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CORR
2008
Springer
84views Education» more  CORR 2008»
15 years 6 months ago
Efficiently Testing Sparse GF(2) Polynomials
We give the first algorithm that is both query-efficient and time-efficient for testing whether an unknown function f : {0, 1}n {-1, 1} is an s-sparse GF(2) polynomial versus -far ...
Ilias Diakonikolas, Homin K. Lee, Kevin Matulef, R...
CORR
2008
Springer
159views Education» more  CORR 2008»
15 years 6 months ago
Stochastic Limit-Average Games are in EXPTIME
The value of a finite-state two-player zero-sum stochastic game with limit-average payoff can be approximated to within in time exponential in a polynomial in the size of the gam...
Krishnendu Chatterjee, Rupak Majumdar, Thomas A. H...
CORR
2008
Springer
81views Education» more  CORR 2008»
15 years 6 months ago
The Johnson-Lindenstrauss lemma almost characterizes Hilbert space, but not quite
Let X be a normed space that satisfies the Johnson-Lindenstrauss lemma (J-L lemma, in short) in the sense that for any integer n and any x1, . . . , xn X there exists a linear ma...
William B. Johnson, Assaf Naor
CORR
2008
Springer
97views Education» more  CORR 2008»
15 years 6 months ago
An Almost-Surely Terminating Polynomial Protocol for Asynchronous Byzantine Agreement with Optimal Resilience
Consider an asynchronous system with private channels and n processes, up to t of which may be faulty. We settle a longstanding open question by providing a Byzantine agreement pr...
Ittai Abraham, Danny Dolev, Joseph Y. Halpern
CORR
2008
Springer
113views Education» more  CORR 2008»
15 years 6 months ago
Asymptotics of Entropy Rate in Special Families of Hidden Markov Chains
We generalize a result in [8] and derive an asymptotic formula for entropy rate of a hidden Markov chain around a "weak Black Hole". We also discuss applications of the ...
Guangyue Han, Brian Marcus