Optimal bounds for approximate counting

Author: kcmn

August undefined, 2024

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

NeurIPS

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 … 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. phone number att store middletown ct

[2010.02116] Optimal bounds for approximate counting

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. 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. WebNov 9, 2024 · Analyze gauss: optimal bounds for privacy-preserving principal component analysis. Jan 2014; 11-20; ... It allows one to estimate the count of any item in a stream using a small, fixed size data ... phone number audible

Optimal Bounds for Approximate Counting — Princeton University

Optimal bounds for approximate counting - NASA/ADS

WebIt 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. 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 … phone number attWebIf 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 ). how do you pronounce gemini

"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]. " - Optimal bounds for approximate counting

Optimal bounds for approximate counting

Webdl.acm.org 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 …

Did you know?

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 ... 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 …

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 …

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 … 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...

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 … phone number attendance allowanceWebOptimal Bounds for Approximate Counting ... asymptotic space complexity of approximate counting. Furthermore all our constants are explicit, and our lower bound and tightest … phone number attorney generalWebOct 5, 2024 · task dataset model metric name metric value global rank remove phone number austinWebQuantum 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 " phone number att email supportWebWe 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. how do you pronounce genealogyWebWe 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. phone number austin texasWebimate 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- how do you pronounce genesee