Time Lower Bounds for Nonadaptive Turnstile Streaming Algorithms
Larsen, Kasper Green
Nguyen, Huy L.
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CitationLarsen, Kasper Green, Jelani Nelson, and Huy L. Nguyen. 2014. "Time Lower Bounds for Nonadaptive Turnstile Streaming Algorithms." In Proceedings of the forty-seventh annual ACM symposium on Theory of computing (STOC 15), Portland, OR, June 14-17, 2015: 803-812. doi: 10.1145/2746539.2746542
AbstractWe say a turnstile streaming algorithm is "non-adaptive" if, during updates, the memory cells written and read depend only on the index being updated and random coins tossed at the beginning of the stream (and not on the memory contents of the algorithm). Memory cells read during queries may be decided upon adaptively. All known turnstile streaming algorithms in the literature are non-adaptive. We prove the first non-trivial update time lower bounds for both randomized and deterministic turnstile streaming algorithms, which hold when the algorithms are non-adaptive. While there has been abundant success in proving space lower bounds, there have been no non-trivial update time lower bounds in the turnstile model. Our lower bounds hold against classically studied problems such as heavy hitters, point query, entropy estimation, and moment estimation. In some cases of deterministic algorithms, our lower bounds nearly match known upper bounds.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:34305996
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