Watersheds on Hypergraphs for Data Clustering

Abstract : We present a novel extension of watershed cuts to hyper-graphs, allowing the clustering of data represented as an hypergraph, in the context of data sciences. Contrarily to the methods in the literature , instances of data are not represented as nodes, but as edges of the hypergraph. The properties associated with each instance are used to define nodes and feature vectors associated to the edges. This rich representation is unexplored and leads to a data clustering algorithm that considers the induced topology and data similarity concomitantly. We illustrate the capabilities of our method considering a dataset of movies, demonstrating that knowledge from mathematical morphology can be used beyond image processing, for the visual analytics of network data. More results, the data, and the source code used in this work are available at https://github.com/015988/hypershed.
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Angulo, J.; Velasco-Forero, S.; Meyer, F. ISMM 2017 - 13th International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing, May 2017, Fontainebleau, France. Springer, Mathematical Morphology and Its Applications to Signal and Image Processing, 10225, pp.211-221, 2017, Lecture Note In Computer Sciences. 〈10.1007/978-3-319-57240-6_17〉
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Fabio Dias, Moussa Mansour, Paola Valdivia, Jean Cousty, Laurent Najman. Watersheds on Hypergraphs for Data Clustering. Angulo, J.; Velasco-Forero, S.; Meyer, F. ISMM 2017 - 13th International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing, May 2017, Fontainebleau, France. Springer, Mathematical Morphology and Its Applications to Signal and Image Processing, 10225, pp.211-221, 2017, Lecture Note In Computer Sciences. 〈10.1007/978-3-319-57240-6_17〉. 〈hal-01592155〉

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