Starting diffphys chapter

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2021-01-15 16:13:41 +08:00
parent 0063c71c05
commit cbf20ff8fe
6 changed files with 273 additions and 13 deletions

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@@ -22,7 +22,7 @@ by adjusting weights $\theta$ of our representation with $f$ such that
$\text{arg min}_{\theta} \sum_i (f(x_i ; \theta)-y_i)^2$.
This will give us $\theta$ such that $f(x;\theta) \approx y$ as accurately as possible given
our choice of $f$ and the hyper parameters for training. Note that above we've assumed
our choice of $f$ and the hyperparameters for training. Note that above we've assumed
the simplest case of an $L^2$ loss. A more general version would use an error metric $e(x,y)$
to be minimized via $\text{arg min}_{\theta} \sum_i e( f(x_i ; \theta) , y_i) )$. The choice
of a suitable metric is topic we will get back to later on.