# A selective review of sufficient dimension reduction for multivariate response regression

arXiv: https://arxiv.org/abs/2202.00876 · HTML: https://mlsanity.com/paper/2202.00876/

## Key facts

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- First posted on arXiv 2 Feb 2022.

## Abstract (arXiv)

We review sufficient dimension reduction (SDR) estimators with multivariate response in this paper. A wide range of SDR methods are characterized as inverse regression SDR estimators or forward regression SDR estimators. The inverse regression family include pooled marginal estimators, projective resampling estimators, and distance-based estimators. Ordinary least squares, partial least squares, and semiparametric SDR estimators, on the other hand, are discussed as estimators from the forward regression family.