Zobrazeno 1 - 10
of 283
pro vyhledávání: '"MAGRON, VICTOR"'
State, trace, and moment polynomials are polynomial expressions in several operator or random variables and positive functionals on their products (states, traces or expectations). While these concepts, and in particular their positivity and optimiza
Externí odkaz:
http://arxiv.org/abs/2412.12342
Autor:
Gyotoku, Hibiki, Yuno, Tsuyoshi, Ebihara, Yoshio, Magron, Victor, Peaucelle, Dimitri, Tarbouriech, Sophie
This study investigates the absolute stability criteria based on the framework of integral quadratic constraint (IQC) for feedback systems with slope-restricted nonlinearities. In existing works, well-known absolute stability certificates expressed i
Externí odkaz:
http://arxiv.org/abs/2411.14339
This paper explores methods for verifying the properties of Binary Neural Networks (BNNs), focusing on robustness against adversarial attacks. Despite their lower computational and memory needs, BNNs, like their full-precision counterparts, are also
Externí odkaz:
http://arxiv.org/abs/2405.17049
We describe a parametric univariate quadratic optimization problem for which the moment-SOS hierarchy has finite but increasingly slow convergence when the parameter tends to its limit value. We estimate the order of finite convergence as a function
Externí odkaz:
http://arxiv.org/abs/2403.08329
Stability Analysis of Feedback Systems with ReLU Nonlinearities via Semialgebraic Set Representation
Autor:
Nishinaka, Shingo, Saeki, Rin, Yuno, Tsuyoshi, Ebihara, Yoshio, Magron, Victor, Peaucelle, Dimitri, Zoboli, Samuele, Tarbouriech, Sophie
This paper is concerned with the stability analysis problem of feedback systems with rectified linear unit (ReLU) nonlinearities. Such feedback systems arise when we model dynamical (recurrent) neural networks (NNs) and NN-driven control systems wher
Externí odkaz:
http://arxiv.org/abs/2403.04016
This work focuses on minimizing the eigenvalue of a noncommutative polynomial subject to a finite number of noncommutative polynomial inequality constraints. Based on the Helton-McCullough Positivstellensatz, the noncommutative analog of Lasserre's m
Externí odkaz:
http://arxiv.org/abs/2402.02126
Autor:
Ebihara, Yoshio, Sebe, Noboru, Waki, Hayato, Peaucelle, Dimitri, Tarbouriech, Sophie, Magron, Victor, Hagiwara, Tomomichi
This paper is concerned with the analysis of the $L_p\ (p\in[1,\infty), p=\infty)$ induced norms of continuous-time linear systems where input signals are restricted to be nonnegative. This norm is referred to as the $L_{p+}$ induced norm in this pap
Externí odkaz:
http://arxiv.org/abs/2402.01288
Autor:
Ebihara, Yoshio, Waki, Hayato, Sebe, Noboru, Magron, Victor, Peaucelle, Dimitri, Tarbouriech, Sophie
This paper is concerned with the analysis of the $L_{2}$ induced norm of continuous-time LTI systems where the input signals are restricted to be nonnegative. This induced norm is referred to as the $L_{2+}$ induced norm in this paper. It has been sh
Externí odkaz:
http://arxiv.org/abs/2401.03242
This paper is concerned with the computation of the local Lipschitz constant of feedforward neural networks (FNNs) with activation functions being rectified linear units (ReLUs). The local Lipschitz constant of an FNN for a target input is a reasonab
Externí odkaz:
http://arxiv.org/abs/2310.11104
Autor:
Wang, Jie, Surace, Jacopo, Frérot, Irénée, Legat, Benoît, Renou, Marc-Olivier, Magron, Victor, Acín, Antonio
A ubiquitous problem in quantum physics is to understand the ground-state properties of many-body systems. Confronted with the fact that exact diagonalisation quickly becomes impossible when increasing the system size, variational approaches are typi
Externí odkaz:
http://arxiv.org/abs/2310.05844