Convergence theory for fuzzy c-means: counterexamples and repairs
IEEE Transactions on Systems, Man and Cybernetics
Unsupervised Optimal Fuzzy Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
A deterministic annealing approach to clustering
Pattern Recognition Letters
Introduction to statistical pattern recognition (2nd ed.)
Introduction to statistical pattern recognition (2nd ed.)
A Validity Measure for Fuzzy Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Characterization and detection of noise in clustering
Pattern Recognition Letters
On a class of fuzzy classification maximum likelihood procedures
Fuzzy Sets and Systems
An automated knowledge extraction system
An automated knowledge extraction system
Pattern Recognition Letters - Special issue on fuzzy set technology in pattern recognition
A Robust Competitive Clustering Algorithm With Applications in Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Function approximation with polynomial membership functions and alternating cluster estimation
Fuzzy Sets and Systems - Special issue on analytical and structural considerations in fuzzy modeling
Gaussian clustering method based on maximum-fuzzy-entropy interpretation
Fuzzy Sets and Systems
Statistical Pattern Recognition: A Review
IEEE Transactions on Pattern Analysis and Machine Intelligence
ACM Computing Surveys (CSUR)
Data mining: concepts and techniques
Data mining: concepts and techniques
Mean Shift: A Robust Approach Toward Feature Space Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern Recognition with Fuzzy Objective Function Algorithms
Pattern Recognition with Fuzzy Objective Function Algorithms
Machine Learning
Fuzzy Clustering Using A Compensated Fuzzy Hopfield Network
Neural Processing Letters
Constrained Clustering as an Optimization Method
IEEE Transactions on Pattern Analysis and Machine Intelligence
Mean Shift, Mode Seeking, and Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
An Algorithm for Data-Driven Bandwidth Selection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Clustering by competitive agglomeration
Pattern Recognition
K-Means-Type Algorithms: A Generalized Convergence Theorem and Characterization of Local Optimality
IEEE Transactions on Pattern Analysis and Machine Intelligence
A survey of fuzzy clustering algorithms for pattern recognition. I
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Modified Gath-Geva fuzzy clustering for identification of Takagi-Sugeno fuzzy models
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Robust clustering by pruning outliers
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
The possibilistic C-means algorithm: insights and recommendations
IEEE Transactions on Fuzzy Systems
Robust clustering methods: a unified view
IEEE Transactions on Fuzzy Systems
An integrated approach to fuzzy learning vector quantization and fuzzy c-means clustering
IEEE Transactions on Fuzzy Systems
Alternating cluster estimation: a new tool for clustering and function approximation
IEEE Transactions on Fuzzy Systems
Generalized fuzzy c-means clustering strategies using Lp norm distances
IEEE Transactions on Fuzzy Systems
Fuzzy clustering with volume prototypes and adaptive cluster merging
IEEE Transactions on Fuzzy Systems
Optimization of clustering criteria by reformulation
IEEE Transactions on Fuzzy Systems
Fuzzy algorithms for combined quantization and dithering
IEEE Transactions on Image Processing
Model transitions in descending FLVQ
IEEE Transactions on Neural Networks
An axiomatic approach to soft learning vector quantization and clustering
IEEE Transactions on Neural Networks
The multisynapse neural network and its application to fuzzy clustering
IEEE Transactions on Neural Networks
Possibilistic fuzzy co-clustering of large document collections
Pattern Recognition
Developing a feature weight self-adjustment mechanism for a K-means clustering algorithm
Computational Statistics & Data Analysis
Software Cost Estimation Models Using Radial Basis Function Neural Networks
Software Process and Product Measurement
GeCiM: A Novel Generalized Approach to C-Means Clustering
CIARP '08 Proceedings of the 13th Iberoamerican congress on Pattern Recognition: Progress in Pattern Recognition, Image Analysis and Applications
Supervised Gravitational Clustering with Bipolar Fuzzification
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Artificial Intelligence
A Novel Multimodal Probability Model for Cluster Analysis
RSKT '09 Proceedings of the 4th International Conference on Rough Sets and Knowledge Technology
Dual fuzzy-possibilistic coclustering for categorization of documents
IEEE Transactions on Fuzzy Systems
Incorporating Fuzziness to CLARANS
PReMI '09 Proceedings of the 3rd International Conference on Pattern Recognition and Machine Intelligence
A generalized c-means clustering model using optimized via evolutionary computation
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Quantization-based clustering algorithm
Pattern Recognition
A fuzzy clustering approach using reward and penalty functions
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
Locality sensitive C-means clustering algorithms
Neurocomputing
Bandwidth adaptive hardware architecture of K-Means clustering for video analysis
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Improved graph-based metrics for clustering high-dimensional datasets
IBERAMIA'10 Proceedings of the 12th Ibero-American conference on Advances in artificial intelligence
Fast k-NN classifier for documents based on a graph structure
CIARP'10 Proceedings of the 15th Iberoamerican congress conference on Progress in pattern recognition, image analysis, computer vision, and applications
Sample-weighted clustering methods
Computers & Mathematics with Applications
A novel visual clustering algorithm for finding community in complex network
ADMA'06 Proceedings of the Second international conference on Advanced Data Mining and Applications
Partitive clustering (K-means family)
Wiley Interdisciplinary Reviews: Data Mining and Knowledge Discovery
Expert Systems with Applications: An International Journal
A Novel Multimodal Probability Model for Cluster Analysis
Fundamenta Informaticae - Knowledge Technology
Clustering construction on a multimodal probability model
Information Sciences: an International Journal
Warped K-Means: An algorithm to cluster sequentially-distributed data
Information Sciences: an International Journal
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Partitional clustering is an important part of cluster analysis. Based on various theories, numerous clustering algorithms have been developed, and new clustering algorithms continue to appear in the literature. It is known that Occam's razor plays a pivotal role in data-based models, and partitional clustering is categorized as a data-based model. However, no relation had previously been discovered between Occam's razor and partitional clustering, as we discuss in this paper. The three main contributions of this paper can be summarized as follows: 1) According to a novel definition of the mean, a unifying generative framework for partitional clustering algorithms, called a general c-means clustering model (GCM), is presented and studied. 2) Based on the local optimality test of the GCM, the connection between Occam's razor and partitional clustering is established for the first time. As its application, a comprehensive review of the existing objective function-based clustering algorithms is presented based on GCM. 3) Under a common assumption about partitional clustering, a theoretical guide for devising and implementing clustering algorithm is discovered. These conclusions are verified by numerical experimental results.