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SIAMJO
2010
92views more  SIAMJO 2010»
8 years 5 months ago
Inexact Proximal Point Methods for Variational Inequality Problems
We present a new family of proximal point methods for solving monotone variational inequalities. Our algorithm has a relative error tolerance criterion in solving the proximal subp...
Regina Sandra Burachik, Joydeep Dutta
CORR
2011
Springer
261views Education» more  CORR 2011»
8 years 5 months ago
Convex and Network Flow Optimization for Structured Sparsity
We consider a class of learning problems regularized by a structured sparsity-inducing norm defined as the sum of 2- or ∞-norms over groups of variables. Whereas much effort ha...
Julien Mairal, Rodolphe Jenatton, Guillaume Obozin...
SIAMJO
2010
84views more  SIAMJO 2010»
8 years 8 months ago
A Redistributed Proximal Bundle Method for Nonconvex Optimization
Proximal bundle methods have been shown to be highly successful optimization methods for unconstrained convex problems with discontinuous first derivatives. This naturally leads ...
Warren Hare, Claudia A. Sagastizábal
MOR
2010
120views more  MOR 2010»
8 years 8 months ago
Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz In
We study the convergence properties of an alternating proximal minimization algorithm for nonconvex structured functions of the type: L(x, y) = f(x)+Q(x, y)+g(y), where f : Rn → ...
Hedy Attouch, Jérôme Bolte, Patrick R...
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