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» Dimensionality reduction and generalization
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101
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NIPS
2003
15 years 2 months ago
Optimal Manifold Representation of Data: An Information Theoretic Approach
We introduce an information theoretic method for nonparametric, nonlinear dimensionality reduction, based on the infinite cluster limit of rate distortion theory. By constraining...
Denis V. Chigirev, William Bialek
107
Voted
NIPS
2004
15 years 2 months ago
Proximity Graphs for Clustering and Manifold Learning
Many machine learning algorithms for clustering or dimensionality reduction take as input a cloud of points in Euclidean space, and construct a graph with the input data points as...
Miguel Á. Carreira-Perpiñán, ...
93
Voted
CVPR
2008
IEEE
16 years 2 months ago
Tensor reduction error analysis - Applications to video compression and classification
Tensor based dimensionality reduction has recently been extensively studied for computer vision applications. To our knowledge, however, there exist no rigorous error analysis on ...
Chris H. Q. Ding, Heng Huang, Dijun Luo
AAAI
2010
15 years 2 months ago
Conformal Mapping by Computationally Efficient Methods
Dimensionality reduction is the process by which a set of data points in a higher dimensional space are mapped to a lower dimension while maintaining certain properties of these p...
Stefan Pintilie, Ali Ghodsi
101
Voted
ICIP
2008
IEEE
16 years 2 months ago
On the estimation of geodesic paths on sampled manifolds under random projections
In this paper, we focus on the use of random projections as a dimensionality reduction tool for sampled manifolds in highdimensional Euclidean spaces. We show that geodesic paths ...
Mona Mahmoudi, Pierre Vandergheynst, Matteo Sorci