Introduction to Inverse Problems

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Introduction to Inverse Problems Guillaume Bal 1 July 2, 2019 1 University of Chicago, Chicago, IL 60637; guillaumebal@uchicago.edu ii Contents 1 What is an Inverse Problem 1 1.1 Elements of an Inverse Problem . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.1 Injectivity and stability of the Measurement Operator . . . . . . . 2 1.1.2 Noise model and Prior model . . . . . . . . . . . . . . . . . . . . 3 1.1.3…

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