Exponential Integration of the Linear Assignment Flow

Abstract: We introduce the linear assignment flow as an approximation of the full nonlinear assignment flow, which is a method for contextual data labeling on arbitrary graphs. The linear assignment flow is a dynamical system evolving on the tangent space of a statistical manifold. It is numerically determined using exponential integrators and Krylov subspace approximation, for which we provide error estimates. The approximation property of the linear assignment flow is illustrated by a numerical experiment. This work is supplemented by two papers on variational modeling and unsupervised labeling [1].

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Exponential Integration of the Linear Assignment Flow ; volume:19 ; number:1 ; year:2019 ; extent:2
Proceedings in applied mathematics and mechanics ; 19, Heft 1 (2019) (gesamt 2)

DOI
10.1002/pamm.201900434
URN
urn:nbn:de:101:1-2022072208073303592283
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
15.08.2025, 07:24 MESZ

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