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On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions.
Proc Math Phys Eng Sci. 2017 Nov;473(2207):20170104. doi: 10.1098/rspa.2017.0104. Epub 2017 Nov 29.
Proc Math Phys Eng Sci. 2017.
PMID: 29225489
Free PMC article.
Solving high-dimensional partial differential equations using deep learning.
Han J, Jentzen A, E W.
Han J, et al. Among authors: jentzen a.
Proc Natl Acad Sci U S A. 2018 Aug 21;115(34):8505-8510. doi: 10.1073/pnas.1718942115. Epub 2018 Aug 6.
Proc Natl Acad Sci U S A. 2018.
PMID: 30082389
Free PMC article.
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Efficient Approximation of High-Dimensional Functions With Neural Networks.
Cheridito P, Jentzen A, Rossmannek F.
Cheridito P, et al. Among authors: jentzen a.
IEEE Trans Neural Netw Learn Syst. 2022 Jul;33(7):3079-3093. doi: 10.1109/TNNLS.2021.3049719. Epub 2022 Jul 6.
IEEE Trans Neural Netw Learn Syst. 2022.
PMID: 33513112
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Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations.
Hutzenthaler M, Jentzen A, Kruse T, Anh Nguyen T, von Wurstemberger P.
Hutzenthaler M, et al. Among authors: jentzen a.
Proc Math Phys Eng Sci. 2020 Dec;476(2244):20190630. doi: 10.1098/rspa.2019.0630. Epub 2020 Dec 16.
Proc Math Phys Eng Sci. 2020.
PMID: 33408553
Free PMC article.
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