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Title: Self-Organizing Maps and Their Applications to Data Analysis

Abstract

Self-Organizing Maps(SOMs) are a form of unsupervised neural network that are used for visualization and exploratory data analysis of high dimensional datasets. Our goal was to understand how we can use a SOM to gain insights about datasets. We do this by first understanding the initialization, training, error metrics, and convergence properties of the SOM. Next we discuss the ways to interpret and visualize a Self-Organizing Map. Finally we used real datasets to understand what the Self-Organizing Map can tell us about labeled and unlabeled data. Based on experiments with our datasets we found that the Self-Organizing Map can tell us about the spacing and position of high dimensional clusters, help us find non-linear patterns, and give us insight into the shape of our data.

Authors:
 [1];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1566795
Report Number(s):
LLNL-TR-791165
989807
DOE Contract Number:  
AC52-07NA27344
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
Mathematics and Computing

Citation Formats

Ponmalai, Ravi, and Kamath, Chandrika. Self-Organizing Maps and Their Applications to Data Analysis. United States: N. p., 2019. Web. doi:10.2172/1566795.
Ponmalai, Ravi, & Kamath, Chandrika. Self-Organizing Maps and Their Applications to Data Analysis. United States. https://doi.org/10.2172/1566795
Ponmalai, Ravi, and Kamath, Chandrika. 2019. "Self-Organizing Maps and Their Applications to Data Analysis". United States. https://doi.org/10.2172/1566795. https://www.osti.gov/servlets/purl/1566795.
@article{osti_1566795,
title = {Self-Organizing Maps and Their Applications to Data Analysis},
author = {Ponmalai, Ravi and Kamath, Chandrika},
abstractNote = {Self-Organizing Maps(SOMs) are a form of unsupervised neural network that are used for visualization and exploratory data analysis of high dimensional datasets. Our goal was to understand how we can use a SOM to gain insights about datasets. We do this by first understanding the initialization, training, error metrics, and convergence properties of the SOM. Next we discuss the ways to interpret and visualize a Self-Organizing Map. Finally we used real datasets to understand what the Self-Organizing Map can tell us about labeled and unlabeled data. Based on experiments with our datasets we found that the Self-Organizing Map can tell us about the spacing and position of high dimensional clusters, help us find non-linear patterns, and give us insight into the shape of our data.},
doi = {10.2172/1566795},
url = {https://www.osti.gov/biblio/1566795}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Sep 24 00:00:00 EDT 2019},
month = {Tue Sep 24 00:00:00 EDT 2019}
}