Mars (Liyao) Gao

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Ph.D. student
Paul G. Allen School of Computer Science & Engineering
University of Washington

About me

I am a Ph.D. candidate in the Paul G. Allen School of Computer Science & Engineering at the University of Washington, advised by Professor J. Nathan Kutz. My research focuses on AI for science and scientific discovery, developing interpretable and generalizable learning frameworks for complex spatiotemporal systems. I work at the intersection of deep learning, physics learning, and scientific computing, aiming to uncover governing equations and enable reliable long-term prediction to accelerate scientific discovery. My long-term goal is to build robust machine learning methods that can bridge data and physical laws across domains like physics, climate science, fluid dynamics, neuroscience, and materials science. I am broadly interested in deep learning, statistical learning theory, Bayesian methods, time-series modeling, scientific computing, and recently agentic flow for science.

News

[Feb. 2026] Upcoming talk at Johns Hopkins University, AMS seminar. New
[Jan. 2026] SENDAI paper out collaborating with my lab mate Yuxuan Bao! [arXiv] [GitHub] New
[Nov. 2025] Excited as transformer-SHRED paper is accepted by Philosophical Transactions of the Royal Society A!
[Nov. 2025] Talk at University of California, Berkeley, hosted by Prof. Michael Mahoney.
[July 2025] General exam passed!
[July 2025] PySHRED paper out led by amazing David Ye now out on arXiv!! Just pip install pyshred! [arXiv]
[May 2025] Mesh-free SINDy paper collab and advised by amazing Bernat Font now out on arXiv!! [PDF]
[Apr. 2025] Invited talk @ UCSB Applied Math seminar, UW CS4Env, and MIT in Marin Soljačić's group.
[Mar. 2025] Our newest work "Sparse identification of nonlinear dynamics and Koopman operators with Shallow Recurrent Decoder Networks" with isotropic flow and convex loss landscape visualization is now available on arXiv! [Website] [Colab] [Github]
[Oct. 2024] Invited talk @ Georgia Tech ACMS seminar.
[Mar. 2024] Our paper "Bayesian autoencoders for data-driven discovery of coordinates, governing equations, and fundamental constants," is now published in PRSA!

Selected publications

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Bayesian autoencoders for data-driven discovery of coordinates, governing equations and fundamental constants.
Mars L. Gao, J. Nathan Kutz.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

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Convergence of uncertainty estimates in ensemble and Bayesian sparse model discovery.
Mars L. Gao, Urban Fasel, Steven L. Brunton, J. Nathan Kutz.
Under review at Transactions on Pattern Analysis and Machine Intelligence (TPAMI).

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Deformation Robust Roto-Scale-Translation Equivariant CNNs.
Mars L. Gao, Wei Zhu, Guang Lin.
Transaction of Machine Learning Research.

Contact

Email: marsgao [at] uw [dot] edu