3 papers
math.NA2024
Higher Order Lipschitz Greedy Recombination Interpolation Method (HOLGRIM)
Terry Lyons, Andrew D. McLeod
In this paper we introduce the Higher Order Lipschitz Greedy Recombination Interpolation Method (HOLGRIM) for finding sparse approximations of Lip functions, in the sense of S…
math.CA2024
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 fol…
cs.LG2024
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…