School “INVERSE PROBLEMS”

Sergei Pereverzev:

Lecture 1: Brief Introduction to Machine Learning.
Lecture 2: Learning in Reproducing Kernel Hilbert Spaces and its
Regularization.
Lecture 3: Adaptation strategies in Learning.
Lecture 4: Some applications in Biomedicine: (a) Prediction of Nocturnal
Hypoglycemia, (b) Prediction of Neurodevelopmental Outcomes of Preterm Neonates.

Maxim Shishlenin:

1. Definitions and Examples of Inverse and Ill-Posed Problems.
2. Inverse problems for hyperbolic equations.
3. Gelfand-Levitan-Krein method.
4. Coefficient inverse problems for parabolic equations. Applications to
Medicine and Finance.

Jijun Liu:
Lecture 1: Backgrounds to Inverse and Ill-posed Problems.
Lecture 2: Regularization for Linear Ill-posed Problems.
Lecture 3: Conditional Stability and Choice Strategy for Regularizing
Parameters.
Lecture 4: Applications of Linear Ill-posed Problems.