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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
3095
Venue
SIGMOD
Year
1998
Pagerank
0.00023097188
Overall Rank
261 | 98.22%
DOI
10.1145/276304.276342

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{manku_sigmod98,
        title = {{Approximate Medians and other Quantiles in One Pass and with Limited Memory}},
        author = {Manku, Gurmeet Singh and Rajagopalan, Sridhar and Lindsay, Bruce G.},
        series = {{SIGMOD} '98},
        booktitle = {Proceedings of the {ACM} {SIGMOD} International Conference on Management of Data},
        publisher = {Association for Computing Machinery},
        doi = {10.1145/276304.276342},
        url = {https://dl.acm.org/doi/10.1145/276304.276342},
        year = {1998}
}

Incoming Citations (Sorted by Pagerank)

Showing 38 of 38 citing papers.

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21 Similarity Search in High Dimensions via Hashing 1999 VLDB 0.00056760516
26 Models and Issues in Data Stream Systems 2002 PODS 0.00052982574
82 Space-Efficient Online Computation of Quantile Summaries 2001 SIGMOD 0.00036378991
257 The History of Histograms (abridged) 2003 VLDB 0.00023154793
418 Tracking Join and Self-Join Sizes in Limited Storage 1999 PODS 0.00018812821
443 Random Sampling Techniques for Space Efficient Online Computation of Order Statistics of Large Datasets 1999 SIGMOD 0.00018373044
448 Self-tuning Histograms: Building Histograms Without Looking at Data 1999 SIGMOD 0.00018292618
451 Mergeable Summaries 2012 PODS 0.00018151445
551 On Computing Correlated Aggregates Over Continual Data Streams 2001 SIGMOD 0.00016635191
691 Approximate Counts and Quantiles over Sliding Windows 2004 PODS 0.00014927798
977 Dynamic Maintenance of Wavelet-Based Histograms 2000 VLDB 0.00012864017
1,082 A Transducer-Based XML Query Processor 2002 VLDB 0.00012257574
1,717 Improving the Performance of List Intersection 2009 VLDB 9.9327227e-05
2,406 Holistic Aggregates in a Networked World: Distributed Tracking of Approximate Quantiles 2005 SIGMOD 8.6187297e-05
2,513 Tuple Routing Strategies for Distributed Eddies 2003 VLDB 8.48462e-05
2,638 Quality and Efficiency in Kernel Density Estimates for Large Data 2013 SIGMOD 8.3130624e-05
3,044 Holistic UDAFs at Streaming Speeds 2004 SIGMOD 7.820774e-05
3,595 Plato: Approximate Analytics over Compressed Time Series with Tight Deterministic Error Guarantees 2020 VLDB 7.2736195e-05
3,765 Quantiles over Data Streams: An Experimental Study 2013 SIGMOD 7.1442477e-05
4,005 Fast Data Stream Algorithms using Associative Memories 2007 SIGMOD 6.9643802e-05
4,472 Relative Error Streaming Quantiles 2021 PODS 6.6810874e-05
5,184 KLL± Approximate Quantile Sketches over Dynamic Datasets 2021 VLDB 6.3283918e-05
5,216 Fast and Approximate Stream Mining of Quantiles and Frequencies Using Graphics Processors 2005 SIGMOD 6.3121293e-05
5,599 A Tight Lower Bound for Comparison-Based Quantile Summaries 2020 PODS 6.154479e-05
5,604 Approximate Quantiles and the Order of the Stream 2006 PODS 6.1533846e-05
7,123 Depth Estimation for Ranking Query Optimization 2007 VLDB 5.6966694e-05
7,286 Efficient Computation of Quantiles over Joins 2023 PODS 5.655242e-05
7,641 Spatially-Decaying Aggregation Over a Network: Model and Algorithms 2004 SIGMOD 5.5766204e-05
7,936 Logging Every Footstep: Quantile Summaries for the Entire History 2010 SIGMOD 5.5181056e-05
8,005 Together is Better: Heavy Hitters Quantile Estimation 2023 SIGMOD 5.5080221e-05
8,106 SpaceSaving±: An Optimal Algorithm for Frequency Estimation and Frequent Items in the Bounded-Deletion Model 2022 VLDB 5.4853605e-05
8,255 B^link-hash: An Adaptive Hybrid Index for In-Memory Time-Series Databases 2023 VLDB 5.4574671e-05
9,318 Estimating Quantiles from the Union of Historical and Streaming Data 2017 VLDB 5.289545e-05
9,329 Panakos: Chasing the Tails for Multidimensional Data Streams 2023 VLDB 5.2894515e-05
9,406 Controlled Intentional Degradation in Analytical Video Systems 2022 SIGMOD 5.2751448e-05
11,375 Applications of Sketching and Pathways to Impact 2023 PODS 5.093636e-05
11,569 Efficient and Error-bounded Spatiotemporal Quantile Monitoring in Edge Computing Environments 2022 VLDB 5.093636e-05
12,867 A Data Warehousing Architecture for Enabling Service Provisioning Process 2001 VLDB 5.093636e-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 0.0024089429
35 Improved Histograms for Selectivity Estimation of Range Predicates 1996 SIGMOD 0.00048481081
36 Accurate Estimation Of The Number Of Tuples Satisfying A Condition 1984 SIGMOD 0.00048351457
783 A One-Pass Algorithm for Accurately Estimating Quantiles for Disk-Resident Data 1997 VLDB 0.00014076306
Previous Page 1 / 1 Next

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