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 Computational Learning Theory







Estimating Average-Case Learning Curves Using Bayesian, Statistical Physics and VC Dimension Methods

Neural Information Processing Systems

In this paper we investigate an average-case model of concept learning, and give results that place the popular statistical physics and VC dimension theories of learning curve behavior in a common framework.



A training algorithm for optimum margin classifiers

Classics

Proceedings of the Fifth Annual Workshop on Computational Learning Theory 5: 144-152, 1992.


Learning Time-varying Concepts

Neural Information Processing Systems

This work extends computational learning theory to situations in which concepts vary over time, e.g., system identification of a time-varying plant. We have extended formal definitions of concepts and learning to provide a framework in which an algorithm can track a concept as it evolves over time. Given this framework and focusing on memory-based algorithms, we have derived some PACstyle sample complexity results that determine, for example, when tracking is feasible. We have also used a similar framework and focused on incremental tracking algorithms for which we have derived some bounds on the mistake or error rates for some specific concept classes. 1 INTRODUCTION The goal of our ongoing research is to extend computational learning theory to include concepts that can change or evolve over time. For example, face recognition is complicated by the fact that a persons face changes slowly with age and more quickly with changes in make up, hairstyle, or facial hair.