4 papers
Curvature-Guided Safety Filters: State-Dependent Hessian-Weighted Projection with Provable Performance Bounds
Ziyan Lin, Liang Xu
Safety filters provide a lightweight mechanism for enforcing state and input safety in learning-enabled control. However, common Euclidean projections onto the safe set disregard l…
Robust Convolution Neural ODEs via Contractivity-promoting regularization
Muhammad Zakwan, Liang Xu, Giancarlo Ferrari-Trecate
Neural networks can be fragile to input noise and adversarial attacks. In this work, we consider Convolutional Neural Ordinary Differential Equations (NODEs), a family of continuou…
Hybrid Physics-ML Modeling for Marine Vehicle Maneuvering Motions in the Presence of Environmental Disturbances
Zihao Wang, Jian Cheng, Liang Xu +2
A hybrid physics-machine learning modeling framework is proposed for the surface vehicles' maneuvering motions to address the modeling capability and stability in the presence of e…
A total curvature estimate of closed hypersurfaces in non-positively curved symmetric spaces
Jiangtao Li, Zuo Lin, Liang Xu
In this paper, we prove a total curvature estimate of closed hypersurfaces in simply-connected non-positively curved symmetric spaces, and as a corollary, we obtain an isoperimetri…