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Table 2 Improvements of cBW + model selection, cBW alon vs Scheffer et al., with fully connected initial transition matrix for synthetic data with 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

7.35/8.29%

2.1E−02/6.2E−05

7.61/8.49%

3/2000

7.99/8.82%

3.9E−02/2.6E−09

8.31/9.00%

3/2400

8.47/9.13%

2.8E−03/2.4E−10

8.71/9.18%

3/2800

8.51/9.24%

5.8E−03/6.9E−10

8.65/9.24%

5/1600

12.97/14.75%

7.8E−05/3.3E−05

11.13/12.82%

5/2000

14.63/16.32%

2.5E−03/1.2E−06

12.65/14.11%

5/2400

14.69/16.54%

7.8E−04/6.2E−06

12.73/14.50%

5/2800

15.56/17.22%

1.6E−02/1.3E−07

13.72/15.22%

7/1600

8.61/10.42%

3.5E−02/1.1E−02

5.56/7.20%

7/2000

10.56/12.40%

6.4E−03/6.2E−03

7.87/9.52%

7/2400

11.35/13.21%

8.2E−03/7.8E−03

8.71/10.43%

7/2800

12.16/14.06%

1.0E−03/1.1E−04

9.68/11.41%