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I have a dataset which contains vectors that generated from subtitles and have been L1 normalised, I want to calculate cosine similarity & Euclidean distance, I thought it is better if I use Z-score or Min-Max normalization, is it necessary and why? The L-1 normalization only guarantee the scale of each feature is 0-1 right?

(The results before and after Z-score or Min-Max normalization are different, seems Min-max has better result, not sure why) Many thanks.

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