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Explain entropy, cross-entropy, KL divergence, and mutual information.

These four quantities underlie cross-entropy loss, decision-tree splits, distillation, and the KL penalty in RLHF. The signal is deriving them from one another and pointing to exactly where each shows up in a real training loop.

Updated Aug 2026 · Grounded in real Applied AI Engineer interview loops and written to a senior-engineer editorial bar.

These four quantities underlie cross-entropy loss, decision-tree splits, distillation, and the KL penalty in RLHF. The signal is deriving them from one another and pointing to exactly where each shows up in a real training loop.

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