Maximum Entropy Gives the Softmax (theorem)

Mon, 21 Sep 2026 09:22:00 +0900

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The exponential form of a language model’s output is not a design choice made for convenience; it is forced by an optimisation over distributions. Maximise entropy subject to matching a set of expected features, and the solution is always of the form \(\exp(\theta^{\top} f(x))\), normalised.

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Maximum Entropy Gives the Softmax (theorem)