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Advancing Iterative Quantization Hashing Using Isotropic Prior

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MultiMedia Modeling (MMM 2016)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 9517))

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Abstract

It is prevalent to perform hashing on the basis of the well-known Principal Component Analysis (PCA), e.g., [14]. Of all those PCA-based methods, Iterative Quantization (ITQ) [1] is probably the most popular one due to its superior performance in terms of retrieval accuracy. However, the optimization problem in ITQ is severely under-deterministic, thereby the quality of the produced hash codes may be depressed. In this paper, we propose a new hashing method, termed Isotropic Iterative Quantization (IITQ), that extends the formulation of ITQ by incorporating properly the isotropic prior proposed by [3]. The optimization problem in IITQ is complicate, non-convex in nature and therefore not easy to solve. We devise a proximal method that can solve problem in a practical fashion. Extensive experiments on two benchmark datasets, CIFAR-10 [5] and 22K-LabelMe [6], show the superiorities of our IITQ over several existing methods.

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References

  1. Gong, Y., Lazebnik, S., Gordo, A., Perronnin, F.: Iterative quantization: a procrustean approach to learning binary codes for large-scale image retrieval. IEEE Trans. Pattern Anal. Mach. Intell. 35(12), 2916–2929 (2013)

    Article  Google Scholar 

  2. Gong, Y., Lazebnik, S.: Iterative quantization: a procrustean approach to learning binary codes. In: CVPR, pp. 817–824 (2011)

    Google Scholar 

  3. Kong, W., Li, W.: Isotropic hashing. In: NIPS, pp. 1655–1663 (2012)

    Google Scholar 

  4. Xia, Y., He, K., Kohli, P., Sun, J.: Sparse projections for high-dimensional binary codes. In: CVPR, pp. 3332–3339 (2015)

    Google Scholar 

  5. Krizhevsky, A., Hinton, G.: Learning multiple layers of features from tiny images (2009)

    Google Scholar 

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

    Google Scholar 

  7. Weiss, Y., Fergus, R., Torralba, A.: Multidimensional spectral hashing. In: Fitzgibbon, A., Lazebnik, S., Perona, P., Sato, Y., Schmid, C. (eds.) ECCV 2012, Part V. LNCS, vol. 7576, pp. 340–353. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  8. Kulis, B., Darrell, T.: Learning to hash with binary reconstructive embeddings. In: NIPS, pp. 1042–1050 (2009)

    Google Scholar 

  9. 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 

  10. Mu, Y., Yan, S.: Non-metric locality-sensitive hashing. In: AAAI (2010)

    Google Scholar 

  11. Sánchez, J., Perronnin, F.: High-dimensional signature compression for large-scale image classification. In: CVPR, pp. 1665–1672 (2011)

    Google Scholar 

  12. Yu, F.X., Kumar, S., Gong, Y., Chang, S.F.: Circulant binary embedding(2014)

    Google Scholar 

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

    Google Scholar 

  14. Xu, H., Wang, J., Li, Z., Zeng, G., Li, S., Yu, N.: Complementary hashing for approximate nearest neighbor search. In: ICCV, pp. 1631–1638 (2011)

    Google Scholar 

  15. Wang, J., Kumar, S., Chang, S.-F.: Semi-supervised hashing for large-scale search. IEEE Trans. Pattern Anal. Mach. Intell. 34(12), 2393–2406 (2012)

    Article  Google Scholar 

  16. Mu, Y., Shen, J., Yan, S.: Weakly-supervised hashing in kernel space. In: CVPR, pp. 3344–3351 (2010)

    Google Scholar 

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

    Google Scholar 

  18. Andoni, A., Indyk, P.: Near-optimal hashing algorithms for approximate nearest neighbor in high dimensions. Commun. ACM 51(1), 117–122 (2008)

    Article  Google Scholar 

  19. Raginsky, M., Lazebnik, S.: Locality-sensitive binary codes from shift-invariant kernels. In: NIPS, pp. 1509–1517 (2009)

    Google Scholar 

  20. Datar, M., Immorlica, N., Indyk, P., Mirrokni, V.S.: Locality-sensitive hashing scheme based on p-stable distributions. In: ACM Symposium on Computational Geometry, pp. 253–262 (2004)

    Google Scholar 

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

    Google Scholar 

  22. Attouch, H., Bolte, J.: On the convergence of the proximal algorithm for nonsmooth functions involving analytic features. Math. Program. 116(1–2), 5–16 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  23. Broder, A.Z., Charikar, M., Frieze, A.M., Mitzenmacher, M.: Min-wise independent permutations. J. Comput. Syst. Sci. 60, 327–336 (1998)

    MathSciNet  Google Scholar 

  24. Ping Li and Arnd Christian König: Theory and applications of b-bit minwise hashing. Commun. ACM 54(8), 101–109 (2011)

    Article  Google Scholar 

  25. Chu, M.T.: Constructing a hermitian matrix from its diagonal entries and eigenvalues. SIAM J. Matrix Anal. Appl 16, 207–217 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  26. Gower, J.C., Dijksterhuis, G.B.: Procrustes Problems. Oxford, Oxford University Press (2004)

    Google Scholar 

  27. Oliva, A., Torralba, A.: Modeling the shape of the scene: a holistic representation of the spatial envelope. Int. J. Comput. Vis. 42(3), 145–175 (2001)

    Article  MATH  Google Scholar 

  28. Qiao, L., Chen, S., Tan, X.: Sparsity preserving projections with applications to face recognition. Pattern Recogn. 43(1), 331–341 (2010)

    Article  MATH  Google Scholar 

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Acknowledgement

This work is supported by NSFC 61502238, NSFC 61532009, BK2012045 and 15KJA520001.

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Correspondence to Lai Li .

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Li, L., Liu, G., Liu, Q. (2016). Advancing Iterative Quantization Hashing Using Isotropic Prior. In: Tian, Q., Sebe, N., Qi, GJ., Huet, B., Hong, R., Liu, X. (eds) MultiMedia Modeling. MMM 2016. Lecture Notes in Computer Science(), vol 9517. Springer, Cham. https://doi.org/10.1007/978-3-319-27674-8_16

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  • DOI: https://doi.org/10.1007/978-3-319-27674-8_16

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