Kailai Xu

  Kailai Xu   (许开来)

As of 2021, I am a fifth year PhD student in Institute for Computational and Mathematical Engineering(ICME). Graduated in 2016, I obtained my Bachelor's degree in Peking Univeristy as a student of computational mathematics. My Ph.D. advisor is Eric Darve.


Huang Engineering Center

Stanford, CA 94305


Research Interest

  • Data-driven inverse modeling;
  • Automatic differentiation;
  • Numerical partial differential equations.


To have an overview of my research, read my slides on Machine Learning for Inverse Problems in Computational Engineering.

I defended my thesis on 4/22/2021; read my oral defense slide on Machine Learning for Computational Engineering.


About Myself

My current research interest centers on physics-based machine learning for inverse problems in scientific computing. I developed the open-source software ADCME.jl in Julia and C++ for high-performance inverse modeling using automatic differentiation. Specifically, I have developed novel physics-based machine learning algorithms and software packages based on ADCME.jl for solving inverse problems in stochastic processes, solid mechanics, geophysics and fluid dynamics. One highlight of my research is combining neural networks with numerical solvers for PDEs, which enables data-driven modeling with physics knowledge.


My LinkedIn profile: LinkedIn.