南京气象学院学报2001，Vol.24Issue(1)：74-82,9.
离散过程表征空间维数压缩的熵逼近
AN ENTROPIC APPROACH TO DIMENSIONALITY REDUCTION IN THE REPRESENTATION SPACE ON DISCRETE PROCESSES
陈舜华 1吕纯濂2
作者信息
- 1. 南京气象学院环境科学系,
- 2. 南京气象学院数学系,
- 折叠
摘要
Abstract
This paper generalizes a method for class discrimination with the purpose of formulating dynamic random models starting from sample information. Such technique pursues,through the study of the eigenvalues, the reduction of the dimensionality in the representation space. We also describe an algorithm that allows the reconstruction and the approximation by dimensionality reduction for the original information. An illustration with a theoretical model reveals the great compression power produced by this scheme ,as well as the goodness of the approximations by dimensionality reduction. Two-class case is briefly discussed and an algorithm for reconstruction and classification is suggested. An application to meteorological data shows results similar to the one-class case as far as dimensionality reduction goes. A reasonable classification rate is also obtained.
关键词
相关矩阵/维数压缩/熵函数/正交分解分类
数理科学引用本文复制引用
陈舜华,吕纯濂..离散过程表征空间维数压缩的熵逼近[J].南京气象学院学报,2001,24(1):74-82,9.
