THEORY OF APPROXIMATION OF PATTERN SETS BASED ON THE epsilon -ENTROPY THEORY.

被引：0
|
作者：
Kondo, Syozo
机构：
来源：
Systems - Computers - Controls | 1973年 / 4卷 / 05期
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暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Investigation of the approximation problem of the pattern set by means of the n-diameter and epsilon -entropy of a set, which are quantities that reflect topological characteristics of the set itself. It is found that the pattern distance derived from a norm is of a restricted type, for it must satisfy transitivity and homogeneity. Distances not obeying transitivity or homogeneity are quite conceivable, but they cannot be treated by the epsilon -entropy theory of the Hilbert space.
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