Gradient

Creator
Creator
Seonglae Cho
Created
Created
2023 Mar 16 2:43
Editor
Edited
Edited
2024 Mar 20 1:47
Refs

Derivate multi variable scalar function to vector field using
Partial Derivative

notion image
2차일 때 등고선 개념으로 이해하면 쉽다. 그래디언트의 크기는 경사도
f(x)=f(x)f(x)f(x)=f(x)logf(x)\nabla f(x) = f(x) \frac{\nabla f(x)}{f(x)} = f(x)\nabla logf(x)Ex pθ(x)θlogpθ(x)=pθθlogpθ(x)dx=θpθ(x)dx=pθ(x)dx=θ1=0E_{x ~ p_\theta(x)} \nabla_\theta log p_\theta (x) = \int p_\theta \nabla_\theta log p_\theta(x)dx \newline = \int\nabla_\theta p_\theta(x)dx \newline = \nabla \int p_\theta (x) dx \newline = \nabla_\theta 1 \newline = 0
 
 
 
 
 
 

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