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Chain rule

The chain rule differentiates a composition by multiplying local derivatives along dependency paths. Reverse-mode automatic differentiation reuses these local derivatives efficiently when a scalar loss depends on many parameters.

(f\circ g)'(x)=f'(g(x))g'(x)

Overview. The chain rule differentiates a composition by multiplying local derivatives along dependency paths.

Context. Reverse-mode automatic differentiation reuses these local derivatives efficiently when a scalar loss depends on many parameters.

Claims and evidence

Claim ledger, 2