Understanding the impact of evaluation metrics in kinetic models for consensus-based segmentation
- Cabini, Raffaella Fiamma ORCID Euler Institute (EUL), Università della Svizzera italiana, Switzerland
- Tettamanti, Horacio Department of Mathematics “F. Casorati”, University of Pavia, Italy
- Zanella, Mattia Department of Mathematics “F. Casorati”, University of Pavia, Italy
- 2025
Published in:
- Entropy. - 2025, vol. 27, no. 2, p. 149
English
In this article, we extend a recently introduced kinetic model for consensus-based segmentation of images. In particular, we will interpret the set of pixels of a 2D image as an interacting particle system that evolves in time in view of a consensus-type process obtained by interactions between pixels and external noise. Thanks to a kinetic formulation of the introduced model, we derive the large time solution of the model. We will show that the parameters defining the segmentation task can be chosen from a plurality of loss functions that characterize the evaluation metrics.
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- Language
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- English
- Classification
- Mathematics
- License
- CC BY
- Open access status
- gold
- Identifiers
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- DOI 10.3390/e27020149
- ARK ark:/12658/srd1331832
- Persistent URL
- https://n2t.net/ark:/12658/srd1331832
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