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» On Polynomial Representations of Boolean Functions Related t...
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STOC
2009
ACM
152views Algorithms» more  STOC 2009»
14 years 2 months ago
Green's conjecture and testing linear-invariant properties
A system of linear equations in p unknowns Mx = b is said to have the removal property if every set S ⊆ {1, . . . , n} which contains o(np− ) solutions of Mx = b can be turned...
Asaf Shapira
COCO
2005
Springer
123views Algorithms» more  COCO 2005»
14 years 1 months ago
If NP Languages are Hard on the Worst-Case Then It is Easy to Find Their Hard Instances
We prove that if NP ⊆ BPP, i.e., if SAT is worst-case hard, then for every probabilistic polynomial-time algorithm trying to decide SAT, there exists some polynomially samplable ...
Dan Gutfreund, Ronen Shaltiel, Amnon Ta-Shma
CC
2007
Springer
121views System Software» more  CC 2007»
13 years 7 months ago
If NP Languages are Hard on the Worst-Case, Then it is Easy to Find Their Hard Instances
We prove that if NP ⊆ BPP, i.e., if SAT is worst-case hard, then for every probabilistic polynomial-time algorithm trying to decide SAT, there exists some polynomially samplable ...
Dan Gutfreund, Ronen Shaltiel, Amnon Ta-Shma
FSTTCS
2009
Springer
14 years 2 months ago
Fractional Pebbling and Thrifty Branching Programs
We study the branching program complexity of the tree evaluation problem, introduced in [BCM+09a] as a candidate for separating NL from LogCFL. The input to the problem is a roote...
Mark Braverman, Stephen A. Cook, Pierre McKenzie, ...
DICTA
2003
13 years 8 months ago
Algebraic Curve Fitting Support Vector Machines
An algebraic curve is defined as the zero set of a multivariate polynomial. We consider the problem of fitting an algebraic curve to a set of vectors given an additional set of v...
Christian J. Walder, Brian C. Lovell, Peter J. Koo...