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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
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Yamada, Toshihiro
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2021
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This version : August 10, 2021
Persistent link: https://www.econbiz.de/10012616192
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Deep asymptotic expansion : application to financial mathematics
Iguchi, Yuga
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Naito, Riu
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Okano, Yusuke
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Takahashi, Akihiko
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2021
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First version: 1 November, 2021
Persistent link: https://www.econbiz.de/10012813594
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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
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2021
Persistent link: https://www.econbiz.de/10012813680
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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
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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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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
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2022
Persistent link: https://www.econbiz.de/10014266218
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Solving Kolmogorov PDEs without the curse of dimensionality via deep learning and asymptotic expansion with Malliavin calculus
Takahashi, Akihiko
;
Yamada, Toshihiro
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2023
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This version : May 9, 2023
Persistent link: https://www.econbiz.de/10014266288
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