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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
2005
IEEE
15 years 10 months ago
Analysis and extension of spectral methods for nonlinear dimensionality reduction
Many unsupervised algorithms for nonlinear dimensionality reduction, such as locally linear embedding (LLE) and Laplacian eigenmaps, are derived from the spectral decompositions o...
Fei Sha, Lawrence K. Saul
CVPR
2006
IEEE
15 years 11 months ago
Automatic Kinematic Chain Building from Feature Trajectories of Articulated Objects
We investigate the problem of learning the structure of an articulated object, i.e. its kinematic chain, from feature trajectories under affine projections. We demonstrate this po...
Jingyu Yan, Marc Pollefeys
NIPS
2004
14 years 11 months ago
Hierarchical Eigensolver for Transition Matrices in Spectral Methods
We show how to build hierarchical, reduced-rank representation for large stochastic matrices and use this representation to design an efficient algorithm for computing the largest...
Chakra Chennubhotla, Allan D. Jepson
ALT
2010
Springer
14 years 6 months ago
A Spectral Approach for Probabilistic Grammatical Inference on Trees
We focus on the estimation of a probability distribution over a set of trees. We consider here the class of distributions computed by weighted automata - a strict generalization of...
Raphaël Bailly, Amaury Habrard, Franço...