In this paper we develop the method of bounding the generalization error of a classifier in terms of its margin distribution which was introduced in the recent papers of Bartlett and Schapire, Freund, Bartlett and Lee. The theory of Gaussian and empirical processes allow us to prove the margin type inequalities for the most general functional classes, the complexity of the class being measured ...

An accelerated first-order method for solving SOS relaxations of unconstrained polynomial optimization problems Dimitris Bertsimas , Robert M. Freund & Xu Andy Sun To cite this article: Dimitris Bertsimas , Robert M. Freund & Xu Andy Sun (2013) An accelerated first-order method for solving SOS relaxations of unconstrained polynomial optimization problems, Optimization Methods and Software, 28:3...

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