Deep Learning: Difference between revisions

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We optimize <math>\min_{\theta} E \left[ l(f_{\theta}(x), y) \right] = \frac{1}{n} \sum l(f_{\theta}(x_i), y_i) </math>.
We optimize <math>\min_{\theta} E \left[ l(f_{\theta}(x), y) \right] = \frac{1}{n} \sum l(f_{\theta}(x_i), y_i) </math>.


;Q: What is an ''adversarial example''?
;What is an ''adversarial example''?
<math>x'</math> is an adversarial example for <math>x</math> under a model <math>f_{\theta}()</math> if  
<math>x'</math> is an adversarial example for <math>x</math> under a model <math>f_{\theta}()</math> if  
* <math>f_{\theta}(x) \neq f_{\theta}(x')</math> and
* <math>f_{\theta}(x) \neq f_{\theta}(x')</math> and