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» Approximation Algorithms for Min-Max Generalization Problems
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COMPGEOM
2006
ACM
14 years 2 months ago
Algorithms for two-box covering
We study the problem of covering a set of points or polyhedra in 3 with two axis-aligned boxes in order to minimize a function of the measures of the two boxes, such as the sum or...
Esther M. Arkin, Gill Barequet, Joseph S. B. Mitch...
SODA
2008
ACM
128views Algorithms» more  SODA 2008»
13 years 10 months ago
Analysis of greedy approximations with nonsubmodular potential functions
In this paper, we present two techniques to analyze greedy approximation with nonsubmodular functions restricted submodularity and shifted submodularity. As an application of the ...
Ding-Zhu Du, Ronald L. Graham, Panos M. Pardalos, ...
CVPR
2010
IEEE
14 years 5 months ago
Beyond Trees: MRF Inference via Outer-Planar Decomposition
Maximum a posteriori (MAP) inference in Markov Random Fields (MRFs) is an NP-hard problem, and thus research has focussed on either finding efficiently solvable subclasses (e.g. t...
Dhruv Batra, Andrew Gallagher, Devi Parikh, Tsuhan...
NIPS
2003
13 years 10 months ago
The IM Algorithm: A Variational Approach to Information Maximization
The maximisation of information transmission over noisy channels is a common, albeit generally computationally difficult problem. We approach the difficulty of computing the mutua...
David Barber, Felix V. Agakov
COCOON
2004
Springer
14 years 16 days ago
k-Center Problems with Minimum Coverage
In this work, we study an extension of the k-center facility location problem, where centers are required to service a minimum of clients. This problem is motivated by requirement...
Andrew Lim, Brian Rodrigues, Fan Wang, Zhou Xu