Nonlinear dimensionality reduction of data manifolds with essential loops

Authors:
John Aldo Lee;Michel Verleysen
Affiliations:
Université Catholique de Louvain, Microelectronics Laboratory, Place du Levant 3, B-1348 Louvain-la-Neuve, Belgium;Université Catholique de Louvain, Microelectronics Laboratory, Place du Levant 3, B-1348 Louvain-la-Neuve, Belgium
Venue:
Neurocomputing
Year:
2005

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Abstract

Studies on learning problems from geometry perspective have attracted an ever increasing attention in machine learning, leaded by achievements on information geometry. This paper proposes a different geometrical learning from the perspective of high-dimensional ...