On the VC-Dimension of Binary Codes

被引：0
|
作者：
Hu, Sihuang [1 ]
Weinberger, Nir [1 ]
Shayevitz, Ofer [1 ]
机构：
[1] Tel Aviv Univ, Tel Aviv, Israel
来源：
2017 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT) | 2017年
关键词：
VAPNIK-CHERVONENKIS DIMENSION; FINITE MARKOV-CHAINS; LIMIT-THEOREMS; BOUNDS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We investigate the asymptotic rates of length-n binary codes with VC-dimension at most dn and minimum distance at least delta n. Two upper bounds are obtained, one as a simple corollary of a result by Haussler and the other via a shortening approach combining Sauer-Shelah lemma and the linear programming bound. Two lower bounds are given using Gilbert-Varshamov type arguments over constant-weight and Markov-type sets.
引用
收藏
页码：594 / 598
页数：5
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