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Algorithms for clustering data

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The article was published on 1988-01-01 and is currently open access. It has received 8586 citations till now. The article focuses on the topics: Cluster analysis & Correlation clustering.

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Rough Set Based Generalized Fuzzy $C$ -Means Algorithm and Quantitative Indices

TL;DR: The RFPCM comprises a judicious integration of the principles of rough and fuzzy sets that incorporates both probabilistic and possibilistic memberships simultaneously to avoid the problems of noise sensitivity of fuzzy C-means and the coincident clusters of PCM.
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Application of metabolomics to plant genotype discrimination using statistics and machine learning

TL;DR: It is shown clearly that the two background lines can be discrimated between each other and their progeny, and indicated that theTwo progeny lines can also be discriminated.
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Bagging for path-based clustering

TL;DR: A resampling scheme for clustering with similarity to bootstrap aggregation (bagging) is presented to improve the quality of path-based clustering, a data clustering method that can extract elongated structures from data in a noise robust way.
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Nearest q -flat to m points

TL;DR: In this article, the problem of finding the nearest q-flat to m points was extended to the general case, with 0 ≤ q≤q≤n−1.

Informal identification of outliers in medical data

TL;DR: The removal of outliers increased the descriptive classification accuracy of discriminant analysis functions and nearest neighbour method, while the predictive ability of these methods reduced somewhat.
References
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Book

Clustering Algorithms

Journal ArticleDOI

Shortest connection networks and some generalizations

TL;DR: In this paper, the basic problem of interconnecting a given set of terminals with a shortest possible network of direct links is considered, and a set of simple and practical procedures are given for solving this problem both graphically and computationally.
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An examination of procedures for determining the number of clusters in a data set

TL;DR: A Monte Carlo evaluation of 30 procedures for determining the number of clusters was conducted on artificial data sets which contained either 2, 3, 4, or 5 distinct nonoverlapping clusters to provide a variety of clustering solutions.
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SLINK: An optimally efficient algorithm for the single-link cluster method

TL;DR: Sibson gives an O(n 2) algorithm for single-linkage clustering, and proves that this algorithm achieves the theoretically optimal lower time bound for obtaining a single- linkage dendrogram.