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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

The Kohonen algorithm (SOM, Kohonen,1984, 1995) is a very powerful tool for data analysis. It was originally designed to model organized connections between some biological neural networks. It was also immediately considered as a very good…

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

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

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

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

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

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

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

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

A new approach to data stream clustering with the help of an ensemble of adaptive neuro-fuzzy systems is proposed. The proposed ensemble is formed with adaptive neuro-fuzzy self-organizing Kohonen maps in a parallel processing mode. A final…

Artificial Intelligence · Computer Science 2016-10-21 Zhengbing Hu , Yevgeniy V. Bodyanskiy , Oleksii K. Tyshchenko , Olena O. Boiko

We are introducing a novel approach to infer the underlying dynamics of hidden common drivers, based on analyzing time series data from two driven dynamical systems. The inference relies on time-delay embedding, estimation of the intrinsic…

Machine Learning · Computer Science 2025-04-03 Zsigmond Benkő , Marcell Stippinger , Zoltán Somogyvári

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

Multivariate time series forecasting is widely used in various fields. Reasonable prediction results can assist people in planning and decision-making, generate benefits and avoid risks. Normally, there are two characteristics of time…

Machine Learning · Computer Science 2021-03-23 Yifu Zhou , Ziheng Duan , Haoyan Xu , Jie Feng , Anni Ren , Yueyang Wang , Xiaoqian Wang

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

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

The information contained in a time series is more than what the values themselves are. In this paper, the Time-variant Local Autocorrelated Polynomial model with Kalman filter is proposed to model the underlying dynamics of a time series…

Applications · Statistics 2021-02-16 Shixiong Wang , Chongshou Li , Andrew Lim

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

Solving inverse problems, where we find the input values that result in desired values of outputs, can be challenging. The solution process is often computationally expensive and it can be difficult to interpret the solution in…

Machine Learning · Computer Science 2023-06-08 Chandrika Kamath , Juliette Franzman , Ravi Ponmalai

Robots deployed in settings such as warehouses and parking lots must cope with frequent and substantial changes when localizing in their environments. While many previous localization and mapping algorithms have explored methods of…

Robotics · Computer Science 2022-08-02 Amanda Adkins , Taijing Chen , Joydeep Biswas

A new family of self-organizing maps, the Winner-Relaxing Kohonen Algorithm, is introduced as a generalization of a variant given by Kohonen in 1991. The magnification behaviour is calculated analytically. For the original variant a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jens Christian Claussen
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