Compute the solution (minimum cost path) to the dynamic programming problem on the tree in Figure 11.25 (which corresponds to the graphical model from figure 11.6). MAP inference for the chain model can be expressed as N N 1 111 w ˆ N = argmax max max . . . max . log[ P r ( x n |w n )] + . log[ P r ( w n |w n− 1 )] . . . . w N w 1 w 2 w N− 1 n =1 n =2 Show that it is possible to compute this expression piecewise by moving the maximization terms through the summation sequence in a manner similar to that described in Section 11.4.1.

Compute the solution (minimum cost path) to the dynamic programming problem on the tree in Figure XXXXXXXXXXwhich corresponds to the graphical model from figure 11.6). MAP inference for the chain...

Compute the solution (minimum cost path) to the dynamic programming problem on the tree in Figure 11.25 (which corresponds to the graphical model from figure 11.6).

MAP inference for the chain model can be expressed as

N N

1 111

^w
^ˆ

N

⁼

^argmax

max

.

.

.

max

.
^log[
^P

^r
⁽
^x

n

^|w

n

^)]

⁺

.
^log[
^P

^r
⁽
^w

n

^|w

n−

1
^)]

.

.

. .

w

_N
^w
¹
^w
²

^w

N−

1

n

=1

n

=2

Show that it is possible to compute this expression piecewise by moving the maximization terms through the summation sequence in a manner similar to that described in Section 11.4.1.

May 12, 2022

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Compute the solution (minimum cost path) to the dynamic programming problem on the tree in Figure XXXXXXXXXXwhich corresponds to the graphical model from figure 11.6). MAP inference for the chain...

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