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Spectral regression: a unified subspace learning framework for content-based image retrieval

Published:29 September 2007Publication History

ABSTRACT

Relevance feedback is a well established and effective framework for narrowing down the gap between low-level visual features and high-level semantic concepts in content-based image retrieval. In most of traditional implementations of relevance feedback, a distance metric or a classifier is usually learned from user's provided negative and positive examples. However, due to the limitation of the user's feedbacks and the high dimensionality of the feature space, one is often confront with the issue of the curse of the dimensionality. Recently, several researchers have considered manifold ways to address this issue, such as Locality Preserving Projections, Augmented Relation Embedding, and Semantic Subspace Projection. In this paper, by using techniques from spectral graph embedding and regression, we propose a unified framework, called spectral regression, for learning an image subspace. This framework facilitates the analysis of the differences and connections between the algorithms mentioned above. And more crucially, it provides much faster computation and therefore makes the retrieval system capable of responding to the user's query more efficiently.

References

  1. M. Antonini, M. Barlaud, P. Mathieu, and I. Daubechies. Image coding using wavelet. IEEE Transactions on Image Processing, 1(2):205--220, 1992.Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. M. Belkin and P. Niyogi. Laplacian eigenmaps and spectral techniques for embedding and clustering. In Advances in Neural Information Processing Systems 14, pages 585--591. MIT Press, Cambridge, MA, 2001.Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. D. Cai, X. He, and J. Han. Spectral regression for dimensionality reduction. Technical report, UIUC, UIUCDCS-R-2007-2856, May 2007.Google ScholarGoogle Scholar
  4. D. Cai, X. He, and J. Han. SRDA: An efficient algorithm for large scale discriminant analysis. Technical report, UIUC, UIUCDCS-R-2007-2857, May 2007.Google ScholarGoogle Scholar
  5. J. Canny. A computational approach to edge detection. IEEE Trans. Pattern Anal. Mach. Intell., 8(6):679--698, 1986. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. F. R. K. Chung. Spectral Graph Theory, volume 92 of Regional Conference Series in Mathematics. AMS, 1997.Google ScholarGoogle Scholar
  7. S. Guattery and G. L. Miller. Graph embeddings and laplacian eigenvalues. SIAM Journal on Matrix Analysis and Applications, 21(3):703--723, 2000. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. T. Hastie, R. Tibshirani, and J. Friedman. The Elements of Statistical Learning: Data Mining, Inference, and Prediction. New York: Springer-Verlag, 2001.Google ScholarGoogle Scholar
  9. J. He, M. Li, H.-J. Zhang, H. Tong, and C. Zhang. Manifold-ranking based image retrieval. In Proceedings of the ACM Conference on Multimedia, New York, October 2004. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. X. He. Incremental semi-supervised subspace learning for image retrieval. In Proceedings of the ACM Conference on Multimedia, New York, October 2004. Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. X. He and P. Niyogi. Locality preserving projections. In Advances in Neural Information Processing Systems 16. MIT Press, Cambridge, MA, 2003.Google ScholarGoogle Scholar
  12. X. He, S. Yan, Y. Hu, P. Niyogi, and H.-J. Zhang. Face recognition using laplacianfaces. IEEE Transactions on Pattern Analysis and Machine Intelligence, 27(3):328--340, 2005. Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. J. Huang, S. R. Kumar, M. Mitra, W.-J. Zhu, and R. Zabih. Image indexing using color correlograms. pages 762--768, 1997. Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. D. P. Huijsmans and N. Sebe. How to complete performance graphs in content-based image retrieval: Add generality and normalize scope. IEEE Transactions on Pattern Analysis and Machine Intelligence, 27(2):245--251, 2005. Google ScholarGoogle ScholarDigital LibraryDigital Library
  15. Y.-Y. Lin, T.-L. Liu, and H.-T. Chen. Semantic manifold learning for image retrieval. In Proceedings of the ACM Conference on Multimedia, Singapore, November 2005. Google ScholarGoogle ScholarDigital LibraryDigital Library
  16. C. L. Novak and S. A. Shafer. Anatomy of a color histogram. In Proc. IEEE Conf. Computer Vision and Pattern Recognition Machine Learning (CVPR'92), pages 599--605, 1992.Google ScholarGoogle ScholarCross RefCross Ref
  17. C. C. Paige and M. A. Saunders. Algorithm 583 LSQR: Sparse linear equations and least squares problems. ACM Transactions on Mathematical Software, 8(2):195--209, June 1982. Google ScholarGoogle ScholarDigital LibraryDigital Library
  18. C. C. Paige and M. A. Saunders. LSQR: An algorithm for sparse linear equations and sparse least squares. ACM Transactions on Mathematical Software, 8(1):43--71, March 1982. Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. R. Penrose. A generalized inverse for matrices. In Proceedings of the Cambridge Philosophical Society, volume 51, pages 406--413, 1955.Google ScholarGoogle ScholarCross RefCross Ref
  20. S. Roweis and L. Saul. Nonlinear dimensionality reduction by locally linear embedding. Science, 290(5500):2323--2326, 2000.Google ScholarGoogle ScholarCross RefCross Ref
  21. Y. Rui, T. S. Huang, M. Ortega, and S. Mehrotra. Relevance feedback: A power tool for interative content-based image retrieval. IEEE Transactions on Circuits and Systems for Video Technology, 8(5), 1998. Google ScholarGoogle ScholarDigital LibraryDigital Library
  22. A. W. Smeulders, M. Worring, S. Santini, A. Gupta, and R. Jain. Content-based image retrieval at the end of the early years. IEEE Transactions on Pattern Analysis and Machine Intelligence, 22(12):1349--1380, 2000. Google ScholarGoogle ScholarDigital LibraryDigital Library
  23. G. W. Stewart. Matrix Algorithms Volume I: Basic Decompositions. SIAM, 1998.Google ScholarGoogle Scholar
  24. G. W. Stewart. Matrix Algorithms Volume II: Eigensystems. SIAM, 2001. Google ScholarGoogle ScholarDigital LibraryDigital Library
  25. M. A. Stricker and M. Orengo. Similarity of color images. In Storage and Retrieval for Image and Video Databases (SPIE), pages 381--392, 1995.Google ScholarGoogle ScholarCross RefCross Ref
  26. J. Tenenbaum, V. de Silva, and J. Langford. A global geometric framework for nonlinear dimensionality reduction. Science, 290(5500):2319--2323, 2000.Google ScholarGoogle ScholarCross RefCross Ref
  27. S. Tong and E. Chang. Support vector machine active learning for image retrieval. In Proceedings of the ninth ACM international conference on Multimedia, pages 107--118, 2001. Google ScholarGoogle ScholarDigital LibraryDigital Library
  28. J. Yu and Q. Tian. Learning image manifolds by semantic subspace projection. In Proceedings of the ACM Conference on Multimedia, Santa Barbara, October 2006. Google ScholarGoogle ScholarDigital LibraryDigital Library

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    • Published in

      cover image ACM Conferences
      MM '07: Proceedings of the 15th ACM international conference on Multimedia
      September 2007
      1115 pages
      ISBN:9781595937025
      DOI:10.1145/1291233

      Copyright © 2007 ACM

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      Publication History

      • Published: 29 September 2007

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