Optimal bounds for approximate counting

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August undefined, 2024

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]. 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 …

Lower Bounds for Pseudo-Deterministic Counting in a Stream

WebOct 3, 2007 · An important building block for this, which may be interesting in its own right, is a new approximate variant of reservoir sampling using space O (log log n) for constant error parameters. Download to read the full article text References Alon, N., Matias, Y., Szegedy, M.: The space complexity of approximating the frequency moments. J. Comput. WebOct 5, 2024 · Optimal bounds for approximate counting October 2024 Authors: Jelani Nelson Huacheng Yu Abstract Storing a counter incremented $N$ times would naively … pho westheimer

Quantum Approximate Counting, Simplified - The Society for …

WebAn MECS (multiple energy carrier system) could meet diverse energy needs owing to the integration of different energy carriers, while the distinction of quality of different energy resources should be taken into account during the operation stage, in addition the economic principle. Hence, in this paper, the concept of exergy is adopted to evaluate each energy … WebOct 5, 2024 · task dataset model metric name metric value global rank remove WebOptimal Bounds for Approximate Counting ... asymptotic space complexity of approximate counting. Furthermore all our constants are explicit, and our lower bound and tightest … pho westlake ohio

Tight Space Lower Bound for Pseudo-Deterministic Approximate Counting

Optimal bounds for approximate counting DeepAI

WebQuantum Approximate Counting, Simpli ed Scott Aaronson Patrick Rally Abstract In 1998, Brassard, H˝yer, Mosca, and Tapp (BHMT) gave a ... optimal O 1 " q N K , while the computational complex- ... probability by using ampli cation and Cherno bounds. However, amplifying na vely produces additional factors of log(1 " WebUsing Morris' algorithm, the counter represents an "order of magnitude estimate" of the actual count. The approximation is mathematically unbiased. To increment the counter, a … pho westportWebTheory 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. how do you clean copper fittings

"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 … " - Optimal bounds for approximate counting

Optimal bounds for approximate counting

davidb2/morris-counter: Approximate counting with low space usage - Github

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, … WebThis 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 ...

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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 …

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 … 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 Huacheng Yuy October 5, 2024 Abstract Storing a counter incremented Ntimes would naively consume O(logN) bits of … 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.

WebOptimal Bounds for Approximate Counting. Jelani Nelson, Huacheng Yu. Computer Science; ... We thus completely resolve the asymptotic space complexity of approximate counting. Furthermore all our constants are explicit, and our lower bound and tightest upper bound differ by a multiplicative factor of at most 3+o(1). ... approximate counting ...

WebOptimal Bounds for Approximate Counting. In Proceedings of the 41st ACM SIGMOD-SIGACT-SIGAI Sympo- … how do you clean combs and brushesWebJun 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 … how do you clean cloth diapersWebQuantum Lower Bounds for Approximate Counting via Laurent Polynomials Scott Aaronsony Robin Kothariz William Kretschmerx Justin Thaler{Abstract We study quantum algorithms that ar pho weston wiWebMar 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. pho westlake daly cityWebAug 24, 2014 · Streamed approximate counting of distinct elements: beating optimal batch methods ... the number of distinct elements in a streaming setting New streaming algorithms are given that provably beat the "optimal" errors for Min-count and HyperLogLog while using the same sketch. ... estimators and show the new estimators are optimal for … how do you clean computer filesWebWe 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. how do you clean coffee makersWebdl.acm.org pho weston menu