What is the distance metric in dynamic time warping?

1. What is distance in dynamic time warping?
2. Is dynamic time warping a metric?
3. What does DTW distance mean?
4. Is the DTW distance a metric?

What is distance in dynamic time warping?

Dynamic Time Warping is used to compare the similarity or calculate the distance between two arrays or time series with different length. How to do that? One obvious way is to match up a and b in 1-to-1 fashion and sum up the total distance of each component.

Is dynamic time warping a metric?

First, you say "dynamic time warping metric", however DTW is a distance measure, but not a metric (it does not obey the triangular inequality). Paper [a] compares DTW to 12 alternatives on 43 datasets, DTW really does work very well for most problems.

What does DTW distance mean?

In time series analysis, dynamic time warping (DTW) is an algorithm for measuring similarity between two temporal sequences, which may vary in speed.

Is the DTW distance a metric?

The dtw-distance is not a metric. Consequently, dtw-spaces are mathematically less structured than metric spaces.