3 papers
cs.CE2023
Residual-based error bound for physics-informed neural networks
Shuheng Liu, Xiyue Huang, Pavlos Protopapas
Neural networks are universal approximators and are studied for their use in solving differential equations. However, a major criticism is the lack of error bounds for obtained sol…
stat.AP2023
Multimodal N-of-1 trials: A Novel Personalized Healthcare Design
Jingjing Fu, Shuheng Liu, Siqi Du +5
N-of-1 trials aim to estimate treatment effects on the individual level and can be applied to personalize a wide range of physical and digital interventions in mHealth. In this stu…
cs.NE2022
Evaluating Error Bound for Physics-Informed Neural Networks on Linear Dynamical Systems
Shuheng Liu, Xiyue Huang, Pavlos Protopapas
There have been extensive studies on solving differential equations using physics-informed neural networks. While this method has proven advantageous in many cases, a major critici…