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PLA-index: A k-mer Index Exploiting Rank Curve Linearity

Authors Md. Hasin Abrar , Paul Medvedev

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Author Details

Md. Hasin Abrar
  • Department of Computer Science and Engineering, The Pennsylvania State University, University Park, PA, USA
Paul Medvedev
  • Department of Computer Science and Engineering, The Pennsylvania State University, University Park, PA, USA
  • Department of Biochemistry and Molecular Biology, The Pennsylvania State University, University Park, PA, USA
  • Huck Institutes of the Life Sciences, The Pennsylvania State University, University Park, PA, USA

Funding

This material is based upon work supported by the National Science Foundation under Grants No. DBI2138585 and 1931531. Research reported in this publication was supported by the National Institute Of General Medical Sciences of the National Institutes of Health under Award Number R01GM146462. The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Institutes of Health.

Acknowledgements

We thank Kristoffer Sahlin and Marcel Martin for their help in identifying the Strobealign application and helping guide its implementation. We also thank Francesca Chiaromonte, Marzia Cremona, Jacopo Di Iorio, and Giorgio Vinciguerra for helpful discussions.

Cite As Get BibTex

Md. Hasin Abrar and Paul Medvedev. PLA-index: A k-mer Index Exploiting Rank Curve Linearity. In 24th International Workshop on Algorithms in Bioinformatics (WABI 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 312, pp. 13:1-13:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024) https://doi.org/10.4230/LIPIcs.WABI.2024.13

Abstract

Given a sorted list of k-mers S, the rank curve of S is the function mapping a k-mer from the k-mer universe to the location in S where it either first appears or would be inserted. An exciting recent development is the observation that, for certain datasets, the rank curve is predictable and can be exploited to create small search indices. In this paper, we develop a novel search index that first estimates a k-mer’s rank using a piece-wise linear approximation of the rank curve and then does a local search to determine the precise location of the k-mer in the list. We combine ideas from previous approaches and supplement them with an innovative data representation strategy that substantially reduces space usage. Our PLA-index uses an order of magnitude less space than Sapling and uses less than half the space of the PGM-index, for roughly the same query time. For example, using only 9 MiB of memory, it can narrow down the position of k-mer in the suffix array of the human genome to within 255 positions. Furthermore, we demonstrate the potential of our approach to impact a variety of downstream applications. First, the PLA-index halves the time of binary search on the suffix array of the human genome. Second, the PLA-index reduces the space of a direct-access lookup table by 76 percent, without increasing the run time. Third, we plug the PLA-index into a state-of-the-art read aligner Strobealign and replace a 2 GiB component with a PLA-index of size 1.5 MiB, without significantly effecting runtime. The software and reproducibility information is freely available at https://github.com/medvedevgroup/pla-index.

Subject Classification

ACM Subject Classification
  • Applied computing → Bioinformatics
  • Applied computing → Computational biology
  • Theory of computation → Data structures design and analysis
Keywords
  • K-mer index
  • Piece-wise linear approximation
  • Learned index

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Related Versions

  • An earlier version of these results appeared as part of a preprint [Md. Hasin Abrar and Paul Medvedev, 2024]. This paper contains significant improvements relative to the preprint. The preprint also contains other results that are not included in this paper, which are mostly related to the broader study of PLA-complexity.
  • Related preprint https://doi.org/10.1101/2024.02.08.579510

Supplementary Materials

References

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