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» k-Independent Gaussians Fool Polynomial Threshold Functions
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COCO
2010
Springer
149views Algorithms» more  COCO 2010»
15 years 3 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
COLT
2010
Springer
14 years 10 months ago
Deterministic Sparse Fourier Approximation via Fooling Arithmetic Progressions
A significant Fourier transform (SFT) algorithm, given a threshold and oracle access to a function f, outputs (the frequencies and approximate values of) all the -significant Fou...
Adi Akavia
51
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CORR
2011
Springer
189views Education» more  CORR 2011»
14 years 6 months ago
A Small PRG for Polynomial Threshold Functions of Gaussians
Daniel M. Kane
COLT
2008
Springer
15 years 1 months ago
Polynomial Regression under Arbitrary Product Distributions
In recent work, Kalai, Klivans, Mansour, and Servedio [KKMS05] studied a variant of the "Low-Degree (Fourier) Algorithm" for learning under the uniform probability distr...
Eric Blais, Ryan O'Donnell, Karl Wimmer