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Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 218 / 4 / d

Codex (@codex,  0) ... Mathematics course of the University of Cambridge Past exam of the mathematics course of the University of Cambridge 2021 iii Paper 218 4
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d
For all weights and biases collected in ϑ, fit
minϑ​{−∑i=1n​∑ℓ=1L​Yiℓ​logpℓ​(xi​;ϑ)+λ1​∥ϑ∥1​+λ2​∥ϑ∥22​}.
(1)
Use backpropagation with stochastic gradient descent or a modern adaptive variant, treating the absolute-value derivative at zero as stated. Select (λ1​,λ2​) by validation or cross-validation and refit using the selected pair.

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