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» On Dependent Randomized Rounding Algorithms
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FOCS
2006
IEEE
14 years 1 months ago
Fast Algorithms for Logconcave Functions: Sampling, Rounding, Integration and Optimization
We prove that the hit-and-run random walk is rapidly mixing for an arbitrary logconcave distribution starting from any point in the support. This extends the work of [26], where t...
László Lovász, Santosh Vempal...
SODA
2010
ACM
173views Algorithms» more  SODA 2010»
14 years 4 months ago
Distributed Agreement with Optimal Communication Complexity
We consider the problem of fault-tolerant agreement in a crash-prone synchronous system. We present a new randomized consensus algorithm that achieves optimal communication effici...
Seth Gilbert, Dariusz Kowalski
PDCAT
2005
Springer
14 years 1 months ago
A New Algorithm to Solve Synchronous Consensus for Dependent Failures
Fault tolerant algorithms are often designed under the t-out-of-n assumption, which is based on the assumption that all processes or components fail independently with equal proba...
Jun Wang, Min Song
CRYPTO
2003
Springer
124views Cryptology» more  CRYPTO 2003»
14 years 22 days ago
Primality Proving via One Round in ECPP and One Iteration in AKS
On August 2002, Agrawal, Kayal and Saxena announced the first deterministic and polynomial time primality testing algorithm. For an input n, the AKS algorithm runs in heuristic t...
Qi Cheng
STOC
1991
ACM
93views Algorithms» more  STOC 1991»
13 years 11 months ago
Rounds in Communication Complexity Revisited
The k-round two-party communication complexity was studied in the deterministic model by [14] and [4] and in the probabilistic model by [20] and [6]. We present new lower bounds th...
Noam Nisan, Avi Wigderson