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A new cluster validity measure and its application to image compression

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TLDR
This paper proposes a new validity measure that can deal with the edge degradation in vector quantisation of image compression and proposes a modified K-means algorithm that can assign more cluster centres to areas with low densities of data.
Abstract
Many validity measures have been proposed for evaluating clustering results. Most of these popular validity measures do not work well for clusters with different densities and/or sizes. They usually have a tendency of ignoring clusters with low densities. In this paper, we propose a new validity measure that can deal with this situation. In addition, we also propose a modified K-means algorithm that can assign more cluster centres to areas with low densities of data than the conventional K-means algorithm does. First, several artificial data sets are used to test the performance of the proposed measure. Then the proposed measure and the modified K-means algorithm are applied to reduce the edge degradation in vector quantisation of image compression.

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Citations
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Journal ArticleDOI

An extensive comparative study of cluster validity indices

TL;DR: The results of an experimental work that compares 30 cluster validity indices in many different environments with different characteristics can serve as a guideline for selecting the most suitable index for each possible application and provide a deep insight into the performance differences between the currently available indices.
Journal ArticleDOI

Automatic Clustering Using an Improved Differential Evolution Algorithm

TL;DR: Differential evolution has emerged as one of the fast, robust, and efficient global search heuristics of current interest as mentioned in this paper, which has been applied to the automatic clustering of large unlabeled data sets.
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A survey on nature inspired metaheuristic algorithms for partitional clustering

TL;DR: An up-to-date review of all major nature inspired metaheuristic algorithms employed till date for partitional clustering and key issues involved during formulation of various metaheuristics as a clustering problem and major application areas are discussed.
Proceedings Article

Cluster validity measurement techniques

TL;DR: The most commonly used validity indices are introduced and explained, and they are compared based on experimental results.
Journal ArticleDOI

A review of electric load classification in smart grid environment

TL;DR: A five-stage process model of load classification is constructed based on the summary and analysis of studies about load classification in smart grid environment, and the commonly used clustering methods for load classification are summarized and briefly reviewed.
References
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Proceedings Article

A density-based algorithm for discovering clusters a density-based algorithm for discovering clusters in large spatial databases with noise

TL;DR: In this paper, a density-based notion of clusters is proposed to discover clusters of arbitrary shape, which can be used for class identification in large spatial databases and is shown to be more efficient than the well-known algorithm CLAR-ANS.
Book

Pattern Recognition with Fuzzy Objective Function Algorithms

TL;DR: Books, as a source that may involve the facts, opinion, literature, religion, and many others are the great friends to join with, becomes what you need to get.
Proceedings Article

A density-based algorithm for discovering clusters in large spatial Databases with Noise

TL;DR: DBSCAN, a new clustering algorithm relying on a density-based notion of clusters which is designed to discover clusters of arbitrary shape, is presented which requires only one input parameter and supports the user in determining an appropriate value for it.
Journal ArticleDOI

Data clustering: a review

TL;DR: An overview of pattern clustering methods from a statistical pattern recognition perspective is presented, with a goal of providing useful advice and references to fundamental concepts accessible to the broad community of clustering practitioners.
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