Adaptive edge weighting for graph-based learning algorithms
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Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2017
Department
Major/Subject
Mcode
Degree programme
Language
en
Pages
307-335
Series
Machine Learning, Volume 106, issue 2
Abstract
Graph-based learning algorithms including label propagation and spectral clustering are known as the effective state-of-the-art algorithms for a variety of tasks in machine learning applications. Given input data, i.e. feature vectors, graph-based methods typically proceed with the following three steps: (1) generating graph edges, (2) estimating edge weights and (3) running a graph based algorithm. The first and second steps are difficult, especially when there are only a few (or no) labeled instances, while they are important because the performance of graph-based methods heavily depends on the quality of the input graph. For the second step of the three-step procedure, we propose a new method, which optimizes edge weights through a local linear reconstruction error minimization under a constraint that edges are parameterized by a similarity function of node pairs. As a result our generated graph can capture the manifold structure of the input data, where each edge represents similarity of each node pair. To further justify this approach, we also provide analytical considerations for our formulation such as an interpretation as a cross-validation of a propagation model in the feature space, and an error analysis based on a low dimensional manifold model. Experimental results demonstrated the effectiveness of our adaptive edge weighting strategy both in synthetic and real datasets.Description
Keywords
Clustering, Edge weighting, Graph-based learning, Manifold assumption, Semi-supervised learning
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Citation
Karasuyama, M & Mamitsuka, H 2017, ' Adaptive edge weighting for graph-based learning algorithms ', Machine Learning, vol. 106, no. 2, pp. 307-335 . https://doi.org/10.1007/s10994-016-5607-3
