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beckyperriment authored Dec 5, 2023
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---
title: 'DTW-C++: A C++ software for fast Dynamic Time Wrapping Clustering'
tags:
- lead-acid batteries
- degradation
- solar house systems
- C++
authors:
- name: Volkan Kumtepeli
Expand Down Expand Up @@ -62,9 +59,7 @@ The DTW distance is the sum of the Euclidean distance between each point and its
$y_1$ (monotonicity).
3. Each point is mapped to at least one other point, i.e., there are no jumps in time (continuity).

![signals_warped](https://github.com/Battery-Intelligence-Lab/dtw-cpp/assets/93582518/8fcdc644-5d6d-4c57-8fca-2edd2e9fd735)

![warping_path](https://github.com/Battery-Intelligence-Lab/dtw-cpp/assets/93582518/8450b8f3-080c-4928-b623-3a33810fc261)
![Two time series with DTW pairwise alignment between each element, showing one-to-many mapping properties of DTW (\emph{left}). Cost matrix $C$ for the two time series, showing the warping path and final DTW cost at $C_{13,12}$ (\emph{right}).](../media/Merged_document.png)

\begin{figure}
\centering
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