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 ... 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 Proceedings …
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. 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. simon says directions for kids
Lower Bounds for Parallel Quantum Counting – arXiv Vanity
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 ... 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- WebQuantum Lower Bounds for Approximate Counting via Laurent Polynomials Scott Aaronsony Robin Kothariz William Kretschmerx Justin Thaler{Abstract We study quantum algorithms that ar simon says drawing instructions