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» The Nonhomomorphicity of Boolean Functions
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COCO
2010
Springer
144views Algorithms» more  COCO 2010»
14 years 21 hour 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...
GECCO
2008
Springer
120views Optimization» more  GECCO 2008»
13 years 9 months ago
Genetic programming with polymorphic types and higher-order functions
This article introduces our new approach to program representation for genetic programming (GP). We replace the usual s-expression representation scheme by a strongly-typed ion-ba...
Franck Binard, Amy P. Felty
COCO
2006
Springer
93views Algorithms» more  COCO 2006»
13 years 12 months ago
Making Hard Problems Harder
We consider a general approach to the hoary problem of (im)proving circuit lower bounds. We define notions of hardness condensing and hardness extraction, in analogy to the corres...
Joshua Buresh-Oppenheim, Rahul Santhanam
COCO
2006
Springer
118views Algorithms» more  COCO 2006»
13 years 12 months ago
Learning Monotone Decision Trees in Polynomial Time
We give an algorithm that learns any monotone Boolean function f : {-1, 1}n {-1, 1} to any constant accuracy, under the uniform distribution, in time polynomial in n and in the de...
Ryan O'Donnell, Rocco A. Servedio
CC
2007
Springer
108views System Software» more  CC 2007»
13 years 8 months ago
Communication vs. Computation
We initiate a study of tradeoffs between communication and computation in well-known communication models and in other related models. The fundamental question we investigate is t...
Prahladh Harsha, Yuval Ishai, Joe Kilian, Kobbi Ni...