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» An Online Algorithm for Maximizing Submodular Functions
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2010
127views Management» more  TOC 2010»
13 years 2 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
CORR
2011
Springer
168views Education» more  CORR 2011»
13 years 2 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
JMLR
2008
159views more  JMLR 2008»
13 years 7 months ago
Near-Optimal Sensor Placements in Gaussian Processes: Theory, Efficient Algorithms and Empirical Studies
When monitoring spatial phenomena, which can often be modeled as Gaussian processes (GPs), choosing sensor locations is a fundamental task. There are several common strategies to ...
Andreas Krause, Ajit Paul Singh, Carlos Guestrin
JMLR
2012
11 years 10 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
WINE
2005
Springer
182views Economy» more  WINE 2005»
14 years 1 months ago
Inapproximability Results for Combinatorial Auctions with Submodular Utility Functions
We consider the following allocation problem arising in the setting of combinatorial auctions: a set of goods is to be allocated to a set of players so as to maximize the sum of t...
Subhash Khot, Richard J. Lipton, Evangelos Markaki...