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FOCS
2008
IEEE
13 years 9 months ago
On the Approximability of Budgeted Allocations and Improved Lower Bounds for Submodular Welfare Maximization and GAP
In this paper we consider the following maximum budgeted allocation (MBA) problem: Given a set of m indivisible items and n agents; each agent i willing to pay bij on item j and w...
Deeparnab Chakrabarty, Gagan Goel
CVPR
2005
IEEE
14 years 10 months ago
Digital Tapestry
This paper addresses the novel problem of automatically synthesizing an output image from a large collection of different input images. The synthesized image, called a digital tap...
Carsten Rother, Sanjiv Kumar, Vladimir Kolmogorov,...
STOC
2012
ACM
221views Algorithms» more  STOC 2012»
11 years 10 months ago
From query complexity to computational complexity
We consider submodular optimization problems, and provide a general way of translating oracle inapproximability results arising from the symmetry gap technique to computational co...
Shahar Dobzinski, Jan Vondrák
FOCS
2007
IEEE
14 years 2 months ago
Towards Sharp Inapproximability For Any 2-CSP
We continue the recent line of work on the connection between semidefinite programming-based approximation algorithms and the Unique Games Conjecture. Given any boolean 2-CSP (or...
Per Austrin
APPROX
2009
Springer
138views Algorithms» more  APPROX 2009»
14 years 2 months ago
Submodular Maximization over Multiple Matroids via Generalized Exchange Properties
Submodular-function maximization is a central problem in combinatorial optimization, generalizing many important NP-hard problems including Max Cut in digraphs, graphs and hypergr...
Jon Lee, Maxim Sviridenko, Jan Vondrák