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A new efficient approximation scheme for solving high-dimensional semilinear PDEs : control variate method for Deep BSDE solver
Takahashi, Akihiko
;
Tsuchida, Yoshifumi
;
Yamada, Toshihiro
-
2021
Persistent link: https://www.econbiz.de/10012813680
Saved in:
2
A new efficient approximation scheme for solving high-dimensional semilinear PDEs : control variate method for Deep BSDE solver
Takahashi, Akihiko
;
Tsuchida, Yoshifumi
;
Yamada, Toshihiro
-
2021
-
This version : August 10, 2021
Persistent link: https://www.econbiz.de/10012616192
Saved in:
3
Asymptotic expansion as prior knowledge in deep learning method for high dimensional BSDEs
Fujii, Masaaki
;
Takahashi, Akihiko
;
Takahashi, Masayuki
- In:
Asia-Pacific financial markets
26
(
2019
)
3
,
pp. 391-408
Persistent link: https://www.econbiz.de/10012309704
Saved in:
4
Solving Kolmogorov PDEs without the curse of dimensionality via deep learning and asymptotic expansion with Malliavin calculus
Takahashi, Akihiko
;
Yamada, Toshihiro
-
2023
-
This version: May 9, 2023
Persistent link: https://www.econbiz.de/10014289121
Saved in:
5
Solving Kolmogorov PDEs without the curse of dimensionality via deep learning and asymptotic expansion with Malliavin calculus
Takahashi, Akihiko
;
Yamada, Toshihiro
-
2023
-
This version : May 9, 2023
Persistent link: https://www.econbiz.de/10014266288
Saved in:
6
A new efficient approximation scheme for solving high-dimensional semilinear PDEs : control variate method for Deep BSDE solver
Takahashi, Akihiko
;
Tsuchida, Yoshifumi
;
Yamada, Toshihiro
-
2021
-
Revised in August, November 2021, January and February 2022
Persistent link: https://www.econbiz.de/10013335002
Saved in:
7
Asymptotic expansion and deep neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with nonlinear coeffi...
Takahashi, Akihiko
;
Yamada, Toshihiro
-
2021
Persistent link: https://www.econbiz.de/10013336341
Saved in:
8
Deep asymptotic expansion with weak approximation
Iguchi, Yuga
;
Naito, Riu
;
Okano, Yusuke
;
Yamada, Toshihiro
-
2021
-
Revised in August 2021
Persistent link: https://www.econbiz.de/10013336343
Saved in:
9
Deep Asymptotic Expansion : Application to Financial Mathematics
Iguchi, Yuga
;
Naito, Riu
;
Takahashi, Akihiko
;
Yamada, …
-
2021
-
Revised in February 2022
Persistent link: https://www.econbiz.de/10013339086
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