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» A Small PRG for Polynomial Threshold Functions of Gaussians
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47
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CORR
2011
Springer
189views Education» more  CORR 2011»
14 years 4 months ago
A Small PRG for Polynomial Threshold Functions of Gaussians
Daniel M. Kane
COCO
2010
Springer
149views Algorithms» more  COCO 2010»
15 years 28 days 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
49
Voted
CORR
2010
Springer
103views Education» more  CORR 2010»
14 years 7 months ago
k-Independent Gaussians Fool Polynomial Threshold Functions
Daniel M. Kane
STOC
2009
ACM
119views Algorithms» more  STOC 2009»
15 years 10 months ago
Explicit construction of a small epsilon-net for linear threshold functions
We give explicit constructions of epsilon nets for linear threshold functions on the binary cube and on the unit sphere. The size of the constructed nets is polynomial in the dime...
Yuval Rabani, Amir Shpilka
COCO
2010
Springer
144views Algorithms» more  COCO 2010»
15 years 1 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...