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» Randomized Algorithms and Complexity Theory
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TIT
2002
129views more  TIT 2002»
14 years 11 months ago
Arbitrary source models and Bayesian codebooks in rate-distortion theory
-- We characterize the best achievable performance of lossy compression algorithms operating on arbitrary random sources, and with respect to general distortion measures. Direct an...
Ioannis Kontoyiannis, Junshan Zhang
TSP
2010
14 years 6 months ago
Randomized and distributed self-configuration of wireless networks: two-layer Markov random fields and near-optimality
Abstract--This work studies the near-optimality versus the complexity of distributed configuration management for wireless networks. We first develop a global probabilistic graphic...
Sung-eok Jeon, Chuanyi Ji
FOCS
1997
IEEE
15 years 4 months ago
Randomized and Deterministic Algorithms for the Dimension of Algebraic Varieties
We prove old and new results on the complexity of computing the dimension of algebraic varieties. In particular, we show that this problem is NP-complete in the Blum-Shub-Smale mo...
Pascal Koiran
APPROX
2009
Springer
112views Algorithms» more  APPROX 2009»
15 years 6 months ago
Deterministic Approximation Algorithms for the Nearest Codeword Problem
The Nearest Codeword Problem (NCP) is a basic algorithmic question in the theory of error-correcting codes. Given a point v ∈ Fn 2 and a linear space L ⊆ Fn 2 of dimension k NC...
Noga Alon, Rina Panigrahy, Sergey Yekhanin
LOGCOM
2007
89views more  LOGCOM 2007»
14 years 11 months ago
Algorithmic Randomness of Closed Sets
We investigate notions of randomness in the space C[2N ] of nonempty closed subsets of {0, 1}N . A probability measure is given and a version of the Martin-L¨of test for randomne...
George Barmpalias, Paul Brodhead, Douglas Cenzer, ...