Abstract

The vertical collaborative clustering aims to unravel the hidden structure of data (similarity) among different sites, which will help data owners to make a smart decision without sharing actual data. For example, various hospitals located in different regions want to investigate the structure of common disease among people of different populations to identify latent causes without sharing actual data with other hospitals. Similarly, a chain of regional educational institutions wants to evaluate their students’ performance belonging to different regions based on common latent constructs. The available methods used for finding hidden structures are complicated and biased to perform collaboration in measuring similarity among multiple sites. This study proposes vertical collaborative clustering using a bit plane slicing approach (VCC-BPS), which is simple and unique with improved accuracy, manages collaboration among various data sites. The VCC-BPS transforms data from input space to code space, capturing maximum similarity locally and collaboratively at a particular bit plane. The findings of this study highlight the significance of those particular bits which fit the model in correctly classifying class labels locally and collaboratively. Thenceforth, the data owner appraises local and collaborative results to reach a better decision. The VCC-BPS is validated by Geyser, Skin and Iris datasets and its results are compared with the composite dataset. It is found that the VCC-BPS outperforms existing solutions with improved accuracy in term of purity and Davies-Boulding index to manage collaboration among different data sites. It also performs data compression by representing a large number of observations with a small number of data symbols.

Highlights

  • The proposed approach is termed as Vertical Collaborative Clustering using bit plane slicing (VCC-Bit Plane Slicing (BPS)), which performs collaboration among data sites where observations of similar code maps are associated with same class labels for common bit plane

  • The local and collaborative results are evaluated by purity and DB index. It presents the comparison of proposed approach (VCC-BPS) with existing approaches vertical collaborative clustering (VCC)-self-organizing mapping (SOM) [7] and VCC-generative topographic mapping (GTM) [9]

  • This paper presents vertical collaborative clustering using bit plane slicing to manage collaboration among different sites

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Summary

Methods

The prime reason for proposing vertical collaborative clustering using bit plane slicing, in addition to all benefits of using collaborative clustering, will enable a local data owner (e.g. business owners, government and private institutions, individuals, etc.) to find hidden structure in the process of implementing clustering techniques. The novelty of this approach is to capture similarity in local behavior but it qualifies for collaboration to apprehend similarity among different datasets concerning common code space. This learning demands an unbiased environment where data of the same nature at different sites performs vertical collaborative clustering based on the following assumptions:

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