From b71898a5bcf64b6dc401bf948a3192a492a9bb6f Mon Sep 17 00:00:00 2001 From: daniel Date: Tue, 17 Dec 2019 21:43:14 +0100 Subject: [PATCH] update: CVE paper, add: predict_dim doc, altered method check to avid "may not initialized" warning --- CVE/R/predict_dim.R | 37 ++++++++++++++++++++------------- CVE/inst/doc/CVE_paper.pdf | Bin 1260607 -> 1247620 bytes CVE/man/predict_dim.Rd | 41 +++++++++++++++++++------------------ CVE/src/cve.c | 30 +++++++++++---------------- 4 files changed, 56 insertions(+), 52 deletions(-) mode change 100755 => 100644 CVE/inst/doc/CVE_paper.pdf diff --git a/CVE/R/predict_dim.R b/CVE/R/predict_dim.R index 3e390b1..e127e97 100644 --- a/CVE/R/predict_dim.R +++ b/CVE/R/predict_dim.R @@ -28,7 +28,7 @@ predict_dim_cv <- function(object) { k = as.integer(names(which.min(MSE))) )) } -# TODO: write doc + predict_dim_elbow <- function(object) { # extract original data from object (cve result) X <- object$X @@ -122,24 +122,33 @@ predict_dim_wilcoxon <- function(object, p.value = 0.05) { )) } -#' \code{"TODO: @Lukas"} +#' Estimate Dimension of Reduction Space. +#' +#' This function estimates the dimension of the mean dimension reduction space, +#' i.e. number of columns of \eqn{B} matrix. The default method \code{'CV'} +#' performs cross-validation using \code{mars}. Given +#' \code{k = min.dim, ..., max.dim} a cross-validation via \code{mars} is +#' performed on the dataset \eqn{(Y i, B_k' X_i)_{i = 1, ..., n}} where +#' \eqn{B_k} is the \eqn{p \times k}{p x k} dimensional CVE estimate given +#' \eqn{k}. The estimated SDR dimension is the \eqn{k} where the +#' cross-validation mean squared error is the lowest. The method \code{'elbow'} +#' estimates the dimension via \eqn{k = argmin_k L_n(V_{p − k})} where +#' \eqn{V_{p − k}} is the CVE estimate of the orthogonal columnspace of +#' \eqn{B_k}. Method \code{'wilcoxon'} is similar to \code{'elbow'} but finds +#' the minimum using the wilcoxon-test. #' #' @param object instance of class \code{cve} (result of \code{\link{cve}}, #' \code{\link{cve.call}}). -#' @param method one of \code{"CV"}, \code{"elbow"} or \code{"wilcoxon"}. +#' @param method This parameter specify which method will be used in dimension +#' estimation. It provides three methods \code{'CV'} (default), \code{'elbow'}, +#' and \code{'wilcoxon'} to estimate the dimension of the SDR. #' @param ... ignored. #' -#' @return list with \code{"k"} the predicted dimension and method dependent -#' informatoin. -#' -#' @section Method cv: -#' TODO: \code{"TODO: @Lukas"}. -#' -#' @section Method elbow: -#' TODO: \code{"TODO: @Lukas"}. -#' -#' @section Method wilcoxon: -#' TODO: \code{"TODO: @Lukas"}. +#' @return list with +#' \describe{ +#' \item{}{cretirion of method for \code{k = min.dim, ..., max.dim}.} +#' \item{k}{estimated dimension as argmin over \eqn{k} of criterion.} +#' } #' #' @examples #' # create B for simulation diff --git a/CVE/inst/doc/CVE_paper.pdf b/CVE/inst/doc/CVE_paper.pdf old mode 100755 new mode 100644 index e87029322105511748603e56ad1a37a659715dc2..ec4b0f68504cb309d20c6a8cabc810dafadf1a7a GIT binary patch delta 943879 zcmY(Jb8sgx*Y9iFTidp6+ua&l+wHHm-K}lgwr$(C?mqWE@63JkUna@PIp>?qB>AN0 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zIKZ4KFsRHRT&yX4s05%a%xq}_!l0NbZm9fH>_6UgNf9FL-)5YKW`;)0oUF|3#;jas z%*KpNrlzc{tcFZxOor?xMtr|bSQrgWjZHZjSy_zP44D}XIn7KA+1NRmn7G(E8O>6@ zQ857IX|`}OaB$Io1V}N{O+LVgxvu@!It56@vC@5^MVw~ACjCGY;FSA1-26>z{fEb(K?nhlq^OZgj%1@g~fiur09rqag7T zGQ{yFTx0?$z(z!*u(gC-2v8g%0MTOMC>)$IgyDLN$&$uZO8dT>N124&#M Z{wgH3Ljel15s7Xz0ttdlvxi1S|1Z?>$#4Jw diff --git a/CVE/man/predict_dim.Rd b/CVE/man/predict_dim.Rd index cb4b8b1..45f4353 100644 --- a/CVE/man/predict_dim.Rd +++ b/CVE/man/predict_dim.Rd @@ -2,7 +2,7 @@ % Please edit documentation in R/predict_dim.R \name{predict_dim} \alias{predict_dim} -\title{\code{"TODO: @Lukas"}} +\title{Estimate Dimension of Reduction Space.} \usage{ predict_dim(object, ..., method = "CV") } @@ -12,30 +12,31 @@ predict_dim(object, ..., method = "CV") \item{...}{ignored.} -\item{method}{one of \code{"CV"}, \code{"elbow"} or \code{"wilcoxon"}.} +\item{method}{This parameter specify which method will be used in dimension +estimation. It provides three methods \code{'CV'} (default), \code{'elbow'}, +and \code{'wilcoxon'} to estimate the dimension of the SDR.} } \value{ -list with \code{"k"} the predicted dimension and method dependent - informatoin. +list with +\describe{ + \item{}{cretirion of method for \code{k = min.dim, ..., max.dim}.} + \item{k}{estimated dimension as argmin over \eqn{k} of criterion.} +} } \description{ -\code{"TODO: @Lukas"} +This function estimates the dimension of the mean dimension reduction space, +i.e. number of columns of \eqn{B} matrix. The default method \code{'CV'} +performs cross-validation using \code{mars}. Given +\code{k = min.dim, ..., max.dim} a cross-validation via \code{mars} is +performed on the dataset \eqn{(Y i, B_k' X_i)_{i = 1, ..., n}} where +\eqn{B_k} is the \eqn{p \times k}{p x k} dimensional CVE estimate given +\eqn{k}. The estimated SDR dimension is the \eqn{k} where the +cross-validation mean squared error is the lowest. The method \code{'elbow'} +estimates the dimension via \eqn{k = argmin_k L_n(V_{p − k})} where +\eqn{V_{p − k}} is the CVE estimate of the orthogonal columnspace of +\eqn{B_k}. Method \code{'wilcoxon'} is similar to \code{'elbow'} but finds +the minimum using the wilcoxon-test. } -\section{Method cv}{ - -TODO: \code{"TODO: @Lukas"}. -} - -\section{Method elbow}{ - -TODO: \code{"TODO: @Lukas"}. -} - -\section{Method wilcoxon}{ - -TODO: \code{"TODO: @Lukas"}. -} - \examples{ # create B for simulation B <- rep(1, 5) / sqrt(5) diff --git a/CVE/src/cve.c b/CVE/src/cve.c index e9e925b..c3437e7 100644 --- a/CVE/src/cve.c +++ b/CVE/src/cve.c @@ -82,19 +82,17 @@ void cve(const mat *X, const mat *Y, const double h, /* Compute losses */ L = hadamard(-1.0, y1, y1, 1.0, copy(y2, L)); /* Compute initial loss */ - if (method == simple) { - loss_last = mean(L); - /* Calculate the scaling matrix S */ - S = laplace(adjacence(L, Y, y1, D, W, gauss, S), workMem); - } else if (method == weighted) { + if (method == weighted) { colSumsK = elemApply(colSumsK, '-', 1.0, colSumsK); sumK = sum(colSumsK); loss_last = dot(L, '*', colSumsK) / sumK; c = agility / sumK; /* Calculate the scaling matrix S */ S = laplace(adjacence(L, Y, y1, D, K, gauss, S), workMem); - } else { - // TODO: error handling! + } else { /* simple */ + loss_last = mean(L); + /* Calculate the scaling matrix S */ + S = laplace(adjacence(L, Y, y1, D, W, gauss, S), workMem); } /* Gradient */ tmp1 = matrixprod(1.0, S, X, 0.0, tmp1); @@ -139,14 +137,12 @@ void cve(const mat *X, const mat *Y, const double h, /* Compute losses */ L = hadamard(-1.0, y1, y1, 1.0, copy(y2, L)); /* Compute loss */ - if (method == simple) { - loss = mean(L); - } else if (method == weighted) { + if (method == weighted) { colSumsK = elemApply(colSumsK, '-', 1.0, colSumsK); sumK = sum(colSumsK); loss = dot(L, '*', colSumsK) / sumK; - } else { - // TODO: error handling! + } else { /* simple */ + loss = mean(L); } /* Check if step is appropriate, iff not reduce learning rate. */ @@ -179,15 +175,13 @@ void cve(const mat *X, const mat *Y, const double h, break; } - if (method == simple) { - /* Calculate the scaling matrix S */ - S = laplace(adjacence(L, Y, y1, D, W, gauss, S), workMem); - } else if (method == weighted) { + if (method == weighted) { /* Calculate the scaling matrix S */ S = laplace(adjacence(L, Y, y1, D, K, gauss, S), workMem); c = agility / sumK; // n removed previousely - } else { - // TODO: error handling! + } else { /* simple */ + /* Calculate the scaling matrix S */ + S = laplace(adjacence(L, Y, y1, D, W, gauss, S), workMem); } /* Gradient */

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