Dynamic load balancing in parallel KD-tree k-means

One among the most influential and popular data mining methods is the k-Means algorithm for cluster analysis. Techniques for improving the efficiency of k-Means have been largely explored in two main directions. The amount of computation can be significantly reduced by adopting geometrical constraints and an efficient data structure, notably a multidimensional binary search tree (KD-Tree). These techniques allow to reduce the number of distance computations the algorithm performs at each iteration. A second direction is parallel processing, where data and computation loads are distributed over many processing nodes. However, little work has been done to provide a parallel formulation of the efficient sequential techniques based on KD-Trees. Such approaches are expected to have an irregular distribution of computation load and can suffer from load imbalance. This issue has so far limited the adoption of these efficient k-Means variants in parallel computing environments. In this work, we provide a parallel formulation of the KD-Tree based k-Means algorithm for distributed memory systems and address its load balancing issue. Three solutions have been developed and tested. Two approaches are based on a static partitioning of the data set and a third solution incorporates a dynamic load balancing policy

Fault tolerant decentralised K-Means clustering for asynchronous large-scale networks

The K-Means algorithm for cluster analysis is one of the most influential and popular data mining methods. Its straightforward parallel formulation is well suited for distributed memory systems with reliable interconnection networks, such as massively parallel processors and clusters of workstations. However, in large-scale geographically distributed systems the straightforward parallel algorithm can be rendered useless by a single communication failure or high latency in communication paths. The lack of scalable and fault tolerant global communication and synchronisation methods in large-scale systems has hindered the adoption of the K-Means algorithm for applications in large networked systems such as wireless sensor networks, peer-to-peer systems and mobile ad hoc networks. This work proposes a fully distributed K-Means algorithm (EpidemicK-Means) which does not require global communication and is intrinsically fault tolerant. The proposed distributed K-Means algorithm provides a clustering solution which can approximate the solution of an ideal centralised algorithm over the aggregated data as closely as desired. A comparative performance analysis is carried out against the state of the art sampling methods and shows that the proposed method overcomes the limitations of the sampling-based approaches for skewed clusters distributions. The experimental analysis confirms that the proposed algorithm is very accurate and fault tolerant under unreliable network conditions (message loss and node failures) and is suitable for asynchronous networks of very large and extreme scale

Efficient clustering techniques for big data

Clustering is an essential data mining technique that divides observations into groups where each group contains similar observations. K-Means is one of the most popular and widely used clustering algorithms that has been used for over fifty years. The majority of the running time in the original K-Means algorithm (known as Lloyd’s algorithm) is spent on computing distances from each data point to all cluster centres to find the closest centre to each data point. Due to the current exponential growth of the data, it became a necessity to improve KMeans even further to cope with large-scale datasets, known as Big Data. Hence, the main aim of this thesis is to improve the efficiency and scalability of Lloyd’s K-Means. One of the most efficient techniques to accelerate K-Means is to use triangle inequality. Implementing such efficient techniques on a reliable distributed model creates a powerful combination. This combination can lead to an efficient and highly scalable parallel version of K-Means that offers a practical solution to the problem of clustering Big Data. MapReduce, and its popular open-source implementation known as Hadoop, provides a distributed computing framework that efficiently stores, manages, and processes large-scale datasets over a large cluster of commodity machines. Many studies introduced a parallel implementation of Lloyd’s K-Means on Hadoop in order to improve the algorithm’s scalability. This research examines methods based on triangle inequality to achieve further improvements on the efficiency of the parallel Lloyd’s K-Means on Hadoop. Variants of K-Means that use triangle inequality usually require extra information, such as distance bounds and cluster assignments, from the previous iteration to work efficiently. This is a challenging task to achieve on Hadoop for two reasons: 1) Hadoop does not directly support iterative algorithms; and 2) Hadoop does not allow information to be exchanged between two consecutive iterations. Hence, two techniques are proposed to give Hadoop the ability to pass information from an iteration to the next. The first technique uses a data structure referred to as an Extended Vector (EV), that appends the extra information to the original data vector. The second technique stores the extra information on files where each file is referred to as a Bounds File (BF). To evaluate the two proposed techniques, two K-Means variants are implemented on Hadoop using the two techniques. Each variant is tested against variable number of clusters, dimensions, data points, and mappers. Furthermore, the performance of various implementations of K-Means on Hadoop and Spark is investigated. The results show a significant improvement on the efficiency of the new implementations compared to the Lloyd’s K-Means on Hadoop with real and artificial datasets