笔记与通讯:解决LP判别分析公式的某些困难并提高其分类能力

Notes and Communications RESOLVING CERTAIN DIFFICULTIES AND IMPROVING THE CLASSIFICATION POWER OF LP DISCRIMINANT ANALYSIS FORMULATIONS

DECISION SCIENCES · 1986
被引 70
人大 AABS 3

中文导读

针对线性规划判别分析中的困难,提出基于归一化的简单解决方法,并证明一种平移不变的归一化方法,最后讨论用更一般模型改进判别效果。

Abstract

ABSTRACT In certain settings, difficulties arise that limit the effectiveness of LP formulations for the discriminant problem. Explanations and possible remedies have been offered, but these have had only limited success. We provide a simple way to overcome these problems based on an appropriate use and interpretation of normalizations. In addition, we demonstrate a normalization that is invariant under all translations of the problem data, providing a stability property not shared by previous approaches. Finally, we discuss the possibility of using more general models to improve discrimination.

线性判别分析数学规划机器学习分类方法