Optimal bounds for approximate counting
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. WebJan 13, 2024 · Code for the paper "Optimal bounds for approximate counting" by Jelani Nelson, Huacheng Yu. Algorithms: Morris(a) Counter - ️; Morris+ Counter - 🕒; About. Approximate counting with low space usage Resources. Readme Stars. 0 stars Watchers. 1 watching Forks. 2 forks Releases No releases published.
Optimal bounds for approximate counting
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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]. WebOptimal Bounds for Approximate Counting Jelani Nelson* Huacheng Yu† March 30, 2024 Abstract Storing a counter incremented Ntimes would naively consume O(logN) bits of …
WebOptimal Bounds for Approximate Counting. manuscript. · Huacheng Yu. Tight Distributed Sketching Lower Bound for Connectivity. In the ACM-SIAM Symposium on Discrete …
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. Webof deterministic approximate counting algorithms in Weitz’s work [31], strong spatial mixing was already a widely studied notion in computer science and mathematical physics for its utility in analyzing the mixing time of Markov chains [10,18,19], and hence an improved understanding of conditions under which it holds is of interest in its own ...
WebThe pseudo-deterministic complexity of the problem is investigated and a tight $\\Omega(\\log N)$ lower bound is proved, thus resolving the problem of Goldwasser-Grossman-Mohanty-Woodruff. We investigate one of the most basic problems in streaming algorithms: approximating the number of elements in the stream. In 1978, Morris …
WebApproximate time-optimal model predictive control of a SCARA robot: a case study Bence Cseppentő 1,2 , Jan Swevers 1 , Zsolt Kollár 2 1 KU Leuven, Department of Mechanical Engineering DMMS-M Core Laboratory, Flanders Make Leuven, Belgium; Email: [email protected] 2 Budapest University of Technology and Economics, … circulating dry scrubberWebJun 12, 2024 · In a bit more detail, we can use approximate counting to probabilistically estimate the counter up to a small constant factor with probability at least 1 − δ in space … circulating cytokinesWebUsing Morris' algorithm, the counter represents an "order of magnitude estimate" of the actual count. The approximation is mathematically unbiased. To increment the counter, a … diamond head distributors hawaiiWebfree 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 … circulating diseaseWebOptimal Bounds for Approximate Counting. In Proceedings of the 41st ACM SIGMOD-SIGACT-SIGAI Sympo- … diamond head distributionWebOct 5, 2024 · Optimal bounds for approximate counting 10/05/2024 ∙ by Jelani Nelson, et al. ∙ 0 ∙ share Storing a counter incremented N times would naively consume O (log N) bits of … circulating dryerWebThis is optimal, matching the straightforward protocols where the witness is either empty, or speci es all the elements of S. ... We demonstrate the power of these lower bound techniques by proving optimal lower bounds for the approximate counting problem, which captures the following task. Given a nonempty nite set S [N] := f1;:::;Ng, estimate ... diamond head door squamish