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Ding-Xuan Zhou

3 papers indexed

arxivmath.NAcs.LGmath.STstat.ML2026-07-21

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(Ω)$ A Priori Error Bounds with Application to Mean Escape Time Computation

Nathanael Tepakbong, Jun Fan, Xiang Zhou, Ding-Xuan Zhou

Motivated by the numerical computation of the Mean Escape Time (MET) $τ:Ω\to\mathbb{R}$ of a stochastic process from a bounded domain $Ω\subseteq\mathbb{R}^d$, we study elliptic Dirichlet boundary value problems (BVPs) using boundary-enforced Physics-Informed Neural Networks (PIN…

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arxivcs.LGstat.ML2026-07-01

Ghost in the Kernel: In-Context Learning with Efficient Transformers via Domain Generalization

Peilin Liu, Ding-Xuan Zhou

Transformer-based large models have demonstrated remarkable generalization abilities across different tasks by leveraging a context-aware attention module for in-context learning. With richer context, transformers adapt more effectively to the current use case without any paramet…

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