Zobrazeno 1 - 10
of 129
pro vyhledávání: '"Despres, Bruno"'
Autor:
Pintore, Moreno, Després, Bruno
Deriving sharp and computable upper bounds of the Lipschitz constant of deep neural networks is crucial to formally guarantee the robustness of neural-network based models. We analyse three existing upper bounds written for the $l^2$ norm. We highlig
Externí odkaz:
http://arxiv.org/abs/2410.21053
Autor:
Dai, Ruiyang, Després, Bruno
We analyze why the discretization of linear transport with asymmetric Hermite basis functions can be instable in quadratic norm. The main reason is that the finite truncation of the infinite moment linear system looses the skew-symmetry property with
Externí odkaz:
http://arxiv.org/abs/2405.07811
Publikováno v:
In European Journal of Mechanics / B Fluids May-June 2024 105:25-33
Autor:
Després, Bruno
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 January 2024 418 Part A
Publikováno v:
Journal of Statistical Physics volume 183 article 23 (2021) 57 pp
We study the Bernstein-Landau paradox in the collisionless motion of an electrostatic plasma in the presence of a constant external magnetic field. The Bernstein-Landau paradox consists in that in the presence of the magnetic field, the electric fiel
Externí odkaz:
http://arxiv.org/abs/2002.11380
The motivation of this work stems from the numerical approximation of bounded functions by polynomials satisfying the same bounds. The present contribution makes use of the recent algebraic characterization found in [B. Despr\'es, Numer. Algorithms,
Externí odkaz:
http://arxiv.org/abs/1905.05546
Autor:
Després, Bruno, Herda, Maxime
Publikováno v:
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics
We propose an iterative algorithm for the numerical computation of sums of squares of polynomials approximating given data at prescribed interpolation points. The method is based on the definition of a convex functional $G$ arising from the dualizati
Externí odkaz:
http://arxiv.org/abs/1812.02444
Publikováno v:
In Journal of Computational Physics 15 January 2023 473
Autor:
Després, Bruno, Weder, Ricardo
Publikováno v:
Physics Letters A vol 380 (2016) 1284-1289
We study the long-time asymptotic of the solutions to Maxwell's equation in the case of a upper-hybrid resonance in the cold plasma model. We base our analysis in the transfer to the time domain of the recent results of B. Despr\'es, L.M. Imbert-G\'e
Externí odkaz:
http://arxiv.org/abs/1507.04791
Autor:
Després, Bruno, Jourdren, Hervé
Publikováno v:
In Journal of Computational Physics 1 May 2020 408