Department of Computer Science
Chair V

University of Bonn -> Department of Computer Science -> Chair V
CS-Reports 2008 Copyright 2008 University of Bonn, Department of Computer Science, Abt. V


Linear Time Approximation Schemes for the Gale-Berlekamp Game
and Related Minimization Problems

Marek Karpinski and Warren Schudy
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We design a linear time approximation scheme for the Gale-Berlekamp Switching Game and generalize it to a wider class of dense fragile minimization problems including the Nearest Codeword Problem (NCP) and Unique Games Problem. Further applications include, among other things, finding a constrained form of matrix rigidity and maximum likelihood decoding of an error correcting code. As another application of our method we give the first linear time approximation schemes for correlation clustering with a fixed number of clusters and its hierarchical generalization. Our results depend on a new technique for dealing with small objective function values of optimization problems and could be of independent interest.

Last Change: 11/05/14 at 10:40:33
University of Bonn -> Department of Computer Science -> Chair V