Lianghao Cao
A Computational Science, Engineering, and Mathematics Researcher
A Computational Science, Engineering, and Mathematics Researcher
I am a Postdoctoral Scholar Research Associate in Computing and Mathematical Sciences at the California Institute of Technology, hosted by Andrew M. Stuart. Before this position, I obtained a Ph.D. in Computational Science, Engineering, and Mathematics under the supervision of J. Tinsley Oden and Omar Ghattas at the Oden Institute of the University of Texas at Austin. A brief professional bio can be found here.
My research combines mechanistic modeling, uncertainty quantification, and scientific machine learning to enhance the reliability of physical simulations and support risk-aware decision-making. I have experience in using modeling and simulation to address challenges in polymer science, multiscale inelasticity, epidemiology, and geophysics. Read more about my research here.
I am applying to tenure-track positions in engineering, statistics/data science, or computational mathematics. Please also feel free to contact me about industry research positions.
Inhomogenous Polymers
Learn to predict patterns using microscopy data
Inverse Problems
Riemannian Manifold Hamiltonian Monte Carlo
Multiscale Modeling
Stress response of a crystal plasticity unit cell
Material Testing
Image data from uniaxial testing
Sequential
Decision- Making
Greedy approach for finding signal location
May 2026
Our preprint title, "A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables", is now available on arXiv. This is joint work with Mayank Raj, Andrew Stuart, and Kaushik Bhattacharya. [link]
April 2026
Our paper titled "Optimal Experimental Design for Reliable Learning of History-Dependent Constitutive Laws" is published in Computer Methods in Applied Mechanics and Engineering. This is a joint work with Kaushik Bhattacharya and Andrew Stuart. [link]
March 2026
Our paper titled "LazyDINO: Fast, Scalable, and Efficiently Amortized Bayesian Inversion via Structure-Exploiting and Surrogate-Driven Measure Transport" is published in the Journal of Machine Learning Research. This is a joint work with Joshua Chen (joint first author), Michael Brennan, Thomas O'Leary-Roseberry, Youssef Marzouk, and Omar Ghattas. [link]
July 2026
I will give a contributed talk at WCCM-ECCOMAS 2026 in MS136A on Fundamental Concepts in Scientific ML (11:45-12:00, 14a, Friday, July 24th). I will present theoretical and numerical results on the operator learning of inelastic homogenization.
June 2026
I gave a contributed talk (Monday, June 22nd) at USNCTAM 2026, in the MS on Data-driven approaches for solid mechanics. I presented a method for efficiently and reliably learning inelastic constitutive laws from optimized experiments. [paper][slides]
April 2026
I gave an invited talk at the CaCao workshop hosted by the Scripps Institution of Oceanography at UC San Diego. The topic is amortized sequential Bayesian inference and experimental design.
See past updates and presentations here.