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Levon Nurbekyan
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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
265*2020
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
2022020
Economic models and mean-field games theory
DA Gomes, L Nurbekyan, EA Pimentel
Publicaoes Matematicas, IMPA, Rio, Brazil, 2015
1022015
Alternating the population and control neural networks to solve high-dimensional stochastic mean-field games
AT Lin, SW Fung, W Li, L Nurbekyan, SJ Osher
Proceedings of the National Academy of Sciences 118 (31), e2024713118, 2021
96*2021
One-dimensional stationary mean-field games with local coupling
DA Gomes, L Nurbekyan, M Prazeres
Dynamic Games and Applications 8, 315-351, 2018
582018
A neural network approach for high-dimensional optimal control applied to multiagent path finding
D Onken, L Nurbekyan, X Li, SW Fung, S Osher, L Ruthotto
IEEE Transactions on Control Systems Technology 31 (1), 235-251, 2022
462022
Computational methods for first-order nonlocal mean field games with applications
S Liu, M Jacobs, W Li, L Nurbekyan, SJ Osher
SIAM Journal on Numerical Analysis 59 (5), 2639-2668, 2021
41*2021
A neural network approach applied to multi-agent optimal control
D Onken, L Nurbekyan, X Li, SW Fung, S Osher, L Ruthotto
2021 European Control Conference (ECC), 1036-1041, 2021
302021
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
282016
First-order, stationary mean-field games with congestion
D Evangelista, R Ferreira, DA Gomes, L Nurbekyan, V Voskanyan
Nonlinear Analysis 173, 37-74, 2018
272018
Fourier approximation methods for first-order nonlocal mean-field games
L Nurbekyan, J Sa˙de
Portugaliae Mathematica 75 (3), 367-396, 2019
262019
The variational structure and time-periodic solutions for mean-field games systems
M Cirant, L Nurbekyan
arXiv preprint arXiv:1804.08943, 2018
242018
Efficient natural gradient descent methods for large-scale PDE-based optimization problems
L Nurbekyan, W Lei, Y Yang
SIAM Journal on Scientific Computing 45 (4), A1621-A1655, 2023
212023
One-dimensional forward–forward mean-field games
DA Gomes, L Nurbekyan, M Sedjro
Applied Mathematics & Optimization 74, 619-642, 2016
212016
A mean-field game economic growth model
D Gomes, L Lafleche, L Nurbekyan
2016 American Control Conference (ACC), 4693-4698, 2016
212016
A numerical algorithm for inverse problem from partial boundary measurement arising from mean field game problem
YT Chow, SW Fung, S Liu, L Nurbekyan, S Osher
Inverse Problems 39 (1), 014001, 2022
192022
One-dimensional, non-local, first-order, stationary mean-field games with congestion: a Fourier approach
L Nurbekyan
arXiv preprint arXiv:1703.03954, 2017
162017
On the stability of the polygonal isoperimetric inequality
E Indrei, L Nurbekyan
Advances in Mathematics 276, 62-86, 2015
162015
Splitting methods for a class of non-potential mean field games
S Liu, L Nurbekyan
arXiv preprint arXiv:2007.00099, 2020
152020
Optimal transport for parameter identification of chaotic dynamics via invariant measures
Y Yang, L Nurbekyan, E Negrini, R Martin, M Pasha
SIAM Journal on Applied Dynamical Systems 22 (1), 269-310, 2023
122023
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