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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
3034
Venue
SIGMOD
Year
1998
Pagerank
0.00029383266
Overall Rank
274 | 98.10%
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 0.00076824554
43 Models and Issues in Data Stream Systems 2002 PODS 0.00072660894
126 Space-Efficient Online Computation of Quantile Summaries 2001 SIGMOD 0.00044753012
325 The History of Histograms (abridged) 2003 VLDB 0.00027398081
398 Mergeable Summaries 2012 PODS 0.00024383201
446 Random Sampling Techniques for Space Efficient Online Computation of Order Statistics of Large Datasets 1999 SIGMOD 0.00023002059
527 Self-tuning Histograms: Building Histograms Without Looking at Data 1999 SIGMOD 0.00020862475
550 Tracking Join and Self-Join Sizes in Limited Storage 1999 PODS 0.00020346247
617 On Computing Correlated Aggregates Over Continual Data Streams 2001 SIGMOD 0.00019048986
846 Approximate Counts and Quantiles over Sliding Windows 2004 PODS 0.00015949293
1,121 Improving the Performance of List Intersection 2009 VLDB 0.00013838956
1,123 A Transducer-Based XML Query Processor 2002 VLDB 0.00013836955
1,126 Dynamic Maintenance of Wavelet-Based Histograms 2000 VLDB 0.0001381102
2,818 Tuple Routing Strategies for Distributed Eddies 2003 VLDB 8.0673424e-05
2,934 Holistic Aggregates in a Networked World: Distributed Tracking of Approximate Quantiles 2005 SIGMOD 7.8628636e-05
3,220 Quality and Efficiency in Kernel Density Estimates for Large Data 2013 SIGMOD 7.3590708e-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
3,863 Fast Data Stream Algorithms using Associative Memories 2007 SIGMOD 6.6838674e-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
4,969 Relative Error Streaming Quantiles 2021 PODS 5.790405e-05
5,465 Fast and Approximate Stream Mining of Quantiles and Frequencies Using Graphics Processors 2005 SIGMOD 5.491937e-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
6,826 Depth Estimation for Ranking Query Optimization 2007 VLDB 4.9090969e-05
7,181 Spatially-Decaying Aggregation Over a Network: Model and Algorithms 2004 SIGMOD 4.8030491e-05
7,514 Logging Every Footstep: Quantile Summaries for the Entire History 2010 SIGMOD 4.7135369e-05
8,065 Efficient Computation of Quantiles over Joins 2023 PODS 4.5899218e-05
8,066 Together is Better: Heavy Hitters Quantile Estimation 2023 SIGMOD 4.5899218e-05
8,203 SpaceSaving±: An Optimal Algorithm for Frequency Estimation and Frequent Items in the Bounded-Deletion Model 2022 VLDB 4.5552628e-05
9,162 Estimating Quantiles from the Union of Historical and Streaming Data 2017 VLDB 4.380727e-05
9,230 Panakos: Chasing the Tails for Multidimensional Data Streams 2023 VLDB 4.3650857e-05
9,301 Controlled Intentional Degradation in Analytical Video Systems 2022 SIGMOD 4.3558097e-05
11,172 Applications of Sketching and Pathways to Impact 2023 PODS 4.1905499e-05
11,231 Blink-hash: An Adaptive Hybrid Index for In-Memory Time-Series Databases 2023 VLDB 4.1905499e-05
11,373 Efficient and Error-bounded Spatiotemporal Quantile Monitoring in Edge Computing Environments 2022 VLDB 4.1905499e-05
12,683 A Data Warehousing Architecture for Enabling Service Provisioning Process 2001 VLDB 4.1905499e-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 0.0040465394
28 Accurate Estimation Of The Number Of Tuples Satisfying A Condition 1984 SIGMOD 0.00080571183
63 Improved Histograms for Selectivity Estimation of Range Predicates 1996 SIGMOD 0.00063595699
526 A One-Pass Algorithm for Accurately Estimating Quantiles for Disk-Resident Data 1997 VLDB 0.00021046587
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4,080 Quantiles over Data Streams: An Experimental Study 2013 SIGMOD 6.4619407e-05
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