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[D] What are the measures to evaluate two probability distributions?

For a single learning approach, you can do F1 score measures, but how will you evaluate a probability distribution? (i.e. compare [0.1,0.2,0.5,0.2] and [0.2,0.1,0.5,0.2]) My reading on the area has pointed to KL-divergence to measure the information loss, but any other methods to consider?

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