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» Solving Generalized Small Inverse Problems
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ACISP
2010
Springer
13 years 6 months ago
Solving Generalized Small Inverse Problems
We introduce a "generalized small inverse problem (GSIP)" and present an algorithm for solving this problem. GSIP is formulated as finding small solutions of f(x0, x1, . ...
Noboru Kunihiro
CORR
2010
Springer
171views Education» more  CORR 2010»
13 years 5 months ago
Solving Inverse Problems with Piecewise Linear Estimators: From Gaussian Mixture Models to Structured Sparsity
A general framework for solving image inverse problems is introduced in this paper. The approach is based on Gaussian mixture models, estimated via a computationally efficient MAP...
Guoshen Yu, Guillermo Sapiro, Stéphane Mall...
SIAMNUM
2011
95views more  SIAMNUM 2011»
13 years 2 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
METMBS
2003
138views Mathematics» more  METMBS 2003»
13 years 6 months ago
A Stochastic Method for Solving Inverse Problems in Epidemic Modelling
— We describe a stochastic optimization method that can be used to solve inverse problems in epidemic modelling. Although in general it cannot be expected that these inverse prob...
Dominik Novotni, Andreas Weber 0004
SIAMMAX
2010
145views more  SIAMMAX 2010»
12 years 12 months ago
Adaptive First-Order Methods for General Sparse Inverse Covariance Selection
In this paper, we consider estimating sparse inverse covariance of a Gaussian graphical model whose conditional independence is assumed to be partially known. Similarly as in [5],...
Zhaosong Lu