Analytical space for data representation and interactive analysis
In the article the notion of analytical space is introduced and its application to data representation and interactive analysis is studied. Analytical space is defined through membership relation among its elements where each element is characterised by its extensional and intensional. All data elem...
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Format: | Article |
Language: | English |
Published: |
Vladimir Andrunachievici Institute of Mathematics and Computer Science
2002-01-01
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Series: | Computer Science Journal of Moldova |
Online Access: | http://www.math.md/nrofdownloads.php?file=/files/csjm/v10-n1/v10-n1-(pp59-80).pdf |
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author | Alexandr A. Savinov |
author_facet | Alexandr A. Savinov |
author_sort | Alexandr A. Savinov |
collection | DOAJ |
description | In the article the notion of analytical space is introduced and its application to data representation and interactive analysis is studied. Analytical space is defined through membership relation among its elements where each element is characterised by its extensional and intensional. All data element properties are derived from this fundamental relation. Inference in analytical space is thought of as finding mapping from one subspace into another and is carried out through propagation of information by means of deaggregation and aggregation operations. The general goal of data analysis is defined to be simplifying the form of representation with simultaneous retaining most of the data semantics. An interactive data analysis procedure is proposed, which is based on selecting interesting subspaces in analytical space, finding mapping from this space into the range of values by means of inference and finally visualising this mapping in an appropriate form. |
first_indexed | 2024-04-14T01:27:44Z |
format | Article |
id | doaj.art-f52fa3f989fe49edb7355353ed7fd80d |
institution | Directory Open Access Journal |
issn | 1561-4042 |
language | English |
last_indexed | 2024-04-14T01:27:44Z |
publishDate | 2002-01-01 |
publisher | Vladimir Andrunachievici Institute of Mathematics and Computer Science |
record_format | Article |
series | Computer Science Journal of Moldova |
spelling | doaj.art-f52fa3f989fe49edb7355353ed7fd80d2022-12-22T02:20:21ZengVladimir Andrunachievici Institute of Mathematics and Computer ScienceComputer Science Journal of Moldova1561-40422002-01-01101(28)5980Analytical space for data representation and interactive analysisAlexandr A. Savinov0Institute of Mathematics and Informatics, Academy of Sciences of Moldova str. Academiei 5, MD-2028 Chisinau, Moldova; Fraunhofer Institute for Autonomous Intelligent Systems, Schloss Birlinghoven, D-53754 Sankt-Augustin, GermanyIn the article the notion of analytical space is introduced and its application to data representation and interactive analysis is studied. Analytical space is defined through membership relation among its elements where each element is characterised by its extensional and intensional. All data element properties are derived from this fundamental relation. Inference in analytical space is thought of as finding mapping from one subspace into another and is carried out through propagation of information by means of deaggregation and aggregation operations. The general goal of data analysis is defined to be simplifying the form of representation with simultaneous retaining most of the data semantics. An interactive data analysis procedure is proposed, which is based on selecting interesting subspaces in analytical space, finding mapping from this space into the range of values by means of inference and finally visualising this mapping in an appropriate form.http://www.math.md/nrofdownloads.php?file=/files/csjm/v10-n1/v10-n1-(pp59-80).pdf |
spellingShingle | Alexandr A. Savinov Analytical space for data representation and interactive analysis Computer Science Journal of Moldova |
title | Analytical space for data representation and interactive analysis |
title_full | Analytical space for data representation and interactive analysis |
title_fullStr | Analytical space for data representation and interactive analysis |
title_full_unstemmed | Analytical space for data representation and interactive analysis |
title_short | Analytical space for data representation and interactive analysis |
title_sort | analytical space for data representation and interactive analysis |
url | http://www.math.md/nrofdownloads.php?file=/files/csjm/v10-n1/v10-n1-(pp59-80).pdf |
work_keys_str_mv | AT alexandrasavinov analyticalspacefordatarepresentationandinteractiveanalysis |