From 6c27e5176e79fbfc4a186978d30b0080f48e78c0 Mon Sep 17 00:00:00 2001 From: sanchezi <isabelle.sanchez@inrae.fr> Date: Tue, 6 Sep 2022 09:57:37 +0200 Subject: [PATCH] improve doc & README & DESCRIPTION + add verbose --- DESCRIPTION | 12 +-- R/data.R | 11 ++- R/graph_functions.R | 10 +-- R/kfino.R | 140 ++++++++++++++++++------------ README.md | 23 +++-- doc/HowTo.R | 21 ++++- doc/HowTo.Rmd | 48 ++++++++-- doc/HowTo.html | 94 ++++++++++++++++---- man/figures/kfino_plot_pred.png | Bin 0 -> 95882 bytes man/figures/kfino_plot_quali.png | Bin 0 -> 93251 bytes man/figures/kfino_plot_quanti.png | Bin 0 -> 95689 bytes man/kfino.Rd | 8 +- man/kfino_fit.Rd | 42 +++++---- man/kfino_plot.Rd | 10 +-- man/lambs.Rd | 3 +- man/merinos1.Rd | 3 +- man/merinos2.Rd | 2 +- man/spring1.Rd | 3 +- vignettes/HowTo.Rmd | 48 ++++++++-- vignettes/implementedMethods.Rmd | 6 +- vignettes/multipleFit.Rmd | 10 +-- 21 files changed, 356 insertions(+), 138 deletions(-) create mode 100644 man/figures/kfino_plot_pred.png create mode 100644 man/figures/kfino_plot_quali.png create mode 100644 man/figures/kfino_plot_quanti.png diff --git a/DESCRIPTION b/DESCRIPTION index 06d1572..e08c3cf 100644 --- a/DESCRIPTION +++ b/DESCRIPTION @@ -2,8 +2,8 @@ Package: kfino Title: Kalman Filter for Impulse Noised Outliers Version: 1.0.0 Authors@R: c( - person("Bertrand", "Cloez", email = "bertrand.cloez@inrae.fr", role = c("aut", "cre")), - person("Isabelle", "Sanchez", email = "isabelle.sanchez@inrae.fr", role = c("ctr")), + person("Bertrand", "Cloez", email = "bertrand.cloez@inrae.fr", role = c("aut")), + person("Isabelle", "Sanchez", email = "isabelle.sanchez@inrae.fr", role = c("aut", "cre")), person("Benedicte", "Fontez", email = "benedicte.fontez@supagro.fr", role = c("ctr"))) Author: Bertrand Cloez [aut, cre], Isabelle Sanchez [ctr], @@ -20,14 +20,14 @@ BugReports: https://forgemia.inra.fr/isabelle.sanchez/kfino/issues Imports: ggplot2, dplyr, - foreach, - doParallel, - parallel Suggests: rmarkdown, knitr, testthat (>= 3.0.0), - covr + covr, + foreach, + doParallel, + parallel VignetteBuilder: knitr RoxygenNote: 7.2.1 Config/testthat/edition: 3 diff --git a/R/data.R b/R/data.R index 5c486ef..792b827 100644 --- a/R/data.R +++ b/R/data.R @@ -1,4 +1,5 @@ -#' a dataset containing the WoW weighing for one animal of 203 observations +#' a dataset containing the WoW weighing for one animal of 203 observations. +#' https://doi.org/10.1016/j.compag.2018.08.022 #' #' A dataset for kfino algorithm #' @format a data.frame @@ -13,7 +14,8 @@ #' } "spring1" -#' a dataset containing the WoW weighing for one animal (merinos lamb) of 397 observations +#' a dataset containing the WoW weighing for one animal (merinos lamb) of 397 +#' observations. https://doi.org/10.1016/j.compag.2018.08.022 #' #' A dataset for kfino algorithm #' @format a data.frame @@ -29,7 +31,7 @@ "merinos1" #' a dataset containing the WoW weighing for one animal (merinos lamb) of 345 -#' observations, difficult to model +#' observations, difficult to model. https://doi.org/10.1016/j.compag.2018.08.022 #' #' A dataset for kfino algorithm #' @format a data.frame @@ -44,7 +46,8 @@ #' } "merinos2" -#' a dataset containing the WoW weighing for 4 animals of 1296 observations +#' a dataset containing the WoW weighing for 4 animals of 1296 observations, +#' https://doi.org/10.1016/j.compag.2018.08.022 #' #' A dataset for kfino algorithm #' @format a data.frame diff --git a/R/graph_functions.R b/R/graph_functions.R index 2f46783..f8bf28a 100644 --- a/R/graph_functions.R +++ b/R/graph_functions.R @@ -13,11 +13,11 @@ #' #' @details The produced graphic can be, according to typeG: #' \describe{ -#' \item{quali}{The detection of outliers with a qualitative rule: OK values, -#' KO values (outliers) and OOR values (out of range values defined -#' by the user in `kfino_fit`) } -#' \item{quanti}{The detection of outliers with a quantitative display using -#' the calculated probability of the kfino algorithm} +#' \item{quali}{This plot shows the detection of outliers with a qualitative +#' rule: OK values (black), KO values (outliers, purple) and OOR values +#' (out of range values defined by the user in `kfino_fit`, red) } +#' \item{quanti}{This plot shows the detection of outliers with a quantitative +#' display using the calculated probability of the kfino algorithm} #' \item{prediction}{This plot shows the prediction of the analyzed variable #' plus the OK values. Prediction corresponds to E[X_{t} | Y_{1...t}] #' for each time point t. Between 2 time points, we used a simple diff --git a/R/kfino.R b/R/kfino.R index 9fce17e..2ee4611 100644 --- a/R/kfino.R +++ b/R/kfino.R @@ -15,6 +15,7 @@ #' default 10 #' @param kappaOpt numeric, truncation setting for initial parameters' #' optimization, default 7 +#' @param verbose write stuff if TRUE (optional), default FALSE. #' #' @details The initialization parameter list `param` contains: #' \describe{ @@ -37,8 +38,8 @@ #' \item{seqp}{numeric vector, sequence of pp probability to be correctly #' weighted. default seq(0.5,0.7,0.1)} #' } -#' It has to be given by the user following his knowledge of the animal or -#' the data set. All parameters are compulsory except m0, mm and pp that can be +#' It should be given by the user based on their knowledge of the animal or the +#' data set. All parameters are compulsory except m0, mm and pp that can be #' optimized by the algorithm. In the optimization step, those three parameters #' are initialized according to the input data (between the expert #' range) using quantile of the Y distribution (varying between 0.2 and 0.8 for @@ -53,22 +54,27 @@ #' #' @return a S3 list with two data frames and a list of vectors of #' kfino results -#' \describe{ -#' \item{detectOutlier}{The whole input data set with the detected outliers -#' flagged and prediction} +#' +#' @return detectOutlier: The whole input data set with the detected outliers +#' flagged and the prediction of the analyzed variable. +#' the following columns are joined to the columns +#' present in the input data set: #' \describe{ #' \item{prediction}{the parameter of interest - Yvar - predicted} #' \item{label_pred}{the probability of the value being well predicted} #' \item{lwr}{lower bound of the confidence interval of the predicted value} -#' \item{upper}{upper bound of the confidence interval of the predicted value} +#' \item{upr}{upper bound of the confidence interval of the predicted value} #' \item{flag}{flag of the value (OK value, KO value (outlier), OOR value #' (out of range values defined by the user in `kfino_fit`)} #' } -#' \item{PredictionOK}{A dataset with the predictions on possible values (OK -#' and KO values)} -#' \item{kfino.results}{kfino results (a list of vectors) on optimized input -#' parameters or not} -#' } +#' @return PredictionOK: A subset of `detectOutlier` data set with the predictions +#' of the analyzed variable on possible values (OK and KO values) +#' @return kfino.results: kfino results (a list of vectors containing the +#' prediction of the analyzed variable, the probability to be an +#' outlier, the likelihood, the confidence interval of +#' the prediction and the flag of the data) on input parameters that +#' were optimized if the user chose this option +#' #' @export #' @examples #' data(spring1) @@ -90,14 +96,16 @@ #' #' resu1<-kfino_fit(datain=spring1, #' Tvar="dateNum",Yvar="Poids", -#' doOptim=TRUE,method="ML",param=param1) +#' doOptim=TRUE,method="ML",param=param1, +#' verbose=TRUE) #' Sys.time() - t0 #' #' # --- With Optimization on initial parameters - EM method #' t0 <- Sys.time() #' resu1b<-kfino_fit(datain=spring1, #' Tvar="dateNum",Yvar="Poids", -#' doOptim=TRUE,method="EM",param=param1) +#' doOptim=TRUE,method="EM",param=param1, +#' verbose=TRUE) #' Sys.time() - t0 #' #' # --- Without Optimization on initial parameters @@ -116,7 +124,8 @@ #' resu2<-kfino_fit(datain=spring1, #' Tvar="dateNum",Yvar="Poids", #' param=param2, -#' doOptim=FALSE) +#' doOptim=FALSE, +#' verbose=FALSE) #' Sys.time() - t0 #' #' # complex data on merinos2 dataset @@ -141,7 +150,8 @@ kfino_fit<-function(datain,Tvar,Yvar, param=NULL, doOptim=TRUE,method="ML", - threshold=0.5,kappa=10,kappaOpt=7){ + threshold=0.5,kappa=10,kappaOpt=7, + verbose=FALSE){ if( any(is.null(param[["expertMin"]]) | is.null(param[["expertMax"]])) ) @@ -206,16 +216,20 @@ kfino_fit<-function(datain,Tvar,Yvar, if (N > 500){ # optim with sub-sampling - print("-------:") - print("Optimization of initial parameters ") - print("with sub-sampling and ML method - result:") + if (verbose){ + print("-------:") + print("Optimization of initial parameters ") + print("with sub-sampling and ML method - result:") + } bornem0=quantile(Y[1:N/4], probs = c(.2, .8)) m0opt=quantile(Y[1:N/4], probs = c(.5)) mmopt=quantile(Y[(3*N/4):N], probs = c(.5)) - cat("range m0: ",bornem0,"\n") - cat("Initial m0opt: ",m0opt,"\n") - cat("Initial mmopt: ",mmopt,"\n") + if (verbose){ + cat("range m0: ",bornem0,"\n") + cat("Initial m0opt: ",m0opt,"\n") + cat("Initial mmopt: ",mmopt,"\n") + } popt=0.5 #--- Saving datain before sub-sampling YY=Y @@ -274,11 +288,13 @@ kfino_fit<-function(datain,Tvar,Yvar, Y=YY Tps=TpsTps N=NN - print("Optimized parameters with ML method: ") - cat("Optimized m0: ",m0opt,"\n") - cat("Optimized mm: ",mmopt,"\n") - cat("Optimized pp: ",popt,"\n") - print("-------:") + if (verbose){ + print("Optimized parameters with ML method: ") + cat("Optimized m0: ",m0opt,"\n") + cat("Optimized mm: ",mmopt,"\n") + cat("Optimized pp: ",popt,"\n") + print("-------:") + } resultat=KBO_known(param=list(mm=mmopt, pp=popt, @@ -295,11 +311,13 @@ kfino_fit<-function(datain,Tvar,Yvar, } else if (N > 50){ # optimization without sub-sampling, 2 methods, EM or ML if (method == "EM"){ + if (verbose){ print("-------:") print("Optimization of initial parameters with EM method - result:") print("no sub-sampling performed:") - bornem0=quantile(Y[1:N/2], probs = c(.2, .8)) - cat("range m0: ",bornem0,"\n") + } + bornem0=quantile(Y[1:N/2], probs = c(.2, .8)) + if (verbose) cat("range m0: ",bornem0,"\n") #--- par dichotomie # borne basse @@ -448,11 +466,13 @@ kfino_fit<-function(datain,Tvar,Yvar, popt<-popt_low } - print("Optimized parameters with EM method: ") - cat("Optimized m0: ",m0opt,"\n") - cat("Optimized mm: ",mmopt,"\n") - cat("Optimized pp: ",popt,"\n") - print("-------:") + if (verbose){ + print("Optimized parameters with EM method: ") + cat("Optimized m0: ",m0opt,"\n") + cat("Optimized mm: ",mmopt,"\n") + cat("Optimized pp: ",popt,"\n") + print("-------:") + } resultat=KBO_known(param=list(mm=mmopt, pp=popt, m0=m0opt, @@ -466,17 +486,20 @@ kfino_fit<-function(datain,Tvar,Yvar, threshold=threshold,Y=Y,Tps=Tps,N=N,kappa=kappa) } else if (method == "ML"){ - print("-------:") - print("Optimization of initial parameters with ML method - result:") - print("no sub-sampling performed:") + if (verbose){ + print("-------:") + print("Optimization of initial parameters with ML method - result:") + print("no sub-sampling performed:") + } bornem0=quantile(Y[1:N/4], probs = c(.2, .8)) m0opt=quantile(Y[1:N/4], probs = c(.5)) mmopt=quantile(Y[(3*N/4):N], probs = c(.5)) - cat("range m0: ",bornem0,"\n") - cat("initial m0opt: ",m0opt,"\n") - cat("initial mmopt: ",mmopt,"\n") - + if (verbose){ + cat("range m0: ",bornem0,"\n") + cat("initial m0opt: ",m0opt,"\n") + cat("initial mmopt: ",mmopt,"\n") + } popt=0.5 Vopt=KBO_L(list(m0=m0opt, @@ -515,11 +538,13 @@ kfino_fit<-function(datain,Tvar,Yvar, } } - print("Optimized parameters: ") - cat("Optimized m0: ",m0opt,"\n") - cat("Optimized mm: ",mmopt,"\n") - cat("Optimized pp: ",popt,"\n") - print("-------:") + if (verbose){ + print("Optimized parameters: ") + cat("Optimized m0: ",m0opt,"\n") + cat("Optimized mm: ",mmopt,"\n") + cat("Optimized pp: ",popt,"\n") + print("-------:") + } resultat=KBO_known(param=list(mm=mmopt, pp=popt, m0=m0opt, @@ -542,12 +567,15 @@ kfino_fit<-function(datain,Tvar,Yvar, } else { X<-c(m0,pp,mm) } - print("-------:") - print("Optimization of initial parameters - result:") - print("Not enough data => No optimization performed:") - print("Used parameters: ") - print(X) - print("-------:") + + if (verbose){ + print("-------:") + print("Optimization of initial parameters - result:") + print("Not enough data => No optimization performed:") + print("Used parameters: ") + print(X) + print("-------:") + } resultat=KBO_known(param=list(m0=X[[1]], pp=X[[2]], mm=X[[3]], @@ -574,10 +602,12 @@ kfino_fit<-function(datain,Tvar,Yvar, } else { X<-c(m0,pp,mm) } - print("-------:") - print("No optimization of initial parameters:") - print("Used parameters: ") - print(X) + if (verbose){ + print("-------:") + print("No optimization of initial parameters:") + print("Used parameters: ") + print(X) + } resultat=KBO_known(param=list(m0=X[[1]], pp=X[[2]], mm=X[[3]], diff --git a/README.md b/README.md index 81b24e0..04277ce 100644 --- a/README.md +++ b/README.md @@ -2,13 +2,13 @@ # kfino <img src='man/figures/logo.png' align="right" height="139" /> -Kalman Filter for Impulse Noised Outliers +The **kfino** algorithm was developped for time courses in order to detect impulse noised outliers and predict the parameter of interest mainly for data recorded on the walk-over-weighing system described in this publication: -OBJECTIVE AND DESCRIPTION ALGO +E.González-GarcÃa *et. al.* (2018) A mobile and automated walk-over-weighing system for a close and remote monitoring of liveweight in sheep. vol 153: 226-238. https://doi.org/10.1016/j.compag.2018.08.022 -CREER SITE PKGDOWN +**Kalman filter with impulse noised outliers** (kfino) is a robust sequential algorithm allowing to filter data with a large number of outliers. This algorithm is based on simple latent linear Gaussian processes as in the Kalman Filter method and is devoted to detect impulse-noised outliers. These are data points that differ significantly from other observations. -**in progress** +The method is described in full details in the following arxiv preprint: https://arxiv.org/abs/2208.00961. ## Installation @@ -30,10 +30,23 @@ library(kfino) help(package="kfino") ``` +Please, have a look to the vignettes that explain how to use the algorithm. The +main specifications are: + +* filtering data with a large number of outliers +* predicting the analyzed variable +* providing useful graphics to interpret the data + + + + + + + ## Citation As a lot of time and effort were spent in creating the kfino algorithm, please cite it when using it for data analysis: -XXX +https://arxiv.org/abs/2208.00961. See also citation() for citing R itself. diff --git a/doc/HowTo.R b/doc/HowTo.R index bd5c3d6..bff8f50 100644 --- a/doc/HowTo.R +++ b/doc/HowTo.R @@ -34,8 +34,20 @@ param2<-list(m0=41, resu2<-kfino_fit(datain=spring1, Tvar="dateNum",Yvar="Poids", param=param2, - doOptim=FALSE) + doOptim=FALSE, + verbose=TRUE) +## ----------------------------------------------------------------------------- +# structure of detectOutlier data set +str(resu2$detectOutlier) + +# head of PredictionOK data set +head(resu2$PredictionOK) + +# structure of kfino.results list +str(resu2$kfino.results) + +## ----------------------------------------------------------------------------- # flags are qualitative kfino_plot(resuin=resu2,typeG="quali", Tvar="Day",Yvar="Poids",Ident="IDE") @@ -60,7 +72,9 @@ param1<-list(m0=NULL, resu1<-kfino_fit(datain=spring1, Tvar="dateNum",Yvar="Poids", - doOptim=TRUE,param=param1) + param=param1, + doOptim=TRUE, + verbose=TRUE) # flags are qualitative kfino_plot(resuin=resu1,typeG="quali", @@ -99,7 +113,8 @@ param3<-list(m0=NULL, resu3<-kfino_fit(datain=merinos1, Tvar="dateNum",Yvar="Poids", - doOptim=TRUE,param=param3) + doOptim=TRUE,param=param3, + verbose=TRUE) # flags are qualitative kfino_plot(resuin=resu3,typeG="quali", diff --git a/doc/HowTo.Rmd b/doc/HowTo.Rmd index 882ec6c..f03e8ac 100644 --- a/doc/HowTo.Rmd +++ b/doc/HowTo.Rmd @@ -58,9 +58,9 @@ dim(spring1) head(spring1) ``` -The range weight of this animal is between 30 and 75 kg and must be given in the initial parameters of the `kfino_fit()`function. +The range weight of this animal is between 30 and 75 kg and must be given in `param`, a list of initial parameters to include in the `kfino_fit()` function call. -The user can either perform an outlier detection (and prediction) given initial parameters or on optimized initial parameters (on m0, mm and pp): +The user can either perform an outlier detection (and prediction) given initial parameters or on optimized initial parameters (on m0, mm and pp). `param` list is composed of: * m0 = (optional) the initial weight, NULL if the user wants to optimize it, * mm = (optional) the target weight, NULL if the user wants to optimize it, @@ -77,7 +77,7 @@ The user can either perform an outlier detection (and prediction) given initial # Kfino algorithm on the `spring1` dataset ## Parameters (m0, mm and pp) not optimized -If the user chooses to not optimize the initial parameters, all the list must be completed according to expert knowledge of the data set. +If the user chooses to not optimize the initial parameters, all the list must be completed according to expert knowledge of the data set. Here, the user supposes that the initial weight is around 41 and the target one around 45. ```{r,error=TRUE} # --- Without Optimisation on parameters @@ -96,8 +96,39 @@ param2<-list(m0=41, resu2<-kfino_fit(datain=spring1, Tvar="dateNum",Yvar="Poids", param=param2, - doOptim=FALSE) + doOptim=FALSE, + verbose=TRUE) +``` + +resu2 is a list of 3 elements: + +* detectOutlier: The whole input data set with the detected outliers flagged and the prediction of the analyzed variable. the following columns are joined to the columns present in the input data set: + + - prediction: the parameter of interest - Yvar - predicted + - label_pred: the probability of the value being well predicted + - lwr: lower bound of the confidence interval of the predicted value + - upr: upper bound of the confidence interval of the predicted value + - flag: flag of the value (OK value, KO value (outlier), OOR value + (out of range values defined by the user in `kfino_fit`) + +* PredictionOK: A subset of `detectOutlier` data set with the predictions + of the analyzed variable on possible values (OK and KO values) +* kfino.results: kfino results (a list of vectors, prediction, probability to be an outlier , likelihood, confidence interval of the prediction and the flag of the data) on input parameters that were optimized if the user chooses this option + +```{r} +# structure of detectOutlier data set +str(resu2$detectOutlier) +# head of PredictionOK data set +head(resu2$PredictionOK) + +# structure of kfino.results list +str(resu2$kfino.results) +``` + +Using the `kfino_plot()`function allows the user to visualize the results: + +```{r} # flags are qualitative kfino_plot(resuin=resu2,typeG="quali", Tvar="Day",Yvar="Poids",Ident="IDE") @@ -107,6 +138,8 @@ kfino_plot(resuin=resu2,typeG="quanti", Tvar="Day",Yvar="Poids",Ident="IDE") ``` + + ## Parameters (m0, mm and pp) optimized If the user chooses to optimize the initial parameters, m0, mm and pp must be set to NULL. @@ -127,7 +160,9 @@ param1<-list(m0=NULL, resu1<-kfino_fit(datain=spring1, Tvar="dateNum",Yvar="Poids", - doOptim=TRUE,param=param1) + param=param1, + doOptim=TRUE, + verbose=TRUE) # flags are qualitative kfino_plot(resuin=resu1,typeG="quali", @@ -178,7 +213,8 @@ param3<-list(m0=NULL, resu3<-kfino_fit(datain=merinos1, Tvar="dateNum",Yvar="Poids", - doOptim=TRUE,param=param3) + doOptim=TRUE,param=param3, + verbose=TRUE) # flags are qualitative kfino_plot(resuin=resu3,typeG="quali", diff --git a/doc/HowTo.html b/doc/HowTo.html index 9df2d03..fca9e4f 100644 --- a/doc/HowTo.html +++ b/doc/HowTo.html @@ -1583,11 +1583,11 @@ head(spring1) #> 5 23.4 2017-05-25 00:00:00 250016286863027 2017-05-25 05:58:00 1.03 #> 6 0 2017-05-25 00:00:00 250016286863027 2017-05-25 09:30:00 1.17</code></pre> <p>The range weight of this animal is between 30 and 75 kg and must be -given in the initial parameters of the -<code>kfino_fit()</code>function.</p> +given in <code>param</code>, a list of initial parameters to include in +the <code>kfino_fit()</code> function call.</p> <p>The user can either perform an outlier detection (and prediction) given initial parameters or on optimized initial parameters (on m0, mm -and pp):</p> +and pp). <code>param</code> list is composed of:</p> <ul> <li>m0 = (optional) the initial weight, NULL if the user wants to optimize it,</li> @@ -1616,8 +1616,9 @@ weighted. default seq(0.5,0.7,0.1)</li> <h2><span class="header-section-number">2.1</span> Parameters (m0, mm and pp) not optimized</h2> <p>If the user chooses to not optimize the initial parameters, all the -list must be completed according to expert knowledge of the data -set.</p> +list must be completed according to expert knowledge of the data set. +Here, the user supposes that the initial weight is around 41 and the +target one around 45.</p> <pre class="r"><code># --- Without Optimisation on parameters param2<-list(m0=41, mm=45, @@ -1634,13 +1635,73 @@ param2<-list(m0=41, resu2<-kfino_fit(datain=spring1, Tvar="dateNum",Yvar="Poids", param=param2, - doOptim=FALSE) + doOptim=FALSE, + verbose=TRUE) #> [1] "-------:" #> [1] "No optimization of initial parameters:" #> [1] "Used parameters: " -#> [1] 41.0 0.5 45.0 - -# flags are qualitative +#> [1] 41.0 0.5 45.0</code></pre> +<p>resu2 is a list of 3 elements:</p> +<ul> +<li><p>detectOutlier: The whole input data set with the detected +outliers flagged and the prediction of the analyzed variable. the +following columns are joined to the columns present in the input data +set:</p> +<ul> +<li>prediction: the parameter of interest - Yvar - predicted</li> +<li>label_pred: the probability of the value being well predicted</li> +<li>lwr: lower bound of the confidence interval of the predicted +value</li> +<li>upr: upper bound of the confidence interval of the predicted +value</li> +<li>flag: flag of the value (OK value, KO value (outlier), OOR value +(out of range values defined by the user in <code>kfino_fit</code>)</li> +</ul></li> +<li><p>PredictionOK: A subset of <code>detectOutlier</code> data set +with the predictions of the analyzed variable on possible values (OK and +KO values)</p></li> +<li><p>kfino.results: kfino results (a list of vectors, prediction, +probability to be an outlier , likelihood, confidence interval of the +prediction and the flag of the data) on input parameters that were +optimized if the user chooses this option</p></li> +</ul> +<pre class="r"><code># structure of detectOutlier data set +str(resu2$detectOutlier) +#> 'data.frame': 203 obs. of 11 variables: +#> $ Poids : num 28.6 45 25 43 23.4 0 42.2 43 85.4 40.1 ... +#> $ Date : POSIXct, format: "2017-05-24" "2017-05-24" ... +#> $ IDE : chr "250016286863027" "250016286863027" "250016286863027" "250016286863027" ... +#> $ Day : POSIXct, format: "2017-05-24 16:34:00" "2017-05-24 19:24:00" ... +#> $ dateNum : num 0.469 0.587 1.004 1.018 1.027 ... +#> $ rowNum : int 1 2 3 4 5 6 7 8 9 10 ... +#> $ prediction: num NA 41.5 NA 41.7 NA ... +#> $ label_pred: num NA 0.68 NA 0.88 NA NA 0.9 0.88 NA 0.87 ... +#> $ lwr : num NA 39.5 NA 39.9 NA ... +#> $ upr : num NA 43.4 NA 43.5 NA ... +#> $ flag : chr "OOR" "OK" "OOR" "OK" ... + +# head of PredictionOK data set +head(resu2$PredictionOK) +#> rowNum prediction label_pred lwr upr flag +#> 1 2 41.45659 0.68 39.49659 43.41659 OK +#> 2 4 41.68643 0.88 39.88262 43.49024 OK +#> 3 7 41.75829 0.90 40.07535 43.44123 OK +#> 4 8 41.90155 0.88 40.32265 43.48044 OK +#> 5 10 41.71243 0.87 40.14772 43.27714 OK +#> 6 11 41.81293 0.89 40.33186 43.29400 OK + +# structure of kfino.results list +str(resu2$kfino.results) +#> List of 6 +#> $ prediction: num [1:121] 41.5 41.7 41.8 41.9 41.7 ... +#> $ label : num [1:121] 0.685 0.875 0.895 0.884 0.874 ... +#> $ likelihood: num [1, 1] 1.25e-150 +#> $ lwr : num [1:121] 39.5 39.9 40.1 40.3 40.1 ... +#> $ upr : num [1:121] 43.4 43.5 43.4 43.5 43.3 ... +#> $ flag : chr [1:121] "OK" "OK" "OK" "OK" ...</code></pre> +<p>Using the <code>kfino_plot()</code>function allows the user to +visualize the results:</p> +<pre class="r"><code># flags are qualitative kfino_plot(resuin=resu2,typeG="quali", Tvar="Day",Yvar="Poids",Ident="IDE")</code></pre> <p><img src="data:image/png;base64,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" width="672" /></p> @@ -1670,7 +1731,9 @@ param1<-list(m0=NULL, resu1<-kfino_fit(datain=spring1, Tvar="dateNum",Yvar="Poids", - doOptim=TRUE,param=param1) + param=param1, + doOptim=TRUE, + verbose=TRUE) #> [1] "-------:" #> [1] "Optimization of initial parameters with ML method - result:" #> [1] "no sub-sampling performed:" @@ -1748,7 +1811,8 @@ param3<-list(m0=NULL, resu3<-kfino_fit(datain=merinos1, Tvar="dateNum",Yvar="Poids", - doOptim=TRUE,param=param3) + doOptim=TRUE,param=param3, + verbose=TRUE) #> [1] "-------:" #> [1] "Optimization of initial parameters with ML method - result:" #> [1] "no sub-sampling performed:" @@ -1810,13 +1874,13 @@ informations</h1> #> [1] stats graphics grDevices utils datasets methods base #> #> other attached packages: -#> [1] ggplot2_3.3.6 dplyr_1.0.9 kfino_1.0.0 +#> [1] ggplot2_3.3.6 dplyr_1.0.10 kfino_1.0.0 #> #> loaded via a namespace (and not attached): #> [1] highr_0.9 pillar_1.8.1 bslib_0.4.0 compiler_4.2.1 #> [5] jquerylib_0.1.4 tools_4.2.1 digest_0.6.29 jsonlite_1.8.0 -#> [9] evaluate_0.16 lifecycle_1.0.1 tibble_3.1.8 gtable_0.3.0 -#> [13] pkgconfig_2.0.3 rlang_1.0.4 cli_3.3.0 DBI_1.1.3 +#> [9] evaluate_0.16 lifecycle_1.0.1 tibble_3.1.8 gtable_0.3.1 +#> [13] pkgconfig_2.0.3 rlang_1.0.5 cli_3.3.0 DBI_1.1.3 #> [17] rstudioapi_0.14 yaml_2.3.5 xfun_0.32 fastmap_1.1.0 #> [21] withr_2.5.0 stringr_1.4.1 knitr_1.40 generics_0.1.3 #> [25] vctrs_0.4.1 sass_0.4.2 grid_4.2.1 tidyselect_1.1.2 @@ -1824,7 +1888,7 @@ informations</h1> #> [33] farver_2.1.1 purrr_0.3.4 magrittr_2.0.3 ellipsis_0.3.2 #> [37] scales_1.2.1 htmltools_0.5.3 assertthat_0.2.1 colorspace_2.0-3 #> [41] labeling_0.4.2 utf8_1.2.2 stringi_1.7.8 munsell_0.5.0 -#> [45] cachem_1.0.6 crayon_1.5.1</code></pre> +#> [45] cachem_1.0.6</code></pre> </div> diff --git a/man/figures/kfino_plot_pred.png b/man/figures/kfino_plot_pred.png new file mode 100644 index 0000000000000000000000000000000000000000..7e354ff6f55408ce613d1957f06a266a9fb8ed6f GIT binary patch literal 95882 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[contractor] } diff --git a/man/kfino_fit.Rd b/man/kfino_fit.Rd index 5a346be..7d326d8 100644 --- a/man/kfino_fit.Rd +++ b/man/kfino_fit.Rd @@ -13,7 +13,8 @@ kfino_fit( method = "ML", threshold = 0.5, kappa = 10, - kappaOpt = 7 + kappaOpt = 7, + verbose = FALSE ) } \arguments{ @@ -41,26 +42,34 @@ default 10} \item{kappaOpt}{numeric, truncation setting for initial parameters' optimization, default 7} + +\item{verbose}{write stuff if TRUE (optional), default FALSE.} } \value{ a S3 list with two data frames and a list of vectors of kfino results -\describe{ -\item{detectOutlier}{The whole input data set with the detected outliers - flagged and prediction} + +detectOutlier: The whole input data set with the detected outliers + flagged and the prediction of the analyzed variable. + the following columns are joined to the columns + present in the input data set: \describe{ \item{prediction}{the parameter of interest - Yvar - predicted} \item{label_pred}{the probability of the value being well predicted} \item{lwr}{lower bound of the confidence interval of the predicted value} - \item{upper}{upper bound of the confidence interval of the predicted value} + \item{upr}{upper bound of the confidence interval of the predicted value} \item{flag}{flag of the value (OK value, KO value (outlier), OOR value (out of range values defined by the user in `kfino_fit`)} } -\item{PredictionOK}{A dataset with the predictions on possible values (OK - and KO values)} -\item{kfino.results}{kfino results (a list of vectors) on optimized input - parameters or not} -} + +PredictionOK: A subset of `detectOutlier` data set with the predictions + of the analyzed variable on possible values (OK and KO values) + +kfino.results: kfino results (a list of vectors containing the + prediction of the analyzed variable, the probability to be an + outlier, the likelihood, the confidence interval of + the prediction and the flag of the data) on input parameters that + were optimized if the user chose this option } \description{ kfino_fit a function to detect outlier with a Kalman Filtering approach @@ -87,8 +96,8 @@ The initialization parameter list `param` contains: \item{seqp}{numeric vector, sequence of pp probability to be correctly weighted. default seq(0.5,0.7,0.1)} } -It has to be given by the user following his knowledge of the animal or -the data set. All parameters are compulsory except m0, mm and pp that can be +It should be given by the user based on their knowledge of the animal or the +data set. All parameters are compulsory except m0, mm and pp that can be optimized by the algorithm. In the optimization step, those three parameters are initialized according to the input data (between the expert range) using quantile of the Y distribution (varying between 0.2 and 0.8 for @@ -117,14 +126,16 @@ param1<-list(m0=NULL, resu1<-kfino_fit(datain=spring1, Tvar="dateNum",Yvar="Poids", - doOptim=TRUE,method="ML",param=param1) + doOptim=TRUE,method="ML",param=param1, + verbose=TRUE) Sys.time() - t0 # --- With Optimization on initial parameters - EM method t0 <- Sys.time() resu1b<-kfino_fit(datain=spring1, Tvar="dateNum",Yvar="Poids", - doOptim=TRUE,method="EM",param=param1) + doOptim=TRUE,method="EM",param=param1, + verbose=TRUE) Sys.time() - t0 # --- Without Optimization on initial parameters @@ -143,7 +154,8 @@ param2<-list(m0=41, resu2<-kfino_fit(datain=spring1, Tvar="dateNum",Yvar="Poids", param=param2, - doOptim=FALSE) + doOptim=FALSE, + verbose=FALSE) Sys.time() - t0 # complex data on merinos2 dataset diff --git a/man/kfino_plot.Rd b/man/kfino_plot.Rd index 140cd41..4eca98f 100644 --- a/man/kfino_plot.Rd +++ b/man/kfino_plot.Rd @@ -43,11 +43,11 @@ kfino_plot a graphical function for the result of a kfino run \details{ The produced graphic can be, according to typeG: \describe{ - \item{quali}{The detection of outliers with a qualitative rule: OK values, - KO values (outliers) and OOR values (out of range values defined - by the user in `kfino_fit`) } - \item{quanti}{The detection of outliers with a quantitative display using - the calculated probability of the kfino algorithm} + \item{quali}{This plot shows the detection of outliers with a qualitative + rule: OK values (black), KO values (outliers, purple) and OOR values + (out of range values defined by the user in `kfino_fit`, red) } + \item{quanti}{This plot shows the detection of outliers with a quantitative + display using the calculated probability of the kfino algorithm} \item{prediction}{This plot shows the prediction of the analyzed variable plus the OK values. Prediction corresponds to E[X_{t} | Y_{1...t}] for each time point t. Between 2 time points, we used a simple diff --git a/man/lambs.Rd b/man/lambs.Rd index 47c8129..00b4c88 100644 --- a/man/lambs.Rd +++ b/man/lambs.Rd @@ -3,7 +3,8 @@ \docType{data} \name{lambs} \alias{lambs} -\title{a dataset containing the WoW weighing for 4 animals of 1296 observations} +\title{a dataset containing the WoW weighing for 4 animals of 1296 observations, +https://doi.org/10.1016/j.compag.2018.08.022} \format{ a data.frame \describe{ diff --git a/man/merinos1.Rd b/man/merinos1.Rd index 1895435..8bedaa5 100644 --- a/man/merinos1.Rd +++ b/man/merinos1.Rd @@ -3,7 +3,8 @@ \docType{data} \name{merinos1} \alias{merinos1} -\title{a dataset containing the WoW weighing for one animal (merinos lamb) of 397 observations} +\title{a dataset containing the WoW weighing for one animal (merinos lamb) of 397 +observations. https://doi.org/10.1016/j.compag.2018.08.022} \format{ a data.frame \describe{ diff --git a/man/merinos2.Rd b/man/merinos2.Rd index d10c320..499b444 100644 --- a/man/merinos2.Rd +++ b/man/merinos2.Rd @@ -4,7 +4,7 @@ \name{merinos2} \alias{merinos2} \title{a dataset containing the WoW weighing for one animal (merinos lamb) of 345 -observations, difficult to model} +observations, difficult to model. https://doi.org/10.1016/j.compag.2018.08.022} \format{ a data.frame \describe{ diff --git a/man/spring1.Rd b/man/spring1.Rd index 185c8ab..8f8e1d4 100644 --- a/man/spring1.Rd +++ b/man/spring1.Rd @@ -3,7 +3,8 @@ \docType{data} \name{spring1} \alias{spring1} -\title{a dataset containing the WoW weighing for one animal of 203 observations} +\title{a dataset containing the WoW weighing for one animal of 203 observations. +https://doi.org/10.1016/j.compag.2018.08.022} \format{ a data.frame \describe{ diff --git a/vignettes/HowTo.Rmd b/vignettes/HowTo.Rmd index 882ec6c..f03e8ac 100644 --- a/vignettes/HowTo.Rmd +++ b/vignettes/HowTo.Rmd @@ -58,9 +58,9 @@ dim(spring1) head(spring1) ``` -The range weight of this animal is between 30 and 75 kg and must be given in the initial parameters of the `kfino_fit()`function. +The range weight of this animal is between 30 and 75 kg and must be given in `param`, a list of initial parameters to include in the `kfino_fit()` function call. -The user can either perform an outlier detection (and prediction) given initial parameters or on optimized initial parameters (on m0, mm and pp): +The user can either perform an outlier detection (and prediction) given initial parameters or on optimized initial parameters (on m0, mm and pp). `param` list is composed of: * m0 = (optional) the initial weight, NULL if the user wants to optimize it, * mm = (optional) the target weight, NULL if the user wants to optimize it, @@ -77,7 +77,7 @@ The user can either perform an outlier detection (and prediction) given initial # Kfino algorithm on the `spring1` dataset ## Parameters (m0, mm and pp) not optimized -If the user chooses to not optimize the initial parameters, all the list must be completed according to expert knowledge of the data set. +If the user chooses to not optimize the initial parameters, all the list must be completed according to expert knowledge of the data set. Here, the user supposes that the initial weight is around 41 and the target one around 45. ```{r,error=TRUE} # --- Without Optimisation on parameters @@ -96,8 +96,39 @@ param2<-list(m0=41, resu2<-kfino_fit(datain=spring1, Tvar="dateNum",Yvar="Poids", param=param2, - doOptim=FALSE) + doOptim=FALSE, + verbose=TRUE) +``` + +resu2 is a list of 3 elements: + +* detectOutlier: The whole input data set with the detected outliers flagged and the prediction of the analyzed variable. the following columns are joined to the columns present in the input data set: + + - prediction: the parameter of interest - Yvar - predicted + - label_pred: the probability of the value being well predicted + - lwr: lower bound of the confidence interval of the predicted value + - upr: upper bound of the confidence interval of the predicted value + - flag: flag of the value (OK value, KO value (outlier), OOR value + (out of range values defined by the user in `kfino_fit`) + +* PredictionOK: A subset of `detectOutlier` data set with the predictions + of the analyzed variable on possible values (OK and KO values) +* kfino.results: kfino results (a list of vectors, prediction, probability to be an outlier , likelihood, confidence interval of the prediction and the flag of the data) on input parameters that were optimized if the user chooses this option + +```{r} +# structure of detectOutlier data set +str(resu2$detectOutlier) +# head of PredictionOK data set +head(resu2$PredictionOK) + +# structure of kfino.results list +str(resu2$kfino.results) +``` + +Using the `kfino_plot()`function allows the user to visualize the results: + +```{r} # flags are qualitative kfino_plot(resuin=resu2,typeG="quali", Tvar="Day",Yvar="Poids",Ident="IDE") @@ -107,6 +138,8 @@ kfino_plot(resuin=resu2,typeG="quanti", Tvar="Day",Yvar="Poids",Ident="IDE") ``` + + ## Parameters (m0, mm and pp) optimized If the user chooses to optimize the initial parameters, m0, mm and pp must be set to NULL. @@ -127,7 +160,9 @@ param1<-list(m0=NULL, resu1<-kfino_fit(datain=spring1, Tvar="dateNum",Yvar="Poids", - doOptim=TRUE,param=param1) + param=param1, + doOptim=TRUE, + verbose=TRUE) # flags are qualitative kfino_plot(resuin=resu1,typeG="quali", @@ -178,7 +213,8 @@ param3<-list(m0=NULL, resu3<-kfino_fit(datain=merinos1, Tvar="dateNum",Yvar="Poids", - doOptim=TRUE,param=param3) + doOptim=TRUE,param=param3, + verbose=TRUE) # flags are qualitative kfino_plot(resuin=resu3,typeG="quali", diff --git a/vignettes/implementedMethods.Rmd b/vignettes/implementedMethods.Rmd index 16edede..90e99d8 100644 --- a/vignettes/implementedMethods.Rmd +++ b/vignettes/implementedMethods.Rmd @@ -71,7 +71,8 @@ param1<-list(m0=NULL, ```{r,error=TRUE} resu1<-kfino_fit(datain=spring1, Tvar="dateNum",Yvar="Poids", - doOptim=TRUE,method="ML",param=param1) + doOptim=TRUE,method="ML",param=param1, + verbose=TRUE) # flags are qualitative kfino_plot(resuin=resu1,typeG="quali", @@ -92,7 +93,8 @@ kfino_plot(resuin=resu1,typeG="prediction", resu2<-kfino_fit(datain=spring1, Tvar="dateNum",Yvar="Poids", - doOptim=TRUE,method="EM",param=param1) + doOptim=TRUE,method="EM",param=param1, + verbose=TRUE) # flags are qualitative kfino_plot(resuin=resu2,typeG="quali", diff --git a/vignettes/multipleFit.Rmd b/vignettes/multipleFit.Rmd index 99c681d..a4f6f69 100644 --- a/vignettes/multipleFit.Rmd +++ b/vignettes/multipleFit.Rmd @@ -28,6 +28,11 @@ library(parallel) library(doParallel) ``` +This vignette shows how to use parallelization on a data set containing a set of animals weighted over time with the walk-over-weighing system. +The `lambs` data set is included in the **kfino** package and can be loaded using the `data()` function. + +We use the **parallel** and **doParallel** libraries to accelerate the computing time. + ```{r} data(lambs) myIDE<-unique(lambs$IDE) @@ -35,11 +40,6 @@ myIDE<-unique(lambs$IDE) print(myIDE) ``` -This vignette shows how to use parallelization on a data set containing a set of animals weighted over time with the walk-over-weighing system. -The `lambs` data set is included in the **kfino** package and can be loaded using the `data()` function. - -We use the **parallel** and **doParallel** libraries to accelerate the computing time. - # Without parallelization ```{r,error=TRUE} -- GitLab