Skip to main content

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 7674))

Included in the following conference series:

  • 3607 Accesses

Abstract

Approximate nearest neighbor search within large scale image datasets strongly demands efficient and effective algorithms. One promising strategy is to compute compact bits string via the hashing scheme as representation of data examples, which can dramatically reduce query time and storage requirements. In this paper, we propose a novel Cauchy graph-based hashing algorithm for the first time, which can capture more local topology semantics than Laplacian embedding. In particular, greater similarities are achieved through Cauchy embedding mapped from the pairs of smaller distance over the original data space. Then regularized kernel least-squares, with its closed form solution, is applied to efficiently learn hash functions. The experimental evaluations over several noted image retrieval benchmarks, MNIST, CIFAR-10 and USPS, demonstrate that performance of the proposed hashing algorithm is quite comparable with the state-of-the-art hashing techniques in searching semantic similar neighbors, especially in quite short length hash codes, such as those of only 4, 6, and 8 bits.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Datta, R., Joshi, D., Li, J., Wang, J.Z.: Image retrieval: Ideas, influences, and trends of the new age. ACM Computing Surveys (April 2008)

    Google Scholar 

  2. Gionis, A., Indyk, P., Motwani, R.: Similarity search in high dimensions via hashing. In: VLDB, pp. 518–529 (1999)

    Google Scholar 

  3. Torralba, A., Fergus, R., Weiss, Y.: Small codes and large image databases for recognition. In: CVPR (2008)

    Google Scholar 

  4. Kulis, B., Grauman, K.: Kernelized locality-sensitive hashing for scalable image search. In: ICCV, pp. 2130–2137 (2009)

    Google Scholar 

  5. Kulis, B., Jain, P., Grauman, K.: Fast similarity search for learned metrics. IEEE Trans. Pattern Anal. Mach. Intell. 31(12), 2143–2157 (2009)

    Article  Google Scholar 

  6. Wang, J., Kumar, S., Chang, S.F.: Semi-supervised hashing for large scale search. IEEE Transactions on Pattern Analysis and Machine Intelligence (2012)

    Google Scholar 

  7. Weiss, Y., Torralba, A., Fergus, R.: Spectral hashing. In: NIPS, pp. 1753–1760 (2008)

    Google Scholar 

  8. Liu, W., Wang, J., Kumar, S., Chang, S.F.: Hashing with graphs. In: Getoor, L., Scheffer, T. (eds.) Proceedings of the 28th International Conference on Machine Learning, ICML 2011. ACM, New York (2011)

    Google Scholar 

  9. Salakhutdinov, R., Hinton, G.E.: Semantic hashing. Int. J. Approx. Reasoning 50(7), 969–978 (2009)

    Article  Google Scholar 

  10. Heo, J.P., Lee, Y., He, J., Chang, S.F., Yoon-eui, S.: Spherical hashing. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, CVPR (2012)

    Google Scholar 

  11. Liu, W., Wang, J., Ji, R., Jiang, Y.G., Chang, S.F.: Supervised hashing with kernels. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, CVPR (2012)

    Google Scholar 

  12. Liu, W., He, J., Chang, S.F.: Large graph construction for scalable semi-supervised learning. In: Proceedings of the 27th International Conference on Machine Learning, ICML 2010, pp. 679–686 (2010)

    Google Scholar 

  13. Stein, B.: Principles of hash-based text retrieval. In: SIGIR, pp. 527–534 (2007)

    Google Scholar 

  14. Yan, S., Xu, D., Zhang, B., Zhang, H., Yang, Q., Lin, S.: Graph embedding and extensions: A general framework for dimensionality reduction. IEEE Trans. Pattern Anal. Mach. Intell. 29(1), 40–51 (2007)

    Article  Google Scholar 

  15. Luo, D., Ding, C.H.Q., Nie, F., Huang, H.: Cauchy graph embedding. In: ICML, pp. 553–560 (2011)

    Google Scholar 

  16. Zhang, D., Wang, J., Cai, D., Lu, J.: Self-taught hashing for fast similarity search. In: SIGIR, pp. 18–25 (2010)

    Google Scholar 

  17. Zhang, D., Wang, F., Si, L.: Composite hashing with multiple information sources. In: SIGIR, pp. 225–234 (2011)

    Google Scholar 

  18. Bengio, Y., Delalleau, O., Roux, N.L., Paiement, J.F., Vincent, P., Ouimet, M.: Learning eigenfunctions links spectral embedding and kernel pca. Neural Computation 16(10), 2197–2219 (2004)

    Article  MATH  Google Scholar 

  19. Oliva, A., Torralba, A.: Modeling the shape of the scene: A holistic representation of the spatial envelope. International Journal of Computer Vision 42(3), 145–175 (2001)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tao, L., Ip, H.H.S. (2012). Hashing with Cauchy Graph. In: Lin, W., et al. Advances in Multimedia Information Processing – PCM 2012. PCM 2012. Lecture Notes in Computer Science, vol 7674. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34778-8_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34778-8_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34777-1

  • Online ISBN: 978-3-642-34778-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics