Asked about Entropy, cross-entropy, KL and perplexity

Why is cross-entropy the thing being minimised rather than entropy?

An answer that works

Entropy is a property of the data and cannot be changed by the model. Cross-entropy is what the model's own distribution costs, so it is the only part that training can move, and the gap between the two is the KL divergence the model is actually reducing.

Reading an answer is not being able to give one. The section that teaches this is Entropy, cross-entropy, KL and perplexity, 4 hours of Probability & statistics.

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