PhD Position F/M [Campagne CORDI-S] - Computational Algebra and Statistical Learning Theory
Contract type : Fixed-term contract
Level of qualifications required : Graduate degree or equivalent
Fonction : PhD Position
Context
The selected candidate will do her/his research at the OURAGAN team which is a joint team
of Inria Paris and IMJ-PRG Sorbonne Université. She/he will be located at Sorbonne University and she/he will work with Elias Tsigaridas.
Assignment
Singular Learning Theory (SLT) is a framework in statistical learning theory that focuses on analyzing and understanding (parametric)probability models, such as mixture models, hidden Markov models, and neural networks,
in the case where the parameter space has singularities. It expands traditional learning models that function under the assumption that the learning process is smoothly parametrizable. The goal of SLT is to improve the accuracy of the prediction of statistical learning.
To address the presense of singularities in the parameter space Watanabe introduced an approach based on the resolution of singularities; based on the famous work of Hironaka. Nevertheless, we still lack a complete and efficient approach for SLT based on this approach.
Main activities
We are looking for a PhD student to work on algorithms in Singular Learning Theory in the case where the we can
define (or approximate with guarantees) the functions that define the singularities of the parametric spaces
by polynomials. The emphasis will be on efficient algorithms for the resolution of singulatities in small dimension, e.g., 2 or 3. We will also investigate how recent techniques for sampling from (convex) bodies, relying continuous random walk, can help in this direction.
Skills
The candidate is expected to hold a research master (or equivalent qualification) in mathematics, applied mathematics or computer science.
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
- Flexible organization of working hours (after 12 months of employment)
- Professional equipment available (videoconferencing, loan of computer equipment, etc.)
- Social, cultural and sports events and activities
- Access to vocational training
Remuneration
Monthly gross salary : 2100 € during the first and second years. 2180 € the last year.
General Information
- Theme/Domain :
Algorithmics, Computer Algebra and Cryptology
Scientific computing (BAP E) - Town/city : Paris
- Inria Center : Centre Inria de Paris
- Starting date : 2024-10-01
- Duration of contract : 3 years
- Deadline to apply : 2024-05-19
Warning : you must enter your e-mail address in order to save your application to Inria. Applications must be submitted online on the Inria website. Processing of applications sent from other channels is not guaranteed.
Instruction to apply
The application must contain:
- CV
- Cover letter
- Master's notes
- Letters of recommendation
Defence Security :
This position is likely to be situated in a restricted area (ZRR), as defined in Decree No. 2011-1425 relating to the protection of national scientific and technical potential (PPST).Authorisation to enter an area is granted by the director of the unit, following a favourable Ministerial decision, as defined in the decree of 3 July 2012 relating to the PPST. An unfavourable Ministerial decision in respect of a position situated in a ZRR would result in the cancellation of the appointment.
Recruitment Policy :
As part of its diversity policy, all Inria positions are accessible to people with disabilities.
Contacts
- Inria Team : OURAGAN
-
PhD Supervisor :
Tsigaridas Elias / Elias.Tsigaridas@inria.fr
About Inria
Inria is the French national research institute dedicated to digital science and technology. It employs 2,600 people. Its 200 agile project teams, generally run jointly with academic partners, include more than 3,500 scientists and engineers working to meet the challenges of digital technology, often at the interface with other disciplines. The Institute also employs numerous talents in over forty different professions. 900 research support staff contribute to the preparation and development of scientific and entrepreneurial projects that have a worldwide impact.