Solving inverse problems with Bayes’ theorem

Snapshots of modern mathematics from Oberwolfach

Solving inverse problems with Bayes’ theorem

The goal of inverse problems is to find an unknown parameter based on noisy data. Such problems appear in a wide range of applications including geophysics, medicine, and chemistry. One method of solving them is known as the Bayesian approach. In this approach, the unknown parameter is modelled as a random variable to reflect its uncertain value. Bayes’ theorem is applied to update our knowledge given new information from noisy data.

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Mathematical subjects

Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics

Author(s)

Jonas Latz, Björn Sprungk

License

DOI (Digital Object Identifier)

10.14760/SNAP-2022-006-EN

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snapshot-2022-006.pdf

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snapshots: overview

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Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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