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.

翻译：我们在本文件中审查了具有多变反应的充分的维度减少估计值(SDR),广泛的特别提款权方法被定性为反回归特别提款权估计值或前回归特别提款权估计值。反回归组包括集合边际估计值、投影抽样估计值和远程估计值。 而普通最低方形、部分最低方形和半对称特别提款权估计值则作为前回归组的估计值加以讨论。