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» Maximizing Non-Monotone Submodular Functions
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CORR
2012
Springer
218views Education» more  CORR 2012»
13 years 5 months ago
On the Hardness of Welfare Maximization in Combinatorial Auctions with Submodular Valuations
We present a new type of monotone submodular functions: multi-peak submodular functions. Roughly speaking, given a family of sets F, we construct a monotone submodular function f ...
Shahar Dobzinski, Jan Vondrák
CORR
2010
Springer
84views Education» more  CORR 2010»
14 years 9 months ago
Improved Inapproximability For Submodular Maximization
We show that it is Unique Games-hard to approximate the maximum of a submodular function to within a factor 0.695, and that it is Unique Games-hard to approximate the maximum of a ...
Per Austrin
TOC
2010
127views Management» more  TOC 2010»
14 years 4 months ago
The Submodular Welfare Problem with Demand Queries
: We consider the Submodular Welfare Problem where we have m items and n players with given utility functions wi : 2[m] R+. The utility functions are assumed to be monotone and su...
Uriel Feige, Jan Vondrák
JMLR
2012
12 years 12 months ago
On Bisubmodular Maximization
Bisubmodularity extends the concept of submodularity to set functions with two arguments. We show how bisubmodular maximization leads to richer value-of-information problems, usin...
Ajit Singh, Andrew Guillory, Jeff Bilmes
CORR
2011
Springer
168views Education» more  CORR 2011»
14 years 4 months ago
Submodular meets Spectral: Greedy Algorithms for Subset Selection, Sparse Approximation and Dictionary Selection
We study the problem of selecting a subset of k random variables from a large set, in order to obtain the best linear prediction of another variable of interest. This problem can ...
Abhimanyu Das, David Kempe