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Volumn 34, Issue 2, 2013, Pages 243-265

Non-negative Tri-factor tensor decomposition with applications

Author keywords

Non negative matrix factorization; Non negative tensor decomposition

Indexed keywords

CLUSTERING ALGORITHMS; FACTORIZATION; IMAGE RECONSTRUCTION; TENSORS;

EID: 84872610530     PISSN: 02191377     EISSN: 02193116     Source Type: Journal    
DOI: 10.1007/s10115-011-0460-y     Document Type: Article
Times cited : (25)

References (54)
  • 4
    • 0009238945 scopus 로고
    • On the interface between cluster analysis, principal components, and multidimensional scaling
    • Reidel Publishing Co., Dordrecht
    • Bock HH (1986) On the interface between cluster analysis, principal components, and multidimensional scaling. In: Proceedings of advances symposium on multivariate modelling and data analysis. Reidel Publishing Co., Dordrecht, pp 17-34
    • (1986) Proceedings of Advances Symposium On Multivariate Modelling and Data Analysis , pp. 17-34
    • Bock, H.H.1
  • 5
    • 0037349395 scopus 로고    scopus 로고
    • Projection pursuit clustering for exploratory data analysis
    • Bolton RJ, Krzanowski WJ (2003) Projection pursuit clustering for exploratory data analysis. J Comput Graph Stat 12:121-142
    • (2003) J Comput Graph Stat , vol.12 , pp. 121-142
    • Bolton, R.J.1    Krzanowski, W.J.2
  • 10
    • 34547965335 scopus 로고    scopus 로고
    • Adaptive dimension reduction using discriminant analysis and k-means clustering
    • Ding C, Li T (2007) Adaptive dimension reduction using discriminant analysis and k-means clustering. In: ICML, pp 521-528
    • (2007) ICML , pp. 521-528
    • Ding, C.1    Li, T.2
  • 12
    • 33749575326 scopus 로고    scopus 로고
    • Orthogonal nonnegative matrix tri-factorizations for clustering
    • Ding C, Li T, Peng W, Park H (2006) Orthogonal nonnegative matrix tri-factorizations for clustering. In: SIGKDD, pp 126-135
    • (2006) SIGKDD , pp. 126-135
    • Ding, C.1    Li, T.2    Peng, W.3    Park, H.4
  • 14
    • 77952375075 scopus 로고    scopus 로고
    • Information-theoretical co-clustering
    • Dhillon IS, Mallela S, Modha DS (2003) Information-theoretical co-clustering. In: SIGKDD, pp 89-98
    • (2003) SIGKDD , pp. 89-98
    • Dhillon, I.S.1    Mallela, S.2    Modha, D.S.3
  • 15
    • 34250225890 scopus 로고
    • GENNCLUS: New models for general non-hierarchical clustering analysis
    • DeSarbo WS (1982) GENNCLUS: new models for general non-hierarchical clustering analysis. Psycho-metrika 47:449-475
    • (1982) Psycho-metrika , vol.47 , pp. 449-475
    • Desarbo, W.S.1
  • 17
    • 0000802374 scopus 로고
    • The approximation of one matrix by another of lower rank
    • Eckart C, Young G (1936) The approximation of one matrix by another of lower rank. Psychometrika 1:183-187
    • (1936) Psychometrika , vol.1 , pp. 183-187
    • Eckart, C.1    Young, G.2
  • 19
    • 21344435020 scopus 로고
    • Simultaneous clustering of rows and columns
    • Govaert G (1995) Simultaneous clustering of rows and columns. Control Cybern 24:437-458
    • (1995) Control Cybern , vol.24 , pp. 437-458
    • Govaert, G.1
  • 26
    • 0002332422 scopus 로고
    • Principal component analysis of three-mode data by means of alternating least squares algorithms
    • Kroonenberg PM, De Leeuw J (1980) Principal component analysis of three-mode data by means of alternating least squares algorithms. Psychometrika 45:69-97
    • (1980) Psychometrika , vol.45 , pp. 69-97
    • Kroonenberg, P.M.1    de Leeuw, J.2
  • 27
    • 0036055687 scopus 로고    scopus 로고
    • Orthogonal tensor decomposition
    • Kolda T (2001) Orthogonal tensor decomposition. SIAM J Matrix Anal Appl 23:243-255
    • (2001) SIAM J Matrix Anal Appl , vol.23 , pp. 243-255
    • Kolda, T.1
  • 29
    • 0033592606 scopus 로고    scopus 로고
    • Learning the parts of objects by non-negative matrix factorization
    • Lee D, Seung HS (1999) Learning the parts of objects by non-negative matrix factorization. Nature 401:788-791
    • (1999) Nature , vol.401 , pp. 788-791
    • Lee, D.1    Seung, H.S.2
  • 30
    • 84898964201 scopus 로고    scopus 로고
    • Algorithms for non-negative matrix factorization
    • Lee D, Seung HS (2001) Algorithms for non-negative matrix factorization. In: NIPS
    • (2001) NIPS
    • Lee, D.1    Seung, H.S.2
  • 31
    • 54049130028 scopus 로고    scopus 로고
    • Clustering based on matrix approximation: A unifying view
    • Li T (2008) Clustering based on matrix approximation: a unifying view. Knowl Inf Syst (KAIS) 17(1): 1-15
    • (2008) Knowl Inf Syst (KAIS) , vol.17 , Issue.1 , pp. 1-15
    • Li, T.1
  • 32
    • 49849097634 scopus 로고    scopus 로고
    • The relationships among various nonnegative matrix factorization methods for clustering
    • Li T, Ding C (2006) The relationships among various nonnegative matrix factorization methods for clustering. In: ICDM, pp 362-371
    • (2006) ICDM , pp. 362-371
    • Li, T.1    Ding, C.2
  • 33
    • 8644250640 scopus 로고    scopus 로고
    • Document clustering via adaptive subspace iteration
    • Li T, Ma S, Ogihara M (2004) Document clustering via adaptive subspace iteration. In: SIGIR, pp218-225
    • (2004) SIGIR , pp. 218-225
    • Li, T.1    Ma, S.2    Ogihara, M.3
  • 35
    • 0033275630 scopus 로고    scopus 로고
    • The multilinear engine: A table-driven, least squares program for solving multilinear problems, including the n-way parallel factor analysis model
    • Paatero P (1999) The multilinear engine: a table-driven, least squares program for solving multilinear problems, including the n-way parallel factor analysis model. J Comput Graph Stat 8(4):854-888
    • (1999) J Comput Graph Stat , vol.8 , Issue.4 , pp. 854-888
    • Paatero, P.1
  • 36
    • 0028561099 scopus 로고
    • Positive matrix factorization: A non-negative factor model with optimal uti-lization of error estimates of data values
    • Paatero P, Tapper U (1994) Positive matrix factorization: a non-negative factor model with optimal uti-lization of error estimates of data values. Environmetrics 5:111-126
    • (1994) Environmetrics , vol.5 , pp. 111-126
    • Paatero, P.1    Tapper, U.2
  • 37
    • 79951511726 scopus 로고    scopus 로고
    • Temporal relation co-clustering on directional social network and author-topic evolution
    • Peng W, Li T (2011) Temporal relation co-clustering on directional social network and author-topic evolution. Knowl Inf Syst (KAIS) 26(3):467-486
    • (2011) Knowl Inf Syst (KAIS) , vol.26 , Issue.3 , pp. 467-486
    • Peng, W.1    Li, T.2
  • 38
    • 80052968945 scopus 로고    scopus 로고
    • On the equivalence between nonnegative tensor factorization and tensorial proba-bilistic latent semantic analysis
    • Peng W, Li T (2011) On the equivalence between nonnegative tensor factorization and tensorial proba-bilistic latent semantic analysis. Appl Intell 35(2):285-295
    • (2011) Appl Intell , vol.35 , Issue.2 , pp. 285-295
    • Peng, W.1    Li, T.2
  • 39
    • 33646430586 scopus 로고    scopus 로고
    • Three-mode component analysis with crisp or fuzzy partition of units
    • Rocci R, Vichi M (2005) Three-mode component analysis with crisp or fuzzy partition of units. Psycho-metrika 70(4):715-736
    • (2005) Psycho-metrika , vol.70 , Issue.4 , pp. 715-736
    • Rocci, R.1    Vichi, M.2
  • 40
    • 31844432834 scopus 로고    scopus 로고
    • Non-negative tensor factorization with applications to statistics and computer vision
    • Shashua A, Hazan T (2005) Non-negative tensor factorization with applications to statistics and computer vision. ICML'05
    • (2005) ICML'05
    • Shashua, A.1    Hazan, T.2
  • 42
    • 0041965980 scopus 로고    scopus 로고
    • Cluster ensembles-a knowledge reuse framework for combining multiple partitions
    • Strehl A, Ghosh J (2002) Cluster ensembles-a knowledge reuse framework for combining multiple partitions. J Mach Learn Res (JMLR) 3:583-617
    • (2002) J Mach Learn Res (JMLR) , vol.3 , pp. 583-617
    • Strehl, A.1    Ghosh, J.2
  • 44
    • 0038959172 scopus 로고    scopus 로고
    • Probabilistic principal component analysis
    • Tipping M, Bishop C (1999) Probabilistic principal component analysis. J R Stat Soc Ser B 21(3): 611-622
    • (1999) J R Stat Soc Ser B , vol.21 , Issue.3 , pp. 611-622
    • Tipping, M.1    Bishop, C.2
  • 46
    • 0013953617 scopus 로고
    • Some mathematical notes on three-mode factor analysis
    • Tucker LR (1966) Some mathematical notes on three-mode factor analysis. Psychometrika 31(3): 279-311
    • (1966) Psychometrika , vol.31 , Issue.3 , pp. 279-311
    • Tucker, L.R.1
  • 49
    • 0035963877 scopus 로고    scopus 로고
    • Factorial k-means analysis for two-way data
    • Vichi M, Kiers HAL (2001) Factorial k-means analysis for two-way data. Comput Stat Data Anal 37: 49-64
    • (2001) Comput Stat Data Anal , vol.37 , pp. 49-64
    • Vichi, M.1    Kiers, H.A.L.2
  • 50
    • 35748957185 scopus 로고    scopus 로고
    • Two-mode multi-partitioning
    • Vichi M, Rocci R (2008) Two-mode multi-partitioning. Comput Stat Data Anal 52:1984-2003
    • (2008) Comput Stat Data Anal , vol.52 , pp. 1984-2003
    • Vichi, M.1    Rocci, R.2
  • 51
    • 34250856819 scopus 로고    scopus 로고
    • Simultaneous component and clustering models for three-way data: Within and between approaches
    • Vichi M, Rocci R, Kiers HAL (2007) Simultaneous component and clustering models for three-way data: within and between approaches. J Classif 24(1):71-98
    • (2007) J Classif , vol.24 , Issue.1 , pp. 71-98
    • Vichi, M.1    Rocci, R.2    Kiers, H.A.L.3
  • 52
    • 0034861343 scopus 로고    scopus 로고
    • Positive tensor factorization
    • Welling M, Weber M (2001) Positive tensor factorization. Pattern Recogn Lett 22(12):1255-1261
    • (2001) Pattern Recogn Lett , vol.22 , Issue.12 , pp. 1255-1261
    • Welling, M.1    Weber, M.2
  • 54
    • 0036056838 scopus 로고    scopus 로고
    • Rank-one approximation to high order tensor
    • Zhang T, Golub GH (2001) Rank-one approximation to high order tensor. SIAM J Matrix Anal Appl 23:534-550
    • (2001) SIAM J Matrix Anal Appl , vol.23 , pp. 534-550
    • Zhang, T.1    Golub, G.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.