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Dynamic Time Warping (DTW) for Single Word and Sentence ...

Dynamic Time Warping (DTW) for Single Word and Sentence ...

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<strong>DTW</strong> <strong>for</strong> <strong>Single</strong> <strong>Word</strong> <strong>and</strong> <strong>Sentence</strong> Recognizers<br />

y<br />

Solution: <strong>Time</strong> <strong>Warping</strong><br />

x<br />

Given:<br />

two sequences x 1 ,x 2 ,...,x n <strong>and</strong> y 1 ,y 2 ,...,y m<br />

Wanted:<br />

alignment relation R, where (i,j) is in R<br />

iff x i is aligned with y j ., i.e. are looking <strong>for</strong><br />

a common time-axis:<br />

30<br />

y<br />

y 8,y 9 align to<br />

same x<br />

y 6 has no partner<br />

x 3,x 4 align to the same y<br />

x

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