High Dimensional Locally-Linear Mapping R package xLLiM version 2.3.1 Provides a tool for non linear mapping (non linear regression) using a mixture of regression model and an inverse regression strategy. The methods include the GLLiM model (see Deleforge et al (2015) <DOI:10.1007/s11222-014-9461-5>) based on Gaussian mixtures and a robust version of GLLiM, named SLLiM (see Perthame et al (2016) <DOI:10.1016/j.jmva.2017.09.009>) based on a mixture of Generalized Student distributions. The methods also include BLLiM (see Blein--Nicolas et al (2024) <DOI:10.1093/jrsssc/qlae012>) which is an extension of GLLiM with a sparse block diagonal structure for large covariance matrices (particularly interesting for transcriptomic data). Software Imports: MASS,abind,corpcor,Matrix,igraph,capushe,glmnet,randomForest,e1071,mda,progress,mixOmics Emeline Perthame <emeline.perthame@pasteur.fr> Comprehensive R Archive Network (CRAN) Emeline Perthame [aut, cre] (emeline.perthame@inria.fr), Florence Forbes [aut] (florence.forbes@inria.fr), Antoine Deleforge [aut] (antoine.deleforge@inria.fr), Emilie Devijver [aut] (emilie.devijver@univ-grenoble-alpes.fr), Melina Gallopin [aut] (melina.gallopin@u-psud.fr) GPL (>= 2) 2026-03-02 application/tgz https://CRAN.R-project.org/package=xLLiM doi:10.32614/CRAN.package.xLLiM