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FOCS
2010
IEEE
13 years 9 months ago
Subexponential Algorithms for Unique Games and Related Problems
We give subexponential time approximation algorithms for UNIQUE GAMES and the SMALL-SET EXPANSION. Specifically, for some absolute constant c, we give:
Sanjeev Arora, Boaz Barak, David Steurer
FOCS
2010
IEEE
13 years 9 months ago
Replacement Paths via Fast Matrix Multiplication
Let G be a directed edge-weighted graph and let P be a shortest path from s to t in G. The replacement paths problem asks to compute, for every edge e on P, the shortest s-to-t pat...
Oren Weimann, Raphael Yuster
FOCS
2010
IEEE
13 years 9 months ago
On the Computational Complexity of Coin Flipping
Coin flipping is one of the most fundamental tasks in cryptographic protocol design. Informally, a coin flipping protocol should guarantee both (1) Completeness: an honest executi...
Hemanta K. Maji, Manoj Prabhakaran, Amit Sahai
FOCS
2010
IEEE
13 years 9 months ago
Learning Convex Concepts from Gaussian Distributions with PCA
We present a new algorithm for learning a convex set in n-dimensional space given labeled examples drawn from any Gaussian distribution. The complexity of the algorithm is bounded ...
Santosh Vempala
LATINCRYPT
2010
13 years 9 months ago
How Leaky Is an Extractor?
This paper discusses the security of a leakage-resilient stream cipher presented at FOCS 2008, instantiated in a practical setting. Based on a case study, we put forward implementa...
François-Xavier Standaert