The Mean Angular Distance Among Objects and its Relationships with Kohonen Artificial Neural Networks

This job refers to classification of multidimensional objects and Kohonen artificial neural networks. A new concept is introduced, called the mean angular distance among objects (MADO). Its value can be calculated as the cosine of the mean centered vectors between objects. It can be expressed in mat...

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Detalles Bibliográficos
Publicado: 2003
Materias:
Air quality
Angle measurement
Chemical analysis
Sulfur dioxide
Vectors
Data sets
Neural networks
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00952338_v43_n5_p1403_Magallanes
http://hdl.handle.net/20.500.12110/paper_00952338_v43_n5_p1403_Magallanes
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00952338_v43_n5_p1403_Magallanes
record_format dspace
spelling paper:paper_00952338_v43_n5_p1403_Magallanes2023-06-08T15:09:39Z The Mean Angular Distance Among Objects and its Relationships with Kohonen Artificial Neural Networks Air quality Angle measurement Chemical analysis Sulfur dioxide Vectors Data sets Neural networks This job refers to classification of multidimensional objects and Kohonen artificial neural networks. A new concept is introduced, called the mean angular distance among objects (MADO). Its value can be calculated as the cosine of the mean centered vectors between objects. It can be expressed in matrix form for any number of objects. The MADO allows us to interpret the final organization of the objects in a Kohonen map. Simulated examples demonstrate the relationship between MADO and Kohonen maps and show a way to take advantage of the information present in both of them. Finally, a real analytical chemistry case is analyzed as an application on a big data set of an air quality monitoring campaign. It is possible to discover in it a subgroup of objects with different characteristics than those of the general trend. This subgroup is linked to the existence of an unidentified SO2 source that, a priori, has not been taken into account. 2003 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00952338_v43_n5_p1403_Magallanes http://hdl.handle.net/20.500.12110/paper_00952338_v43_n5_p1403_Magallanes
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Air quality
Angle measurement
Chemical analysis
Sulfur dioxide
Vectors
Data sets
Neural networks
spellingShingle Air quality
Angle measurement
Chemical analysis
Sulfur dioxide
Vectors
Data sets
Neural networks
The Mean Angular Distance Among Objects and its Relationships with Kohonen Artificial Neural Networks
topic_facet Air quality
Angle measurement
Chemical analysis
Sulfur dioxide
Vectors
Data sets
Neural networks
description This job refers to classification of multidimensional objects and Kohonen artificial neural networks. A new concept is introduced, called the mean angular distance among objects (MADO). Its value can be calculated as the cosine of the mean centered vectors between objects. It can be expressed in matrix form for any number of objects. The MADO allows us to interpret the final organization of the objects in a Kohonen map. Simulated examples demonstrate the relationship between MADO and Kohonen maps and show a way to take advantage of the information present in both of them. Finally, a real analytical chemistry case is analyzed as an application on a big data set of an air quality monitoring campaign. It is possible to discover in it a subgroup of objects with different characteristics than those of the general trend. This subgroup is linked to the existence of an unidentified SO2 source that, a priori, has not been taken into account.
title The Mean Angular Distance Among Objects and its Relationships with Kohonen Artificial Neural Networks
title_short The Mean Angular Distance Among Objects and its Relationships with Kohonen Artificial Neural Networks
title_full The Mean Angular Distance Among Objects and its Relationships with Kohonen Artificial Neural Networks
title_fullStr The Mean Angular Distance Among Objects and its Relationships with Kohonen Artificial Neural Networks
title_full_unstemmed The Mean Angular Distance Among Objects and its Relationships with Kohonen Artificial Neural Networks
title_sort mean angular distance among objects and its relationships with kohonen artificial neural networks
publishDate 2003
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00952338_v43_n5_p1403_Magallanes
http://hdl.handle.net/20.500.12110/paper_00952338_v43_n5_p1403_Magallanes
_version_ 1768541649882841088

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