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Advanced Optimization

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Now · 8.1 Newton-Raphson for GLM

Advanced Optimization

8.1 Newton-Raphson for GLM

Iteratively re-weighted least squares (IRLS):
β(t+1)=(XTWX)1XTWz\boldsymbol{\beta}^{(t+1)} = (\mathbf{X}^T\mathbf{W}\mathbf{X})^{-1}\mathbf{X}^T\mathbf{W}\mathbf{z}

8.2 BFGS (Quasi-Newton)

Approximates Hessian using gradient information, avoiding O(p3)O(p^3) computation. Join Discord PreviousNumerical Linear AlgebraNextNumerical Optimization
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