Backpropagation and Automatic Differentiation

Backpropagation and Automatic Differentiation #

Backpropagation applies the chain rule:

  • efficiently across a computational graph.
  • repeatedly.

Chain rule:

[ \frac{dL}{dx} = \frac{dL}{dy} \cdot \frac{dy}{dx} ]
flowchart LR
    x --> y
    y --> L

Automatic differentiation computes exact derivatives efficiently using computational graphs.


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