Tight Lower Bounds for l2 Sampling
Summary: Proves an Ω(log² n) sketching-dimension lower bound for ℓ₂-sampling, separating p=2 from 0<p<2 and matching the best upper bound. Establishes Ω(ε⁻²log n) for probability estimation and extends optimality to integer turnstile streams. (summarized by gpt-5.6-luna on Jul 26 2026)
Incoming Non-self Citations Over Time
No non-self incoming citations found for this paper in this database.
Authors
- 1. William Swartworth (Carnegie Mellon University)
- 2. David P. Woodruff (Carnegie Mellon University)
BibTeX Citation
@inproceedings{swartworth_pods26,
address = {New York, NY, USA},
series = {{PODS} '26},
title = {{Tight Lower Bounds for l2 Sampling}},
url = {https://dl.acm.org/doi/10.1145/3801915},
doi = {10.1145/3801915},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Swartworth, William and Woodruff, David P.},
year = {2026}
}
Incoming Citations (Sorted by Pagerank)
Showing 0 of 0 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|
Previous
Page 1 / 1
Next
Outgoing Citations (Sorted by Pagerank)
Showing 2 of 2 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 777 | Tight Bounds for Lp Samplers, Finding Duplicates in Streams, and Related Problems | 2011 | PODS | 0.0001410593 |
| 10,646 | Perfect Sampling in Turnstile Streams Beyond Small Moments | 2025 | PODS | 5.093636e-05 |
Previous
Page 1 / 1
Next
Semantically Similar Papers
| # | Overall Rank | Paper | Year | Venue |
|---|---|---|---|---|
| 1 | 2,443 | Independent Range Sampling | 2014 | PODS |
| 2 | 2,697 | Sketching Probabilistic Data Streams | 2007 | SIGMOD |
| 3 | 10,162 | On Sketching Trimmed Statistics | 2026 | PODS |
| 4 | 4,472 | Relative Error Streaming Quantiles | 2021 | PODS |
| 5 | 11,368 | Towards Better Bounds for Finding Quasi-Identifiers * | 2023 | PODS |
| 6 | 8,666 | Efficient framework for operating on data sketches | 2023 | VLDB |
| 7 | 10,171 | Unbiased Insights: Optimal Streaming Algorithms for l_p Sampling, the Forget Model, and Beyond | 2026 | PODS |
| 8 | 11,519 | Truly Perfect Samplers for Data Streams and Sliding Windows | 2022 | PODS |
| 9 | 10,646 | Perfect Sampling in Turnstile Streams Beyond Small Moments | 2025 | PODS |
| 10 | 777 | Tight Bounds for Lp Samplers, Finding Duplicates in Streams, and Related Problems | 2011 | PODS |