Economic models and mean-field games theory DA Gomes, L Nurbekyan, E Pimentel Publicaoes Matematicas, IMPA, Rio, Brazil, 2015 | 56 | 2015 |
A machine learning framework for solving high-dimensional mean field game and mean field control problems L Ruthotto, SJ Osher, W Li, L Nurbekyan, SW Fung Proceedings of the National Academy of Sciences 117 (17), 9183-9193, 2020 | 39 | 2020 |
One-dimensional stationary mean-field games with local coupling DA Gomes, L Nurbekyan, M Prazeres Dynamic Games and Applications 8 (2), 315-351, 2018 | 33 | 2018 |
How to train your neural ode C Finlay, JH Jacobsen, L Nurbekyan, AM Oberman arXiv preprint arXiv:2002.02798, 2020 | 25 | 2020 |
Explicit solutions of one-dimensional, first-order, stationary mean-field games with congestion DA Gomes, L Nurbekyan, M Prazeres 2016 IEEE 55th Conference on Decision and Control (CDC), 4534-4539, 2016 | 21 | 2016 |
How to train your neural ODE: the world of Jacobian and kinetic regularization C Finlay, JH Jacobsen, L Nurbekyan, A Oberman International Conference on Machine Learning, 3154-3164, 2020 | 20 | 2020 |
APAC-Net: Alternating the population and agent control via two neural networks to solve high-dimensional stochastic mean field games AT Lin, SW Fung, W Li, L Nurbekyan, SJ Osher arXiv preprint arXiv:2002.10113, 2020 | 13 | 2020 |
First-order, stationary mean-field games with congestion D Evangelista, R Ferreira, DA Gomes, L Nurbekyan, V Voskanyan Nonlinear Analysis 173, 37-74, 2018 | 12 | 2018 |
One-dimensional, non-local, first-order, stationary mean-field games with congestion: a Fourier approach L Nurbekyan arXiv preprint arXiv:1703.03954, 2017 | 12 | 2017 |
One-dimensional forward–forward mean-field games DA Gomes, L Nurbekyan, M Sedjro Applied Mathematics & Optimization 74 (3), 619-642, 2016 | 11 | 2016 |
The variational structure and time-periodic solutions for mean-field games systems M Cirant, L Nurbekyan arXiv preprint arXiv:1804.08943, 2018 | 10 | 2018 |
A mean-field game economic growth model D Gomes, L Lafleche, L Nurbekyan 2016 American Control Conference (ACC), 4693-4698, 2016 | 10 | 2016 |
Radially symmetric mean-field games with congestion D Evangelista, DA Gomes, L Nurbekyan 2017 IEEE 56th Annual Conference on Decision and Control (CDC), 3158-3163, 2017 | 9 | 2017 |
On the minimizers of calculus of variations problems in Hilbert spaces D Gomes, L Nurbekyan Calculus of Variations and Partial Differential Equations 52 (1), 65-93, 2015 | 9 | 2015 |
Explicit solutions of one-dimensional first-order stationary mean-field games with a generic nonlinearity D Gomes, L Nurbekyan, M Prazeres Preprint, 2016 | 8 | 2016 |
On the stability of the polygonal isoperimetric inequality E Indrei, L Nurbekyan Advances in Mathematics 276, 62-86, 2015 | 8 | 2015 |
Fourier approximation methods for first-order nonlocal mean-field games L Nurbekyan Portugaliae Mathematica 75 (3), 367-396, 2019 | 6 | 2019 |
Existence of positive solutions for an approximation of stationary mean-field games N Almayouf, E Bachini, A Chapouto, R Ferreira, D Gomes, D Jordão, ... Involve, a Journal of Mathematics 10 (3), 473-493, 2016 | 5 | 2016 |
Computational methods for nonlocal mean field games with applications S Liu, M Jacobs, W Li, L Nurbekyan, SJ Osher arXiv preprint arXiv:2004.12210, 2020 | 3 | 2020 |
An infinite-dimensional weak KAM theory via random variables D Gomes, L Nurbekyan arXiv preprint arXiv:1508.00154, 2015 | 3 | 2015 |