<?xml version="1.0" encoding="UTF-8"?>
<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:title>Estimation of Generalized Matrix Factorization Models via
Stochastic Gradient Descent</dc:title>
  <dc:title>R package sgdGMF version 1.0.1</dc:title>
  <dc:description>Efficient framework to estimate high-dimensional generalized matrix factorization models using penalized maximum likelihood under a dispersion exponential family specification. Either deterministic and stochastic methods are implemented for the numerical maximization. In particular, the package implements the stochastic gradient descent algorithm with a block-wise mini-batch strategy to speed up the computations and an efficient adaptive learning rate schedule to stabilize the convergence. All the theoretical details can be found in Castiglione et al. (2024, &lt;doi:10.48550/arXiv.2412.20509&gt;). Other methods considered for the optimization are the alternated iterative re-weighted least squares and the quasi-Newton method with diagonal approximation of the Fisher information matrix discussed in Kidzinski et al. (2022, &lt;http://jmlr.org/papers/v23/20-1104.html&gt;).</dc:description>
  <dc:type>Software</dc:type>
  <dc:relation>Depends: R (&gt;= 4.0.0), ggplot2</dc:relation>
  <dc:relation>Imports: Rcpp (&gt;= 1.0.10), RcppArmadillo, RSpectra, parallel,
doParallel, foreach, MASS, SuppDists, methods, generics,
reshape2, ggpubr, viridisLite</dc:relation>
  <dc:relation>LinkingTo: Rcpp, RcppArmadillo</dc:relation>
  <dc:relation>Suggests: testthat (&gt;= 3.0.0), Rtsne, dplyr, knitr, rmarkdown</dc:relation>
  <dc:creator>Cristian Castiglione &lt;cristian_castiglione@libero.it&gt;</dc:creator>
  <dc:publisher>Comprehensive R Archive Network (CRAN)</dc:publisher>
  <dc:contributor>Cristian Castiglione [aut, cre] (ORCID:
    &lt;https://orcid.org/0000-0001-5883-4890&gt;),
  Davide Risso [ctb] (ORCID: &lt;https://orcid.org/0000-0001-8508-5012&gt;),
  Alexandre Segers [ctb] (ORCID: &lt;https://orcid.org/0009-0004-2028-7595&gt;)</dc:contributor>
  <dc:rights>MIT + file LICENSE (https://CRAN.R-project.org/package=sgdGMF/LICENSE)</dc:rights>
  <dc:date>2025-05-17</dc:date>
  <dc:format>application/tgz</dc:format>
  <dc:identifier>https://CRAN.R-project.org/package=sgdGMF</dc:identifier>
  <dc:identifier>doi:10.32614/CRAN.package.sgdGMF</dc:identifier>
</oai_dc:dc>
