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Table 4 Improvements of cBW + model selection, cBW alon vs Scheffer et al., with fully connected initial transition matrix for synthetic data with posterior-Viterbi algorithm

From: A new algorithm to train hidden Markov models for biological sequences with partial labels

State #/training sample

Average improvements of cBW + model selection in setting 1/2

Average p value of cBW + model selection in setting 1/2

Average improvements of cBW alone in setting 1/2

3/1600

7.08/8.02%

3.6E−02/1.9E−04

7.49/8.35%

3/2000

7.93/8.57%

9.5E−03/3.9E−05

8.32/8.88%

3/2400

8.21/8.85%

1.7E−03/2.5E−05

8.55/9.03%

3/2800

8.43/9.15%

1.8E−03/1.1E−06

8.82/9.36%

5/1600

9.13/10.62%

2.4E−02/3.2E−03

9.08/10.58%

5/2000

10.32/11.68%

1.4E−02/6.2E−05

10.38/11.76%

5/2400

11.26/12.74%

1.1E−02/2.0E−06

11.29/12.84%

5/2800

12.48/13.76%

9.8E−03/2.1E−08

12.56/13.86%

7/1600

8.40/10.08%

6.0E−02/2.5E−02

7.77/9.50%

7/2000

10.22/11.96%

3.2E−02/1.3E−04

9.82/11.65%

7/2400

11.10/12.68%

8.1E−03/1.5E−05

10.60/12.31%

7/2800

12.18/13.89%

1.6E−04/8.4E−08

11.96/13.77%