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

Tandem clustering with invariant coordinate selection

Andreas Alfons, Aurore Archimbaud, Klaus Nordhausen, and Anne M. Ruiz

Econometrics and Statistics, , pp. 126-152
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

Stationary Subspace Analysis for Spatial Data

Perttu Saarela, Klaus Nordhausen, Anne M. Ruiz, and Jaakko Pere

Environmetrics, vol. 37, n° 6 (e70146),
Details

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
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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)

Détails

Convergence Rates for Distribution Matching with Sliced Optimal Transport

  • Seminar

  • MAD-Stat. Seminar

  • Date 10 December 2026

  • Place Auditorium 6

  • Speaker or organiser Gauthier Louis Thurin (Université de Bordeaux)

Détails

Limits of uniform spanning trees and forests

  • Seminar

  • MAD-Stat. Seminar

  • Date 3 December 2026

  • Place Auditorium JJ Laffont

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

Détails

To be announced

  • Seminar

  • MAD-Stat. Seminar

  • Date 26 November 2026

  • Place A définir

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

Détails

Optimal incentives under mean-variance preferences

  • Seminar

  • MAD-Stat. Seminar

  • Date 19 November 2026

  • Place Auditorium 6

  • Speaker or organiser Chiara Rossato (Imperial College, London)

Détails

To be announced

  • Seminar

  • MAD-Stat. Seminar

  • Date 12 November 2026

  • Place "SALLE ATELIER" - Ground Floor

  • Speaker or organiser Fanch Coudreuse (Ecole Normale Superieure de Lyon)

Détails

Boolean functions: spectral structure and relevant variables

  • Seminar

  • MAD-Stat. Seminar

  • Date 5 November 2026

  • Place Auditorium 6

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

Détails

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)

Détails

Past

Continuous Selections of Nash ε-Equilibria: What Does Continuity Cost?

  • Seminar

  • MAD-Stat. Seminar

  • Date 15 October 2026

  • Place Auditorium JJ Laffont

  • Speaker or organiser Abraham Neyman (The Hebrew University of Jerusalem)

Détails

Past

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)

Détails

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))

Détails

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)

Détails

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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

Détails

Past

Doctoral Workshop on Decision Mathematics and Statistics

  • Workshop

  • Date 19 June 2025

  • Place Auditorium 5

Détails

Past

Spring Workshop on Optimization and Machine Learning

  • Workshop

  • Date 1 April 2025

  • Place Auditorium 6

Détails