Spectral embedding of feature hypergraphs

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5342 LNCS, Issue , 2008, Pages 308-317

  Ren, Peng ^a   Wilson, Richard C ^a   Hancock, Edwin R ^a  

^a UNIVERSITY OF YORK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

GRAPH THEORY; LAPLACE TRANSFORMS; MODEL STRUCTURES; PATTERN RECOGNITION; SURFACE PLASMON RESONANCE; SYNTACTICS; TECHNICAL PRESENTATIONS; VECTORS;

DIMENSIONAL SPACES; FEATURE POINTS; HYPER GRAPHS; HYPEREDGE; HYPERGRAPH MODELS; LAPLACIAN; LAPLACIAN MATRIXES; OBJECT STRUCTURES; PATTERN SPACES; PATTERN VECTORS; PRINCIPAL COMPONENTS; SPECTRAL METHODS;

PRINCIPAL COMPONENT ANALYSIS;

EID: 58349087897     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-89689-0_35     Document Type: Conference Paper

References (15)

1. IEEE TPAMI: Special Section on Graph Algorithms and Computer Vision, 23 10401151.1 (2001)
2. Agarwal, S., Branson, K., Belongie, S.: Higher-Order Learning with Graphs. In: ICML, pp. 17-23 (2006)
3. Agarwal, S., Lim, J., Zelnik-Manor, L., Perona, P., Kriegman, D., Belongie, S.: Beyond pairwise clustering. CVPR, 2, 838-845 (2005)
4. Bretto, A., Cherifi, H., Aboutajdine, D.: Hypergraph imaging: an overview. Pattern Recognition 35(3), 651-658 (2002)
5. Chung, F.K.: The Laplacian of a Hypergraph. AMS DIMACS Series in Discrete Mathematics and Theoretical Computer Science 10, 21-36 (1993)
6. Gibson, D., Kleinberg, J., Raghavan, P.: Clustering categorical data: An approach based on dynamical systems. The VLDB Journal 8(3-4), 222-236 (2000)
7. Hagen, L., Kahng, A.B.: New spectral methods for ratio cut partitioning and clustering. IEEE TCAD 11(9), 1074-1085 (1992)
8. Harris, C.G., Stephens, M.J.: A combined corner and edge detector. In: Proceedings of Fourth Alvey Vision Conference, pp. 147-151 (1994)
9. Li, W., Sole, P.: Spectra of Regular Graphs and Hypergraphs and Orthogonal Polynomials. European Journal of Combinatorics 17, 461-477 (1996)
10. Luo, B., Wilson, R.C., Hancock, E.R.: Higher-Order Learning with Graphs. Pattern Recognition 36(10), 2213-2223 (2003)
11. Rodriguez, J.A.: On The Laplacian Eigenvalues and Metric Parameters of Hypergraphs. Linear and Multilinear Algebra 51, 285-297 (2003)
12. Storm, C.K.: The Zeta Function of a Hypergraph. EJC 13 (2006)
13. Wilson, R.C., Hancock, E.R., Luo, B.: Pattern Vectors from Algebraic Graph Theory. IEEE TPAMI 27(7), 1112-1124 (2005)
14. Zhou, D., Huang, J., Scholkopf, B.: Learning with Hypergraphs: Clustering, Classification, and Embedding. NIPS 19, 17-24 (2007)
15. Zhu, P., Wilson, R.C.: A Study of Graph Spectra for Comparing Graphs and Trees. Pattern Recognition (to appear, 2008)