A modified version of the K-means algorithm with a distance based on cluster symmetry
IEEE Transactions on Pattern Analysis and Machine IntelligencePublished 1 June 2001
Mu‐Chun Su, Chien-Hsing Chou
Citations389
SJR quartileQ1
SJR score3.91
SNIP5.99
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
A modified version of the K-means algorithm is proposed that adopts a novel nonmetric distance measure based on the idea of "point symmetry" that can be applied in data clustering and human face detection.
Abstract
We propose a modified version of the K-means algorithm to cluster data. The proposed algorithm adopts a novel nonmetric distance measure based on the idea of "point symmetry". This kind of "point symmetry distance" can be applied in data clustering and human face detection. Several data sets are used to illustrate its effectiveness.
Keywords
Computer Science
Pattern classification and scene analysis
12,643 Citations1973Richard O. Duda, Peter E. Hart
Springer series in information sciencesSelf-Organization and Associative Memory
8,770 Citations1989Teuvo Kohonen
Pattern Recognition Principles
3,205 Citations2009
The present work gives an account of basic principles and available techniques for the analysis and design of pattern processing and recognition systems.
Computer Vision Graphics and Image ProcessingA massively parallel architecture for a self-organizing neural pattern recognition machine
2,519 Citations1987Gail A. Carpenter, Stephen Grossberg
A neural network architecture for the learning of recognition categories is derived which circumvents the noise, saturation, capacity, orthogonality, and linear predictability constraints that limit the codes which can be stably learned by alternative recognition models.
IEEE Transactions on ComputersGraph-Theoretical Methods for Detecting and Describing Gestalt Clusters
1,741 Citations1971C. T. Zahn
A family of graph-theoretical algorithms based on the minimal spanning tree are capable of detecting several kinds of cluster structure in arbitrary point sets; description of the detected clusters is possible in some cases by extensions of the method.
Information and ControlA new approach to clustering
1,564 Citations1969Enrique H. Ruspini
A new method of representation of the reduced data, based on the idea of “fuzzy sets,” is proposed to avoid some of the problems of current clustering procedures and to provide better insight into the structure of the original data.
Applied OpticsART 2: self-organization of stable category recognition codes for analog input patterns
1,433 Citations1987Gail A. Carpenter, Stephen Grossberg
ART 2, a class of adaptive resonance architectures which rapidly self-organize pattern recognition categories in response to arbitrary sequences of either analog or binary input patterns, is introduced.
Springer eBooksSelf-organization and associative memory: 3rd edition
1,230 Citations1989T. Kohonen
This work prospectively examined the association between magnesium intake and incidence of Type 2 diabetes in a general Japanese population.
ComputerThe 'neural' phonetic typewriter
565 Citations1988Teuvo Kohonen
A speaker-adaptive system that transcribes dictation using an unlimited vocabulary is presented that is based on a neural network processor for the recognition of phonetic units of speech.
International Journal of Computer VisionContext-free attentional operators: The generalized symmetry transform
417 Citations1995D. Reisfeld, Haim J. Wolfson +1 more
An attention operator based on the intuitive notion of symmetry, which generalized many of the existing methods of detecting regions of interest is presented, a low-level operator that can be applied successfully without a priori knowledge of the world.
IEEE Transactions on Pattern Analysis and Machine IntelligenceSymmetry as a continuous feature
375 Citations1995Hagit Zabrodsky, Bezalel Peleg +1 more
The authors consider grayscale images as 3D shapes, and use the symmetry distance to find the orientation of symmetric objects from their images, and to find locally symmetric regions in images.
IEEE Transactions on Neural NetworksA self-organizing network for hyperellipsoidal clustering (HEC)
283 Citations1996Jianchang Mao, Anil K. Jain
IEEE Transactions on Pattern Analysis and Machine IntelligenceShape from texture: integrating texture-element extraction and surface estimation
129 Citations1989Dorothea Blostein, Narendra Ahuja
A method is presented for identifying texture elements while simultaneously recovering the orientation of textured surfaces, using a multiscale region detector based on measurements in a Del /sup 2/G (Laplacian-of-Gaussian) scale space.
IEEE Transactions on Pattern Analysis and Machine IntelligenceComments on "Symmetry as a Continuous Feature"
48 Citations1997Kenichi Kanatani
It is pointed out the existence of a theoretical difficulty that underlies the symmetry detection studied by Zabrodsky et al. (1995) and a possible solution to it is presented.
Application of neural networks in cluster analysis
27 Citations2002Mu-Chun Su, N. DeClaris +1 more
A method for automatically discovering the number of clusters and estimating the locations of the centroids of the resulting clusters is proposed based on the interpretation of a self-organizing feature map (SOFM) formed by the given data set.
NeurocomputingApplication of neural networks using quadratic junctions in cluster analysis
19 Citations2001Mu-Chun Su, Ta‐Kang Liu
An unsupervised learning algorithm is explored for a class of neural networks with quadratic neural-type junctions to cluster data and detected clusters may be either hyperspherical-shaped or hyperellipsoidal-shaped.
IEICE Transactions on Fundamentals of Electronics Communications and Computer SciencesA competitive learning algorithm using symmetry
8 Citations1999S. U. Mu-Chun
A new competitive learning algorithm for training single-layer neural networks to cluster data is proposed that adopts a new measure based on the idea of “symmetry” so that neurons compete with each otherbased on the symmetrical distance instead of the Euclidean distance.
Lecture notes in computer scienceSelf-Organizing Neural Networks for Data Projection
4 Citations1999Mu‐Chun Su, Hisao-Te Chang
A nonlinear projection method for visualizing high-dimensional data as a two-dimensional scatter plot based on a new model of self-organizing neural networks that will adaptively adjust its architecture during the learning phase.
