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» Some Lower Bounds for the Complexity of Continuation Methods
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COCO
2009
Springer
131views Algorithms» more  COCO 2009»
14 years 10 days ago
A Multi-Round Communication Lower Bound for Gap Hamming and Some Consequences
—The Gap-Hamming-Distance problem arose in the context of proving space lower bounds for a number of key problems in the data stream model. In this problem, Alice and Bob have to...
Joshua Brody, Amit Chakrabarti
COMBINATORICS
1999
83views more  COMBINATORICS 1999»
13 years 5 months ago
New Lower Bounds for Some Multicolored Ramsey Numbers
In this article we use two different methods to find new lower bounds for some multicolored Ramsey numbers. In the first part we use the finite field method used by Greenwood and ...
Aaron Robertson
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 6 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
SAT
2007
Springer
118views Hardware» more  SAT 2007»
13 years 12 months ago
Improved Lower Bounds for Tree-Like Resolution over Linear Inequalities
Abstract. We continue a study initiated by Kraj´ıˇcek of a Resolutionlike proof system working with clauses of linear inequalities, R(CP). For all proof systems of this kind Kra...
Arist Kojevnikov
IWANN
2009
Springer
13 years 10 months ago
Lower Bounds for Approximation of Some Classes of Lebesgue Measurable Functions by Sigmoidal Neural Networks
We propose a general method for estimating the distance between a compact subspace K of the space L1 ([0, 1]s ) of Lebesgue measurable functions defined on the hypercube [0, 1]s ,...
José Luis Montaña, Cruz E. Borges