Inverse problems involve the task of deducing, from observed data, the priorly unknown causal factors that contributed to the data. They are ubiquitous in science and technology, with applications ranging from medical imaging to engineering, as in nondestructive evaluation, to geophysical prospections, just to name a few examples. Mathematically speaking, it entails determining information on a PDE by collecting measurements associated with its solutions. For the applications, it is crucial to have a deep theoretical understanding of inverse problems as well as reliable and efficient numerical reconstruction methods. Both these issues are mathematically very challenging, due to the fact that inverse problems are often nonlinear and ill-posed.
Our special session will focus on key aspects of inverse problems including uniqueness and stability issues as well as reconstruction methods. We will also explore the integration of machine learning tools in this field. We bring together a balanced mix of leading experts in the field and emerging researchers at the Ph.D. or postdoc level. To foster and strengthen the cooperation between the US and Italian inverse problems communities, both groups are well represented in our session.
| 11:30–12:15 | Shari Moskow (Drexel University, USA) | |
| Reduced order models and the Lippmann Schwinger Lanczos method in inverse scattering | ||
| 12:30–12:50 | Sonia Foschiatti (University of Trieste, Italy) | |
| Stability for two Coefficient Identification Problems | ||
| 14:30–14:50 | Giovanni Covi (University of Helsinki, Finland) | |
| Nonlocality in inverse problems | ||
| 15:00–15:20 | Suman Sahoo (ETH Zurich, Switzerland) | |
| Inverse Problems For Third-Order Nonlinear Perturbations Of Biharmonic Operators | ||
| 15:30–16:15 | Romina Gaburro (University of Limerick, Ireland) | |
| The stability issue in inverse problems | ||
| 17:00–17:20 | Alessandro Felisi (University of Genoa, Italy) | |
| Full discretization and regularization for the Calderón problem | ||
| 17:30–18:15 | Anna Mazzucato (Penn State University, USA) | |
| An inverse problem in monitoring of faults |
| 11:30–11:50 | Andrea Sebastiani (University of Modena and Reggio Emilia, Italy) | |
| Learned regularization by denoising for Limited-Angle Computed Tomography | ||
| 12:00–12:45 | Matteo Santacesaria (University of Genoa, Italy) | |
| Compressed sensing for the sparse Radon transform | ||
| 14:30–15:15 | Dmitry Ponomarev (Centre Inria d’Université Côte d’Azur, France) | |
| Inverse magnetisation problem in paleomagnetic context | ||
| 15:30–16:15 | Elena Beretta (New York University Abu Dhabi, UAE) | |
| Mathematical analysis of an inverse problem arising in a model of prostate cancer growth | ||
| 17:00–17:20 | Doosung Choi (Louisiana State University, USA) | |
| Shape reconstruction for a planar conductivity inclusion | ||
| 17:30–18:15 | Gunther Uhlmann (University of Washington, USA, and HKUST, Hong Kong, China) | |
| The anisotropic fractional Calderón problem |