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Jentzen Arnulf

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Taylor Approximations for Stochastic Partial Differential Equations

Taylor Approximations for Stochastic Partial Differential Equations

Arnulf Jentzen and Peter E. Kloeden

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Mathematical Aspects of Deep Learning

Mathematical Aspects of Deep Learning

Philipp Grohs and Gitta Kutyniok

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A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black–Scholes Partial Differential Equations

A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black–Scholes Partial Differential Equations

Philipp Grohs, Fabian Hornung, Arnulf Jentzen and Philippe von Wurstemberger

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Numerical Analysis meets Machine Learning

Numerical Analysis meets Machine Learning

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Machine Learning and Data Sciences for Financial Markets

Machine Learning and Data Sciences for Financial Markets

Agostino Capponi and Charles-Albert Lehalle

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Numerical Approximations of Stochastic Differential Equations with Non-Globally Lipschitz Continuous Coefficients

Numerical Approximations of Stochastic Differential Equations with Non-Globally Lipschitz Continuous Coefficients

Martin Hutzenthaler and Arnulf Jentzen

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Local Lipschitz Continuity in the Initial Value and Strong Completeness for Nonlinear Stochastic Differential Equations

Local Lipschitz Continuity in the Initial Value and Strong Completeness for Nonlinear Stochastic Differential Equations

Sonja Cox, Martin Hutzenthaler and Arnulf Jentzen

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