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Streaming Space Complexity of Nearly All Functions of One Variable on Frequency Vectors

Summary: Near-complete characterization: Σ_i g(|f_i|) admits sublinear (polylog/subpoly) streaming approximation iff g meets a simple analytic condition, up to a narrow pathological class. Covers convex/concave/monotone, polynomial, trigonometric and—first for nonmonotone—g, resolving AMS'96 for almost all one-variable functions. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
1676
Venue
PODS
Year
2016
Pagerank
5.214913e-05
Overall Rank
9,821 | 32.62%
DOI
10.1145/2902251.2902282

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{braverman_pods16,
        address = {New York, NY, USA},
        series = {{PODS} '16},
        title = {{Streaming Space Complexity of Nearly All Functions of One Variable on Frequency Vectors}},
        url = {https://dl.acm.org/doi/10.1145/2902251.2902282},
        doi = {10.1145/2902251.2902282},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Braverman, Vladimir and Chestnut, Stephen R. and Woodruff, David P. and Yang, Lin F.},
        year = {2016}
}

Incoming Citations (Sorted by Pagerank)

Showing 1 of 1 citing papers.

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10,865 Approximation-First Timeseries Query At Scale 2025 VLDB 5.093636e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 1 of 1 cited papers.

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

Rank Cited Paper Year Venue Pagerank
1,257 Automatic Optimization for MapReduce Programs 2011 VLDB 0.000114432
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