Rongjie Lai - Unsupervised In-context Operator Learning for Mean Field Games - IPAM at UCLA
Recorded 15 July 2025. Rongjie Lai of Purdue University presents "Unsupervised In-context Operator Learning for Mean Field Games" at IPAM's Sampling, Inference, and Data-Driven Physical Modeling in Scientific Machine Learning Workshop.Abstract: Recent advances in deep learning have introduced numerous innovative frameworks for solving high-dimensional mean-field games (MFGs). However, these methods are often limited to solving single-instance MFGs and require extensive computational time for each instance, presenting challenges for practical applications.
In this talk, I will present our recent work on a novel framework for learning the MFG solution operator using in-context learning. Our model takes MFG instances as input and directly outputs their solutions in a single forward pass, significantly improving computational efficiency. Our method offers two key advantages: (1) it is discretization-free, making it particularly effective for high-dimensional MFGs, and (2) it can be trained without requiring supervised labels, thereby reducing the computational burden of preparing training datasets common in existing operator learning methods. If time permits, I will also discuss a generalization-error analysis on this transformer-based model, which bridges the proposed framework to emerging theory on in-context learning, and highlights its broader implications and avenues for further work.
Learn more online at: https://www.ipam.ucla.edu/programs/workshops/sampling-inference-and-data-driven-physical-modeling-in-scientific-machine-learning-2/ Receive SMS online on sms24.me
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