Multiplicative synopses for relative-error metrics

Proceedings of the 12th International Conference on Extending Database Technology: Advances in Database Technology, EDBT'09

Volumn , Issue , 2009, Pages 756-767

  Karras, Panagiotis ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

DATA DIMENSIONALITY; DATA REPRESENTATIONS; ERROR DATA; ERROR METRICS; EXPERIMENTAL STUDIES; HIERARCHICAL SUMMARIZATION; MAXIMUM RELATIVE ERRORS; REPRESENTATION MECHANISM; TIME DYNAMIC;

METRIC SYSTEM; SYSTEMS ENGINEERING;

DATABASE SYSTEMS;

EID: 70349126149     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1516360.1516447     Document Type: Conference Paper

References (50)

1. A. Aboulnaga and S. Chaudhuri. Self-tuning histograms: building histograms without looking at data. In SIGMOD, 1999.
2. D. Agarwal, D. Barman, D. Gunopulos, N. E. Young, F. Korn, and D. Srivastava. Efficient and effective explanation of change in hierarchical summaries. In KDD, 2007.
3. N. Bruno, S. Chaudhuri, and L. Gravano. STHoles: a multidimensional workload-aware histogram. In SIGMOD, 2001.
4. K. Chakrabarti, M. Garofalakis, R. Rastogi, and K. Shim. Approximate query processing using wavelets. VLDB Journal, 10(2-3):199-223, 2001 (also VLDB 2000).
5. K. Chakrabarti, E. Keogh, S. Mehrotra, and M. Pazzani. Locally adaptive dimensionality reduction for indexing large time series databases. TODS, 27(2): 188-228, 2002 (also SIGMOD 2001).
6. S. Chen and A. Nucci. Dynamic nonuniform data approximation in databases with Haar wavelet. Journal of Computers, 2(8):64-76, 2007 (also DCC 2007).
7. G. Cormode, M. Garofalakis, and D. Sacharidis. Fast approximate wavelet tracking on streams. In EDBT, 2006.
8. A. Deligiannakis, M. Garofalakis, and N. Roussopoulos. Extended wavelets for multiple measures. TODS, 32(1), 2007 (also SIGMOD 2003).
9. A. Deshpande, M. Garofalakis, and R. Rastogi. Independence is good: Dependency-based histogram synopses for high-dimensional data. In SIGMOD, 2001.
10. M. Garofalakis and P. B. Gibbons. Probabilistic wavelet synopses. TODS, 29(l):43-90, 2004 (also SIGMOD 2002).
11. M. Garofalakis and A. Kumar. Wavelet synopses for general error metrics. TODS, 30(4):888-928, 2005 (also PODS 2004).
12. P. B. Gibbons, Y. Matias, and V. Poosala. Fast incremental maintenance of approximate histograms. TODS, 27(3):261-298, 2002 (also VLDB 1997).
13. A. C. Gilbert, S. Guha, P. Indyk, Y. Kotidis, S. Muthukrishnan, and M. J. Strauss. Fast, small-space algorithms for approximate histogram maintenance. In STOC, 2002.
14. A. C. Gilbert, Y. Kotidis, S. Muthukrishnan, and M. Strauss. Optimal and approximate computation of summary statistics for range aggregates. In PODS, 2001.
15. S. Guha. On the space-time of optimal, approximate and streaming algorithms for synopsis construction problems. VLDB Journal, accepted for publication, 2009 (also VLDB 2005).
16. S. Guha and B. Harb. Approximation algorithms for wavelet transform coding of data streams. IEEE Transactions on Information Theory, 54(2):811-830, 2008 (also SODA 2006).
17. S. Guha, P. Indyk, S. Muthukrishnan, and M. Strauss. Histogramming data streams with fast per-item processing. In IGALP, 2002.
18. S. Guha, C. Kim, and K. Shim. XWAVE: Approximate extended wavelets for streaming data. In VLDB, 2004.
19. S. Guha, N. Koudas, and K. Shim. Approximation and streaming algorithms for histogram construction problems. TODS, 31(l):396-438, 2006.
20. S. Guha, N. Koudas, and D. Srivastava. Fast algorithms for hierarchical range histogram construction. In PODS, 2002.
21. S. Guha, H. Park, and K. Shim. Wavelet synopsis for hierarchical range queries with workloads. VLDB Journal, 17(5):1079-1099, 2008.
22. S. Guha, K. Shim, and J. Woo. REHIST: Relative error histogram construction algorithms. In VLDB, 2004.
23. D. Gunopulos, G. Kollios, V. J. Tsotras, and C. Domeniconi. Selectivity estimators for multidimensional range queries over real attributes. The VLDB Journal, 14(2):137-154, 2005 (also SIGMOD 2000).
24. Y. E. Ioannidis. Universality of serial histograms. In VLDB, 1993.
25. H. V. Jagadish, H. Jin, B. C. Ooi, and K.-L. Tan. Global optimization of histograms. In SIGMOD, 2001.
26. H. V. Jagadish, N. Koudas, S. Muthukrishnan, V. Poosala, K. C. Sevcik, and T. Suel. Optimal histograms with quality guarantees. In VLDB, 1998.
27. P. Karras and N. Mamoulis. One-pass wavelet synopses for maximum-error metrics. In VLDB, 2005.
28. + tree: a refined synopsis data structure. In IGDE, 2007.
29. P. Karras, D. Sacharidis, and N. Mamoulis. Exploiting duality in summarization with deterministic guarantees. In KDD, 2007.
30. S. Khanna, S. Muthukrishnan, and S. Skiena. Efficient array partitioning. In IGALP, 1997.
31. N. Koudas, S. Muthukrishnan, and D. Srivastava. Optimal histograms for hierarchical range queries. In PODS, 2000.
32. J.-H. Lee, D.-H. Kim, and C.-W. Chung. Multi-dimensional selectivity estimation using compressed histogram information. In SIGMOD, 1999.
33. Y. Matias and D. Urieli. Optimal workload-based weighted wavelet synopses. Theoretical Computer Science, 371(3):227-246, 2007 (also ICDT 2005).
34. Y. Matias, J. S. Vitter, and M. Wang. Wavelet-based histograms for selectivity estimation. In SIGMOD, 1998.
35. M. Muralikrishna and D. J. DeWitt. Equi-depth histograms for estimating selectivity factors for multi-dimensional queries. In SIGMOD, 1988.
36. S. Muthukrishnan. Subquadratic algorithms for workload-aware Haar wavelet synopses. In FSTTCS, 2005.
37. S. Muthukrishnan, V. Poosala, and T. Suel. On rectangular partitionings in two dimensions: Algorithms, complexity, and applications. In ICDT, 1999.
38. S. Muthukrishnan and M. Strauss. Rangesum histograms. In SODA, 2003.
39. S. Muthukrishnan, M. Strauss, and X. Zheng. Workload-optimal histograms on streams. In ESA, 2005.
40. S. Muthukrishnan and T. Suel. Approximation algorithms for array partitioning problems. Journal of Algorithms, 54(l):85-104, 2005.
41. G. Piatetsky-Shapiro and C. Connell. Accurate estimation of the number of tuples satisfying a condition. In SIGMOD, 1984.
42. V. Poosala, V. Ganti, and Y. E. Ioannidis. Approximate query answering using histograms. IEEE Data Eng. Bull., 22(4):5-14, 1999.
43. V. Poosala and Y. E. Ioannidis. Selectivity estimation without the attribute value independence assumption. In VLDB, 1997.
44. V. Poosala, Y. E. Ioannidis, P. J. Haas, and E. J. Shekita. Improved histograms for selectivity estimation of range predicates. In SIGMOD, 1996.
45. L. Qiao, D. Agrawal, and A. E. Abbadi. RHist: adaptive summarization over continuous data streams. In CIKM, 2002.
46. F. Reiss, M. Garofalakis, and J. M. Hellerstein. Compact histograms for hierarchical identifiers. In VLDB, 2006.
47. U. Srivastava, P. J. Haas, V. Markl, M. Kutsch, and T. M. Tran. ISOMER: Consistent histogram construction using query feedback. In IGDE, 2006.
48. E. Terzi and P. Tsaparas. Efficient algorithms for sequence segmentation. In SIAM SDM, 2006.
49. N. Thaper, S. Guha, P. Indyk, and N. Koudas. Dynamic multidimensional histograms. In SIGMOD, 2002.
50. J. S. Vitter and M. Wang. Approximate computation of multidimensional aggregates of sparse data using wavelets. In SIGMOD, 1999.