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Approximate Counts and Quantiles over Sliding Windows

Summary: Deterministic and randomized algorithms for ε-approximate frequency counts and quantiles over both fixed-size and adversarial variable-size sliding windows, using O((1/ε) polylog(1/ε,N)) space. Improves prior quantile bounds from O(1/ε^2) and gives the first space-efficient bounds for sliding-window frequency counts. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
hc410e4c2143123ee
Venue
PODS
Year
2004
Pagerank
0.00014603777
Overall Rank
710 | 95.23%
DOI
10.1145/1055558.1055598

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{arasu_pods04,
        address = {New York, NY, USA},
        series = {{PODS} '04},
        title = {{Approximate Counts and Quantiles over Sliding Windows}},
        url = {https://dl.acm.org/doi/10.1145/1055558.1055598},
        doi = {10.1145/1055558.1055598},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Arasu, Arvind and Manku, Gurmeet Singh},
        year = {2004}
}

Incoming Citations (Sorted by Pagerank)

Showing 32 of 32 citing papers.

Rank Citing Paper Year Venue Pagerank
772 VerdictDB: Universalizing Approximate Query Processing 2018 SIGMOD 0.0001409096
911 Finding Frequent Items in Data Streams 2008 VLDB 0.0001312057
1,286 Resource Sharing in Continuous Sliding-Window Aggregates 2004 VLDB 0.00011188038
2,028 Database Learning: Toward a Database that Becomes Smarter Every Time 2017 SIGMOD 9.1584244e-05
2,626 Optimal Sampling from Sliding Windows 2009 PODS 8.205667e-05
2,649 A Geometric Approach to Monitoring Threshold Functions Over Distributed Data Streams 2006 SIGMOD 8.1716272e-05
2,876 A Simpler and More Efficient Deterministic Scheme for Finding Frequent Items over Sliding Windows 2006 PODS 7.9156746e-05
3,082 Persistent Data Sketching 2015 SIGMOD 7.6626082e-05
3,681 Quantiles over Data Streams: An Experimental Study 2013 SIGMOD 7.1012729e-05
3,709 Space Complexity of Hierarchical Heavy Hitters in Multi-Dimensional Data Streams 2005 PODS 7.077859e-05
4,349 Diamond in the Rough: Finding Hierarchical Heavy Hitters in Multi-Dimensional Data 2004 SIGMOD 6.6437679e-05
4,377 Beyond Simple Aggregates: Indexing for Summary Queries 2011 PODS 6.6269629e-05
4,566 Relative Error Streaming Quantiles 2021 PODS 6.5286509e-05
5,048 KLL± Approximate Quantile Sketches over Dynamic Datasets 2021 VLDB 6.2971455e-05
5,120 Shape Sensitive Geometric Monitoring 2008 PODS 6.2639656e-05
5,332 Fast and Approximate Stream Mining of Quantiles and Frequencies Using Graphics Processors 2005 SIGMOD 6.1754712e-05
5,920 Time-Decaying Aggregates in Out-of-order Streams 2008 PODS 5.9454871e-05
6,191 Finding Global Icebergs over Distributed Data Sets 2006 PODS 5.8543576e-05
6,837 Matrix Sketching Over Sliding Windows 2016 SIGMOD 5.6657713e-05
7,961 Better Sliding Window Algorithms to Maximize Subadditive and Diversity Objectives 2019 PODS 5.4157905e-05
8,111 Logging Every Footstep: Quantile Summaries for the Entire History 2010 SIGMOD 5.3917406e-05
8,176 Together is Better: Heavy Hitters Quantile Estimation 2023 SIGMOD 5.3818879e-05
8,424 Optimal Approximate Matrix Multiplication over Sliding Windows 2026 VLDB 5.3324907e-05
8,773 Stream Frequency over Interval Queries 2019 VLDB 5.2803988e-05
8,783 CoopStore: Optimizing Precomputed Summaries for Aggregation 2020 VLDB 5.2776273e-05
9,138 Modeling Skew in Data Streams 2006 SIGMOD 5.2209828e-05
9,567 Optimal Matrix Sketching over Sliding Windows 2024 VLDB 5.154741e-05
10,685 Quantile Estimation with Duplicates 2026 SIGMOD 4.9769913e-05
11,276 Approximation-First Timeseries Query At Scale 2025 VLDB 4.9769913e-05
11,884 Efficient and Error-bounded Spatiotemporal Quantile Monitoring in Edge Computing Environments 2022 VLDB 4.9769913e-05
12,660 FIFO Indexes for Decomposable Problems 2011 PODS 4.9769913e-05
12,925 Variance Estimation over Sliding Windows 2007 PODS 4.9769913e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 11 of 11 cited papers.

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

Rank Cited Paper Year Venue Pagerank
13 Mining Association Rules between Sets of Items in Large Databases 1993 SIGMOD 0.00064391979
26 Models and Issues in Data Stream Systems 2002 PODS 0.00052097907
83 Space-Efficient Online Computation of Quantile Summaries 2001 SIGMOD 0.00035962466
124 Approximate Frequency Counts over Data Streams 2002 VLDB 0.00030586757
152 Query Processing, Resource Management, and Approximation in a Data Stream Management System 2003 CIDR 0.00028657752
153 New Sampling-Based Summary Statistics for Improving Approximate Query Answers 1998 SIGMOD 0.00028621958
253 Approximate Medians and other Quantiles in One Pass and with Limited Memory 1998 SIGMOD 0.00023047482
450 Random Sampling Techniques for Space Efficient Online Computation of Order Statistics of Large Datasets 1999 SIGMOD 0.00018025134
475 Sampling Large Databases for Association Rules 1996 VLDB 0.00017665769
858 What’s Hot and What’s Not: Tracking Most Frequent Items Dynamically 2003 PODS 0.00013420431
2,261 Maintaining Variance and k–Medians over Data Stream Windows 2003 PODS 8.7313225e-05
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