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» Finding Small Solutions to Small Degree Polynomials
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BMCBI
2006
100views more  BMCBI 2006»
13 years 7 months ago
Towards a better solution to the shortest common supersequence problem: the deposition and reduction algorithm
Background: The problem of finding a Shortest Common Supersequence (SCS) of a set of sequences is an important problem with applications in many areas. It is a key problem in biol...
Kang Ning, Hon Wai Leong
FOCS
2007
IEEE
14 years 2 months ago
Polylogarithmic Independence Can Fool DNF Formulas
We show that any k-wise independent probability distribution on {0, 1}n O(m2.22− √ k/10)fools any boolean function computable by an m-clause DNF (or CNF) formula on n variable...
Louay Bazzi
FOCS
2007
IEEE
13 years 11 months ago
Discrepancy and the Power of Bottom Fan-in in Depth-three Circuits
We develop a new technique of proving lower bounds for the randomized communication complexity of boolean functions in the multiparty `Number on the Forehead' model. Our meth...
Arkadev Chattopadhyay
AI
2008
Springer
13 years 7 months ago
An experimental evaluation of simplicity in rule learning
While recent research on rule learning has focussed largely on finding highly accurate hypotheses, we evaluate the degree to which these hypotheses are also simple, that is small....
Ulrich Rückert, Luc De Raedt
COCOON
2007
Springer
13 years 11 months ago
Improved Exact Algorithms for Counting 3- and 4-Colorings
Abstract. We introduce a generic algorithmic technique and apply it on decision and counting versions of graph coloring. Our approach is based on the following idea: either a graph...
Fedor V. Fomin, Serge Gaspers, Saket Saurabh