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[grad.tex] fix some missing terms due to copy-paste

rexim 2 years ago
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fd64cea056
2 changed files with 2 additions and 2 deletions
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      papers/grad.pdf
  2. 2 2
      papers/grad.tex

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papers/grad.pdf


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papers/grad.tex

@@ -132,8 +132,8 @@ The superscript in parenthesis denotes the current layer. For example $a_i^{(l)}
             &= \pd[w^{(1)}]\left(\avgsum[i, n] (a_i^{(1)} - e_i)^2\right) =\\
             &= \pd[w^{(1)}]\left(\avgsum[i, n] (a_i^{(1)} - e_i)^2\right) =\\
             &= \avgsum[i, n] \pd[w^{(1)}]\left((a_i^{(1)} - e_i)^2\right) =\\
             &= \avgsum[i, n] \pd[w^{(1)}]\left((a_i^{(1)} - e_i)^2\right) =\\
             &= \avgsum[i, n] 2(a_i^{(1)} - e_i)\pd[w^{(1)}]a_i^{(1)} =\\
             &= \avgsum[i, n] 2(a_i^{(1)} - e_i)\pd[w^{(1)}]a_i^{(1)} =\\
-            &= \avgsum[i, n] 2(\pd[a_i^{(1)}]C^{(2)})x_i \\
-  \pd[b^{1}]C^{(1)} &= \avgsum[i, n] 2(\pd[a_i^{(1)}]C^{(2)})
+            &= \avgsum[i, n] 2(\pd[a_i^{(1)}]C^{(2)})a_i^{(1)}(1 - a_i^{(1)})x_i \\
+  \pd[b^{1}]C^{(1)} &= \avgsum[i, n] 2(\pd[a_i^{(1)}]C^{(2)})a_i^{(1)}(1 - a_i^{(1)})
 \end{align}
 \end{align}
 
 
 \subsection{Arbitrary Neurons Model with 1 input}
 \subsection{Arbitrary Neurons Model with 1 input}