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ADCM
2008
136views more  ADCM 2008»
13 years 5 months ago
Learning and approximation by Gaussians on Riemannian manifolds
Learning function relations or understanding structures of data lying in manifolds embedded in huge dimensional Euclidean spaces is an important topic in learning theory. In this ...
Gui-Bo Ye, Ding-Xuan Zhou
TSMC
2010
12 years 11 months ago
Distance Approximating Dimension Reduction of Riemannian Manifolds
We study the problem of projecting high-dimensional tensor data on an unspecified Riemannian manifold onto some lower dimensional subspace1 without much distorting the pairwise geo...
Changyou Chen, Junping Zhang, Rudolf Fleischer
JMLR
2010
136views more  JMLR 2010»
12 years 11 months ago
Approximate Riemannian Conjugate Gradient Learning for Fixed-Form Variational Bayes
Variational Bayesian (VB) methods are typically only applied to models in the conjugate-exponential family using the variational Bayesian expectation maximisation (VB EM) algorith...
Antti Honkela, Tapani Raiko, Mikael Kuusela, Matti...
ICRA
2007
IEEE
155views Robotics» more  ICRA 2007»
13 years 11 months ago
Value Function Approximation on Non-Linear Manifolds for Robot Motor Control
— The least squares approach works efficiently in value function approximation, given appropriate basis functions. Because of its smoothness, the Gaussian kernel is a popular an...
Masashi Sugiyama, Hirotaka Hachiya, Christopher To...
JMIV
2006
115views more  JMIV 2006»
13 years 4 months ago
Application of the Fisher-Rao Metric to Structure Detection
Abstract - Certain structure detection problems can be solved by sampling a parameter space for the different structures at a finite number of points and checking each point to see...
Stephen J. Maybank