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arXiv 1606.01601cs.CV
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shapeDTW:形状动态时间扭曲

shapeDTW: shape Dynamic Time Warping

University of Southern California(南加州大学)

Jiaping Zhao, Laurent Itti

摘要:

动态时间规整(DTW)算法是一种针对可能存在局部非线性失真的时间序列进行对齐的算法,已广泛应用于音频、视频和图形数据的对齐。DTW本质上是一种在边界和时间一致性约束下的点到点匹配方法。虽然DTW获得了全局最优解,但它不一定能实现局部合理匹配。具体地,具有完全不同的局部结构的两个时间点可以由DTW匹配。为了解决这个问题,我们提出了一种改进的对齐算法,形状动态时间规整(shapeDTW),它通过考虑逐点局部结构信息来增强DTW。shapeDTW本质上是DTW算法,但另外尝试配对局部相似结构并避免匹配具有不同邻域结构的点。我们应用shapeDTW来对齐具有地面实况对齐的音频信号对,以及人工模拟的对齐序列对,并且定量地获得比DTW及其两个变体低得多的对齐误差。当shapeDTW被用作最近邻分类器(NN-shapeDTW)中的距离度量来分类时间序列时,它在84个UCR时间序列数据集中的64个上击败了DTW,分类精度显著提高。通过使用适当设计的局部结构描述符,shapeDTW在18个数据集上将准确率提高了10%以上。据我们所知,shapeDTW是最近邻分类器方案下第一个显著优于DTW的距离度量,DTW被广泛认为是迄今为止最好的距离度量。我们的代码可在https://github.com/jiapingz/shapeDTW上公开访问。

英文摘要:

Dynamic Time Warping (DTW) is an algorithm to align temporal sequences with possible local non-linear distortions, and has been widely applied to audio, video and graphics data alignments. DTW is essentially a point-to-point matching method under some boundary and temporal consistency constraints. Although DTW obtains a global optimal solution, it does not necessarily achieve locally sensible matchings. Concretely, two temporal points with entirely dissimilar local structures may be matched by DTW. To address this problem, we propose an improved alignment algorithm, named shape Dynamic Time Warping (shapeDTW), which enhances DTW by taking point-wise local structural information into consideration. shapeDTW is inherently a DTW algorithm, but additionally attempts to pair locally similar structures and to avoid matching points with distinct neighborhood structures. We apply shapeDTW to align audio signal pairs having ground-truth alignments, as well as artificially simulated pairs of aligned sequences, and obtain quantitatively much lower alignment errors than DTW and its two variants. When shapeDTW is used as a distance measure in a nearest neighbor classifier (NN-shapeDTW) to classify time series, it beats DTW on 64 out of 84 UCR time series datasets, with significantly improved classification accuracies. By using a properly designed local structure descriptor, shapeDTW improves accuracies by more than 10% on 18 datasets. To the best of our knowledge, shapeDTW is the first distance measure under the nearest neighbor classifier scheme to significantly outperform DTW, which had been widely recognized as the best distance measure to date. Our code is publicly accessible at: https://github.com/jiapingz/shapeDTW.

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