Optimal bounds for approximate counting
WebOptimal Bounds for Approximate Counting. manuscript. · Huacheng Yu. Tight Distributed Sketching Lower Bound for Connectivity. In the ACM-SIAM Symposium on Discrete … WebFeb 17, 2024 · Tight Quantum Lower Bound for Approximate Counting with Quantum States February 2024 Authors: Aleksandrs Belovs Ansis Rosmanis National University of Singapore Preprints and early-stage...
Optimal bounds for approximate counting
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WebMar 29, 2024 · A common drawback of these randomized approximate algorithms is that independent executions on the same input have different outputs, that depend on their random coins. Pseudo-deterministic algorithms combat this issue, and for every input, they output with high probability the same ``canonical'' solution. Webfree approximate counting algorithm and its analysis and then in Section 3 we generalize it to amplitude estimation. We conclude in Section 4 with some open problems. 1.1 Main …
WebOptimal bounds for approximate counting Nelson, Jelani Yu, Huacheng Abstract Storing a counter incremented $N$ times would naively consume $O(\log N)$ bits of memory. In 1978 Morris described the very first streaming algorithm: the "Morris Counter" [Morris78]. WebMar 9, 2024 · Those lower bounds for exact counting are complemented with new algorithms for approximate counting of subgraphs and induced subgraphs in degenerate graphs. Comments: 44 pages, 3 figures
WebWe then provide a new analysis showing that the original Morris Counter itself, after a minor but necessary tweak, actually also enjoys this same improved upper bound. Lastly, we prove a new lower bound for this task showing optimality of our upper bound. We thus completely resolve the asymptotic space complexity of approximate counting.
Webimate range counting has focused on (nonorthogonal) halfspace range queries. Since approximate counting is at least as di cult as deciding emptiness, the ultimate goal is to get bounds matching those of emptiness. For example, for approximate 3-D halfspace range counting, Afshani et al. [2, 3] (improving earlier results [6, 24]) ob-
WebOptimal Bounds for Approximate Counting Jelani Nelson [email protected] UC Berkeley Berkeley, California, USA Huacheng Yu [email protected] Princeton Princeton, New Jersey, USA ABSTRACT Storing a counter incremented times would naively consume (log )bits of memory. In 1978 Morris described the very first how is loratadine metabolizedWebJun 13, 2024 · Lastly, we prove a new lower bound for this task showing optimality of our upper bound. We thus completely resolve the asymptotic space complexity of … highlands at northshore hoaWebOptimal Bounds for Approximate Counting. In Proceedings of the 41st ACM SIGMOD-SIGACT-SIGAI Sympo- … highlands at piper townhomesWebTheory and Approximate Solvers for Branched Optimal Transport with Multiple Sources. ... You Can’t Count on Luck: Why Decision Transformers and RvS Fail in Stochastic Environments ... Lower Bounds and Nearly Optimal Algorithms in Distributed Learning with Communication Compression. highlands at pittsford rehabWebWe then provide a more technical analysis showing that the original Morris Counter itself, after a minor but necessary tweak, actually also enjoys this same improved upper bound. Lastly, we prove a new lower bound for this task showing optimality of our upper bound. We thus completely resolve the asymptotic space complexity of approximate counting. highlands at piney creekWebOptimal bounds for approximate counting Jelani Nelson Huacheng Yuy October 5, 2024 Abstract Storing a counter incremented Ntimes would naively consume O(logN) bits of … how is loss of data prevented in avimarkWebQuantum Lower Bounds for Approximate Counting via Laurent Polynomials Scott Aaronsony Robin Kothariz William Kretschmerx Justin Thaler{Abstract We study quantum algorithms that ar how is los angeles weather