(Should you need a published version, please contact me.)
| 10. | A mathematical perspective on Transformers
with Cyril Letrouit, Yury Polyanskiy and Philippe Rigollet preprint, 2023 arXiv, GitHub |
|
| 9. | The emergence of clusters in self-attention dynamics
with Cyril Letrouit, Yury Polyanskiy and Philippe Rigollet NeurIPS, 2023 arXiv, GitHub |
|
| 8. | Control of the Stefan problem in a periodic box
with Debayan Maity Mathematical Models and Methods in Applied Sciences, 2023 arXiv, GitHub |
|
| 7. | Turnpike in optimal control of PDEs, ResNets, and beyond
with Enrique Zuazua Acta Numerica, 2022 arXiv, GitHub |
|
| 6. | Optimal controller design via Brunovsky's normal form
with Enrique Zuazua IEEE Transactions on Automatic Control, 2023 arXiv, GitHub |
|
| 5. | Sparsity in long-time control of neural ODEs
with Carlos Esteve Systems & Control Letters, 2023 arXiv, GitHub |
|
| 4. | Turnpike in Lipschitz-nonlinear optimal control
with Carlos Esteve, Dario Pighin and Enrique Zuazua Nonlinearity, 2022 arXiv, GitHub |
|
| 3. | Large-time asymptotics in deep learning
with Carlos Esteve, Dario Pighin and Enrique Zuazua preprint, 2021 arXiv, GitHub |
|
| 2. | Controllability of one-dimensional viscous free boundary flows
with Enrique Zuazua SIAM Journal on Control and Optimization, 2021 arXiv |
|
| 1. | Null-controllability of perturbed porous medium gas flow
ESAIM Control, Optimisation and Calculus of Variations, 2020 arXiv |
Theses
T1. Control in moving interfaces and deep learning
Ph.D. Thesis
Universidad Autónoma de Madrid, 2021
(For some reason, the version of my thesis published on the UAM library webpage contains
formatting errors that were not caused by me.)
T2. Obstacle problems: theory and applications
M.Sc. Thesis
Université de Bordeaux, 2018