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Table 1 Performance of the coarse-grained parallelization and the self-adaptive scheme proposed

From: Parameter estimation in large-scale systems biology models: a parallel and self-adaptive cooperative strategy

P

Method

Mean iter ±std

Mean evals ±std

Mean time ±std(s)

Speedup

 

10-eSS

80 ±30

199214 ±44836

5378±1070

-

 

CeSS (τ=700s)

109 ±49

188131 ±82834

6487±3226

0.83

B1

CeSS (τ=1400s)

122 ±41

175331 ±98255

5018±1477

1.07

 

saCeSS(non-adaptive)

92 ±35

143145 ±61828

3759±976

1.43

 

saCeSS

62 ±21

92122 ±35058

2753±955

1.95

 

10-eSS

450 ±167

1504503 ±541257

1914±714

-

 

CeSS (τ=400s)

452 ±278

1637125 ±1016688

2459±2705

0.78

B2

CeSS (τ=800s)

508 ±205

1802917 ±690613

1911±1103

1.00

 

saCeSS(non-adaptive)

440 ±192

1528793 ±647677

1918±833

1.00

 

saCeSS

846 ±982

1247699 ±1222378

1694±1677

1.13

 

10-eSS

10062 ±2528

66915128 ±15623835

511166±135988

-

 

CeSS(τ=50000s)

7288 ±5551

52592578 ±35513874

332721±245829

1.53

B3

saCeSS(non-adaptive)

4323 ±3251

32604331 ±23357322

251305±209082

2.03

 

saCeSS

4113 ±3130

27647470 ±21488783

229888±238970

2.22

 

10-eSS

99 ±121

2230089 ±2068300

750±692

-

 

CeSS (τ=100s)

140 ±386

1665954 ±2921838

817±1909

0.92

B4

CeSS (τ=200s)

119 ±87

1649723 ±1024833

518±428

1.45

 

saCeSS(non-adaptive)

39 ±30

1163458 ±927751

402±303

1.86

 

saCeSS

35 ±24

1017956 ±728328

343±240

2.18

 

10-eSS

16 ±4

69448 ±14570

901±197

-

 

CeSS (τ=200s)

11 ±4

108481 ±36190

1481±634

0.61

B5

CeSS (τ=400s)

14 ±3

94963 ±20172

996±264

0.90

 

saCeSS(non-adaptive)

10 ±2

49622 ±9530

637±131

1.42

 

saCeSS

10 ±3

51076 ±12696

658±174

1.37

 

10-eSS

4659 ±3742

9783720 ±8755231

8217±7536

-

 

CeSS (τ=1000s)

5919 ±5079

10475485 ±8978383

8109±7441

1.01

B6

CeSS (τ=2000s)

6108 ±6850

10778260 ±12157617

7878±9400

1.04

 

saCeSS(non-adaptive)

2501 ±1517

4394243 ±2689489

3638±2302

2.26

 

saCeSS

1500 ±1265

2594741 ±2214235

2177±1933

3.77

  1. Execution time and speedup results using 10 processors. Stopping criteria: VTR B1=1.3753×104, VTR B2=2.50×102, VTR B3=3.7×10−1, VTR B4=55, VTR B5=4.2×103, VTR B6=1.0833×105