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» Fast matrix rank algorithms and applications
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STOC
2001
ACM
138views Algorithms» more  STOC 2001»
14 years 5 months ago
Fast computation of low rank matrix
Given a matrix A, it is often desirable to find a good approximation to A that has low rank. We introduce a simple technique for accelerating the computation of such approximation...
Dimitris Achlioptas, Frank McSherry
SIAMSC
2011
219views more  SIAMSC 2011»
13 years 6 days ago
Fast Algorithms for Bayesian Uncertainty Quantification in Large-Scale Linear Inverse Problems Based on Low-Rank Partial Hessian
We consider the problem of estimating the uncertainty in large-scale linear statistical inverse problems with high-dimensional parameter spaces within the framework of Bayesian inf...
H. P. Flath, Lucas C. Wilcox, Volkan Akcelik, Judi...
SIAMCOMP
2010
172views more  SIAMCOMP 2010»
13 years 10 hour ago
Deterministic Polynomial Time Algorithms for Matrix Completion Problems
We present new deterministic algorithms for several cases of the maximum rank matrix completion problem (for short matrix completion), i.e. the problem of assigning values to the ...
Gábor Ivanyos, Marek Karpinski, Nitin Saxen...
SIAMSC
2008
142views more  SIAMSC 2008»
13 years 5 months ago
A Fast Direct Solver for the Biharmonic Problem in a Rectangular Grid
We present a fast direct solver methodology for the Dirichlet biharmonic problem in a rectangle. The solver is applicable in the case of the second order Stephenson scheme [34] as ...
Matania Ben-Artzi, Jean-Pierre Croisille, Dalia Fi...
FOCM
2011
175views more  FOCM 2011»
13 years 7 days ago
Convergence of Fixed-Point Continuation Algorithms for Matrix Rank Minimization
The matrix rank minimization problem has applications in many fields such as system identification, optimal control, low-dimensional embedding etc. As this problem is NP-hard in ...
Donald Goldfarb, Shiqian Ma