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84 papers · 1 filter
Distributed convergence detection based on global residual error under asynchronous iterations
Frédéric Magoulès, Guillaume Gbikpi-Benissan
Convergence of classical parallel iterations is detected by performing a reduction operation at each iteration in order to compute a residual error relative to a potential solution…
Asynchronous iterations of HSS method for non-Hermitian linear systems
Guillaume Gbikpi-Benissan, Qinmeng Zou, Frédéric Magoulès
A general asynchronous alternating iterative model is designed, for which convergence is theoretically ensured both under classical spectral radius bound and, then, for a classical…
Resilient asynchronous primal Schur method
Guillaume Gbikpi-Benissan, Frédéric Magoulès
This paper introduces the application of the asynchronous iterations theory within the framework of the primal Schur domain decomposition method. A suitable relaxation scheme is de…
Asynchronous multiplicative coarse-space correction
Guillaume Gbikpi-Benissan, Frédéric Magoulès
This paper introduces the multiplicative variant of the recently proposed asynchronous additive coarse-space correction method. Definition of an asynchronous extension of multiplic…
Safety verification of Neural-Network-based controllers: a set invariance approach
Louis Jouret, Adnane Saoud, Sorin Olaru
This paper presents a novel approach to ensure the safety of continuous-time linear dynamical systems controlled by a neural network (NN) based state-feedback. Our method capitaliz…
Convex Parameter Estimation of Perturbed Multivariate Generalized Gaussian Distributions
Nora Ouzir, Frédéric Pascal, Jean-Christophe Pesquet
The multivariate generalized Gaussian distribution (MGGD), also known as the multivariate exponential power (MEP) distribution, is widely used in signal and image processing. Howev…