Seminaire des Master 5

La fédération OcciMath s’associe aux masterclasses de l’EUR MINT pour un séminaire régional présentant aux étudiants de Master les domaines de recherche en mathématiques étudiés dans la région occitanie. La cinquième  session des ces séminaires mensuels a lieu le 5 mars 2025 selon le programme suivant:

13h30 : Joseba Dalmau (INSA de Toulouse)

Title : Safe and Trustworthy AI: Challenges in Adoption for Critical Industries

Abstract :
Despite the remarkable success of AI in fields such as computer vision and natural language processing, its widespread adoption in critical industries like aviation, railways, and autonomous driving remains a significant challenge. In this talk, we will explore the key technical obstacles and challenges that hinder the deployment of AI in safety-critical applications. Additionally, we will provide an overview of the major research efforts aimed at addressing these issues and advancing AI for critical domains.

15h : Jean-Claude Yakoubsohn (IMT)

Title: Solving equations and systems of polynomial equations: a numerical approach.

Abstract:
We will explain the modern point of view on the numerical resolution of polynomial equations.
Three points will be addressed.
1- The founding principle of Smale’s alpha theory for polynomials of one variable.
2- The Weierstrass’ method for the simultaneous calculation of all roots of a polynomial.
3- Smale’s problem concerning the computation of a root of a system of polynomial equations.