Publications

• Pré-publication, Document de travail

Block-Additive Gaussian Processes under Monotonicity Constraints

Mathis Deronzier, Andrés F. López-Lopera, François Bachoc, O Roustant, Jérémy Rohmer

We generalize the additive constrained Gaussian process framework to handle interactions between input variables while enforcing monotonicity constraints everywhere on the input space. The block-additive structure of the model is particularly suitable in the presence of interactions, while…

2024. ⟨hal-04654255⟩

• 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…

2024. ⟨hal-04645086⟩

• Pré-publication, Document de travail

On the Quenched Functional Central Limit Theorem for Stationary Random Fields under Projective Criteria, Sur le TCL "Quenched" pour des champs stationnaires de variables aléatoires satisfaisant à une condition projective

Lucas Reding, Na Zhang

In this work we study and establish some quenched functional Central Limit Theorems (CLTs) for stationary random fields under a projective criteria. These results are functional generalizations of the theorems obtained by Zhang et al. (2020) and of the quenched functional CLTs for ortho-martingales…

2024. ⟨hal-03246736v3⟩

• Pré-publication, Document de travail

Asymptotic analysis for covariance parameter estimation of Gaussian processes with functional inputs

Lucas Reding, Andrés F. López-Lopera, François Bachoc

We consider covariance parameter estimation for Gaussian processes with functional inputs. From an increasing-domain asymptotics perspective, we prove the asymptotic consistency and normality of the maximum likelihood estimator. We extend these theoretical guarantees to encompass scenarios…

2024. ⟨hal-04559892v2⟩

• Article dans une revue

Engineering Precise Interconnected Porosity in β-Tricalcium Phosphate (β-TCP) Matrices by Means of Top-Down Digital Light Processing.

Thomas Wojcik, Feng Chai, V. Hornez, Gwénaël Raoul, J. C. Hornez

This study evaluated the biocompatibility and accuracy of 3D-printed β-tricalcium phosphate (β-TCP) pure ceramic scaffolds. A specific shaping process associating a digital light processing (DLP) 3D printer and a heat treatment was developed to produce pure β-TCP scaffolds leaving no polymer binder…

Biomedicines, 2024, Biomedicines, 12 (4), pp.736. ⟨10.3390/biomedicines12040736⟩. ⟨hal-04591735⟩

• Pré-publication, Document de travail

Estimation of subcritical Galton Watson processes with correlated immigration

Landy Rabehasaina, Yacouba Boubacar Mainassara

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…

2024. ⟨hal-04549758⟩

• Poster de conférence

Processus de fabrication de pièces céramiques piézoélectriques par FDM, Piezoelectric ceramic parts manufacturing process by FDM

Soufyane Satha, Aymen Mohamed Ben achour, Mohamed Rguiti, Christian Courtois

L'objectif de notre étude est la fabrication de structures piézoélectriques complexes en 3d en céramiques et composites sans plomb, pour des applications capteurs et transducteurs à l’aide de la technique fused deposition modeling “FDM”. Cette technique consiste en l’extrusion à chaud d’un…, The objective of our study is the fabrication of complex 3D piezoelectric structures in lead-free ceramics and composites, for sensor and transducer applications using the fused deposition modeling “FDM” technique. This technique consists of the hot extrusion of a thermoplastic filament consisting…

Mardi des chercheurs 2024, Mar 2024, Mons, Belgique. ⟨10.1016/j.scriptamat.2024.115994⟩. ⟨hal-04544805⟩

• Poster de conférence

Challenges in the synthesis & optical characterization of 2D ferroelectric Ba0.85Ca0.15Ti0.9Zr0.1O3 by RF sputtering

Yusuf K Bostan, Florian Jean, Denis Remiens, Jing Hua Teng, El Hadj Dogheche

Ferroelectric materials, such as BaTiO₃ and (Ba,Ca)(Ti,Zr)O₃ (BCTZ), are essential in modern technology, thanks to their permanent electrical dipoles and unique properties like piezoelectricity. These lead-free perovskites are especially valuable, offering tunability for advanced applications such…

Mardi des Chercheurs, Mar 2024, Mons, Belgium. 2024. ⟨hal-04622518⟩

• Pré-publication, Document de travail

Infinitely many normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

Pablo Carrillo, Damien Galant, Louis Jeanjean, Christophe Troestler

We consider the existence of solutions for nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearities. In an $L^2$-supercritical regime, we establish the existence of infinitely many solutions for any prescribed mass.

2024. ⟨hal-04590083⟩

• Pré-publication, Document de travail

Frequency-explicit stability estimates for time-harmonic elastodynamic problems in nearly incompressible materials

Théophile Chaumont-Frelet, Serge Nicaise

2024. ⟨hal-04500252⟩