@article{machinelearningapproximationalgorithmsfo, title = {Machine learning approximation algorithms for high-dimensional fully nonlinear partial differential equations and second-order backward stochastic differential equations}, author = {Christian Beck and Weinan E and Arnulf Jentzen}, year = {2017}, eprint = {1709.05963}, archivePrefix = {arXiv}, url = {http://arxiv.org/abs/1709.05963v1}, }