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Theoretical location of optima via analysis techniques
Published:
22 December 2022
by MDPI
in MOL2NET'22, Conference on Molecular, Biomed., Comput. & Network Science and Engineering, 8th ed.
congress USE.DAT-08: USA-Europe Data Analysis Trends Congress, Cambridge, UK-Bilbao, Basque Country-Miami, USA, 2022.
Abstract:
In Hausdorff locally convex topological vector spaces, the Krein-Milman theorem allow us to describe compact convex sets as the closed convex hull of their extreme points. This coupled with measure-theoretic inequalities from the theory of probability, gives us a theoretical proof of where the optima of certain programs can be located. We aim to extend this results to abstract convexities in more general settings.
Keywords: krein-milman; convexity
