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Erschienen in: Neural Computing and Applications 1/2015

01.01.2015 | Original Article

Local k-proximal plane clustering

verfasst von: Zhi-Min Yang, Yan-Ru Guo, Chun-Na Li, Yuan-Hai Shao

Erschienen in: Neural Computing and Applications | Ausgabe 1/2015

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Abstract

k-Plane clustering (kPC) and k-proximal plane clustering (kPPC) cluster data points to the center plane, instead of clustering data points to cluster center in k-means. However, the cluster center plane constructed by kPC and kPPC is infinitely extending, which will affect the clustering performance. In this paper, we propose a local k-proximal plane clustering (LkPPC) by bringing k-means into kPPC which will force the data points to center around some prototypes and thus localize the representations of the cluster center plane. The contributions of our LkPPC are as follows: (1) LkPPC introduces localized representation of each cluster center plane to avoid the infinitely confusion. (2) Different from kPPC, our LkPPC constructs cluster center plane that makes the data points of the same cluster close to both the same center plane and the prototype, and meanwhile far away from the other clusters to some extent, which leads to solve eigenvalue problems. (3) Instead of randomly selecting the initial data points, a Laplace graph strategy is established to initialize the data points. (4) The experimental results on several artificial datasets and benchmark datasets show the effectiveness of our LkPPC.

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Literatur
1.
Zurück zum Zitat Han J, Kamber M (2006) Data mining concepts and techniques. Morgan Kaufmann, San FranciscoMATH Han J, Kamber M (2006) Data mining concepts and techniques. Morgan Kaufmann, San FranciscoMATH
2.
Zurück zum Zitat Anderberg M (1973) Cluster analysis for applications. Academic Press, New York MATH Anderberg M (1973) Cluster analysis for applications. Academic Press, New York MATH
3.
Zurück zum Zitat Aldenderfer M, Blashfield R (1985) Cluster analysis. Sage, Los Angeles Aldenderfer M, Blashfield R (1985) Cluster analysis. Sage, Los Angeles
4.
Zurück zum Zitat Jain A, Murty M, Flynn P (1999) Data clustering: a review. ACM Comput Surv (CSUR) 31(3):264–323CrossRef Jain A, Murty M, Flynn P (1999) Data clustering: a review. ACM Comput Surv (CSUR) 31(3):264–323CrossRef
5.
Zurück zum Zitat Cai W, Chen S, Zhang D (2007) Fast and robust fuzzy c-means clustering algorithms incorporating local information for image segmentation. Pattern Recognition 40(3):825–838CrossRefMATH Cai W, Chen S, Zhang D (2007) Fast and robust fuzzy c-means clustering algorithms incorporating local information for image segmentation. Pattern Recognition 40(3):825–838CrossRefMATH
6.
Zurück zum Zitat Wu Z, Leahy R (1993) An optimal graph theoretic approach to data clustering: theory and its application to image segmentation. IEEE Trans Pattern Anal Mac Intell 15(11):1101–1113CrossRef Wu Z, Leahy R (1993) An optimal graph theoretic approach to data clustering: theory and its application to image segmentation. IEEE Trans Pattern Anal Mac Intell 15(11):1101–1113CrossRef
7.
Zurück zum Zitat Saha S, Bandyopadhyay S (2011) Automatic MR brain image segmentation using a multiseed based multiobjective clustering approach. Appl Intell 35(3):411–427CrossRef Saha S, Bandyopadhyay S (2011) Automatic MR brain image segmentation using a multiseed based multiobjective clustering approach. Appl Intell 35(3):411–427CrossRef
8.
Zurück zum Zitat Berry M (2004) Survey of text mining I: clustering, classification, and retrieval, vol 1. Springer, BerlinCrossRef Berry M (2004) Survey of text mining I: clustering, classification, and retrieval, vol 1. Springer, BerlinCrossRef
9.
Zurück zum Zitat Hotho A, Nrnberger A, Paab G (2005) A brief survey of text mining. Ldv Forum 20(1):19–62 Hotho A, Nrnberger A, Paab G (2005) A brief survey of text mining. Ldv Forum 20(1):19–62
10.
Zurück zum Zitat Shi K, Li L (2013) High performance genetic algorithm based text clustering using parts of speech and outlier elimination. Appl Intell 38(4):511–519CrossRef Shi K, Li L (2013) High performance genetic algorithm based text clustering using parts of speech and outlier elimination. Appl Intell 38(4):511–519CrossRef
11.
Zurück zum Zitat Yu Z, Wong H, Wang H (2007) Graph-based consensus clustering for class discovery from gene expression data. Bioinformatics 23(21):2888–2896CrossRef Yu Z, Wong H, Wang H (2007) Graph-based consensus clustering for class discovery from gene expression data. Bioinformatics 23(21):2888–2896CrossRef
12.
Zurück zum Zitat Bandyopadhyay S, Mukhopadhyay A, Maulik U (2007) An improved algorithm for clustering gene expression data. Bioinformatics 23(21):2859–2865CrossRef Bandyopadhyay S, Mukhopadhyay A, Maulik U (2007) An improved algorithm for clustering gene expression data. Bioinformatics 23(21):2859–2865CrossRef
13.
Zurück zum Zitat Li C, Xia M, Peng W, Yu X, Mitsuru I (2012) Mandarin emotion recognition combining acoustic and emotional point information. Appl Intell 37(4):602–612CrossRef Li C, Xia M, Peng W, Yu X, Mitsuru I (2012) Mandarin emotion recognition combining acoustic and emotional point information. Appl Intell 37(4):602–612CrossRef
14.
Zurück zum Zitat Joseph K, Samy B (2009) Automatic speech and speaker recognition: large margin and kernel methods. Wiley Online Library, Hoboken Joseph K, Samy B (2009) Automatic speech and speaker recognition: large margin and kernel methods. Wiley Online Library, Hoboken
15.
Zurück zum Zitat Bradley P, Mangasarian O (1997) Clustering via concave minimization. Adv Neural Inf Proces Syst 9:368–374 Bradley P, Mangasarian O (1997) Clustering via concave minimization. Adv Neural Inf Proces Syst 9:368–374
16.
Zurück zum Zitat Dembele D, Kastner P (2003) Fuzzy c-means method for clustering microarray data. Bioinformatics 19(8):973–980CrossRef Dembele D, Kastner P (2003) Fuzzy c-means method for clustering microarray data. Bioinformatics 19(8):973–980CrossRef
19.
Zurück zum Zitat Wang Y, Jiang Y, Wu Y, Zhou Z (2011) Localized k-flats. In: Proceedings of the Twenty-Fifth AAAI Conference on Artificial Intelligence, pp 525–530 Wang Y, Jiang Y, Wu Y, Zhou Z (2011) Localized k-flats. In: Proceedings of the Twenty-Fifth AAAI Conference on Artificial Intelligence, pp 525–530
20.
Zurück zum Zitat Zhang T, Szlam A, Wang Y, Lerman G (2010) Randomized hybrid linear modeling by local best-fit flats. In: In CVPR, pp 1927–1934 Zhang T, Szlam A, Wang Y, Lerman G (2010) Randomized hybrid linear modeling by local best-fit flats. In: In CVPR, pp 1927–1934
21.
Zurück zum Zitat Shao Y, Bai L, Wang Z, Hua X, Deng N (2013) Proximal plane clustering via eigenvalues. Proc Comput Sci 17:41–47CrossRef Shao Y, Bai L, Wang Z, Hua X, Deng N (2013) Proximal plane clustering via eigenvalues. Proc Comput Sci 17:41–47CrossRef
22.
Zurück zum Zitat Shao Y, Guo Y, Wang Z, Deng N (2014) k-proximal plane clustering. Neurocomputing (submitted) Shao Y, Guo Y, Wang Z, Deng N (2014) k-proximal plane clustering. Neurocomputing (submitted)
23.
Zurück zum Zitat Mangasarian O, Wild E (2006) Multisurface proximal support vector classification via generalize eigenvalues. IEEE Trans Pattern Anal Mach Intell 28(1):69–74CrossRef Mangasarian O, Wild E (2006) Multisurface proximal support vector classification via generalize eigenvalues. IEEE Trans Pattern Anal Mach Intell 28(1):69–74CrossRef
24.
Zurück zum Zitat Shao Y, Deng N, Chen W, Wang Z (2013) Improved generalized eigenvalue proximal support vector machine. IEEE Signal Process Lett 20(3):213–216CrossRef Shao Y, Deng N, Chen W, Wang Z (2013) Improved generalized eigenvalue proximal support vector machine. IEEE Signal Process Lett 20(3):213–216CrossRef
25.
Zurück zum Zitat Shao Y, Zhang C, Wang X, Deng N (2011) Improvements on twin support vector machines. IEEE Trans Neural Netw 22(6):962–968CrossRef Shao Y, Zhang C, Wang X, Deng N (2011) Improvements on twin support vector machines. IEEE Trans Neural Netw 22(6):962–968CrossRef
26.
Zurück zum Zitat Shao Y, Deng N, Yang Z, Chen W, Wang Z (2012) Probabilistic outputs for twin support vector machines. Knowl-Based Syst 33:145–151CrossRef Shao Y, Deng N, Yang Z, Chen W, Wang Z (2012) Probabilistic outputs for twin support vector machines. Knowl-Based Syst 33:145–151CrossRef
27.
Zurück zum Zitat Qi Z, Tian Y, Shi Y (2012) Twin support vector machine with universum data. Neural Netw 36:112–119CrossRefMATH Qi Z, Tian Y, Shi Y (2012) Twin support vector machine with universum data. Neural Netw 36:112–119CrossRefMATH
28.
Zurück zum Zitat Shao Y, Deng N (2012) A coordinate descent margin based-twin support vector machine for classification. Neural Netw 25:114–121CrossRefMATH Shao Y, Deng N (2012) A coordinate descent margin based-twin support vector machine for classification. Neural Netw 25:114–121CrossRefMATH
29.
Zurück zum Zitat Qi Z, Tian Y, Shi Y (2012) Laplacian twin support vector machine for semi-supervised classification. Neural Netw 35:46–53CrossRefMATH Qi Z, Tian Y, Shi Y (2012) Laplacian twin support vector machine for semi-supervised classification. Neural Netw 35:46–53CrossRefMATH
30.
Zurück zum Zitat Balasundaram S, Tanveer M (2013) On lagrangian twin support vector regression. Neural Comput Appl 22(1):257–267CrossRef Balasundaram S, Tanveer M (2013) On lagrangian twin support vector regression. Neural Comput Appl 22(1):257–267CrossRef
31.
Zurück zum Zitat Tanveer M (2014) Robust and sparse linear programming twin support vector machines. Cogn Comput 6:1866–9956 Tanveer M (2014) Robust and sparse linear programming twin support vector machines. Cogn Comput 6:1866–9956
32.
Zurück zum Zitat Qi Z, Tian Y, Shi Y (2013) Robust twin support vector machine for pattern classification. Pattern Recognit 46(1):305–316CrossRefMATH Qi Z, Tian Y, Shi Y (2013) Robust twin support vector machine for pattern classification. Pattern Recognit 46(1):305–316CrossRefMATH
33.
Zurück zum Zitat Qi Z, Tian Y, Shi Y (2013) Structural twin support vector machine for classification. Knowl-Based Syst 43:74–81CrossRef Qi Z, Tian Y, Shi Y (2013) Structural twin support vector machine for classification. Knowl-Based Syst 43:74–81CrossRef
34.
Zurück zum Zitat Scarborough J (1958) Numerical mathematical analysis, 4th edn. Johns Hopkins Press, New York Scarborough J (1958) Numerical mathematical analysis, 4th edn. Johns Hopkins Press, New York
35.
Zurück zum Zitat Deng N, Tian Y, Zhang C (2013) Support vector machines: optimization based theory, algorithms, and extensions. CRC Press, Boca Raton Deng N, Tian Y, Zhang C (2013) Support vector machines: optimization based theory, algorithms, and extensions. CRC Press, Boca Raton
36.
Zurück zum Zitat Naldi M, Campello R (2014) Evolutionary k-means for distributed datasets. Neurocomputing 127:30–42 Naldi M, Campello R (2014) Evolutionary k-means for distributed datasets. Neurocomputing 127:30–42
37.
Zurück zum Zitat Bradley P, Fayyad U (1998) Refining initial points for k-means clustering. In: Proceedings of the 15 International Conference on Machine Learning (ICML98), pp 91–99 Bradley P, Fayyad U (1998) Refining initial points for k-means clustering. In: Proceedings of the 15 International Conference on Machine Learning (ICML98), pp 91–99
38.
Zurück zum Zitat Fayyad U, Reina C, Bradley P (1998) Initialization of iterative refinement clustering algorithms. In: Proceedings of 14th International Conference on Machine Learning (ICML), pp 194–198 Fayyad U, Reina C, Bradley P (1998) Initialization of iterative refinement clustering algorithms. In: Proceedings of 14th International Conference on Machine Learning (ICML), pp 194–198
42.
Zurück zum Zitat Halkidi M, Batistakis Y, Vazirgiannis M (2001) On clustering validation techniques. Intell Inf Syst J 17:107–145CrossRefMATH Halkidi M, Batistakis Y, Vazirgiannis M (2001) On clustering validation techniques. Intell Inf Syst J 17:107–145CrossRefMATH
43.
Zurück zum Zitat Demsar J (2006) Statistical comparisons of classifiers over multiple data sets. J Mac Learn Res 7:1–30MathSciNetMATH Demsar J (2006) Statistical comparisons of classifiers over multiple data sets. J Mac Learn Res 7:1–30MathSciNetMATH
44.
Zurück zum Zitat Garcia S, Herrera F (2008) An extension on “statistical comparisons of classifiers over multiple data sets” for all pairwise comparisons. J Mac Learn Res 9:2677–2694MATH Garcia S, Herrera F (2008) An extension on “statistical comparisons of classifiers over multiple data sets” for all pairwise comparisons. J Mac Learn Res 9:2677–2694MATH
45.
Zurück zum Zitat Garcia S, Fernandez A, Luengo J, Herrera F (2010) Advanced nonparametric tests for multiple comparisons in the design of experiments in computational intelligence and data mining: experimental analysis of power. Inf Sci 9:2044–2064CrossRef Garcia S, Fernandez A, Luengo J, Herrera F (2010) Advanced nonparametric tests for multiple comparisons in the design of experiments in computational intelligence and data mining: experimental analysis of power. Inf Sci 9:2044–2064CrossRef
46.
Zurück zum Zitat Yang B, Chen S (2010) Sample-dependent graph construction with application to dimensionality reduction. Neurocomputing 74:301–314CrossRef Yang B, Chen S (2010) Sample-dependent graph construction with application to dimensionality reduction. Neurocomputing 74:301–314CrossRef
47.
Zurück zum Zitat Tian Y, Shi Y, Liu X (2012) Recent advances on support vector machines research. Technol Econ Dev Econ 18(1):5–33CrossRef Tian Y, Shi Y, Liu X (2012) Recent advances on support vector machines research. Technol Econ Dev Econ 18(1):5–33CrossRef
48.
Zurück zum Zitat Shao Y, Deng N, Yang Z (2012) Least squares recursive projection twin support vector machine for classification. Pattern Recognit 45(6):2299–2307CrossRefMATH Shao Y, Deng N, Yang Z (2012) Least squares recursive projection twin support vector machine for classification. Pattern Recognit 45(6):2299–2307CrossRefMATH
49.
Zurück zum Zitat Shao YH, Wang Z, Chen WJ, Deng NY (2013) Least squares twin parametric-margin support vector machine for classification. Appl Intell 39(3):1–14 Shao YH, Wang Z, Chen WJ, Deng NY (2013) Least squares twin parametric-margin support vector machine for classification. Appl Intell 39(3):1–14
50.
Zurück zum Zitat Ferraro MB, Guarracino MR (2014) From separating to proximal plane classifiers: a review, clusters, orders, and trees: methods and applications. Springer Optim Appl 92:167–180CrossRef Ferraro MB, Guarracino MR (2014) From separating to proximal plane classifiers: a review, clusters, orders, and trees: methods and applications. Springer Optim Appl 92:167–180CrossRef
51.
Zurück zum Zitat Tian Y, Qi Z, Ju X, Shi Y, Liu X (2014) Nonparallel support vector machines for pattern classification. Cybern IEEE Trans 44(7):1067–1079CrossRef Tian Y, Qi Z, Ju X, Shi Y, Liu X (2014) Nonparallel support vector machines for pattern classification. Cybern IEEE Trans 44(7):1067–1079CrossRef
Metadaten
Titel
Local k-proximal plane clustering
verfasst von
Zhi-Min Yang
Yan-Ru Guo
Chun-Na Li
Yuan-Hai Shao
Publikationsdatum
01.01.2015
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 1/2015
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-014-1707-9

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