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MP
2007
76views more  MP 2007»
13 years 5 months ago
Universal duality in conic convex optimization
Given a primal-dual pair of linear programs, it is well known that if their optimal values are viewed as lying on the extended real line, then the duality gap is zero, unless both...
Simon P. Schurr, André L. Tits, Dianne P. O...
MOR
2010
120views more  MOR 2010»
13 years 4 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...
SIAMCOMP
2010
94views more  SIAMCOMP 2010»
13 years 4 months ago
Local Monotonicity Reconstruction
We propose a general model of local property reconstruction. Suppose we have a function f on domain Γ, which is supposed to have a particular property P, but may not have the pro...
Michael E. Saks, C. Seshadhri
WG
2010
Springer
13 years 4 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
SODA
2010
ACM
174views Algorithms» more  SODA 2010»
13 years 3 months ago
Differentially Private Combinatorial Optimization
Consider the following problem: given a metric space, some of whose points are "clients," select a set of at most k facility locations to minimize the average distance f...
Anupam Gupta, Katrina Ligett, Frank McSherry, Aaro...