Data reconstruction with information granules: An augmented method of fuzzy clustering |
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Affiliation: | 1. Department of Electrical & Computer Engineering, University of Alberta, Edmonton, AB T6R 2V4, Canada;2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland;3. Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China |
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Abstract: | Information granules form an abstract and efficient characterization of large volumes of numeric data. Fuzzy clustering is a commonly encountered information granulation approach. A reconstruction (degranulation) is about decoding information granules into numeric data. In this study, to enhance quality of reconstruction, we augment the generic data reconstruction approach by introducing a transformation mapping of the originally produced partition matrix and setting up an adjustment mechanism modifying a localization of the prototypes. We engage several population-based search algorithms to optimize interaction matrices and prototypes. A series of experimental results dealing with both synthetic and publicly available data sets are reported to show the enhancement of the data reconstruction performance provided by the proposed method. |
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Keywords: | Information granulation Fuzzy clustering Granular computing Granulation-degranulation Fuzzy C-means Data reconstruction |
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