Sciweavers

COCO
2006
Springer

Optimal Hardness Results for Maximizing Agreements with Monomials

14 years 2 months ago
Optimal Hardness Results for Maximizing Agreements with Monomials
We consider the problem of finding a monomial (or a term) that maximizes the agreement rate with a given set of examples over the Boolean hypercube. The problem is motivated by learning of monomials in the agnostic framework of Haussler [12] and Kearns et al. [17]. Finding a monomial with the highest agreement rate was proved to be NP-hard by Kearns and Li [15]. Ben-David et al. gave the first inapproximability result for this problem, proving that the maximum agreement rate is NP-hard to approximate within 770 767 - , for any constant > 0 [5]. The strongest known hardness of approximation result is due to Bshouty and Burroughs, who proved an inapproximability factor of 59 58 - [8]. We show that the agreement rate is NPhard to approximate within 2 - for any constant > 0. This is optimal up to the second order terms and resolves an open question due to Blum [6]. We extend this result to = 2- log1n for any constant > 0 under the assumption that NP RTIME(npoly log(n) ), thus a...
Vitaly Feldman
Added 20 Aug 2010
Updated 20 Aug 2010
Type Conference
Year 2006
Where COCO
Authors Vitaly Feldman
Comments (0)