Kernel relative transformation with applications to enhancing locally linear embedding

Proceedings of the International Joint Conference on Neural Networks

Volumn , Issue , 2008, Pages 3401-3406

  Guihua, Wen ^a   Lijun, Jiang ^a   Jun, Wen ^b  

^a SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

^b HUBEI UNIVERSITY FOR NATIONALITIES   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BENCHMARK DATUMS; DATA MANIFOLDS; DATA POINTS; GEOMETRY STRUCTURES; HESSIAN LOCALLY LINEAR EMBEDDING; IMPACT OF NOISES; LOCALLY LINEAR EMBEDDING; NEIGHBORHOOD GRAPHS; SHORT CIRCUITS;

BENCHMARKING; ELECTRIC FAULT LOCATION; EMBEDDED SYSTEMS; GRAPH THEORY;

NEURAL NETWORKS;

EID: 56349110487     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IJCNN.2008.4634281     Document Type: Conference Paper

References (20)

1. S.T. Roweis and L.K. Saul, Nonlinear Dimensionality Reduction by Locally Linear Embedding, Science, vol.290. 2000, pp 2323-2326.
2. J.B. Tenenbaum and V. de Silva and J.C. Langford. A Global Geometric Framework for Nonlinear Dimensionality Reduction, Science.vol.290.2000, pp 2319-2323.
3. M. Balasubramanian and E.L. Schwartz, The ISOMAP Algorithm and Topological Stability. Science,vol.295,2002, pp 7-7.
4. D.L. Donoho and C. Grimes. Hessian eigenmaps: Locally linear embedding, techniques for high-dimenslonul datu, Proc.Natl.Acad. Sci. U. S. A, vol.100, 2003, pp 5591-5596.
5. Kouropteva, Olga, Okun. Oleg; Pletikainen. Matti. Incremental locally linear embedding, Pattern Recognition, vol.38, 2005, pp 1764-1767.
6. Law MHC and Jain AK, Incremental nonlinear dimensionality reduction by manifold learning, IEEE Transactions on Pattern Analysis and Machine Intelligence,vol. 28, 2006. pp 377-391.
7. Shao C und Huung HK. Selection of the optimal parameter value for the ISOMAP algorithm, Lecture Notes in Artificial Intelligence.vol.3789, 2005. pp 396-404.
8. de Ridder D, Kouroptevu O. Okun O, et al.. Supen-ised locally linear embedding, Lecture Notes in Artificial Intelligence,vol.2714, 2003, pp 333-341.
9. Hong Chung, Dit-YanYeung, Robust locally linear embedding, Pattern Recognition, vol.39. 2006, pp1053-1065.
10. Yang L. Building k-Connected Neighborhood Graphs for Isometric Data Embedding, IEEE Transactions on Pattern Analysis and Machine Intelligence, 28(5), 2006, pp 827-831.
11. Yung L, Building Connected Neighborhood Graphs for Locully Linear Embedding, The 18th International Conference on Pattern Recognition, 2006, pp 1680-1683.
12. Saxena A. Gupta A, Mukerjee A. Non-linear dimensionality reduction by locally linear ISOMAPs, Lecture Notes in Computer Science, vol.3316, 2004. pp 1038-1043.
13. Sung. H. Sebustian: Lee. Daniel D.. The Manifold Ways of Perception, Science, Vol. 290,2000. p2268
14. Jie Chen, Ruiping Wang. Shiguang Shan, Xilin Chen, and Wen Gao. ISOMAP Based on the Image Euclideun Distance. the 18th International Conference on Pattern Recognition,2006
15. Nugeswura S.V. Ruo.Duvid B. Reister,Jucob Barhen, "Information Fusion Methods Based on Physical Laws", IEEE Transactions on Pattern Analysis and Machine Intelligence.vol. 27, 2005, pp 66-77.
16. Nikoluos Nasios. Adrian G. Bors. Kernel-based classification using quantum mechanics. Pattern Recognition, vol.40, 2007, pp875-889.
17. Guihua Wen, Lijun Jiang, Jun Wen and Nigel R Shadbolt, "Performing Locally Linear Embedding with Adaptive Neighborhood Size on Manifold". Lecture Notes in Artificial Intelligence (LNAI), vol.4099,2006.pp985-989.
18. Guihua Wen. Lijun Jiang. Jun Wen and Nigel R Shadbolt. "Clusteringbased Nonlinear Dimensionality Reduction on Manifold". Lecture Notes in Artificial Intelligence (LNAI), vol.4099, 2006.pp444-453.
19. Guihua Wen, Lijun Jiang, "Globulizing Local Neighborhood for Locally Linear Embedding", Proceedings of 2006 IEEE international conference on system, man and cybernetics. 2006,pp3491-3496
20. Guihua Wen. Lijun Jiang, and Nigel R Shadbolt, "Using Graph Algebra to Optimize Neighborhood for Isometric Mapping", 20th International Joint Conference on Artificial Intelligence(IJCAI-07), India.2007,pp2398- 2403