From fff35116eed83c9368e8bd07d02c9e95c447e018 Mon Sep 17 00:00:00 2001
From: jvech <jmvalenciae@unal.edu.co>
Date: Tue, 8 Aug 2023 08:55:34 -0500
Subject: add: activation and cost functions added

Training function were fixed and new activation and cost function were
implemented
---
 doc/main.pdf | Bin 530497 -> 530552 bytes
 doc/main.tex |   3 ++-
 2 files changed, 2 insertions(+), 1 deletion(-)

(limited to 'doc')

diff --git a/doc/main.pdf b/doc/main.pdf
index 1a2404e..ce0c426 100644
Binary files a/doc/main.pdf and b/doc/main.pdf differ
diff --git a/doc/main.tex b/doc/main.tex
index 00028f9..d8f90c3 100644
--- a/doc/main.tex
+++ b/doc/main.tex
@@ -43,9 +43,10 @@
     \pdv{\xi}{\omega^l_{ij}} = & \delta_j^l \pdv{z_j^l}{\omega_{ij}} \\
     \delta_j^l = & \pdv{\xi}{z_j^l} \\ 
     \pdv{z_j^l}{\omega_{ij}} = & a_i^{l-1} \\ 
+    \pdv{\xi}{\omega_{ij}} = & \delta^l_{j} a_i^{l-1} \\ 
 \end{eqnarray}
 
-Output Layer
+Output Layer 
 
 \begin{eqnarray}
     \delta_j^L =& \pdv{\xi}{z_j^L} = \pdv{\xi}{a_j^L} \pdv{a_j^L}{z_j^L}\\
-- 
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