M7. Bayesian, Variational, and Optimization Techniques for Inverse Problems
in Stochastic Partial Differential Equations

In recent years, significant attention has been given to developing stochastic models and methods for inverse and control problems associated with stochastic and deterministic equations. Important applications motivate estimating stochastic parameters, source terms, or boundary conditions in stochastic partial differential equations. On the other hand, recent developments in machine learning and related subjects have advocated the utility of stochastic models not only for stochastic inverse problems but also for deterministic identification and control problems. This mini-symposium aims to bring together well-known experts and young researchers in the dynamic and expanding field of stochastic inverse problems.

The main topics include the Bayesian approach, variational and optimization techniques, stochastic approximation, stochastic gradient, neural networks, Kalman filter, and related methods aimed at studying inverse problems associated with stochastic partial differential equations.

Organizers:
Barbara Kaltenbacher, University of Klagenfurt, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Akhtar A. Khan, Rochester Institute of Technology, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Hans-Jörg Starkloff, Technische Universität Bergakademie Freiberg, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Christiane Tammer, Martin-Luther-University of Halle-Wittenberg, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers: 
Christian Aarset, University of Göttingen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Optimal experimental design for correlation data in aeroacoustics

Ghada Alobaidi, American University of Sharjah, UAE, This email address is being protected from spambots. You need JavaScript enabled to view it.
Stochastic dynamics of influenza infection: Qualitative analysis and numerical results

Olalekan Babaniyi, Rochester Institute of Technology, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Evaluating the accuracy of the posterior probability distribution in an elastic inverse problem

Annamaria Barbagallo, University of Naples Federico II (UNINA), Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
A control economic equilibrium problem via inverse stochastic variational inequalities

Simona Bérešová, Institute of Geonics, Czech Academy of Sciences, Czech Republic, This email address is being protected from spambots. You need JavaScript enabled to view it.
Sampling in Bayesian inversion accelerated by surrogate models

Martin Eigel, Weierstrass Institute, Berlin, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Generative modelling with tensor compressed HJB approximations

Daniel Gendin, University at Buffalo, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Uncertainty in inverse elasticity problems

Phuoc Truong Huynh, University of Klagenfurt, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Optimality of pulse energy for photoacoustic tomography

Baasansuren Jadamba, Rochester Institute of Technology, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Computational framework for a distributed parameter identification in PDEs

Akhtar A. Khan, Rochester Institute of Technology, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Identification of random parameters in stochastic variational inequalities

Taufiquar Khan, University of North Carolina at Charlotte, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Bayesian Inversion of absorption and scattering coefficients in DOT

Antonio Leaci, Università del Salento, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
Textured image restoration via symmetrised fractional variation

Jinlu Li, Shawnee State University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Frechet and Mordukhovich derivatives of the metric projection operator in Banach spaces

Pablo Pedregal, Universidad de Castilla-La Mancha, Spain, This email address is being protected from spambots. You need JavaScript enabled to view it.   
Inverse problems as a source for vector variational problems

Miguel Sama, Universidad Nacional de Educación a Distancia, Spain, This email address is being protected from spambots. You need JavaScript enabled to view it.
Uncertainty quantification in residential thermal models

Hans-Joerg Starkloff, TU Bergakademie Freiberg, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Stochastic elliptic inverse problems as abstract elliptic inverse problems

Christiane Tammer, Martin Luther University of Halle-Wittenberg, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Multiobjective approaches for optimization problems under uncertainty

Franco Tomarelli, Politecnico Di Milano, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
Variational approach to pure traction and Signorini problem between linear and finite elasticity