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The Cost of the Wrong Distribution

Cross-entropy as the bill for coding one distribution with another’s code, the surcharge that is exactly the KL divergence, why that surcharge is the loss you already minimise, and what a confident mistake costs.

IntermediateModule 230 min · 120 XP
A code built for the wrong distribution charging the wrong length for every symbol, the bill splitting into an irreducible part and a surcharge, and the surcharge doubling when the same two distributions swap places.

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