Fall 2024 Colloquium Schedule

Colloquia are the first Thursday of every month at 3:35 p.m. in the

September 12 鈥� "No Equations, No Variables, No Space and No Time: Data and the Modeling of Complex Systems"

Presenter: Ioannis Kevrekidis, Bloomberg Distinguished Professor, Department of Applied Mathematics and Statistics, Johns Hopkins Whiting School of Engineering
Abstract:听I will give an overview of a research path in data driven modeling of complex systems over the last 30 or so years 鈥� from the early days of shallow neural networks and autoencoders for nonlinear dynamical system identification, to the more recent derivation of data driven 鈥渆mergent鈥� spaces in which to better learn generative PDE laws. In all illustrations presented, I will try to point out connections between the 鈥渢raditional鈥� numerical analysis we know and love, and the more modern data-driven tools and techniques we now have 鈥� and some mathematical questions they hopefully make possible for us to answer.
Seminar Article Link,

Presenter: Nick Trefethen, Professor of Applied Mathematics in Residence, Harvard University
Abstract:听With the introduction of the AAA algorithm in 2018 (Nakatsukasa-Sete-T., SISC), the computation of rational approximations changed from a hard problem to an easy one. We've been exploring the implications of this transformation ever since.听 This talk will review the algorithm and then present about 15 demonstrations of applications in various areas including interpolation of missing data, analytic continuation, analysis of solutions of dynamical systems, Wiener-Hopf and Riemann-Hilbert problems, function extension, model order reduction, and Laplace, Stokes, and Helmholtz calculations.
Seminar Article Link,

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