This project aims to develop flow-based generative models grounded in a potential mean-field game formalism to construct a probability path connecting the source and target distributions. With additional customized cost terms, this path is expected to reach the data manifold more faithfully, leading to high-quality samples that satisfy manifold characteristics, such as zero PDE residuals for solution fields. Moreover, we aim to recover the Boltzmann energy of the target distribution through controlled transport. The resulting energy-based model will then be applied to anomaly detection, model composition, and inverse problems.
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Job Type
Full-time
Career Level
Intern
Education Level
No Education Listed