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MOR
2010
108views more  MOR 2010»
13 years 3 months ago
Accuracy Certificates for Computational Problems with Convex Structure
The goal of the current paper is to introduce the notion of certificates which verify the accuracy of solutions of computational problems with convex structure; such problems inc...
Arkadi Nemirovski, Shmuel Onn, Uriel G. Rothblum
ICCV
2009
IEEE
14 years 10 months ago
Convex Optimization for Multi-Class Image Labeling with a Novel Family of Total Variation Based Regularizers
We introduce a linearly weighted variant of the total variation for vector fields in order to formulate regularizers for multi-class labeling problems with non-trivial interclass...
J. Lellmann, F. Becker, C. Schn¨orr
MP
2010
162views more  MP 2010»
13 years 3 months ago
Approximation accuracy, gradient methods, and error bound for structured convex optimization
Convex optimization problems arising in applications, possibly as approximations of intractable problems, are often structured and large scale. When the data are noisy, it is of i...
Paul Tseng
ESA
2008
Springer
99views Algorithms» more  ESA 2008»
13 years 6 months ago
Robust Kinetic Convex Hulls in 3D
Abstract. Kinetic data structures provide a framework for computing combinatorial properties of continuously moving objects. Although kinetic data structures for many problems have...
Umut A. Acar, Guy E. Blelloch, Kanat Tangwongsan, ...
FOCM
2010
97views more  FOCM 2010»
13 years 3 months ago
Self-Concordant Barriers for Convex Approximations of Structured Convex Sets
We show how to approximate the feasible region of structured convex optimization problems by a family of convex sets with explicitly given and efficient (if the accuracy of the ap...
Levent Tunçel, Arkadi Nemirovski