Study on Stability of Vehicle Mass Analysis System. - Wei Shi; Shusheng Xiong; Chaoshan Zhang; Yaohua Jiang; Wei Li; Xijiang Wu; Xiaoshuai Ren; Wenhua He; Kailai Xu; Ji Zhou (ISIA, 2010)

Calibrating Lévy Process from Observations Based on Neural Networks and Automatic Differentiation with Convergence Proofs. - Kailai Xu; Eric Darve (CoRR, 2018)

Adversarial Numerical Analysis for Inverse Problems. - Kailai Xu; Eric Darve (CoRR, 2019)

Learning Hidden Dynamics using Intelligent Automatic Differentiation. - Kailai Xu; Dongzhuo Li; Eric Darve; Jerry M. Harris (CoRR, 2019)

Data-Driven Inverse Modeling with Incomplete Observations. - Kailai Xu; Eric Darve (AAAI Spring Symposium: MLPS, 2020)

Calibrating Multivariate Lévy Processes with Neural Networks. - Kailai Xu; Eric Darve (MSML, 2020)

Inverse Modeling of Viscoelasticity Materials using Physics Constrained Learning. - Kailai Xu; Alexandre M. Tartakovsky; Jeff Burghardt; Eric Darve (CoRR, 2020)

Solving Inverse Problems in Steady State Navier-Stokes Equations using Deep Neural Networks. - Tiffany Fan; Kailai Xu; Jay Pathak; Eric Darve (CoRR, 2020)

Distributed Machine Learning for Computational Engineering using MPI. - Kailai Xu; Weiqiang Zhu; Eric Darve (CoRR, 2020)

ADCME: Learning Spatially-varying Physical Fields using Deep Neural Networks. - Kailai Xu; Eric Darve (CoRR, 2020)

Learning constitutive relations from indirect observations using deep neural networks. - Daniel Zhengyu Huang; Kailai Xu; Charbel Farhat; Eric Darve (J. Comput. Phys., 2020)

ADCME MPI: Distributed Machine Learning for Computational Engineering. - Kailai Xu; Eric Darve (AAAI Spring Symposium: MLPS, 2021)

Trust Region Method for Coupled Systems of PDE Solvers and Deep Neural Networks. - Kailai Xu; Eric Darve (CoRR, 2021)

A general approach to seismic inversion with automatic differentiation. - Weiqiang Zhu; Kailai Xu; Eric Darve; Gregory C. Beroza (Comput. Geosci., 2021)

Learning constitutive relations using symmetric positive definite neural networks. - Kailai Xu; Daniel Zhengyu Huang; Eric Darve (J. Comput. Phys., 2021)

Physics constrained learning for data-driven inverse modeling from sparse observations. - Kailai Xu; Eric Darve (J. Comput. Phys., 2022)