PhD (M/F) - Theory and methodology of majorisation-minimisation (MM)

New

Institut de Recherche en Informatique de Toulouse

TOULOUSE • Haute-Garonne

  • FTC PhD student / Offer for thesis
  • 36 month
  • Doctorate

This offer is available in English version

This offer is open to people with a document recognizing their status as a disabled worker.

Offer at a glance

The Unit

Institut de Recherche en Informatique de Toulouse

Contract Type

FTC PhD student / Offer for thesis

Working hHours

Full Time

Workplace

31071 TOULOUSE

Contract Duration

36 month

Date of Hire

01/10/2026

Remuneration

2300 € gross monthly

Apply Application Deadline : 22 July 2026 23:59

Job Description

Thesis Subject

The objective of the PhD project is to advance the theory and methodology of majorisation-minimisation (MM), with a focus on problems from signal/image processing or machine learning. MM consists in iteratively building and minimising a locally tight upper bound of the loss function. In other words, it resorts to the iterative optimisation of a local approximation. This is an intuitive and yet powerful optimisation framework that does not require stringent assumptions. MM algorithms decrease the value of the loss at every iteration and well-designed upper bounds can finely capture the local curvature of the loss, resulting in efficient updates. Though MM can be traced back to the 1970s, it has enjoyed a significant revival in the last years. It subsumes well-known algorithms such as (Bregman) proximal gradient methods, Expectation-Maximisation (EM) or the Concave-Convex Procedure (CCP).
A more precise research program will be defined in accordance with the successful candidate.
Topics of interest include: acceleration of MM algorithms, convergence of MM, generalised MM, unrolled MM.
Problems of interest include: inverse problems, optimal transport, matrix factorisation.

Your Work Environment

The successful candidate will join the Institut de Recherche en Informatique de Toulouse (IRIT), a joint laboratory of CNRS and Toulouse universities & engineering schools (ENSEEIHT campus). The position is funded by Toulouse AI institute ANITI (AMINA chair).

Compensation and benefits

Compensation

2300 € gross monthly

Annual leave and RTT

44 jours

Remote Working practice and compensation

Pratique et indemnisation du TT

Transport

Prise en charge à 75% du coût et forfait mobilité durable jusqu’à 300€

About the offer

Offer reference UMR5505-CHLBOU-109
CN Section(s) / Research Area Information sciences: bases of information technology, calculations, algorithms, representations, uses

About the CNRS

The CNRS is a major player in fundamental research on a global scale. The CNRS is the only French organization active in all scientific fields. Its unique position as a multi-specialist allows it to bring together different disciplines to address the most important challenges of the contemporary world, in connection with the actors of change.

CNRS

The research professions

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PhD (M/F) - Theory and methodology of majorisation-minimisation (MM)

FTC PhD student / Offer for thesis • 36 month • Doctorate • TOULOUSE

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