Relative Error Streaming Quantiles
Summary: Randomized, fully-mergeable streaming sketch achieving multiplicative (1±ε) rank (relative) approximations with O(log^{1.5}(ε n)/ε) stored items, improving prior space bounds. Requires no knowledge of stream length and is within a sqrt(log(ε n)) factor of optimal. (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Graham Cormode (University of Warwick)
- 2. Zohar Karnin (Amazon)
- 3. Edo Liberty (Pinecone)
- 4. Justin Thaler (Georgetown University)
- 5. Pavel Veselý (Charles University)
BibTeX Citation
@inproceedings{cormode_pods21,
address = {New York, NY, USA},
series = {{PODS} '21},
title = {{Relative Error Streaming Quantiles}},
url = {https://dl.acm.org/doi/10.1145/3452021.3458323},
doi = {10.1145/3452021.3458323},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Cormode, Graham and Karnin, Zohar and Liberty, Edo and Thaler, Justin and Veselý, Pavel},
year = {2021}
}Incoming Citations (Sorted by Pagerank)
Showing 9 of 9 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 5,704 | Optimizing Data Pipelines for Machine Learning in Feature Stores | 2023 | VLDB | 6.1146371e-05 |
| 7,091 | Simple & Optimal Quantile Sketch: Combining Greenwald-Khanna with Khanna-Greenwald | 2024 | PODS | 5.7062634e-05 |
| 8,005 | Together is Better: Heavy Hitters Quantile Estimation | 2023 | SIGMOD | 5.5080221e-05 |
| 9,386 | Determining Exact Quantiles with Randomized Summaries | 2024 | SIGMOD | 5.2755515e-05 |
| 9,618 | SplineSketch: Even More Accurate Quantiles with Error Guarantees | 2026 | SIGMOD | 5.2434488e-05 |
| 10,487 | Quantile Estimation with Duplicates | 2026 | SIGMOD | 5.093636e-05 |
| 10,675 | Randomized Sketches for Quantile in LSM-tree based Store | 2025 | SIGMOD | 5.093636e-05 |
| 11,375 | Applications of Sketching and Pathways to Impact | 2023 | PODS | 5.093636e-05 |
| 11,450 | CORE-Sketch: On Exact Computation of Median Absolute Deviation with Limited Space | 2023 | VLDB | 5.093636e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 8 of 8 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 82 | Space-Efficient Online Computation of Quantile Summaries | 2001 | SIGMOD | 0.00036378991 |
| 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 |
| 451 | Mergeable Summaries | 2012 | PODS | 0.00018151445 |
| 691 | Approximate Counts and Quantiles over Sliding Windows | 2004 | PODS | 0.00014927798 |
| 2,455 | DDSketch: A Fast and Fully-Mergeable Quantile Sketch with Relative-Error Guarantees | 2019 | VLDB | 8.5552968e-05 |
| 2,716 | Space- and Time-Efficient Deterministic Algorithms for Biased Quantiles over Data Streams | 2006 | PODS | 8.2108958e-05 |
| 5,599 | A Tight Lower Bound for Comparison-Based Quantile Summaries | 2020 | PODS | 6.154479e-05 |
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Semantically Similar Papers
| # | Overall Rank | Paper | Year | Venue |
|---|---|---|---|---|
| 1 | 5,604 | Approximate Quantiles and the Order of the Stream | 2006 | PODS |
| 2 | 2,716 | Space- and Time-Efficient Deterministic Algorithms for Biased Quantiles over Data Streams | 2006 | PODS |
| 3 | 691 | Approximate Counts and Quantiles over Sliding Windows | 2004 | PODS |
| 4 | 443 | Random Sampling Techniques for Space Efficient Online Computation of Order Statistics of Large Datasets | 1999 | SIGMOD |
| 5 | 5,599 | A Tight Lower Bound for Comparison-Based Quantile Summaries | 2020 | PODS |
| 6 | 5,184 | KLL± Approximate Quantile Sketches over Dynamic Datasets | 2021 | VLDB |
| 7 | 10,675 | Randomized Sketches for Quantile in LSM-tree based Store | 2025 | SIGMOD |
| 8 | 82 | Space-Efficient Online Computation of Quantile Summaries | 2001 | SIGMOD |
| 9 | 9,386 | Determining Exact Quantiles with Randomized Summaries | 2024 | SIGMOD |
| 10 | 7,091 | Simple & Optimal Quantile Sketch: Combining Greenwald-Khanna with Khanna-Greenwald | 2024 | PODS |