MCDMTime-series distance

Dynamic Time Warping

Dynamic Time Warping is a distance metric for comparing time series or sequential data that may vary in length or speed. Introduced by Hideki Sakoe and Seibi Chiba in 1978 for speech recognition, DTW measures the minimal cumulative distance needed to align two sequences using dynamic programming. Unlike fixed-distance metrics, DTW allows flexible time warping, making it ideal for sequences that are similar in shape but offset or scaled differently in time.

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Sources

  1. Sakoe, H., & Chiba, S. (1978). Dynamic programming algorithm optimization for spoken word recognition. IEEE Transactions on Acoustics, Speech, and Signal Processing, 26(1), 43-49. DOI: 10.1109/TASSP.1978.1163055
  2. Salvador, S., & Chan, P. (2007). FastDTW: Toward accurate dynamic time warping in linear time and space. KDD Explorations, 5(1), 70-86. link

Related methods

Referenced by

ScholarGateDynamic Time Warping (Dynamic Time Warping Distance). Retrieved 2026-06-04 from https://scholargate.app/tr/decision-making/dynamic-time-warping