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Table 5 Improvements of cBW + model selection, cBW alone vs Scheffer et al. in cases of correct 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

7.46/8.01%

2.8E−02/1.7E−02

7.64/8.11%

3/2000

8.09/8.52%

3.0E−02/1.6E−02

8.25/8.60%

3/2400

8.32/8.67%

3.7E−02/5.9E−03

8.49/8.73%

3/2800

8.58/8.99%

4.9E−02/1.2E−03

8.79/9.09%

5/1600

9.52/10.62%

1.1E−01/5.1E−02

9.45/10.59%

5/2000

10.53/11.55%

6.0E−02/8.2E−03

10.47/11.63%

5/2400

11.51/12.58%

2.0E−02/3.5E−04

11.44/12.58%

5/2800

12.49/13.55%

1.7E−02/8.0E−06

12.55/13.61%

7/1600

8.75/10.19%

2.9E−02/2.6E−02

8.27/9.77%

7/2000

10.50/11.99%

2.1E−02/4.2E−03

9.82/11.31%

7/2400

11.15/12.47%

6.9E−02/7.8E−04

10.69/12.11%

7/2800

12.36/13.75%

5.2E−02/1.1E−05

12.05/13.57%