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

Life Sciences

Cardiac acetylcholinesterase and butyrylcholinesterase have distinct localization and function

Cholinesterase (ChE) inhibitors are under consideration to be used in the treatment of cardiovascular pathologies. A prerequisite to advancing ChE inhibitors into the clinic is their thorough characterization in the heart. The aim here was to…

Dominika Dingová, Matej Kučera, Tibor Hodbod, Rodolphe Fischmeister, Eric Krejci, Anna Hrabovská

AJP - Heart and Circulatory Physiology - 2025

Computer Science

Cluster Insight: A Weighted Clustering Tool for Large Textual Data Exploration

In unsupervised learning, the exploration of large volumes of textual data is a topic of significant interest. In this article, we present our compact and easy-to-use application to explore large volumes of textual data using clustering and…

Amine Ferdjaoui, Séverine Affeldt, Mohamed Nadif

The 18th ACM International Conference on Web Search and Data Mining - 2025

Mathematics

Iteratively Reweighted Least Squares for Phase Unwrapping

The 2D phase unwrapping problem seeks to recover a phase image from its observation modulo 2$\pi$, and is a crucial step in a variety of imaging applications. In particular, it is one of the most time-consuming steps in the interferometric synthetic…

Benjamin Dubois-Taine, Roland Akiki, Alexandre D’aspremont

Optimization Methods and Software - 2025

Optimization and Control

Constrained Approximate Optimal Transport Maps

We investigate finding a map $g$ within a function class $G$ that minimises an Optimal Transport (OT) cost between a target measure $\nu$ and the image by $g$ of a source measure $\mu$. This is relevant when an OT map from $\mu$ to $\nu$ does not…

Eloi Tanguy, Agnès Desolneux, Julie Delon

ESAIM: Control, Optimisation and Calculus of Variations - 2025

Biomechanics

Some mathematical models for flagellar activation mechanisms

This paper focuses on studying a model for molecular motors responsible for the bending of the axoneme in the flagella of microorganisms. The model is a coupled system of partial differential equations inspired by Jülicher et al. or Camalet,…

François Alouges, Irene Anello, Antonio Desimone, Aline Lefebvre-Lepot, Jessie Levillain

Mathematical Models and Methods in Applied Sciences - 2025

Optimization and Control

Unbalanced L1 optimal transport for vector valued measures and application to Full Waveform Inversion

Optimal transport has recently started to be successfully employed to define misfit or loss functions in inverse problems. However, it is a problem intrinsically defined for positive (probability) measures and therefore strategies are needed for its…

Gabriele Todeschi, Ludovic Métivier, Jean-Marie Mirebeau

Journal of Computational Physics - 2025

Life Sciences

Machine learning models for diagnosis and risk prediction in eating disorders, depression, and alcohol use disorder

This study uses machine learning models to uncover diagnostic and risk prediction markers for eating disorders (EDs), major depressive disorder (MDD), and alcohol use disorder (AUD). Utilizing case-control samples (ages 18-25 years) and a…

Sylvane Desrivières, Zuo Zhang, Lauren Robinson, Robert Whelan, Lee Jollans, Zijian Wang, Frauke Nees, Congying Chu, Marina Bobou, Dongping Du, Ilinca Cristea, Tobias Banaschewski, Gareth Barker, Arun Bokde, Antoine Grigis, Hugh Garavan, Andreas Heinz, Rudiger Bruhl, Jean-Luc Martinot, Marie-Laure Paillère Martinot, Eric Artiges, Dimitri Papadopoulos Orfanos, Luise Poustka, Sarah Hohmann, Sabina Millenet, Juliane Fröhner, Michael Smolka, Nilakshi Vaidya, Henrik Walter, Jeanne Winterer, M. Broulidakis, Betteke van Noort, Argyris Stringaris, Jani Penttilä, Yvonne Grimmer, Corinna Insensee, Andreas Becker, Yuning Zhang, Sinead King, Julia Sinclair, Gunter Schumann, Ulrike Schmidt, Dimitri Papadopoulos Orfanos, Betteke van Noort

Journal of Affective Disorders - 2025

Other Statistics

Stein Boltzmann Sampling: A Variational Approach for Global Optimization

In this paper, we present a flow-based method for global optimization of continuous Sobolev functions, called Stein Boltzmann Sampling (SBS). SBS initializes uniformly a number of particles representing candidate solutions, then uses the Stein…

Gaëtan Serré, Argyris Kalogeratos, Nicolas Vayatis

Analysis of PDEs

Microlocal Partition of Energy for Fractional-Type Dispersive Equations

This paper is devoted to the proof of microlocal partition of energy for fractional-type dispersive equations including Schrödinger equation, linearized gravity or capillary water-wave equation and half-Klein-Gordon equation. Roughly speaking, a…

Haocheng Yang

Analysis & PDE - 2025