Optimal bounds for approximate counting
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 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.
Optimal bounds for approximate counting
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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 … 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 …
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 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 …
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 ... 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 …
WebOct 5, 2024 · Optimal bounds for approximate counting October 2024 Authors: Jelani Nelson Huacheng Yu Abstract Storing a counter incremented $N$ times would naively …
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]. pool fresh 50lb chlorine jumbo tabsWebOptimal 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 ... share a load globe to globeWebIt 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. shareal starrWebIf 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 ). share a load in globeWebOptimal 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 … share a load promo for globeWebMar 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. pool fresh incWebWe 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. share a load globe 2022