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Update Back-Prop-Learning.md
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md/Back-Prop-Learning.md

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@@ -17,12 +17,12 @@ __function__ BACK-PROP-LEARNING(_examples_, _network_) __returns__ a neural netw
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       __for each__ node _j_ in layer _l_ __do__
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&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;_in<sub>j</sub>_ &larr; &Sigma;<sub>_i_</sub> _w<sub>i,j</sub>_ _a<sub>i</sub>_
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&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;_a<sub>j</sub>_ &larr; _g_(_in<sub>j</sub>_)
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&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;/\* _Propagate deltas backward from output layer to input layer_ \*/
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&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;__for each__ node _j_ in the output layer __do__
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&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&Delta;\[_j_\] &larr; _g_&prime;(_in<sub>j</sub>_) &times; (_y<sub>i</sub>_ &minus; _a<sub>j</sub>_)
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&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;__for__ _l_ = _L_ &minus; 1 __to__ 1 __do__
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&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;__for each__ node _i_ in layer _l_ __do__
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&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&Delta;\[_i_\] &larr; _g_&prime;(_in<sub>i</sub>_) &Sigma;<sub>_j_</sub> _w<sub>i,j</sub>_ &Delta;\[_j_\]
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&emsp;&emsp;&emsp;&emsp;&emsp;/\* _Propagate deltas backward from output layer to input layer_ \*/
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&emsp;&emsp;&emsp;&emsp;&emsp;__for each__ node _j_ in the output layer __do__
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&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&Delta;\[_j_\] &larr; _g_&prime;(_in<sub>j</sub>_) &times; (_y<sub>i</sub>_ &minus; _a<sub>j</sub>_)
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&emsp;&emsp;&emsp;&emsp;&emsp;__for__ _l_ = _L_ &minus; 1 __to__ 1 __do__
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&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;__for each__ node _i_ in layer _l_ __do__
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&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&Delta;\[_i_\] &larr; _g_&prime;(_in<sub>i</sub>_) &Sigma;<sub>_j_</sub> _w<sub>i,j</sub>_ &Delta;\[_j_\]
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&emsp;&emsp;&emsp;&emsp;&emsp;/\* _Update every weight in network using deltas_ \*/
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&emsp;&emsp;&emsp;&emsp;&emsp;__for each__ weight _w<sub>i,j</sub>_ in _network_ __do__
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&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;&emsp;_w<sub>i,j</sub>_ &larr; _w<sub>i,j</sub>_ &plus; _&alpha;_ &times; _a<sub>i</sub>_ &times; &Delta;\[_j_\]

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