Foundations of Coupled Nonlinear Dimensionality Reduction

29 Sep 2015Mehryar MohriAfshin RostamizadehDmitry Storcheus

In this paper we introduce and analyze the learning scenario of \emph{coupled nonlinear dimensionality reduction}, which combines two major steps of machine learning pipeline: projection onto a manifold and subsequent supervised learning. First, we present new generalization bounds for this scenario and, second, we introduce an algorithm that follows from these bounds... (read more)

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