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Network Sparsification via Degree- and Subgraph-based Edge Sampling

Authors
/persons/resource/zhen.su

Su,  Zhen
Potsdam Institute for Climate Impact Research;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

Meyerhenke,  Henning
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引用

Su, Z., Kurths, J., & Meyerhenke, H. (2023). Network Sparsification via Degree- and Subgraph-based Edge Sampling. In J., An, C., Charalampo, & W., Magdy (Eds.), Proceedings of the 2022 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining, ASONAM 2022 (pp. 9-16). Piscataway, NJ: Institute of Electrical and Electronics Engineers. doi:10.1109/ASONAM55673.2022.10068651.


引用: https://publications.pik-potsdam.de/pubman/item/item_28712
要旨
Network (or graph) sparsification compresses a graph by removing inessential edges. By reducing the data volume, it accelerates or even facilitates many downstream analyses. Still, the accuracy of many sparsification methods, with filtering-based edge sampling being the most typical one, heavily relies on an appropriate definition of edge importance. Instead, we propose a different perspective with a generalized local-property-based sampling method, which preserves (scaled) local node characteristics. Apart from degrees, these local node characteristics we use are the expected (scaled) number of wedges and triangles a node belongs to. Through such a preservation, main complex structural properties are preserved implicitly. We adapt a game-theoretic framework from uncertain graph sampling by including a threshold for faster convergence (at least 4 times faster empirically) to approximate solutions. Extensive experimental studies on functional climate networks show the effectiveness of this method in preserving macroscopic to meso-scopic and microscopic network structural properties.