Proof of a Combinatorial Conjecture Coming from the PAC-Bayesian Machine Learning Theory
Combinatorics
2012-09-06 v1
Abstract
We give a proof of a conjecture of A. Lacasse in his doctoral thesis which has applications in machine learning algorithms. The proof relies on some interesting binomial sums identities introduced by Abel (1839), and on their generalization to the multinomial case by Hurwitz (1902).
Keywords
Cite
@article{arxiv.1209.0824,
title = {Proof of a Combinatorial Conjecture Coming from the PAC-Bayesian Machine Learning Theory},
author = {Malik Younsi},
journal= {arXiv preprint arXiv:1209.0824},
year = {2012}
}