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Graph based semi-supervised learning using spatial segregation theory

delete2023-12-01
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F
Farid Bozorgnia *
M
Morteza Fotouhi
A
Avetik Arakelyan
A
Abderrahim Elmoataz
DOI:10.1016/j.jocs.2023.102153delete
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摘要

摘要

En 中文
In this work, we address graph based semi-supervised learning using the theory of the spatial segregation of competitive systems. First, we define a discrete counterpart over connected graphs by using direct analogue of the corresponding competitive system. This model turns out does not have a unique solution as we expected. Nevertheless, we suggest gradient projected and regularization methods to reach some of the solutions. Then we focus on a slightly different model motivated from the recent numerical results on the spatial segregation of reaction-diffusion systems. In this case we show that the model has a unique solution and propose a novel classification algorithm based on it. Finally, we present numerical experiments showing the method is efficient and comparable to other semi-supervised learning algorithms at high and low label rates.
Keyword:
Free boundary
Semi-supervised learning
Laplace learning
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Nature Computational Science 封面图
Nature Computational Science
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被引数:
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universidade de lisboa
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institute of mathematics - nas ra
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Sharif University of Technology
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National Academy of Sciences of Armenia
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