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» On the nonlinearity of linear recurrence sequences
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APPML
2006
81views more  APPML 2006»
13 years 11 months ago
On the nonlinearity of linear recurrence sequences
We obtain an upper bound on a new type of exponential sums with linear recurrence sequences. We apply this bound to estimate the Fourier coefficients, and thus the nonlinearity, o...
Igor Shparlinski, Arne Winterhof
DAM
2006
66views more  DAM 2006»
13 years 11 months ago
Positivity of second order linear recurrent sequences
We give an elementary proof for the Positivity Problem for second order recurrent sequences: it is decidable whether or not a recurrent sequence defined by un = aun-1 + bun-2 has ...
Vesa Halava, Tero Harju, Mika Hirvensalo
AAECC
1998
Springer
88views Algorithms» more  AAECC 1998»
13 years 10 months ago
A Generalization of the Massey-Ding Algorithm
The set of all linear recurrence relations satisfied by given sequences of finite length is described by the annihilator ideal of the sequences. The MasseyDing algorithm to compu...
Joachim Althaler, Arne Dür
GECCO
2005
Springer
204views Optimization» more  GECCO 2005»
14 years 4 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...
TCC
2007
Springer
170views Cryptology» more  TCC 2007»
14 years 5 months ago
Secure Linear Algebra Using Linearly Recurrent Sequences
In this work we present secure two-party protocols for various core problems in linear algebra. Our main result is a protocol to obliviously decide singularity of an encrypted matr...
Eike Kiltz, Payman Mohassel, Enav Weinreb, Matthew...