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ECIR
2007
Springer
13 years 9 months ago
A Study of Global Inference Algorithms in Multi-document Summarization
Abstract. In this work we study the theoretical and empirical properties of various global inference algorithms for multi-document summarization. We start by defining a general fr...
Ryan T. McDonald
STOC
2009
ACM
163views Algorithms» more  STOC 2009»
14 years 8 months ago
Non-monotone submodular maximization under matroid and knapsack constraints
Submodular function maximization is a central problem in combinatorial optimization, generalizing many important problems including Max Cut in directed/undirected graphs and in hy...
Jon Lee, Vahab S. Mirrokni, Viswanath Nagarajan, M...
MP
2010
163views more  MP 2010»
13 years 2 months ago
Speeding up IP-based algorithms for constrained quadratic 0-1 optimization
In many practical applications, the task is to optimize a non-linear objective function over the vertices of a well-studied polytope as, e.g., the matching polytope or the travelli...
Christoph Buchheim, Frauke Liers, Marcus Oswald
EVOW
2006
Springer
13 years 11 months ago
The Core Concept for the Multidimensional Knapsack Problem
Abstract. We present the newly developed core concept for the Multidimensional Knapsack Problem (MKP) which is an extension of the classical concept for the one-dimensional case. T...
Jakob Puchinger, Günther R. Raidl, Ulrich Pfe...
STOC
2003
ACM
95views Algorithms» more  STOC 2003»
14 years 8 months ago
Random knapsack in expected polynomial time
In this paper, we present the first average-case analysis proving an expected polynomial running time for an exact algorithm for the 0/1 knapsack problem. In particular, we prove,...
René Beier, Berthold Vöcking