메뉴 건너뛰기




Volumn 6321 LNAI, Issue PART 1, 2010, Pages 103-118

Euclidean distances, soft and spectral clustering on weighted graphs

Author keywords

average commute time distance; metastability; migratory flow; multidimensional scaling; quasi symmetry; Schoenberg transformations; shortest path distance; spectral clustering; thermodynamic clustering

Indexed keywords

METASTABILITIES; MIGRATORY FLOW; MULTI-DIMENSIONAL SCALING; QUASISYMMETRY; SCHOENBERG TRANSFORMATIONS; SHORTEST-PATH; SPECTRAL CLUSTERING; TIME DISTANCE;

EID: 78049336212     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-15880-3_13     Document Type: Conference Paper
Times cited : (17)

References (39)
  • 2
    • 0036173897 scopus 로고    scopus 로고
    • The quasi-symmetric side of gravity modelling
    • Bavaud, F.: The quasi-symmetric side of gravity modelling. Environment and Planning A 34, 61-79 (2002)
    • (2002) Environment and Planning a , vol.34 , pp. 61-79
    • Bavaud, F.1
  • 3
    • 76149129124 scopus 로고    scopus 로고
    • Spectral clustering and multidimensional scaling: A unified view
    • Batagelj, V., Bock, H.-H., Ferligoj, A., Ziberna, A. eds., Springer, Heidelberg
    • Bavaud, F.: Spectral clustering and multidimensional scaling: a unified view. In: Batagelj, V., Bock, H.-H., Ferligoj, A., Ziberna, A. (eds.) Data science and classification, pp. 131-139. Springer, Heidelberg (2006)
    • (2006) Data Science and Classification , pp. 131-139
    • Bavaud, F.1
  • 4
    • 55049101734 scopus 로고    scopus 로고
    • The Endogenous analysis of flows, with applications to migrations, social mobility and opinion shifts
    • Bavaud, F.: The Endogenous analysis of flows, with applications to migrations, social mobility and opinion shifts. Journal of Mathematical Sociology 32, 239-266 (2008)
    • (2008) Journal of Mathematical Sociology , vol.32 , pp. 239-266
    • Bavaud, F.1
  • 5
    • 76149120395 scopus 로고    scopus 로고
    • Aggregation invariance in general clustering approaches
    • Bavaud, F.: Aggregation invariance in general clustering approaches. Advances in Data Analysis and Classification 3, 205-225 (2009)
    • (2009) Advances in Data Analysis and Classification , vol.3 , pp. 205-225
    • Bavaud, F.1
  • 7
    • 0042378381 scopus 로고    scopus 로고
    • Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
    • Belkin, M., Niyogi, P.: Laplacian Eigenmaps for Dimensionality Reduction and Data Representation. Neural Computation 15, 1373-1396 (2003)
    • (2003) Neural Computation , vol.15 , pp. 1373-1396
    • Belkin, M.1    Niyogi, P.2
  • 8
    • 85056009427 scopus 로고
    • On the concept of equal exchange
    • Berger, J., Snell, J. L.: On the concept of equal exchange. Behavioral Science 2, 111-118 (1957)
    • (1957) Behavioral Science , vol.2 , pp. 111-118
    • Berger, J.1    Snell, J.L.2
  • 9
    • 0000102289 scopus 로고
    • Espaces de Dirichlet. I. Le cas élémentaire
    • Beurling, A., Deny, J.: Espaces de Dirichlet. I. Le cas élémentaire. Acta Mathematica 99, 203-224 (1958)
    • (1958) Acta Mathematica , vol.99 , pp. 203-224
    • Beurling, A.1    Deny, J.2
  • 10
    • 0003365565 scopus 로고    scopus 로고
    • Spectral graph theory
    • American Mathematical Society, Washington
    • Chung, F. R. K.: Spectral graph theory. In: CBMS Regional Conference Series in Mathematics, vol. 92. American Mathematical Society, Washington (1997)
    • (1997) CBMS Regional Conference Series in Mathematics , vol.92
    • Chung, F.R.K.1
  • 12
    • 0040383532 scopus 로고
    • The partial order by inclusion of the principal classes of dissimilarity on a finite set, and some of their basic properties
    • van Cutsem, B. ed., Springer, Heidelberg
    • Critchley, F., Fichet, B.: The partial order by inclusion of the principal classes of dissimilarity on a finite set, and some of their basic properties. In: van Cutsem, B. (ed.) Classification and dissimilarity analysis. Lecture Notes in Statistics, pp. 5-65. Springer, Heidelberg (1994)
    • (1994) Classification and Dissimilarity Analysis. Lecture Notes in Statistics , pp. 5-65
    • Critchley, F.1    Fichet, B.2
  • 16
    • 33847766633 scopus 로고    scopus 로고
    • Random-walk computation of similarities between nodes of a graph with application to collaborative recommendation
    • Fouss, F., Pirotte, A., Renders, J.-M., Saerens, M.: Random-walk computation of similarities between nodes of a graph with application to collaborative recommendation. IEEE Transactions on Knowledge and Data Engineering 19, 355-369 (2007)
    • (2007) IEEE Transactions on Knowledge and Data Engineering , vol.19 , pp. 355-369
    • Fouss, F.1    Pirotte, A.2    Renders, J.-M.3    Saerens, M.4
  • 19
    • 0032595161 scopus 로고    scopus 로고
    • A fuzzy k-modes algorithm for clustering categorical data
    • Huang, Z., Ng, M. K.: A fuzzy k-modes algorithm for clustering categorical data. IEEE Transactions on Fuzzy Systems 7, 446-452 (1999)
    • (1999) IEEE Transactions on Fuzzy Systems , vol.7 , pp. 446-452
    • Huang, Z.1    Ng, M.K.2
  • 23
    • 33746476985 scopus 로고    scopus 로고
    • Diffusion Maps and Coarse-Graining: A Unified Framework for Dimensionality Reduction, Graph Partitioning, and Data Set Parameterization
    • Lafon, S., Lee, A. B.: Diffusion Maps and Coarse-Graining: A Unified Framework for Dimensionality Reduction, Graph Partitioning, and Data Set Parameterization. IEEE Trans. on Pattern Analysis and Machine Intelligence 28, 1393-1403 (2006)
    • (2006) IEEE Trans. on Pattern Analysis and Machine Intelligence , vol.28 , pp. 1393-1403
    • Lafon, S.1    Lee, A.B.2
  • 24
    • 34548583274 scopus 로고    scopus 로고
    • A tutorial on spectral clustering
    • von Luxburg, U.: A tutorial on spectral clustering. Statistics and Computing 17, 395-416 (2007)
    • (2007) Statistics and Computing , vol.17 , pp. 395-416
    • Von Luxburg, U.1
  • 27
    • 84899013108 scopus 로고    scopus 로고
    • On spectral clustering: Analysis and an algorithm
    • MIT Press, Cambridge
    • Ng, A., Jordan, M., Weiss, Y.: On spectral clustering: analysis and an algorithm. In: Advances in Neural Information Processing Systems, vol. 14, pp. 849-856. MIT Press, Cambridge (2002)
    • (2002) Advances in Neural Information Processing Systems , vol.14 , pp. 849-856
    • Ng, A.1    Jordan, M.2    Weiss, Y.3
  • 28
    • 51849120013 scopus 로고    scopus 로고
    • Soft memberships for spectral clustering, with application to permeable language distinction
    • Nock, R., Vaillant, P., Henry, C., Nielsen, F.: Soft memberships for spectral clustering, with application to permeable language distinction. Pattern Recognition 42, 43-53 (2009)
    • (2009) Pattern Recognition , vol.42 , pp. 43-53
    • Nock, R.1    Vaillant, P.2    Henry, C.3    Nielsen, F.4
  • 29
    • 0000389568 scopus 로고
    • Statistical mechanics and phase transitions in clustering
    • Rose, K., Gurewitz, E., Fox, G. C.: Statistical mechanics and phase transitions in clustering. Phys. Rev. Lett. 65, 945-948 (1990)
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 945-948
    • Rose, K.1    Gurewitz, E.2    Fox, G.C.3
  • 30
    • 0032202775 scopus 로고    scopus 로고
    • Deterministic Annealing for clustering, compression, classification, regression, and related optimization problems
    • Rose, K.: Deterministic Annealing for clustering, compression, classification, regression, and related optimization problems. Proceedings of the IEEE 86, 2210-2239 (1998)
    • (1998) Proceedings of the IEEE , vol.86 , pp. 2210-2239
    • Rose, K.1
  • 31
    • 0001743201 scopus 로고
    • Metric spaces and completely monotone functions
    • Schoenberg, I. J.: Metric Spaces and Completely Monotone Functions. The Annals of Mathematics 39, 811-841 (1938a)
    • (1938) The Annals of Mathematics , vol.39 , pp. 811-841
    • Schoenberg, I.J.1
  • 35
    • 0034704229 scopus 로고    scopus 로고
    • A Global geometric framework for nonlinear dimensionality reduction
    • Tenenbaum, J. B., de Silva, V., Langford, J. C.: A Global Geometric Framework for Nonlinear Dimensionality Reduction. Science 22, 2319-2323 (2000)
    • (2000) Science , vol.22 , pp. 2319-2323
    • Tenenbaum, J.B.1    De Silva, V.2    Langford, J.C.3
  • 37
    • 0036165146 scopus 로고    scopus 로고
    • On a connection between kernel PCA and metric multidimensional scaling
    • Williams, C. K. I.: On a Connection between Kernel PCA and Metric Multidimensional Scaling. Machine Learning 46, 11-19 (2002)
    • (2002) Machine Learning , vol.46 , pp. 11-19
    • Williams, C.K.I.1
  • 38
    • 0002361037 scopus 로고
    • Discussion of a set of points in terms of their mutual distances
    • Young, G., Householder, A. S.: Discussion of a set of points in terms of their mutual distances. Psychometrika 3, 19-22 (1938)
    • (1938) Psychometrika , vol.3 , pp. 19-22
    • Young, G.1    Householder, A.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.