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PAMI
1998
84views more  PAMI 1998»
13 years 4 months ago
Intrinsic Dimensionality Estimation With Optimally Topology Preserving Maps
A new method for analyzing the intrinsic dimensionality (ID) of low dimensional manifolds in high dimensional feature spaces is presented. The basic idea is to rst extract a low-d...
Jörg Bruske, Gerald Sommer
ICANN
1997
Springer
13 years 8 months ago
Topology Representing Networks for Intrinsic Dimensionality Estimation
Abstract. In this paper we compare two methods for intrinsic dimensionality (ID) estimation based on optimally topology preserving maps (OTPMs). The rst one is a direct approach, w...
Jörg Bruske, Gerald Sommer
ICDM
2005
IEEE
165views Data Mining» more  ICDM 2005»
13 years 10 months ago
Orthogonal Neighborhood Preserving Projections
— Orthogonal Neighborhood Preserving Projections (ONPP) is a linear dimensionality reduction technique which attempts to preserve both the intrinsic neighborhood geometry of the ...
Effrosini Kokiopoulou, Yousef Saad
NIPS
2001
13 years 6 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
13 years 10 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