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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D O I：

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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