Publications

Engineering Sciences

Enhanced Numerical Solutions for Fractional PDEs Using Monte Carlo PINNs Coupled with Cuckoo Search Optimization

In this study, we introduce an innovative approach for addressing fractional partial differential equations (fPDEs) by combining Monte Carlo-based physics-informed neural networks (PINNs) with the cuckoo search (CS) optimization algorithm, termed…

Tauqeer Ahmad, Muhammad Sulaiman, David Bassir, Fahad Sameer Alshammari, Ghaylen Laouini

Fractal and Fractional - 2025

Engineering Sciences

A Novel Meta-Learning-Based Spatio-Temporal Modeling Approach for Thermal Error Prediction of Multiple Machine Tools with Few Labeled Data

Chaochao Qiu, Qiongke Liang, Ling Yin, David Bassir, Lijuan Zhang, Weicheng Lin

SSRN Electronic Journal - 2025

Metric Geometry

Riemannian Metric Learning: Closer to You than You Imagine

Riemannian metric learning is an emerging field in machine learning, unlocking new ways to encode complex data structures beyond traditional distance metric learning. While classical approaches rely on global distances in Euclidean space, they often…

Samuel Gruffaz, Josua Sassen

Machine Learning

Personalized Convolutional Dictionary Learning of Physiological Time Series

Human physiological signals tend to exhibit both global and local structures: the former are shared across a population, while the latter reflect inter-individual variability. For instance, kinetic measurements of the gait cycle during locomotion…

Axel Roques, Samuel Gruffaz, Kyurae Kim, Alain O Durmus, Laurent Oudre

AISTATS 2025 - 2025

Methodology

Fusion of heterogeneous data for robust degradation prognostics

Assessing the degradation state of an industrial asset first requires evaluating its current condition and then to project the forecast model trajectory to a predefined prognostic threshold, thereby estimating its remaining useful life (RUL)…

Edgar Jaber, Emmanuel Remy, Vincent Chabridon, Mathilde Mougeot, Didier Lucor

Numerical Analysis

Selling's decomposition and the anisotropic wave equation

The design of efficient numerical schemes for anisotropic partial differential equations, featuring privileged directions in general not aligned with the coordinate axes, raises challenging discretization problems which can often be addressed with…

Malik Haloui, Ludovic Métivier, Jean-Marie Mirebeau

Analysis of PDEs

Towards an Optimal Collocation Point Strategy for PINNs

Chourouk El Hassanieh, Mathilde Mougeot

Le Consortium Recherche & Industrie CIROQUO - 2025

Methods and statistics

On the Transmission of Texts: Written Cultures as Complex Systems

Our knowledge of past cultures relies considerably on written material. For centuries, texts have been copied, altered, then transmitted or lost - eventually, from surviving documents, philologists attempt to reconstruct text phylogenies ("stemmata"…

Jean-Baptiste Camps, Julien Randon-Furling, Ulysse Godreau

Mathematics

About ∆-numeration

In this article we study a numeration system previously used to prove combinatorial properties in discrete geometry: the ∆-numeration. Since this system, introduced via the fully subtractive algorithm, has been seen mainly as a tool, we propose here…

Bastien Laboureix, Eric Domenjoud

WORDS 2025 - 2025

Mathematics

Unsupervised learning from attributed networks

Unlike the plain network where only the topological structure is available, nodes of attributed networks possess rich attributed information. Thereby, the attributed networks ubiquitous in the real world have attracted much attention in recent years…

Lazhar Labiod, Mohamed Nadif

Advances in Data Analysis and Classification - 2025