PhD Position F/M PhD Position in Optimization

Inria
September 30, 2022
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2022-05333 - PhD Position F/M PhD Position in Optimization

Contract type : Fixed-term contract

Level of qualifications required : Graduate degree or equivalent

Fonction : PhD Position

About the research centre or Inria department

Located at the heart of the main national research and higher education cluster, member of the Université Paris Saclay, a major actor in the French Investments for the Future Programme (Idex, LabEx, IRT, Equipex) and partner of the main establishments present on the plateau, the centre is particularly active in three major areas: data and knowledge; safety, security and reliability; modelling, simulation and optimisation (with priority given to energy).

The 450 researchers and engineers from Inria and its partners who work in the research centre's 28 teams, the 60 research support staff members, the high- level equipment at their disposal (image walls, high-performance computing clusters, sensor networks), and the privileged relationships with prestigious industrial partners, all make Inria Saclay Île-de-France a key research centre in the local landscape and one that is oriented towards Europe and the world.

Context

In the context of the ERC STG MAJORIS European project , our aim in this PhD thesis, is to propose a new generation of majoration-minimization algorithms for non-convex stochastic optimization problems arising in statistics.

Subject : Many problems encountered in statistics rely on the minimization of a non-convex function for which parameters are not fully accessible. In such contexts, stochastic approximation techniques are required. Stochastic errors can also arise from early stopping of inner solvers due to computational time constraints, to communication flaws in practical distributed implementations, or to imprecise knowledge of the acquisition models. The design of algorithms converging rapidly to a solution to the corresponding stochastic minimization problems is very challenging. The objective of this PhD thesis is to investigate the convergence analysis of the MM methods in the stochastic framework. Applications to the field of statistics, such as independent vector analysis, are foreseen.

Assignment

Missions : The recruited student will investigate new stochastic MM optimization schemes for non-convex optimization. The main challenges are : convergence analysis, convergence rate study, practical implementation on non- convex problems arising in statistics.

Environment : The PhD will be directed by Emilie Chouzenoux (Inria Saclay, PI of the ERC project MAJORIS). A collaboration with Prof. Tulai Adali (University of Baltimore, USA) is planned. The PhD student will join the Inria Saclay team OPIS (https: // opis-inria.eu/). He/she will be located in the Centre de la Vision Numérique, in CentraleSupélec campus, Saclay, France. He/she will enjoy an international and creative environment where research seminars and reading groups take place very often.

Travel and informatic material expenses will be covered within the limits of the scale in force.

Main activities

Main activities :

  • Bibliographic study
  • Convergence analysis
  • Implementation of the methods in Python/Matlab softwares
  • Validation on numerical examples
  • Writing of scientific reports
  • Skills

    Languages : The candidate must be fluent in english and/or french languages.

    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

    Monthly gross salary (1st and 2nd year) : 1.982 euros

    Monthly gross salary (3rd year) : 2.085 euros

    General Information
  • Theme/Domain : Optimization, machine learning and statistical methods Statistics (Big data) (BAP E)

  • Town/city : Gif sur Yvette

  • Inria Center : CRI Saclay - Île-de-France
  • Starting date : 2022-10-03
  • Duration of contract : 3 years, 3 months
  • Deadline to apply : 2022-09-30
  • Contacts
  • Inria Team : OPIS
  • PhD Supervisor : Chouzenoux Emilie / emilie.chouzenoux@inria.fr
  • The keys to success

    We are looking for a motivated and talented PhD student with

  • solid background in optimization
  • strong mathematical skills, including convergence analysis
  • if possible, experience in research environment (for e.g., during Master training period)
  • experience in programming, preferably in Matlab and/or Python
  • experience in writing of scientific reports
  • The candidates are requested to send a CV, a motivation letter, and two recommendation letters, to apply for this position.

    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.

    Instruction to apply

    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.

    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.

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