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)
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Authors
- 1. Yi Li
- 2. Mingmou Liu
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| Rank | Cited Paper | Year | Venue | Pagerank |
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| 140 | The MADlib Analytics Library or MAD Skills, the SQL | 2012 | VLDB | 0.00042270404 |
| 834 | Learning Linear Regression Models over Factorized Joins | 2016 | SIGMOD | 0.00016135159 |
| 6,914 | Private Incremental Regression | 2017 | PODS | 4.8925595e-05 |
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