DGM: A deep learning algorithm for solving partial differential equations J Sirignano, K Spiliopoulos Journal of computational physics 375, 1339-1364, 2018 | 2151 | 2018 |

Universal features of price formation in financial markets: perspectives from deep learning J Sirignano, R Cont Machine learning and AI in finance, 5-15, 2021 | 330 | 2021 |

Deep learning for mortgage risk A Sadhwani, K Giesecke, J Sirignano Journal of Financial Econometrics 19 (2), 313-368, 2021 | 255 | 2021 |

Mean field analysis of neural networks: A central limit theorem J Sirignano, K Spiliopoulos Stochastic Processes and their Applications 130 (3), 1820-1852, 2020 | 208 | 2020 |

Mean field analysis of neural networks: A law of large numbers J Sirignano, K Spiliopoulos SIAM Journal on Applied Mathematics 80 (2), 725-752, 2020 | 173 | 2020 |

Deep learning for limit order books JA Sirignano Quantitative Finance 19 (4), 549-570, 2019 | 171 | 2019 |

DPM: A deep learning PDE augmentation method with application to large-eddy simulation J Sirignano, JF MacArt, JB Freund Journal of Computational Physics 423, 109811, 2020 | 123 | 2020 |

Mean field analysis of deep neural networks J Sirignano, K Spiliopoulos arXiv preprint arXiv:1903.04440, 2019 | 88 | 2019 |

Large portfolio asymptotics for loss from default K Giesecke, K Spiliopoulos, RB Sowers, JA Sirignano Mathematical Finance 25 (1), 77-114, 2015 | 82 | 2015 |

Mean field analysis of neural networks J Sirignano, K Spiliopoulos arXiv preprint arXiv:1805.01053 1 (5), 2018 | 76 | 2018 |

Stochastic gradient descent in continuous time J Sirignano, K Spiliopoulos SIAM Journal on Financial Mathematics 8 (1), 933-961, 2017 | 61 | 2017 |

Risk analysis for large pools of loans J Sirignano, K Giesecke Management Science 65 (1), 107-121, 2019 | 57 | 2019 |

Fluctuation analysis for the loss from default K Spiliopoulos, JA Sirignano, K Giesecke Stochastic Processes and their Applications 124 (7), 2322-2362, 2014 | 44 | 2014 |

Embedded training of neural-network subgrid-scale turbulence models JF MacArt, J Sirignano, JB Freund Physical Review Fluids 6 (5), 050502, 2021 | 41 | 2021 |

Large-scale loan portfolio selection JA Sirignano, G Tsoukalas, K Giesecke Operations Research 64 (6), 1239-1255, 2016 | 37 | 2016 |

Stochastic gradient descent in continuous time: A central limit theorem J Sirignano, K Spiliopoulos Stochastic Systems 10 (2), 124-151, 2020 | 36 | 2020 |

Inference for large financial systems K Giesecke, G Schwenkler, JA Sirignano Mathematical Finance 30 (1), 3-46, 2020 | 30 | 2020 |

PDE-constrained models with neural network terms: Optimization and global convergence J Sirignano, J MacArt, K Spiliopoulos Journal of Computational Physics 481, 112016, 2023 | 17 | 2023 |

Asymptotics of reinforcement learning with neural networks J Sirignano, K Spiliopoulos Stochastic Systems 12 (1), 2-29, 2022 | 17 | 2022 |

Scaling limit of neural networks with the xavier initialization and convergence to a global minimum J Sirignano, K Spiliopoulos arXiv preprint arXiv:1907.04108, 2019 | 15 | 2019 |