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Applied and Computational Math Seminar

Machine-Learned Phase Space Discretization for the Topological Analysis of Dynamical Systems

Brittany Gelb (Rutgers University)

Location:  Hill 705
Date & time: Tuesday, 02 May 2023 at 11:00AM - 12:00PM

Conley's topological approach to dynamics provides a framework for deducing qualitative and global information about dynamics that is robust with respect to perturbations of the underlying system. Current methods for applications begin with a uniform discretization of the phase space into cubes, followed by problem-specific subdivisions if needed. At fine enough levels of resolution, the computational cost of these methods can become prohibitively expensive as dimension increases. We will introduce a machine learning approach for discretizing the phase space that aims to overcome the dimension problem. Preliminary experimental results using this method will be discussed.

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