Phd Position F/m Geometric Statistics On Stratified Quotient Spaces: Topologically Constrained Multi-atlases for Brain Diffeomorphometry

Le descriptif de l’offre ci-dessous est en Anglais_

**Type de contrat**: CDD

**Niveau de diplôme exigé**: Bac + 5 ou équivalent

**Autre diplôme apprécié**: Master 2

**Fonction**: Doctorant

**Niveau d'expérience souhaité**: Jeune diplômé

**A propos du centre ou de la direction fonctionnelle**:
The Inria centre at Université Côte d'Azur includes 42 research teams and 9 support services. The centre's staff (about 500 people) is made up of scientists of different nationalities, engineers, technicians and administrative staff. The teams are mainly located on the university campuses of Sophia Antipolis and Nice as well as Montpellier, in close collaboration with research and higher education laboratories and establishments (Université Côte d'Azur, CNRS, INRAE, INSERM...), but also with the regiona economic players.

With a presence in the fields of computational neuroscience and biology, data science and modeling, software engineering and certification, as well as collaborative robotics, the Inria Centre at Université Côte d'Azur is a major player in terms of scientific excellence through its results and collaborations at both European and international levels.

**Contexte et atouts du poste**:
The PhD project will take place at Inria Center of Université Côte d’Azur in the Epione team under the supervision of Xavier Pennec, in close collaboration with Mathieu Carrière in the Datashape team. This PhD is funded for 3 years as part of the project Meditwin where many teams from Inria, 3DS (Dassault Systemes), 7 IHUs (University Research Hospitals) and other partners contribute to build personalized virtual twins of organs, metabolism and cancer, for better diagnosis and treatment

**Mission confiée**:

- New stratified representations of template images / shapes;
- New representations of diffeomorphism and of their action on images or shapes;
- Innovative dimension reduction on transformation spaces;
- Innovative reduced-order image registration algorithms; Experimentations on real-world image databases to demonstrate the power of the developed methods.

**Principales activités**:

- Study the state of the art in diffeomorphic image registration, particularly based on stationnary velocity fields;
- Study geometric statistics metods in stratified quotient spaces;
- Study Topological data analysis (TDA) methods applied to 3D surfaces, functions and densities;
- Develop new sparse representations of images and densities;
- Develop new methods for atlas and multi-atlas construction from 3D medical images based on these new representations;
- Realise experiments on significant databases of medical images, notably brain images;
- Write and publish the scientific results in top level scientific journals and conferences.

**Compétences**:

- Master 2 degree with strong competences in mathematics, notably geometry and topology. Some knowledge in signal and image processing is necessary, some knowledge of medical imaging would be an important asset.
- Solid programming and IT skills are necessary (Python or C++, bash scripting, version control systems).
- Strong communication abilities with fluent English (written and spoken)

**Avantages**:

- Subsidized meals
- Partial reimbursement of public transport costs
- Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.)
- Possibility of teleworking (after 6 months of employment) and flexible organization of working hours
- Professional equipment available (videoconferencing, loan of computer equipment, etc.)
- Social, cultural and sports events and activities
- Access to vocational training

**Rémunération**:
Duration: 36 months
Location: Sophia Antipolis, France
Gross Salary per month: 2200€ (2025)

**Informations générales**:

- **Thème/Domaine**: Optimisation, apprentissage et méthodes statistiques
Statistiques (Big data) (BAP E)
- **Ville**: Sophia Antipolis
- **Centre Inria**: Centre Inria d'Université Côte d'Azur
- **Date de prise de fonction souhaitée**: 2025-10-01
- **Durée de contrat**: 3 ans
- **Date limite pour postuler**: 2025-08-31

**Consignes pour postuler**:
**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.

**Contacts**:

- **Équipe Inria**: EPIONE
- **Directeur de thèse**:
**L'essentiel pour réussir**:

- Passion for researc