Mathematics of decision making and statistics

Game theory, optimization, stochastic models, equilibrium, spatial scales...

The MADS (Mathématiques de la Décision et Statistique) group is one of the 9 groups of the research laboratory TSE-R (UMR 5314).

Its goal is to promote and develop research activities in mathematics applied to economics.

Topics covered include operations research, financial mathematics, statistics, econometrics, game theory, optimization, probability, calculus of variations, partial differential equations (PDEs), and mathematical models in economics, finance, and social sciences.

Activities of the group

  • seminars
  • lectures
  • workshops with PhD students
  • advanced courses

Have a look at an example of a research project (in french)

List of faculty and PhD Students

Aurore Archimbaud

TSE Associate Faculty

Assistant Professor, Toulouse Business School

Details

Louison Aubert

TSE Phd Student

Supervisor: Stéphane Villeneuve

Details

Achraf Azize

TSE Research Faculty

Assistant Professor, TSE

Details

Colombe Becquart

TSE PhD Student

Supervisors: Anne Ruiz-Gazen & Aurore Archimbaud

Details

Adrien Blanchet

TSE Research Faculty

Assistant Professor, TSE

Details

Jérôme Bolte

TSE Research Faculty

Professor, TSE

Details

Sandrine Casanova

TSE Research Faculty

Assistant Professor, TSE

Details

Julien Chhor

TSE Associate Faculty

Assistant Professor, TSE

Details

Abdelaati Daouia

TSE Research Faculty

Professor of Mathematics, TSE

Details

Jean-Paul Décamps

TSE Research Faculty

Professor of Mathematics, TSE

Details

Jingua Duan

TSE PhD Student

Supervisors: Eric Gautier & Stéphane Villeneuve

Details

Olivier Faugeras

TSE Research Faculty

Assistant Professor, TSE

Details

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List of WP, articles of the group

Spatial independent component analysis for heteroskedastic random fields

R. Morales Martinez, Klaus Nordhausen, and Anne M. Ruiz

Statistics and Probability Letters, vol. 238, n° 110858,
Details

Double Folding Test of Unimodality with an Application to Invariant Coordinate Selection

Colombe Becquart, Aurore Archimbaud, Anne M. Ruiz, and Zaineb Smida

TSE Working Paper, vol. 26-1769,
Details
Download the publication pdf | 947.68 KB

A Note on Distribution and Density Estimation as a Regression Problem of Order Statistics

Olivier Faugeras

TSE Working Paper, vol. 26-1770,
Details
Download the publication pdf | 651.51 KB

A Folk Theorem for finitely repeated games with public monitoring

Johannes Hörner, and Jérôme Renault

Journal of Economic Theory, vol. 236, n° 106227,
Details

A Continuous-Time Dynamic Contracting Problem with Limited Liability and Finite Horizon

Stéphane Villeneuve, Andrea Bovo, and Tiziano De Angelis

TSE Working Paper, vol. 26-1772,
Details
Download the publication pdf | 739.5 KB

Freidlin-Wentzell type exit-time estimates for time-inhomogeneous diffusions and their applications

Ashot Aleksian, and Stéphane Villeneuve

Stochastic Processes and their Applications, vol. 197, n° 104932,
Details
Download the publication pdf | 729.55 KB

Techniques de sondage

Camelia Goga, Hélène Juillard, Alina Matei, and Anne M. Ruiz

EDP Sciences,
Details

Fast Spawn&Prune (FS&P): Global convergence of stochastic conic particle gradient descent via birth/death process

Yohann De Castro, Sébastien Gadat, and Clément Marteau

TSE Working Paper, vol. 26-1750,
Details
Download the publication pdf | 1013.8 KB

Spatial accessibility indices in the framework of point processes. An application to veterinarian shortage

Mehdi Berrada, Zaineb Smida, and Christine Thomas-Agnan

TSE Working Paper, vol. 26-1755,
Details
Download the publication pdf | 4.05 MB

On-line Pick-Freeze Mirror algorithm for Sensitity Analysis

Manon Costa, Sébastien Gadat, Xavier Gendre, and Thierry Klein

TSE Working Paper, vol. 26-1751,
Details
Download the publication pdf | 674.71 KB

On the Sequential Convergence of Lloyd’s Algorithms

Léo Portales, Elsa Cazelles, and Edouard Pauwels

Mathematics of Operations Research, vol. 51, n° 2, , pp. 1120-1138
Details

Coherent Ratios for Compositional Data Analysis with Zeros

Olivier Faugeras

TSE Working Paper, vol. 26-1744,
Details
Download the publication pdf | 944.43 KB
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List of seminars

To be announced

  • Seminar

  • MAD-Stat. Seminar

  • Date 4 March 2027

  • Place Auditorium JJ Laffont

  • Speaker or organiser Agnes Lagnoux (Ecole Normale Supérieure - Université Paris Sciences & Lettres)

Details

To be announced

  • Seminar

  • MAD-Stat. Seminar

  • Date 3 December 2026

  • Place Auditorium JJ Laffont

  • Speaker or organiser Eleanor Archer (Université Paris-Dauphine)

Details

To be announced

  • Seminar

  • MAD-Stat. Seminar

  • Date 26 November 2026

  • Place A définir

  • Speaker or organiser Jason D. Hartline (Northwestern University)

Details

To be announced

  • Seminar

  • MAD-Stat. Seminar

  • Date 19 November 2026

  • Place A définir

  • Speaker or organiser Chiara Rosseto (Ecole polytechnique fédérale de Zurich)

Details

Boolean functions: spectral structure and relevant variables

  • Seminar

  • MAD-Stat. Seminar

  • Date 5 November 2026

  • Place a définir

  • Speaker or organiser Franck Barthe (Institut de Mathématiques de Toulouse)

Details

Convergence of the Expectation Maximization algorithm

  • Seminar

  • MAD-Stat. Seminar

  • Date 29 October 2026

  • Place Auditorium JJ Laffont

  • Speaker or organiser Dominikus Noll (Institut de Mathématiques de Toulouse)

Details

A CIR-Type Diffusion Driven by Hermite Processes: Well-Posedness, Positivity and Malliavin Analysis

  • Seminar

  • MAD-Stat. Seminar

  • Date 8 October 2026

  • Place Auditorium JJ Laffont

  • Speaker or organiser Atef Lechiheb (Toulouse School of Economics)

Details

Past

Numerical Approximation of Invariant Distributions for Stochastic Partial Differential Equations

  • Seminar

  • MAD-Stat. Seminar

  • Date 1 October 2026

  • Place Auditorium JJ Laffont

  • Speaker or organiser Charles-Edouard Brehier (Université de Pau et des Pays de l'Adour (UPPA))

Details

Past

Forcing and duality-corrected contracts for volatility control

  • Seminar

  • MAD-Stat. Seminar

  • Date 24 September 2026

  • Place Auditorium JJ Laffont

  • Speaker or organiser Emma Hubert (Université Paris-Dauphine)

Details

Past

Multiobjective ODE control - application to waste water plants

  • Seminar

  • MAD-Stat. Seminar

  • Date 17 September 2026

  • Place Auditorium JJ Laffont

  • Speaker or organiser Jérôme Fehrenbach (Institut de Mathématiques de Toulouse)

Details

Past

Token-Efficient Change Detection in LLM APIs

  • Seminar

  • MAD-Stat. Seminar

  • Date 25 June 2026

  • Place Auditorium 3

  • Speaker or organiser Clément Lalanne (Institut Mathématiques de Toulouse)

Details

Past

On the notion of mean on a metric space. The case of Wasserstein space.

  • Seminar

  • MAD-Stat. Seminar

  • Date 18 June 2026

  • Place Auditorium 5

  • Speaker or organiser Jérôme Bertrand

Details

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Contact

Stéphane Villeneuve

Group leader

Anne M. Ruiz

Group secretary

See also

Conferences and workshops

Past

Doctoral Workshop on Decision Mathematics and Statistics

  • Workshop

  • Date 4 June 2026

  • Place Auditorium 5

Details

Past

Doctoral Workshop on Decision Mathematics and Statistics

  • Workshop

  • Date 19 June 2025

  • Place Auditorium 5

Details

Past

Spring Workshop on Optimization and Machine Learning

  • Workshop

  • Date 1 April 2025

  • Place Auditorium 6

Details