This is a webpage for the course “Topics in Inverse Problems”, given by Dr. Dmitry Batenkov.
Lecture notes Spring 2020
- Introduction
- Well-posed and ill-posed problems
- Regularization
- From theory to practice
- Fourier analysis
- Introduction to super-resolution
- Stable analytic continuation
- Non-smooth problems
- Algebraic singularity detection
- Super-resolution with sparsity constraints:
- existence and uniqueness
- stability: part 1, part 2, part 3
- Summary