Michael Joswig, Klaus-Robert Müller
Marek Kaluba (TU)
01.01.2019 – 31.12.2020
For a given finite point set Tin Rdwe investigate methods to describe the convex hull conv(T) approximately by choosing another point set U subset Rdsuch that the resulting polytope P = conv(U) is sufficiently close. As an additional constraint we wish to bound the combinatorial complexity of P, e.g., given in terms of the total number of faces. This is motivated, e.g., by classification problems from machine learning.
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