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cs.LG2024
In-Context Learning of Linear Systems: Generalization Theory and Applications to Operator Learning
Frank Cole, Yulong Lu, Wuzhe Xu +1
We study theoretical guarantees for solving linear systems in-context using a linear transformer architecture. For in-domain generalization, we provide neural scaling laws that bou…
stat.ML2024★ 1 cited
Score-based generative models break the curse of dimensionality in learning a family of sub-Gaussian probability distributions
Frank Cole, Yulong Lu
While score-based generative models (SGMs) have achieved remarkable success in enormous image generation tasks, their mathematical foundations are still limited. In this paper, we…