simultaneous control – cmc.deusto.eus

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 (2023), SIAM Review, Vol. 65, No. 3, pp. 735-773, https://doi.org/10.1137/21M1411433 Abstract. We analyze Neural Ordinary Differential Equations (NODEs)…

Control and Numerical approximation of Fractional Diffusion Equations

Exterior Control, Finite Element Method, Fractional diffusion equation, Fractional Laplacian, Interior Control, Numerical approximation, simultaneous control

Umberto Biccari, Mahamadi Warma, Enrique Zuazua. Control and Numerical approximation of Fractional Diffusion Equations (2022) Handb. Numer. Anal. Elsevier. ISSN:1570-8659, DOI: https://doi.org/10.1016/bs.hna.2021.12.001 Abstract. The aim of this work is to give…

Neural ODE Control for Classification, Approximation and Transport

Control and Numerical approximation of Fractional Diffusion Equations

An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound

Averaged turnpike property for differential equations with random constant coefficients. Mathematical Control and Related Fields

Boundary Controllability for the 1D Moore-Gibson-Thompson equation

Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation

Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions