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It is well known that the SOM algorithm achieves a clustering of data which can be interpreted as an extension of Principal Component Analysis, because of its topology-preserving property. But the SOM algorithm can only process real-valued…

Statistics Theory · Mathematics 2016-08-16 Marie Cottrell , Smail Ibbou , Patrick Letrémy

This paper shows how to use the Kohonen algorithm to represent multidimensional data, by exploiting the self-organizing property. It is possible to get such maps as well for quantitative variables as for qualitative ones, or for a mixing of…

Statistics Theory · Mathematics 2016-08-16 Marie Cottrell , SmaÏl Ibbou , Patrick Letrémy , Patrick Rousset

Many data analysis methods cannot be applied to data that are not represented by a fixed number of real values, whereas most of real world observations are not readily available in such a format. Vector based data analysis methods have…

Neural and Evolutionary Computing · Computer Science 2007-09-25 Aïcha El Golli , Fabrice Rossi , Brieuc Conan-Guez , Yves Lechevallier

In many real world applications, data cannot be accurately represented by vectors. In those situations, one possible solution is to rely on dissimilarity measures that enable sensible comparison between observations. Kohonen's…

Neural and Evolutionary Computing · Computer Science 2007-09-24 Brieuc Conan-Guez , Fabrice Rossi , Aïcha El Golli

Kohonen Maps, aka. Self-organizing maps (SOMs) are neural networks that visualize a high-dimensional feature space on a low-dimensional map. While SOMs are an excellent tool for data examination and exploration, they inherently cause a loss…

Human-Computer Interaction · Computer Science 2024-10-16 Simon Linke , Tim Ziemer

A Parallel Self-Organizing Map (Parallel-SOM) is proposed to modify Kohonen's SOM in parallel computing environment. In this model, two separate layers of neurons are connected together. The number of neurons in both layers and connections…

Quantum Physics · Physics 2007-05-23 Li Weigang

Determining the number of clusters in a dataset is a fundamental issue in data clustering. Many methods have been proposed to solve the problem of selecting the number of clusters, considering it to be a problem with regard to model…

Machine Learning · Computer Science 2022-10-04 Ryosuke Motegi , Yoichi Seki

Self-organising maps are a powerful tool for cluster analysis in a wide range of data contexts. From the pioneer work of Kohonen, many variants and improvements have been proposed. This review focuses on the last decade, in order to provide…

Neural and Evolutionary Computing · Computer Science 2025-01-16 Axel Guérin , Pierre Chauvet , Frédéric Saubion

The self-organizing map is an unsupervised neural network which is widely used for data visualisation and clustering in the field of chemometrics. The classical Kohonen algorithm that computes self-organizing maps is suitable only for…

Methodology · Statistics 2023-02-14 Sara Rejeb , Catherine Duveau , Tabea Rebafka

This paper adopts and adapts Kohonen's standard Self-Organizing Map (SOM) for exploratory temporal structure analysis. The Self-Organizing Time Map (SOTM) implements SOM-type learning to one-dimensional arrays for individual time units,…

Machine Learning · Computer Science 2014-05-06 Peter Sarlin

In this paper, a new implementation of the adaptation of Kohonen self-organising maps (SOM) to dissimilarity matrices is proposed. This implementation relies on the branch and bound principle to reduce the algorithm running time. An…

Neural and Evolutionary Computing · Computer Science 2008-02-05 Brieuc Conan-Guez , Fabrice Rossi

Doors are important landmarks for indoor mobile robot navigation and also assist blind people to independently access unfamiliar buildings. Most existing algorithms of door detection are limited to work for familiar environments because of…

Computer Vision and Pattern Recognition · Computer Science 2013-01-04 F. Mahmood , F. Kunwar

There is an increasing demand for scalable algorithms capable of clustering and analyzing large time series datasets. The Kohonen self-organizing map (SOM) is a type of unsupervised artificial neural network for visualizing and clustering…

Machine Learning · Computer Science 2021-08-27 Ali Javed , Donna M. Rizzo , Byung Suk Lee , Robert Gramling

The processing of data which contain missing values is a complicated and always awkward problem, when the data come from real-world contexts. In applications, we are very often in front of observations for which all the values are not…

Statistics Theory · Mathematics 2007-10-04 Marie Cottrell , Patrick Letrémy

Image feature classification is a challenging problem in many computer vision applications, specifically, in the fields of remote sensing, image analysis and pattern recognition. In this paper, a novel Self Organizing Map, termed improved…

Computer Vision and Pattern Recognition · Computer Science 2015-01-09 M. Abdelsamea , Marghny H. Mohamed , Mohamed Bamatraf

Self-organizing maps (SOMs) are a technique that has been used with high-dimensional data vectors to develop an archetypal set of states (nodes) that span, in some sense, the high-dimensional space. Noteworthy applications include weather…

Applications · Statistics 2009-01-23 Huiyan Sang , Alan E. Gelfand , Chris Lennard , Gabriele Hegerl , Bruce Hewitson

Some argue that biologically inspired algorithms are the future of solving difficult problems in computer science. Others strongly believe that the future lies in the exploration of mathematical foundations of problems at hand. The field of…

Artificial Intelligence · Computer Science 2016-08-08 Jan Feyereisl , Uwe Aickelin

Nous montrons comment il est possible d'utiliser l'algorithme d'auto organisation de Kohonen pour traiter des donn\'ees avec valeurs manquantes et estimer ces derni\`eres. Apr\`es un rappel m\'ethodologique, nous illustrons notre propos \`a…

Applications · Statistics 2007-05-23 Marie Cottrell , Smail Ibbou , Patrick Letrémy

This article is an extended version of a paper presented in the WSOM'2012 conference [1]. We display a combination of factorial projections, SOM algorithm and graph techniques applied to a text mining problem. The corpus contains 8 medieval…

Statistics Theory · Mathematics 2015-06-26 Nicolas Bourgeois , Marie Cottrell , Benjamin Déruelle , Stéphane Lamassé , Patrick Letrémy

In the present article, we attempt to devise a typology of forms of part-time employment by applying a widely used neuronal methodology called Kohonen maps. Starting out with data that we describe using category-specific variables, we show…

Statistics Theory · Mathematics 2016-08-16 Patrick Letrémy , Marie Cottrell
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