Toshihiro Yamada

According to our database1, Toshihiro Yamada authored at least 25 papers between 2012 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2024
A weak approximation for Bismut's formula: An algorithmic differentiation method.
Math. Comput. Simul., February, 2024

Asymptotic Expansion and Weak Approximation for a Stochastic Control Problem on Path Space.
Entropy, February, 2024

A forward scheme with machine learning for forward-backward SDEs with jumps by decoupling jumps.
CoRR, 2024

An extended Milstein scheme for effective weak approximation of diffusions.
CoRR, 2024

2023
Total variation bound for Milstein scheme without iterated integrals.
Monte Carlo Methods Appl., September, 2023

Discrete Bismut formula: Conditional integration by parts and a representation for delta hedging process.
Risk Decis. Anal., 2023

New asymptotic expansion formula via Malliavin calculus and its application to rough differential equation driven by fractional Brownian motion.
CoRR, 2023

2022
Short Communication: A Gaussian Kusuoka Approximation without Solving Random ODEs.
SIAM J. Financial Math., 2022

A high order weak approximation for jump-diffusions using Malliavin calculus and operator splitting.
Monte Carlo Methods Appl., 2022

A new efficient approximation scheme for solving high-dimensional semilinear PDEs: Control variate method for Deep BSDE solver.
J. Comput. Phys., 2022

Weak approximation of SDEs for tempered distributions and applications.
Adv. Comput. Math., 2022

A deep learning-based high-order operator splitting method for high-dimensional nonlinear parabolic PDEs via Malliavin calculus: application to CVA computation.
Proceedings of the IEEE Symposium on Computational Intelligence for Financial Engineering and Economics, 2022

2021
Acceleration of automatic differentiation of solutions to parabolic partial differential equations: a higher order discretization.
Numer. Algorithms, 2021

High order weak approximation for irregular functionals of time-inhomogeneous SDEs.
Monte Carlo Methods Appl., 2021

2020
A machine learning solver for high-dimensional integrals: Solving Kolmogorov PDEs by stochastic weighted minimization and stochastic gradient descent through a high-order weak approximation scheme of SDEs with Malliavin weights.
CoRR, 2020

2019
An Arbitrary High Order Weak Approximation of SDE and Malliavin Monte Carlo: Analysis of Probability Distribution Functions.
SIAM J. Numer. Anal., 2019

A control variate method for weak approximation of SDEs via discretization of numerical error of asymptotic expansion.
Monte Carlo Methods Appl., 2019

A second-order discretization for forward-backward SDEs using local approximations with Malliavin calculus.
Monte Carlo Methods Appl., 2019

A third-order weak approximation of multidimensional Itô stochastic differential equations.
Monte Carlo Methods Appl., 2019

Second Order Discretization of Bismut-Elworthy-Li Formula: Application to Sensitivity Analysis.
SIAM/ASA J. Uncertain. Quantification, 2019

2018
A second-order weak approximation of SDEs using a Markov chain without Lévy area simulation.
Monte Carlo Methods Appl., 2018

2017
A higher order weak approximation scheme of multidimensional stochastic differential equations using Malliavin weights.
J. Comput. Appl. Math., 2017

2015
On Error Estimates for Asymptotic Expansions with Malliavin Weights: Application to Stochastic Volatility Model.
Math. Oper. Res., 2015

2013
An asymptotic expansion formula for up-and-out barrier option price under stochastic volatility model.
JSIAM Lett., 2013

2012
An Asymptotic Expansion with Push-Down of Malliavin Weights.
SIAM J. Financial Math., 2012


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