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» New Lower Bounds for Heilbronn Numbers
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ANTS
2006
Springer
94views Algorithms» more  ANTS 2006»
13 years 11 months ago
Fast Bounds on the Distribution of Smooth Numbers
Let P(n) denote the largest prime divisor of n, and let (x, y) be the number of integers n x with P(n) y. In this paper we present improvements to Bernstein's algorithm, whi...
Scott T. Parsell, Jonathan Sorenson
ECCC
2007
144views more  ECCC 2007»
13 years 7 months ago
Algebraic Lower Bounds for Computing on Encrypted Data
In cryptography, there has been tremendous success in building primitives out of homomorphic semantically-secure encryption schemes, using homomorphic properties in a blackbox way...
Rafail Ostrovsky, William E. Skeith III
CORR
2007
Springer
121views Education» more  CORR 2007»
13 years 7 months ago
Lower Bounds on Implementing Robust and Resilient Mediators
We provide new and tight lower bounds on the ability of players to implement equilibria using cheap talk, that is, just allowing communication among the players. One of our main r...
Ittai Abraham, Danny Dolev, Joseph Y. Halpern
APPROX
2010
Springer
148views Algorithms» more  APPROX 2010»
13 years 9 months ago
Learning and Lower Bounds for AC0 with Threshold Gates
In 2002 Jackson et al. [JKS02] asked whether AC0 circuits augmented with a threshold gate at the output can be efficiently learned from uniform random examples. We answer this ques...
Parikshit Gopalan, Rocco A. Servedio
FOCS
1998
IEEE
13 years 12 months ago
Quantum Lower Bounds by Polynomials
We examine the number T of queries that a quantum network requires to compute several Boolean functions on f0;1gN in the black-box model. We show that, in the blackbox model, the ...
Robert Beals, Harry Buhrman, Richard Cleve, Michel...