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» Weights of Exact Threshold Functions
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MFCS
2010
Springer
13 years 2 months ago
Weights of Exact Threshold Functions
We consider Boolean exact threshold functions defined by linear equations, and in general degree d polynomials. We give upper and lower bounds on the maximum magnitude (absolute va...
László Babai, Kristoffer Arnsfelt Ha...
IPL
2006
86views more  IPL 2006»
13 years 4 months ago
Monotone circuits for monotone weighted threshold functions
Weighted threshold functions with positive weights are a natural generalization of unweighted threshold functions. These functions are clearly monotone. However, the naive way of ...
Amos Beimel, Enav Weinreb
COCO
2005
Springer
92views Algorithms» more  COCO 2005»
13 years 10 months ago
Monotone Circuits for Weighted Threshold Functions
Weighted threshold functions with positive weights are a natural generalization of unweighted threshold functions. These functions are clearly monotone. However, the naive way of ...
Amos Beimel, Enav Weinreb
COLT
1999
Springer
13 years 8 months ago
Learning Threshold Functions with Small Weights Using Membership Queries
We study the learnability of Threshold functions with bounded weights using membership queries only. We show that the class Ct of Threshold functions with positive integer weights...
Elias Abboud, Nader Agha, Nader H. Bshouty, Nizar ...
COCO
2010
Springer
144views Algorithms» more  COCO 2010»
13 years 8 months ago
A Regularity Lemma, and Low-Weight Approximators, for Low-Degree Polynomial Threshold Functions
We give a “regularity lemma” for degree-d polynomial threshold functions (PTFs) over the Boolean cube {−1, 1}n . Roughly speaking, this result shows that every degree-d PTF ...
Ilias Diakonikolas, Rocco A. Servedio, Li-Yang Tan...