Mathematics of Inverse Problems and Imaging
This course will discuss fundamental mathematical issues behind many problems in tomography and imaging, including medical imaging, geometrical inverse problems, inverse scattering, and Bayesian inversion and machine learning.
Lecture notes and reading material will be provided throught the course
No formal prerequisites, but the course assumes a solid foundation in real analysis (at least 640:411, 640:412 and preferably 640:501), and basic knowledge of partial differential equations. Introductory functional analysis is valuable but not required.