# Exercises Set 1¶

## Question 1¶

How does machine learning relate to scientific inquiry loop?

Supervised learning setup: given data set $D=\{(x_1, t_1), \ldots, (x_N, t_N) \}$, infer $p(t|x)$. Unsupervised learning setup: given data set $D=\{x_1, \ldots, x_N \}$, infer $p(x)$. Reinforcement learning setup: let $s_t \in S$ be environmental states, $a_t \in A$ be actions and $r_t \colon A \times S \to [0,1]$ be a reward function. Reinforcement objective is to; \begin{align*} \underset{a_t}{\text{maximize}}& &r_t \end{align*}