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Self-organizing maps (SOM) are widely used for their topology preservation property: neighboring input vectors are quantified (or classified) either on the same location or on neighbor ones on a predefined grid. SOM are also widely used for…

Statistics Theory · Mathematics 2016-08-14 Eric De Bodt , Marie Cottrell , Patrick Letrémy , Michel Verleysen

Websites of a particular class form increasingly complex networks, and new tools are needed to map and understand them. A way of visualizing this complex network is by mapping it. A map highlights which members of the community have similar…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Juan-J. Merelo-Guervos , Beatriz Prieto , Fatima Rateb , Fernando Tricas

We discuss the property of a.e. and in mean convergence of the Kohonen algorithm considered as a stochastic process. The various conditions ensuring the a.e. convergence are described and the connection with the rate decay of the learning…

Quantitative Methods · Quantitative Biology 2008-09-30 Daniela Bianchi , Raffaele Calogero , Brunello Tirozzi

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…

Neural and Evolutionary Computing · Computer Science 2011-11-09 Marie Cottrell , Michel Verleysen

The wealth of data being gathered about humans and their surroundings drives new machine learning applications in various fields. Consequently, more and more often, classifiers are trained using not only numerical data but also complex data…

Machine Learning · Computer Science 2022-04-13 Maciej Piernik , Dariusz Brzezinski , Pawel Zawadzki

Results of neural network learning are always subject to some variability, due to the sensitivity to initial conditions, to convergence to local minima, and, sometimes more dramatically, to sampling variability. This paper presents a set of…

Statistics Theory · Mathematics 2007-06-13 Eric De Bodt , Marie Cottrell , Michel Verleysen

Kohonen's Adaptive Subspace Self-Organizing Map (ASSOM) learns several subspaces of the data where each subspace represents some invariant characteristics of the data. To deal with the imbalance classification problem, earlier we have…

Signal Processing · Electrical Eng. & Systems 2020-10-08 Chin-Teng Lin , Kuan-Chih Huang , Yu-Ting Liu , Yang-Yin Lin , Tsung-Yu Hsieh , Nikhil R. Pal , Shang-Lin Wu , Chieh-Ning Fang , Zehong Cao

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

We develop an encompassing framework for matching, covariate balancing, and doubly-robust methods for causal inference from observational data called generalized optimal matching (GOM). The framework is given by generalizing a new…

Machine Learning · Statistics 2017-10-30 Nathan Kallus

In this position paper, we discuss how the use of a cognitive architecture based on unsupervised clustering (the Kohonen Self-Organizing Map) enables us to meet our goals of efficient action selection in a mobile robot. This architecture…

Robotics · Computer Science 2016-02-29 Gabriel J. Ferrer

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

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

We study the statistical meaning of the minimization of distortion measure and the relation between the equilibrium points of the SOM algorithm and the minima of distortion measure. If we assume that the observations and the map lie in an…

Machine Learning · Statistics 2008-02-22 Joseph Rynkiewicz

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

Web 2.0 services have enabled people to express their opinions, experience and feelings in the form of user-generated content. Sentiment analysis or opinion mining involves identifying, classifying and aggregating opinions as per their…

Information Retrieval · Computer Science 2013-09-17 Anuj Sharma , Shubhamoy Dey

We introduce a multidimensional, neural-network approach to reveal and measure urban segregation phenomena, based on the Self-Organizing Map algorithm (SOM). The multidimensionality of SOM allows one to apprehend a large number of variables…

Physics and Society · Physics 2018-06-06 Madalina Olteanu , Aurélien Hazan , Marie Cottrell , Julien Randon-Furling

Sample coordination, where similar instances have similar samples, was proposed by statisticians four decades ago as a way to maximize overlap in repeated surveys. Coordinated sampling had been since used for summarizing massive data sets.…

Databases · Computer Science 2013-08-05 Edith Cohen , Haim Kaplan

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

A phoneme-retrieval technique is proposed, which is due to the particular way of the construction of the network. An initial set of neurons is given. The number of these neurons is approximately equal to the number of typical structures of…

Computation and Language · Computer Science 2023-07-27 Brunello Tirozzi , Orchidea Maria Lecian

Self Organizing Map (SOM) has been applied into several classical modeling tasks including clustering, classification, function approximation and visualization of high dimensional spaces. The final products of a trained SOM are a set of…

Computational Engineering, Finance, and Science · Computer Science 2014-08-07 Vahid Moosavi