2019-01288 - [EPIONE] Post-Doctoral Research Visit or Starting Research Position F/M on Geometric Statistics, ERC Advance grant G-Statistics / PhD or equivalent

Contract type : Public service fixed-term contract

Renewable contract : Oui

Level of qualifications required : PhD or equivalent

Fonction : Tempary Research Position

About the research centre or Inria department

The Inria Sophia Antipolis - Méditerranée center counts 37 research teams and 9 support departments. The center's staff (about 600 people including 400 Inria employees) is composed of scientists of different nationalities (250 foreigners of 50 nationalities), engineers, technicians and administrators. 1/3 of the staff are civil servants, the others are contractual. The majority of the research teams at the center are located in Sophia Antipolis and Nice in the Alpes-Maritimes. Six teams are based in Montpellier and a team is hosted by the computer science department of the University of Bologna in Italy. The Center is a member of the University and Institution Community (ComUE) "Université Côte d'Azur (UCA)".

Context

The successful candidates will work in the Inria Epione lab. (https://www.inria.fr/equipes/epione) ideally located at the heart of the French Riviera, close to Nice, Monaco, Cannes and Antibes (France), within the framework of the European Research Council (ERC) Advanced Grant G-Statistics (Geometric Statistics) started on Sept. 1st 2018 for a duration of 5 years.

At the crossing of geometry and statistics, G-Statistics aims at grounding the mathematical foundations of geometric statistics and to exemplify their impact on selected applications in the life sciences.So far, mainly Riemannian manifolds and negatively curved metric spaces have been studied. Other geometric structures like quotient spaces, stratified spaces or affine connection spaces naturally arise in applications. G-Statistics will explore ways to unify statistical estimation theories, explaining how the statistical estimations diverges from the Euclidean case in the presence of curvature, singularities, stratification. Beyond classical manifolds, particular emphasis will be put on flags of subspaces in manifolds as they appear to be natural mathematical object to encode hierarchically embedded approximation spaces.

In order to establish geometric statistics as an effective discipline, G-Statistics will propose new mathematical structures and characterizations of their properties. It will also implement novel generic algorithms and illustrate the impact of some of their efficient specializations on selected applications in life sciences. Surveying the manifolds of anatomical shapes and forecasting their evolution from databases of medical images is a key problem in computational anatomy requiring dimension reduction in non-linear spaces and Lie groups. By inventing radically new principled estimations methods, we aim at illustrating the power of the methodology and strengthening the “unreasonable effectiveness of mathematics” for life sciences.

More information:

Assignment

Post-Doctoral (up to 2 years) / Starting Research Position (up to 4 years) is offered within the framework of the European Research Council (ERC) Advanced Grant G-Statistics (Geometric Statistics) started on Sept. 1st 2018 for a duration of 5 years.

Main activities

  • Contribute with a very high level research work on the scientific subjects of the ERC G-Statistics. A particular emphasis will be put on statistics and original dimension reduction methods on Lie groups and shape spaces of potentially infinite dimension, with applications to computational anatomy.
  • Animate the scientific life of the ERC (seminars, working groups, etc).
  • Participate to the supervision of PhD student within the ERC.
  • Regular travel is foreseen to participate to seminars, conferences, etc. Travel expenses are covered within the limits of the scale in force.

Skills

Applicants for a Post-Doctoral / Starting research position must have a Ph.D thesis in mathematics related to geometry or statistics, with a publication record in high quality journals and conferences. They should justify an educational and/or work experience in both geometry and statistics, as well as in programming.

The position should be seen as an exceptional opportunity to do top-level research for a long period (2 to 4 years) on the themes of the ERC G-Statistics.

Benefits package

  • 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
  • Social security coverage

Remuneration

From 2900€ brutto per month ( depending on working experience)