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» On the reduction of a random basis
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EUROCRYPT
2010
Springer
15 years 4 months ago
Bonsai Trees, or How to Delegate a Lattice Basis
We introduce a new lattice-based cryptographic structure called a bonsai tree, and use it to resolve some important open problems in the area. Applications of bonsai trees include...
David Cash, Dennis Hofheinz, Eike Kiltz, Chris Pei...
PKDD
2004
Springer
116views Data Mining» more  PKDD 2004»
15 years 5 months ago
Random Matrices in Data Analysis
We show how carefully crafted random matrices can achieve distance-preserving dimensionality reduction, accelerate spectral computations, and reduce the sample complexity of certai...
Dimitris Achlioptas
75
Voted
ISSAC
2007
Springer
105views Mathematics» more  ISSAC 2007»
15 years 5 months ago
Certification of the QR factor R and of lattice basis reducedness
Given a lattice basis of n vectors in Zn, we propose an algorithm using 12n3 + O(n2) floating point operations for checking whether the basis is LLL-reduced. If the basis is redu...
Gilles Villard
115
Voted
ACST
2006
15 years 1 months ago
Domain decomposition by radial basis functions for time dependent partial differential equations
In the last years, there has been an increased investigation of efficient algorithms to solve problems of great scale. The main restriction of the traditional methods, like finite...
José Antonio Muñoz-Gómez, Ped...
112
Voted
SIAMSC
2010
157views more  SIAMSC 2010»
14 years 10 months ago
Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations
We propose certified reduced basis methods for the efficient and reliable evaluation of a general output that is implicitly connected to a given parameterized input through the ha...
Yanlai Chen, Jan S. Hesthaven, Yvon Maday, Jer&oac...