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Jentzen, Arnulf
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1

Convergence analysis for gradient flows in the training of ..:

Jentzen, Arnulf ; Riekert, Adrian
Journal of Mathematical Analysis and Applications.  517 (2023)  2 - p. 126601 , 2023
Link: https://doi.org/10.1016/..
 
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2

An efficient Monte Carlo scheme for Zakai equations:

Beck, Christian ; Becker, Sebastian ; Cheridito, Patrick..
Communications in Nonlinear Science and Numerical Simulation.  126 (2023)  - p. 107438 , 2023
Link: https://doi.org/10.1016/..
 
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3

Learning the random variables in Monte Carlo simulations wi..:

Becker, Sebastian ; Jentzen, Arnulf ; Müller, Marvin S..
Mathematical Finance.  34 (2023)  1 - p. 90-150 , 2023
Link: https://doi.org/10.1111/..
 
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4

Overall error analysis for the training of deep neural netw..:

Jentzen, Arnulf ; Welti, Timo
Applied Mathematics and Computation.  455 (2023)  - p. 127907 , 2023
Link: https://doi.org/10.1016/..
 
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5

Deep learning approximations for non-local nonlinear PDEs w..:

Boussange, Victor ; Becker, Sebastian ; Jentzen, Arnulf..
Partial Differential Equations and Applications.  4 (2023)  6 - p. , 2023
Link: https://doi.org/10.1007/..
 
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6

Space-time error estimates for deep neural network approxim..:

Grohs, Philipp ; Hornung, Fabian ; Jentzen, Arnulf.
Advances in Computational Mathematics.  49 (2023)  1 - p. , 2023
Link: https://doi.org/10.1007/..
 
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7

Lower bounds for artificial neural network approximations: ..:

Grohs, Philipp ; Ibragimov, Shokhrukh ; Jentzen, Arnulf.
Journal of Complexity.  77 (2023)  - p. 101746 , 2023
Link: https://doi.org/10.1016/..
 
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8

Strong Overall Error Analysis for the Training of Artificia..:

Jentzen, Arnulf ; Riekert, Adrian
Communications in Mathematics and Statistics.  , 2023
Link: https://doi.org/10.1007/..
 
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9

A proof of convergence for stochastic gradient descent in t..:

Jentzen, Arnulf ; Riekert, Adrian
Zeitschrift für angewandte Mathematik und Physik.  73 (2022)  5 - p. , 2022
Link: https://doi.org/10.1007/..
 
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10

Landscape Analysis for Shallow Neural Networks: Complete Cl..:

Cheridito, Patrick ; Jentzen, Arnulf ; Rossmannek, Florian
Journal of Nonlinear Science.  32 (2022)  5 - p. , 2022
Link: https://doi.org/10.1007/..
 
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11

A proof of convergence for gradient descent in the training..:

Cheridito, Patrick ; Jentzen, Arnulf ; Riekert, Adrian.
Journal of Complexity.  72 (2022)  - p. 101646 , 2022
Link: https://doi.org/10.1016/..
 
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12

Efficient Approximation of High-Dimensional Functions With ..:

Cheridito, Patrick ; Jentzen, Arnulf ; Rossmannek, Florian
IEEE Transactions on Neural Networks and Learning Systems.  33 (2022)  7 - p. 3079-3093 , 2022
Link: https://doi.org/10.1109/..
 
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13

Deep neural network approximations for solutions of PDEs ba..:

Grohs, Philipp ; Jentzen, Arnulf ; Salimova, Diyora
Partial Differential Equations and Applications.  3 (2022)  4 - p. , 2022
Link: https://doi.org/10.1007/..
 
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14

Strong convergence rates for explicit space-time discrete n..:

Becker, Sebastian ; Gess, Benjamin ; Jentzen, Arnulf.
Stochastics and Partial Differential Equations: Analysis and Computations.  11 (2022)  1 - p. 211-268 , 2022
Link: https://doi.org/10.1007/..
 
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15

Overcoming the Curse of Dimensionality in the Numerical App..:

Hutzenthaler, Martin ; Jentzen, Arnulf ; Kruse, Thomas
Foundations of Computational Mathematics.  22 (2021)  4 - p. 905-966 , 2021
Link: https://doi.org/10.1007/..
 
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