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 WP, articles of the group

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

TSE Working Paper, vol. 25-1612,

Log-Free Distance and Covariance Matrix for Compositional Data II: the Projective/Exterior Product Approach

Austrian Journal of Statistics, vol. 54, n° 5, , pp. 121–159

ICS for multivariate functional anomaly detection with applications to predictive maintenance and quality control

Aurore Archimbaud, Fériel Boulfani, Xavier Gendre, Klaus Nordhausen, Anne M. Ruiz, and Joni Virta

Econometrics and Statistics, vol. 33, , pp. 282-303

Large language models (LLMs) as agents for augmented democracy

Jairo F. Gudino, Umberto Grandi, and César Hidalgo

Philosophical Transactions of the Royal Society A, vol. 382, n° 2285,

Log-Free Distance and Covariance Matrix for Compositional Data II: the Projective/Exterior Product Approach

TSE Working Paper, vol. 24-1601, ,

On the nature of Bregman functions

Operations Research Letters, vol. 57, n° 107183,

The Iterates of the Frank–Wolfe Algorithm May Not Converge

Jérôme Bolte, Cyrille Combettes, and Edouard Pauwels

Mathematics of Operations Research, vol. 49, n° 4, , pp. 2049-2802

A Stochastic Non-Zero-Sum Game of Controlling the Debt-to-GDP Ratio

Felix Dammann, Néofytos Rodosthenous, and Stéphane Villeneuve

TSE Working Paper, vol. 24-1481,

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

TSE Working Paper, vol. 24-1580, ,

A Stochastic Non-Zero-Sum Game of Controlling the Debt-to-GDP Ratio

Felix Dammann, Néofytos Rodosthenous, and Stéphane Villeneuve

Applied Mathematics & Optimization, vol. 90, n° 52,

A Hotelling spatial scan statistic for functional data: application to economic and climate data

Zaineb Smida, Thibault Laurent, and Lionel Cucala

TSE Working Paper, vol. 24-1583,

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

TSE Working Paper, vol. 24-1585, ,

List of seminars

Past

Hömander Properties of Discrete Time Markov Processes

  • Seminar

  • MAD-Stat. Seminar

  • Date 13 June 2024

  • Place Auditorium 5

  • Speaker or organiser Clément Rey

Details

Past

Graphical lasso for extremes

  • Seminar

  • MAD-Stat. Seminar

  • Date 30 May 2024

  • Place Auditorium 5

  • Speaker or organiser Zhou Chen

Details

Past

On fraudulent stochastic algorithms

  • Seminar

  • MAD-Stat. Seminar

  • Date 23 May 2024

  • Place Auditorium 5

  • Speaker or organiser Laurent Miclo

Details

Past

Copula Based Cox Proportional Hazards Models for Dependent Censoring

  • Seminar

  • MAD-Stat. Seminar

  • Date 16 May 2024

  • Place Auditorium 5

  • Speaker or organiser Ingrid Van Keilegom

Details

Past

Machine learning beyond the data range: an extreme value perspective

  • Seminar

  • MAD-Stat. Seminar

  • Date 2 May 2024

  • Place Auditorium 5

  • Speaker or organiser Sebastian Engelke

Details

Past

Abide by the Law and Follow the Flow: Conservation Laws for Gradient Flows

  • Seminar

  • MAD-Stat. Seminar

  • Date 25 April 2024

  • Place Auditorium 3 - JJ Laffont

  • Speaker or organiser Gabriel Peyré

Details

Past

Stochastic subgradient descent on weakly convex functions escapes active strict saddles

  • Seminar

  • MAD-Stat. Seminar

  • Date 18 April 2024

  • Place Auditorium 3 - JJ Laffont

  • Speaker or organiser Sholom Schechtman

Details

Past

Quantitative Stability of the Pushforward Operation by an Optimal Transport Map

  • Seminar

  • MAD-Stat. Seminar

  • Date 4 April 2024

  • Place Salle 1 - level -1

  • Speaker or organiser Guillaume Carlier

Details

Past

Online Matching in Geometric Random Graphs

  • Seminar

  • MAD-Stat. Seminar

  • Date 21 March 2024

  • Place Auditorium 3 - JJ Laffont

  • Speaker or organiser Flore Sentenac

Details

Past

A novel notion of barycenter for probability distributions based on optimal weak mass transport

  • Seminar

  • MAD-Stat. Seminar

  • Date 14 March 2024

  • Place Auditorium 3 - JJ Laffont

  • Speaker or organiser Elsa Cazelles

Details

Past

Two Optimal Transportation approaches to measuring Risk.

  • Seminar

  • MAD-Stat. Seminar

  • Date 7 March 2024

  • Place Auditorium 3 - JJ Laffont

  • Speaker or organiser Olivier Faugeras

Details

Past

An efficient approach for statistical matching of survey data through calibration, optimal transport and balanced sampling

  • Seminar

  • MAD-Stat. Seminar

  • Date 15 December 2023

  • Place Auditorium 3 - JJ Laffont

  • Speaker or organiser Yves Tillé

Details

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