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New asymptotic expansion formula via Malliavin calculus and its application to rough differential equation driven by fractional Brownian motion
Takahashi, Akihiko
;
Yamada, Toshihiro
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2023
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This version: July 3, 2023
Persistent link: https://www.econbiz.de/10014331906
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2
Deep asymptotic expansion : application to financial mathematics
Iguchi, Yuga
;
Naito, Riu
;
Okano, Yusuke
;
Takahashi, Akihiko
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2021
-
First version: 1 November, 2021
Persistent link: https://www.econbiz.de/10012813594
Saved in:
3
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:
4
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:
5
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
-
2022
Persistent link: https://www.econbiz.de/10014266218
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6
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
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7
Multi-agent robust optimal investment problem in incomplete market
Kizaki, Keisuke
;
Saito, Taiga
;
Takahashi, Akihiko
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2023
Persistent link: https://www.econbiz.de/10014438131
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8
A multi-agent incomplete equilibrium model and its applications to reinsurance pricing and life-cycle investment
Kizaki, Keisuke
;
Saito, Taiga
;
Takahashi, Akihiko
-
2023
Persistent link: https://www.econbiz.de/10014438155
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9
A mean field game approach to equilibrium pricing with market clearing condition
Fujii, Masaaki
;
Takahashi, Akihiko
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2021
-
This version: 25 September, 2021
Persistent link: https://www.econbiz.de/10012813504
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10
Strong convergence to the mean-field limit of a finite agent equilibrium
Fujii, Masaaki
;
Takahashi, Akihiko
-
2021
-
This version: 10 December, 2021
Persistent link: https://www.econbiz.de/10012813661
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