From 423691e5a1c76a3be9f4992f6448d3e11a4d858b Mon Sep 17 00:00:00 2001 From: Florian Lecocq Date: Mon, 5 Aug 2019 21:12:47 +0200 Subject: [PATCH] Replace 'cat()' by 'message()' emMixHMM.R, emMixHMMR.R, emMixRHLP.R: Replace 'cat()' by 'message()'. Thus messages can be suppressed if needed. --- DESCRIPTION | 2 +- R/cemMixRHLP.R | 10 +- R/emMixHMM.R | 10 +- R/emMixHMMR.R | 10 +- R/emMixRHLP.R | 10 +- R/flamingos-package.R | 8 +- R/kmeans.R | 4 +- README.Rmd | 6 +- README.md | 184 +++++++++++++++++------ flamingos_0.1.0.pdf | Bin 213506 -> 213513 bytes man/figures/README-unnamed-chunk-6-1.png | Bin 132145 -> 131399 bytes man/figures/README-unnamed-chunk-6-2.png | Bin 98230 -> 91590 bytes man/figures/README-unnamed-chunk-6-3.png | Bin 85989 -> 85996 bytes man/figures/README-unnamed-chunk-6-4.png | Bin 76646 -> 81943 bytes man/figures/README-unnamed-chunk-6-5.png | Bin 26722 -> 26675 bytes man/figures/README-unnamed-chunk-7-1.png | Bin 266615 -> 265356 bytes man/figures/README-unnamed-chunk-7-2.png | Bin 137267 -> 137010 bytes man/figures/README-unnamed-chunk-7-3.png | Bin 26452 -> 26475 bytes man/figures/README-unnamed-chunk-8-1.png | Bin 267410 -> 265356 bytes man/figures/README-unnamed-chunk-8-2.png | Bin 133705 -> 131854 bytes man/figures/README-unnamed-chunk-8-3.png | Bin 25064 -> 25051 bytes man/flamingos-package.Rd | 8 +- vignettes/A-quick-tour-of-mixHMM.Rmd | 2 +- vignettes/A-quick-tour-of-mixHMMR.Rmd | 2 +- vignettes/A-quick-tour-of-mixRHLP.Rmd | 2 +- 25 files changed, 173 insertions(+), 85 deletions(-) diff --git a/DESCRIPTION b/DESCRIPTION index b22c3cd..8936589 100644 --- a/DESCRIPTION +++ b/DESCRIPTION @@ -16,7 +16,7 @@ Description: Provides a variety of original and flexible user-friendly segmentation of heterogeneous functional data (i.e time series, or more generally longitudinal data, fitted by unsupervised algorithms, including EM algorithms. Functional Latent Data Models for Clustering heterogeneous - curves ('FLaMingos') are originally introduced and written in Matlab by + curves ('FLaMingos') are originally introduced and written in 'Matlab' by Faicel Chamroukhi . The references are mainly the following ones. diff --git a/R/cemMixRHLP.R b/R/cemMixRHLP.R index 5b9ef18..89b8b65 100644 --- a/R/cemMixRHLP.R +++ b/R/cemMixRHLP.R @@ -75,7 +75,7 @@ cemMixRHLP <- function(X, Y, K, R, p = 3, q = 1, variance_type = c("heteroskedas while (try_CEM < n_tries) { try_CEM <- try_CEM + 1 if (n_tries > 1 && verbose) { - cat(paste0("EM try number: ", try_CEM, "\n\n")) + message("EM try number: ", try_CEM, "\n") } # Initialization @@ -103,11 +103,11 @@ cemMixRHLP <- function(X, Y, K, R, p = 3, q = 1, variance_type = c("heteroskedas iter <- iter + 1 if (verbose) { - cat(paste0("CEM - mixRHLP: Iteration: ", iter, " | Complete log-likelihood: " , stat$com_loglik, "\n")) + message("CEM - mixRHLP: Iteration: ", iter, " | Complete log-likelihood: " , stat$com_loglik) } if (prev_com_loglik - stat$com_loglik > 1e-5) { - warning(paste0("CEM complete log-likelihood is decreasing from ", prev_com_loglik, "to ", stat$com_loglik, " !")) + warning("CEM complete log-likelihood is decreasing from ", prev_com_loglik, "to ", stat$com_loglik, " !") top <- top + 1 if (top > 20) break @@ -129,12 +129,12 @@ cemMixRHLP <- function(X, Y, K, R, p = 3, q = 1, variance_type = c("heteroskedas best_com_loglik <- stat$com_loglik } if (n_tries > 1 && verbose) { - cat(paste0("Max value of the complete log-likelihood: ", stat$com_loglik, "\n\n")) + message("Max value of the complete log-likelihood: ", stat$com_loglik, "\n\n") } } if (n_tries > 1 && verbose) { - cat(paste0("Best value of the complete log-likelihood: ", statSolution$com_loglik, "\n")) + message("Best value of the complete log-likelihood: ", statSolution$com_loglik, "\n") } statSolution$computeStats(paramSolution) diff --git a/R/emMixHMM.R b/R/emMixHMM.R index 517fb20..2dba480 100755 --- a/R/emMixHMM.R +++ b/R/emMixHMM.R @@ -66,7 +66,7 @@ emMixHMM <- function(Y, K, R, variance_type = c("heteroskedastic", "homoskedasti try_EM <- try_EM + 1 if (n_tries > 1 && verbose) { - cat(paste0("EM try number: ", try_EM, "\n\n")) + message("EM try number: ", try_EM, "\n") } # Initialization @@ -93,11 +93,11 @@ emMixHMM <- function(Y, K, R, variance_type = c("heteroskedastic", "homoskedasti iter <- iter + 1 if (verbose) { - cat(paste0("EM - mixHMMs: Iteration: ", iter, " | log-likelihood: " , stat$loglik, "\n")) + message("EM - mixHMMs: Iteration: ", iter, " | log-likelihood: " , stat$loglik) } if (prev_loglik - stat$loglik > 1e-4) { - warning(paste0("EM log-likelihood is decreasing from ", prev_loglik, "to ", stat$loglik, " !")) + warning("EM log-likelihood is decreasing from ", prev_loglik, "to ", stat$loglik, " !") } converged <- (abs((stat$loglik - prev_loglik) / prev_loglik) <= threshold) @@ -118,13 +118,13 @@ emMixHMM <- function(Y, K, R, variance_type = c("heteroskedastic", "homoskedasti } if (n_tries > 1 && verbose) { - cat(paste0("Max value of the log-likelihood: ", stat$loglik, "\n\n")) + message("Max value of the log-likelihood: ", stat$loglik, "\n\n") } } if (n_tries > 1 && verbose) { - cat(paste0("Best value of the log-likelihood: ", statSolution$loglik, "\n\n")) + message("Best value of the log-likelihood: ", statSolution$loglik, "\n") } # Finding the curve partition by using the MAP rule diff --git a/R/emMixHMMR.R b/R/emMixHMMR.R index 003d8da..a5d20c1 100755 --- a/R/emMixHMMR.R +++ b/R/emMixHMMR.R @@ -68,7 +68,7 @@ emMixHMMR <- function(X, Y, K, R, p = 3, variance_type = c("heteroskedastic", "h while (try_EM < n_tries) { try_EM <- try_EM + 1 if (n_tries > 1 && verbose) { - cat(paste0("EM try number: ", try_EM, "\n\n")) + message("EM try number: ", try_EM, "\n") } # Initialization @@ -95,11 +95,11 @@ emMixHMMR <- function(X, Y, K, R, p = 3, variance_type = c("heteroskedastic", "h iter <- iter + 1 if (verbose) { - cat(paste0("EM - mixHMMR: Iteration: ", iter, " || log-likelihood: " , stat$loglik, "\n")) + message("EM - mixHMMR: Iteration: ", iter, " || log-likelihood: " , stat$loglik) } if (prev_loglik - stat$loglik > 1e-4) { - warning(paste0("EM log-likelihood is decreasing from ", prev_loglik, "to ", stat$loglik, " !")) + warning("EM log-likelihood is decreasing from ", prev_loglik, "to ", stat$loglik, " !") } converged <- (abs((stat$loglik - prev_loglik) / prev_loglik) < threshold) @@ -120,13 +120,13 @@ emMixHMMR <- function(X, Y, K, R, p = 3, variance_type = c("heteroskedastic", "h } if (n_tries > 1 && verbose) { - cat(paste0("Max value of the log-likelihood: ", stat$loglik, "\n\n")) + message("Max value of the log-likelihood: ", stat$loglik, "\n\n") } } if (n_tries > 1 && verbose) { - cat(paste0("Best value of the log-likelihood: ", statSolution$loglik, "\n")) + message("Best value of the log-likelihood: ", statSolution$loglik, "\n") } # Finding the curve partition by using the MAP rule diff --git a/R/emMixRHLP.R b/R/emMixRHLP.R index 29c41ad..bdb0683 100644 --- a/R/emMixRHLP.R +++ b/R/emMixRHLP.R @@ -73,7 +73,7 @@ emMixRHLP <- function(X, Y, K, R, p = 3, q = 1, variance_type = c("heteroskedast while (try_EM < n_tries) { try_EM <- try_EM + 1 if (n_tries > 1 && verbose) { - cat(paste0("EM try number: ", try_EM, "\n\n")) + message("EM try number: ", try_EM, "\n") } # Initialization @@ -94,11 +94,11 @@ emMixRHLP <- function(X, Y, K, R, p = 3, q = 1, variance_type = c("heteroskedast iter <- iter + 1 if (verbose) { - cat(paste0("EM - mixRHLP: Iteration: ", iter, " | log-likelihood: " , stat$loglik, "\n")) + message("EM - mixRHLP: Iteration: ", iter, " | log-likelihood: " , stat$loglik) } if (prev_loglik - stat$loglik > 1e-5) { - warning(paste0("EM log-likelihood is decreasing from ", prev_loglik, "to ", stat$loglik, " !")) + warning("EM log-likelihood is decreasing from ", prev_loglik, "to ", stat$loglik, " !") top <- top + 1 if (top > 20) { break @@ -122,7 +122,7 @@ emMixRHLP <- function(X, Y, K, R, p = 3, q = 1, variance_type = c("heteroskedast } if (n_tries > 1 && verbose) { - cat(paste0("Max value of the log-likelihood: ", stat$loglik, "\n\n")) + message("Max value of the log-likelihood: ", stat$loglik, "\n\n") } } @@ -130,7 +130,7 @@ emMixRHLP <- function(X, Y, K, R, p = 3, q = 1, variance_type = c("heteroskedast statSolution$MAP() if (n_tries > 1 && verbose) { - cat(paste0("Best value of the log-likelihood: ", statSolution$loglik, "\n")) + message("Best value of the log-likelihood: ", statSolution$loglik, "\n") } statSolution$computeStats(paramSolution) diff --git a/R/flamingos-package.R b/R/flamingos-package.R index bfbf3f2..24f9672 100644 --- a/R/flamingos-package.R +++ b/R/flamingos-package.R @@ -1,9 +1,9 @@ #' FLaMingos: Functional Latent datA Models for clusterING heterogeneOus curveS #' -#' @description `flamingos` is an open-source toolbox for the simultaneous clustering (or -#' classification) and segmentation of heterogeneous functional data (i.e -#' time-series ore more generally longitudinal data), with original and -#' flexible functional latent variable models, fitted by unsupervised +#' @description `flamingos` is an open-source toolbox for the simultaneous +#' clustering (or classification) and segmentation of heterogeneous functional +#' data (i.e time-series ore more generally longitudinal data), with original +#' and flexible functional latent variable models, fitted by unsupervised #' algorithms, including EM algorithms. #' #' `flamingos` contains the following time series clustering and segmentation models: diff --git a/R/kmeans.R b/R/kmeans.R index e23877d..521108f 100644 --- a/R/kmeans.R +++ b/R/kmeans.R @@ -28,7 +28,7 @@ kmeans = function(X, K, nbr_runs = 20, nbr_iter_max = 300, verbose = FALSE) { while (nb_run < nbr_runs) { nb_run = nb_run + 1 if (nbr_runs > 0 && verbose) { - cat(sprintf("Kmeans : run n?? %1i", nb_run), "\n") + message(sprintf("Kmeans : run # %1i", nb_run), "\n") } iter = 0 @@ -91,7 +91,7 @@ kmeans = function(X, K, nbr_runs = 20, nbr_iter_max = 300, verbose = FALSE) { previous_err = current_err if (verbose) { - cat(sprintf("Kmeans : Iteration %1.1i, Objective %2.2f", iter, current_err), "\n") + message(sprintf("Kmeans : Iteration %1.1i, Objective %2.2f", iter, current_err), "\n") } solution$stored_err = cbind(solution$stored_err, current_err) } diff --git a/README.Rmd b/README.Rmd index 67a1bc7..aa18d39 100644 --- a/README.Rmd +++ b/README.Rmd @@ -71,7 +71,7 @@ library(flamingos)
mixRHLP -```{r, message = FALSE} +```{r, echo=TRUE} data("toydataset") x <- toydataset$x Y <- t(toydataset[,2:ncol(toydataset)]) @@ -102,7 +102,7 @@ mixrhlp$plot()
mixHMM -```{r, message = FALSE} +```{r, echo=TRUE} data("toydataset") Y <- t(toydataset[,2:ncol(toydataset)]) @@ -130,7 +130,7 @@ mixhmm$plot()
mixHMMR -```{r, message = FALSE} +```{r, echo=TRUE} data("toydataset") x <- toydataset$x Y <- t(toydataset[,2:ncol(toydataset)]) diff --git a/README.md b/README.md index 5f0e9a9..1ca754b 100644 --- a/README.md +++ b/README.md @@ -1,32 +1,42 @@ + -[![Travis build status](https://travis-ci.org/fchamroukhi/FLaMingos.svg?branch=master)](https://travis-ci.org/fchamroukhi/FLaMingos) -**FLaMingos**: **F**unctional **L**atent dat**A** **M**odels for cluster**ING** heterogene**O**us curve**S** -============================================================================================================ +[![Travis build +status](https://travis-ci.org/fchamroukhi/FLaMingos.svg?branch=master)](https://travis-ci.org/fchamroukhi/FLaMingos) + + +# **FLaMingos**: **F**unctional **L**atent dat**A** **M**odels for cluster**ING** heterogene**O**us curve**S** -flamingos is an open-source toolbox (available in R and in Matlab) for the simultaneous clustering and segmentation of heterogeneous functional data (i.e time-series ore more generally longitudinal data), with original and flexible functional latent variable models, fitted by unsupervised algorithms, including EM algorithms. +flamingos is an open-source toolbox (available in R and in Matlab) for +the simultaneous clustering and segmentation of heterogeneous functional +data (i.e time-series ore more generally longitudinal data), with +original and flexible functional latent variable models, fitted by +unsupervised algorithms, including EM algorithms. Our nice FLaMingos are mainly: -- mixRHLP; -- mixHMM; -- mixHMMR. + - mixRHLP; + - mixHMM; + - mixHMMR. -The models and algorithms are developped and written in Matlab by Faicel Chamroukhi, and translated and designed into R packages by Florian Lecocq, Marius Bartcus and Faicel Chamroukhi. +The models and algorithms are developped and written in Matlab by Faicel +Chamroukhi, and translated and designed into R packages by Florian +Lecocq, Marius Bartcus and Faicel Chamroukhi. -Installation -============ +# Installation -You can install the **flamingos** package from [GitHub](https://github.com/fchamroukhi/FLaMingos) with: +You can install the **flamingos** package from +[GitHub](https://github.com/fchamroukhi/FLaMingos) with: ``` r # install.packages("devtools") devtools::install_github("fchamroukhi/FLaMingos") ``` -To build *vignettes* for examples of usage, type the command below instead: +To build *vignettes* for examples of usage, type the command below +instead: ``` r # install.packages("devtools") @@ -41,14 +51,15 @@ Use the following command to display vignettes: browseVignettes("flamingos") ``` -Usage -===== +# Usage ``` r library(flamingos) ``` -
mixRHLP +
+ +mixRHLP ``` r data("toydataset") @@ -301,13 +312,13 @@ mixrhlp$summary() #> Regression coefficients for each regime/segment r (r=1...R): #> #> Beta(r = 1) Beta(r = 2) Beta(r = 3) -#> 1 6.3513369 4.214736 6.6536553 -#> X^1 -0.2449377 0.839666 0.1024863 +#> 1 4.96556671 6.7326717 4.8807183 +#> X^1 0.08880479 0.4984443 0.1350271 #> #> Variances: #> #> Sigma2(r = 1) Sigma2(r = 2) Sigma2(r = 3) -#> 0.9498285 0.9270384 1.001413 +#> 0.9559969 1.03849 0.9506928 #> #> -------------------- #> Cluster 2 (k = 2): @@ -329,13 +340,13 @@ mixrhlp$summary() #> Regression coefficients for each regime/segment r (r=1...R): #> #> Beta(r = 1) Beta(r = 2) Beta(r = 3) -#> 1 4.96556671 6.7326717 4.8807183 -#> X^1 0.08880479 0.4984443 0.1350271 +#> 1 6.3513369 4.214736 6.6536553 +#> X^1 -0.2449377 0.839666 0.1024863 #> #> Variances: #> #> Sigma2(r = 1) Sigma2(r = 2) Sigma2(r = 3) -#> 0.9559969 1.03849 0.9506928 +#> 0.9498285 0.9270384 1.001413 mixrhlp$plot() ``` @@ -344,7 +355,9 @@ mixrhlp$plot()
-
mixHMM +
+ +mixHMM ``` r data("toydataset") @@ -410,12 +423,12 @@ mixhmm$summary() #> Means: #> #> r = 1 r = 2 r = 3 -#> 6.319189 4.583954 6.722627 +#> 4.987066 6.963998 4.987279 #> #> Variances: #> #> Sigma2(r = 1) Sigma2(r = 2) Sigma2(r = 3) -#> 0.9571803 0.9504731 1.01553 +#> 0.9578459 1.045573 0.952294 #> #> ------------------- #> Cluster 3 (k = 3): @@ -423,12 +436,12 @@ mixhmm$summary() #> Means: #> #> r = 1 r = 2 r = 3 -#> 4.987066 6.963998 4.987279 +#> 6.319189 4.583954 6.722627 #> #> Variances: #> #> Sigma2(r = 1) Sigma2(r = 2) Sigma2(r = 3) -#> 0.9578459 1.045573 0.952294 +#> 0.9571803 0.9504731 1.01553 mixhmm$plot() ``` @@ -437,7 +450,9 @@ mixhmm$plot()
-
mixHMMR +
+ +mixHMMR ``` r data("toydataset") @@ -506,13 +521,13 @@ mixhmmr$summary() #> Regression coefficients for each regime/segment r (r=1...R): #> #> Beta(r = 1) Beta(r = 2) Beta(r = 3) -#> 1 6.3552432 4.2868818 6.5327846 -#> X^1 -0.2865404 0.6907212 0.2429291 +#> 1 6.870328 5.1511267 3.9901300 +#> X^1 1.204150 -0.4601777 -0.0155753 #> #> Variances: #> #> Sigma2(r = 1) Sigma2(r = 2) Sigma2(r = 3) -#> 0.9587975 0.9481068 1.01388 +#> 0.9776399 0.9895623 0.96457 #> #> -------------------- #> Cluster 2 (k = 2): @@ -520,13 +535,13 @@ mixhmmr$summary() #> Regression coefficients for each regime/segment r (r=1...R): #> #> Beta(r = 1) Beta(r = 2) Beta(r = 3) -#> 1 6.870328 5.1511267 3.9901300 -#> X^1 1.204150 -0.4601777 -0.0155753 +#> 1 4.9512819 6.8393804 4.9076599 +#> X^1 0.2099508 0.2822775 0.1031626 #> #> Variances: #> #> Sigma2(r = 1) Sigma2(r = 2) Sigma2(r = 3) -#> 0.9776399 0.9895623 0.96457 +#> 0.9576192 1.045043 0.952047 #> #> -------------------- #> Cluster 3 (k = 3): @@ -534,13 +549,13 @@ mixhmmr$summary() #> Regression coefficients for each regime/segment r (r=1...R): #> #> Beta(r = 1) Beta(r = 2) Beta(r = 3) -#> 1 4.9512819 6.8393804 4.9076599 -#> X^1 0.2099508 0.2822775 0.1031626 +#> 1 6.3552432 4.2868818 6.5327846 +#> X^1 -0.2865404 0.6907212 0.2429291 #> #> Variances: #> #> Sigma2(r = 1) Sigma2(r = 2) Sigma2(r = 3) -#> 0.9576192 1.045043 0.952047 +#> 0.9587975 0.9481068 1.01388 mixhmmr$plot() ``` @@ -549,25 +564,98 @@ mixhmmr$plot()
-References -========== +# References + +
+ +
+ +Chamroukhi, Faicel, and Hien D. Nguyen. 2019. “Model-Based Clustering +and Classification of Functional Data.” *Wiley Interdisciplinary +Reviews: Data Mining and Knowledge Discovery*. +. + +
+ +
+ +Chamroukhi, F. 2016. “Unsupervised Learning of Regression Mixture Models +with Unknown Number of Components.” *Journal of Statistical Computation +and Simulation* 86 (November): 2308–34. +. + +
+ +
+ +Chamroukhi, Faicel. 2016. “Piecewise Regression Mixture for Simultaneous +Functional Data Clustering and Optimal Segmentation.” *Journal of +Classification* 33 (3): 374–411. +. + +
+ +
+ +Chamroukhi, F. 2015. “Statistical Learning of Latent Data Models for +Complex Data Analysis.” Habilitation Thesis (HDR), Université de Toulon. +. + +
+ +
+ +Chamroukhi, F., H. Glotin, and A. Samé. 2013. “Model-Based Functional +Mixture Discriminant Analysis with Hidden Process Regression for Curve +Classification.” *Neurocomputing* 112: 153–63. +. + +
+ +
+ +Chamroukhi, F., and H. Glotin. 2012. “Mixture Model-Based Functional +Discriminant Analysis for Curve Classification.” In *Proceedings of the +International Joint Conference on Neural Networks (IJCNN), IEEE*, 1–8. +Brisbane, Australia. +. + +
+ +
+ +Samé, A., F. Chamroukhi, Gérard Govaert, and P. Aknin. 2011. +“Model-Based Clustering and Segmentation of Time Series with Changes +in Regime.” *Advances in Data Analysis and Classification* 5 (4): +301–21. . + +
-Chamroukhi, Faicel, and Hien D. Nguyen. 2019. “Model-Based Clustering and Classification of Functional Data.” *Wiley Interdisciplinary Reviews: Data Mining and Knowledge Discovery*, jan. . +
-Chamroukhi, F. 2016. “Unsupervised Learning of Regression Mixture Models with Unknown Number of Components.” *Journal of Statistical Computation and Simulation* 86 (November): 2308–34. . +Chamroukhi, F., A. Samé, P. Aknin, and G. Govaert. 2011. “Model-Based +Clustering with Hidden Markov Model Regression for Time Series with +Regime Changes.” In *Proceedings of the International Joint Conference +on Neural Networks (IJCNN), IEEE*, 2814–21. +. -Chamroukhi, Faicel. 2016. “Piecewise Regression Mixture for Simultaneous Functional Data Clustering and Optimal Segmentation.” *Journal of Classification* 33 (3): 374–411. . +
-Chamroukhi, F. 2015. “Statistical Learning of Latent Data Models for Complex Data Analysis.” Habilitation Thesis (HDR), Université de Toulon. . +
-Chamroukhi, F., H. Glotin, and A. Samé. 2013. “Model-Based Functional Mixture Discriminant Analysis with Hidden Process Regression for Curve Classification.” *Neurocomputing* 112 (july): 153–63. . +Chamroukhi, F., A. Samé, G. Govaert, and P. Aknin. 2010. “A Hidden +Process Regression Model for Functional Data Description. Application to +Curve Discrimination.” *Neurocomputing* 73 (7-9): 1210–21. +. -Chamroukhi, F., and H. Glotin. 2012. “Mixture Model-Based Functional Discriminant Analysis for Curve Classification.” In *Proceedings of the International Joint Conference on Neural Networks (IJCNN), IEEE*, 1–8. Brisbane, Australia. . +
-Chamroukhi, F., A. Samé, P. Aknin, and G. Govaert. 2011. “Model-Based Clustering with Hidden Markov Model Regression for Time Series with Regime Changes.” In *Proceedings of the International Joint Conference on Neural Networks (IJCNN), IEEE*, 2814–21. . +
-Samé, A., F. Chamroukhi, Gérard Govaert, and P. Aknin. 2011. “Model-Based Clustering and Segmentation of Time Series with Changes in Regime.” *Advances in Data Analysis and Classification* 5 (4): 301–21. . +Chamroukhi, F. 2010. “Hidden Process Regression for Curve Modeling, +Classification and Tracking.” Ph.D. Thesis, Université de Technologie de +Compiègne. . -Chamroukhi, F. 2010. “Hidden Process Regression for Curve Modeling, Classification and Tracking.” Ph.D. Thesis, Université de Technologie de Compiègne. . +
-Chamroukhi, F., A. Samé, G. Govaert, and P. Aknin. 2010. “A Hidden Process Regression Model for Functional Data Description. Application to Curve Discrimination.” *Neurocomputing* 73 (7-9): 1210–21. . +
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