Data-driven discovery of intrinsic dynamics. (arXiv:2108.05928v2 [cs.LG] UPDATED)

Dynamical models underpin our ability to understand and predict the behavior
of natural systems. Whether dynamical models are developed from
first-principles derivations or from observational data, they are predicated on
our choice of state variables. The choice of state variables is driven by
convenience and intuition, and in the data-driven case the observed variables
are often chosen to be the state variables. The dimensionality of these
variables (and consequently the dynamical models) can be arbitrarily large,
obscuring the underlying behavior …

arxiv data data-driven discovery dynamics lg