Centroid-Based Actionable 3D Subspace Clustering

Actionable 3D subspace clustering from real-world continuous-valued 3D (i.e., object-attribute-context) data promises tangible benefits such as discovery of biologically significant protein residues and profitable stocks, but existing algorithms are inadequate in solving this clustering problem; most of them are not actionable (ability to suggest profitable or beneficial actions to users), do not allow incorporation of domain knowledge, and are parameter sensitive, i.e., the wrong threshold setting reduces the cluster quality. Moreover, its 3D structure complicates this clustering problem. We propose a centroid-based actionable 3D subspace clustering framework, named CATSeeker, which allows incorporation of domain knowledge, and achieves parameter insensitivity and excellent performance through a unique combination of singular value decomposition, numerical optimization, and 3D frequent itemset mining. Experimental results on synthetic, protein structural, and financial data show that CATSeeker significantly outperforms all the competing methods in terms of efficiency, parameter insensitivity, and cluster usefulness.