output
20192026
most citedNonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces

42 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

12 papers

physics.med-ph2026

Optically Encoded Suspension Microarrays: Materials, Design Strategies, and Future Directions for Multiplexed Bioanalysis

Mikhail Sokolov, Irina S. Kriukova, Alyona Sukhanova +1

Suspension microarrays based on optically encoded microbeads have become one of the most versatile platforms for multiplexed bioanalysis because they combine solution-phase reactio…

math.AP2025

An abstract framework for a class of nonlocal structured population models: existence, uniqueness and stability of steady states

Jérôme Coville, Léo Girardin

This paper is concerned with the study of a class of nonlinear nonlocal functional evolution problems defined in an abstract Banach algebra. We introduce an abstract functional set…

cs.LG2025

Surrogate Modeling via Factorization Machine and Ising Model with Enhanced Higher-Order Interaction Learning

Anbang Wang, Dunbo Cai, Yu Zhang +3

Recently, a surrogate model was proposed that employs a factorization machine to approximate the underlying input-output mapping of the original system, with quantum annealing used…

math.AP2025

Periodic KPP equations: new insights into persistence, spreading, and the role of advection

Nathanaël Boutillon, François Hamel, Lionel Roques

We focus on the persistence and spreading properties for a heterogeneous Fisher-KPP equation with advection. After reviewing the different notions of persistence and spreading spee…

q-bio.QM2022★ 4 cited

Integrative omics framework for characterization of coral reef ecosystems from the Tara Pacific expedition

Caroline Belser, Julie Poulain, Karine Labadie +33

Coral reef science is a fast-growing field propelled by the need to better understand coral health and resilience to devise strategies to slow reef loss resulting from environmenta…

cs.LG2022★ 2 cited

Graph Structure Based Data Augmentation Method

Kyung Geun Kim, Byeong Tak Lee

In this paper, we propose a novel graph-based data augmentation method that can generally be applied to medical waveform data with graph structures. In the process of recording med…

math.NA2022

Deep Learning-based Schemes for Singularly Perturbed Convection-Diffusion Problems

A. Beguinet, V. Ehrlacher, R. Flenghi +3

Deep learning-based numerical schemes such as Physically Informed Neural Networks (PINNs) have recently emerged as an alternative to classical numerical schemes for solving Partial…

math.NA2020

CP-TT: using TT-SVD to greedily construct a Canonical Polyadic tensor approximation

Virginie Ehrlacher, Maria Fuente Ruiz, Damiano Lombardi

In the present work, a method is proposed in order to compute a Canonical Polyadic (CP) approximation of a given tensor. It is based on a greedy method and an adaptation of the TT-…

physics.bio-ph2020★ 40 cited

Large-scale orientational order in bacterial colonies during inward growth

Mustafa Başaran, Y. Ilker Yaman, Tevfik Can Yuce +2

During colony growth, complex interactions regulate the bacterial orientation, leading to the formation of large-scale ordered structures, including topological defects and microdo…

math.OC2020★ 1 cited

Depth-Adaptive Neural Networks from the Optimal Control viewpoint

Joubine Aghili, Olga Mula

In recent years, deep learning has been connected with optimal control as a way to define a notion of a continuous underlying learning problem. In this view, neural networks can be…

math.NA2019★ 42 cited

Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces

V. Ehrlacher, D. Lombardi, O. Mula +1

We consider the problem of model reduction of parametrized PDEs where the goal is to approximate any function belonging to the set of solutions at a reduced computational cost. For…

cs.RO2019★ 1 cited

Evaluation of a 1-DOF Hand Exoskeleton for Neuromuscular Rehabilitation

Xinalian Zhou, Ashley Mont, Sergei Adamovich

A low-cost 1-DOF hand exoskeleton for neuromuscular rehabilitation has been designed and assembled. It consists of a base equipped with a servo motor, an index finger part, and a t…