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VC
2008
102views more  VC 2008»
15 years 5 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 9 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 10 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 10 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 9 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...