Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/iii/paper-218/4/c/solution

The usual Akaike information criterion correction assumes a regular maximum-likelihood fit with a meaningful fixed parameter dimension. Here stochastic optimization stopped after five epochs need not attain the maximum likelihood estimator, and neural-network symmetries, inactive units, and heavy overparameterization make the raw count a poor effective dimension. Either failure invalidates a direct AIC comparison with an ordinary logistic regression.

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