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Candidate List Obtained from Metric Inverted Index for Similarity Searching

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Abstract

Similarity searching consists of retrieving the most similar elements in a database. This is a central problem in many real applications, and it becomes intractable when a big database is used. A way to overcome this problem is by getting a few objects as a promissory candidate list of being part of the answer. In this paper, the most relevant and efficient algorithms for high dimensional spaces based on the permutations-technique are compared. Permutation-based algorithm is related to make a permutation of some special objects that allows us to organize the space of the elements in a database. One of the indexes related uses a complete permutation, and the second one utilizes a small part of the permutation and an inverted index.

Our research is focussed on two proposed ideas: the first consists in using a similar inverted index only with less information per object and computing the candidate list in a different way; and the second consists in changing a parameter during querying time in order to achieve a better prediction of the nearest neighbors. Our experiments show that our proposals do serve for implementing a better predictor and that the nearest neighbor can be found computing up to 45% fewer distances per query.

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References

  1. Amato, G., Esuli, A., Falchi, F.: A comparison of pivot selection techniques for permutation-based indexing. Inf. Syst. 52, 176–188 (2015). https://doi.org/10.1016/j.is.2015.01.010

    Article  Google Scholar 

  2. Amato, G., Savino, P.: Approximate similarity search in metric spaces using inverted files. In: Lempel, R., Perego, R., Silvestri, F. (eds.) 3rd International ICST Conference on Scalable Information Systems, INFOSCALE 2008, Vico Equense, Italy, June 4–6 2008, p. 28. ICST/ACM (2008). https://doi.org/10.4108/ICST.INFOSCALE2008.3486

  3. Beyer, K., Goldstein, J., Ramakrishnan, R., Shaft, U.: When is “nearest neighbor” meaningful? In: Beeri, C., Buneman, P. (eds.) ICDT 1999. LNCS, vol. 1540, pp. 217–235. Springer, Heidelberg (1999). https://doi.org/10.1007/3-540-49257-7_15

    Chapter  Google Scholar 

  4. Chávez, E., Figueroa, K., Navarro, G.: Proximity searching in high dimensional spaces with a proximity preserving order. In: Gelbukh, A., de Albornoz, Á., Terashima-Marín, H. (eds.) MICAI 2005. LNCS (LNAI), vol. 3789, pp. 405–414. Springer, Heidelberg (2005). https://doi.org/10.1007/11579427_41

    Chapter  Google Scholar 

  5. Chávez, E., Navarro, G.: A probabilistic spell for the curse of dimensionality. In: Buchsbaum, A.L., Snoeyink, J. (eds.) ALENEX 2001. LNCS, vol. 2153, pp. 147–160. Springer, Heidelberg (2001). https://doi.org/10.1007/3-540-44808-X_12

    Chapter  Google Scholar 

  6. Chávez, E., Navarro, G., Baeza-Yates, R., Marroquín, J.: Proximity searching in metric spaces. ACM Comput. Surv. 33(3), 273–321 (2001)

    Article  Google Scholar 

  7. Esuli, A.: MiPai: using the PP-index to build an efficient and scalable similarity search system. In: Proceedings of the 2nd International Workshop on Similarity Searching and Applications (SISAP 2009), pp. 146–148. IEEE Computer Society (2009)

    Google Scholar 

  8. Esuli, A.: Use of permutation prefixes for efficient and scalable approximate similarity search. Inf. Process. Manage. 48(5), 889–902 (2012). https://doi.org/10.1016/j.ipm.2010.11.011

    Article  Google Scholar 

  9. Figueroa, K., Paredes, R., Reyes, N.: New permutation dissimilarity measures for proximity searching. In: Marchand-Maillet, S., Silva, Y.N., Chávez, E. (eds.) SISAP 2018. LNCS, vol. 11223, pp. 122–133. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-02224-2_10

    Chapter  Google Scholar 

  10. Mohamed, H., Marchand-Maillet, S.: Quantized ranking for permutation-based indexing. Inf. Syst. 52, 163–175 (2015). https://doi.org/10.1016/j.is.2015.01.009

    Article  Google Scholar 

  11. Patella, M., Ciaccia, P.: Approximate similarity search: a multi-faceted problem. J. Discret. Algorithms 7(1), 36–48 (2009)

    Article  MathSciNet  Google Scholar 

  12. Samet, H.: Foundations of Multidimensional and Metric Data Structures. Computer Graphics and Geometic Modeling, 1st edn. Morgan Kaufmann Publishers, Burlington (2006). University of Maryland at College Park

    MATH  Google Scholar 

  13. Skala, M.: Counting distance permutations. J. Discret. Algorithms 7(1), 49–61 (2009). https://doi.org/10.1016/j.jda.2008.09.011

    Article  MathSciNet  MATH  Google Scholar 

  14. Zezula, P., Amato, G., Dohnal, V., Batko, M.: Similarity Search: The Metric Space Approach. Advances in Database Systems. Springer, Heidelberg (2006). https://doi.org/10.1007/0-387-29151-2

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Correspondence to Karina Figueroa .

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Figueroa, K., Reyes, N., Camarena-Ibarrola, A. (2020). Candidate List Obtained from Metric Inverted Index for Similarity Searching. In: Martínez-Villaseñor, L., Herrera-Alcántara, O., Ponce, H., Castro-Espinoza, F.A. (eds) Advances in Computational Intelligence. MICAI 2020. Lecture Notes in Computer Science(), vol 12469. Springer, Cham. https://doi.org/10.1007/978-3-030-60887-3_3

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  • DOI: https://doi.org/10.1007/978-3-030-60887-3_3

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