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===Uniform Convergence===
===Uniform Convergence===
If for all hypothesis <math>h</math>, <math>|L_S(h)-L_D(h)| \leq \epsilon</math>, then the training set <math>S</math> is called <math>\epsilon</math>-representative.<br>
If for all hypothesis <math>h</math>, <math>|L_S(h)-L_D(h)| \leq \epsilon</math>, then the training set <math>S</math> is called <math>\epsilon</math>-representative.<br>
Then  
Then if a training set is <math>\epsilon / 2</math>-representative,<br>
<math>
<math>
L_D(h_s)  
L_D(h_s)