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Nonlinear data projection on non-Euclidean manifolds with controlled trade-off between trustworthiness and continuity

Description : This paper presents a framework for nonlinear dimensionality reduction methods aimed at projecting data on a non-Euclidean manifold, when their structure is too complex to be embedded in an Euclidean space. The methodology proposes an optimization procedure on manifolds to minimize a pairwise distan...
Language(s) : English
Subject(s) : Nonlinear Dimensionality Reduction , Distance-based Data Projection Method , Trade-off Between Trustworthiness And Continuity , Optimization On Manifolds
Publisher(s) : Amsterdam Elsevier Science Bv
Contributor(s) : UCL - FSA/INMA - Département d'ingénierie mathématique , UCL - FSA/ELEC - Département d'électricité
Source(s) :
Publication Date(s) : 2009-01-01