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Table 1 Results of SParSE applied to the birth-death process

From: Stochastic parameter search for events

P E

SParSE samples

Interpolations

Failures

Successful

     

URS

0.40

0.01

286 (35)

29 [1, 7, 19, 3]

0

3

 

0.05

182 (33)

23 [7, 22, 1, 0]

0

12

 

0.10

133 (29)

19 [11, 19, 0, 0]

0

11

0.60

0.01

319 (36)

30 [0, 3, 18, 9]

2

2

 

0.05

164 (33)

26 [4, 25, 0, 1]

0

8

 

0.10

120 (30)

18 [12, 18, 0, 0]

0

12

0.80

0.01

240 (51)

28 [2, 17, 10, 1]

0

2

 

0.05

137 (43)

15 [15, 15, 0, 0]

0

6

 

0.10

108 (37)

1 [29, 1, 0, 0]

0

12

  1. The first column denotes the target probability, the second column absolute error tolerance, the third column the total number of SParSE samples computed for the 30 initial parameter sets with the number inside the parenthesis indicating the total number of intermediate event computations, the fourth the number of initial reaction rate parameter sets that required exponential interpolation, the fifth the number of initial sets that did not converge to the solution hyperplane, and the sixth the number of successful parameter sets generated with URS. For the fourth column, four numbers inside the bracket indicate the number of parameter sets that required 0, 1, 2, and 3 interpolations, respectively. N = 5 × 104.