +```{r univariate-mean-change-bcp-result} +if (requireNamespace("bcp", quietly = TRUE)) { + plot(results[["mean_data_1"]][["bcp"]]) +} +``` + +# Univariate mean and/or variance change + +The true change points are 300, 700, 1000, 1300 and 1700. +Some methods are plotted due to the un-retrievable change points. + +```{r univariate-mean-and-or-variance-change-fastcpd, eval = FALSE} +results[["mv_data_1"]][["fastcpd"]] <- + fastcpd::fastcpd.mv(mv_data_1, r.progress = FALSE)@cp_set +``` + +```{r univariate-mean-and-or-variance-change-fastcpd-result} +results[["mv_data_1"]][["fastcpd"]] +``` + +```{r univariate-mean-and-or-variance-change-fastcpd-testthat, include = FALSE} +testthat::expect_equal(results[["mv_data_1"]][["fastcpd"]], c(300, 700, 1001, 1300, 1700), tolerance = 0.2) +``` + +```{r univariate-mean-and-or-variance-change-ecp, eval = FALSE} +results[["mv_data_1"]][["ecp"]] <- ecp::e.divisive(mv_data_1)$estimates +``` + +```{r univariate-mean-and-or-variance-change-ecp-result} +results[["mv_data_1"]][["ecp"]] +``` + +```{r univariate-mean-and-or-variance-change-ecp-testthat, include = FALSE} +testthat::expect_equal(results[["mv_data_1"]][["ecp"]], c(1, 301, 701, 1001, 1301, 1701, 2001), tolerance = 0.2) +``` + +```{r univariate-mean-and-or-variance-change-changepoint, eval = FALSE} +results[["mv_data_1"]][["changepoint"]] <- + changepoint::cpt.meanvar(c(mv_data_1))@cpts +``` + +```{r univariate-mean-and-or-variance-change-changepoint-result} +results[["mv_data_1"]][["changepoint"]] +``` + +```{r univariate-mean-and-or-variance-change-changepoint-testthat, include = FALSE} +testthat::expect_equal(results[["mv_data_1"]][["changepoint"]], c(300, 2000), tolerance = 0.2) +``` + +```{r univariate-mean-and-or-variance-change-CptNonPar, eval = FALSE} +results[["mv_data_1"]][["CptNonPar"]] <- + CptNonPar::np.mojo(mv_data_1, G = floor(length(mv_data_1) / 6))$cpts +``` + +```{r univariate-mean-and-or-variance-change-CptNonPar-result} +results[["mv_data_1"]][["CptNonPar"]] +``` + +```{r univariate-mean-and-or-variance-change-CptNonPar-testthat, include = FALSE} +testthat::expect_equal(results[["mv_data_1"]][["CptNonPar"]], c(333, 700, 1300), tolerance = 0.2) +``` + +```{r univariate-mean-and-or-variance-change-cpm, eval = FALSE} +results[["mv_data_1"]][["cpm"]] <- + cpm::processStream(mv_data_1, cpmType = "GLR")$changePoints +``` + +```{r univariate-mean-and-or-variance-change-cpm-result} +results[["mv_data_1"]][["cpm"]] +``` + +```{r univariate-mean-and-or-variance-change-cpm-testthat, include = FALSE} +testthat::expect_equal(results[["mv_data_1"]][["cpm"]], c(293, 300, 403, 408, 618, 621, 696, 1000, 1021, 1024, 1293, 1300, 1417, 1693, 1700, 1981), tolerance = 0.2) +``` + +```{r univariate-mean-and-or-variance-change-InspectChangepoint, eval = FALSE} +results[["mv_data_1"]][["InspectChangepoint"]] <- InspectChangepoint::inspect( + t(mv_data_1), + threshold = InspectChangepoint::compute.threshold( + nrow(mv_data_1), ncol(mv_data_1) + ) +)$changepoints[, "location"] +``` + +```{r univariate-mean-and-or-variance-change-InspectChangepoint-result} +results[["mv_data_1"]][["InspectChangepoint"]] +``` + +```{r univariate-mean-and-or-variance-change-InspectChangepoint-testthat, include = FALSE} +testthat::expect_equal(results[["mv_data_1"]][["InspectChangepoint"]], c( + 300, 700, 701, 702, 704, 707, 708, 712, 715, 716, 717, 718, + 721, 722, 723, 726, 727, 729, 731, 732, 734, 736, 740, 742, + 744, 746, 748, 750, 753, 755, 756, 757, 759, 760, 762, 764, + 765, 766, 768, 769, 771, 772, 774, 776, 777, 784, 785, 786, + 789, 791, 792, 794, 797, 798, 799, 801, 802, 803, 807, 809, + 810, 813, 815, 817, 819, 826, 827, 828, 829, 831, 833, 835, + 836, 837, 838, 840, 841, 842, 843, 845, 848, 849, 852, 854, + 860, 862, 864, 866, 868, 870, 872, 875, 879, 881, 884, 886, + 887, 888, 889, 896, 897, 898, 899, 901, 903, 904, 905, 906, + 909, 910, 912, 913, 915, 917, 919, 921, 922, 923, 925, 927, + 928, 932, 934, 936, 937, 940, 944, 945, 947, 948, 949, 951, + 956, 958, 959, 961, 962, 963, 964, 966, 967, 968, 972, 974, + 976, 978, 979, 986, 988, 990, 992, 995, 998, 1000, 1300, 1700, + 1702, 1703, 1704, 1705, 1708, 1710, 1712, 1714, 1716, 1717, 1718, 1720, + 1721, 1723, 1725, 1726, 1727, 1729, 1731, 1733, 1735, 1736, 1737, 1739, + 1742, 1745, 1747, 1748, 1752, 1754, 1756, 1758, 1759, 1760, 1766, 1768, + 1770, 1771, 1773, 1775, 1778, 1782, 1784, 1785, 1790, 1792, 1793, 1795, + 1796, 1797, 1799, 1800, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, + 1813, 1815, 1816, 1818, 1821, 1824, 1825, 1827, 1828, 1829, 1833, 1835, + 1837, 1840, 1841, 1842, 1848, 1849, 1851, 1852, 1854, 1855, 1857, 1859, + 1860, 1862, 1863, 1865, 1867, 1868, 1876, 1878, 1879, 1880, 1882, 1883, + 1884, 1886, 1887, 1889, 1894, 1898, 1899, 1905, 1906, 1907, 1908, 1909, + 1912, 1919, 1920, 1921, 1923, 1924, 1926, 1927, 1928, 1930, 1933, 1934, + 1935, 1936, 1938, 1940, 1941, 1944, 1947, 1950, 1952, 1954, 1955, 1956, + 1960, 1962, 1963, 1965, 1966, 1967, 1969, 1970, 1974, 1976, 1977, 1978, + 1980, 1985, 1987, 1988, 1990, 1996, 1997, 1998 +), tolerance = 0.2) +``` + +```{r univariate-mean-and-or-variance-change-Rbeast, eval = FALSE} +results[["mv_data_1"]][["Rbeast"]] <- + Rbeast::beast( + mv_data_1, season = "none", print.progress = FALSE, quiet = TRUE + )$trend$cp +``` + +```{r univariate-mean-and-or-variance-change-Rbeast-result} +results[["mv_data_1"]][["Rbeast"]] +``` + +```{r univariate-mean-and-or-variance-change-Rbeast-testthat, include = FALSE} +testthat::expect_equal(results[["mv_data_1"]][["Rbeast"]], c(1855, 1794, 1301, 1986, 301, 703, 1981, 1769, 1860, 709), tolerance = 0.2) +``` + +```{r univariate-mean-and-or-variance-change-mcp, eval = FALSE} +results[["mv_data_1"]][["mcp"]] <- mcp::mcp( + list(y ~ 1, ~ 1, ~ 1, ~ 1, ~ 1, ~ 1), + data = data.frame(y = mv_data_1, x = seq_len(nrow(mv_data_1))), + par_x = "x" +) +``` + +```{r univariate-mean-and-or-variance-change-mcp-result} +if (requireNamespace("mcp", quietly = TRUE)) { + plot(results[["mv_data_1"]][["mcp"]]) +} +``` + +```{r univariate-mean-and-or-variance-change-not, eval = FALSE} +results[["mv_data_1"]][["not"]] <- + not::not(mv_data_1, contrast = "pcwsConstMeanVar") +``` + +```{r univariate-mean-and-or-variance-change-not-result} +if (requireNamespace("not", quietly = TRUE)) { + plot(results[["mv_data_1"]][["not"]]) +} +``` + +# Multivariate mean change + +The true change points are 300 and 700. +Some methods are plotted due to the un-retrievable change points. + +```{r multivariate-mean-change-fastcpd, eval = FALSE} +results[["mean_data_3"]][["fastcpd"]] <- + fastcpd::fastcpd.mean(mean_data_3, r.progress = FALSE)@cp_set +``` + +```{r multivariate-mean-change-fastcpd-result} +results[["mean_data_3"]][["fastcpd"]] +``` + +```{r multivariate-mean-change-fastcpd-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_3"]][["fastcpd"]], c(300, 700), tolerance = 0.2) +``` + +```{r multivariate-mean-change-CptNonPar, eval = FALSE} +results[["mean_data_3"]][["CptNonPar"]] <- + CptNonPar::np.mojo(mean_data_3, G = floor(nrow(mean_data_3) / 6))$cpts +``` + +```{r multivariate-mean-change-CptNonPar-result} +results[["mean_data_3"]][["CptNonPar"]] +``` + +```{r multivariate-mean-change-CptNonPar-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_3"]][["CptNonPar"]], c(300, 700), tolerance = 0.2) +``` + +```{r multivariate-mean-change-InspectChangepoint, eval = FALSE} +results[["mean_data_3"]][["InspectChangepoint"]] <- InspectChangepoint::inspect( + t(mean_data_3), + threshold = InspectChangepoint::compute.threshold( + nrow(mean_data_3), ncol(mean_data_3) + ) +)$changepoints[, "location"] +``` + +```{r multivariate-mean-change-InspectChangepoint-result} +results[["mean_data_3"]][["InspectChangepoint"]] +``` + +```{r multivariate-mean-change-InspectChangepoint-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_3"]][["InspectChangepoint"]], c(300, 700), tolerance = 0.2) +``` + +```{r multivariate-mean-change-jointseg, eval = FALSE} +results[["mean_data_3"]][["jointseg"]] <- + jointseg::jointSeg(mean_data_3, K = 2)$bestBkp +``` + +```{r multivariate-mean-change-jointseg-result} +results[["mean_data_3"]][["jointseg"]] +``` + +```{r multivariate-mean-change-jointseg-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_3"]][["jointseg"]], c(300, 700), tolerance = 0.2) +``` + +```{r multivariate-mean-change-Rbeast, eval = FALSE} +results[["mean_data_3"]][["Rbeast"]] <- + Rbeast::beast123( + mean_data_3, + metadata = list(whichDimIsTime = 1), + season = "none" + )$trend$cp +``` + +```{r multivariate-mean-change-Rbeast-result} +results[["mean_data_3"]][["Rbeast"]] +``` + +```{r multivariate-mean-change-Rbeast-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_3"]][["Rbeast"]], matrix(c( + 301, 701, 301, + 701, 301, 701, + 142, 117, 926, + 305, NaN, NaN, + 705, NaN, NaN, + 694, NaN, NaN, + NaN, NaN, NaN, + NaN, NaN, NaN, + NaN, NaN, NaN, + NaN, NaN, NaN +), nrow = 10, ncol = 3, byrow = TRUE), tolerance = 0.2) +``` + +```{r multivariate-mean-change-strucchange, eval = FALSE} +results[["mean_data_3"]][["strucchange"]] <- + strucchange::breakpoints( + cbind(y.1, y.2, y.3) ~ 1, data = data.frame(y = mean_data_3) + )$breakpoints +``` + +```{r multivariate-mean-change-strucchange-result} +results[["mean_data_3"]][["strucchange"]] +``` + +```{r multivariate-mean-change-strucchange-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_3"]][["strucchange"]], c(300, 700), tolerance = 0.2) +``` + +```{r multivariate-mean-change-ecp, eval = FALSE} +results[["mean_data_3"]][["ecp"]] <- ecp::e.divisive(mean_data_3)$estimates +``` + +```{r multivariate-mean-change-ecp-result} +results[["mean_data_3"]][["ecp"]] +``` + +```{r multivariate-mean-change-ecp-testthat, include = FALSE} +testthat::expect_equal(results[["mean_data_3"]][["ecp"]], c(1, 301, 701, 1001), tolerance = 0.2) +``` + +```{r multivariate-mean-change-bcp, eval = FALSE} +results[["mean_data_3"]][["bcp"]] <- bcp::bcp(mean_data_3) +``` + +```{r multivariate-mean-change-bcp-result} +if (requireNamespace("bcp", quietly = TRUE)) { + plot(results[["mean_data_3"]][["bcp"]]) +} +``` + +# Multivariate mean and/or variance change + +The true change points are 300, 700, 1000, 1300 and 1700. +Some methods are plotted due to the un-retrievable change points. + +```{r multivariate-mean-and-or-variance-change-fastcpd, eval = FALSE} +results[["mv_data_3"]][["fastcpd"]] <- + fastcpd::fastcpd.mv(mv_data_3, r.progress = FALSE)@cp_set +``` + +```{r multivariate-mean-and-or-variance-change-fastcpd-result} +results[["mv_data_3"]][["fastcpd"]] +``` + +```{r multivariate-mean-and-or-variance-change-fastcpd-testthat, include = FALSE} +testthat::expect_equal(results[["mv_data_3"]][["fastcpd"]], c(300, 700, 1000, 1300, 1700), tolerance = 0.2) +``` + +```{r multivariate-mean-and-or-variance-change-ecp, eval = FALSE} +results[["mv_data_3"]][["ecp"]] <- ecp::e.divisive(mv_data_3)$estimates +``` + +```{r multivariate-mean-and-or-variance-change-ecp-result} +results[["mv_data_3"]][["ecp"]] +``` + +```{r multivariate-mean-and-or-variance-change-ecp-testthat, include = FALSE} +testthat::expect_equal(results[["mv_data_3"]][["ecp"]], c(1, 301, 701, 1001, 1301, 1701, 2001), tolerance = 0.2) +``` + +```{r multivariate-mean-and-or-variance-change-InspectChangepoint, eval = FALSE} +results[["mv_data_3"]][["InspectChangepoint"]] <- InspectChangepoint::inspect( + t(mv_data_3), + threshold = InspectChangepoint::compute.threshold( + nrow(mv_data_3), ncol(mv_data_3) + ) +)$changepoints[, "location"] +``` + +```{r multivariate-mean-and-or-variance-change-InspectChangepoint-result} +results[["mv_data_3"]][["InspectChangepoint"]] +``` + +```{r multivariate-mean-and-or-variance-change-InspectChangepoint-testthat, include = FALSE} +testthat::expect_equal(results[["mv_data_3"]][["InspectChangepoint"]], c( + 300, 700, 701, 703, 705, 707, 708, 709, 711, 712, 714, 715, + 717, 718, 720, 721, 723, 724, 726, 727, 729, 731, 733, 734, + 736, 737, 739, 740, 742, 743, 744, 746, 747, 749, 750, 752, + 753, 754, 755, 756, 758, 760, 762, 763, 765, 766, 767, 769, + 770, 772, 773, 774, 775, 777, 779, 780, 782, 784, 786, 788, + 790, 791, 793, 795, 797, 799, 801, 803, 804, 806, 809, 810, + 811, 813, 814, 816, 817, 818, 820, 821, 823, 825, 827, 828, + 830, 831, 833, 835, 836, 837, 838, 840, 842, 843, 845, 846, + 848, 849, 850, 852, 853, 854, 855, 856, 858, 859, 860, 862, + 863, 865, 866, 868, 869, 871, 872, 874, 876, 877, 878, 879, + 881, 883, 885, 887, 888, 889, 891, 893, 894, 895, 897, 898, + 900, 901, 903, 904, 906, 908, 909, 911, 913, 914, 916, 917, + 918, 920, 921, 923, 924, 925, 927, 928, 929, 931, 932, 934, + 936, 937, 938, 939, 941, 942, 943, 945, 946, 947, 949, 950, + 952, 954, 955, 956, 957, 958, 959, 961, 962, 964, 965, 967, + 968, 970, 972, 973, 974, 975, 977, 979, 981, 982, 984, 985, + 986, 987, 988, 990, 991, 992, 994, 995, 997, 999, 1000, 1300, + 1700, 1702, 1703, 1704, 1705, 1706, 1708, 1709, 1710, 1712, 1713, 1714, + 1715, 1717, 1719, 1721, 1722, 1723, 1725, 1727, 1729, 1730, 1732, 1734, + 1735, 1737, 1738, 1739, 1741, 1742, 1744, 1746, 1748, 1750, 1752, 1753, + 1754, 1755, 1757, 1758, 1759, 1761, 1762, 1763, 1764, 1766, 1767, 1769, + 1770, 1771, 1773, 1774, 1775, 1777, 1779, 1781, 1782, 1783, 1785, 1786, + 1788, 1789, 1791, 1793, 1794, 1796, 1798, 1800, 1803, 1804, 1805, 1806, + 1808, 1809, 1811, 1812, 1814, 1815, 1817, 1818, 1819, 1821, 1822, 1824, + 1825, 1827, 1828, 1829, 1831, 1833, 1835, 1836, 1838, 1839, 1841, 1843, + 1844, 1846, 1847, 1848, 1850, 1851, 1853, 1854, 1856, 1857, 1858, 1859, + 1860, 1862, 1863, 1864, 1865, 1867, 1869, 1870, 1872, 1873, 1874, 1876, + 1878, 1879, 1881, 1882, 1884, 1885, 1887, 1889, 1891, 1893, 1894, 1896, + 1898, 1899, 1900, 1901, 1902, 1904, 1906, 1907, 1909, 1911, 1913, 1914, + 1916, 1917, 1918, 1919, 1921, 1923, 1924, 1925, 1927, 1928, 1930, 1932, + 1933, 1935, 1936, 1938, 1939, 1941, 1942, 1944, 1946, 1948, 1950, 1951, + 1952, 1954, 1956, 1957, 1959, 1961, 1963, 1965, 1967, 1968, 1970, 1972, + 1973, 1974, 1976, 1977, 1979, 1981, 1982, 1984, 1985, 1987, 1989, 1990, + 1992, 1993, 1995, 1996, 1998 +), tolerance = 0.2) +``` + +```{r multivariate-mean-and-or-variance-change-Rbeast, eval = FALSE} +results[["mv_data_3"]][["Rbeast"]] <- + Rbeast::beast123( + mv_data_3, + metadata = list(whichDimIsTime = 1), + season = "none" + )$trend$cp +``` + +```{r multivariate-mean-and-or-variance-change-Rbeast-result} +results[["mv_data_3"]][["Rbeast"]] +``` + +```{r multivariate-mean-and-or-variance-change-Rbeast-testthat, include = FALSE} +testthat::expect_equal(results[["mv_data_3"]][["Rbeast"]], matrix(c( + 701, 1301, 301, 1301, + 1301, 301, 1301, 710, + 301, 701, 1829, 301, + 1968, 1993, 702, 886, + 1994, 884, 1822, 1975, + 814, 755, 810, 1915, + 1962, 781, 845, 778, + 1978, 767, 1738, 1985, + 1870, 747, 1754, 792, + 1843, 722, 771, 953 +), nrow = 10, ncol = 4, byrow = TRUE), tolerance = 0.2) +``` + +# Linear regression + +The true change points are 100 and 200. + +```{r linear-regression-fastcpd, eval = FALSE} +results[["lm_data"]][["fastcpd"]] <- + fastcpd::fastcpd.lm(lm_data, r.progress = FALSE)@cp_set +``` + +```{r linear-regression-fastcpd-result} +results[["lm_data"]][["fastcpd"]] +``` + +```{r linear-regression-fastcpd-testthat, include = FALSE} +testthat::expect_equal(results[["lm_data"]][["fastcpd"]], c(97, 201), tolerance = 0.2) +``` + +```{r linear-regression-strucchange, eval = FALSE} +results[["lm_data"]][["strucchange"]] <- + strucchange::breakpoints(y ~ . - 1, data = lm_data)$breakpoints +``` + +```{r linear-regression-strucchange-result} +results[["lm_data"]][["strucchange"]] +``` + +```{r linear-regression-strucchange-testthat, include = FALSE} +testthat::expect_equal(results[["lm_data"]][["strucchange"]], c(100, 201), tolerance = 0.2) +``` + +```{r linear-regression-segmented, eval = FALSE} +results[["lm_data"]][["segmented"]] <- + segmented::segmented( + lm( + y ~ . - 1, data.frame(y = lm_data$y, x = lm_data[, -1], index = seq_len(nrow(lm_data))) + ), + seg.Z = ~ index + )$psi[, "Est."] +``` + +```{r linear-regression-segmented-result} +results[["lm_data"]][["segmented"]] +``` + +```{r linear-regression-segmented-testthat, include = FALSE} +testthat::expect_equal(results[["lm_data"]][["segmented"]], c(233), ignore_attr = TRUE, tolerance = 0.2) +``` + +# Logistic regression + +The true change point is 300. + +```{r logistic-regression-fastcpd, eval = FALSE} +results[["binomial_data"]][["fastcpd"]] <- + fastcpd::fastcpd.binomial(binomial_data, r.progress = FALSE)@cp_set +``` + +```{r logistic-regression-fastcpd-result} +results[["binomial_data"]][["fastcpd"]] +``` + +```{r logistic-regression-fastcpd-testthat, include = FALSE} +testthat::expect_equal(results[["binomial_data"]][["fastcpd"]], 302, tolerance = 0.2) +``` + +```{r logistic-regression-strucchange, eval = FALSE} +results[["binomial_data"]][["strucchange"]] <- + strucchange::breakpoints(y ~ . - 1, data = binomial_data)$breakpoints +``` + +```{r logistic-regression-strucchange-result} +results[["binomial_data"]][["strucchange"]] +``` + +```{r logistic-regression-strucchange-testthat, include = FALSE} +testthat::expect_equal(results[["binomial_data"]][["strucchange"]], 297, tolerance = 0.2) +``` + +# Poisson regression + +The true change points are 500, 800 and 1000. + +```{r poisson-regression-fastcpd, eval = FALSE} +results[["poisson_data"]][["fastcpd"]] <- + fastcpd::fastcpd.poisson(poisson_data, r.progress = FALSE)@cp_set +``` + +```{r poisson-regression-fastcpd-result} +results[["poisson_data"]][["fastcpd"]] +``` + +```{r poisson-regression-fastcpd-testthat, include = FALSE} +testthat::expect_equal(results[["poisson_data"]][["fastcpd"]], c(498, 805, 1003), tolerance = 0.2) +``` + +```{r poisson-regression-strucchange, eval = FALSE} +results[["poisson_data"]][["strucchange"]] <- + strucchange::breakpoints(y ~ . - 1, data = poisson_data)$breakpoints +``` + +```{r poisson-regression-strucchange-result} +results[["poisson_data"]][["strucchange"]] +``` + +```{r poisson-regression-strucchange-testthat, include = FALSE} +testthat::expect_equal(results[["poisson_data"]][["strucchange"]], 935, tolerance = 0.2) +``` + +# Lasso + +The true change points are 80, 200 and 320. + +```{r lasso-fastcpd, eval = FALSE} +results[["lasso_data"]][["fastcpd"]] <- + fastcpd::fastcpd.lasso(lasso_data, r.progress = FALSE)@cp_set +``` + +```{r lasso-fastcpd-result} +results[["lasso_data"]][["fastcpd"]] +``` + +```{r lasso-fastcpd-testthat, include = FALSE} +testthat::expect_equal(results[["lasso_data"]][["fastcpd"]], c(79, 199, 320), tolerance = 0.2) +``` + +```{r lasso-strucchange, eval = FALSE} +results[["lasso_data"]][["strucchange"]] <- + strucchange::breakpoints(y ~ . - 1, data = lasso_data)$breakpoints +``` + +```{r lasso-strucchange-result} +results[["lasso_data"]][["strucchange"]] +``` + +```{r lasso-strucchange-testthat, include = FALSE} +testthat::expect_equal(results[["lasso_data"]][["strucchange"]], c(80, 200, 321), tolerance = 0.2) +``` + +# AR(3) + +The true change point is 600. +Some methods are plotted due to the un-retrievable change points. + +```{r ar3-fastcpd, eval = FALSE} +results[["ar_data"]][["fastcpd"]] <- + fastcpd::fastcpd.ar(ar_data, 3, r.progress = FALSE)@cp_set +``` + +```{r ar3-fastcpd-result} +results[["ar_data"]][["fastcpd"]] +``` + +```{r ar3-fastcpd-testthat, include = FALSE} +testthat::expect_equal(results[["ar_data"]][["fastcpd"]], c(614), tolerance = 0.2) +``` + +```{r ar3-CptNonPar, eval = FALSE} +results[["ar_data"]][["CptNonPar"]] <- + CptNonPar::np.mojo(ar_data, G = floor(length(ar_data) / 6))$cpts +``` + +```{r ar3-CptNonPar-result} +results[["ar_data"]][["CptNonPar"]] +``` + +```{r ar3-CptNonPar-testthat, include = FALSE} +testthat::expect_equal(results[["ar_data"]][["CptNonPar"]], numeric(0), tolerance = 0.2) +``` + +```{r ar3-segmented, eval = FALSE} +results[["ar_data"]][["segmented"]] <- + segmented::segmented( + lm( + y ~ x + 1, data.frame(y = ar_data, x = seq_along(ar_data)) + ), + seg.Z = ~ x + )$psi[, "Est."] +``` + +```{r ar3-segmented-result} +results[["ar_data"]][["segmented"]] +``` + +```{r ar3-segmented-testthat, include = FALSE} +testthat::expect_equal(results[["ar_data"]][["segmented"]], c(690), ignore_attr = TRUE, tolerance = 0.2) +``` + +```{r ar3-mcp, eval = FALSE} +results[["ar_data"]][["mcp"]] <- + mcp::mcp( + list(y ~ 1 + ar(3), ~ 0 + ar(3)), + data = data.frame(y = ar_data, x = seq_along(ar_data)), + par_x = "x" + ) +``` + +```{r ar3-mcp-result} +if (requireNamespace("mcp", quietly = TRUE)) { + plot(results[["ar_data"]][["mcp"]]) +} +``` + +# GARCH(1, 1) + +The true change point is 200. + +```{r garch11-fastcpd, eval = FALSE} +results[["garch_data"]][["fastcpd"]] <- + fastcpd::fastcpd.garch(garch_data, c(1, 1), r.progress = FALSE)@cp_set +``` + +```{r garch11-fastcpd-result} +results[["garch_data"]][["fastcpd"]] +``` + +```{r garch11-fastcpd-testthat, include = FALSE} +testthat::expect_equal(results[["garch_data"]][["fastcpd"]], c(205), tolerance = 0.2) +``` + +```{r garch11-CptNonPar, eval = FALSE} +results[["garch_data"]][["CptNonPar"]] <- + CptNonPar::np.mojo(garch_data, G = floor(length(garch_data) / 6))$cpts +``` + +```{r garch11-CptNonPar-result} +results[["garch_data"]][["CptNonPar"]] +``` + +```{r garch11-CptNonPar-testthat, include = FALSE} +testthat::expect_equal(results[["garch_data"]][["CptNonPar"]], c(206), tolerance = 0.2) +``` + +```{r garch11-strucchange, eval = FALSE} +results[["garch_data"]][["strucchange"]] <- + strucchange::breakpoints(x ~ 1, data = data.frame(x = garch_data))$breakpoints +``` + +```{r garch11-strucchange-result} +results[["garch_data"]][["strucchange"]] +``` + +```{r garch11-strucchange-testthat, include = FALSE} +testthat::expect_equal(results[["garch_data"]][["strucchange"]], NA, tolerance = 0.2) +``` + +# VAR(2) + +The true change points is 500. + +```{r var2-fastcpd, eval = FALSE} +results[["var_data"]][["fastcpd"]] <- + fastcpd::fastcpd.var(var_data, 2, r.progress = FALSE)@cp_set +``` + +```{r var2-fastcpd-result} +results[["var_data"]][["fastcpd"]] +``` + +```{r var2-fastcpd-testthat, include = FALSE} +testthat::expect_equal(results[["var_data"]][["fastcpd"]], c(500), tolerance = 0.2) +``` + +```{r var2-VARDetect, eval = FALSE} +results[["var_data"]][["VARDetect"]] <- VARDetect::tbss(var_data)$cp +``` + +```{r var2-VARDetect-result} +results[["var_data"]][["VARDetect"]] +``` + +```{r var2-VARDetect-testthat, include = FALSE} +testthat::expect_equal(results[["var_data"]][["VARDetect"]], c(501), tolerance = 0.2) +``` + +# Detection comparison using `well_log` + +```{r detection-comparison-well-log-setup} +well_log <- fastcpd::well_log +``` + +```{r detection-comparison-well-log, eval = FALSE} +well_log <- well_log[well_log > 1e5] + +results[["well_log"]] <- list( + fastcpd = fastcpd.mean(well_log, trim = 0.003)@cp_set, + changepoint = changepoint::cpt.mean(well_log)@cpts, + CptNonPar = + CptNonPar::np.mojo(well_log, G = floor(length(well_log) / 6))$cpts, + strucchange = strucchange::breakpoints( + y ~ 1, data = data.frame(y = well_log) + )$breakpoints, + ecp = ecp::e.divisive(matrix(well_log))$estimates, + breakfast = breakfast::breakfast(well_log)$cptmodel.list[[6]]$cpts, + wbs = wbs::wbs(well_log)$cpt$cpt.ic$mbic.penalty, + mosum = mosum::mosum(c(well_log), G = 40)$cpts.info$cpts, + # fpop = fpop::Fpop(well_log, length(well_log))$t.est, # meaningless + gfpop = gfpop::gfpop( + data = well_log, + mygraph = gfpop::graph( + penalty = 2 * log(length(well_log)) * gfpop::sdDiff(well_log) ^ 2, + type = "updown" + ), + type = "mean" + )$changepoints, + InspectChangepoint = InspectChangepoint::inspect( + well_log, + threshold = InspectChangepoint::compute.threshold(length(well_log), 1) + )$changepoints[, "location"], + jointseg = jointseg::jointSeg(well_log, K = 12)$bestBkp, + Rbeast = Rbeast::beast( + well_log, season = "none", print.progress = FALSE, quiet = TRUE + )$trend$cp, + stepR = stepR::stepFit(well_log, alpha = 0.5)$rightEnd +) +``` + +```{r detection-comparison-well-log-result} +results[["well_log"]] +``` + +```{r detection-comparison-well-log-most-selected} +package_list <- sort(names(results[["well_log"]]), decreasing = TRUE) +comparison_table <- NULL +for (package_index in seq_along(package_list)) { + package <- package_list[[package_index]] + comparison_table <- rbind( + comparison_table, + data.frame( + change_point = results[["well_log"]][[package]], + package = package, + y_offset = (package_index - 1) * 1000 + ) + ) +} + +most_selected <- sort(table(comparison_table$change_point), decreasing = TRUE) +most_selected <- sort(as.numeric(names(most_selected[most_selected >= 4]))) +for (i in seq_len(length(most_selected) - 1)) { + if (most_selected[i + 1] - most_selected[i] < 2) { + most_selected[i] <- NA + most_selected[i + 1] <- most_selected[i + 1] - 0.5 + } +} +(most_selected <- most_selected[!is.na(most_selected)]) +``` + +```{r detection-comparison-well-log-plot} +if (requireNamespace("ggplot2", quietly = TRUE)) { + ggplot2::ggplot() + + ggplot2::geom_point( + data = data.frame(x = seq_along(well_log), y = c(well_log)), + ggplot2::aes(x = x, y = y) + ) + + ggplot2::geom_vline( + xintercept = most_selected, + color = "black", + linetype = "dashed", + alpha = 0.2 + ) + + ggplot2::geom_point( + data = comparison_table, + ggplot2::aes(x = change_point, y = 50000 + y_offset, color = package), + shape = 17, + size = 1.9 + ) + + ggplot2::geom_hline( + data = comparison_table, + ggplot2::aes(yintercept = 50000 + y_offset, color = package), + linetype = "dashed", + alpha = 0.1 + ) + + ggplot2::coord_cartesian( + ylim = c(50000 - 500, max(well_log) + 1000), + xlim = c(-200, length(well_log) + 200), + expand = FALSE + ) + + ggplot2::theme( + panel.background = ggplot2::element_blank(), + panel.border = ggplot2::element_rect(colour = "black", fill = NA), + panel.grid.major = ggplot2::element_blank(), + panel.grid.minor = ggplot2::element_blank() + ) + + ggplot2::xlab(NULL) + ggplot2::ylab(NULL) +} +``` + +# Time comparison using `well_log` + +```{r time-comparison-well-log, eval = FALSE} +results[["microbenchmark"]] <- microbenchmark::microbenchmark( + fastcpd = fastcpd::fastcpd.mean(well_log, trim = 0.003, r.progress = FALSE), + changepoint = changepoint::cpt.mean(well_log, method = "PELT"), + CptNonPar = CptNonPar::np.mojo(well_log, G = floor(length(well_log) / 6)), + strucchange = + strucchange::breakpoints(y ~ 1, data = data.frame(y = well_log)), + ecp = ecp::e.divisive(matrix(well_log)), + breakfast = breakfast::breakfast(well_log), + wbs = wbs::wbs(well_log), + mosum = mosum::mosum(c(well_log), G = 40), + fpop = fpop::Fpop(well_log, nrow(well_log)), + gfpop = gfpop::gfpop( + data = well_log, + mygraph = gfpop::graph( + penalty = 2 * log(length(well_log)) * gfpop::sdDiff(well_log) ^ 2, + type = "updown" + ), + type = "mean" + ), + InspectChangepoint = InspectChangepoint::inspect( + well_log, + threshold = InspectChangepoint::compute.threshold(length(well_log), 1) + ), + jointseg = jointseg::jointSeg(well_log, K = 12), + Rbeast = Rbeast::beast( + well_log, season = "none", print.progress = FALSE, quiet = TRUE + ), + stepR = stepR::stepFit(well_log, alpha = 0.5), + not = not::not(well_log, contrast = "pcwsConstMean"), + times = 10 +) +``` + +```{r time-comparison-well-log-result} +results[["microbenchmark"]] +``` + +```{r time-comparison-well-log-plot} +if (requireNamespace("ggplot2", quietly = TRUE) && requireNamespace("microbenchmark", quietly = TRUE)) { + ggplot2::autoplot(results[["microbenchmark"]]) +} +``` + +# Notes + +This document is generated by the following code: + +```shell +R -e 'knitr::knit("vignettes/comparison-packages.Rmd.original", output = "vignettes/comparison-packages.Rmd")' && rm -rf vignettes/figure && mv -f figure vignettes +``` + +# Related issues + +- `mosum`: [[#4](https://github.com/doccstat/fastcpd/issues/4)]. +- `mcp`: [link 1](https://github.com/doccstat/fastcpd/actions/runs/7272426093/job/19814531091) + and [link 2](https://github.com/doccstat/fastcpd/actions/runs/7272426093/job/19814531284). +- `bcp`: [[#5](https://github.com/doccstat/fastcpd/issues/5)]. +- `gfpop`: [[#10](https://github.com/doccstat/fastcpd/issues/10)]. + +# Acknowledgements + +- [Dr. Vito Muggeo](https://www.unipa.it/persone/docenti/m/vito.muggeo), + author of the `segmented` package for the tips about the piece-wise + constant function. + +# Appendix: all code snippets + +```{r save-results, include = FALSE} +if (!file.exists("comparison-packages-results.RData")) { + save(results, file = "comparison-packages-results.RData") +} +``` + +```{r ref.label = knitr::all_labels(), echo = TRUE, eval = FALSE} +``` diff --git a/vignettes/figure/ar3-mcp-result-1.png 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