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» Information Preserving Dimensionality Reduction
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NIPS
2001
13 years 11 months ago
Laplacian Eigenmaps and Spectral Techniques for Embedding and Clustering
Drawing on the correspondence between the graph Laplacian, the Laplace-Beltrami operator on a manifold, and the connections to the heat equation, we propose a geometrically motiva...
Mikhail Belkin, Partha Niyogi
SIGIR
2005
ACM
14 years 3 months ago
Orthogonal locality preserving indexing
We consider the problem of document indexing and representation. Recently, Locality Preserving Indexing (LPI) was proposed for learning a compact document subspace. Different from...
Deng Cai, Xiaofei He
ICASSP
2009
IEEE
14 years 4 months ago
An information geometric approach to supervised dimensionality reduction
Due to the curse of dimensionality, high-dimensional data is often pre-processed with some form of dimensionality reduction for the classification task. Many common methods of su...
Kevin M. Carter, Raviv Raich, Alfred O. Hero
NIPS
2008
13 years 11 months ago
Diffeomorphic Dimensionality Reduction
This paper introduces a new approach to constructing meaningful lower dimensional representations of sets of data points. We argue that constraining the mapping between the high a...
Christian Walder, Bernhard Schölkopf
CDC
2009
IEEE
161views Control Systems» more  CDC 2009»
14 years 2 months ago
Network structure preserving model reduction with weak a priori structural information
— This paper extends a state projection method for structure preserving model reduction to situations where only a weaker notion of system structure is available. This weaker not...
Enoch Yeung, Jorge M. Goncalves, Henrik Sandberg, ...