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» Deterministic construction of an approximate M-ellipsoid and...
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SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 7 months ago
Deterministic construction of an approximate M-ellipsoid and its applications to derandomizing lattice algorithms
We give a deterministic O(log n)n -time and space algorithm for the Shortest Vector Problem (SVP) of a lattice under any norm, improving on the previous best deterministic nO(n) -...
Daniel Dadush, Santosh Vempala
CORR
2011
Springer
175views Education» more  CORR 2011»
12 years 11 months ago
A Matrix Hyperbolic Cosine Algorithm and Applications
Wigderson and Xiao presented an efficient derandomization of the matrix Chernoff bound using the method of pessimistic estimators [WX08]. Building on their construction, we prese...
Anastasios Zouzias
APPROX
2004
Springer
121views Algorithms» more  APPROX 2004»
13 years 10 months ago
Small Pseudo-random Families of Matrices: Derandomizing Approximate Quantum Encryption
A quantum encryption scheme (also called private quantum channel, or state randomization protocol) is a one-time pad for quantum messages. If two parties share a classical random s...
Andris Ambainis, Adam Smith
ISMIS
2009
Springer
13 years 11 months ago
Fuzzy Clustering for Categorical Spaces
Abstract. A multi-relational clustering method is presented which can be applied to complex knowledge bases storing resources expressed in the standard Semantic Web languages. It a...
Nicola Fanizzi, Claudia d'Amato, Floriana Esposito