How to characterize imprecision in multi-view clustering?
This work addresses a specific challenge in multi-view clustering for data analysis, offering an incremental improvement by extending evidential c-means to handle imprecision.
The paper tackles the problem of clustering multi-view data by addressing the inability of existing methods to characterize imprecision in overlapping regions, proposing MvLRECM which allows objects to belong to multiple clusters or meta-clusters, and demonstrates effectiveness on toy and UCI datasets compared to state-of-the-art methods.
It is still challenging to cluster multi-view data since existing methods can only assign an object to a specific (singleton) cluster when combining different view information. As a result, it fails to characterize imprecision of objects in overlapping regions of different clusters, thus leading to a high risk of errors. In this paper, we thereby want to answer the question: how to characterize imprecision in multi-view clustering? Correspondingly, we propose a multi-view low-rank evidential c-means based on entropy constraint (MvLRECM). The proposed MvLRECM can be considered as a multi-view version of evidential c-means based on the theory of belief functions. In MvLRECM, each object is allowed to belong to different clusters with various degrees of support (masses of belief) to characterize uncertainty when decision-making. Moreover, if an object is in the overlapping region of several singleton clusters, it can be assigned to a meta-cluster, defined as the union of these singleton clusters, to characterize the local imprecision in the result. In addition, entropy-weighting and low-rank constraints are employed to reduce imprecision and improve accuracy. Compared to state-of-the-art methods, the effectiveness of MvLRECM is demonstrated based on several toy and UCI real datasets.