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; Philippe von Wurstemberger (CoRR, 2018)

Space-time deep neural network approximations for high-dimensional partial differential equations. - Fabian Hornung; Arnulf Jentzen; Diyora Salimova (CoRR, 2020)

Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations. - Christian Beck; Fabian Hornung; Martin Hutzenthaler; Arnulf Jentzen; Thomas Kruse (J. Num. Math., 2020)

Space-time error estimates for deep neural network approximations for differential equations. - Philipp Grohs; Fabian Hornung; Arnulf Jentzen; Philipp Zimmermann (Adv. Comput. Math., 2023)