TABLE 1.

Most common trained HMM from raw detector output training sequences

$\mathbf{A}=\left[\begin{array}{ccc}0.9594\hfill & 0.0406\hfill & 8.08\times {10}^{-6}\hfill \\ 0.2489\hfill & 0.7511\hfill & 0.0001\hfill \\ 0.0010\hfill & 0.0035\hfill & 0.9955\hfill \end{array}\right]$

$\mathbf{B}=\left[\begin{array}{ccc}0.9540\hfill & 0.0460\hfill & 0.0\hfill \\ 0.0627\hfill & 0.9373\hfill & 0.0\hfill \\ 0.0\hfill & 0.0\hfill & 1.0\hfill \end{array}\right]$

${\mathbf{S}}^{\infty }=\left[\begin{array}{c}\hfill 0.8567\hfill \\ \hfill 0.1397\hfill \\ \hfill 0.0036\hfill \end{array}\right]$

This HMM was found 78% of the time (39 of 50 random starts) with the constraints outlined in methods. This HMM was also the one associated with the highest probability of producing the training sequences. A, transition probability matrix; B, symbol emission probability matrix; S^∞, 3 × 1 vector of s₁, s₂, and s₃.