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arXiv · 2302.06252

Near-Optimal Dynamic Time Warping on Run-Length Encoded Strings

Itai Boneh·Shay Golan·Shay Mozes·Oren Weimann
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Abstract

We give an $\tilde O(n^2)$ time algorithm for computing the exact Dynamic Time Warping distance between two strings whose run-length encoding is of size at most $n$. This matches (up to log factors) the known (conditional) lower bound, and should be compared with the previous fastest $O(n^3)$ time exact algorithm and the $\tilde O(n^2)$ time approximation algorithm.

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Itai Boneh, Shay Golan, Shay Mozes, Oren Weimann. 2023-02-13. Near-Optimal Dynamic Time Warping on Run-Length Encoded Strings. https://arxiv.org/abs/2302.06252

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