Updated the documentation for 'gradient' and 'Hessian' (subscript error)

This commit is contained in:
Maarten Keijzer 2015-12-29 15:28:43 +01:00
parent d747649892
commit a6c35a8d74

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@ -150,8 +150,8 @@ Obj^{(t)} = \sum_{i=1}^n [l(y_i, \hat{y}_i^{(t-1)}) + g_i f_t(x_i) + \frac{1}{2}
where the ``$g_i$`` and ``$h_i$`` are defined as
```math
g_i &= \partial_{\hat{y}_i^{(t)}} l(y_i, \hat{y}_i^{(t-1)})\\
h_i &= \partial_{\hat{y}_i^{(t)}}^2 l(y_i, \hat{y}_i^{(t-1)})
g_i &= \partial_{\hat{y}_i^{(t-1)}} l(y_i, \hat{y}_i^{(t-1)})\\
h_i &= \partial_{\hat{y}_i^{(t-1)}}^2 l(y_i, \hat{y}_i^{(t-1)})
```
After we remove all the constants, the specific objective at step ``$t$`` becomes