Roto-translated Local Coordinate Frames For Interacting Dynamical Systems

arXiv:2110.14961v3 Announce Type: replace
Abstract: Modelling interactions is critical in learning complex dynamical systems, namely systems of interacting objects with highly non-linear and time-dependent behaviour. A large class of such systems can be formalized as $\textit{geometric graphs}$, $\textit{i.e.}$, graphs with nodes positioned in the Euclidean space given an $\textit{arbitrarily}$ chosen global coordinate system, for instance vehicles in a traffic scene. Notwithstanding the arbitrary global coordinate system, the governing dynamics of the respective dynamical systems are invariant to rotations and translations, …

abstract arxiv class cs.lg global graphs interactions linear modelling nodes non-linear objects space stat.ml systems translated type