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FOCS
2004
IEEE
13 years 11 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
TIT
1998
127views more  TIT 1998»
13 years 7 months ago
On a New Class of Codes for Identifying Vertices in Graphs
—We investigate a new class of codes for the optimal covering of vertices in an undirected graph Gsuch that any vertex in G can be uniquely identified by examining the vertices ...
Mark G. Karpovsky, Krishnendu Chakrabarty, Lev B. ...
CORR
2008
Springer
117views Education» more  CORR 2008»
13 years 6 months ago
Complexity of Decoding Positive-Rate Reed-Solomon Codes
Abstract. The complexity of maximum likelihood decoding of the ReedSolomon codes [q -1, k]q is a well known open problem. The only known result [4] in this direction states that it...
Qi Cheng, Daqing Wan
ICIP
1998
IEEE
13 years 11 months ago
Vector Set-Partitioning with Successive Refinement Voronoi Lattice VQ for Embedded Wavelet Image Coding
: While lattice vector quantization (LVQ) can solve the complexity problem of LBG based vector quantizers, and also yield very general codebooks, a single stage lattice VQ, when ap...
Debargha Mukherjee, Sanjit K. Mitra
LPNMR
2009
Springer
14 years 2 months ago
The Complexity of Circumscriptive Inference in Post's Lattice
Circumscription is one of the most important formalisms for reasoning with incomplete information. It is equivalent to reasoning under the extended closed world assumption, which a...
Michael Thomas