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VC
2008
102views more  VC 2008»
14 years 9 months ago
Solving nonlinear polynomial systems in the barycentric Bernstein basis
We present a method for solving arbitrary systems of N nonlinear polynomials in n variables over an n-dimensional simplicial domain based on polynomial representation in the baryce...
Martin Reuter, Tarjei S. Mikkelsen, Evan C. Sherbr...
STOC
1999
ACM
132views Algorithms» more  STOC 1999»
15 years 2 months ago
A Polynomial Combinatorial Algorithm for Generalized Minimum Cost Flow
We propose the first combinatorial solution to one of the most classic problems in combinatorial optimization: the generalized minimum cost flow problem (flow with losses and g...
Kevin D. Wayne
MFCS
2004
Springer
15 years 3 months ago
The Price of Anarchy for Polynomial Social Cost
Abstract. In this work, we consider an interesting variant of the wellstudied KP model [18] for selfish routing that reflects some influence from the much older Wardrop model [3...
Martin Gairing, Thomas Lücking, Marios Mavron...
COCO
2003
Springer
91views Algorithms» more  COCO 2003»
15 years 3 months ago
Extremal properties of polynomial threshold functions
In this paper we give new extremal bounds on polynomial threshold function (PTF) representations of Boolean functions. Our results include the following: • Almost every Boolean ...
Ryan O'Donnell, Rocco A. Servedio
DIS
1998
Springer
15 years 2 months ago
Uniform Characterizations of Polynomial-Query Learnabilities
We consider the exact learning in the query model. We deal with all types of queries introduced by Angluin: membership, equivalence, superset, subset, disjointness and exhaustivene...
Yosuke Hayashi, Satoshi Matsumoto, Ayumi Shinohara...