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FOCM
2008
100views more  FOCM 2008»
13 years 4 months ago
Optimal Control and Geodesics on Quadratic Matrix Lie Groups
In this paper, we consider some matrix subgroups of the general linear group and in particular the special linear group that are defined by a quadratic matrix identity. The Lie al...
Anthony M. Bloch, Peter E. Crouch, Jerrold E. Mars...
FOCM
2008
140views more  FOCM 2008»
13 years 4 months ago
Online Gradient Descent Learning Algorithms
This paper considers the least-square online gradient descent algorithm in a reproducing kernel Hilbert space (RKHS) without explicit regularization. We present a novel capacity i...
Yiming Ying, Massimiliano Pontil
FOCM
2008
156views more  FOCM 2008»
13 years 4 months ago
Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis Pursuit
We investigate the problem of reconstructing sparse multivariate trigonometric polynomials from few randomly taken samples by Basis Pursuit and greedy algorithms such as Orthogona...
Stefan Kunis, Holger Rauhut
FOCM
2008
100views more  FOCM 2008»
13 years 4 months ago
Meshfree Thinning of 3D Point Clouds
An efficient data reduction scheme for the simplification of a surface given by a large set X of 3D point-samples is proposed. The data reduction relies on a recursive point remov...
Nira Dyn, Armin Iske, Holger Wendland
FOCM
2008
100views more  FOCM 2008»
13 years 4 months ago
A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds
We consider the problem of finding a singularity of a differentiable vector field X defined on a complete Riemannian manifold. We prove a unified result for the existence and local...
Felipe Alvarez, Jérôme Bolte, Julien ...