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Communications in Applied and Industrial Mathematics
Volume 13 (2022): Issue 1 (January 2022)
Open Access
Continuous limits of residual neural networks in case of large input data
Michael Herty
Michael Herty
,
Anna Thünen
Anna Thünen
,
Torsten Trimborn
Torsten Trimborn
and
Giuseppe Visconti
Giuseppe Visconti
| Dec 24, 2022
Communications in Applied and Industrial Mathematics
Volume 13 (2022): Issue 1 (January 2022)
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Published Online:
Dec 24, 2022
Page range:
96 - 120
Received:
Jul 11, 2022
Accepted:
Nov 12, 2022
DOI:
https://doi.org/10.2478/caim-2022-0008
Keywords
Neural networks
,
mean-field limit
,
well-posedness
,
optimal control
,
controllability
© 2022 Michael Herty et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.