Operator-Learning-Inspired Modeling of Neural Ordinary Differential Equations

W Cho, S Cho, H Jin, J Jeon, K Lee, S Hong… - Proceedings of the …, 2024 - ojs.aaai.org
Neural ordinary differential equations (NODEs), one of the most influential works of the
differential equation-based deep learning, are to continuously generalize residual networks …

PIDNODEs: Neural ordinary differential equations inspired by a proportional–integral–derivative controller

P Wang, S Chen, J Liu, S Cai, C Xu - Neurocomputing, 2025 - Elsevier
Abstract Neural Ordinary Differential Equations (NODEs) are a novel family of infinite-depth
neural-net models through solving ODEs and their adjoint equations. In this paper, we …

Understanding and Mitigating Membership Inference Risks of Neural Ordinary Differential Equations

S Hong, F Wu, A Gruber, K Lee - arXiv preprint arXiv:2501.06686, 2025 - arxiv.org
Neural ordinary differential equations (NODEs) are an emerging paradigm in scientific
computing for modeling dynamical systems. By accurately learning underlying dynamics in …

[图书][B] Towards Faster and More Accurate Neural ODEs

H Xia - 2023 - search.proquest.com
Abstract Neural Ordinary Differential Equations (NODEs) have improved accuracy and
memory efficiency over general deep neural networks but suffer from the vanishing gradient …

When Neural ODEs meet Neural Operators

W Cho, S Cho, H Jin, J Jeon, K Lee, S Hong, D Lee… - openreview.net
Differential equation-based neural networks perform well in a variety of deep learning fields.
Among those many methods, neural ordinary differential equations (NODEs) are one of the …