Optimal Control theory and Inverse Problems are nowadays well consolidated research areas among Spanish mathematicians and there are several groups in Spain with wide experience in this topics, that form the Spanish Network on control and inverse problems and machine learning (COPI2A). The traditional topics of the network combine theoretical and numerical aspects of controllability, optimal control for ODEs and PDEs, topological optimization, robust design and inverse problems, together with modeling and applications in different areas. Recently, the mathematical analysis of machine learning techniques and their applications has attracted the attention of different members as a new challenging topic. In this session, researchers from different universities of this network will present their recent results in this field, covering analysis, numerical methods, computational issues, machine learning and applications.
Mini symposium organizer:
Carlos Castro (Universidad Politécnica de Madrid)

Session 1. Room A2, Tuesday 18:00-20:00.
Chair: Carlos Castro (Universidad Politécnica de Madrid)
Speakers:
Enrique Fernández-Cara (Universidad de Sevilla) Two results on the control of fluids
Francisco Guillén-González (Universidad de Sevilla) Some chemotaxis PDE-constrained optimal control problems. Analysis and approximation
Jone Apraiz (Universidad del Pais Vasco) Inverse problem for one-dimensional fluid-solid interaction model
Aurea M. Martínez Varela (Universidad de Vigo) Algae for bioenergy: An optimal control approach

Session 2. Room A2, Wednesday 11:30-13:30.
Chair: Anna Doubova (Universidad de Sevilla)
Speakers:
Lino J. Álvarez Vázquez (Universidad de Vigo) Optimizing the design of an ecological road corridor
Miguel E. Vázquez Méndez (Universidad de Santiago de Compostela) Mathematical programming for the geometric design of linear transport infrastructures
Alberto Domínguez Corella (University of Erlangen-Nuremberg) A random domain decomposition scheme for parabolic PDE constrained optimization problems
Francisco Periago Esparza (Universidad de Cartagena) Shape-programming in hyperelasticity through differential growth

Session 3. Room A2, Wednesday 17:30-19:30.
Chair: Lino J. Álvarez Vázquez (Universidad de Vigo)
Speakers:
Domènec Ruiz i Balet (Imperial College London) Matching ensembles of measures with Transformers
Jon Asier Bárcena-Petisco (Universidad del Pais Vasco) Optimal control for neural ODE in a long time horizon and applications to the classification and ensemble controllability problems
Nicolai Jork (University of T̈ubingen) Finite element error analysis of affine optimal control problems
Carlos Castro (Universidad Politécnica de Madrid) Numerical approximation of some inverse problems by spectral collocation