Effective proximity retrieval by ordering permutations

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 30, Issue 9, 2008, Pages 1647-1658

  Chavez Gonzalez, Edgar ^a   Figueroa, Karina ^a   Navarro, Gonzalo ^b  

^a UNIVERSIDAD MICHOACANA DE SAN NICOLÁS DE HIDALGO   (Mexico)

^b UNIVERSITY OF CHILE   (Chile)

Author keywords

Indexing methods; Information search and retrieval; Metric spaces; Pattern recognition; Similarity searching

Indexed keywords

EXPERIMENTS; FEATURE EXTRACTION; LEARNING ALGORITHMS; PATTERN RECOGNITION; SET THEORY; TOPOLOGY;

CPU TIME; HIGH-DIMENSIONAL; LARGE DATABASES; METRIC DATABASES; METRIC SPACES; NEAREST NEIGHBOR (NN); RECOGNITION TASKS; RETRIEVAL (MIR); SEARCH ALGORITHMS;

DATABASE SYSTEMS;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; IMAGE ENHANCEMENT; IMAGE SUBTRACTION; INFORMATION RETRIEVAL; METHODOLOGY; STATISTICAL ANALYSIS; STATISTICAL MODEL;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; MODELS, STATISTICAL; PATTERN RECOGNITION, AUTOMATED; SUBTRACTION TECHNIQUE;

EID: 48049111835     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2007.70815     Document Type: Article

References (44)

1. C. Aggarwal, "Re-Designing Distance Functions and Distance-Based Applications for High Dimensional Data," ACM SIGMOD, vol. 30, no. 1, pp. 13-18, 2001.
2. C. Aggarwal, A. Hinneburg, and D. Keim, "On the Surprising Behavior of Distance, Metrics in High Dimensional Spaces," Proc. Eighth Int'l Conf. Database Theory, pp. 420-434, 2001.
3. A. Arslan and O. Egecioglu, "Efficient Algorithms for Normalized Edit Distance," J. Discrete Algorithms, vol. 1, no. 1, pp. 3-20, 2000.
4. S. Arya, D. Mount, N. Netanyanu, R. Silverman, and A. Wu, "An Optimal Algorithm for Approximate Nearest Neighbor Searching in Fixed Dimension," Proc. Fifth Symp. Discrete Algorithms, pp. 573-583, 1994.
5. R. Baeza-Yates, W. Cunto, U. Manber, and S. Wu, "Proximity Matching Using Fixed-Queries Trees," Proc. Fifth Combinatorial Pattern Matching, pp. 198-212, 1994.
6. R. Baeza-Yates and B. Ribeiro, Modern Information Retrieval. Addison-Wesley, 1999.
7. J. Bentley, "Moltidimensional Binary Search Trees Used for Associative Searching," Comm. ACM, vol. 18, no. 9, pp. 509-517, 1975.
8. S. Brin, "Near Neighbor Search in Large Metric Spaces," Proc. 21st Very Large Databases, pp. 574-584, 1995.
9. W. Burkhard and R. Keller, "Some Approaches to Best-Match File Searching," Comm. ACM, vol. 16, no. 4, pp. 230-236, 1973.
10. B. Bustos and G. Navarro, "Probabilistic Proximity Search Algorithms Based on Compact Partitions," J. Discrete Algorithms, Vol. 2, no. 1, pp. 115-134, 2003.
11. E. Chávez and K. Figueroa, "Faster Proximity Searching in Metric Data," Proc. Mexican Int'l Conf. Artificial Intelligence, pp. 222-231, 2004.
12. E. Chávez, J. Marroquín, and R. Baeza-Yates, "Spaghettis: An Array Based Algorithm for Similarity Queries in Metric Spaces," Proc. Sixth String Processing and Information Retrieval, 1999.
13. E. Chávez, J.L. Marroquin, and G. Navarro, "Fixed Queries Array: A Fast and Economical Data Structure for Proximity Searching," Multimedia Tools and Applications, vol. 14, no. 2, pp. 113-135, 2001.
14. F. Chávez and G. Navarro, "Probabilistic Proximity Search: Fighting the Curse of Dimensionality in Metric Spaces," Information Processing Letters, vol. 85, no. 1, pp. 39-46, 2003.
15. E. Chávez and G. Navarro, "A Compact Space Decomposition for Effective Metric Indexing," Pattern Recognition Letters, vol. 26, no. 9, pp. 1363-1376, 2005.
16. E. Chávez, G. Navarro, R. Baeza-Yates, and J. Marroquín, "Proximity Searching in Metric Spaces," ACM Computing Surveys, vol. 33, no. 3, pp. 273-321, 2001.
17. P. Ciaccia and M. Patella, "PAC Nearest Neighbor Queries: Approximate and Controlled Search in High-Dimensional and Metric Spaces," Proc. 16th Int'l Conf. Data Eng., pp. 244-255, 2000.
18. P. Ciaccia and M. Patella, "Searching in Metric Spaces with User-Defined and Approximate Distances," ACM Trans. Database Systems vol. 27, no. 4, pp. 398-437, 2002.
19. P. Ciaccia, M. Patella, and P. Zezula, "M-Tree: An Efficient Access Method for Similarity Search in Metric Spaces," Proc. 23rd Conf. Very Large Databases, pp. 426-435, 1997.
20. K. Clarkson, "Nearest Neighbor Queries in Metric Spaces," Discrete Computational Geometry, vol. 22, no. 1, pp. 63-93, 1999.
21. K. Doheryu, R. Adams, and N. Davey, "Non-Euclidean Norms and Data Normalisation," Proc. 12th European Symp. Artificial Neural Networks 2004.
22. R. Duda, P. Hart, and D. Stork, Pattern Classification, second ed. John Wiley & Sons, 1973.
23. O. Egecioglu, "Parametric Approximation Algorithms for High-Dimensional Euclidean Similarity," Proc. Conf. Principles and Practice of Knowledge Discovery in Databases, pp. 79-90, 2001.
24. R. Fagin, R. Kumar, and D. Sivakumar, "Comparing Top k Lists," SIAM J. Discrete Math., vol. 17, no. 1, pp. 134-160, 2003.
25. K. Figueroa, E. Chávez, G. Navarro, and R. Paredes, "On the Least Cost for Proximity Seqrching in Metric Spaces," Proc. Fifth Workshop Efficient and Experimental Algorithms, pp. 279-290, 2006.
26. D. Harman, "Overview of the Third Text REtrieval Conf.," Proc. Third Text REtrieval Conf., NIST Special Publication 500-2, pp. 1-19, 1995.
27. G. Hjaltason and H. Samet, "Index-Driven Similarity Search in Metric Spaces," ACM Trans. Database Systems, vol. 28, no. 4, pp. 517-580, 2003.
28. P. Howarth and S. Rüger, "Fractional Distance Measures for Content-Based Image Retrieval," Proc. 27th European Conf. IR Research, pp. 447-456, 2005.
29. G.T. Toussaint, "Computational Geometric Problems in Pattern Recognition," Pattern Recognition Theory and Applications, O.J. Kittler, ed., NATO ASTI series, 1981.
30. I. Kalantari and G. McDonald, "A Data Structure and an Algorithm for the Nearest Point Problen" IEEE Trans. Software Eng., vol. 9, no. 5, 1983.
31. A. Marzal and E. Vidal, "Computation of Normalized Edit Distance and Applications," IEEE Trans. Pattern Analysis and Machine Intelligence vol. 15, no. 9. pp. 926-932, Sept. 1993.
32. L. Micó, J. Oncina, and E. Vidal, "A New Version of the Nearest-Neighbor Approximating and Eliminating Search (AESA) with Linear Preprocessing-Time and Memory Requirements," Pattern Recognition Letters, vol. 15, pp. 9-17, 1994.
33. G. Navarro, "Searching in Metric Spaces by Spatial Approximation," Very Large Databases J., vol. 11, no. 1, pp. 28-46, 2002.
34. R. Paredes and E. Chávez, "Using the k-Nearest Neighbor Graph for Proximity Searching in Metric Spaces," Proc. 12th String Processing and Information Retrieval, pp. 127-138, 2005.
35. R. Paredes, E. Chávez, K. Figueroa, and G. Navarro, "Practical Construction of k-Nearest Neighbor Graphs in Metric Spaces," Proc. Fifth Workshop Efficient and Experimental Algorithms, pp. 85-97, 2006.
36. R. Paredes and G. Navarro, "Optimal Incremental Sorting," Proc. Eighth Workshop Algorithm Eng. and Experiments, pp. 171-182, 2006.
37. P. Phillips, H. Wechsler, J. Huang, and P. Rauss, "The FERET Database and Evaluation Procedure for Face Recognition Algorithms," Image and Vision Computing J., vol. 16, no. 5, pp. 295-306, 1998.
38. H. Samet, Foundations of Multidimensional and Metric Data Structures Morgan Kaufmann, 2005.
39. T. Skopal, "On Fast Non-Metric Similarity Search by Metric Access Methods," Proc. Int'l Conf. Extending Database Technology, pp. 718-736, 2006.
40. E. Vidal, "An Algorithm for Finding Nearest Neighbors in (Approximately) Constant Average Time," Pattern Recognition Letters vol. 4. pp. 145-157, 1986.
41. D. White and R. Jain, "Algorithms and Strategies for Similarity Retrieval," Technical Report VCL-96-101, Visual Computing Laboratory, Univ. of California San Diego, July 1996.
42. P. Yianilos, "Excluded Middle Vantage Point Forests for Nearest Neighbor Search," DIMACS Implementation Challenge, Proc. Int'l Workshop Algorithm Eng. and Experimentation, 1999.
43. P.N. Yianilos, "Locally Lifting the Curse of Dimensionality for Nearest Neighbor Search," technical report, NEC Research Inst., June 1999.
44. P. Zezula, G. Amato, V. Dohnal, and M. Batko, "Similarity Search: The Metric Space Approach," Advances in Database Systems, vol. 32, 2006.