Both the L1 distance and correlation are widely used to compare two time series.

Question

Both the L1 distance and correlation are widely used to compare two time series. The most appropriate measure depends on the specific problem or domain requirements. Decide the proper measure for each of the following scenarios in climate data analysis:

1. We want to compare the temperatures of two cities for 100 days with respect to their levels.

2. We want to compare the temperatures of two cities for 100 days with respect to the trends (up and down) that occur in temperature during the 100 days.

Explanation / Answer

L1 Norm:

Norm measures the absolute distance between the pixels of the original and the corrected image. Formula for the L1 norm is:

?(abs(img_original _i-img_corrected_i)), where the summation index i goes over all the pixels in the image

?So, L1 norm in first case as relative difference wrt to levels.

And corrleation in 2nd case as as comparison b/w days data.

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