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» New degree bounds for polynomial threshold functions
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TNN
1998
254views more  TNN 1998»
13 years 7 months ago
Periodic symmetric functions, serial addition, and multiplication with neural networks
Abstract—This paper investigates threshold based neural networks for periodic symmetric Boolean functions and some related operations. It is shown that any n-input variable perio...
Sorin Cotofana, Stamatis Vassiliadis
MST
1998
76views more  MST 1998»
13 years 7 months ago
Sharply Bounded Alternation and Quasilinear Time
We de ne the sharply bounded hierarchy, SBH(QL), a hierarchy of classes within P, using quasilinear-time computation and quanti cation over strings of length logn. It generalizes ...
Stephen A. Bloch, Jonathan F. Buss, Judy Goldsmith
FOCS
2009
IEEE
14 years 2 months ago
Smoothed Analysis of Multiobjective Optimization
Abstract— We prove that the number of Pareto-optimal solutions in any multiobjective binary optimization problem with a finite number of linear objective functions is polynomial...
Heiko Röglin, Shang-Hua Teng
CGF
2008
92views more  CGF 2008»
13 years 7 months ago
Pointwise radial minimization: Hermite interpolation on arbitrary domains
In this paper we propose a new kind of Hermite interpolation on arbitrary domains, matching derivative data of arbitrary order on the boundary. The basic idea stems from an interp...
Michael S. Floater, C. Schulz
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 7 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