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

Claire Lebrun

TSE-University of Liverpool PhD Student

Supervisors: Abdelaati Daouia, Abderrahim Taamouti and Mohamed Doukali

Details

Atef Lechiheb

Post-Docs, Engineers and Assistants

Temporary teaching and research assistant

Details

Eve Leconte

TSE Research Faculty

Assistant Professor, TSE

Details

Jean-Michel Loubes

TSE Associate Faculty

Research Director, INRIA

Details

Gaurav Mahajan

TSE Associate Faculty

Postdoctoral Fellow, Yale

Details

Solal Martin

TSE PhD Student

Supervisors: Jérôme Bolte, Jui Shang-Ling, and Francisco Silva

Details

Camille Mondon

TSE Research Faculty

Researcher

Details

Minh Hai Nguyen

TSE-IRIT PhD Student

Supervisor: Edouard Pauwels

Details

Wenqing Ouyang

Post-Docs, Engineers and Assistants

Postdoctoral Fellow, TSE

Details

Davy Paindaveine

TSE Associate Faculty

Professor of Statistics and Mathematics, University Libre de Bruxelles

Details

Edouard Pauwels

TSE Research Faculty

Professor, TSE

Details

Olivier Perrin

TSE Research Faculty

Assistant Professor, Toulouse Capitole University

Details

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List of WP, articles of the group

Controlled Swarm Gradient Dynamics

Louison Aubert

TSE Working Paper, vol. 26-1725,
Details
Download the publication pdf | 7.94 MB

Extreme value inference for heterogeneous heavy-tailed data: A derandomization theory

Abdelaati Daouia, Joseph Hachem, and Gilles Stupfler

TSE Working Paper, vol. 26-1727,
Details
Download the publication pdf | 4.02 MB

Scalar-on-Distribution Regression for Assessing the Impact of Climate Change on Rice Yield in Vietnam

Thi-Huong Trinh, Christine Thomas-Agnan, and Michel Simioni

Journal of Agricultural, Biological and Environmental Statistics,
Details

Accounting for the full distribution of temperature to predict international migration

Evangelina Dardati, Thibault Laurent, Paula Margaretic, Ean Paredes, and Christine Thomas-Agnan

TSE Working Paper, vol. 26-1728,
Details
Download the publication pdf | 2.1 MB

The Stick-Breaking and Ordering Representations of Compositional Data: Copulas and Regression models

Olivier Faugeras

Austrian Journal of Statistics, vol. 55, n° 1, , pp. 1-31
Details
Download the publication pdf | 1.4 MB

Log-Free Divergence and Covariance matrix for Compositional Data I: The Affine/Barycentric Approach

Olivier Faugeras

Austrian Journal of Statistics, vol. 55, n° 2, , pp. 105-152
Details
Download the publication pdf | 1.84 MB

ICS for complex data with application to outlier detection for density data

Camille Mondon, Thi-Huong Trinh, Anne M. Ruiz, and Christine Thomas-Agnan

Journal of Multivariate Analysis, vol. 211, n° 105522,
Details

Inexact subgradient methods for semialgebraic functions

Jérôme Bolte, Tam Le, Eric Moulines, and Edouard Pauwels

Mathematical Programming, 2026, forthcoming
Details

Invariant Coordinate Selection and Fisher discriminant subspace beyond the case of two group

Colombe Becquart, Aurore Archimbaud, Anne M. Ruiz, Luka Prilc, and Klaus Nordhausen

Journal of Multivariate Analysis, vol. 211, n° 105521,
Details

How do upstream competition and supply shocks affect investment decisions?

Benoît Chevalier-Roignant, and Stéphane Villeneuve

TSE Working Paper, vol. 26-1702,
Details
Download the publication pdf | 654.55 KB

Geometric and computational hardness of bilevel programming

Jérôme Bolte, Edouard Pauwels, and Quoc Tung Le

Mathematical Programming, vol. 215, , pp. 539–574
Details

Well-Posedness of McKean-Vlasov SDEs with Density-Dependent Drift

Anh-Dung Le, and Stéphane Villeneuve

Stochastics and Dynamics, 2026, forthcoming
Details
Download the publication pdf | 571.26 KB
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List of seminars

Past

Statistique et Elections

  • Seminar

  • MAD-Stat. Seminar

  • Date 19 March 2026

  • Place Auditorium 3

  • Speaker or organiser Jean Baptiste Aubin

Détails

Past

A study of the long-run behavior of stochastic gradient descent via large deviations

  • Seminar

  • MAD-Stat. Seminar

  • Date 12 March 2026

  • Place Auditorium 3

  • Speaker or organiser Franck Iutzeler

Détails

Past

Efficient Concentration with Gaussian Approximation

  • Seminar

  • MAD-Stat. Seminar

  • Date 8 January 2026

  • Place Auditorium 6

  • Speaker or organiser Morgane Austern

Détails

Past

An ODE characterization of (entropic) semi-discret optimal transport

  • Seminar

  • MAD-Stat. Seminar

  • Date 4 December 2025

  • Place Auditorium 5

  • Speaker or organiser Luca Nenna

Détails

Past

Stochastic implicit algorithms

  • Seminar

  • MAD-Stat. Seminar

  • Date 20 November 2025

  • Place Auditorium 3

  • Speaker or organiser Cheik Traore

Détails

Past

Asymptotic Properties of Empirical-Quantile Based Estimator

  • Seminar

  • MAD-Stat. Seminar

  • Date 13 November 2025

  • Place Auditorium 6

  • Speaker or organiser Martin Mugnier

Détails

Past

Class conditional conformal prediction for multiple inputs by p-value aggregation

  • Seminar

  • MAD-Stat. Seminar

  • Date 6 November 2025

  • Place Auditorium 3

  • Speaker or organiser Jean Baptiste Fermanian

Détails

Past

Explainable anomaly detection using data depth

  • Seminar

  • MAD-Stat. Seminar

  • Date 16 October 2025

  • Place Auditorium 4

  • Speaker or organiser Pavlo Mozharovzkyi

Détails

Past

On the Foundations of Dynamic Games and Probability: Decision Making in Stochastic Extensive Form

  • Seminar

  • MAD-Stat. Seminar

  • Date 2 October 2025

  • Place Auditorium 3

  • Speaker or organiser Emanuel Rapsch

Détails

Past

A flow for every c(x,y) cost: the hidden geometry of optimization algorithms

  • Seminar

  • MAD-Stat. Seminar

  • Date 25 September 2025

  • Place Auditorium 3

  • Speaker or organiser Pierre Cyril Aubin

Détails

Past

Clusterpath Gaussian Graphical Modeling

  • Seminar

  • MAD-Stat. Seminar

  • Date 18 September 2025

  • Place Auditorium 3

  • Speaker or organiser Andreas Alfons

Détails

Past

Convergence/divergence phenomena in the vanishing discount limit of Hamilton-Jacobi equations

  • Seminar

  • MAD-Stat. Seminar

  • Date 11 September 2025

  • Place Auditorium 5

  • Speaker or organiser Andrea Davini

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