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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
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DOI (Digital Object Identifier)
10.14760/SNAP-2022-006-EN
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snapshots: overview
Mathematical subjects

Algebra and Number Theory

Analysis

Didactics and Education

Discrete Mathematics and Foundations

Geometry and Topology

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

Reflections on Mathematics