On best-response dynamics in potential games B Swenson, R Murray, S Kar SIAM Journal on Control and Optimization 56 (4), 2734-2767, 2018 | 70 | 2018 |

Revisiting normalized gradient descent: Fast evasion of saddle points R Murray, B Swenson, S Kar IEEE Transactions on Automatic Control 64 (11), 4818-4824, 2019 | 54 | 2019 |

On self-similar solutions to the incompressible Euler equations A Bressan, R Murray Journal of Differential Equations 269 (6), 5142-5203, 2020 | 37 | 2020 |

Distributed stochastic gradient descent: Nonconvexity, nonsmoothness, and convergence to local minima B Swenson, R Murray, HV Poor, S Kar Journal of Machine Learning Research 23 (328), 1-62, 2022 | 34 | 2022 |

A new analytical approach to consistency and overfitting in regularized empirical risk minimization NG Trillos, R Murray European Journal of Applied Mathematics 28 (6), 886-921, 2017 | 24 | 2017 |

A maximum principle argument for the uniform convergence of graph Laplacian regressors N Garcia Trillos, RW Murray SIAM Journal on Mathematics of Data Science 2 (3), 705-739, 2020 | 22 | 2020 |

Second-order Γ-limit for the Cahn–Hilliard functional G Leoni, R Murray Archive for Rational Mechanics and Analysis 219, 1383-1451, 2016 | 21 | 2016 |

A model for system uncertainty in reinforcement learning R Murray, M Palladino Systems & Control Letters 122, 24-31, 2018 | 20 | 2018 |

The geometry of adversarial training in binary classification L Bungert, N García Trillos, R Murray Information and Inference: A Journal of the IMA 12 (2), 921-968, 2023 | 19 | 2023 |

Distributed gradient descent: Nonconvergence to saddle points and the stable-manifold theorem B Swenson, R Murray, HV Poor, S Kar 2019 57th Annual Allerton Conference on Communication, Control, and …, 2019 | 18 | 2019 |

Adversarial classification: Necessary conditions and geometric flows NG Trillos, R Murray Journal of Machine Learning Research 23 (187), 1-38, 2022 | 17 | 2022 |

Distributed gradient flow: Nonsmoothness, nonconvexity, and saddle point evasion B Swenson, R Murray, HV Poor, S Kar IEEE Transactions on Automatic Control 67 (8), 3949-3964, 2021 | 17 | 2021 |

From graph cuts to isoperimetric inequalities: Convergence rates of Cheeger cuts on data clouds N García Trillos, R Murray, M Thorpe Archive for Rational Mechanics and Analysis 244 (3), 541-598, 2022 | 14 | 2022 |

Regular potential games B Swenson, R Murray, S Kar Games and Economic Behavior 124, 432-453, 2020 | 12 | 2020 |

Algebraic Decay to Equilibrium for the Becker--Döring Equations RW Murray, RL Pego SIAM Journal on Mathematical Analysis 48 (4), 2819-2842, 2016 | 12* | 2016 |

Slow motion for the nonlocal Allen–Cahn equation in *n* dimensionsR Murray, M Rinaldi Calculus of Variations and Partial Differential Equations 55, 1-33, 2016 | 11 | 2016 |

Cutoff estimates for the Becker-D\" oring equations R Murray, R Pego arXiv preprint arXiv:1609.07965, 2016 | 9 | 2016 |

On the long-time behavior of scale-invariant solutions to the 2d Euler equation and applications T Elgindi, R Murray, A Said arXiv preprint arXiv:2211.08418, 2022 | 8 | 2022 |

Distributed stochastic gradient descent and convergence to local minima B Swenson, R Murray, S Kar, HV Poor arXiv preprint arXiv:2003.02818, 2020 | 7 | 2020 |

Tukey Depths and Hamilton--Jacobi Differential Equations M Molina-Fructuoso, R Murray SIAM Journal on Mathematics of Data Science 4 (2), 604-633, 2022 | 6 | 2022 |