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111
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FOCS
2010
IEEE
14 years 10 months ago
A Fourier-Analytic Approach to Reed-Muller Decoding
Abstract. We present a Fourier-analytic approach to list-decoding Reed-Muller codes over arbitrary finite fields. We use this to show that quadratic forms over any field are locall...
Parikshit Gopalan
CORR
2010
Springer
158views Education» more  CORR 2010»
14 years 9 months ago
Counting in Graph Covers: A Combinatorial Characterization of the Bethe Entropy Function
We present a combinatorial characterization of the Bethe entropy function of a factor graph, such a characterization being in contrast to the original, analytical, definition of th...
Pascal O. Vontobel
FOCS
2004
IEEE
15 years 4 months ago
Worst-Case to Average-Case Reductions Based on Gaussian Measures
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
Daniele Micciancio, Oded Regev
PODS
2004
ACM
207views Database» more  PODS 2004»
16 years 14 days ago
Adaptive Sampling for Geometric Problems over Data Streams
Geometric coordinates are an integral part of many data streams. Examples include sensor locations in environmental monitoring, vehicle locations in traffic monitoring or battlefi...
John Hershberger, Subhash Suri
112
Voted
FOCS
2007
IEEE
15 years 6 months ago
On the Complexity of Nash Equilibria and Other Fixed Points (Extended Abstract)
d Abstract) Kousha Etessami LFCS, School of Informatics University of Edinburgh Mihalis Yannakakis Department of Computer Science Columbia University We reexamine what it means to...
Kousha Etessami, Mihalis Yannakakis