Miguel Liu-Schiaffini

Computer Science Department, Stanford.

miguel.jpeg
mliuschi [at] stanford [dot] edu

I’m a first-year PhD student in the Computer Science Department at Stanford. Previously, I was a research intern in the Learning and Perception group at NVIDIA Research and a member of Anima Anandkumar’s AI + Science lab Lab at Caltech, where I did my undergraduate studies. I also spent time as a research intern at the University of Texas Institute for Geophysics.

My research has focused on the theory and applications of neural operators and operator learning, particularly in their application to solving partial differential equations (PDEs). For instance, I have worked on developing neural operators for forecasting in chaotic, non-stationary, and stochastic time-dependent systems. I am very passionate about the scientific applications of machine learning and have worked on using machine learning to forecast climate tipping points, estimating glacial ice thickness, and characterizing features of the Martian terrain.

I am grateful to be supported by the NSF Graduate Research Fellowship. During my undergraduate studies, I was supported by the Mellon Mays Undergraduate Fellowship and was honored to receive the 2024 Barry Goldwater scholarship.

News

Jul 21, 2025 I started my PhD at Stanford, where I’m currently rotating under Prof. Carlos Guestrin!
Jun 13, 2025 Graduated from Caltech and am very honored to have received the George W. Housner Prize for Academic Excellence and Original Research!
Jun 12, 2025 Our new paper, “Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning” is on arXiv!
Apr 08, 2025 I’m very honored to have been named an NSF GRFP fellow!
Oct 23, 2024 Our new paper, “Unifying Subsampling Pattern Variations for Compressed Sensing MRI with Neural Operators” is on arXiv!

Selected publications

  1. local_no.png
    Neural Operators with Localized Integral and Differential Kernels
    Miguel Liu-Schiaffini*, Julius Berner*, Boris Bonev*, Thorsten Kurth, Kamyar Azizzadenesheli, and Anima Anandkumar
    41st International Conference on Machine Learning, 2024
  2. mno.png
    Learning Chaotic Dynamics in Dissipative Systems
    Zongyi Li*Miguel Liu-Schiaffini*, Nikola Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew Stuart, and Anima Anandkumar
    Advances in Neural Information Processing Systems, 2022
  3. nature.png
    Neural Operators for Accelerating Scientific Simulations and Design
    Kamyar Azizzadenesheli, Nikola Kovachki, Zongyi Li, Miguel Liu-Schiaffini, Jean Kossaifi, and Anima Anandkumar
    Nature Reviews Physics, 2024
  4. ice_picking.png
    Ice Thickness From Deep Learning and Conditional Random Fields: Application to Ice-Penetrating Radar Data With Radiometric Validation
    Miguel Liu-Schiaffini, Gregory Ng, Cyril Grima, and Duncan Young
    IEEE Transactions on Geoscience and Remote Sensing, 2022
  5. tipping_point.png
    Tipping Point Forecasting in Non-Stationary Dynamics on Function Spaces
    Miguel Liu-Schiaffini, Clare E Singer, Nikola Kovachki, Tapio Schneider, Kamyar Azizzadenesheli, and Anima Anandkumar
    arXiv preprint arXiv:2308.08794, 2023
  6. nn_to_no.png
    Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning
    Julius Berner*Miguel Liu-Schiaffini*, Jean Kossaifi, Valentin Duruisseaux, Boris Bonev, Kamyar Azizzadenesheli, and Anima Anandkumar
    arXiv preprint arXiv:2506.10973, 2025
  7. constraints.png
    Towards Enforcing Hard Physics Constraints in Operator Learning Frameworks
    Valentin Duruisseaux*Miguel Liu-Schiaffini*, Julius Berner, and Anima Anandkumar
    ICML 2024 AI for Science Workshop, 2024
  8. neuraloperator_logo.png
    A Library for Learning Neural Operators
    Jean Kossaifi, Nikola Kovachki, Zongyi Li, David Pitt, Miguel Liu-Schiaffini, Robert Joseph George, Boris Bonev, Kamyar Azizzadenesheli, Julius Berner, Valentin Duruisseaux, and  others
    arXiv preprint arXiv:2412.10354, 2024
  9. mri.png
    A Unified Model for Compressed Sensing MRI Across Undersampling Patterns
    Armeet Jatyani, Jiayun Wang, Aditi Chandrashekar, Zihui Wu, Miguel Liu-Schiaffini, Bahareh Tolooshams, and Anima Anandkumar
    Conference on Computer Vision & Pattern Recognition, 2025