Factorizing three-way ordinal data using triadic formal concepts

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F11%3A10225088" target="_blank" >RIV/61989592:15310/11:10225088 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Factorizing three-way ordinal data using triadic formal concepts

Popis výsledku v původním jazyce

The paper presents a new approach to factor analysis of three-way ordinal data, i.e. data described by a 3-dimensional matrix I with values in an ordered scale. The matrix describes a relationship between objects, attributes, and conditions. The problemconsists in find- ing factors for I, i.e. finding a decomposition of I into three matrices, an object-factor matrix A, an attribute-factor matrix B, and a condition- factor matrix C, with the number of factors as small as possible. The difference from the decomposition-based methods of analysis of three- way data consists in the composition operator and the constraint on A, B, and C to be matrices with values in an ordered scale. We prove that optimal decompositions are achieved by using triadic concepts of I, developed within formal concept analysis, and provide results on natu- ral transformations between the space of attributes and conditions and the space of factors.

Název v anglickém jazyce

Factorizing three-way ordinal data using triadic formal concepts

Popis výsledku anglicky

The paper presents a new approach to factor analysis of three-way ordinal data, i.e. data described by a 3-dimensional matrix I with values in an ordered scale. The matrix describes a relationship between objects, attributes, and conditions. The problemconsists in find- ing factors for I, i.e. finding a decomposition of I into three matrices, an object-factor matrix A, an attribute-factor matrix B, and a condition- factor matrix C, with the number of factors as small as possible. The difference from the decomposition-based methods of analysis of three- way data consists in the composition operator and the constraint on A, B, and C to be matrices with values in an ordered scale. We prove that optimal decompositions are achieved by using triadic concepts of I, developed within formal concept analysis, and provide results on natu- ral transformations between the space of attributes and conditions and the space of factors.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

IN - Informatika

OECD FORD obor

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Projekt

<a href="/cs/project/GAP202%2F10%2F0262" target="_blank" >GAP202/10/0262: Rozklady matic s binárními a ordinálními daty: teorie, algoritmy, složitost</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Lecture Notes in Artificial Intelligence

ISSN

0302-9743

e-ISSN

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Svazek periodika

7022

Číslo periodika v rámci svazku

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Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

12

Strana od-do

400-411

Kód UT WoS článku

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EID výsledku v databázi Scopus

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