N (10)

Question 1

What is the initial step in the Forward procedure for Task 1?

Answer 1

aj (i) = T; bi (01)

This step initializes the forward algorithm for processing the first file.

Question 2

In the Forward procedure, for which values of t does the iteration occur?

Answer 2

t = 2, 3, …, T

This indicates the time steps at which the forward algorithm processes the data.

Question 3

What is the initial step in the Backward procedure for Task 1?

Answer 3

PT (i) = ni

This step initializes the backward algorithm for processing the data.

Question 4

In the Backward procedure, for which values of t does the iteration occur?

Answer 4

t = T - 2, …, 1

This indicates the time steps at which the backward algorithm processes the data.

Question 5

What does the transition likelihood represent?

Answer 5

Joint probability of states i and j, conditioned on the observations

It is mathematically expressed as ŝt (i,j) = P (xt-1 = i, xt = j|O, 1).

Question 6

What is the formula for transition likelihood?

Answer 6

şt (i,j) = P (xt-1 = i, xt = j|O, 1) = at-1(i) aij bj (01) Be(j)

This formula calculates the transition likelihood based on previous states and observations.