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APPROX
2010
Springer
297views Algorithms» more  APPROX 2010»
13 years 6 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...
LATIN
2010
Springer
13 years 3 months ago
On Quadratic Threshold CSPs
A predicate P : {−1, 1}k → {0, 1} can be associated with a constraint satisfaction problem Max CSP(P). P is called “approximation resistant” if Max CSP(P) cannot be approxi...
Per Austrin, Siavosh Benabbas, Avner Magen
COCO
2009
Springer
106views Algorithms» more  COCO 2009»
13 years 11 months ago
Improved Approximation of Linear Threshold Functions
We prove two main results on how arbitrary linear threshold functions f(x) = sign(w · x − θ) over the n-dimensional Boolean hypercube can be approximated by simple threshold f...
Ilias Diakonikolas, Rocco A. Servedio
COLT
1993
Springer
13 years 8 months ago
Lower Bounds on the Vapnik-Chervonenkis Dimension of Multi-Layer Threshold Networks
We consider the problem of learning in multilayer feed-forward networks of linear threshold units. We show that the Vapnik-Chervonenkis dimension of the class of functions that ca...
Peter L. Bartlett