Optimal bounds for approximate counting

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August undefined, 2024

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 … WebTheory 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.

[2010.02116] 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. 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... greencore twitter

Tight Quantum Lower Bound for Approximate Counting with

WebOptimal Bounds for Approximate Counting. manuscript. · Huacheng Yu. Tight Distributed Sketching Lower Bound for Connectivity. In the ACM-SIAM Symposium on Discrete … 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 " 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 ... flowtron stocking

Optimal Bounds for Approximate Counting — Princeton University

Quantum Lower Bounds for Approximate Counting via Laurent …

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 … WebJun 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 … flow tsWebIt is known that the Brassard-Høyer-Tapp algorithm for approximate quantum counting is asymptotically optimal . This was proved using the polynomial method [ 2 ] . However, the polynomial method is not immediately amenable to the parallel setting, where no lower bound has been published. greencore uk centre address

"WebDec 12, 2012 · Optimal Time Bounds for Approximate Clustering. Clustering is a fundamental problem in unsupervised learning, and has been studied widely both as a … " - Optimal bounds for approximate counting

Optimal bounds for approximate counting

WebJun 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 … WebAug 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 …

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WebOptimal Bounds for Approximate Counting. In Proceedings of the 41st ACM SIGMOD-SIGACT-SIGAI Sympo- … Webdl.acm.org

WebQuantum Lower Bounds for Approximate Counting via Laurent Polynomials Scott Aaronsony Robin Kothariz William Kretschmerx Justin Thaler{Abstract We study quantum algorithms that ar 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

WebIf the counter holds the value of 101, which equates to an exponent of 5 (the decimal equivalent of 101), then the estimated count is 2^5, or 32. There is a fairly low probability that the actual count of increment events was 5 ( 1 1024 = 1 × 1 2 × 1 4 × 1 8 × 1 16 ). WebWe 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.

WebOct 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 …

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 … flowtrons dvtWebJan 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. flow try catchWebOct 5, 2024 · Optimal bounds for approximate counting October 2024 Authors: Jelani Nelson Huacheng Yu Abstract Storing a counter incremented $N$ times would naively … flow t shirtWebMar 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 flow trucksWebUsing Morris' algorithm, the counter represents an "order of magnitude estimate" of the actual count. The approximation is mathematically unbiased. To increment the counter, a … greencore ukcWebfree 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 … flow tsxWebimate 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- greencore unit k