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» Some Sieving Algorithms for Lattice Problems
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FOCS
2004
IEEE
13 years 9 months ago
Hardness of Approximating the Shortest Vector Problem in Lattices
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
Subhash Khot
COCO
2004
Springer
147views Algorithms» more  COCO 2004»
13 years 9 months ago
The Complexity of the Covering Radius Problem on Lattices and Codes
We initiate the study of the computational complexity of the covering radius problem for point lattices, and approximation versions of the problem for both lattices and linear cod...
Venkatesan Guruswami, Daniele Micciancio, Oded Reg...
ISIM
2007
13 years 7 months ago
Using Matrix Decompositions in Formal Concept Analysis
One of the main problems connected with the formal concept analysis and lattice construction is the high complexity of algorithms which plays a significant role when computing all ...
Václav Snásel, Petr Gajdos, Hussam M...
ACISP
2010
Springer
13 years 7 months ago
Solving Generalized Small Inverse Problems
We introduce a "generalized small inverse problem (GSIP)" and present an algorithm for solving this problem. GSIP is formulated as finding small solutions of f(x0, x1, . ...
Noboru Kunihiro
SYRCODIS
2007
126views Database» more  SYRCODIS 2007»
13 years 6 months ago
Concept Lattice Reduction by Singular Value Decomposition
High complexity of lattice construction algorithms and uneasy way of visualising lattices are two important problems connected with the formal concept analysis. Algorithm complexi...
Václav Snásel, Martin Polovincak, Hu...