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

February 13, 2023 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Itai Boneh, Shay Golan, Shay Mozes, Oren Weimann arXiv ID 2302.06252 Category cs.DS: Data Structures & Algorithms Citations 1 Venue arXiv.org Last Checked 4 months ago
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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