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Analysis of the generalization error: Empirical risk minimization over deep artificial neural networks overcomes the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations., , and . CoRR, (2018)Mathematical Capabilities of ChatGPT., , , , , , , and . CoRR, (2023)Improved sampling via learned diffusions., , and . CoRR, (2023)An optimal control perspective on diffusion-based generative modeling., , and . CoRR, (2022)Large Language Models for Mathematicians., , , and . CoRR, (2023)Learning ReLU networks to high uniform accuracy is intractable., , and . ICLR, OpenReview.net, (2023)Robust SDE-Based Variational Formulations for Solving Linear PDEs via Deep Learning., and . ICML, volume 162 of Proceedings of Machine Learning Research, page 18649-18666. PMLR, (2022)Pretraining Codomain Attention Neural Operators for Solving Multiphysics PDEs., , , , , , , , , and 2 other author(s). CoRR, (2024)Neural Operators with Localized Integral and Differential Kernels., , , , , and . CoRR, (2024)Training ReLU networks to high uniform accuracy is intractable., , and . CoRR, (2022)