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Table 4 Detailed results of SParSE and SParSE++ applied to SIRS disease dynamics on eight initial reaction rates (column 1) that exhibited slowest SParSE convergence

From: SParSE++: improved event-based stochastic parameter search

  

SParSE

SParSE++

 

k 0

\(\hat {p}^{0}\)

IE

γ

OP

Interp

Tot

IE

γ

OP

Leap

Interp

Tot

Gain

[0.079 1.59 2.42]

0.80

20

17

17

1

55

4

3

3

3

3

16

39

[0.081 1.07 2.28]

0.87

18

16

16

0

50

4

3

3

5

0

15

35

[0.067 3.96 2.37]

0.00

17

6

0

5

38

12

11

0

2

0

25

13

[0.064 3.31 1.71]

0.00

13

12

0

5

30

10

9

0

3

0

22

8

[0.035 1.22 2.38]

0.64

11

8

8

2

29

5

4

4

2

0

15

14

[0.040 3.59 1.52]

0.00

13

12

0

3

28

11

10

0

1

0

22

6

[0.080 2.08 2.22]

0.74

11

8

8

1

28

3

2

2

1

0

8

20

[0.031 3.16 1.84]

0.00

11

10

0

6

27

9

8

0

1

0

18

9

  1. Initial probability estimate, number of intermediate event (IE) computations, number of biasing parameter computations, number of over-perturbation (OP) stages, and number of interpolation stages for SParSE simulations are given in columns 2-6, respectively. Column 7 contains the total number of SParSE iterations (row sum) for the initial rate in column 1. SParSE++ statistics are listed in columns 8 to 13, including the number of times the leaping method was used in column 11. The number of iterations saved by employing SParSE++ over SParSE is given in column 14 (difference between columns 7 and 13)