Optimal bounds for approximate counting
WebMar 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
Optimal bounds for approximate counting
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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 … 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 …
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 Nelson, Jelani Yu, Huacheng Abstract Storing a counter incremented $N$ times would naively consume $O(\log N)$ bits of memory. In …
WebOct 5, 2024 · Optimal bounds for approximate counting October 2024 Authors: Jelani Nelson Huacheng Yu Abstract Storing a counter incremented $N$ times would naively … 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 …
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 ...
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. can sleep at nightWebMar 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. flapjacks clearwater floridaWebWe 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 … flap jacks chatham ontWebThe 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 … can sleep cycle work with appWebWe 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 … flapjacks comedyWebNov 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 ... can sleep christchurchWebof 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 ... can sleep deprivation be fatal