EF1 – Extracting Dynamical Laws from Complex Data

Project

EF1-3

Approximate Convex Hulls With Bounded Complexity

Project Heads

Michael Joswig, Klaus-Robert Müller

Project Members

Marek Kaluba (TU) 

Project Duration

01.01.2019 – 31.12.2020

Located at

TU Berlin

Description

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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