Relevant bibliographies by topics / Approximate counting

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  1. Journal articles

Academic literature on the topic 'Approximate counting'

Author: Grafiati
Published: 31 August 2024

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Journal articles on the topic "Approximate counting"

1

BUSS, SAMUEL R., LESZEK ALEKSANDER KOŁODZIEJCZYK, and NEIL THAPEN. "FRAGMENTS OF APPROXIMATE COUNTING." Journal of Symbolic Logic 79, no. 2 (2014): 496–525. http://dx.doi.org/10.1017/jsl.2013.37.

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AbstractWe study the long-standing open problem of giving $\forall {\rm{\Sigma }}_1^b$ separations for fragments of bounded arithmetic in the relativized setting. Rather than considering the usual fragments defined by the amount of induction they allow, we study Jeřábek’s theories for approximate counting and their subtheories. We show that the $\forall {\rm{\Sigma }}_1^b$ Herbrandized ordering principle is unprovable in a fragment of bounded arithmetic that includes the injective weak pigeonhole principle for polynomial time functions, and also in a fragment that includes the surjective weak
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2

Aronov, Boris, and Micha Sharir. "Approximate Halfspace Range Counting." SIAM Journal on Computing 39, no. 7 (2010): 2704–25. http://dx.doi.org/10.1137/080736600.

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3

Louchard, Guy, and Helmut Prodinger. "Generalized approximate counting revisited." Theoretical Computer Science 391, no. 1-2 (2008): 109–25. http://dx.doi.org/10.1016/j.tcs.2007.10.035.

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4

Jeřábek, Emil. "Approximate counting in bounded arithmetic." Journal of Symbolic Logic 72, no. 3 (2007): 959–93. http://dx.doi.org/10.2178/jsl/1191333850.

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AbstractWe develop approximate counting of sets definable by Boolean circuits in bounded arithmetic using the dual weak pigeonhole principle (dWPHP(PV)), as a generalization of results from [15]. We discuss applications to formalization of randomized complexity classes (such as BPP, APP, MA, AM) in PV1 + dWPHP(PV).
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5

Cichoń, Jacek, and Karol Gotfryd. "Average Counting via Approximate Histograms." ACM Transactions on Sensor Networks 14, no. 2 (2018): 1–32. http://dx.doi.org/10.1145/3177922.

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6

Kirschenhofer, Peter, and Helmut Prodinger. "Approximate counting : an alternative approach." RAIRO - Theoretical Informatics and Applications 25, no. 1 (1991): 43–48. http://dx.doi.org/10.1051/ita/1991250100431.

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7

BORDEWICH, M., M. FREEDMAN, L. LOVÁSZ, and D. WELSH. "Approximate Counting and Quantum Computation." Combinatorics, Probability and Computing 14, no. 5-6 (2005): 737. http://dx.doi.org/10.1017/s0963548305007005.

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8

Flajolet, Philippe. "Approximate counting: A detailed analysis." BIT 25, no. 1 (1985): 113–34. http://dx.doi.org/10.1007/bf01934993.

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9

Erdős, Péter L., Sándor Z. Kiss, István Miklós, and Lajos Soukup. "Approximate Counting of Graphical Realizations." PLOS ONE 10, no. 7 (2015): e0131300. http://dx.doi.org/10.1371/journal.pone.0131300.

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10

Aldous, David. "Approximate Counting via Markov Chains." Statistical Science 8, no. 1 (1993): 16–19. http://dx.doi.org/10.1214/ss/1177011078.

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