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Chunk #41 — 4 Regularized Multinomial Regression

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Regularization Paths for Generalized Linear Models via Coordinate Descent.
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This amounts to the sequence of nested loops: OUTER LOOP: Decrement λ.MIDDLE LOOP (OUTER): Cycle over ℓ ∈ {1, 2, …, K, 1, 2, …}.MIDDLE LOOP (INNER): Update the quadratic approximation ℓQℓ using the current parameters {β˜0k,β˜k}1K.INNER LOOP: Run the co-ordinate descent algorithm on the penalized weighted-least-squares problem (26).