The accurate and efficient calculation of ordinary and generalized posterior distributions is an important problem in the several research fields such as decoding, AI, statistics and statistical mechanics. The condition of generalized posterior distributions is riot given by the deterministic values such as X = x, but by the distributions such as P(X = x) = p{sub}x. If the condition is P(X = x) = 1 then the generalized posterior distribution is an ordinary posterior distribution. In this paper, a procedure using the sum of the e-projection vectors shall be proposed. Since the procedure is suitable for parallel algorithms, an alternate algorithm for calculating generalized posterior distributions on log linear models is given by the procedure. The proposed algorithm works well for the codes with short loops.
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