中文

msPCA: An R Package for Sparse PCA with Multiple Components

机器学习 2026-07-06 v1 机器学习 统计方法学

摘要

We present msPCA: an open-source R package for sparse principal component analysis with multiple components. It implements an alternating maximization algorithm to generate a set of sparse loading vectors that collectively explain a large fraction of the variance in a dataset, while remaining non-redundant. The algorithm supports two definitions of non-redundancy: either orthogonality of the loading vectors or zero pairwise correlation between principal components (PCs). In the reported benchmarks, msPCA solves sparse PCA problems with thousands of features, achieving competitive runtimes while producing sparse components with controlled feasibility violations and a high fraction of variance explained.

引用

@article{arxiv.2607.05229,
  title  = {msPCA: An R Package for Sparse PCA with Multiple Components},
  author = {Ryan Cory-Wright and Jean Pauphilet},
  journal= {arXiv preprint arXiv:2607.05229},
  year   = {2026}
}