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A TIGHTER LOWER BOUND ESTIMATE FOR DYNAMIC TIME WARPING

机译:动态时间翘曲的更严格的下限估计

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In this paper, we propose a new lower-bound estimate for speeding up dynamic time warping (DTW) on multivariate time sequences. It has several advantages as compared with the inner-product lower bound [1] recently proposed to eliminate a large number of DTW computations. First, we prove that it is tighter than the inner product lower bound while the computational complexity remains comparable. Second, the inner product lower bound is specifically designed for the inner product distance while the proposed lower bound is valid for any distance measure. Third, DTW search can be further speeded up since the distance matrix is calculated in advance at the lower bound estimation stage. Spoken term detection experiments on the TIMIT corpus show that the proposed lower bound estimate is able to reduce the computational requirements for DTW-KNN search by 54% as compared with the inner-product lower bound in black ink.
机译:在本文中,我们提出了一种新的缩小估计,用于加速多变量时间序列的动态时间翘曲(DTW)。与内部产品下限[1]相比,它最近有几个优点是为了消除大量的DTW计算。首先,我们证明它比内部产品更紧密,而计算复杂性仍然可比。其次,内部产品下限专门为内部产品距离而设计,而提出的下限对于任何距离测量有效。第三,可以进一步加速DTW搜索,因为在下限估计阶段预先计算距离矩阵。在Timit Corpus上的口语术语检测实验表明,与黑色墨水的内部产品下限相比,所提出的下限估计能够将DTW-KNN搜索的计算要求降低54%。

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