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  • May
    27

    Appl Math: Yiping Lu on "Two Tales, One Resolution: Physics-Informed Test Time Scaling and Precondition"

    McCormick-Engineering Sciences and Applied Mathematics (ESAM)

    11:15 AM M416, Technological Institute

    EVENT DETAILS

    Title: Two Tales, One Resolution: Physics-Informed Test Time Scaling and Precondition

    Speaker: Yiping Lu, Northwestern University

    Abstract: In this talk, I will introduce a novel framework for physics-informed debiasing of machine learning estimators, which we call Simulation-Calibrated Scientific Machine Learning (SCaSML). This approach leverages the structure of physical models to achieve two key objectives:

    Unbiased Predictions: It produces unbiased predictions even when the underlying machine learning predictor is biased.
    Overcoming Dimensionality Challenges: It mitigates the curse of dimensionality that often affects high-dimensional estimators.

    The SCaSML paradigm integrates a (potentially) biased machine learning algorithm with a de-biasing procedure that is rigorously designed using numerical analysis and stochastic simulation. Our methodology aligns with recent advances in inference-time computation—similar to those seen in the large language model literature—demonstrating that additional computation can enhance ML estimates. Furthermore, we establish a surprising equivalence between our framework and another research direction that utilizes approximate (linearized) solvers to precondition iterative methods. This connection not only bridges two distinct areas of study but also offers new insights into improving estimation accuracy in complex, high-dimensional (PDE) settings.

    Zoom: https://northwestern.zoom.us/j/94570889326

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    TIME Tuesday, May 27, 2025 at 11:15 AM - 12:15 PM

    LOCATION M416, Technological Institute    map it

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    CONTACT Ted Shaeffer    ted.shaeffer@northwestern.edu EMAIL

    CALENDAR McCormick-Engineering Sciences and Applied Mathematics (ESAM)