A Note on the Global Convergence of Multilayer Neural Networks in the Mean Field Regime

Lénaïc Chizat and Francis Bach, On the global convergence of gradient descent for over-parameterized models using optimal transport , Advances in Neural Information Processing Systems, 2018, pp. 3040–3050

2018

Earlier work this paper cites.

Song Mei, Andrea Montanari, and Phan-Minh Nguyen, A mean field view of the landscape of two-layers neural networks , Proceedings of the National Academy of Sciences, vol. 115, 2018, pp. 7665–7671

2018

Earlier work this paper cites.

Grant Rotskoff and Eric Vanden-Eijnden, Parameters as interacting particles: long time convergence and asymptotic error scaling of neural networks , Advances in Neural Information Processing Systems 31, 2018, pp. 7146–7155

2018

Earlier work this paper cites.

Justin Sirignano and Konstantinos Spiliopoulos, Mean field analysis of neural networks , arXiv preprint arXiv:1805.01053 (2018)

Original

2018

Cited alongside, same era.

Dyego Araújo, Roberto I Oliveira, and Daniel Yukimura, A mean-field limit for certain deep neural networks , arXiv preprint arXiv:1906.00193 (2019)

Original

2019

Cited alongside, same era.

Phan-Minh Nguyen, Mean field limit of the learning dynamics of multilayer neural networks , arXiv preprint arXiv:1902.02880 (2019)

Original

2019

Later among the works it cites.

Phan-Minh Nguyen and Huy Tuan Pham, A rigorous framework for the mean field limit of multilayer neural networks , arXiv preprint arXiv:2001.11443 (2020)

Original

2020

Closest in time.