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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
0.00044753012
Overall Rank
126 | 99.13%
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
43 Models and Issues in Data Stream Systems 2002 PODS 0.00072660894
168 Approximate Frequency Counts over Data Streams 2002 VLDB 0.0003915627
344 Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries 2001 VLDB 0.00026698826
398 Mergeable Summaries 2012 PODS 0.00024383201
430 Approximate Query Processing: Taming the TeraBytes! A Tutorial 2001 VLDB 0.00023406426
589 Estimating PageRank on Graph Streams 2008 PODS 0.00019569121
694 BlazeIt: Optimizing Declarative Aggregation and Limit Queries for Neural Network-Based Video Analytics 2020 VLDB 0.00018031141
783 StatStream: Statistical Monitoring of Thousands of Data Streams in Real Time 2002 VLDB 0.00016648503
831 Finding Frequent Items in Data Streams 2008 VLDB 0.00016094846
846 Approximate Counts and Quantiles over Sliding Windows 2004 PODS 0.00015949293
849 Dynamic Multidimensional Histograms 2002 SIGMOD 0.00015919478
955 How to Summarize the Universe: Dynamic Maintenance of Quantiles 2002 VLDB 0.00015069776
1,065 Processing Complex Aggregate Queries over Data Streams 2002 SIGMOD 0.00014344675
1,361 SQL/MapReduce: A practical approach to self-describing, polymorphic, and parallelizable user-defined functions 2009 VLDB 0.00012393719
1,394 Sketching Streams Through the Net: Distributed Approximate Query Tracking 2005 VLDB 0.00012218557
1,481 Automating Large-Scale Data Quality Verification 2018 VLDB 0.00011715754
1,661 On Multi-Column Foreign Key Discovery 2010 VLDB 0.00010967185
1,712 Approximate Join Processing Over Data Streams 2003 SIGMOD 0.00010786152
1,899 VF2Boost: Very Fast Vertical Federated Gradient Boosting for Cross-Enterprise Learning 2021 SIGMOD 0.00010171063
2,068 Optimal Sampling From Distributed Streams 2010 PODS 9.638573e-05
2,448 Multi-Dimensional Regression Analysis of Time-Series Data Streams 2002 VLDB 8.7935134e-05
2,645 Camel: Managing Data for Efficient Stream Learning 2022 SIGMOD 8.3768838e-05
2,918 DDSketch: A Fast and Fully-Mergeable Quantile Sketch with Relative-Error Guarantees 2019 VLDB 7.9043213e-05
2,934 Holistic Aggregates in a Networked World: Distributed Tracking of Approximate Quantiles 2005 SIGMOD 7.8628636e-05
2,952 Space- and Time-Efficient Deterministic Algorithms for Biased Quantiles over Data Streams 2006 PODS 7.8230109e-05
2,954 Moment-Based Quantile Sketches for Efficient High Cardinality Aggregation Queries 2018 VLDB 7.8218804e-05
3,047 Sketching Probabilistic Data Streams 2007 SIGMOD 7.6537004e-05
3,220 Quality and Efficiency in Kernel Density Estimates for Large Data 2013 SIGMOD 7.3590708e-05
3,322 Sketching Linear Classifiers over Data Streams 2018 SIGMOD 7.217965e-05
3,391 Estimating Statistical Aggregates on Probabilistic Data Streams 2007 PODS 7.1427968e-05
3,491 Holistic UDAFs at Streaming Speeds 2004 SIGMOD 7.0436671e-05
3,801 Plato: Approximate Analytics over Compressed Time Series with Tight Deterministic Error Guarantees 2020 VLDB 6.7528979e-05
3,810 SketchML: Accelerating Distributed Machine Learning with Data Sketches 2018 SIGMOD 6.7375383e-05
3,863 Fast Data Stream Algorithms using Associative Memories 2007 SIGMOD 6.6838674e-05
3,989 Beyond Simple Aggregates: Indexing for Summary Queries 2011 PODS 6.5545373e-05
4,024 Approximate Quantiles and the Order of the Stream 2006 PODS 6.5177066e-05
4,080 Quantiles over Data Streams: An Experimental Study 2013 SIGMOD 6.4619407e-05
4,170 The Adversarial Robustness of Sampling 2020 PODS 6.381766e-05
4,190 Randomized Algorithms for Tracking Distributed Count, Frequencies, and Ranks 2012 PODS 6.3677694e-05
4,246 Optimal Tracking of Distributed Heavy Hitters and Quantiles 2009 PODS 6.318484e-05
4,924 An Experimental Evaluation of Large Scale GBDT Systems 2019 VLDB 5.8211961e-05
4,969 Relative Error Streaming Quantiles 2021 PODS 5.790405e-05
5,068 Randomized Multi-pass Streaming Skyline Algorithms 2009 VLDB 5.7143436e-05
5,119 Sampling Algorithms in a Stream Operator 2005 SIGMOD 5.6774637e-05
5,465 Fast and Approximate Stream Mining of Quantiles and Frequencies Using Graphics Processors 2005 SIGMOD 5.491937e-05
5,543 Lightweight Cardinality Estimation in LSM-based Systems 2018 SIGMOD 5.4486922e-05
5,636 KLL± Approximate Quantile Sketches over Dynamic Datasets 2021 VLDB 5.3985928e-05
5,954 A Tight Lower Bound for Comparison-Based Quantile Summaries 2020 PODS 5.2542261e-05
6,311 VergeDB: A Database for IoT Analytics on Edge Devices 2021 CIDR 5.1112212e-05
6,464 Materialization and Reuse Optimizations for Production Data Science Pipelines 2022 SIGMOD 5.0471003e-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
63 Improved Histograms for Selectivity Estimation of Range Predicates 1996 SIGMOD 0.00063595699
270 Fast Incremental Maintenance of Approximate Histograms 1997 VLDB 0.00029648047
274 Approximate Medians and other Quantiles in One Pass and with Limited Memory 1998 SIGMOD 0.00029383266
446 Random Sampling Techniques for Space Efficient Online Computation of Order Statistics of Large Datasets 1999 SIGMOD 0.00023002059
526 A One-Pass Algorithm for Accurately Estimating Quantiles for Disk-Resident Data 1997 VLDB 0.00021046587
531 Random Sampling for Histogram Construction: How much is enough? 1998 SIGMOD 0.0002079072
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