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Pattern Recognition with Fuzzy Objective Function Algorithms

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Citations
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A novel kernelized fuzzy C-means algorithm with application in medical image segmentation

TL;DR: A novel algorithm for fuzzy segmentation of magnetic resonance imaging (MRI) data is presented using a kernel-induced distance metric and a spatial penalty on the membership functions to compensate for the intensity inhomogeneities of MR image.
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Long-term Persistence

TL;DR: In this article, the authors test Putnam's conjecture that today marked differences in social capital between the North and South of Italy were due to the culture of independence fostered by the free city-states experience in the North of Italy at the turn of the first millennium.
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Fuzzy C-Means Clustering With Local Information and Kernel Metric for Image Segmentation

TL;DR: An improved fuzzy C-means (FCM) algorithm for image segmentation is presented by introducing a tradeoff weighted fuzzy factor and a kernel metric and results show that the new algorithm is effective and efficient, and is relatively independent of this type of noise.
Journal ArticleDOI

Identification of overlapping community structure in complex networks using fuzzy c-means clustering

TL;DR: A novel algorithm to identify overlapping communities in complex networks by the combination of a new modularity function based on generalizing NG's Q function, an approximation mapping of network nodes into Euclidean space and fuzzy c-means clustering is devised.
Journal ArticleDOI

Fuzzy C-means method for clustering microarray data

TL;DR: By setting threshold levels for the membership values of the FCM method, genes which are tigthly associated to a given cluster can be selected and this selection increases the overall biological significance of the genes within the cluster.
References
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Nearest neighbor pattern classification

TL;DR: The nearest neighbor decision rule assigns to an unclassified sample point the classification of the nearest of a set of previously classified points, so it may be said that half the classification information in an infinite sample set is contained in the nearest neighbor.
Book

Introduction to Statistical Pattern Recognition

TL;DR: This completely revised second edition presents an introduction to statistical pattern recognition, which is appropriate as a text for introductory courses in pattern recognition and as a reference book for workers in the field.

A fuzzy relative of the isodata process and its use in detecting compact well-separated clusters

J. C. Dunn
TL;DR: In this paper, two fuzzy versions of the k-means optimal, least squared error partitioning problem are formulated for finite subsets X of a general inner product space, and the extremizing solutions are shown to be fixed points of a certain operator T on the class of fuzzy, k-partitions of X, and simple iteration of T provides an algorithm which has the descent property relative to the LSE criterion function.