Variational Gram Functions: Convex Analysis and Optimization

16 Jul 2015Amin JalaliMaryam FazelLin Xiao

We propose a new class of convex penalty functions, called \emph{variational Gram functions} (VGFs), that can promote pairwise relations, such as orthogonality, among a set of vectors in a vector space. These functions can serve as regularizers in convex optimization problems arising from hierarchical classification, multitask learning, and estimating vectors with disjoint supports, among other applications... (read more)

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