2 papers
cs.LG2025
Log Neural Controlled Differential Equations: The Lie Brackets Make a Difference
Benjamin Walker, Andrew D. McLeod, Tiexin Qin +3
The vector field of a controlled differential equation (CDE) describes the relationship between a control path and the evolution of a solution path. Neural CDEs (NCDEs) treat time…
math.CA2025
Higher Order Lipschitz Sandwich Theorems
Terry Lyons, Andrew D. McLeod
We investigate the consequence of two Lip functions, in the sense of Stein, being close throughout a subset of their domain. A particular consequence of our results is the fo…