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Solving inverse problems with Bayes' theorem
[SNAP-2022-006-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2022-09-05)
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 ...
Emergence in biology and social sciences
[SNAP-2022-001-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2022-03-31)
Mathematics is the key to linking scientific knowledge at different scales: from microscopic to macroscopic dynamics. This link gives us understanding on the emergence of observable patterns like flocking of birds, leaf ...
Characterizations of intrinsic volumes on convex bodies and convex functions
[SNAP-2022-011-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2022-12-08)
If we want to express the size of a two-dimensional shape with a number, then we usually think about its area or circumference. But what makes these quantities so special? We give an answer to this question in terms of ...