Martin Hernandez
Research output

Publications

Selected journal articles and preprints. The complete and updated publication record is available on Google Scholar.

2026
Mean-Field PhiBE: Continuous-Time Mean-Field Reinforcement Learning from Discrete-Time Data
E. Bayraktar, M. Hernandez, Q. Yan, Y. Zhu · Preprint
arXiv
2026
Policy Gradient for Continuous-Time Mean-Field Control
E. Bayraktar, M. Hernandez, Q. Yan, Y. Zhu · Preprint
arXiv
2026
Turnpike phenomenon for averaged optimal control
M. Hernandez, M. Lazar, S. Zamorano · Optimization
Paper
2026
Random domain decomposition for parabolic PDEs
M. Hernandez · To appear in SINUM
arXiv
2026
Random Batch Methods for PDE control on graphs
M. Hernandez, E. Zuazua · To appear in JCP
arXiv
2025
Mini-batch descent in semiflows
A. Dominguez Corella, M. Hernandez · ESAIM: COCV
Paper
2025
Convergence, design and training of continuous-time dropout as a random batch method
A. Alvarez-Lopez, M. Hernandez · Preprint
arXiv
2024
Constructive Universal Approximation and Finite Sample Memorization by Narrow Deep ReLU Networks
M. Hernandez, E. Zuazua · Preprint
arXiv
2024
Uniform Turnpike Property and Singular Limits
M. Hernandez, E. Zuazua · Acta Applicandae Mathematicae
Paper
2023
Averaged turnpike property for differential equations with random constant coefficients
M. Hernandez, R. Lecaros, S. Zamorano · Mathematical Control and Related Fields
Paper
Google Scholar