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NAACL
2010
14 years 9 months ago
Multi-document Summarization via Budgeted Maximization of Submodular Functions
We treat the text summarization problem as maximizing a submodular function under a budget constraint. We show, both theoretically and empirically, a modified greedy algorithm can...
Hui Lin, Jeff Bilmes
SODA
2010
ACM
164views Algorithms» more  SODA 2010»
15 years 9 months ago
Differentially Private Approximation Algorithms
Consider the following problem: given a metric space, some of whose points are "clients," select a set of at most k facility locations to minimize the average distance f...
Anupam Gupta, Katrina Ligett, Frank McSherry, Aaro...
FOCS
2007
IEEE
15 years 6 months ago
Lower Bounds on Streaming Algorithms for Approximating the Length of the Longest Increasing Subsequence
We show that any deterministic data-stream algorithm that makes a constant number of passes over the input and gives a constant factor approximation of the length of the longest i...
Anna Gál, Parikshit Gopalan
NETWORKS
2006
14 years 11 months ago
Lower bounds for the relative greedy algorithm for approximating Steiner trees
Abstract. The Steiner tree problem is to find a shortest subgraph that spans a given set of vertices in a graph. This problem is known to be NP-hard and it is well known that a pol...
Stefan Hougardy, Stefan Kirchner
WG
2001
Springer
15 years 4 months ago
Lower Bounds for Approximation Algorithms for the Steiner Tree Problem
Clemens Gröpl, Stefan Hougardy, Till Nierhoff...