Factorizing Multivariate Function Classes
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TL;DR
The mathematical framework for factorizing equivalence classes of multivariate functions is formulated and independent component analysis is shown to be a special case of this decomposition.
Abstract
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-sition. Using only the local geometric structure of a class repre-sentative, we derive an analytic solution for the factorization. We demonstrate the factorization solution with numerical experiments and present a preliminary tie to decorrelation. 1