32 citations · 147 across the 27 of their papers we have counts for
4 papers · 1 filter
Optimal Parameterizing Manifolds for Anticipating Tipping Points and Higher-order Critical Transitions
Mickaël D. Chekroun, Honghu Liu, James C. McWilliams
A general, variational approach to derive low-order reduced systems is presented. The approach is based on the concept of optimal parameterizing manifold (OPM) that substitutes the…
The High-Frequency and Rare Events Barriers to Neural Closures of Atmospheric Dynamics
Mickaël D. Chekroun, Honghu Liu, Kaushik Srinivasan +1
Recent years have seen a surge in interest for leveraging neural networks to parameterize small-scale or fast processes in climate and turbulence models. In this short paper, we po…
Galerkin-Koornwinder approximations of delay differential equations for physicists
Mickaël D. Chekroun, Honghu Liu
Formulas for Galerkin-Koornwinder (GK) approximations of delay differential equations are summarized. The functional analysis ingredients (semigroups, operators, etc.) are intentio…
Resolving Emergent Beat Patterns Through Hybrid Bayesian Learning of Multilayered Stochastic Hierarchical Delay Models
Mickaël D. Chekroun, Tom Dror, Ilan Koren +1
Modeling emergent, multiscale patterns in complex systems remains a persistent interdisciplinary challenge, particularly when deciphering transient, highly coupled dynamics from se…