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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
he58d6882a0656c1b
Venue
SIGMOD
Year
2001
Pagerank
0.00036097627
Overall Rank
82 | 99.46%
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 37 of 87 citing papers.

Rank Citing Paper Year Venue Pagerank
6,310 Sampling Based Algorithms for Quantile Computation in Sensor Networks 2011 SIGMOD 5.7992155e-05
6,637 Simple & Optimal Quantile Sketch: Combining Greenwald-Khanna with Khanna-Greenwald 2024 PODS 5.7091303e-05
7,030 SpaceSaving±: An Optimal Algorithm for Frequency Estimation and Frequent Items in the Bounded-Deletion Model 2022 VLDB 5.6006602e-05
7,037 Continuous Distributed Counting for Non-monotonic Streams 2012 PODS 5.5993909e-05
7,204 On-Off Sketch: A Fast and Accurate Sketch on Persistence 2021 VLDB 5.5717429e-05
7,387 Weighted Distinct Sampling: Cardinality Estimation for SPJ Queries 2021 SIGMOD 5.5212177e-05
7,415 Together is Better: Heavy Hitters Quantile Estimation 2023 SIGMOD 5.5160692e-05
7,542 Comparing Synopsis Techniques for Approximate Spatial Data Analysis 2019 VLDB 5.4821664e-05
7,714 Local Differentially Private Heavy Hitter Detection in Data Streams with Bounded Memory 2024 SIGMOD 5.4557265e-05
7,720 Enabling Efficient and General Subpopulation Analytics in Multidimensional Data Streams 2022 VLDB 5.4542911e-05
7,814 Spatially-Decaying Aggregation Over a Network: Model and Algorithms 2004 SIGMOD 5.4310607e-05
7,889 Sketch-based Querying of Distributed Sliding-Window Data Streams 2012 VLDB 5.4159519e-05
7,935 Sketch-based Geometric Monitoring of Distributed Stream Queries 2013 VLDB 5.4071076e-05
8,129 Logging Every Footstep: Quantile Summaries for the Entire History 2010 SIGMOD 5.3739121e-05
8,499 TreeSensing: Linearly Compressing Sketches with Flexibility 2023 SIGMOD 5.3131213e-05
8,574 Panakos: Chasing the Tails for Multidimensional Data Streams 2023 VLDB 5.297131e-05
8,603 Adaptive Sampling for Geometric Problems over Data Streams 2004 PODS 5.2904511e-05
8,800 CoopStore: Optimizing Precomputed Summaries for Aggregation 2020 VLDB 5.2602992e-05
8,837 SplineSketch: Even More Accurate Quantiles with Error Guarantees 2026 SIGMOD 5.2523304e-05
9,481 Estimating Quantiles from the Union of Historical and Streaming Data 2017 VLDB 5.1569355e-05
9,574 Controlled Intentional Degradation in Analytical Video Systems 2022 SIGMOD 5.1428165e-05
9,603 Determining Exact Quantiles with Randomized Summaries 2024 SIGMOD 5.1376962e-05
9,839 Randomized Sketches for Quantile in LSM-tree based Store 2025 SIGMOD 5.1064323e-05
9,889 DimBoost: Boosting Gradient Boosting Decision Tree to Higher Dimensions 2018 SIGMOD 5.1020145e-05
10,403 Near-Optimal Per-Key Streaming Quantile Estimation 2027 SIGMOD 4.9605343e-05
10,578 Sketch-based Secure Query Processing for Streaming Data 2026 SIGMOD 4.9605343e-05
10,584 Sublime: Sublinear Error & Space for Unbounded Skewed Streams 2026 SIGMOD 4.9605343e-05
10,746 Quantile Estimation with Duplicates 2026 SIGMOD 4.9605343e-05
10,911 CrocSort: Resource-Efficient, Skew-Resilient Parallel External Merge Sort 2026 VLDB 4.9605343e-05
10,979 Incremental Query Optimizer Statistics in Amazon Redshift 2026 VLDB 4.9605343e-05
11,265 SuSe: Summary Selection for Regular Expression Subsequence Aggregation over Streams 2025 SIGMOD 4.9605343e-05
11,332 Approximation-First Timeseries Query At Scale 2025 VLDB 4.9605343e-05
11,743 Applications of Sketching and Pathways to Impact 2023 PODS 4.9605343e-05
11,928 Efficient and Error-bounded Spatiotemporal Quantile Monitoring in Edge Computing Environments 2022 VLDB 4.9605343e-05
12,057 Approximating Median Absolute Deviation with Bounded Error 2021 VLDB 4.9605343e-05
12,442 Compact Summaries over Large Datasets 2015 PODS 4.9605343e-05
13,124 StreamMiner: A Classifier Ensemble-based Engine to Mine Concept-drifting Data Streams 2004 VLDB 4.9605343e-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.

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