Post-Doc M - F - Optimal Mean Estimation And Tests Under Constraints With An Information Theoretic Approach H/F - INRIA

A propos d'Inria

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'eorce ainsi de répondre aux enjeux de la transformation numérique de la science, de la société et de l'économie.
Post-Doc (M/F) - Optimal mean estimation and tests under constraints with an Information Theoretic approach
Le descriptif de l'offre ci-dessous est en Anglais
Type de contrat : CDD

Niveau de diplôme exigé : Thèse ou équivalent

Fonction : Chercheur contractuel

Niveau d'expérience souhaité : Jeune diplômé

A propos du centre ou de la direction fonctionnelle

Created in 2008, the Inria center at the University of Lille employs 360 people, including 305 scientists in 16 research teams. Recognized for its strong involvement in the socio-economic development of the Hauts-De-France region, the Inria center at the University of Lille maintains a close relationship with large companies and SMEs. By fostering synergies between researchers and industry, Inria contributes to the transfer of skills and expertise in the field of digital technologies, and provides access to the best of European and international research for the benefit of innovation and businesses, particularly in the region.

For over 10 years, the Inria center at the University of Lille has been at the heart of Lille's university and scientific ecosystem, as well as at the heart of Frenchtech, with a technology showroom based on avenue de Bretagne in Lille, on the EuraTechnologies site of economic excellence dedicated to information and communication technologies (ICT).

Contexte et atouts du poste

The objective is to carry out research work on problems of statistical estimation with the support of information theory. This research involves a literature review, mathematical analysis, and numerical simulations, as well as the writing of research papers and their possible presentation at international conferences.

Mission confiée

Missions:
The postdoctoral researcher will join the Scool team for a period of 24 months. They will conduct research on problems of statistical estimation supported by information theory, as described below. This research work involves a literature review, mathematical analysis, and numerical simulations, as well as the writing of research papers and their possible presentation at international conferences.

Scientific summary and references:

At the core of scientific experimental studies lies the question of hypothesis testing: is a new medical treatment better than a placebo? Is a new algorithm more efficient on a computational task than the current state of the art? Due to random fluctuations, experiments must be repeated over several trials (to collect multiple samples) before making a decision.

For these applications, statistical methods for hypothesis testing and estimation are needed, with formal guarantees on their probability of error. These methods should also require as few trials as possible in order to be applicable in domains where collecting samples is time-consuming or costly. To minimize the number of samples, tests should adapt to observations as they are collected.

Main references:

- Information Lower Bounds for Robust Mean Estimation (Degenne and Mathieu, 2025):
- The numeraire e-variable and reverse information projection (Larsson et al., 2025):

Collaboration:
The recruited researcher will work closely with Timothée Mathieu and Rémy Degenne, who will supervise the postdoc, as well as with the rest of the Inria Scool team.

Principales activités

The main activity will be fundamental research in mathematical statistics and some light experimentation on simulated data.

Compétences

The postdoctoral researcher will need to be able to read and interpret the literature and write academic scientific papers in the domain. Once the results found and written, they will also have to be able to present the results clearly to the community.

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 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

Rémunération

2 788 € Monthly Gross Salary