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Space-Efficient Online Computation of Quantile Summaries

Summary: Online algorithm for epsilon-approximate quantile summaries on streaming data, with worst-case space O((1/epsilon) log(epsilon N)). Improves upon O((1/epsilon) log^2(epsilon N); requires no a priori knowledge of N; experiments show space tighter than both worst-case and prior methods. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
3319
Venue
SIGMOD
Year
2001
Pagerank
0.00036378991
Overall Rank
82 | 99.44%
DOI
10.1145/375663.375670

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{greenwald_sigmod01,
        title = {{Space-Efficient Online Computation of Quantile Summaries}},
        author = {Greenwald, Michael and Khanna, Sanjeev},
        series = {{SIGMOD} '01},
        booktitle = {Proceedings of the {ACM} {SIGMOD} International Conference on Management of Data},
        publisher = {Association for Computing Machinery},
        doi = {10.1145/375663.375670},
        url = {https://dl.acm.org/doi/10.1145/375663.375670},
        year = {2001}
}

Incoming Citations (Sorted by Pagerank)

Showing 50 of 84 citing papers.

Rank Citing Paper Year Venue Pagerank
26 Models and Issues in Data Stream Systems 2002 PODS 0.00052982574
122 Approximate Frequency Counts over Data Streams 2002 VLDB 0.00031260115
311 Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries 2001 VLDB 0.00021760621
363 Approximate Query Processing: Taming the TeraBytes! A Tutorial 2001 VLDB 0.0002005475
451 Mergeable Summaries 2012 PODS 0.00018151445
569 BlazeIt: Optimizing Declarative Aggregation and Limit Queries for Neural Network-Based Video Analytics 2020 VLDB 0.00016348191
668 StatStream: Statistical Monitoring of Thousands of Data Streams in Real Time 2002 VLDB 0.00015166017
691 Approximate Counts and Quantiles over Sliding Windows 2004 PODS 0.00014927798
723 Dynamic Multidimensional Histograms 2002 SIGMOD 0.00014620977
817 Processing Complex Aggregate Queries over Data Streams 2002 SIGMOD 0.00013823702
842 How to Summarize the Universe: Dynamic Maintenance of Quantiles 2002 VLDB 0.00013671191
885 Finding Frequent Items in Data Streams 2008 VLDB 0.00013419017
1,045 Sketching Streams Through the Net: Distributed Approximate Query Tracking 2005 VLDB 0.00012440928
1,264 SQL/MapReduce: A practical approach to self-describing, polymorphic, and parallelizable user-defined functions 2009 VLDB 0.00011416393
1,350 Automating Large-Scale Data Quality Verification 2018 VLDB 0.00011065626
1,396 Estimating PageRank on Graph Streams 2008 PODS 0.00010921308
1,397 Approximate Join Processing Over Data Streams 2003 SIGMOD 0.00010906135
1,521 On Multi-Column Foreign Key Discovery 2010 VLDB 0.00010506299
1,959 VF2Boost: Very Fast Vertical Federated Gradient Boosting for Cross-Enterprise Learning 2021 SIGMOD 9.4090198e-05
2,171 Multi-Dimensional Regression Analysis of Time-Series Data Streams 2002 VLDB 9.0406168e-05
2,178 Optimal Sampling From Distributed Streams 2010 PODS 9.0159538e-05
2,406 Holistic Aggregates in a Networked World: Distributed Tracking of Approximate Quantiles 2005 SIGMOD 8.6187297e-05
2,455 DDSketch: A Fast and Fully-Mergeable Quantile Sketch with Relative-Error Guarantees 2019 VLDB 8.5552968e-05
2,638 Quality and Efficiency in Kernel Density Estimates for Large Data 2013 SIGMOD 8.3130624e-05
2,697 Sketching Probabilistic Data Streams 2007 SIGMOD 8.2451054e-05
2,716 Space- and Time-Efficient Deterministic Algorithms for Biased Quantiles over Data Streams 2006 PODS 8.2108958e-05
2,747 Moment-Based Quantile Sketches for Efficient High Cardinality Aggregation Queries 2018 VLDB 8.1711208e-05
2,988 Estimating Statistical Aggregates on Probabilistic Data Streams 2007 PODS 7.8907087e-05
3,044 Holistic UDAFs at Streaming Speeds 2004 SIGMOD 7.820774e-05
3,221 Camel: Managing Data for Efficient Stream Learning 2022 SIGMOD 7.6271601e-05
3,445 Sketching Linear Classifiers over Data Streams 2018 SIGMOD 7.4089141e-05
3,595 Plato: Approximate Analytics over Compressed Time Series with Tight Deterministic Error Guarantees 2020 VLDB 7.2736195e-05
3,765 Quantiles over Data Streams: An Experimental Study 2013 SIGMOD 7.1442477e-05
3,832 Optimal Tracking of Distributed Heavy Hitters and Quantiles 2009 PODS 7.0856664e-05
3,856 Randomized Algorithms for Tracking Distributed Count, Frequencies, and Ranks 2012 PODS 7.0690791e-05
4,005 Fast Data Stream Algorithms using Associative Memories 2007 SIGMOD 6.9643802e-05
4,083 SketchML: Accelerating Distributed Machine Learning with Data Sketches 2018 SIGMOD 6.9160949e-05
4,211 The Adversarial Robustness of Sampling 2020 PODS 6.8299006e-05
4,285 Beyond Simple Aggregates: Indexing for Summary Queries 2011 PODS 6.7812351e-05
4,472 Relative Error Streaming Quantiles 2021 PODS 6.6810874e-05
4,941 Randomized Multi-pass Streaming Skyline Algorithms 2009 VLDB 6.4333573e-05
4,945 Lightweight Cardinality Estimation in LSM-based Systems 2018 SIGMOD 6.4321265e-05
5,184 KLL± Approximate Quantile Sketches over Dynamic Datasets 2021 VLDB 6.3283918e-05
5,193 Sampling Algorithms in a Stream Operator 2005 SIGMOD 6.3238562e-05
5,216 Fast and Approximate Stream Mining of Quantiles and Frequencies Using Graphics Processors 2005 SIGMOD 6.3121293e-05
5,589 An Experimental Evaluation of Large Scale GBDT Systems 2019 VLDB 6.1559057e-05
5,599 A Tight Lower Bound for Comparison-Based Quantile Summaries 2020 PODS 6.154479e-05
5,604 Approximate Quantiles and the Order of the Stream 2006 PODS 6.1533846e-05
6,061 VergeDB: A Database for IoT Analytics on Edge Devices 2021 CIDR 5.9910733e-05
6,178 Sampling Based Algorithms for Quantile Computation in Sensor Networks 2011 SIGMOD 5.949619e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 6 of 6 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank Cited Paper Year Venue Pagerank
35 Improved Histograms for Selectivity Estimation of Range Predicates 1996 SIGMOD 0.00048481081
235 Fast Incremental Maintenance of Approximate Histograms 1997 VLDB 0.00023783792
261 Approximate Medians and other Quantiles in One Pass and with Limited Memory 1998 SIGMOD 0.00023097188
443 Random Sampling Techniques for Space Efficient Online Computation of Order Statistics of Large Datasets 1999 SIGMOD 0.00018373044
508 Random Sampling for Histogram Construction: How much is enough? 1998 SIGMOD 0.00017275873
783 A One-Pass Algorithm for Accurately Estimating Quantiles for Disk-Resident Data 1997 VLDB 0.00014076306
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