Towards Efficient Interactive Computation of Dynamic Time Warping Distance

Akihiro Nishi, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

抄録

The dynamic time warping (DTW) is a widely-used method that allows us to efficiently compare two time series that can vary in speed. Given two strings A and B of respective lengths m and n, there is a fundamental dynamic programming algorithm that computes the DTW distance for A and B together with an optimal alignment in time and space. In this paper, we tackle the problem of interactive computation of the DTW distance for dynamic strings, denoted, where character-wise edit operation (insertion, deletion, substitution) can be performed at an arbitrary position of the strings. Let M and N be the sizes of the run-length encoding (RLE) of A and B, respectively. We present an algorithm for that occupies space and uses time to update a compact differential representation of the DP table per edit operation, where denotes the number of cells in whose values change after the edit operation. Our method is at least as efficient as the algorithm recently proposed by Froese et al. running in time, and is faster when is smaller than which, as our preliminary experiments suggest, is likely to be the case in the majority of instances.

本文言語英語
ホスト出版物のタイトルString Processing and Information Retrieval - 27th International Symposium, SPIRE 2020, Proceedings
編集者Christina Boucher, Sharma V. Thankachan
出版社Springer Science and Business Media Deutschland GmbH
ページ27-41
ページ数15
ISBN(印刷版)9783030592110
DOI
出版ステータス出版済み - 2020
イベント27th International Symposium on String Processing and Information Retrieval, SPIRE 2020 - Orlando, 米国
継続期間: 10 13 202010 15 2020

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
12303 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

会議

会議27th International Symposium on String Processing and Information Retrieval, SPIRE 2020
国/地域米国
CityOrlando
Period10/13/2010/15/20

All Science Journal Classification (ASJC) codes

  • 理論的コンピュータサイエンス
  • コンピュータ サイエンス(全般)

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