Publications

• Pré-publication, Document de travail

Error Bounds for a Kernel-Based Constrained Optimal Smoothing Approximation

Laurence Grammont, François Bachoc, Andrés F. López-Lopera

This paper establishes error bounds for the convergence of a piecewise linear approximation of the constrained optimal smoothing problem posed in a reproducing kernel Hilbert space (RKHS). This problem can be reformulated as a Bayesian estimation problem involving a Gaussian process related to the…

2025. ⟨hal-04645086v2⟩

• Article dans une revue

Thermoelastic properties of polycrystalline strontium titanium silicate Sr₂TiSi₂O₈ synthesized via the reactive sintering method

Oussama Zwein, Maurice Gonon, Sandra Abdelouhab, Isabella Mastroianni, Marc Duquennoy

The aim of the work presented in this paper is to investigate the thermoelastic properties of polycrystalline Sr-fresnoite Sr2TiSi2O8 (STS). On that purpose, Sr2TiSi2O8 samples were synthesized by solid state reactive sintering from SrCO3, TiO2 and SiO2 powders. The thermal expansion behaviour of…

Journal of the European Ceramic Society, 2025, 45 (6), pp.117224. ⟨10.1016/j.jeurceramsoc.2025.117224⟩. ⟨hal-04923467⟩

• Article dans une revue

Effects of La2O3 on structure and mechanical properties of sodium borosilicate glass

Meriem Ben Zennou, Ahmed Bachar, Meriem Chrifi Alaoui, Frédéric Jenot, Rachid Amrousse, Aurélien Canizares, Yann Vaills, Stuart Hampshire, Mohamed Rguiti, Assia Mabrouk

To develop rare-earth-doped borosilicate glasses with enhanced mechanical properties, lanthanum sodium borosilicate glasses were successfully synthesized using a fusion method. The glass composition was (mol.%): 55SiO2 - 25B2O3 – (20-x)Na2O - xLa2O3 (x = 1, 2, 3, 4, and 5). The primary aim was to…

Ceramics International, 2025, ⟨10.1016/j.ceramint.2025.05.337⟩. ⟨hal-05148570⟩

• Article dans une revue

Carleman-Based Reconstruction Algorithm on a wave Network

Lucie Baudouin, Maya de Buhan, Emmanuelle Crépeau, Julie Valein

In the context of a network of vibrating strings, modelled by interconnected linear partial differential equations, we are interested in the reconstruction of a zeroth order term of each one-dimensional wave equation involved, using some appropriate external boundary measurements. More precisely,…

Mathematics of Control, Signals, and Systems, 2025, ⟨10.1007/s00498-025-00413-z⟩. ⟨hal-04361363⟩

• Pré-publication, Document de travail

Optimization of explicit RKN schemes to minimize spurious reflections from shock wave propagation on non-uniform grids

Emmanuel Creusé, Mamadou N'Diaye, Juliette Venel, Cédric Hubert, Nicolas Leconte

The propagation of shock waves on non-uniform grids appears, for example, in some impact problems of the fast dynamics type. A good example is the construction of a Finite Element (FE) digital twin of the Split Hopkinson Bar device, which is a cornerstone of the fast dynamics community.…

2025. ⟨hal-05144415⟩

• Poster de conférence

Influence de la quantité de verre résiduel et la microstructure des vitrocéramiques polaires piézoélectriques sur la propagation des ondes acoustiques de surface (SAW)

Oussama Zwein, Marc Duquennoy, Dame Fall, Maurice Gonon, Zakariae Oumekloul, Christian Courtois

GFC 18, Mar 2025, Orléans, France. ⟨hal-05063490⟩

• Pré-publication, Document de travail

Estimating weak Markov-switching AR(1) models

Yacouba Boubacar Mainassara, Armel Bra, Landy Rabehasaina

In this paper, we present the asymptotic properties of the moment estimator for autoregressive (AR for short) models subject to Markovian changes in regime under the assumption that the errors are uncorrelated but not necessarily independent. We relax the standard independence assumption on the…

2025. ⟨hal-04975822⟩

• Pré-publication, Document de travail

Estimation of subcritical Galton Watson processes with correlated immigration

Yacouba Boubacar Mainassara, Landy Rabehasaina

We consider an observed subcritical Galton Watson process $\{Y_n,\ n\in \mathbb{Z} \}$ with correlated stationary immigration process $\{\epsilon_n,\ n\in \mathbb{Z} \}$. Two situations are presented. The first one is when $\mbox{Cov}(\epsilon_0,\epsilon_k)=0$ for $k$ larger than some $k_0$: a…, Nous considérons un processus observé de Galton Watson $\{Y_n,\ n\in \mathbb{Z} \}$ avec immigration modélisé par un processus corrélé $\{\epsilon_n,\ n\in \mathbb{Z} \}$. Nous présentons des résultats d’estimation du taux de reproduction et l’espérance de l’immigration dans deux situations. La…

2025. ⟨hal-04549758v2⟩

• Pré-publication, Document de travail

Gaussian Process-driven Hidden Markov Models for Early Diagnosis of Infant Gait Anomalies

Luis Torres-Torres F., Jonatan Arias-García, Hernán F. García, Andrés F. López-Lopera, Jesús F. Vargas-Bonilla

Gait analysis is critical in the early detection and intervention of motor neurological disorders in infants. Despite its importance, traditional methods often struggle to model the high variability and rapid developmental changes inherent to infant gait. To address these challenges, we propose a…

2025. ⟨hal-04937628⟩

• Pré-publication, Document de travail

Null controllability of a highly coupled fourth-order parabolic system with one internal control

Nicolás Carreño, Eduardo Cerpa, Emmanuelle Crépeau, Claudia Moreno

<div><p>Controlling systems of partial differential equations with fewer controls than states has been a central topic in the last decades. The nature of the equations and existing couplings are key factors to consider. Even if we can find several works for parabolic systems, there are…

2025. ⟨hal-04934479⟩