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Gregoire Montavon
LRP tutorial
Commits
081c0256
Commit
081c0256
authored
4 years ago
by
Gregoire Montavon
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README.md
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081c0256
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@@ -194,10 +194,9 @@ propagation rule that properly handles pixel values received as input (cf.
Section 10.3.2). In particular, we apply for this layer the zB-rule given
by:
</p>
<img src="http://latex.codecogs.com/svg.latex?
R_i =
\s
um_j
\f
rac{a_i w_{ij} - l_i w_{ij}^+ - h_i w_{ij}^-}{
\s
um_{i} a_i w_{ij}
-
l_i w_{ij}^+ - h_i w_{ij}^-} R_j
">
<img src="http://latex.codecogs.com/svg.latex?R_i =
\s
um_j
\f
rac{a_i w_{ij} -
l_i w_{ij}^+ - h_i w_{ij}^-}{
\s
um_{i} a_i w_{ij} - l_i w_{ij}^+ - h_i w_{ij}^-}
R_j">
<p>
In this rule,
<i>
l
<sub>
i
</sub></i>
and
<i>
h
<sub>
i
</sub></i>
are the lower and
upper bounds of pixel values, i.e. "-1" and "+1", and (·)
<sup>
+
</sup>
and
...
...
@@ -343,10 +342,8 @@ parameters, and where we apply the increment function afterwards. As shown in
the LRP overview paper, Step 3 can instead be computed as a gradient in the
space of input activations:
</p>
<img src="http://latex.codecogs.com/svg.latex?
c_j =
\b
ig[
\n
abla~
\b
ig({
\t
extstyle
\s
um_k}~z_k(
\b
oldsymbol{a})
\c
dot
s_k
\b
ig)
\b
ig]_j
">
<img src="http://latex.codecogs.com/svg.latex?c_j =
\b
ig[
\n
abla~
\b
ig({
\t
extstyle
\s
um_k}~z_k(
\b
oldsymbol{a})
\c
dot s_k
\b
ig)
\b
ig]_j">
<p>
where
<i>
s
<sub>
k
</sub></i>
is treated as constant.
</p>
...
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