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CORR
2010
Springer
92views Education» more  CORR 2010»
13 years 11 months ago
Hardness Results for Agnostically Learning Low-Degree Polynomial Threshold Functions
Hardness results for maximum agreement problems have close connections to hardness results for proper learning in computational learning theory. In this paper we prove two hardnes...
Ilias Diakonikolas, Ryan O'Donnell, Rocco A. Serve...
COCO
2010
Springer
144views Algorithms» more  COCO 2010»
14 years 2 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...
CORR
2006
Springer
87views Education» more  CORR 2006»
13 years 11 months ago
Low Complexity Algorithms for Linear Recurrences
We consider two kinds of problems: the computation of polynomial and rational solutions of linear recurrences with coefficients that are polynomials with integer coefficients; ind...
Alin Bostan, Frédéric Chyzak, Bruno ...
APAL
2010
85views more  APAL 2010»
13 years 11 months ago
Elementary differences between the degrees of unsolvability and degrees of compressibility
Given two infinite binary sequences A, B we say that B can compress at least as well as A if the prefix-free Kolmogorov complexity relative to B of any binary string is at most as ...
George Barmpalias
AAECC
2000
Springer
81views Algorithms» more  AAECC 2000»
13 years 10 months ago
On Short Multiplications and Divisions
Computing only the low degree terms of the product of two univariate polynomials is called a short multiplication. By decomposition into subproblems, a short multiplication can be ...
Thom Mulders