We analyze discrete optimal control problems and their connection with back propagation and deep learning. We consider in particular the symmetric representation of the discrete rigid body equations developed via optimal control analysis and optimal flows on adjoint orbits
@article{arxiv.2404.06556,
title = {Symmetric Discrete Optimal Control and Deep Learning},
author = {Anthony M. Bloch and Peter E. Crouch and Tudor S. Ratiu},
journal= {arXiv preprint arXiv:2404.06556},
year = {2024}
}