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An Improved Order-Preserving Pattern Matching Algorithm Using Fingerprints

Author

Listed:
  • Youngjoon Kim

    (Department of Computer Engineering, Inha University, Incheon 22212, Korea
    These authors contributed equally to this work.)

  • Youngho Kim

    (Department of Computer Engineering, Inha University, Incheon 22212, Korea
    These authors contributed equally to this work.)

  • Jeong Seop Sim

    (Department of Computer Engineering, Inha University, Incheon 22212, Korea)

Abstract

Two strings of the same length are order isomorphic if their relative orders are the same. The order-preserving pattern matching problem is to find all substrings of text T that are order isomorphic to pattern P when T ( | T | = n ) and P ( | P | = m ) are given. An O ( m n + n q log q + q ! ) -time algorithm using the O ( m + q ! ) space for the order-preserving pattern matching problem has been proposed utilizing fingerprints of q -grams based on the factorial number system and the bad character heuristic. In this paper, we propose an O ( m n + 2 q ) -time algorithm using the O ( m + 2 q ) space for the order-preserving pattern matching problem, but utilizing fingerprints of q -grams converted to binary numbers. A comparative experiment using three types of time series data demonstrates that the proposed algorithm is faster than existing algorithms because it reduces the number of order isomorphism tests.

Suggested Citation

  • Youngjoon Kim & Youngho Kim & Jeong Seop Sim, 2022. "An Improved Order-Preserving Pattern Matching Algorithm Using Fingerprints," Mathematics, MDPI, vol. 10(12), pages 1-10, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:1954-:d:833032
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