Question: Computing the evidence likelihood L 1:t = P(e 1:t ) in a temporal sequence can be done using a recursive computation similar to the filtering

Computing the evidence likelihood L_1:t = P(e_1:t) in a temporal sequence can be done using a recursive computation similar to the filtering algorithm. Show that the likelihood message ℓ_1:t(X_t) = P(X_t , e_1:t) satisfies the same recursive relationship as the filtering message; that is, ℓ1:t+1 = FORWARD(ℓ_1:t , e_t+1).

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