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ICPR
2006
IEEE
16 years 7 days ago
Graph-based transformation manifolds for invariant pattern recognition with kernel methods
We present here an approach for applying the technique of modeling data transformation manifolds for invariant learning with kernel methods. The approach is based on building a ke...
Alexei Pozdnoukhov, Samy Bengio
ICIP
1998
IEEE
15 years 3 months ago
Segmentation as a Riemannian Drum Problem
1 In this paper, the segmentation problem is formulated as a problem of segmenting a Riemannian manifold. The image domain is endowed with an anisotropic metric and its segmentatio...
Jayant Shah
NN
2008
Springer
101views Neural Networks» more  NN 2008»
14 years 11 months ago
On multidimensional scaling and the embedding of self-organising maps
The self-organising map (SOM) and its variant, visualisation induced SOM (ViSOM), have been known to yield similar results to multidimensional scaling (MDS). However, the exact co...
Hujun Yin
CORR
2010
Springer
117views Education» more  CORR 2010»
14 years 11 months ago
Stability of Reeb graphs under function perturbations: the case of closed curves
ABSTRACT. Reeb graphs provide a method for studying the shape of a manifold by encoding the evolution and arrangement of level sets of a simple Morse function defined on
Barbara Di Fabio, Claudia Landi
DM
2000
88views more  DM 2000»
14 years 11 months ago
Edge isoperimetric inequalities for product graphs
It is well known that there is a simple equivalence between isoperimetric inequalities and certain analytic inequalities in Riemannian manifolds (see Rothaus, J. Funct. Anal. 64 (...
Jean-Pierre Tillich