L’ED SISMI propose le sujet de thèse suivant :

Intitulé du sujet : distributed optimal transport with application to multi-agent systems

Ce projet serait sous la direction de Patrick COIRAULT du LIAS à l’Université de Poitiers

Co-directeurs renseignés : Emmanuel MOULAY /

Les financements sont : co-tutelle avec Polytechnic Montreal, demi-bourse Région NAQ non acquis

Le début de la thèse est prévu pour : 10/2022

Mots clés du sujet : Optimal transport, mutli-agents systems, control theory

Présentation du sujet : A fully funded PhD position is available jointly between the University of Poitiers, France, and Polytechnique Montreal, Canada. The topic is distributed optimal transport with application to multi-agent systems, in particular the coordination of multi-robot systems. Optimal transport problems, which Monge originally motivated by the problem of transporting material from an initial to a final spatial distribution, constitute a fundamental class of resource allocation problems. There has been in the last few years a renewed interest in this topic, motivated by progress in computational methods, applications to machine learning, or connections to active research areas in control such as mean-field games. The proposed project will develop methodologies and algorithms based on optimal transport theory for the control of distributed large-scale systems composed of a large number of agents, whose distribution must be shaped to match them efficiently to a set of tasks

Objectifs : The student will be spend half of her/his time in Montreal and the other half in Poitiers. In Montreal, she/he will be affiliated with the department of electrical engineering at Polytechnique Montreal and with GERAD, a multi-university research center on decision systems. Experimental facilities are also available with the Mobile Robotics and Autonomous Systems Laboratory. More information on graduate studies at Polytechnique Montreal can be found here https://www.polymtl.ca/futur-etudes-superieures/en

Description du sujet : A fully funded PhD position is available jointly between the University of Poitiers, France, and Polytechnique Montreal, Canada. The topic is distributed optimal transport with application to multi-agent systems, in particular the coordination of multi-robot systems. Optimal transport problems, which Monge originally motivated by the problem of transporting material from an initial to a final spatial distribution, constitute a fundamental class of resource allocation problems. There has been in the last few years a renewed interest in this topic, motivated by progress in computational methods, applications to machine learning, or connections to active research areas in control such as mean-field games. The proposed project will develop methodologies and algorithms based on optimal transport theory for the control of distributed large-scale systems composed of a large number of agents, whose distribution must be shaped to match them efficiently to a set of tasks.

Compétences acquises à l’issue de la thèse : Optimal transport, mutli-agents systems, control theory

Présentation de l’équipe d’accueil : The student will be spend half of her/his time in Montreal and the other half in Poitiers. In Montreal, she/he will be affiliated with the department of electrical engineering at Polytechnique Montreal and with GERAD, a multi-university research center on decision systems. Experimental facilities are also available with the Mobile Robotics and Autonomous Systems Laboratory. More information on graduate studies at Polytechnique Montreal can be found here https://www.polymtl.ca/futur-etudes-superieures/en In Poitiers, she/he will be affiliated with the University of Poitiers and the LIAS laboratory, in the team Automatic Control & Systems. Although the laboratory is deeply linked to the new Information and Communications Technology as far as its fundamental fields are concerned, the LIAS, through its main applications (energy management, water treatment, complex systems modelling, or the optimisation of real-time systems), is naturally involved in many specialized engineering fields. The main research interests of the Automatic Control & Systems members include system identification and control of systems. As far as system identification is concerned, the team works on modelling, identification and diagnosis of non-linear systems governed by ordinary as well as partial differential equations. A part of the work concerns the analysis and the design of feedback control laws satisfying specific

Compétences souhaitées pour les candidats : Interested applicants should have a master’s degree in engineering, computer science, applied mathematics or a related field. A strong background in mathematical methods applied to an area such as control theory, robotics, dynamical systems, machine learning, signal processing, optimization, etc. is desirable.

Pour plus d’informations et pour candidater, merci de contacter :

Date de dépôt : 14/02/2022 à 10 h 18 min