Date : Vendredi 7 février 2025
Heure : 10h30
Salle : 6214, pavillon André-Aisenstadt

Conférencière: Julia Lindberg, Postdoctoral Instructor in the Department of Mathematics at the University of Texas at Austin,

Titre : Leveraging algebraic structures for innovations in data science and complex systems,

Résumé : Applied algebraic geometry is a subfield of applied mathematics that utilizes concepts, tools, and techniques from algebraic geometry to solve problems in various applied sciences. It blends tools from algebraic geometry, optimization, and statistics to develop certifiable computational algebraic methods to address modern engineeering challenges.

In this talk, I will showcase the power of these methods in solving problems related to Gaussian mixture models (GMMs). In the first part of the talk I will discuss a statistical technique for parameter recovery called the method of moments. I will discuss how to leverage algebraic techniques to design scalable and certifiable moment-based methods for parameter recovery of GMMs. In the second part of this talk, I will discuss recent work relating to Gaussian Voronoi cells. This work introduces new geometric perspectives with implications for high-dimensional data analysis. I will also touch on how these methods complement my broader research in polynomial optimization and power systems engineering.

Voici les informations de la présentation de 30 minutes sur l’enseignement au 1er cycle :

Date : Vendredi 7 février 2025
Heure : 13h45
Salle : 6214, pavillon André-Aisenstadt