5,321
edits
Line 22: | Line 22: | ||
</math><br> | </math><br> | ||
<math> | <math> | ||
= \nabla \sum_{j=1}{k} \sum_{i\mid z(i)=j} \Vert x^{(i)} - \mu_{z^{(i)}} \Vert ^2 | = \nabla \sum_{j=1}^{k} \sum_{i\mid z(i)=j} \Vert x^{(i)} - \mu_{z^{(i)}} \Vert ^2 | ||
</math><br> | </math><br> | ||
<math> | <math> | ||
= \nabla \sum_{j=1}{k} \sum_{i\mid z(i)=j} \Vert x^{(i)} - \mu_{j} \Vert ^2 | = \nabla \sum_{j=1}^{k} \sum_{i\mid z(i)=j} \Vert x^{(i)} - \mu_{j} \Vert ^2 | ||
</math><br> | </math><br> | ||
<math> | <math> | ||
= \sum_{j=1}{k} \sum_{i\mid z(i)=j} \nabla \Vert x^{(i)} - \mu_{j} \Vert ^2 | = \sum_{j=1}^{k} \sum_{i\mid z(i)=j} \nabla \Vert x^{(i)} - \mu_{j} \Vert ^2 | ||
</math><br> | </math><br> | ||
<math> | <math> | ||
= \sum_{j=1}{k} \sum_{i\mid z(i)=j} \nabla \Vert x^{(i)} - \mu_{j} \Vert ^2 | = \sum_{j=1}^{k} \sum_{i\mid z(i)=j} \nabla \Vert x^{(i)} - \mu_{j} \Vert ^2 | ||
</math><br> | </math><br> | ||
<math> | <math> | ||
= \sum_{j=1}{k} \sum_{i\mid z(i)=j} 2(x^{(i)} - \mu_{j}) | = \sum_{j=1}^{k} \sum_{i\mid z(i)=j} 2(x^{(i)} - \mu_{j}) | ||
</math><br> | </math><br> | ||
<math> | <math> |