Asymptotic Expansion as Prior Knowledge in Deep Learning Method for High Dimensional BSDEs
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Elsevier BV
Reference35 articles.
1. Classical and Variational Differentiability of BSDEs with Quadratic Growth;S Ankirchner;Electronic Journal of Probability
2. Least-squares Monte Carlo for Backward SDEs;C Bender;Numerical Methods in Finance,2012
3. Option pricing with different interest rates;Y Z Bergman;Review of Financial Studies,1995
4. Machine Learning Approximation Algorithms for High-Dimensional Fully Nonlinear Partial Differential Equations and Second-order Backward Stochastic Differential Equations
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