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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 />

Key Idea of <strong>Dynamic</strong> Programming<br />

The key idea of DP is:<br />

If we would like to take our system into a state s i , <strong>and</strong><br />

• we know the costs c 1 ,...,c k <strong>for</strong> the optimal ways to get<br />

• from the start to all states q 1 ,...,q k from which we can go to s i ,<br />

• then the optimal way to s i goes over the<br />

state q l where l = argmin j c j<br />

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