Applied & Computational Mathematics seminar: Bracket-based dynamics for data-driven surrogate modeling and SciML

Speaker: Anthony Gruber, Sandia National Labs

Title:  Bracket-based dynamics for data-driven surrogate modeling and SciML

Abstract:  Many significant dynamical systems, including Hamiltonian (energy-conserving) and metriplectic (entropy-producing) systems, are governed by algebraic brackets with key structural properties. When creating scientific machine learning (SciML) surrogates for these dynamics, it is crucial to design the learning problem to ensure that the learned system adheres to these fundamental properties, which dictate system behavior. This talk presents recent advancements in achieving this goal within the context of model reduction, from both 'top-down' and 'bottom-up' perspectives. We demonstrate how preserving bracket-based structure in reduced-order surrogates enhances stability, simplifies training, and yields more realistic results at prediction time.

Time:  Friday, March 28 – 10:00am – 11:00am

Place:  Exploratory Hall, room 4106