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Authors: Cristina Garcia-Cardona 1 ; Arjuna Flenner 2 and Allon G. Percus 1

Affiliations: 1 Claremont Graduate University, United States ; 2 Naval Air Warfare Center, United States

Keyword(s): Graph Segmentation, Diffuse Interfaces, Learning on Graphs.

Related Ontology Subjects/Areas/Topics: Classification ; Clustering ; Graphical and Graph-Based Models ; Pattern Recognition ; Theory and Methods

Abstract: We present a graph-based variational algorithm for multiclass classification of high-dimensional data, motivated by total variation techniques. The energy functional is based on a diffuse interface model with a periodic potential. We augment the model by introducing an alternative measure of smoothness that preserves symmetry among the class labels. Through this modification of the standard Laplacian, we construct an efficient multiclass method that allows for sharp transitions between classes. The experimental results demonstrate that our approach is competitive with the state of the art among other graph-based algorithms.

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Paper citation in several formats:
Garcia-Cardona, C.; Flenner, A. and G. Percus, A. (2013). Multiclass Diffuse Interface Models for Semi-supervised Learning on Graphs. In Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - ICPRAM; ISBN 978-989-8565-41-9; ISSN 2184-4313, SciTePress, pages 78-86. DOI: 10.5220/0004268100780086

@conference{icpram13,
author={Cristina Garcia{-}Cardona. and Arjuna Flenner. and Allon {G. Percus}.},
title={Multiclass Diffuse Interface Models for Semi-supervised Learning on Graphs},
booktitle={Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - ICPRAM},
year={2013},
pages={78-86},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004268100780086},
isbn={978-989-8565-41-9},
issn={2184-4313},
}

TY - CONF

JO - Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - ICPRAM
TI - Multiclass Diffuse Interface Models for Semi-supervised Learning on Graphs
SN - 978-989-8565-41-9
IS - 2184-4313
AU - Garcia-Cardona, C.
AU - Flenner, A.
AU - G. Percus, A.
PY - 2013
SP - 78
EP - 86
DO - 10.5220/0004268100780086
PB - SciTePress

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