... A mean-field optimal control formulation of deep learning. Research in the Mathematical Sciences, 6(1), 1–41. E, Weinan, Hutzenthaler, Martin, Jentzen, Arnulf, and Kruse, Thomas. 2019c. On multilevel Picard numerical approximations for ...
... Neural Information Processing Systems (NeurIPS) (2018) 5. E, W.: A proposal on machine learning via dynamical systems. Commun. Math. Stat. 5, 1–11 (2017) 6. E. W., Han, J., Li, Q.: A mean-field optimal control formulation of deep learning ...
... A mean-field optimal control formulation of deep learning. Research in the Mathematical Sciences 6 (1), 1–41. E, W., Ma, C., Wu, L., 2019b. Machine learning from a ... Machine learning and control theory Chapter | 16 557 References.
In this work, we have focused on such problems in coding theory for communication systems and mean-field games.
... A mean-field optimal control formulation of deep learning. Res. Math. Sci. 6(1), 10 (2019). https://doi.org/10.1007/s40687-018-0172-y 9. Effland, A., Kobler, E., Kunisch, K., Pock, T.: Variational networks: an optimal control approach ...
This volume provides an introduction to the theory of Mean Field Games, suggested by J.-M. Lasry and P.-L. Lions in 2006 as a mean-field model for Nash equilibria in the strategic interaction of a large number of agents.
A major outstanding theoretical challenge in deep learning is the understanding of the learning dynamics of neural networks.
This book discusses methods and algorithms for the near-optimal adaptive control of nonlinear systems, including the corresponding theoretical analysis and simulative examples, and presents two innovative methods for the redundancy ...
This is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the authors in the last few years at Politecnico di Milano, both at the undergraduate and graduate ...
Liberzon nicely balances rigor and accessibility, and provides fascinating historical perspectives and thought-provoking exercises. A course based on this book will be a pleasure to take.