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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
3258
Venue
SIGMOD
Year
2001
Pagerank
0.00036461682
Overall Rank
83 | 99.43%
DOI
-

Incoming Non-self Citations Over Time

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Incoming Citations (Sorted by Pagerank)

Showing 50 of 82 citing papers.

Rank Citing Paper Year Venue Pagerank
27 Models and Issues in Data Stream Systems 2002 PODS 0.00053371163
119 Approximate Frequency Counts over Data Streams 2002 VLDB 0.00032265625
302 Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries 2001 VLDB 0.00022030492
364 Approximate Query Processing: Taming the TeraBytes! A Tutorial 2001 VLDB 0.00020183267
447 Mergeable Summaries 2012 PODS 0.00018364636
564 BlazeIt: Optimizing Declarative Aggregation and Limit Queries for Neural Network-Based Video Analytics 2020 VLDB 0.0001653392
655 StatStream: Statistical Monitoring of Thousands of Data Streams in Real Time 2002 VLDB 0.00015390657
680 Approximate Counts and Quantiles over Sliding Windows 2004 PODS 0.00015150785
717 Dynamic Multidimensional Histograms 2002 SIGMOD 0.00014794319
800 Processing Complex Aggregate Queries over Data Streams 2002 SIGMOD 0.00013970432
814 How to Summarize the Universe: Dynamic Maintenance of Quantiles 2002 VLDB 0.00013887125
856 Finding Frequent Items in Data Streams 2008 VLDB 0.00013609218
1,067 Sketching Streams Through the Net: Distributed Approximate Query Tracking 2005 VLDB 0.00012431746
1,239 SQL/MapReduce: A practical approach to self-describing, polymorphic, and parallelizable user-defined functions 2009 VLDB 0.00011595642
1,337 Automating Large-Scale Data Quality Verification 2018 VLDB 0.00011211329
1,376 Approximate Join Processing Over Data Streams 2003 SIGMOD 0.00011080787
1,383 Estimating PageRank on Graph Streams 2008 PODS 0.00011060034
1,499 On Multi-Column Foreign Key Discovery 2010 VLDB 0.00010653578
1,929 VF2Boost: Very Fast Vertical Federated Gradient Boosting for Cross-Enterprise Learning 2021 SIGMOD 9.5547439e-05
2,135 Multi-Dimensional Regression Analysis of Time-Series Data Streams 2002 VLDB 9.1796931e-05
2,308 Optimal Sampling From Distributed Streams 2010 PODS 8.858717e-05
2,376 Holistic Aggregates in a Networked World: Distributed Tracking of Approximate Quantiles 2005 SIGMOD 8.7434149e-05
2,417 DDSketch: A Fast and Fully-Mergeable Quantile Sketch with Relative-Error Guarantees 2019 VLDB 8.6803686e-05
2,698 Moment-Based Quantile Sketches for Efficient High Cardinality Aggregation Queries 2018 VLDB 8.2943671e-05
2,706 Space- and Time-Efficient Deterministic Algorithms for Biased Quantiles over Data Streams 2006 PODS 8.2856646e-05
2,963 Sketching Probabilistic Data Streams 2007 SIGMOD 7.9682307e-05
3,066 Quality and Efficiency in Kernel Density Estimates for Large Data 2013 SIGMOD 7.8598246e-05
3,167 Camel: Managing Data for Efficient Stream Learning 2022 SIGMOD 7.7452873e-05
3,183 Holistic UDAFs at Streaming Speeds 2004 SIGMOD 7.7320109e-05
3,281 Estimating Statistical Aggregates on Probabilistic Data Streams 2007 PODS 7.6298742e-05
3,388 Sketching Linear Classifiers over Data Streams 2018 SIGMOD 7.5265694e-05
3,575 Plato: Approximate Analytics over Compressed Time Series with Tight Deterministic Error Guarantees 2020 VLDB 7.354696e-05
3,654 Quantiles over Data Streams: An Experimental Study 2013 SIGMOD 7.2880444e-05
3,789 Randomized Algorithms for Tracking Distributed Count, Frequencies, and Ranks 2012 PODS 7.1781157e-05
3,906 Optimal Tracking of Distributed Heavy Hitters and Quantiles 2009 PODS 7.0894298e-05
3,965 Fast Data Stream Algorithms using Associative Memories 2007 SIGMOD 7.0610485e-05
4,019 SketchML: Accelerating Distributed Machine Learning with Data Sketches 2018 SIGMOD 7.0233795e-05
4,027 The Adversarial Robustness of Sampling 2020 PODS 7.0174566e-05
4,238 Beyond Simple Aggregates: Indexing for Summary Queries 2011 PODS 6.8754979e-05
4,425 Relative Error Streaming Quantiles 2021 PODS 6.7704846e-05
4,876 Lightweight Cardinality Estimation in LSM-based Systems 2018 SIGMOD 6.5298962e-05
4,909 Randomized Multi-pass Streaming Skyline Algorithms 2009 VLDB 6.5144482e-05
5,107 KLL± Approximate Quantile Sketches over Dynamic Datasets 2021 VLDB 6.4260156e-05
5,118 Sampling Algorithms in a Stream Operator 2005 SIGMOD 6.4208186e-05
5,145 Fast and Approximate Stream Mining of Quantiles and Frequencies Using Graphics Processors 2005 SIGMOD 6.4117277e-05
5,508 An Experimental Evaluation of Large Scale GBDT Systems 2019 VLDB 6.2581278e-05
5,556 A Tight Lower Bound for Comparison-Based Quantile Summaries 2020 PODS 6.2357201e-05
5,566 Approximate Quantiles and the Order of the Stream 2006 PODS 6.2322926e-05
5,982 VergeDB: A Database for IoT Analytics on Edge Devices 2021 CIDR 6.0804979e-05
6,201 Sampling Based Algorithms for Quantile Computation in Sensor Networks 2011 SIGMOD 6.0166426e-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 0.00048862242
234 Fast Incremental Maintenance of Approximate Histograms 1997 VLDB 0.00024050031
258 Approximate Medians and other Quantiles in One Pass and with Limited Memory 1998 SIGMOD 0.00023249876
433 Random Sampling Techniques for Space Efficient Online Computation of Order Statistics of Large Datasets 1999 SIGMOD 0.00018623769
503 Random Sampling for Histogram Construction: How much is enough? 1998 SIGMOD 0.00017452048
767 A One-Pass Algorithm for Accurately Estimating Quantiles for Disk-Resident Data 1997 VLDB 0.00014243361
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