ADMM and Accelerated ADMM as Continuous Dynamical Systems G França, DP Robinson, R Vidal
International Conference on Machine Learning 2018, 2018
81 2018 Conformal symplectic and relativistic optimization G França, J Sulam, DP Robinson, R Vidal
Journal of Statistical Mechanics: Theory and Experiment 2020, 124008, 2020
54 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
43 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
40 * 2023 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
36 2021 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 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
26 2009 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 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 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
15 2022 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 Optimization on manifolds: A symplectic approach G França, A Barp, M Girolami, MI Jordan
arXiv preprint arXiv:2107.11231, 2021
11 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
11 2012 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
11 2011 Some Riemann Hypotheses from random walks over primes G França, A LeClair
Communications in Contemporary Mathematics 20 (07), 1750085, 2018
10 * 2018 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 Distributed optimization, averaging via ADMM, and network topology G França, J Bento
Proceedings of the IEEE 108 (11), 1939-1952, 2020
9 2020 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