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» Exponential-Time Approximation of Hard Problems
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89
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ICCV
2005
IEEE
15 years 6 months ago
A Unifying Approach to Hard and Probabilistic Clustering
We derive the clustering problem from first principles showing that the goal of achieving a probabilistic, or ”hard”, multi class clustering result is equivalent to the algeb...
Ron Zass, Amnon Shashua
APPROX
2007
Springer
102views Algorithms» more  APPROX 2007»
15 years 6 months ago
Hardness of Embedding Metric Spaces of Equal Size
Abstract. We study the problem embedding an n-point metric space into another n-point metric space while minimizing distortion. We show that there is no polynomial time algorithm t...
Subhash Khot, Rishi Saket
123
Voted
CORR
2012
Springer
218views Education» more  CORR 2012»
13 years 8 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
COCO
2006
Springer
96views Algorithms» more  COCO 2006»
15 years 4 months ago
Optimal Hardness Results for Maximizing Agreements with Monomials
We consider the problem of finding a monomial (or a term) that maximizes the agreement rate with a given set of examples over the Boolean hypercube. The problem is motivated by le...
Vitaly Feldman
FCT
2003
Springer
15 years 5 months ago
Complexity of Approximating Closest Substring Problems
The closest substring problem, where a short string is sought that minimizes the number of mismatches between it and each of a given set of strings, is a minimization problem with ...
Patricia A. Evans, Andrew D. Smith