New Ideas in Computational Inverse Problems (22w5118)


(New Jersey Institute of Technology)

Yoonsang Lee (Dartmouth)

Kui Ren (Columbia University)

(New York University)


The Banff International Research Station will host the "New Ideas in Computational Inverse Problems" workshop in Banff from October 23 - 28, 2022.

Observational data is used by scientists and engineers to discover things that cannot be seen directly, for example, medical imaging to detect a brain tumor or seismic data to learn about the earth’s subsurface layers. The mathematical theory of inverse problems guides the interpretation of these data by linking observables to predictions. This theory has produced powerful mathematical results that have advanced the state-of-the art in a spectrum of problems ranging from small scale (detecting degenerate epithelial cells in eye MRI) to large scale (finding faults in the earth from seismic imaging). Mathematical and computational modeling play an important role in every aspect of inversion, from how the data is collected to the process of matching data to predictions.

Rapidly emerging technologies pose new challenges that urgently call for the development of new mathematical and computational tools for inverse problems. One main challenge is learning highly detailed information that may be hard to find (e.g., cracks in geophysics, edges in imaging, breaking solitons in waves). Another challenge often seen in practice is limited data, for example, weather data measured mainly over land versus the ocean. The workshop brings together leading experts in applied mathematics and related fields and cover recent developments and core applications in geoscience, medical imaging, and machine learning. Participants will share research problems and working code that will be discussed in evening problem-solving sessions. The workshop includes young mathematicians (recent PhDs and advanced graduate students).

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).