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» Regularized Principal Manifolds
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CVPR
2000
IEEE
14 years 9 months ago
A Formal Classification of 3D Medial Axis Points and Their Local Geometry
This paper proposes a novel hypergraph skeletal representation for 3D shape based on a formal derivation of the generic structure of its medial axis. By classifying each skeletal ...
Peter J. Giblin, Benjamin B. Kimia
BMVC
2010
13 years 5 months ago
Iterative Hyperplane Merging: A Framework for Manifold Learning
We present a framework for the reduction of dimensionality of a data set via manifold learning. Using the building blocks of local hyperplanes we show how a global manifold can be...
Harry Strange, Reyer Zwiggelaar
FGR
2004
IEEE
107views Biometrics» more  FGR 2004»
13 years 11 months ago
Intra-Personal Kernel Space for Face Recognition
Intra-personal space modeling proposed by Moghaddam et. al. has been successfully applied in face recognition. In their work the regular principal subspaces are derived from the i...
Shaohua Kevin Zhou, Rama Chellappa, Baback Moghadd...
COLT
2006
Springer
13 years 11 months ago
Uniform Convergence of Adaptive Graph-Based Regularization
Abstract. The regularization functional induced by the graph Laplacian of a random neighborhood graph based on the data is adaptive in two ways. First it adapts to an underlying ma...
Matthias Hein
PAKDD
2005
ACM
168views Data Mining» more  PAKDD 2005»
14 years 1 months ago
Adaptive Nonlinear Auto-Associative Modeling Through Manifold Learning
We propose adaptive nonlinear auto-associative modeling (ANAM) based on Locally Linear Embedding algorithm (LLE) for learning intrinsic principal features of each concept separatel...
Junping Zhang, Stan Z. Li