# Supervised Learning Algorithm

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A Supervised Learning Algorithm is a learning algorithm that can be implemented into a supervised learning system (to solve a supervised learning task).

## References

### 2017

• (Wikipedia, 2017) ⇒ https://en.wikipedia.org/wiki/Gradient_boosting#Algorithm Retrieved:2017-1-21.
• In many supervised learning problems one has an output variable and a vector of input variables connected together via a joint probability distribution $P(x,y)$ . Using a training set $\{ (x_1,y_1), \dots , (x_n,y_n) \}$ of known values of and corresponding values of, the goal is to find an approximation $\hat{F}(x)$ to a function $F^*(x)$ that minimizes the expected value of some specified loss function $L(y, F(x))$ : : $\hat{F} = \underset{F}{\arg\min} \, \mathbb{E}_{x,y}[L(y, F(x))]$ .