Compute the Probability of an Outcome Given a Hidden Path solved by 749

Probability of an Outcome Given a Hidden Path Problem

Given: A string x, followed by the alphabet Σ from which x was constructed, followed by a hidden path π, followed by the states States and emission matrix Emission of an HMM (Σ, States, Transition, Emission).

Return: The conditional probability Pr(x|π) that string x will be emitted by the HMM given the hidden path π.

Sample Dataset

xxyzyxzzxzxyxyyzxxzzxxyyxxyxyzzxxyzyzxzxxyxyyzxxzx
--------
x   y   z
--------
BBBAAABABABBBBBBAAAAAABAAAABABABBBBBABAABABABABBBB
--------
A   B
--------
    x   y   z
A   0.612   0.314   0.074 
B   0.346   0.317   0.336

Sample Output

1.93157070893e-28

Extra Dataset

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