3 papers
math.DS2023
Koopman Learning with Episodic Memory
William T. Redman, Dean Huang, Maria Fonoberova +1
Koopman operator theory has found significant success in learning models of complex, real-world dynamical systems, enabling prediction and control. The greater interpretability and…
math.NA2023
On Higher Order Drift and Diffusion Estimates for Stochastic SINDy
Mathias Wanner, Igor Mezić
The Sparse Identification of Nonlinear Dynamics (SINDy) algorithm can be applied to stochastic differential equations to estimate the drift and the diffusion function using data fr…
cs.LG2023
Identifying Equivalent Training Dynamics
William T. Redman, Juan M. Bello-Rivas, Maria Fonoberova +3
Study of the nonlinear evolution deep neural network (DNN) parameters undergo during training has uncovered regimes of distinct dynamical behavior. While a detailed understanding o…