## Agenda

• ### Mardi 27 février 11:00-12:00 -

Pas de Séminaire de Géométrie et Topologie

TBA

• ### Mardi 3 avril 11:00-12:00 - Genevieve Walsh

Séminaire de Géométrie et Topologie

• ### Mardi 17 avril 11:00-12:00 -

Pas de Séminaire de Géométrie et Topologie

• ### Mardi 22 mai 11:00-12:00 - Maxime Wolff

Séminaire de Géométrie et Topologie

Lieu : Salle Pellos (1R1, 207)

• ### Mardi 13 mars 14:00-15:00 - B. Toën - IMT

Espaces de modules de connexions

Résumé : On présente un énoncé de représentabilité pour le problème de modules des connexions sur une variété non-nécessairement compacte. On tente de se convaincre que l’espace des modules correspondant est muni d’une structure de Poisson (avec décalage).

TBA

TBA

TBA

TBA

TBA

TBA

A venir

• ### Mardi 22 mai 11:00-12:00 - Yann Traonmilin - Université de bordeaux

Titre et résumé à venir

• ### Mardi 29 mai 11:00-12:00 - Thomas Giletti - Institut Elie Cartan de Lorraine

TBA

Lieu : Salle MIP

• ### Mardi 5 juin 11:00-12:00 - Libre

Séminaire MIP

Lieu : Salle MIP

• ### Mardi 12 juin 11:00-12:00 - Libre

Séminaire MIP

Lieu : Salle MIP

• ### Mardi 19 juin -

Pas de séminaire pour cause de conférence

• ### Mardi 11 septembre 11:00-12:00 - Maatoug Hassine - University of Monastir

Titre et résumé à venir

Lieu : Salle MIP

• ### Mardi 25 septembre 11:00-12:00 - Enno Lenzmann - Université de Bale

Titre et résumé à venir

Lieu : Salle MIP

0 | 10

• ### Mardi 20 février 09:45-10:45 - Michal Sztrelecki - University of Warsaw

Convex log-Sobolev inequalites on the real line

Résumé : I shall explain how one can characterize those measures on the real line which satisfy the log-Sobolev inequality for convex functions (and also : how this problem is related to the theory of weak transport-entropy inequalities). As a consequence, we will be able to obtain dimension-free concentration bounds for the lower and upper tails of convex functions of independent random variables which satisfy the convex log-Sobolev inequality. The talk will be based on joint work with Yan Shu.

• ### Mardi 6 mars 09:45-10:45 - Aline Marguet - Ecole Polytechnique

Séminaire de Probabilités

• ### Mardi 13 mars 09:45-10:45 - Mathias Rousset - INRIA Rennes

Séminaire de Probabilités

• ### Mardi 20 mars 09:45-10:45 - Martin Huesmann - University of Bonn

Séminaire de Probabilités

• ### Mardi 3 avril 09:45-10:45 - Vincent Tassion - ETH Zurich

Séminaire de Probabilités

• ### Mardi 10 avril 09:45-10:45 - James Norris - University of Cambridge

Séminaire de Probabilités

• ### Mardi 15 mai 09:45-10:45 - Tony Lelievre - ENPC

Séminaire de Probabilités

Résumé : Seminaire commun avec MIP

• ### Mardi 29 mai 09:45-10:45 - Tania Kosentkova - Universitat Potsdam

Séminaire de Probabilités

Lieu : Amphi Schwartz

• ### Mardi 5 juin 09:45-10:45 - Beatrice de Tiliere - Universite Paris-Est Creteil

Séminaire de Probabilités

Lieu : Amphi Schwartz

• ### Mardi 12 juin 09:45-10:45 - Raphael Chétrite - CNRS et Université de Nice

Séminaire de Probabilités

• ### Mardi 6 mars 11:00 - Jérôme Morio - Onera Toulouse

Reliability-based sensitivity estimators of rare event probability in the presence of distribution parameter uncertainty

Résumé : This paper aims at presenting sensitivity estimators of a rare event probability in the context of uncertain distribution
parameters (which are often not known precisely or poorly estimated due to limited data). Since the distribution parameters
are also affected by uncertainties, a possible solution consists in considering a second probabilistic uncertainty level. Then,
by propagating this bi-level uncertainty, the failure probability becomes a random variable and one can use the mean
estimator of the distribution of the failure probabilities (i.e. the “predictive failure probability”, PFP) as a new measure of
safety. In this paper, the use of an augmented framework (composed of both basic variables and their probability distribution
parameters) coupled with an Adaptive Importance Sampling strategy is proposed to get an efficient estimation strategy of the
PFP. Consequently, double-loop procedure is avoided and the computational cost is decreased. Thus, sensitivity estimators
of the PFP are derived with respect to some deterministic hyper-parameters parametrizing a priori modeling choice.

Lieu : Salle 106, Bat 1R1

• ### Mardi 13 mars 11:00-12:00 - Fabrice Gamboa - IMT

Approximate Optimal Designs for Multivariate Polynomial Regression

Résumé : We introduce a new approach aiming at computing approximate optimal designs for multivariate polynomial regressions on compact (semi-algebraic) design spaces. We use the moment-sum-of-squares hierarchy of semidefinite programming problems to solve numerically the approximate optimal design problem. The geometry of the design is recovered via semidefinite programming duality theory. This work shows that the hierarchy converges to the approximate optimal design as the order of the hierarchy increases. Furthermore, we provide a dual certificate ensuring finite convergence of the hierarchy and showing that the approximate optimal design can be computed numerically with our method. As a byproduct, we revisit the equivalence theorem of the experimental design theory : it is linked to the Christoffel polynomial and it characterizes finite convergence of the moment-sum-of-square hierarchies.

Lieu : Salle 106 1R1

• ### Mardi 27 mars 11:00-12:00 - Guillaume Lecué - CREST

Robust machine learning by median-of-means : theory and practice

Résumé : We introduce new estimators of least-squares minimizers based on median-of-means (MOM) estimators of the mean of real valued random variables. These estimators achieve optimal rates of convergence under minimal assumptions on the dataset. The dataset may also have been corrupted by outliers on which no assumption is granted. We also analyze these new estimators with standard tools from robust statistics. In particular, we revisit the concept of breakdown point. We modify the original definition by studying the number of outliers that a dataset can contain without deteriorating the estimation properties of a given estimator. This new notion of breakdown number, that takes into account the statistical performances of the estimators, is non-asymptotic in nature and adapted for machine learning purposes. We proved that the breakdown number of our estimator is of the order of (number of observations) * (rate of convergence). For instance, the breakdown number of our estimators for the problem of estimation of a d-dimensional vector with a noise variance sigma^2 is sigma^2d and it becomes sigma^2 s \log(ed/s) when this vector has only s non-zero component. Beyond this breakdown point, we proved that the rate of convergence achieved by our estimator is (number of outliers divided by (number of observations).
Besides these theoretical guarantees, the major improvement brought by these new estimators is that they are easily computable in practice and are therefore well suited for robust machine learning. In fact, basically any algorithm used to approximate the standard Empirical Risk Minimizer (or its regularized versions) has a robust version approximating our estimators. On top of being robust to outliers, the MOM version" of the algorithms are even faster than the original ones, less demanding in memory resources in some situations and well adapted for distributed datasets which makes it particularly attractive for large dataset analysis. As a proof of concept, we study many algorithms for the classical LASSO estimator. It turns out that a first version of our algorithm can be improved a lot in practice by randomizing the blocks on which local means" are computed at each step of the descent algorithm. A byproduct of this modification is that our algorithms come with a measure of depth of data that can be used to detect outliers, which is another major issue in Machine learning.

Lieu : Salle 106 1R1

• ### Vendredi 23 février 10:30-11:30 - Nguyen Tien Zung - IMT

Une approche conceptuelle au problème de variables action-angle

Résumé : Je vais expliquer une "nouvelle sorte de lois de conservation"
à partir de laquelle on obtient facilement les variables action-angle
pour les systèmes intégrables classiques, mais aussi d’autres formes
normales intéressantes pour d’autres types de systèmes dynamiques.
(e.g., systèmes sur les variétés de Dirac, système aux voisinages de
singularités, systèmes stochastiques, etc.)
Cet exposé est basé sur l’article arXiv:1706.08859
(43 pages, Archive for Rational Mechanics and Analysis 2018)

Lieu : salle 207, bat 1R2

• ### Vendredi 16 mars 10:30-11:30 - Cristobal Rojas - Universidad Andrés Bello, Santiago, Chile

A préciser

Lieu : salle 207, bat 1R2

• ### Vendredi 30 mars 10:30-11:30 - Beatriz Molina - Université de Valladolid

A préciser

Lieu : salle 207, bat 1R2

• ### Vendredi 13 avril 10:30-11:30 - Valente Ramirez - Cornell University

The spectra of singularities of quadratic vector fields

Résumé : Consider a polynomial vector field of degree $n \geq 2$ on $C^2$. In the generic case, it has $n^2$ isolated singularities, and the holomorphic foliation it defines on $P^2$ has an invariant line at infinity with $n+1$ singular points.

Lieu : salle 207, bat 1R2

• ### Vendredi 15 juin 10:30-11:30 - Loic Teyssier - IRMA, Strasbourg

A préciser

Lieu : salle 207, bat 1R2

• ### Jeudi 22 février 14:30-15:30 - Antoine Wystrach - CRCA (Toulouse)

The emergence of navigational behaviour in insects

Résumé : Navigation requires the coordination between different type of actions
(e.g., choosing a direction, going forward etc…), and the control
mechanisms that ‘triggers’ these actions is often characterised as decision
making. Here we will see that distinct behaviour can spontaneously emerge
from simple, continuous processes without the need to ‘trigger’ or ‘select’
actions. We will see that such non-reducible, distributed processes
emerging from the interaction between brain, body and environment can
provide robust and generalist solutions to various and apparently different

TBA

TBA

TBA

TBA

TBA

• ### Jeudi 31 mai 14:30-15:30 - Clément Sire - LPT, IRSAMC

(Measuring) Social Interactions and (Studying) Collective States in Fish Schools

Résumé : The flexible coordination of individuals’ movements ensures rapid and coherent changes in direction of travel of fish schools for instance as a reaction to a predator detected in the neighborhood. However the ’microscopic level’ interaction rules involved in the coordination of fish movements and the adapted collective response of a school still remain to a large extent unknown. Knowing such interaction rules could offer new sources of inspiration to design distributed control algorithms for swarms of drones. Here we present a systematic methodology to measure and analyze social interactions controlling the collective motion of animal groups. Contrary to classical forces between physical objects, social interactions between individuals explicitly depend on their relative headings and are affected by their anisotropic and asymmetric perception of their environment. Hence they strongly break the Newtonian’s law of action-reaction. When applied to fish groups, this approach leads to the quantitative measurement of the spontaneous behavior of a fish, of its avoidance interaction with the tank walls, and of its attraction and alignment interaction with another fish. We use the results of this analysis to build an explicit and faithful model that convincingly reproduces quantitative and qualitative features of the actual fish dynamics. We also show that the type of models derived from such analysis reproduces the main collective states observed in actual fish schools, when one varies the intensity of the alignment and attraction interactions between fish.

• ### Jeudi 14 juin 14:30-15:30 - Philippe Saint-Pierre - IMT

TBA

Notes de dernières minutes : Attention, changement de salle : salle 106 1er étage bat 1R1

TBA

• ### Vendredi 25 mai - TBA

Journée Pluripotentielle

TBA
0 | 10

• ### Jeudi 3 mai 12:30-13:30 - Fabien Panloup - LAREMA, Université d'Angers

TBA

Lieu : Room 106, building 1R1, UPS.

• ### Mardi 6 mars 14:00-15:00 - Leyth Akrout - IMT

Homologie de Hochschild 1

• ### Mardi 13 mars 15:30-16:30 - Leyth Akrout - IMT

Homologie de Hochschild 2

• ### Mardi 20 mars 14:00-15:00 - Massimo Pippi - IMT

Théorème HKR 1

• ### Mardi 27 mars 15:30-16:30 - Massimo Pippi - IMT

Théorème HKR 2

• ### Vendredi 30 mars 14:00-15:00 - Alain Joye - Grenoble

Marches quantiques aléatoires et déterministes

Lieu : Amphi Schwartz - bat. 1R3

Notes de dernières minutes : https://www.math.univ-toulouse.fr/spip.php?article502