Factorizing Multivariate Function Classes

Part of Advances in Neural Information Processing Systems 10 (NIPS 1997)

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Juan Lin


The mathematical framework for factorizing equivalence classes of multivariate functions is formulated in this paper. Independent component analysis is shown to be a special case of this decompo(cid:173) sition. Using only the local geometric structure of a class repre(cid:173) sentative, we derive an analytic solution for the factorization. We demonstrate the factorization solution with numerical experiments and present a preliminary tie to decorrelation.