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Applied Analysis Group

Research in applied mathematics

Topics in Inverse Problems

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

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