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COLT
1999
Springer
14 years 27 days 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
149views Algorithms» more  COCO 2010»
13 years 11 months ago
The Gaussian Surface Area and Noise Sensitivity of Degree-d Polynomial Threshold Functions
Abstract. We prove asymptotically optimal bounds on the Gaussian noise sensitivity of degree-d polynomial threshold functions. These bounds translate into optimal bounds on the Gau...
Daniel M. Kane
APPROX
2010
Springer
297views Algorithms» more  APPROX 2010»
13 years 10 months ago
Approximating Linear Threshold Predicates
We study constraint satisfaction problems on the domain {-1, 1}, where the given constraints are homogeneous linear threshold predicates. That is, predicates of the form sgn(w1x1 +...
Mahdi Cheraghchi, Johan Håstad, Marcus Isaks...
DM
2007
101views more  DM 2007»
13 years 8 months ago
Threshold graphs, shifted complexes, and graphical complexes
We consider a variety of connections between threshold graphs, shifted complexes, and simplicial complexes naturally formed from a graph. These graphical complexes include the inde...
Caroline J. Klivans
JAPLL
2007
83views more  JAPLL 2007»
13 years 8 months ago
Nonmonotonic conditionals that behave like conditional probabilities above a threshold
I’ll describe a range of systems for nonmonotonic conditionals that behave like conditional probabilities above a threshold. The rules that govern each system are probabilistical...
James Hawthorne