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...

Full description

Bibliographic Details
Main Author: Alexandr A. Savinov
Format: Article
Language:English
Published: Vladimir Andrunachievici Institute of Mathematics and Computer Science 2002-01-01
Series:Computer Science Journal of Moldova
Online Access:http://www.math.md/nrofdownloads.php?file=/files/csjm/v10-n1/v10-n1-(pp59-80).pdf
_version_ 1817992513829470208
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