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ICCV
2005
IEEE
15 years 3 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 4 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
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
COCO
2006
Springer
96views Algorithms» more  COCO 2006»
15 years 1 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 3 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