ADMM and Accelerated ADMM as Continuous Dynamical Systems G França, DP Robinson, R Vidal International Conference on Machine Learning 2018, 2018 | 78 | 2018 |

Conformal symplectic and relativistic optimization G França, J Sulam, DP Robinson, R Vidal Journal of Statistical Mechanics: Theory and Experiment 2020, 124008, 2020 | 52 | 2020 |

On dissipative symplectic integration with applications to gradient-based optimization G França, MI Jordan, R Vidal Journal of Statistical Mechanics: Theory and Experiment 2021 (4), 043402, 2021 | 41 | 2021 |

A nonsmooth dynamical systems perspective on accelerated extensions of ADMM G França, DP Robinson, R Vidal IEEE Transactions on Automatic Control 68 (5), 2966-2978, 2023 | 36* | 2023 |

An explicit rate bound for over-relaxed ADMM G França, J Bento 2016 IEEE International Symposium on Information Theory (ISIT), 2104-2108, 2016 | 33 | 2016 |

Understanding the dynamics of gradient flow in overparameterized linear models S Tarmoun, G Franca, BD Haeffele, R Vidal International Conference on Machine Learning, 10153-10161, 2021 | 30 | 2021 |

Gradient flows and proximal splitting methods: A unified view on accelerated and stochastic optimization G França, DP Robinson, R Vidal Physical Review E 103 (5), 053304, 2021 | 25* | 2021 |

Negative even grade mKdV hierarchy and its soliton solutions JF Gomes, GS França, GR de Melo, AH Zimerman J. Phys. A: Math. Theor. 42, 445204, 2009 | 25 | 2009 |

Transcendental equations satisfied by the individual zeros of Riemann , Dirichlet and modular -functions G França, A LeClair Communications in Number Theory and Physics, Vol. 9, No. 1 (2015), arXiv …, 2015 | 23 | 2015 |

How is distributed ADMM affected by network topology? G França, J Bento arXiv preprint arXiv:1710.00889, 2017 | 19 | 2017 |

Kernel k-groups via Hartigan’s method G França, ML Rizzo, JT Vogelstein IEEE Transactions on Pattern Analysis and Machine Intelligence 43 (12), 4411 …, 2020 | 14 | 2020 |

Markov Chain Lifting and Distributed ADMM G França, J Bento IEEE Signal Processing Letters, arXiv:1703.03859 [stat.ML] 24 (3), 294 - 298, 2017 | 14 | 2017 |

Geometric Methods for Sampling, Optimization, Inference and Adaptive Agents A Barp, L Da Costa, G França, K Friston, M Girolami, MI Jordan, ... Handbook of Statistics, Vol. 46, 2022, pp 21-78, 2022 | 13 | 2022 |

Optimization on manifolds: A symplectic approach G França, A Barp, M Girolami, MI Jordan arXiv preprint arXiv:2107.11231, 2021 | 13 | 2021 |

The higher grading structure of the WKI hierarchy and the two-component short pulse equation GS Franca, JF Gomes, AH Zimerman Journal of High Energy Physics 2012 (8), 1-25, 2012 | 12 | 2012 |

Statistical and other properties of Riemann zeros based on an explicit equation for the -th zero on the critical line G França, A LeClair arXiv preprint arXiv:1307.8395, 2013 | 10* | 2013 |

Some Riemann Hypotheses from random walks over primes G França, A LeClair Communications in Contemporary Mathematics 20 (07), 1750085, 2018 | 9* | 2018 |

An Explicit Convergence Rate for Nesterov's Method from SDP S Safavi, B Joshi, G França, J Bento 2018 IEEE International Symposium on Information Theory (ISIT), 2018 | 9 | 2018 |

Nonvanishing boundary condition for the mKdV hierarchy and the Gardner equation JF Gomes, GS França, AH Zimerman Journal of Physics A: Mathematical and Theoretical 45 (1), 015207, 2011 | 9 | 2011 |

Distributed optimization, averaging via ADMM, and network topology G França, J Bento Proceedings of the IEEE 108 (11), 1939-1952, 2020 | 8 | 2020 |