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» New degree bounds for polynomial threshold functions
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FOCS
1992
IEEE
13 years 11 months ago
Reconstructing Algebraic Functions from Mixed Data
We consider a variant of the traditional task of explicitly reconstructing algebraic functions from black box representations. In the traditional setting for such problems, one is ...
Sigal Ar, Richard J. Lipton, Ronitt Rubinfeld, Mad...
EOR
2008
103views more  EOR 2008»
13 years 7 months ago
New complexity analysis of IIPMs for linear optimization based on a specific self-regular function
Primal-dual Interior-Point Methods (IPMs) have shown their ability in solving large classes of optimization problems efficiently. Feasible IPMs require a strictly feasible startin...
Maziar Salahi, M. Reza Peyghami, Tamás Terl...
ESA
2004
Springer
139views Algorithms» more  ESA 2004»
14 years 26 days ago
Comparing Real Algebraic Numbers of Small Degree
We study polynomials of degree up to 4 over the rationals or a computable real subfield. Our motivation comes from the need to evaluate predicates in nonlinear computational geome...
Ioannis Z. Emiris, Elias P. Tsigaridas
CORR
2010
Springer
152views Education» more  CORR 2010»
13 years 7 months ago
A Faster Algorithm for Quasi-convex Integer Polynomial Optimization
We present a faster exponential-time algorithm for integer optimization over quasi-convex polynomials. We study the minimization of a quasiconvex polynomial subject to s quasi-con...
Robert Hildebrand, Matthias Köppe
CORR
2008
Springer
114views Education» more  CORR 2008»
13 years 7 months ago
Multiparty Communication Complexity of Disjointness
We obtain a lower bound of n 1 k+1 22k (k-1)2k-1 on the k-party randomized communication complexity of the Disjointness function in the `Number on the Forehead' model of mul...
Arkadev Chattopadhyay, Anil Ada