Optimal and Approximate Computation of Summary Statistics for Range Aggregates
Summary: Algorithms to build histograms for arbitrary range-aggregate queries that are provably optimal or approximable (pseudo-polynomial time), extending beyond prior equality/prefix/hierarchical-only guarantees. Fast, provably-optimal wavelet-selection for range aggregates with experiments showing clear gains over prior methods. (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Anna C. Gilbert (AT&T)
- 2. Yannis Kotidis (AT&T)
- 3. S. Muthukrishnan (AT&T)
- 4. Martin J. Strauss (AT&T)
BibTeX Citation
@inproceedings{gilbert_pods01,
address = {New York, NY, USA},
series = {{PODS} '01},
title = {{Optimal and Approximate Computation of Summary Statistics for Range Aggregates}},
url = {https://dl.acm.org/doi/10.1145/375551.375598},
doi = {10.1145/375551.375598},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Gilbert, Anna C. and Kotidis, Yannis and Muthukrishnan, S. and Strauss, Martin J.},
year = {2001}
}
Incoming Citations (Sorted by Pagerank)
Showing 10 of 10 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 312 | Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries | 2001 | VLDB | 0.00021311793 |
| 372 | Approximate Query Processing: Taming the TeraBytes! A Tutorial | 2001 | VLDB | 0.00019720059 |
| 1,082 | Approximate Query Processing: No Silver Bullet | 2017 | SIGMOD | 0.00012122749 |
| 1,331 | A Privacy-Preserving Index for Range Queries | 2004 | VLDB | 0.00010999239 |
| 2,000 | Sample + Seek: Approximating Aggregates with Distribution Precision Guarantee | 2016 | SIGMOD | 9.2112617e-05 |
| 3,163 | REHIST: Relative Error Histogram Construction Algorithms | 2004 | VLDB | 7.5789852e-05 |
| 5,004 | Fast Algorithms For Hierarchical Range Histogram Construction | 2002 | PODS | 6.3186165e-05 |
| 12,039 | FlashP: An Analytical Pipeline for Real-time Forecasting of Time-Series Relational Data | 2021 | VLDB | 4.9793485e-05 |
| 13,093 | AIMS: An Immersidata Management System | 2003 | CIDR | 4.9793485e-05 |
| 13,126 | How to Evaluate Multiple Range-Sum Queries Progressively | 2002 | PODS | 4.9793485e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 10 of 10 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 9 | Online Aggregation | 1997 | SIGMOD | 0.00076195956 |
| 36 | Accurate Estimation Of The Number Of Tuples Satisfying A Condition | 1984 | SIGMOD | 0.00047863192 |
| 169 | Wavelet-Based Histograms for Selectivity Estimation | 1998 | SIGMOD | 0.00027134723 |
| 222 | Approximate Computation of Multidimensional Aggregates of Sparse Data Using Wavelets | 1999 | SIGMOD | 0.00024218831 |
| 275 | Optimal Histograms with Quality Guarantees | 1998 | VLDB | 0.00022413521 |
| 295 | Towards Estimation Error Guarantees for Distinct Values | 2000 | PODS | 0.00021914399 |
| 336 | The Aqua Approximate Query Answering System | 1999 | SIGMOD | 0.00020657819 |
| 519 | Random Sampling for Histogram Construction: How much is enough? | 1998 | SIGMOD | 0.00016942879 |
| 806 | Universality of Serial Histograms | 1993 | VLDB | 0.00013792174 |
| 3,644 | Optimal Histograms for Hierarchical Range Queries (Extended Abstract) | 2000 | PODS | 7.1399991e-05 |
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|---|---|---|---|---|
| 1 | 3,163 | REHIST: Relative Error Histogram Construction Algorithms | 2004 | VLDB |
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| 4 | 866 | Approximating Multi-Dimensional Aggregate Range Queries Over Real Attributes | 2000 | SIGMOD |
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| 6 | 222 | Approximate Computation of Multidimensional Aggregates of Sparse Data Using Wavelets | 1999 | SIGMOD |
| 7 | 312 | Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries | 2001 | VLDB |
| 8 | 309 | Approximate Query Processing Using Wavelets | 2000 | VLDB |
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| 10 | 169 | Wavelet-Based Histograms for Selectivity Estimation | 1998 | SIGMOD |