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» Mapping a Manifold of Perceptual Observations
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104
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NIPS
1997
15 years 1 months ago
Mapping a Manifold of Perceptual Observations
Nonlinear dimensionality reduction is formulated here as the problem of trying to find a Euclidean feature-space embedding of a set of observations that preserves as closely as p...
Joshua B. Tenenbaum
CVPR
2007
IEEE
16 years 1 months ago
Mapping Natural Image Patches by Explicit and Implicit Manifolds
Image patches are fundamental elements for object modeling and recognition. However, there has not been a panoramic study of the structures of the whole ensemble of natural image ...
Kent Shi, Song Chun Zhu
103
Voted
FGR
2004
IEEE
238views Biometrics» more  FGR 2004»
15 years 3 months ago
Nearest Manifold Approach for Face Recognition
Faces under varying illumination, pose and non-rigid deformation are empirically thought of as a highly nonlinear manifold in the observation space. How to discover intrinsic low-...
Junping Zhang, Stan Z. Li, Jue Wang
84
Voted
ICASSP
2009
IEEE
15 years 6 months ago
Connecting spectral and spring methods for manifold learning
Diffusion Maps (DiffMaps) has recently provided a general framework that unites many other spectral manifold learning algorithms, including Laplacian Eigenmaps, and it has become ...
Shannon M. Hughes, Peter J. Ramadge
CVPR
2008
IEEE
15 years 6 months ago
Modeling the structure of multivariate manifolds: Shape maps
We propose a shape population metric that reflects the interdependencies between points observed in a set of examples. It provides a notion of topology for shape and appearance m...
Georg Langs, Nikos Paragios