Affiliations: [a] Université Paris-Saclay, UVSQ, DAVID; Department of Computer Science, Aberystwyth University, Aberystwyth, United Kingdom; LARODEC, Institut Supérieur de Gestion de Tunis, Tunis, Tunisia. [email protected] | [b] Department of Computer Science, Aberystwyth University, Aberystwyth, United Kingdom. [email protected]
Correspondence:
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Address for correspondence: Versailles Saint-Quentin-en-Yvelines University, 45 Avenue des Etats Unis, 78000 Versailles, France. This work is part of a project that has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 702527.
Abstract: In the context of big data, granular computing has recently been implemented by some mathematical tools, especially Rough Set Theory (RST). As a key topic of rough set theory, feature selection has been investigated to adapt the related granular concepts of RST to deal with large amounts of data, leading to the development of the distributed RST version. However, despite of its scalability, the distributed RST version faces a key challenge tied to the partitioning of the feature search space in the distributed environment while guaranteeing data dependency. Therefore, in this manuscript, we propose a new distributed RST version based on Locality Sensitive Hashing (LSH), named LSH-dRST, for big data feature selection. LSH-dRST uses LSH to match similar features into the same bucket and maps the generated buckets into partitions to enable the splitting of the universe in a more efficient way. More precisely, in this paper, we perform a detailed analysis of the performance of LSH-dRST by comparing it to the standard distributed RST version, which is based on a random partitioning of the universe. We demonstrate that our LSH-dRST is scalable when dealing with large amounts of data. We also demonstrate that LSH-dRST ensures the partitioning of the high dimensional feature search space in a more reliable way; hence better preserving data dependency in the distributed environment and ensuring a lower computational cost.
Keywords: Granular Computing, Rough Set Theory, Big Data, Feature Selection, Locality Sensitive Hashing, Distributed Processing
