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SIAMNUM
2011
95views more  SIAMNUM 2011»
13 years 2 months 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
DISOPT
2008
113views more  DISOPT 2008»
13 years 7 months ago
The inverse 1-median problem on a cycle
Abstract. Let the graph G = (V, E) be a cycle with n + 1 vertices, nonnegative vertex weights and positive edge lengths. The inverse 1-median problem on a cycle consists in changin...
Rainer E. Burkard, Carmen Pleschiutschnig, Jianzho...
SIAMSC
2008
179views more  SIAMSC 2008»
13 years 7 months ago
Multigrid Algorithms for Inverse Problems with Linear Parabolic PDE Constraints
Abstract. We present a multigrid algorithm for the solution of distributed parameter inverse problems constrained by variable-coefficient linear parabolic partial differential equa...
Santi S. Adavani, George Biros
ISBI
2007
IEEE
14 years 1 months ago
Space-Time Sparsity Regularization for the Magnetoencephalography Inverse Problem
The concept of “Space-Time Sparsity” (STS) penalization is introduced for solving the magnetoencephalography (MEG) inverse problem. The STS approach assumes that events of int...
Andrew K. Bolstad, Barry D. Van Veen, Robert D. No...
ICIP
2003
IEEE
14 years 9 months ago
A Bayesian approach to inclusion and performance analysis of using extra information in bioelectric inverse problems
Due to attenuation and spatial smoothing that occurs in the conducting media, the bioelectric inverse problem of estimating sources from remote measurements is ill-posed and solut...
Yesim Serinagaoglu, Dana H. Brooks, Robert S. MacL...