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Improving the Accuracy and Efficiency of the k-means
Improving the Accuracy and Efficiency of the k-means

... Phase 1 of 2the enhanced algorithm requires a time complexity of O(n ) for finding the initial centroids, as the maximum time required here is for computing the distances between each data point and all other data-points in the set D. In the original k-means algorithm, before the algorithm converges ...
Clustering Techniques
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... advanced features in STATISTICA will help the user even with this aspect of the analyses (i.e., to determine the right number of clusters). The clustering algorithm will find the best partitioning of all the customer records (in our example) and will provide descriptions of the “means or centroids” ...
Mine Microarray Gene Expression Data, Predict Cancers
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DATA MINING AND CLUSTERING
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Comparative Analysis of K-Means and Fuzzy C

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Experimental work on Data Clustering using Enhanced Random K-Mode Algorithm  S. Sathappan
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... Dividing entire space into subspaces needs to have a criterion where we use length of vector for this purpose. It is possible to have others criteria for dividing e.g. distance from source or angle value between vector and one of axis. Equivalency is a necessary condition for chosen criterion to div ...
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A Rough Set based Gene Expression Clustering Algorithm
A Rough Set based Gene Expression Clustering Algorithm

... A Rough Set based Gene Expression Clustering Algorithm J. Jeba Emilyn and K. Ramar Department of IT, Sona College of Technology, Salem, SriVidhya College of Engineering and Technology, Virudhunagar, Tamilnadu, India Abstract: Problem statement: Microarray technology helps in monitoring the expressio ...
Models and Operators for Continuous Queries on Data Streams
Models and Operators for Continuous Queries on Data Streams

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K-means clustering

k-means clustering is a method of vector quantization, originally from signal processing, that is popular for cluster analysis in data mining. k-means clustering aims to partition n observations into k clusters in which each observation belongs to the cluster with the nearest mean, serving as a prototype of the cluster. This results in a partitioning of the data space into Voronoi cells.The problem is computationally difficult (NP-hard); however, there are efficient heuristic algorithms that are commonly employed and converge quickly to a local optimum. These are usually similar to the expectation-maximization algorithm for mixtures of Gaussian distributions via an iterative refinement approach employed by both algorithms. Additionally, they both use cluster centers to model the data; however, k-means clustering tends to find clusters of comparable spatial extent, while the expectation-maximization mechanism allows clusters to have different shapes.The algorithm has a loose relationship to the k-nearest neighbor classifier, a popular machine learning technique for classification that is often confused with k-means because of the k in the name. One can apply the 1-nearest neighbor classifier on the cluster centers obtained by k-means to classify new data into the existing clusters. This is known as nearest centroid classifier or Rocchio algorithm.
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