The field of dynamical systems is being transformed by the mathematical tools and
algorithms emerging from modern computing and data science. First-principles derivations …

Interest in machine learning with tensor networks has been growing rapidly in recent years.
We show that tensor-based methods developed for learning the governing equations of …

Given observations of a physical system, identifying the underlying non-linear governing
equation is a fundamental task, necessary both for gaining understanding and generating …

This thesis contributes to the uniform concentration approach towards guaranteeing the
generalization of learned models. We show probabilistic bounds on various uniform …