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20092026
most citedSolving high-dimensional partial differential equations using deep learning

1.8k citations · 7.5k across the 146 of their papers we have counts for

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math.PR2026

Central limit theorem for the averaged Adam optimizer

Steffen Dereich, Arnulf Jentzen

In this article, we analyse convergence of the averaged Adam optimizer to an attracting zero of the Adam vector field. We provide a central limit theorem that, in particular, quant…

math.PR2026

Controlled fields, rough stochastic calculus, and Itô-Wentzell-Alekseev-Gröbner identities

Jannis R. Dause, Peter K. Friz, Arnulf Jentzen +1

We develop a calculus of space-time controlled fields for rough stochastic systems. This approach provides a unified composition rule for evaluating random fields along rough semim…