Rescaling Non-metric Data to Metric Data Using Multi-Dimensional Scaling

Multi-Dimensional Scaling Assignment ‘Non-metric multidimensional scaling on data from the USA Beer Market’

Approximate Noether Symmetries of the Geodesic Equations for the Charged-Kerr Spacetime and Rescaling of Energy

Using approximate symmetry methods for differential equations we have investigated the exact and approximate symmetries of a Lagrangian for the geodesic equations in the Kerr spacetime. Taking Minkowski spacetime as the exact case, it is shown that the symmetry algebra of the Lagrangian is 17 dimensional. This algebra is related to the 15 dimensional Lie algebra of conformal isometries of Minko...

A Distance Metric that Combines Linkage, Connectivity and Density Information for Clustering in Image Processing

Rapid development in Internet technology has generated data at high velocity in large volume and variety. It needs newer methods of analysis. Combining traditional and popular methods with specialized techniques give interesting clustering outputs and are of much use in some real life applications. This paper suggests a new dissimilarity metric to handle complex data. It combines the linkage an...

Visualisation and exploration of high-dimensional data using a “force directed placement”method: application to the analysis of genomic signatures

Abstract. Visualization of high-dimensional data is generally achieved by projection in a low dimensional space (usually 2 to 3 dimensions). Visualization is designed to facilitate the understanding of data sets by preserving some “essential”information. We have designed a non-linear multi-dimensional-scaling (MDS) tool relying on the force directed placement (FDP) algorithm to help dynamically...

Distance Based Clustering of Association Rules

Association rule mining is one of the most important procedures in data mining. In industry applications, often more than 10,000 rules are discovered. To allow manual insepection and support knowledge discovery the number of rules has to be reduced significantly by techniques such as pruning or grouping. In this paper, we present a new normalized distance metric to group association rules. Base...