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Variants of self-organizing maps

IEEE Transactions on Neural Networks, 1990
Self-organizing maps have a bearing on traditional vector quantization. A characteristic that makes them more closely resemble certain biological brain maps, however, is the spatial order of their responses, which is formed in the learning process. A discussion is presented of the basic algorithms and two innovations: dynamic weighting of the input ...
Jari Kangas 0001   +2 more
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Self-Organizing Map Convergence

International Journal of Service Science, Management, Engineering, and Technology, 2018
Self-organizing maps are artificial neural networks designed for unsupervised machine learning. Here in this article, the authors introduce a new quality measure called the convergence index. The convergence index is a linear combination of map embedding accuracy and estimated topographic accuracy and since it reports a single statistically meaningful ...
Tatoian, Robert, Hamel, Lutz
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Parallelizing self-organizing maps

1997
Several ways of parallelizing the self-organizing network (Kohonen maps) are studied on the BSP-like parallel machine model. Optimal number of processors and criteria for choosing the right task decomposition are presented. Theoretical results are verified in the PVM environment on a cluster of workstations.
David Strupl, Roman Neruda
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Geodesic self-organizing map

SPIE Proceedings, 2005
Self-Organizing map (SOM) is a widely used tool to find clustering and also to visualize high dimensional data. Several spherical SOMs have been proposed to create a more accurate representation of the data by removing the “border effect”. In this paper, we compare several spherical lattices for the purpose of implementation of a SOM. We then introduce
Yingxin Wu 0001, Masahiro Takatsuka
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The Self-Organizing Map of Trees

Neural Processing Letters, 1998
In the standard version of the Self-Organizing Map, each neuron is associated with a vector. An extension using trees instead of vectors is presented. Compared to vectors, trees provide remarkably more degrees of freedom. The essential points of self-organization, the distance function and the learning rule, are adapted to trees by means of graph ...
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Comparing self-organizing maps

1996
In exploratory analysis of high-dimensional data the self-organizing map can be used to illustrate relations between the data items. We have developed two measures for comparing how different maps represent these relations. The other combines an index of discontinuities in the mapping from the input data set to the map grid with an index of the ...
Samuel Kaski, Krista Lagus
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Fusion of Self Organizing Maps

2007
An important issue in data-mining is to find effective and optimal forms to learn and preserve the topological relations of highly dimensional input spaces and project the data to lower dimensions for visualization purposes. In this paper we propose a novel ensemble method to combine a finite number of Self Organizing Maps, we called this model ...
Carolina Saavedra   +3 more
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Financial Self-Organizing Maps

2014
This paper introduces Financial Self–Organizing Maps (FinSOM) as a SOM sub–class where the mapping of inputs on the neural space takes place using functions with economic soundness, that makes them particularly well–suited to analyze financial data. The visualization capabilities as well as the explicative power of both the standard SOM and the FinSOM ...
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Self-organizing semantic maps

Biological Cybernetics, 1989
Self-organized formation of topographic maps for abstract data, such as words, is demonstrated in this work. The semantic relationships in the data are reflected by their relative distances in the map. Two different simulations, both based on a neural network model that implements the algorithm of the selforganizing feature maps, are given.
Ritter, Helge, Kohonen, Teuvo
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SOM of SOMs: Self-organizing Map Which Maps a Group of Self-organizing Maps

2005
This paper aims to propose an extension of SOMs called an “SOM of SOMs,” or SOM2, in which the mapped objects are self-organizing maps themselves. In SOM2, each nodal unit of the conventional SOM is replaced by a function module of SOM. Therefore, SOM2 can be regarded as a variation of a modular network SOM (mnSOM).
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