Turnpike in optimal control and beyond: a survey

E. Trélat, E. Zuazua (2025)Turnpike in optimal control and beyond: a survey https://hal.science/hal-05002039 Abstract. The turnpike principle is a fundamental ...

Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: An algorithmic approach

T. Crin-Barat, L. Liverani, Ly Shou, E. Zuazua (2025)Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: An algorithmic approach https://arxiv.org/abs/2503.00236 ...

Pointwise constraints for scalar conservation laws with positive wave velocity

N. De Nitti, D. Serre, E. Zuazua (2025) Pointwise constraints for scalar conservation laws with positive wave velocity Abstract. We ...

Gaussian Beam ansatz for finite difference wave equations

U. Biccari, E. Zuazua (2025) Gaussian Beam ansatz for finite difference wave equations, Found Comput Math. , Vol. 25, pp ...

Representation and Regression Problems in Neural Networks: Relaxation, Generalization, and Numerics

K. Liu, E. Zuazua (2025) Representation and Regression Problems in Neural Networks: Relaxation, Generalization, and Numerics Math. Models Methods Appl ...

Exact Sequence Classification with Hardmax Transformers

A. Alcalde Zafra, G. Fantuzzi, E. Zuazua (2025)Exact Sequence Classification with Hardmax Transformers Abstract. We prove that hardmax attention transformers ...

On the decay of one-dimensional locally and partially dissipated and hyperbolic systems

Crin-Barat T., De Nitti N., Zuazua E. (2025) On the decay of one-dimensional locally and partially dissipated and hyperbolic systems, ...

Control of Hyperbolic and Parabolic Equations on Networks and Singular limits

J.A. Bárcena-Petisco, M. Cavalcante, G.M. Coclite, N. de Nitti, E. Zuazua (2025) Control of Hyperbolic and Parabolic Equations on Networks ...

FedADMM-InSa: An Inexact and Self-Adaptive ADMM for Federated Learning

Y. Song, Z. Wang, E. Zuazua (2025)FedADMM-InSa: An Inexact and Self-Adaptive ADMM for Federated Learning, Neural Networks, pp. 106-772, ISSN ...

Optimal L^p-approximation of convex sets by convex subsets

F. Zakaria, I. Ftouhi, E. Zuazua (2025)Optimal L^p-approximation of convex sets by convex subsets Abstract. Given a convex set Ω ...

Tracking controllability for the heat equation

J.A. Barcena-Petisco, E. Zuazua (2025) Tracking controllability for the heat equation, IEEE Trans. Autom. Control Abstract. We study the tracking ...

Universal Approximation of Dynamical Systems by Semi-Autonomous Neural ODEs and Applications

Z. Li, K. Liu, L. Liverani, E. Zuazua (2025)Universal Approximation of Dynamical Systems by Semi-Autonomous Neural ODEs and Applications Abstract ...

Boundary sidewise observability of the wave equation

B. Dehman, E. Zuazua (2025) Boundary sidewise observability of the wave equation J. Eur. Math. Soc. (JEMS) Abstract. The wave ...