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» Mapping a Manifold of Perceptual Observations
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NIPS
1997
13 years 6 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
14 years 7 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
FGR
2004
IEEE
238views Biometrics» more  FGR 2004»
13 years 8 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
ICASSP
2009
IEEE
13 years 11 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
13 years 11 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