Optimal bounds for approximate counting
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]. WebQuantum Lower Bounds for Approximate Counting via Laurent Polynomials Scott Aaronsony Robin Kothariz William Kretschmerx Justin Thaler{Abstract We study quantum algorithms that ar
Optimal bounds for approximate counting
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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. 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 …
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 … 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 …
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 … 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 …
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 ...
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 … how can i check my car\u0027s maintenance historyWebimate 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 can i check my car registration in punjabWebof 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 ... how can i check my criminal record in nyWebApproximate 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, … how can i check my car mileageWebOptimal 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 can i check my cnic sehat cardWebWe 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 can i check my cervixWebOptimal Bounds for Approximate Counting ... asymptotic space complexity of approximate counting. Furthermore all our constants are explicit, and our lower bound and tightest … how can i check my cis registration