activity
20172021
most citedPhysics Constrained Learning for Data-driven Inverse Modeling from Sparse Observations

22 citations · 67 across the 9 of their papers we have counts for

collaborators

16 papers

physics.geo-ph20211 cited

Autonomous Inversion of In Situ Deformation Measurement Data for CO2 Storage Decision Support

Jeff Burghardt, Ting Bao, Kailai Xu +2

Current methods of estimating the change in stress caused by injecting fluid into subsurface formations require choosing the type of constitutive model and the model parameters bas…

math.NA2021

Trust Region Method for Coupled Systems of PDE Solvers and Deep Neural Networks

Kailai Xu, Eric Darve

Physics-informed machine learning and inverse modeling require the solution of ill-conditioned non-convex optimization problems. First-order methods, such as SGD and ADAM, and quas…

physics.geo-ph2020

Integrating Deep Neural Networks with Full-waveform Inversion: Reparametrization, Regularization, and Uncertainty Quantification

Weiqiang Zhu, Kailai Xu, Eric Darve +2

Full-waveform inversion (FWI) is an accurate imaging approach for modeling velocity structure by minimizing the misfit between recorded and predicted seismic waveforms. However, th…

math.NA202018 cited

ADCME: Learning Spatially-varying Physical Fields using Deep Neural Networks

Kailai Xu, Eric Darve

ADCME is a novel computational framework to solve inverse problems involving physical simulations and deep neural networks (DNNs). This paper benchmarks its capability to learn spa…

cs.DC20205 cited

Distributed Machine Learning for Computational Engineering using MPI

Kailai Xu, Weiqiang Zhu, Eric Darve

We propose a framework for training neural networks that are coupled with partial differential equations (PDEs) in a parallel computing environment. Unlike most distributed computi…

math.NA2020

Solving Inverse Problems in Steady-State Navier-Stokes Equations using Deep Neural Networks

Tiffany Fan, Kailai Xu, Jay Pathak +1

Inverse problems in fluid dynamics are ubiquitous in science and engineering, with applications ranging from electronic cooling system design to ocean modeling. We propose a genera…