About: Decompositions of matrices with binary and ordinal data: theory, algorithms, and complexity

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Projekt, within Data Space : linked.opendata.cz associated with source document(s)

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rdfs:seeAlso	http://www.isvav.cz/projectDetail.do?rowId=GAP202/10/0262
Description	The proposed project focuses on decompositions of matrices with binary and ordinal data and their utilization in dimensionality reduction of binary and ordinal data. The main goals of the projectinclude: development of theoretical foundations for the decompositions and the calculus behind thedecompositions, with emphasis on the aspects related to design of algorithms; development of efficient algorithms for the decompositions, with emphasis on algorithms based on using fixpoints of closure operators and attractors of associative neural networks as factors for decompositions; development of computational complexity results regarding the algorithms for and problems involved in the decompositions; experiments and relationship to related methods of data analysis. Main outputsof the project are publications in premier journals and conferences in the field. The project focuses on basic research but has a potential to foster development in applied disciplines of science andengineering as well as a development of applications in various fields. (en) Předkládaný projekt je zaměřen na vývoj metod pro rozklady matic s binárními a ordinálními daty a jejich použití v redukci dimenzionality binárních a ordinálních dat. Mezi hlavní cíle projektu patří: Vývoj teoretických základů pro rozklady matic a kalkulu pro tyto dekompozice, se zaměřením na aspekty související s návrhem algoritmů pro dekompozice; vývoj efektivních algoritmů pro dekompozice, se zaměřením na algoritmy používající pevné body uzávěrových operátorů a atraktory asociativních neuronových sítí jako faktorů pro dekompozice; výsledky v oblasti složitosti algoritmů pro dekompozice a problémů souvisejících se dekompozicemi; experimenty a vztah k souvisejícím metodám analýzy dat. Mezi hlavní výstupy projektu patří publikace v předních časopisech a konferencích v oboru. Projekt má povahu základního výzkumu, ale má potenciál podpořit vývoj v aplikovaných disciplínách i přímé aplikace v různých oblastech.
Title	Decompositions of matrices with binary and ordinal data: theory, algorithms, and complexity (en) Rozklady matic s binárními a ordinálními daty: teorie, algoritmy, složitost
skos:notation	GAP202/10/0262
http://linked.open...avai/cep/aktivita	Standard projects
http://linked.open...kovaStatniPodpora	http://linked.opendata.cz/resource/domain/vavai/projekt/GAP202%2F10%2F0262/celkovaStatniPodpora
http://linked.open...ep/celkoveNaklady	http://linked.opendata.cz/resource/domain/vavai/projekt/GAP202%2F10%2F0262/celkoveNaklady
http://linked.open...datumDodatniDoRIV	2014-01-30 (xsd:date)
http://linked.open...i/cep/druhSouteze	VS - Veřejná soutěž ve výzkumu a vývoji
http://linked.open...ep/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open.../cep/fazeProjektu	92543000
http://linked.open...ai/cep/hlavniObor	IN - Informatika
http://linked.open...hodnoceniProjektu	V - Vynikající výsledky (s mezinárodním významem apod.). Zároveň byly splněny cíle a předpokládané výsledky uvedené ve smlouvě / rozhodnutí o poskytnutí podpory.
http://linked.open...vai/cep/kategorie	ZV - Základní výzkum
http://linked.open.../cep/klicovaSlova	binary; and; ordinal; data; matrix; decompositions; factor; analysis; dimensionality; reduction (en)
http://linked.open...ep/partnetrHlavni	Přírodovědecká fakulta
http://linked.open...inujicichPrijemcu	0 (xsd:int)
http://linked.open...cep/pocetPrijemcu	1 (xsd:int)
http://linked.open...ocetSpoluPrijemcu	2 (xsd:int)
http://linked.open.../pocetVysledkuRIV	59 (xsd:int)
http://linked.open...enychVysledkuVRIV	59 (xsd:int)
http://linked.open...lneniVMinulemRoce	2012-03-30 (xsd:date)
http://linked.open.../prideleniPodpory	http://linked.opendata.cz/resource/domain/vavai/cep/prideleniPodpory/P202%2F10%2F0262
http://linked.open...iciPoslednihoRoku	2012
http://linked.open...atUdajeProjZameru	2013
http://linked.open.../vavai/cep/soutez	SGA02010GA-ST
http://linked.open...usZobrazovaneFaze	DUU
http://linked.open...ai/cep/typPojektu	P - Projekt výzkumu a vývoje financovaný ze státního rozpočtu
http://linked.open...ep/ukonceniReseni	2012-12-31 (xsd:date)
http://linked.open.../cep/vedlejsiObor	BA - Obecná matematika
http://linked.open...ep/zahajeniReseni	2010-01-01 (xsd:date)
http://linked.open...jektu+dodavatelem	The project outcomes are in the area of methods and algorithms for dimensionality reduction and matrix decompositions. The project involved an active participation of PhD students (two of them successfully defended their PhD theses). The number and quality of published papers is impressive. Financial resources have been used efficiently. (en) Hlavním přínosem projektu jsou nové výsledky v oblasti metod pro redukci dimenze vícerozměrných dat a související teorie matic. Závěrečná karta reflektuje hlavní výsledky projektu adekvátně. Do projektu byli zapojeni studenti dokt. studia, dva z nich během projektu studium dokončili. Množství a kvalita publikačních výstupů je na vynikající úrovni, finanční prostředky byly vynaloženy účelně. (cs)
http://linked.open...tniCyklusProjektu	ZBKU
http://linked.open.../cep/klicoveSlovo	binary analysis and data decompositions dimensionality factor matrix ordinal
is http://linked.open...vavai/riv/projekt of	Fuzzy relational equations in general framework Triadic concept lattices of data with graded attributes Triadic fuzzy Galois connections as ordinary connections Boolean Factor Analysis by Expectation-Maximization Method Brain Computer Interface Enhancement by Independent Component Analysis Ordinally equivalent data: A measurement-theoretic look at formal concept analysis of fuzzy attributes Boolean Factor Analysis by the Expectation-Maximization Algorithm Clustering with Mixed Type Variables and Determination of Cluster Numbers Evaluation of Categorical Data Clustering Factorizing three-way ordinal data using triadic formal concepts Expectation-Maximization Approach to Boolean Factor Analysis Interpretation and Combination of Results of Dimensionality Reduction Methods by Fuzzy Cluster Analysis Isotone fuzzy Galois connections with hedges Sources of brain activity relevant and not relevant for classifying of EEG patterns, corresponding to motor imagination Srovnání metod pro redukci dimenzionality aplikovaných na ordinální proměnné Using frequent closed itemsets for data dimensionality reduction What is a Fuzzy Concept Lattice? II. A comparative study of two methodologies for binary datasets analysis BFA and BMF: What is the Difference Bivalent and Other Solutions of Fuzzy Relational Equations via Linguistic Hedges Advanced Mining of Association Rules over Periodic Snapshots in a Data Warehouse Comparison of Selected Methods for Document Clustering Comparison of Classical Dimensionality Reduction Methods with Novel Approach Based on Formal Concept Analysis Comparison of classical dimensionality reduction methods with novel approach based on formal concept analysis Closure Spaces of Isotone Galois Connections and Their Morphisms Comparison of four classification methods for brain-computer interface Cluster analysis method based on Bayesian theorem Closure-based constraints in formal concept analysis Analýza vztahů ordinálních proměných aplikovaná na úrovně kompetencí absolventů vysokých škol Attractor Neural Network Combined with Likelihood Maximization Algorithm for Boolean Factor Analysis Competences of graduates of University of Economics, Prague: Analysis of achived and required levels Simple Proof of Basic Theorem for General Concept Lattices by Cartesian Representation Sources of Electrical Brain Activity Most Relevant to Performance of Brain-Computer Interface Based on Motor Imagery Concept lattices of isotone vs. antitone Galois connections in graded setting: mutual reducibility revisited Fuzzy Clustering: Determining the Number of Clusters Factor analysis of sports data via decomposition of matrices with grades Sources of EEG activity most relevant to performance of brain-computer interface based on motor imagery Modelling selected indicators of the financial situation of households in the Czech Republic Optimal decompositions of matrices with grades into binary and graded matrices Residuated lattices of size .lt.= 12 Operators and Spaces Associated to Matrices with Grades and Their Decompositions II Factorizing three-way binary data Factorizing three-way binary data with triadic formal concepts Triadic concept analysis of data with fuzzy attributes. Optimal factorization of three-way binary data Bulevskij faktornyj analiz na osnove attraktornoj nejronnoj seti i nekotoryje ego priloženija Brain-Computer Interface: Common Tensor Discriminant Analysis Classifier Evaluation Mining Biclusters of Similar Values with Triadic Concept Analysis New Measure of Boolean Factor Analysis Quality Reducing sup-t-norm and inf-residuum to a single type of fuzzy relational equations Optimal decompositions of matrices with entries from residuated lattices Row and Column Spaces of Matrices over Residuated Lattices Sup-t-norm and inf-residuum are one type of relational product: unifying framework and consequences. Using intensifying hedges to reduce size of multi-adjoint concept lattices with heterogeneous conjunctors

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