Path: utzoo!attcan!uunet!lll-winken!lll-tis!helios.ee.lbl.gov!pasteur!agate!bionet!apple!bloom-beacon!tut.cis.ohio-state.edu!husc6!linus!mbunix!bwk From: bwk@mitre-bedford.ARPA (Barry W. Kort) Newsgroups: comp.ai Subject: Re: Valiant's Learning Model Summary: Some classical learning models. Keywords: Computational Learning Theory Message-ID: <41644@linus.UUCP> Date: 8 Nov 88 13:44:38 GMT References: <6083@techunix.BITNET> Sender: news@linus.UUCP Reply-To: bwk@mbunix (Kort) Organization: The MITRE Corporation, Bedford, Mass. Lines: 13 In article <6083@techunix.BITNET> dario@techunix.BITNET (Dario Ringach) writes: > Has anyone attempted to approach learning as a discrete time Markov > process on the hypothesis space H? For instance at any time k let > h1=h(k) be the current hypothesis obviously there is defined for any > h2 in H a transition probability P(h(h+1)=h2|h(k)=h1) that depends > on the probability distribution Px and the learning algorithm A. Look into Bayesian inference, Kalman filtering, and Kailath's Innovations Process. In each of these approaches, a current best guess is updated as new information comes in. I believe Widrow's adaptive networks also exhibit such behavior. --Barry Kort