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Neural Network
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readme.md

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@@ -438,14 +438,11 @@ from sklearn.linear_model import LogisticRegression
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- ![\Delta _{ij}^{(l)} = 0](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%5CDelta%20_%7Bij%7D%5E%7B%28l%29%7D%20%3D%200)![\Delta ](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%5CDelta%20)是大写的![\delta ](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%5Cdelta%20)
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- for i=1-m:
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![{a^{(1)}} = {x^{(i)}}](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%7Ba%5E%7B%281%29%7D%7D%20%3D%20%7Bx%5E%7B%28i%29%7D%7D)
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正向传播计算![{a^{(l)}}](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%7Ba%5E%7B%28l%29%7D%7D)(l=2,3,4...L)
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反向计算![{\delta ^{(L)}}](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%7B%5Cdelta%20%5E%7B%28L%29%7D%7D)![{\delta ^{(L - 1)}}](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%7B%5Cdelta%20%5E%7B%28L%20-%201%29%7D%7D)...![{\delta ^{(2)}}](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%7B%5Cdelta%20%5E%7B%282%29%7D%7D)
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![\Delta _{ij}^{(l)} = \Delta _{ij}^{(l)} + a_j^{(l)}{\delta ^{(l + 1)}}](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%5CDelta%20_%7Bij%7D%5E%7B%28l%29%7D%20%3D%20%5CDelta%20_%7Bij%7D%5E%7B%28l%29%7D%20%2B%20a_j%5E%7B%28l%29%7D%7B%5Cdelta%20%5E%7B%28l%20%2B%201%29%7D%7D)
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![\begin{gathered}
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D_{ij}^{(l)} = \frac{1}{m}\Delta _{ij}^{(l)} + \lambda \theta _{ij}^l\begin{array}{c} {}& {(j \ne 0)} \end{array} \hfill \\
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D_{ij}^{(l)} = \frac{1}{m}\Delta _{ij}^{(l)} + \lambda \theta _{ij}^lj = 0\begin{array}{c} {}& {j = 0} \end{array} \hfill \\
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\end{gathered} ](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%5Cbegin%7Bgathered%7D%0A%20%20D_%7Bij%7D%5E%7B%28l%29%7D%20%3D%20%5Cfrac%7B1%7D%7Bm%7D%5CDelta%20_%7Bij%7D%5E%7B%28l%29%7D%20%2B%20%5Clambda%20%5Ctheta%20_%7Bij%7D%5El%5Cbegin%7Barray%7D%7Bc%7D%20%20%20%20%7B%7D%26%20%7B%28j%20%5Cne%200%29%7D%20%20%5Cend%7Barray%7D%20%20%5Chfill%20%5C%5C%0A%20%20D_%7Bij%7D%5E%7B%28l%29%7D%20%3D%20%5Cfrac%7B1%7D%7Bm%7D%5CDelta%20_%7Bij%7D%5E%7B%28l%29%7D%20%2B%20%5Clambda%20%5Ctheta%20_%7Bij%7D%5Elj%20%3D%200%5Cbegin%7Barray%7D%7Bc%7D%20%20%20%20%7B%7D%26%20%7Bj%20%3D%200%7D%20%20%5Cend%7Barray%7D%20%20%5Chfill%20%5C%5C%20%0A%5Cend%7Bgathered%7D%20)
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正向传播计算![{a^{(l)}}](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%7Ba%5E%7B%28l%29%7D%7D)(l=2,3,4...L)
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反向计算![{\delta ^{(L)}}](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%7B%5Cdelta%20%5E%7B%28L%29%7D%7D)![{\delta ^{(L - 1)}}](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%7B%5Cdelta%20%5E%7B%28L%20-%201%29%7D%7D)...![{\delta ^{(2)}}](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%7B%5Cdelta%20%5E%7B%282%29%7D%7D)
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![\Delta _{ij}^{(l)} = \Delta _{ij}^{(l)} + a_j^{(l)}{\delta ^{(l + 1)}}](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=%5CDelta%20_%7Bij%7D%5E%7B%28l%29%7D%20%3D%20%5CDelta%20_%7Bij%7D%5E%7B%28l%29%7D%20%2B%20a_j%5E%7B%28l%29%7D%7B%5Cdelta%20%5E%7B%28l%20%2B%201%29%7D%7D)
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![D_{ij}^{(l)} = \frac{1}{m}\Delta _{ij}^{(l)} + \lambda \theta _{ij}^l\begin{array}{c} {}& {(j \ne 0)} \end{array} ](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=D_%7Bij%7D%5E%7B%28l%29%7D%20%3D%20%5Cfrac%7B1%7D%7Bm%7D%5CDelta%20_%7Bij%7D%5E%7B%28l%29%7D%20%2B%20%5Clambda%20%5Ctheta%20_%7Bij%7D%5El%5Cbegin%7Barray%7D%7Bc%7D%20%20%20%20%7B%7D%26%20%7B%28j%20%5Cne%200%29%7D%20%20%5Cend%7Barray%7D%20)
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![D_{ij}^{(l)} = \frac{1}{m}\Delta _{ij}^{(l)} + \lambda \theta _{ij}^lj = 0\begin{array}{c} {}& {j = 0} \end{array} ](http://chart.apis.google.com/chart?cht=tx&chs=1x0&chf=bg,s,FFFFFF00&chco=000000&chl=D_%7Bij%7D%5E%7B%28l%29%7D%20%3D%20%5Cfrac%7B1%7D%7Bm%7D%5CDelta%20_%7Bij%7D%5E%7B%28l%29%7D%20%2B%20%5Clambda%20%5Ctheta%20_%7Bij%7D%5Elj%20%3D%200%5Cbegin%7Barray%7D%7Bc%7D%20%20%20%20%7B%7D%26%20%7Bj%20%3D%200%7D%20%20%5Cend%7Barray%7D%20)
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