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Numerical linear algebra for multivariate polynomial solving

Back to the Roots Seminar Series

11 Oct 2023 - 28 May 2024

The ERC research project "Back to the roots of data-driven dynamical system identification", led by Prof. Dr. Bart De Moor (KU Leuven, ESAT-STADIUS), focuses on system identification, where mathematical models are derived from observed data generated by systems such as medical monitoring, electricity consumption and industrial processes.

Practical information:

11 Oct 2023 - 28 May 2024
34 hours
Campus Arenberg, Heverlee, Leuven
English
Target audience: researchers and academics with an interest in system theory, algebraic geometry, polynomial optimization, numerical linear algebra, system identification

Want to register?

  • Register until: 25 Jun 2024
  • Price: Gratis!
More info & registration ⇗

Georganiseerd door:

Utilizing optimization algorithms, one seeks to identify the best model in a chosen model class. This methodology finds widespread application across thousands of use cases within the AI community. However, there is no guarantee that optimization algorithms will find the best model. Present-day optimization practices are heuristic in nature, yielding results that may not be reproducible and consequently difficult to interpret.

The main objective of the Back to the Roots project is to develop a theoretical framework that combines model classes and optimization algorithms, enabling the calculation of the optimal model within the specified model class with 100% certainty.

This seminar series brings international experts to Leuven in 2023-2024.

Key themes

The seminar series is centered around the key themes of the Back to the Roots project:

  • globally optimal system identification,
  • polynomial optimization,
  • multiparameter eigenvalue problems,
  • system theory for multidimensional systems.

Past courses/events in this series

On the Christoffel function and its links with positive polynomials

25 June 2024

seminar - Leuven - KU Leuven ESAT STADIUS

Chebyshev varieties

28 May 2024

seminar - Heverlee, Leuven - KU Leuven ESAT STADIUS

Supervised machine learning with tensor network kernel machines

30 April 2024

seminar - Heverlee, Leuven - KU Leuven ESAT STADIUS

Khovanskii Bases for Semimixed Systems of Polynomial Equations

29 April 2024

seminar - Heverlee, Leuven - KU Leuven ESAT STADIUS

A new symbolic-numeric method to solve the multiparameter eigenvalue problem

21 March 2024

seminar - Heverlee, Leuven - KU Leuven ESAT STADIUS

The Moment-SOS hierarchy

20 February 2024

seminar - Heverlee, Leuven - KU Leuven ESAT STADIUS

Fast and Stable Roots of Polynomials via Companion Matrices

6 February 2024

seminar - Heverlee, Leuven - KU Leuven ESAT STADIUS

Some recent developments in multiparameter eigenvalue problems

16 November 2023

seminar - Heverlee, Leuven - KU Leuven ESAT STADIUS

Bohemian Matrices: An introduction and some open problems

11 October 2023

seminar - Heverlee, Leuven - KU Leuven ESAT STADIUS

Gibbs Manifolds

11 September 2023

seminar - Heverlee, Leuven - KU Leuven ESAT STADIUS