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Efficient multiplication using type $2$ optimal normal bases

Publications associées (83)

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Properties of Network Polynomials

Christina Fragouli, Javad Ebrahimi Boroojeni

It is well known that transfer polynomials play an important role in the network code design problem. In this paper we provide a graph theoretical description of the terms of such polynomials. We consider acyclic networks with arbitrary number of receivers ...

2012

Properties of Network Polynomials

Javad Ebrahimi Boroojeni

Ieee2012

Optimizing over the Growing Spectrahedron

Martin Jaggi

We devise a framework for computing an approximate solution path for an important class of parameterized semidefinite problems that is guaranteed to be ε-close to the exact solution path. The problem of computing the entire regularization path for matrix f ...

Springer Berlin Heidelberg2012

A Probabilistic Approach of Sum Rules for Heat Polynomials

Olivier Lévêque

In this paper, we show that the sum rules for generalized Hermite polynomials derived by Daboul and Mizrahi (2005 J. Phys. A: Math. Gen. 38 427-48) and by Graczyk and Nowak (2004 C. R. Acad. Sci., Ser. 1 338 849) can be interpreted and easily recovered usi ...

2012

Pre-selection of optical transitions in rare-earth ions in crystals perspective for quantum information processing

A systematic analysis of decoherence rates due to electron-phonon interactions for optical transitions of rare-earth dopant ions in crystals is presented in the frame of the point charge model. For this model, the large value of any one of the matrix eleme ...

Taylor & Francis2012

Implementation of optimal Galerkin and Collocation approximations of PDEs with Random Coefficients

Fabio Nobile, Lorenzo Tamellini

In this work we first focus on the Stochastic Galerkin approximation of the solution u of an elliptic stochastic PDE. We rely on sharp estimates for the decay of the coefficients of the spectral expansion of u on orthogonal polynomials to build a sequence ...

2011

On Sums of Locally Testable Affine Invariant Properties

Ghid Maatouk, Elena Grigorescu

Affine-invariant properties are an abstract class of properties that generalize some central algebraic ones, such as linearity and low-degree-ness, that have been studied extensively in the context of property testing. Affine invariant properties consider ...

Springer2011

Spread Spectrum for Universal Compressive Sampling

Pierre Vandergheynst, Yves Wiaux, Rémi Gribonval, Gilles Puy

We propose a universal and efficient compressive sampling strategy based on the use of a spread spectrum technique. The method essentially consists in a random pre-modulation of the signal of interest followed by projections onto randomly selected vectors ...

2011

Efficient SIMD arithmetic modulo a Mersenne number

Arjen Lenstra, Joppe Willem Bos, Thorsten Kleinjung

This paper describes carry-less arithmetic operations modulo an integer 2^M − 1 in the thousand-bit range, targeted at single instruction multiple data platforms and applications where overall throughput is the main performance criterion. Using an implemen ...

IEEE Computer Soc Press2011

Predicting Usefulness of Measuring Structures during Load Tests

Ian Smith, James-Alexandre Goulet

This paper presents an approach for model identifiability that builds upon recent research into measurement data interpretation. The objective of this approach is to determine probabilistically to what degree the number of models able to explain a measured ...

2010