Ruiz-Balet D., Zuazua E. Neural ODE Control for Classification, Approximation and Transport (2021) Abstract. We analyze Neural Ordinary Differential Equations (NODEs) from a control theoretical…
View More Neural ODE Control for Classification, Approximation and TransportCategory: Publications
Publications from the Chair of Computational Mathematics
The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-Smooth Tracking Terms
M. Gugat, M. Schuster, E. Zuazua. The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-Smooth Tracking Terms, in “Stabilization of Distributed Parameter Systems:…
View More The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-Smooth Tracking TermsLarge-time asymptotics in deep learning
Esteve C., Geshkovski B., Pighin D., Zuazua E. Large-time asymptotics in deep learning (2021). hal-02912516 Abstract. It is by now well-known that practical deep supervised learning…
View More Large-time asymptotics in deep learningMultiplicity of solutions for fractional q(.)-Laplacian equations
Abita Rahmoune, Umberto Biccari. Multiplicity of solutions for fractional -Laplacian equations. (2021) Abstract. In this paper, we deal with the following elliptic type problem where is…
View More Multiplicity of solutions for fractional q(.)-Laplacian equationsMultilevel Selective Harmonic Modulation via Optimal Control
Deyviss Jesús Oroya-Villalta, Carlos Esteve-Yagüe Umberto Biccari. Multilevel Selective Harmonic Modulation via Optimal Control. (2021) Abstract. We consider the Selective Harmonic Modulation (SHM) problem, consisting in…
View More Multilevel Selective Harmonic Modulation via Optimal ControlModel predictive control with random batch methods for a guiding problem
Ko Dongnam, Zuazua Enrique. Model predictive control with random batch methods for a guiding problem (2021). Math. Models Methods Appl. Sci. Abstract. We model, simulate…
View More Model predictive control with random batch methods for a guiding problemLocal null controllability of a model system for strong interaction between internal solitary waves
Jon Asier Bárcena-Petisco, Sergio Guerrero and Ademir F. Pazoto. Local null controllability of a model system for strong interaction between internal solitary waves. Commun. Contemp.…
View More Local null controllability of a model system for strong interaction between internal solitary wavesControl and Deep Learning: Some connections
B. Geshkovski, E. Zuazua. Control and Deep Learning: Some connections (2021) This note is an extended abstract for a talk given by the second author…
View More Control and Deep Learning: Some connectionsSparse approximation in learning via neural ODEs
Esteve C., Geshkovski B. Sparse approximation in learning via neural ODEs (2021) Abstract. We consider the continuous-time, neural ordinary differential equation (neural ODE) perspective of deep…
View More Sparse approximation in learning via neural ODEsControllability of one-dimensional viscous free boundary flows
B. Geshkovski, E. Zuazua. Controllability of one-dimensional viscous free boundary flows. Siam. J. Control. Optim. (2021) Abstract. In this work, we address the local controllability of…
View More Controllability of one-dimensional viscous free boundary flows