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SIAMIS
2010
141views more  SIAMIS 2010»
14 years 11 months ago
Optimization by Stochastic Continuation
Simulated annealing (SA) and deterministic continuation are well-known generic approaches to global optimization. Deterministic continuation is computationally attractive but produ...
Marc C. Robini, Isabelle E. Magnin
SIAMJO
2010
130views more  SIAMJO 2010»
14 years 11 months ago
A Randomized Cutting Plane Method with Probabilistic Geometric Convergence
Abstract. We propose a randomized method for general convex optimization problems; namely, the minimization of a linear function over a convex body. The idea is to generate N rando...
Fabrizio Dabbene, P. S. Shcherbakov, Boris T. Poly...
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SIAMMAX
2010
104views more  SIAMMAX 2010»
14 years 11 months ago
The Legendre-Fenchel Conjugate of the Product of Two Positive Definite Quadratic Forms
It is well-known that the Legendre-Fenchel conjugate of a positive definite quadratic form can be explicitly expressed as another positive definite quadratic form, and that the con...
Yun-Bin Zhao
SIAMMAX
2010
164views more  SIAMMAX 2010»
14 years 11 months ago
Uniqueness of Low-Rank Matrix Completion by Rigidity Theory
The problem of completing a low-rank matrix from a subset of its entries is often encountered in the analysis of incomplete data sets exhibiting an underlying factor model with app...
Amit Singer, Mihai Cucuringu
SIAMMAX
2010
224views more  SIAMMAX 2010»
14 years 11 months ago
Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices
Abstract. Given a symmetric positive definite matrix A, we compute a structured approximate Cholesky factorization A RT R up to any desired accuracy, where R is an upper triangula...
Jianlin Xia, Ming Gu
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