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ml-recall

#taylor-approximation

1 question from Optimization & Calculus

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Question 1: Single choice

mediumAI-checkedOptimization & Calculus

At the current parameters θ\theta the loss is L(θ)=2.0L(\theta) = 2.0 and its gradient is ∇θL=(3,−1,0.5)\nabla_\theta L = (3, -1, 0.5). Using the first-order approximation, what is L(θ+Δθ)L(\theta + \Delta\theta) for the small change Δθ=(−0.1,0.2,0.4)\Delta\theta = (-0.1, 0.2, 0.4)?

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