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SIAMNUM
2011
95views more  SIAMNUM 2011»
13 years 9 days ago
A General Convergence Analysis of Some Newton-Type Methods for Nonlinear Inverse Problems
We consider the methods xδ n+1 = xδ n − gαn (F (xδ n)∗F (xδ n))F (xδ n)∗(F (xδ n)− yδ) for solving nonlinear ill-posed inverse problems F (x) = y using the only ava...
Qinian Jin
CORR
2011
Springer
206views Education» more  CORR 2011»
13 years 11 days ago
Convergence analysis of a proximal Gauss-Newton method
Abstract An extension of the Gauss-Newton algorithm is proposed to find local minimizers of penalized nonlinear least squares problems, under generalized Lipschitz assumptions. Co...
Saverio Salzo, Silvia Villa
CORR
2010
Springer
136views Education» more  CORR 2010»
13 years 2 months ago
An Inverse Power Method for Nonlinear Eigenproblems with Applications in 1-Spectral Clustering and Sparse PCA
Many problems in machine learning and statistics can be formulated as (generalized) eigenproblems. In terms of the associated optimization problem, computing linear eigenvectors a...
Matthias Hein, Thomas Bühler
COMPUTING
2007
122views more  COMPUTING 2007»
13 years 5 months ago
Error estimation for Bregman iterations and inverse scale space methods in image restoration
In this paper we consider error estimation for image restoration problems based on generalized Bregman distances. This error estimation technique has been used to derive convergen...
Martin Burger, E. Resmerita, Lin He
CG
2011
Springer
12 years 9 months ago
A projected back-tracking line-search for constrained interactive inverse kinematics
Inverse kinematics is the problem of manipulating the pose of an articulated figure in order to achieve a desired goal disregarding inertia and forces. One can approach the probl...
Morten Engell-Nørregård, Kenny Erlebe...