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Approximate Medians and other Quantiles in One Pass and with Limited Memory

Summary: One-pass, memory footprint an order of magnitude smaller than prior work, approximate quantile algorithms with explicit guarantees for any distribution and arrival order. Integrates sampling to further shrink memory, delivering probabilistic guarantees at a user-specified confidence; theory, algorithms, and simulations across datasets. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
3033
Venue
SIGMOD
Year
1998
Pagerank
0.00029364901
Overall Rank
275 | 98.09%
DOI
-

Incoming Non-self Citations Over Time

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Incoming Citations (Sorted by Pagerank)

Showing 38 of 38 citing papers.

Rank Citing Paper Year Venue Pagerank
34 Similarity Search in High Dimensions via Hashing 1999 VLDB 0.00076637636
43 Models and Issues in Data Stream Systems 2002 PODS 0.00072723062
126 Space-Efficient Online Computation of Quantile Summaries 2001 SIGMOD 0.00044744986
325 The History of Histograms (abridged) 2003 VLDB 0.00027378328
402 Mergeable Summaries 2012 PODS 0.00024196343
443 Random Sampling Techniques for Space Efficient Online Computation of Order Statistics of Large Datasets 1999 SIGMOD 0.00022996573
529 Self-tuning Histograms: Building Histograms Without Looking at Data 1999 SIGMOD 0.00020828852
549 Tracking Join and Self-Join Sizes in Limited Storage 1999 PODS 0.00020376603
619 On Computing Correlated Aggregates Over Continual Data Streams 2001 SIGMOD 0.00019066583
848 Approximate Counts and Quantiles over Sliding Windows 2004 PODS 0.0001597308
1,123 A Transducer-Based XML Query Processor 2002 VLDB 0.00013849322
1,124 Improving the Performance of List Intersection 2009 VLDB 0.00013847565
1,127 Dynamic Maintenance of Wavelet-Based Histograms 2000 VLDB 0.00013819179
2,814 Tuple Routing Strategies for Distributed Eddies 2003 VLDB 8.0749691e-05
2,931 Holistic Aggregates in a Networked World: Distributed Tracking of Approximate Quantiles 2005 SIGMOD 7.8697258e-05
3,313 Quality and Efficiency in Kernel Density Estimates for Large Data 2013 SIGMOD 7.2381634e-05
3,486 Holistic UDAFs at Streaming Speeds 2004 SIGMOD 7.0502199e-05
3,798 Plato: Approximate Analytics over Compressed Time Series with Tight Deterministic Error Guarantees 2020 VLDB 6.7592302e-05
3,860 Fast Data Stream Algorithms using Associative Memories 2007 SIGMOD 6.6902516e-05
4,031 Approximate Quantiles and the Order of the Stream 2006 PODS 6.5121141e-05
4,076 Quantiles over Data Streams: An Experimental Study 2013 SIGMOD 6.4680854e-05
4,966 Relative Error Streaming Quantiles 2021 PODS 5.7959749e-05
5,457 Fast and Approximate Stream Mining of Quantiles and Frequencies Using Graphics Processors 2005 SIGMOD 5.4970777e-05
5,627 KLL± Approximate Quantile Sketches over Dynamic Datasets 2021 VLDB 5.403782e-05
5,956 A Tight Lower Bound for Comparison-Based Quantile Summaries 2020 PODS 5.2566971e-05
6,829 Depth Estimation for Ranking Query Optimization 2007 VLDB 4.9136064e-05
7,180 Spatially-Decaying Aggregation Over a Network: Model and Algorithms 2004 SIGMOD 4.807579e-05
7,515 Logging Every Footstep: Quantile Summaries for the Entire History 2010 SIGMOD 4.7180617e-05
8,061 Efficient Computation of Quantiles over Joins 2023 PODS 4.5943269e-05
8,062 Together is Better: Heavy Hitters Quantile Estimation 2023 SIGMOD 4.5943269e-05
8,203 SpaceSaving±: An Optimal Algorithm for Frequency Estimation and Frequent Items in the Bounded-Deletion Model 2022 VLDB 4.5596344e-05
9,162 Estimating Quantiles from the Union of Historical and Streaming Data 2017 VLDB 4.3849295e-05
9,227 Panakos: Chasing the Tails for Multidimensional Data Streams 2023 VLDB 4.3692732e-05
9,296 Controlled Intentional Degradation in Analytical Video Systems 2022 SIGMOD 4.3599613e-05
11,169 Applications of Sketching and Pathways to Impact 2023 PODS 4.1945683e-05
11,229 Blink-hash: An Adaptive Hybrid Index for In-Memory Time-Series Databases 2023 VLDB 4.1945683e-05
11,371 Efficient and Error-bounded Spatiotemporal Quantile Monitoring in Edge Computing Environments 2022 VLDB 4.1945683e-05
12,674 A Data Warehousing Architecture for Enabling Service Provisioning Process 2001 VLDB 4.1945683e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 4 of 4 cited papers.

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

Rank Cited Paper Year Venue Pagerank
1 Access Path Selection in a Relational Database Management System 1979 SIGMOD 0.0040449103
28 Accurate Estimation Of The Number Of Tuples Satisfying A Condition 1984 SIGMOD 0.00080435857
64 Improved Histograms for Selectivity Estimation of Range Predicates 1996 SIGMOD 0.00063612837
526 A One-Pass Algorithm for Accurately Estimating Quantiles for Disk-Resident Data 1997 VLDB 0.00021044221
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