Accepted – cmc.deusto.eus

Control of neural transport for normalizing flows

D. Ruiz-Balet, E. Zuazua. Control of neural transport for normalizing flows (2023) J. Math. Pures Appl. https://doi.org/10.48550/arXiv.2307.07817 Abstract. Inspired by normalizing flows, we analyze the bilinear control of neural transport…

Long-time convergence of a nonlocal Burgers’ equation towards the local N-wave

G.M. Coclite, De Nitti N., Zuazua E.. Long-time convergence of a nonlocal Burgers' equation towards the local N-wave (2023) CVGMT Abstract. We study the long-time behavior of the unique weak…

Control of certain parabolic models from biology and social sciences

Domènec Ruiz-Balet, , Enrique Zuazua. Control of certain parabolic models from biology and social sciences(2022) Math Control and Related Fields, Vol. 12, No. 4, pp 955-1038. doi: https://doi.org/10.3934/mcrf.2022032 Abstract. These…

Neural ODE Control for Classification, Approximation and Transport

data classification, deep learning, Neural ODEs, Optimal Transport, simultaneous control, transport equations, universal approximation, Wasserstein distance

Ruiz-Balet D., Zuazua E. Neural ODE Control for Classification, Approximation and Transport (2022). SIAM Review Abstract. We analyze Neural Ordinary Differential Equations (NODEs) from a control theoretical perspective to address…

Greedy search of optimal approximate solutions

M. Lazar, E. Zuazua. Greedy search of optimal approximate solutions (2022) Commun. Optim. Theory Abstract. In this paper we develop a procedure to deal with a family of parameter-dependent ill-posed…

Control of reaction-diffusion models in biology and social sciences

comparison principle, Constraints, Control, Mathematical biology, paths of steady-states, phase plane, Reaction-diffusion, traveling waves

Domènec Ruiz-Balet, Enrique Zuazua. Control of reaction-diffusion models in biology and social sciences (2022) Math. Control Relat. Fields Abstract. These lecture notes address the controllability under state constraints of reaction-diffusion equations…

Analysis and numerical solvability of backward-forward conservation laws

Thibault Liard, Enrique Zuazua. Analysis and numerical solvability of backward-forward conservation laws (2022) SIAM Journal on Mathematical Analysis Abstract. In this paper, we study the problem of initial data identification…

Constrained control of gene-flow models

bistable equations, Control, geneflow models, non-controllability, reaction-diffusion equations, spatial heterogeneity, staircase method

Mazari I., Ruiz-Balet D., Zuazua E. Constrained control of gene-flow models. (2021) Ann. Inst. Henri Poincare (C) Anal. Non Lineaire ⟨hal-02373668⟩ Abstract. In ecology and population dynamics, gene-flow refers to the…

Multilevel Selective Harmonic Modulation via Optimal Control

Umberto Biccari, Carlos Esteve-Yagüe, Deyviss Jesús Oroya-Villalta. Multilevel Selective Harmonic Modulation via Optimal Control. (2022) Applied Mathematics and Optimization Abstract. We consider the Selective Harmonic Modulation (SHM) problem, consisting in the…

Control of neural transport for normalizing flows

Long-time convergence of a nonlocal Burgers’ equation towards the local N-wave

Control of certain parabolic models from biology and social sciences

Neural ODE Control for Classification, Approximation and Transport

Greedy search of optimal approximate solutions

Control of reaction-diffusion models in biology and social sciences

Analysis and numerical solvability of backward-forward conservation laws

Constrained control of gene-flow models

Multilevel Selective Harmonic Modulation via Optimal Control

Control of neural transport for normalizing flows

A Two-Stage Numerical Approach for the Sparse Initial Source Identification of a Diffusion-Advection Equation

Gaussian Beam ansatz for finite difference wave equations

Long-time convergence of a nonlocal Burgers’ equation towards the local N-wave

Optimal design of sensors via geometric criteria