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» Regularized Principal Manifolds
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CVPR
2003
IEEE
14 years 9 months ago
Learning Appearance and Transparency Manifolds of Occluded Objects in Layers
By mapping a set of input images to points in a lowdimensional manifold or subspace, it is possible to efficiently account for a small number of degrees of freedom. For example, i...
Brendan J. Frey, Nebojsa Jojic, Anitha Kannan
SIAMIS
2010
152views more  SIAMIS 2010»
13 years 2 months ago
Nonparametric Regression between General Riemannian Manifolds
We study nonparametric regression between Riemannian manifolds based on regularized empirical risk minimization. Regularization functionals for mappings between manifolds should re...
Florian Steinke, Matthias Hein, Bernhard Schö...
NN
2002
Springer
226views Neural Networks» more  NN 2002»
13 years 7 months ago
Data visualisation and manifold mapping using the ViSOM
The self-organising map (SOM) has been successfully employed as a nonparametric method for dimensionality reduction and data visualisation. However, for visualisation the SOM requ...
Hujun Yin
IJCNN
2007
IEEE
14 years 2 months ago
Branching Principal Components: Elastic Graphs, Topological Grammars and Metro Maps
— To approximate complex data, we propose new type of low-dimensional “principal object”: principal cubic complex. This complex is a generalization of linear and nonlinear pr...
Alexander N. Gorban, Neil R. Sumner, Andrei Yu. Zi...
ECCV
2002
Springer
14 years 9 months ago
Representing Edge Models via Local Principal Component Analysis
Edge detection depends not only upon the assumed model of what an edge is, but also on how this model is represented. The problem of how to represent the edge model is typically ne...
Patrick S. Huggins, Steven W. Zucker