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» Constrained Laplacian Eigenmap for dimensionality reduction
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77
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CVPR
2008
IEEE
15 years 11 months ago
Large-scale manifold learning
This paper examines the problem of extracting lowdimensional manifold structure given millions of highdimensional face images. Specifically, we address the computational challenge...
Ameet Talwalkar, Sanjiv Kumar, Henry A. Rowley
81
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ICONIP
2004
14 years 11 months ago
Non-linear Dimensionality Reduction by Locally Linear Isomaps
Algorithms for nonlinear dimensionality reduction (NLDR) find meaningful hidden low-dimensional structures in a high-dimensional space. Current algorithms for NLDR are Isomaps, Loc...
Ashutosh Saxena, Abhinav Gupta, Amitabha Mukerjee
ICML
2010
IEEE
14 years 10 months ago
The Elastic Embedding Algorithm for Dimensionality Reduction
We propose a new dimensionality reduction method, the elastic embedding (EE), that optimises an intuitive, nonlinear objective function of the low-dimensional coordinates of the d...
Miguel Á. Carreira-Perpiñán
ICML
2006
IEEE
15 years 10 months ago
A duality view of spectral methods for dimensionality reduction
We present a unified duality view of several recently emerged spectral methods for nonlinear dimensionality reduction, including Isomap, locally linear embedding, Laplacian eigenm...
Lin Xiao, Jun Sun 0003, Stephen P. Boyd
ICML
2007
IEEE
15 years 10 months ago
Regression on manifolds using kernel dimension reduction
We study the problem of discovering a manifold that best preserves information relevant to a nonlinear regression. Solving this problem involves extending and uniting two threads ...
Jens Nilsson, Fei Sha, Michael I. Jordan