Let the initial belief state $b_0$ for the
$4\times 3$ POMDP on page 4x3-pomdp-page be the uniform distribution
over the nonterminal states, i.e.,
$< \frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},0,0 >$.
Calculate the exact belief state $b_1$ after the agent moves and its
sensor reports 1 adjacent wall. Also calculate $b_2$ assuming that the
same thing happens again.
Let the initial belief state $b_0$ for the $4\times 3$ POMDP on page 4x3-pomdp-page be the uniform distribution over the nonterminal states, i.e., $< \frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},0,0 >$. Calculate the exact belief state $b_1$ after the agent moves and its sensor reports 1 adjacent wall. Also calculate $b_2$ assuming that the same thing happens again.