arXiv Machine Learning By Antonia van Betteray, Jonathan Klees, Miriam Sch\"afers, Matthias Rottmann

Algebraic Multigrid Acceleration for Efficient Label Spreading

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The paper introduces AMELS, an Algebraic Multigrid Acceleration framework for label spreading that speeds up the construction of neighborhood graphs and replaces the standard random walk iteration with an algebraic multigrid solver. By leveraging the multilevel nature of multigrid, AMELS can propagate label information across graphs of any size in a single cycle, achieving substantial runtime reductions and improved robustness to hyperparameter choices. The method enables efficient and accurate label spreading on large‑scale image datasets even when only a few labeled samples are available.

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