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Description
| - 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 problem consists 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.
- 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 problem consists 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. (en)
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Title
| - Factorizing three-way ordinal data using triadic formal concepts
- Factorizing three-way ordinal data using triadic formal concepts (en)
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skos:prefLabel
| - Factorizing three-way ordinal data using triadic formal concepts
- Factorizing three-way ordinal data using triadic formal concepts (en)
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skos:notation
| - RIV/61989592:15310/11:10225088!RIV12-GA0-15310___
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http://linked.open...avai/predkladatel
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/61989592:15310/11:10225088
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - concept analysis, matrix decomposition, tree-way data (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - DE - Spolková republika Německo
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Lecture Notes in Artificial Intelligence
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Bělohlávek, Radim
- Vychodil, Vilém
- Osička, Petr
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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is http://linked.open...avai/riv/vysledek
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