Nearest Neighbor based Clustering Algorithm for Large Data Sets

Abstract

Clustering is an unsupervised learning technique in which data or objects are grouped into sets based on some similarity measure. Most of the clustering algorithms assume that the main memory is infinite and can accommodate the set of patterns. In reality many applications give rise to a large set of patterns which does not fit in the main memory. When the data set is too large, much of the data is stored in the secondary memory. Input/Outputs (I/O) from the disk are the major bottleneck in designing efficient clustering algorithms for large data sets. Different designing techniques have been used to design clustering algorithms for large data sets. External memory algorithms are one class of algorithms which can be used for large data sets. These algorithms exploit the hierarchical memory structure of the computers by incorporating locality of reference directly in the algorithm. This paper makes some contribution towards designing clustering algorithms in the external memory model (Proposed by Aggarwal and Vitter 1988) to make the algorithms scalable. In this paper, it is shown that the Shared near neighbors algorithm is not very I/O efficient since the computational complexity is same as the I/O complexity. The algorithm is designed in the external memory model and I/O complexity is reduced. The computational complexity remains same. We substantiate the theoretical analysis by showing the performance of the algorithms with their traditional counterpart by implementing in STXXL library.