Type de contrat : CDD
Niveau de diplôme exigé : Bac + 5 ou équivalent
Fonction : Doctorant
Niveau d'expérience souhaité : Jeune diplômé
The Inria Centre at Rennes University is one of Inria's eight centres and has more than thirty research teams. The Inria Centre is a major and recognized player in the field of digital sciences. It is at the heart of a rich R&D and innovation ecosystem: highly innovative PMEs, large industrial groups, competitiveness clusters, research and higher education players, laboratories of excellence, technological research institute, etc.
The PhD will be conducted within Hycomes team of the Inria center at Rennes University and in the realm of the Engineering Digital Twins (EDT) program, a national initiative aiming to advance the science and engineering of digital twin systems.
The candidate will work in a research environment combining expertise in:
We are seeking a highly motivated PhD candidate to contribute to the Engineering Digital Twins (EDT) program within Catalyst: the Reliable Hybrid Model Forge. The research focuses on developing new methods, algorithms, and tools that help designers correct model/data mismatches in digital twins of physics-dominated systems.
Modern modeling languages and tools allow engineers to build large-scale models directly from first principles of physics. Languages such as Modelica enable scalable modeling of complex cyber-physical systems, often using modeling paradigms such as port-Hamiltonian systems.
While assembling models from component libraries is relatively straightforward, practitioners often face major challenges in:
This PhD aims to develop scalable methods that combine physics-based modeling with data-driven approaches to improve the reliability and accuracy of digital twin models.
A key challenge in digital twin engineering is the integration of experimental or simulated data into complex physics-based models.
Existing approaches typically rely on optimization-based data assimilation techniques, including:
Although powerful, these methods often do not scale well to large dynamical systems involving thousands of variables.
This PhD proposes to address this challenge using structural analysis techniques for differential-algebraic equation (DAE) systems.
The core research idea is to transform the problem of data integration into the analysis of structurally overdetermined models. By leveraging structural analysis algorithms, it becomes possible to compute Minimal Structurally Overdetermined (MSO) subsystems, which can act as parity spaces to detect inconsistencies between model predictions and observed data.
These MSO subsystems can be solved using measured data, and the resulting residuals provide indicators of model inconsistencies. This approach enables the localization of model/data mismatches and supports targeted model corrections. Ultimately, the goal is to assist designers in discovering structural deficiencies in equation-based models, by identifying where the available data cannot be explained by the current set of equations.
The PhD research will investigate:
The proposed methods are particularly attractive because they scale well to large sparse systems, potentially containing millions of equations, and do not require prior knowledge of the reachable state space.
monthly gross salary 2300 euros
Attention: Les candidatures doivent être déposées en ligne sur le site Inria. Le traitement des candidatures adressées par d'autres canaux n'est pas garanti.
Please submit online : your resume, cover letter and letters of recommendation eventually
Sécurité défense :
Ce poste est susceptible d’être affecté dans une zone à régime restrictif (ZRR), telle que définie dans le décret n°2011-1425 relatif à la protection du potentiel scientifique et technique de la nation (PPST). L’autorisation d’accès à une zone est délivrée par le chef d’établissement, après avis ministériel favorable, tel que défini dans l’arrêté du 03 juillet 2012, relatif à la PPST. Un avis ministériel défavorable pour un poste affecté dans une ZRR aurait pour conséquence l’annulation du recrutement.
Politique de recrutement :
Dans le cadre de sa politique diversité, tous les postes Inria sont accessibles aux personnes en situation de handicap.
Please submit the following documents:
Inria est l’institut national de recherche dédié aux sciences et technologies du numérique. Il emploie 2600 personnes. Ses 215 équipes-projets agiles, en général communes avec des partenaires académiques, impliquent plus de 3900 scientifiques pour relever les défis du numérique, souvent à l’interface d’autres disciplines. L’institut fait appel à de nombreux talents dans plus d’une quarantaine de métiers différents. 900 personnels d’appui à la recherche et à l’innovation contribuent à faire émerger et grandir des projets scientifiques ou entrepreneuriaux qui impactent le monde. Inria travaille avec de nombreuses entreprises et a accompagné la création de plus de 200 start-up. L'institut s'efforce ainsi de répondre aux enjeux de la transformation numérique de la science, de la société et de l'économie.
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