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Locality Sensitive Hashing Using GMM

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Pattern Recognition (GCPR 2014)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 8753))

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Abstract

We propose a new approach for locality sensitive hashes (LSH) solving the approximate nearest neighbor problem. A well known LSH family uses linear projections to place the samples of a dataset into different buckets. We extend this idea and, instead of using equally spaced buckets, use a Gaussian mixture model to build a data dependent mapping.

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References

  1. Andoni, A., Indyk, P.: Near-optimal hashing algorithms for approximate nearest neighbor in high dimensions. In: 47th Annual IEEE Symposium on Foundations of Computer Science, 2006. FOCS ’06, pp. 459–468 (2006)

    Google Scholar 

  2. Bache, K., Lichman, M.: UCI machine learning repository (2013). http://archive.ics.uci.edu/ml

  3. Datar, M., Immorlica, N., Indyk, P., Mirrokni, V.S.: Locality-sensitive hashing scheme based on p-stable distributions. In: Proceedings of the Twentieth Annual Symposium on Computational Geometry, SCG ’04, pp. 253–262. ACM, New York (2004). http://doi.acm.org/10.1145/997817.997857

  4. Figueiredo, M., Jain, A.: Unsupervised learning of finite mixture models. IEEE Trans. Pattern Anal. Mach. Intell. 24(3), 381–396 (2002)

    Article  Google Scholar 

  5. Friedman, J.H., Bentley, J.L., Finkel, R.A.: An algorithm for finding best matches in logarithmic expected time. ACM Trans. Math. Softw. 3(3), 209–226 (1977). http://doi.acm.org/10.1145/355744.355745

    Article  MATH  Google Scholar 

  6. Indyk, P., Motwani, R.: Approximate nearest neighbors: towards removing the curse of dimensionality. In: Proceedings of the Thirtieth Annual ACM Symposium on Theory of Computing, STOC ’98 pp. 604–613. ACM, New York (1998). http://doi.acm.org/10.1145/276698.276876

  7. Lv, Q., Josephson, W., Wang, Z., Charikar, M., Li, K.: Multi-probe LSH: efficient indexing for high-dimensional similarity search. In: Proceedings of the 33rd International Conference on Very Large Data Bases, VLDB ’07, VLDB Endowment, pp. 950–961 (2007). http://dl.acm.org/citation.cfm?id=1325851.1325958

  8. Muja, M., Lowe, D.G.: Fast approximate nearest neighbors with automatic algorithm configuration. In: VISAPP International Conference on Computer Vision Theory and Applications, pp. 331–340 (2009)

    Google Scholar 

  9. Panigrahy, R.: Entropy based nearest neighbor search in high dimensions. In: Proceedings of the Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithm, SODA ’06, pp. 1186–1195. ACM, New York (2006). http://doi.acm.org/10.1145/1109557.1109688

  10. Paulevé, L., Jégou, H., Amsaleg, L.: Locality sensitive hashing: a comparison of hash function types and querying mechanisms. Pattern Recogn. Lett. 31(11), 1348–1358 (2010). http://hal.inria.fr/inria-00567191, qUAERO

    Article  Google Scholar 

  11. Silpa-Anan, C., Hartley, R.: Optimised KD-trees for fast image descriptor matching. In: IEEE Conference on Computer Vision and Pattern Recognition, 2008, CVPR 2008, June 2008, pp. 1–8 (2008)

    Google Scholar 

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Correspondence to Fabian Schmieder .

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© 2014 Springer International Publishing Switzerland

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Schmieder, F., Yang, B. (2014). Locality Sensitive Hashing Using GMM. In: Jiang, X., Hornegger, J., Koch, R. (eds) Pattern Recognition. GCPR 2014. Lecture Notes in Computer Science(), vol 8753. Springer, Cham. https://doi.org/10.1007/978-3-319-11752-2_47

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  • DOI: https://doi.org/10.1007/978-3-319-11752-2_47

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11751-5

  • Online ISBN: 978-3-319-11752-2

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