3 papers
math.OC2026
Data-Driven Modeling of a Controlled Orthotropic Plate Using Machine Learning
Yongho Kim, Alexander Zuyev, Francesco Pellicano +1
We study the problem of learning the input-output map of a controlled vibrating plate with a composite structure from experimental measurements. Analytical modeling of this control…
math.OC2024
Deep polytopic autoencoders for low-dimensional linear parameter-varying approximations and nonlinear feedback design
Jan Heiland, Yongho Kim, Steffen W. R. Werner
Polytopic autoencoders provide low-di\-men\-sion\-al parametrizations of states in a polytope. For nonlinear PDEs, this is readily applied to low-dimensional linear parameter-varyi…
cs.LG2024
Polytopic Autoencoders with Smooth Clustering for Reduced-order Modelling of Flows
Jan Heiland, Yongho Kim
With the advancement of neural networks, there has been a notable increase, both in terms of quantity and variety, in research publications concerning the application of autoencode…