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Debunking Four Long-Standing Misconceptions of Time-Series Distance Measures

Published: 31 May 2020 Publication History

Abstract

Distance measures are core building blocks in time-series analysis and the subject of active research for decades. Unfortunately, the most detailed experimental study in this area is outdated (over a decade old) and, naturally, does not reflect recent progress. Importantly, this study (i) omitted multiple distance measures, including a classic measure in the time-series literature; (ii) considered only a single time-series normalization method; and (iii) reported only raw classification error rates without statistically validating the findings, resulting in or fueling four misconceptions in the time-series literature. Motivated by the aforementioned drawbacks and our curiosity to shed some light on these misconceptions, we comprehensively evaluate 71 time-series distance measures. Specifically, our study includes (i) 8 normalization methods; (ii) 52 lock-step measures; (iii) 4 sliding measures; (iv) 7 elastic measures; (v) 4 kernel functions; and (vi) 4 embedding measures. We extensively evaluate these measures across 128 time-series datasets using rigorous statistical analysis. Our findings debunk four long-standing misconceptions that significantly alter the landscape of what is known about existing distance measures. With the new foundations in place, we discuss open challenges and promising directions.

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cover image ACM Conferences
SIGMOD '20: Proceedings of the 2020 ACM SIGMOD International Conference on Management of Data
June 2020
2925 pages
ISBN:9781450367356
DOI:10.1145/3318464
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  1. distance measures
  2. elastic measures
  3. embedding measures
  4. kernel functions
  5. lock-step measures
  6. nearest-neighbor classifier
  7. sliding measures
  8. statistical analysis
  9. time series

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