Konstantin Mischaikow, professor at Rutgers University, is visitig the TUM with support of the MDSI Visiting Researchers Program. His hosts Prof. Ulrich Bauer and Prof. Oliver Junge and the MDSI would like to invite you to his talk on:

“Identifying Dynamics with Sparse Data”

Time: September 23, 2024 at 4 pm

Location: MDSI premises

It goes without saying that the ubiquity of “large” data is changing how science and engineering is done. The reason for putting large in quotation marks is that for a reasonable understanding of high dimensional or complex problems straight forward methods of data analysis and model identification might require really large data sets. This is especially true in the setting of nonlinear dynamics. 
Bifurcation theory tells us that small changes in parameters can lead to dramatic changes in the global behavior of dynamics, e.g., tipping points. Unstable dynamic behavior, e.g., chaotic dynamics, is characterized by small changes in initial conditions leading to large changes in long term behavior. Thus, it is essential to develop techniques that economize the use of data.

Prof. Mischaikow will discuss how statistical methods based on Gaussian processes combined with algebraic topological methods can be used to provide accurate descriptions of dynamics with probabilistic guarantees even in the setting of sparse data. The goal is to explain the concepts of this novel approach using low dimensional examples and extremely sparse data. 
The talk will not assume prior knowledge concerning Gaussian processes or algebraic topology.

 

Konstantin Mischaikow is a professor at Rutgers University, specializing in applied mathematics with a focus on topological dynamics and computational homology. His research primarily involves developing topological methods for analyzing complex dynamical systems, particularly using Conley Index Theory. He also applies his work to fields like mathematical biology. 
Mischaikow earned his PhD from the University of Wisconsin-Madison in 1985 and held positions at several renowned universities before moving to Rutgers in 2006.