On The Vc-dimension Of Binary Codes | Awesome Learning to Hash Add your paper to Learning2Hash

On The Vc-dimension Of Binary Codes

Hu Sihuang, Weinberger Nir, Shayevitz Ofer. SIAM J. Discrete Math. 2017

[Paper]    

We investigate the asymptotic rates of length-n binary codes with VC-dimension at most dn and minimum distance at least δn. 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.

Similar Work