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FOCS
2006
IEEE
14 years 2 months ago
How to Play Unique Games Using Embeddings
In this paper we present a new approximation algorithm for Unique Games. For a Unique Game with n vertices and k states (labels), if a (1 − ε) fraction of all constraints is sa...
Eden Chlamtac, Konstantin Makarychev, Yury Makaryc...
FOCS
2006
IEEE
14 years 2 months ago
Fault-Tolerant Distributed Computing in Full-Information Networks
In this paper, we use random-selection protocols in the full-information model to solve classical problems in distributed computing. Our main results are the following: • An O(l...
Shafi Goldwasser, Elan Pavlov, Vinod Vaikuntanatha...
FOCS
2006
IEEE
14 years 2 months ago
Cryptographic Hardness for Learning Intersections of Halfspaces
We give the first representation-independent hardness results for PAC learning intersections of halfspaces, a central concept class in computational learning theory. Our hardness...
Adam R. Klivans, Alexander A. Sherstov
FOCS
2006
IEEE
14 years 2 months ago
The Kesten-Stigum Reconstruction Bound Is Tight for Roughly Symmetric Binary Channels
We establish the exact threshold for the reconstruction problem for a binary asymmetric channel on the b-ary tree, provided that the asymmetry is sufficiently small. This is the ...
Christian Borgs, Jennifer T. Chayes, Elchanan Moss...
FOCS
2006
IEEE
14 years 2 months ago
Near-Optimal Hashing Algorithms for Approximate Nearest Neighbor in High Dimensions
We present an algorithm for the c-approximate nearest neighbor problem in a d-dimensional Euclidean space, achieving query time of O(dn1/c2 +o(1) ) and space O(dn + n1+1/c2 +o(1) ...
Alexandr Andoni, Piotr Indyk