M19. Reconstruction Methods for Inverse Problems and Related Studies

In the last 45 years or so, many well-known non-iterative reconstruction methods have been proposed. They are, for example, the potential method, point source method, orthogonality or direct sampling method, linear sampling method, factorization method, probe method, singular sources method, range test method, enclosure method, polarization moment tensors method, monotonicity method, boundary control method, topological derivative method, It should be remarked that the regularization theory and field reconstruction theory played some important roles behind these methods. Now, some of these reconstruction methods are combined with machine learning for their further applications. Also, for an unknown target parametrized by a finite number of parameters, it has been shown rather recently that the regularization theory can be effectively applied if this inverse problem has the Lipschitz stability estimate.

Concerning these situations, it is a good occasion to discuss important problems to be solved and further development of reconstruction methods based on broad perspectives in this mini-symposium. In order to make the discussions effective, we will invite experts on modeling and numerical analysis related to inverse problems.

Organizers:
Maarten V. de Hoop, Rice University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.                                        
Mikyoung Lim, Korean Advanced Institute of Science and Technology, Korea, This email address is being protected from spambots. You need JavaScript enabled to view it.
Gen Nakamura, Hokkaido University, Japan, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers:
Andrea Aspri, Università degli Studi di Milano Statale, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
Lipschitz stability in determining polyhedral inclusions from local boundary data

Viet Ha Hoang, Nanyang Technological University, Singapore, This email address is being protected from spambots. You need JavaScript enabled to view it.
Bayesian inversion of eikonal equation

Atsuhide Ishida, Tokyo University of Science, Japan, This email address is being protected from spambots. You need JavaScript enabled to view it.
On inverse scattering for time-decaying harmonic and repulsive potentials

Sangwoo Kang, Pusan National Uniersity, Republic of Korea, This email address is being protected from spambots. You need JavaScript enabled to view it.
Asymptotic analysis of the MUSIC algorithm for three-dimensional electromagnetic scattering by small dielectric inclusions

Mandeep Kumar, Indian Institute of Technology, Ropar, India, This email address is being protected from spambots. You need JavaScript enabled to view it.
Reconstruction of potential and damping coefficients in a semi-linear wave equation

Hyeuknam Kwon, Yonsei University, Republic of Korea This email address is being protected from spambots. You need JavaScript enabled to view it.
AI and Numerical Methods for Inverse Problems in EIT

Mikyoung Lim, Korea Advanced Institute of Science and Technology (KAIST), Republic of Korea, This email address is being protected from spambots. You need JavaScript enabled to view it.
Construction of neutral inclusions with imperfect interfaces using conformal mapping

Satoshi Masaki, Hokkaido University, Japan, This email address is being protected from spambots. You need JavaScript enabled to view it.
On an inverse problem for NLS equation

Sunghwan Moon, Kyungpook National University, Republic of Korea, This email address is being protected from spambots. You need JavaScript enabled to view it.
Photoacoustic tomography with time-dependent damping: Theoretical and a convolutional neural network-guided numerical inversion procedure

Hisashi Morioka, Ehime University, Japan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Visibility of resonances and invisibility of eigenvalues via scattered waves for tunable quantum walks

Gen Nakamura, Hokkaido University, Japan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Spectral inversion analysis for clustered eigenvalues

Won-Kwang Park, Kookmin University, Korea, This email address is being protected from spambots. You need JavaScript enabled to view it.
Fast localization of unknown objects from two-dimensional Fresnel experimental dataset

Shiwei Sun, The Hong Kong University of Science and Technology, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
Domain sampling methods for an inverse boundary value problem of the heat equation