Lower Bounds for Sparse Oblivious Subspace Embeddings
Summary: Proves tight lower bounds for sparse oblivious subspace embeddings: any OSE with one nonzero per column requires m = Ω(d^2/(ε^2 δ)), implying Count-Sketch is optimal. For 1/(9ε) nonzeros/column they show m = Ω(ε^{O(δ)} d^2), improving prior Ω(ε^2 d^2). (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
No non-self incoming citations found for this paper in this database.
Authors
- 1. Yi Li
- 2. Mingmou Liu
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 3 of 3 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 139 | The MADlib Analytics Library or MAD Skills, the SQL | 2012 | VLDB | 0.00042320525 |
| 832 | Learning Linear Regression Models over Factorized Joins | 2016 | SIGMOD | 0.00016089705 |
| 6,916 | Private Incremental Regression | 2017 | PODS | 4.8878659e-05 |
Previous
Page 1 / 1
Next
Semantically Similar Papers
| Overall Rank | Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 11,171 | Weighted Minwise Hashing Beats Linear Sketching for Inner Product Estimation | 2023 | PODS | 4.1905499e-05 |
| 922 | Graph Sketches: Sparsification, Spanners, and Subgraphs | 2012 | PODS | 0.00015254436 |
| 11,165 | Towards Better Bounds for Finding Quasi-Identifiers * | 2023 | PODS | 4.1905499e-05 |
| 2,755 | Towards Tight Bounds for the Streaming Set Cover Problem | 2016 | PODS | 8.1694565e-05 |
| 13,217 | High Dimensional Differentially Private Stochastic Optimization with Heavy-tailed Data | 2022 | PODS | - |
| 7,503 | Space Lower Bounds for Itemset Frequency Sketches | 2016 | PODS | 4.7135369e-05 |
| 9,217 | Optimal Matrix Sketching over Sliding Windows | 2024 | VLDB | 4.3674946e-05 |
| 7,952 | Efficient Matrix Sketching over Distributed Data | 2017 | PODS | 4.6089395e-05 |
| 6,089 | Active Sampling Count Sketch (ASCS) for Online Sparse Estimation of a Trillion Scale Covariance Matrix | 2021 | SIGMOD | 5.2145151e-05 |
| 7,495 | Subspace Exploration: Bounds on Projected Frequency Estimation | 2021 | PODS | 4.7135369e-05 |