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Bit-Parallel Wavelet Tree Construction (Abstract)

Published: 26 July 2024 Publication History

Abstract

We present the fastest practical construction algorithms for Huffman-shaped wavelet trees, closing the gap between theory and practice by utilizing SIMD instructions.

References

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M. Ceregini, F. Kurpicz, and R. Venturini. 2024. Faster Wavelet Tree Queries. In DCC. IEEE, 223--232. https://doi.org/10.1109/DCC58796.2024.00030
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F. Claude, G. Navarro, and A. O. Pereira. 2015. The Wavelet Matrix: An Efficient Wavelet Tree for Large Alphabets. Inf. Syst., Vol. 47 (2015), 15--32. https://doi.org/10.1016/j.is.2014.06.002
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P. Dinklage, J. Ellert, J. Fischer, F. Kurpicz, and M. Löbel. 2021. Practical Wavelet Tree Construction. ACM J. Exp. Algorithmics, Vol. 26 (2021), 1.8:1--1.8:67. https://doi.org/10.1145/3457197
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P. Dinklage, J. Fischer, F. Kurpicz, and J.-P. Tarnowski. 2023. Bit-Parallel (Compressed) Wavelet Tree Construction. In DCC. IEEE, 81--90. https://doi.org/10.1109/DCC55655.2023.00016
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P. Ferragina, G. Manzini, V. Mäkinen, and G. Navarro. 2007. Compressed representations of sequences and full-text indexes. ACM Trans. Algorithms, Vol. 3, 2 (2007), 20. https://doi.org/10.1145/1240233.1240243
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F. Kurpicz. 2022. Engineering Compact Data Structures for Rank and Select Queries on Bit Vectors. In SPIRE (Lecture Notes in Computer Science, Vol. 13617). Springer, 257--272. https://doi.org/10.1007/978--3-031--20643--6_19
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J. Labeit, J. Shun, and G. E. Blelloch. 2017. Parallel lightweight wavelet tree, suffix array and FM-index construction. J. Discrete Algorithms, Vol. 43 (2017), 2--17. https://doi.org/10.1016/j.jda.2017.04.001
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J. Shun. 2020. Improved parallel construction of wavelet trees and rank/select structures. Inf. Comput., Vol. 273 (2020), 104516. https://doi.org/10.1016/j.ic.2020.104516
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Kaneta Y. 2018. Fast Wavelet Tree Construction in Practice. In SPIRE (Lecture Notes in Computer Science, Vol. 11147). Springer, 218--232. https://doi.org/10.1007/978--3-030-00479--8_18

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cover image ACM Conferences
HOPC'24: Proceedings of the 2024 ACM Workshop on Highlights of Parallel Computing
June 2024
47 pages
ISBN:9798400707001
DOI:10.1145/3670684
Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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Publication History

Published: 26 July 2024

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Author Tags

  1. compressed data structure
  2. rank and select
  3. simd
  4. wavelet tree

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