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We consider different ways to control the magnification in self-organizing maps (SOM) and neural gas (NG). Starting from early approaches of magnification control in vector quantization, we then concentrate on different approaches for SOM…

无序系统与神经网络 · 物理学 2007-05-23 Thomas Villmann , Jens Christian Claussen

Self-Organising Maps (SOM) are Artificial Neural Networks used in Pattern Recognition tasks. Their major advantage over other architectures is human readability of a model. However, they often gain poorer accuracy. Mostly used metric in SOM…

机器学习 · 计算机科学 2014-07-07 Piotr Płoński , Krzysztof Zaremba

The growing amount of data produced by simulations and observations of space physics processes encourages the use of methods rooted in Machine Learning for data analysis and physical discovery. We apply a clustering method based on…

等离子体物理 · 物理学 2023-04-27 Sophia Köhne , Elisabetta Boella , Maria Elena Innocenti

Nowadays, with the advance of technology, there is an increasing amount of unstructured data being generated every day. However, it is a painful job to label and organize it. Labeling is an expensive, time-consuming, and difficult task. It…

机器学习 · 计算机科学 2020-06-25 Pedro H. M. Braga , Heitor R. Medeiros , Hansenclever F. Bassani

In the recent years, there is a growing interest in semi-supervised learning, since, in many learning tasks, there is a plentiful supply of unlabeled data, but insufficient labeled ones. Hence, Semi-Supervised learning models can benefit…

机器学习 · 计算机科学 2020-03-27 Pedro H. M. Braga , Hansenclever F. Bassani

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…

高能物理 - 唯象学 · 物理学 2016-04-26 H. Honkanen , S. Liuti

Parameter prediction is essential for many applications, facilitating insightful interpretation and decision-making. However, in many real life domains, such as power systems, medicine, and engineering, it can be very expensive to acquire…

机器学习 · 计算机科学 2024-02-16 Zimeng Lyu , Alexander Ororbia , Rui Li , Travis Desell

Continual learning poses a fundamental challenge for neural systems, which often suffer from catastrophic forgetting when exposed to sequential tasks. Self-Organizing Maps (SOMs), despite their interpretability and efficiency, are not…

机器学习 · 计算机科学 2026-03-19 Igor Urbanik , Paweł Gajewski

This paper takes an information visualization perspective to visual representations in the general SOM paradigm. This involves viewing SOM-based visualizations through the eyes of Bertin's and Tufte's theories on data graphics. The regular…

机器学习 · 计算机科学 2013-06-26 Peter Sarlin , Samuel Rönnqvist

Vector-quantized representations enable powerful discrete generative models but lack semantic structure in token space, limiting interpretable human control. We introduce SOM-VQ, a tokenization method that combines vector quantization with…

机器学习 · 计算机科学 2026-02-25 Alessandro Londei , Denise Lanzieri , Matteo Benati

This paper proposes schemes for automated and weighted Self-Organizing Time Maps (SOTMs). The SOTM provides means for a visual approach to evolutionary clustering, which aims at producing a sequence of clustering solutions. This task we…

神经与进化计算 · 计算机科学 2013-11-25 Peter Sarlin

This paper presents a technique in classifying the images into a number of classes or clusters desired by means of Self Organizing Map (SOM) Artificial Neural Network method. A number of 250 color images to be classified as previously done…

信息检索 · 计算机科学 2012-06-04 Dian Pratiwi

The self-organizing map (SOM) is an unsupervised artificial neural network that is widely used in, e.g., data mining and visualization. Supervised and semi-supervised learning methods have been proposed for the SOM. However, their teacher…

神经与进化计算 · 计算机科学 2020-03-03 Akinari Onishi

The Self-Organizing Map (SOM) with its related extensions is the most popular artificial neural algorithm for use in unsupervised learning, clustering, classification and data visualization. Over 5,000 publications have been reported in the…

神经与进化计算 · 计算机科学 2011-11-09 Marie Cottrell , Michel Verleysen

Self-Organizing Maps (SOMs) provide topology-preserving projections of high-dimensional data, yet their use as generative models remains largely unexplored. We show that the activation pattern of a SOM -- the squared distances to its…

机器学习 · 计算机科学 2026-02-24 Alessandro Londei , Matteo Benati , Denise Lanzieri , Vittorio Loreto

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…

量子物理 · 物理学 2007-05-23 Li Weigang

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,…

机器学习 · 计算机科学 2014-05-06 Peter Sarlin

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…

高能物理 - 唯象学 · 物理学 2017-08-23 H. Honkanen , S. Liuti , Y. C. Loitiere , D. Brogan , P. Reynolds

The Parameter-Less Self-Organizing Map (PLSOM) is a new neural network algorithm based on the Self-Organizing Map (SOM). It eliminates the need for a learning rate and annealing schemes for learning rate and neighbourhood size. We discuss…

神经与进化计算 · 计算机科学 2007-05-23 Erik Berglund , Joaquin Sitte

This work presents a mathematical treatment of the relation between Self-Organizing Maps (SOMs) and Gaussian Mixture Models (GMMs). We show that energy-based SOM models can be interpreted as performing gradient descent, minimizing an…

机器学习 · 计算机科学 2020-09-25 Alexander Gepperth , Benedikt Pfülb