Optimal decompositions of matrices with grades
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F08%3A00005383" target="_blank" >RIV/61989592:15310/08:00005383 - isvavai.cz</a>
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Optimal decompositions of matrices with grades
Original language description
We present theoretical results regarding decomposition of matrices with grades, i.e. matrices I with entries from a bounded ordered set L such as the real unit interval [0, 1]. If I is such an n xm matrix, we look for a decomposition of I into a productAB of an nxk matrix A and a kxmmatrix B with entries from L with k as small as possible. This problem generalizes the decomposition problem of Boolean factor analysis which is a particular case when L has just two elements 0 and 1. The product we consider is a supt-norm product of which the well known max-min product of Boolean matrices as well as max-min and max-? product of matrices with entries from [0, 1] are particular examples. I, A, and B can be interpreted as object x attribute, object x factor,and factor x attribute matrices describing degrees of expression of attributes on objects, factors on objects, and attributes on factors. In this interpretation, a decomposition I into A B corresponds to discovery of k factors explaining
Czech name
Optimální dekompozice matic se stupni
Czech description
Článek se zabývá problematikou optimalních dekompozic matic se stupni.
Classification
Type
D - Article in proceedings
CEP classification
BD - Information theory
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
2008 Fourth International IEEE Conference on Intelligent Systems
ISBN
978-1-4244-1740-7
ISSN
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e-ISSN
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Number of pages
1000
Pages from-to
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Publisher name
Varna, Bulgaria
Place of publication
Varna, Bulgaria
Event location
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Event date
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Type of event by nationality
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UT code for WoS article
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