Big-means: Less is More for K-means Clustering

K-means clustering plays a vital role in data mining. However, its performance drastically drops when applied to huge amounts of data. We propose a new heuristic that is built on the basis of regular K-means for faster and more accurate big data clustering using the "less is more" and MSSC decomposition approaches. The main advantage of the proposed algorithm is that it naturally turns the K-means local search into global one through the process of decomposition of the MSSC problem. On one hand, decomposition of the MSSC problem into smaller subproblems reduces the computational complexity and allows for their parallel processing. On the other hand, the MSSC decomposition provides a new method for the natural data-driven shaking of the incumbent solution while introducing a new neighborhood structure for the solution of the MSSC problem. This leads to a new heuristic that improves K-means in big data conditions. The scalability of the algorithm to big data can be easily adjusted by choosing the appropriate number of subproblems and their size. The proposed algorithm is both scalable and accurate. In our experiments it outperforms all recent state-of-the-art algorithms for the MSSC in terms of time as well as the solution quality.