关键词: 两类Fisher鉴别准则, 大间距线性投影准则, 最大散度差鉴别准则, 多目标规划

Abstract: Binary Fisher discriminant criterion，large margin linear projection criterion，and maximum scatter difference discriminant criterion are all binary linear discriminant criteria which can be directly used in pattern recognition.The common ground of these criteria is that they all determine the optimal projection axis based on the separability of projected samples.The differences are their definitions of the separability of projected samples.Previous studies show that large margin linear projection classifiers and support vector machines，large margin linear projection criterion and maximum scatter difference discriminant criterion，and maximum scatter difference discriminant criterion and binary Fisher discriminant criterion are closely related.Based on previous results，discover the intrinsic relationships between these criteria and establish an overall framework for these binary linear discriminant criteria based on the separability of projected samples in this paper.

Key words: binary Fisher discriminant criterion, large margin linear projection criterion, maximum scatter difference discriminant criterion, multiple objective programming