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» Secure Linear Algebra Using Linearly Recurrent Sequences
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LSSC
2001
Springer
14 years 1 months ago
Solving Systems of Linear Algebraic Equations Using Quasirandom Numbers
In this paper we analyze a quasi-Monte Carlo method for solving systems of linear algebraic equations. It is well known that the convergence of Monte Carlo methods for numerical in...
Aneta Karaivanova, Rayna Georgieva
GECCO
2005
Springer
204views Optimization» more  GECCO 2005»
14 years 2 months ago
Modeling systems with internal state using evolino
Existing Recurrent Neural Networks (RNNs) are limited in their ability to model dynamical systems with nonlinearities and hidden internal states. Here we use our general framework...
Daan Wierstra, Faustino J. Gomez, Jürgen Schm...
CORR
2012
Springer
183views Education» more  CORR 2012»
12 years 4 months ago
Twisting q-holonomic sequences by complex roots of unity
A sequence fn(q) is q-holonomic if it satisfies a nontrivial linear recurrence with coefficients polynomials in q and qn . Our main theorem states that q-holonomicity is preserve...
Stavros Garoufalidis, Christoph Koutschan
SC
2009
ACM
14 years 3 months ago
Automating the generation of composed linear algebra kernels
Memory bandwidth limits the performance of important kernels in many scientific applications. Such applications often use sequences of Basic Linear Algebra Subprograms (BLAS), an...
Geoffrey Belter, Elizabeth R. Jessup, Ian Karlin, ...
EUROCRYPT
2003
Springer
14 years 1 months ago
Algebraic Attacks on Stream Ciphers with Linear Feedback
A classical construction of stream ciphers is to combine several LFSRs and a highly non-linear Boolean function f. Their security is usually analysed in terms of correlation attack...
Nicolas Courtois, Willi Meier