DTW calculates the similarity or alignment between two signals, subject to temporal warping. However, its computational complexity grows exponentially with the number of time-series. Although there have been algorithms developed that are linear in the number of time-series, they are generally quadratic in time-series length. The exception is generalized time warping (GTW), which has linear computational cost. Yet, it can only identify simple time warping functions. There is a need for a new fast, high-quality multisequence alignment algorithm. We introduce trainable time warping (TTW), whose complexity is linear in both the number and the length of time-series. TTW performs alignment in the continuoustime domain using a sinc convolutional kernel and a gradient-based optimization technique. We compare TTW and GTW on S5 UCR datasets in time-series averaging and classification. TTW outperforms GTW on 67.1% of the datasets for the averaging tasks, and 61.2% of the datasets for the classification tasks.
more »
« less
Stabilization of Switched Systems on Non-Uniform Time Domain with Dwell Time
- Award ID(s):
- 1711432
- PAR ID:
- 10159395
- Date Published:
- Journal Name:
- American Control Conference
- Page Range / eLocation ID:
- 4929 to 4934
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
More Like this
- Free Publicly Accessible Full Text
-
Accepted Manuscript1.0
- Conference Paper:
- https://doi.org/10.23919/ACC.2019.8814429
