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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

Introduction: An important chain of supermarkets in the western zone of the capital of Chile, needs to obtain key information to make decisions, this information is available in the databases but needs to be processed due to the complexity…

Machine Learning · Computer Science 2021-07-23 Joaquín Cordero , Alfredo Bolt , Mauricio Valle

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

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

We present an alternative algorithm to global fitting procedures to construct Parton Distribution Functions (PDFs) parametrizations. The proposed algorithm uses Self-Organizing Maps (SOMs) which at variance with the standard Neural…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Honkanen , S. Liuti , Y. C. Loitiere , D. Brogan , P. Reynolds

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

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

We present several applications of non-linear data modeling, using principal manifolds and principal graphs constructed using the metaphor of elasticity (elastic principal graph approach). These approaches are generalizations of the…

Neural and Evolutionary Computing · Computer Science 2010-07-27 A. N. Gorban , A. Zinovyev

Self-Organizing Map (SOM) is a promising tool for exploring large multi-dimensional data sets. It is quick and convenient to train in an unsupervised fashion and, as an outcome, it produces natural clusters of data patterns. An example of…

Astrophysics · Physics 2009-11-13 Lukasz Wyrzykowski , Vasily Belokurov

This paper defines a new learning architecture, Layered Self-Organizing Maps (LSOMs), that uses the SOM and supervised-SOM learning algorithms. The architecture is validated with the MNIST database of hand-written digit images. LSOMs are…

Computer Vision and Pattern Recognition · Computer Science 2018-03-29 David Friedlander

Self-Organizing Maps (SOM) are popular unsupervised artificial neural network used to reduce dimensions and visualize data. Visual interpretation from Self-Organizing Maps (SOM) has been limited due to grid approach of data representation,…

Graphics · Computer Science 2013-01-03 Aaditya Prakash

Self organizing maps (SOMs) are widely-used for unsupervised classification. For this application, they must be combined with some partitioning scheme that can identify boundaries between distinct regions in the maps they produce. We…

Neural and Evolutionary Computing · Computer Science 2008-02-07 Paul R. Gazis , Jeffrey D. Scargle

Sustainable water quality underpins ecological balance and water security. Assessing and managing lakes and reservoirs is difficult due to data sparsity, heterogeneity, and nonlinear relationships among parameters. This review examines how…

Machine Learning · Computer Science 2025-12-23 Oraib Almegdadi , João Marcelino , Sarah Fakhreddine , João Manso , Nuno C. Marques

Originating from image recognition, methods of machine learning allow for effective feature extraction and dimensionality reduction in multidimensional datasets, thereby providing an extraordinary tool to deal with classical and quantum…

Statistical Mechanics · Physics 2019-01-16 Albert A. Shirinyan , Valerii K. Kozin , Johan Hellsvik , Manuel Pereiro , Olle Eriksson , Dmitry Yudin

Self-organizing map(SOM) have been widely applied in clustering, this paper focused on centroids of clusters and what they reveal. When the input vectors consists of time, latitude and longitude, the map can be strongly linked to physical…

Machine Learning · Computer Science 2016-09-30 Yu Ding

We propose a Parton Distribution Function (PDF) fitting technique which is based on an interactive neural network algorithm using Self-Organizing Maps (SOMs). SOMs are visualization algorithms based on competitive learning among…

High Energy Physics - Phenomenology · Physics 2016-04-26 H. Honkanen , S. Liuti

A model of a geometric algorithm is introduced and methodology of its operation is presented for the dynamic partitioning of data spaces.

Data Structures and Algorithms · Computer Science 2014-12-30 Christopher A. Tucker

Self Organizing Map is trained using unsupervised learning to produce a two-dimensional discretized representation of input space of the training cases. Growing Hierarchical SOM is an architecture which grows both in a hierarchical way…

Neural and Evolutionary Computing · Computer Science 2018-04-11 Takumi Ichimura , Takashi Yamaguchi

Different classes of communication network topologies and their representation in the form of adjacency matrix and its eigenvalues are presented. A self-organizing feature map neural network is used to map different classes of communication…

Neural and Evolutionary Computing · Computer Science 2007-05-23 W. Ali , R. J. Mondragon , F. Alavi

Neural network algorithms have been recently applied to construct Parton Distribution Function (PDF) parametrizations which provide an alternative to standard global fitting procedures. We propose a technique based on an interactive neural…

High Energy Physics - Phenomenology · Physics 2009-04-30 J. Carnahan , H. Honkanen , S. Liuti , Y. Loitiere , P. R. Reynolds