A+ CATEGORY SCIENTIFIC UNIT

Data clustering as an emergent consensus of autonomous agents

Piotr Minakowski, Jan Peszek Applicationes Mathematicae MSC: Primary 94A08; Secondary 91D30, 68P05 DOI: 10.4064/am2507-2-2025 Published online: 19 May 2025

Abstract

We present a data segmentation method based on a first-order density-induced consensus protocol. We provide a mathematically rigorous analysis of the consensus model leading to stopping criteria of the data segmentation algorithm. To illustrate our method, the algorithm is applied to two-dimensional shape datasets and selected images from Berkeley Segmentation Dataset. The method can be seen as an augmentation of classical clustering techniques for multimodal feature space, such as DBSCAN. It showcases a curious connection between data clustering and collective behavior.

Authors

  • Piotr MinakowskiInstitute of Analysis and Numerics
    Otto von Guericke University Magdeburg
    39106 Magdeburg, Germany
    e-mail
  • Jan PeszekInstitute of Applied Mathematics
    and Mechanics
    University of Warsaw
    02-097 Warszawa, Poland
    e-mail

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