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authorYong He <yonghe@outlook.com>2023-11-27 13:46:26 -0800
committerGitHub <noreply@github.com>2023-11-27 13:46:26 -0800
commita2083d64fec7732195e533b6a2ed7d05cc9beedc (patch)
tree76d54ade017324fad6bf9dae639922196e3b3e95 /docs/user-guide
parentb58452651ae70896cde2faf4fb86d8b4b8c8f20e (diff)
Update 07-autodiff.md
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@@ -127,7 +127,7 @@ Where $$\omega' \in \mathbf{w}'$$ represents the partial derivative of $$\omega_
Given this definition, $$\mathbb{F}[f]$$ can be used as a forward propagation function that is able to compute $$\frac{\partial f_i}{\partial \omega_0}$$ from $$\frac{\partial \omega_{i-1}}{\partial \omega_0}$$.
### Backward Propagation of Derivatives
-When the backpropagation algorithm to train a neural network, we are more interested in figuring out the partial derivative of the final system output with regard to a parameter $$\omega_i$$ in $$f_i$$. To do so, we generally utilize the backward derivative propagation function
+When using the backpropagation algorithm to train a neural network, we are more interested in figuring out the partial derivative of the final system output with regard to a parameter $$\omega_i$$ in $$f_i$$. To do so, we generally utilize the backward derivative propagation function
$$\mathbb{B}[f_i] = f_i^{-1}(\frac{\partial Y}{\partial f_i}) = \frac{\partial Y}{\partial \mathbf{w}_i}$$