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» Derandomization and Distinguishing Complexity
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SODA
2012
ACM
217views Algorithms» more  SODA 2012»
12 years 12 months ago
Deterministic construction of an approximate M-ellipsoid and its applications to derandomizing lattice algorithms
We give a deterministic O(log n)n -time and space algorithm for the Shortest Vector Problem (SVP) of a lattice under any norm, improving on the previous best deterministic nO(n) -...
Daniel Dadush, Santosh Vempala
COCO
2009
Springer
155views Algorithms» more  COCO 2009»
15 years 4 months ago
Weak Derandomization of Weak Algorithms: Explicit Versions of Yao's Lemma
—A simple averaging argument shows that given a randomized algorithm A and a function f such that for every input x, Pr[A(x) = f(x)] ≥ 1−ρ (where the probability is over the...
Ronen Shaltiel
COCO
2010
Springer
198views Algorithms» more  COCO 2010»
15 years 1 months ago
Derandomized Parallel Repetition Theorems for Free Games
—Raz’s parallel repetition theorem [21] together with improvements of Holenstein [12] shows that for any two-prover one-round game with value at most 1 − (for ≤ 1/2), the v...
Ronen Shaltiel
STOC
2004
ACM
157views Algorithms» more  STOC 2004»
15 years 9 months ago
Derandomizing homomorphism testing in general groups
The main result of this paper is a near-optimal derandomization of the affine homomorphism test of Blum, Luby and Rubinfeld (Journal of Computer and System Sciences, 1993). We sho...
Amir Shpilka, Avi Wigderson
64
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JSC
2008
78views more  JSC 2008»
14 years 9 months ago
Rational Univariate Reduction via toric resultants
We describe algorithms for solving a given system of multivariate polynomial equations via the Rational Univariate Reduction (RUR). We compute the RUR from the toric resultant of ...
Koji Ouchi, John Keyser