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A selective review of sufficient dimension reduction for multivariate response regression (2202.00876v1)
Published 2 Feb 2022 in stat.ME, stat.CO, and stat.ML
Abstract: 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.