2 Search Results for "Wormald, Nick"

Document
DOI: 10.4230/LIPIcs.SEA.2023.5
Engineering Shared-Memory Parallel Shuffling to Generate Random Permutations In-Place

Authors: Manuel Penschuck

Published in: LIPIcs, Volume 265, 21st International Symposium on Experimental Algorithms (SEA 2023)

Abstract
Shuffling is the process of placing elements into a random order such that any permutation occurs with equal probability. It is an important building block in virtually all scientific areas. We engineer, - to the best of our knowledge - for the first time, a practically fast, parallel shuffling algorithm with O(√n log n) parallel depth that requires only poly-logarithmic auxiliary memory (with high probability). In an empirical evaluation, we compare our implementations with a number of existing solutions on various computer architectures. Our algorithms consistently achieve the highest through-put on all machines. Further, we demonstrate that the runtime of our parallel algorithm is comparable to the time that other algorithms may take to acquire the memory from the operating system to copy the input.
Cite as

Manuel Penschuck. Engineering Shared-Memory Parallel Shuffling to Generate Random Permutations In-Place. In 21st International Symposium on Experimental Algorithms (SEA 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 265, pp. 5:1-5:20, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2023)

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@InProceedings{penschuck:LIPIcs.SEA.2023.5,
  author =	{Penschuck, Manuel},
  title =	{{Engineering Shared-Memory Parallel Shuffling to Generate Random Permutations In-Place}},
  booktitle =	{21st International Symposium on Experimental Algorithms (SEA 2023)},
  pages =	{5:1--5:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-279-2},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{265},
  editor =	{Georgiadis, Loukas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SEA.2023.5},
  URN =		{urn:nbn:de:0030-drops-183550},
  doi =		{10.4230/LIPIcs.SEA.2023.5},
  annote =	{Keywords: Shuffling, random permutation, parallelism, in-place, algorithm engineering, practical implementation}
}
Document
DOI: 10.4230/LIPIcs.APPROX-RANDOM.2014.857
It’s a Small World for Random Surfers

Authors: Abbas Mehrabian and Nick Wormald

Published in: LIPIcs, Volume 28, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2014)

Abstract
We prove logarithmic upper bounds for the diameters of the random-surfer Webgraph model and the PageRank-based selection Webgraph model, confirming the small-world phenomenon holds for them. In the special case when the generated graph is a tree, we get close lower and upper bounds for the diameters of both models.
Cite as

Abbas Mehrabian and Nick Wormald. It’s a Small World for Random Surfers. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 28, pp. 857-871, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2014)

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@InProceedings{mehrabian_et_al:LIPIcs.APPROX-RANDOM.2014.857,
  author =	{Mehrabian, Abbas and Wormald, Nick},
  title =	{{It’s a Small World for Random Surfers}},
  booktitle =	{Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2014)},
  pages =	{857--871},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-74-3},
  ISSN =	{1868-8969},
  year =	{2014},
  volume =	{28},
  editor =	{Jansen, Klaus and Rolim, Jos\'{e} and Devanur, Nikhil R. and Moore, Cristopher},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX-RANDOM.2014.857},
  URN =		{urn:nbn:de:0030-drops-47437},
  doi =		{10.4230/LIPIcs.APPROX-RANDOM.2014.857},
  annote =	{Keywords: random-surfer webgraph model, PageRank-based selection model, smallworld phenomenon, height of random trees, probabilistic analysis, large deviations}
}
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