1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446
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###################################
class=AdaptiveStrategy implementation=class=CleaningStrategy maximum size=20 significance factor=1e-06 derived from class=AdaptiveStrategyImplementation maximumDimension=84
ProjectionStrategyImplementation
- coefficients: dimension=21
- residual: 0.0313673
- relative error: 0.0178023
- measure: Distribution
- weighted experiment: WeightedExperiment
- input sample: size= 250 x dimension= 3
- output sample: size= 250 x dimension= 1
- weights: dimension= 250
- design: size= 250
residuals= [0.0313673]
relativeErrors= [0.0178023]
mean=3.46342005 absolute error=0.0365799482
variance=13.50334313 absolute error=0.3412448109
Sobol index 0 = 0.31585299 absolute error=0.0019477974
Sobol index 1 = 0.42761607 absolute error=0.0147950720
Sobol index 2 = 0.00000169 absolute error=0.0000016866
Sobol index [0,1] =0.00001628 absolute error=0.0000162807
Sobol index [0,2] =0.25602203 absolute error=0.0123383686
Sobol index [1,2] =0.00035373 absolute error=0.0003537299
Sobol index [0,1,2] =0.00013721 absolute error=0.0001372088
Sobol total index 0 =0.57202851 absolute error=0.0144396556
Sobol total index 1 =0.42812329 absolute error=0.0142878525
Sobol total index 2 =0.25651466 absolute error=0.0128309938
Sobol total index [0,1] =0.00015349 absolute error=0.0001534896
Sobol total index [0,2] =0.25615924 absolute error=0.0124755774
Sobol total index [1,2] =0.00049094 absolute error=0.0004909387
Sobol total index [0,1,2] =0.00013721 absolute error=0.0001372088
Sobol grouped index [0,1] =0.74348534 absolute error=0.0128309938
Sobol grouped index [0,2] =0.57187671 absolute error=0.0142878525
Sobol grouped index [1,2] =0.42797149 absolute error=0.0144396556
Sobol grouped index [0,1,2] =1.00000000 absolute error=0.0000000000
Sobol grouped total index [0,1,2] =1.00000000 absolute error=0.0000000000
Part of variance
1, 1, [1,0,0], 0.1925
4, 7, [0,2,0], 0.0262
5, 10, [3,0,0], 0.1211
6, 15, [1,0,2], 0.1538
7, 30, [0,4,0], 0.2821
8, 35, [5,0,0], 0.0022
9, 40, [3,0,2], 0.0859
13, 49, [1,0,4], 0.0159
16, 77, [0,6,0], 0.1193
FunctionalChaosSobolIndices
- input dimension=3
- output dimension=1
- basis size=21
- mean=[3.46342]
- std-dev=[3.67469]
| Index | Multi-index | Variance part |
|-------|---------------|---------------|
| 7 | [0,4,0] | 0.282068 |
| 1 | [1,0,0] | 0.192489 |
| 6 | [1,0,2] | 0.153831 |
| 5 | [3,0,0] | 0.121123 |
| 16 | [0,6,0] | 0.119296 |
| 9 | [3,0,2] | 0.085949 |
| 4 | [0,2,0] | 0.0262396 |
| 13 | [1,0,4] | 0.015865 |
| Input | Name | Sobol' index | Total index |
|-------|---------------|---------------|---------------|
| 0 | X1 | 0.315853 | 0.572029 |
| 1 | X2 | 0.427616 | 0.428123 |
| 2 | X3 | 1.68656e-06 | 0.256515 |
###################################
class=AdaptiveStrategy implementation=class=CleaningStrategy maximum size=20 significance factor=1e-06 derived from class=AdaptiveStrategyImplementation maximumDimension=84
ProjectionStrategyImplementation
- coefficients: dimension=21
- residual: 0.032434
- relative error: 0.0196503
- measure: Distribution
- weighted experiment: WeightedExperiment
- input sample: size= 250 x dimension= 3
- output sample: size= 250 x dimension= 1
- weights: dimension= 250
- design: size= 250
residuals= [0.032434]
relativeErrors= [0.0196503]
mean=3.54042934 absolute error=0.0404293402
variance=13.37475093 absolute error=0.4698370155
Sobol index 0 = 0.31288968 absolute error=0.0010155152
Sobol index 1 = 0.45251412 absolute error=0.0101029787
Sobol index 2 = 0.00039482 absolute error=0.0003948151
Sobol index [0,1] =0.00050315 absolute error=0.0005031478
Sobol index [0,2] =0.23225190 absolute error=0.0114317673
Sobol index [1,2] =0.00130394 absolute error=0.0013039361
Sobol index [0,1,2] =0.00014240 absolute error=0.0001424047
Sobol total index 0 =0.54578713 absolute error=0.0118017299
Sobol total index 1 =0.45446361 absolute error=0.0120524673
Sobol total index 2 =0.23409305 absolute error=0.0095906113
Sobol total index [0,1] =0.00064555 absolute error=0.0006455525
Sobol total index [0,2] =0.23239430 absolute error=0.0112893626
Sobol total index [1,2] =0.00144634 absolute error=0.0014463408
Sobol total index [0,1,2] =0.00014240 absolute error=0.0001424047
Sobol grouped index [0,1] =0.76590695 absolute error=0.0095906113
Sobol grouped index [0,2] =0.54553639 absolute error=0.0120524673
Sobol grouped index [1,2] =0.45421287 absolute error=0.0118017299
Sobol grouped index [0,1,2] =1.00000000 absolute error=0.0000000000
Sobol grouped total index [0,1,2] =1.00000000 absolute error=0.0000000000
Part of variance
1, 1, [1,0,0], 0.1932
2, 7, [0,2,0], 0.0234
3, 10, [3,0,0], 0.1168
4, 15, [1,0,2], 0.1254
6, 30, [0,4,0], 0.2877
7, 35, [5,0,0], 0.0028
8, 40, [3,0,2], 0.0911
10, 49, [1,0,4], 0.0145
14, 58, [5,0,1], 0.0011
17, 77, [0,6,0], 0.1414
FunctionalChaosSobolIndices
- input dimension=3
- output dimension=1
- basis size=21
- mean=[3.54043]
- std-dev=[3.65715]
| Index | Multi-index | Variance part |
|-------|---------------|---------------|
| 6 | [0,4,0] | 0.28771 |
| 1 | [1,0,0] | 0.193223 |
| 17 | [0,6,0] | 0.141372 |
| 4 | [1,0,2] | 0.125406 |
| 3 | [3,0,0] | 0.116822 |
| 8 | [3,0,2] | 0.091121 |
| 2 | [0,2,0] | 0.0234323 |
| 10 | [1,0,4] | 0.0144881 |
| Input | Name | Sobol' index | Total index |
|-------|---------------|---------------|---------------|
| 0 | X1 | 0.31289 | 0.545787 |
| 1 | X2 | 0.452514 | 0.454464 |
| 2 | X3 | 0.000394815 | 0.234093 |
###################################
class=AdaptiveStrategy implementation=class=CleaningStrategy maximum size=20 significance factor=1e-06 derived from class=AdaptiveStrategyImplementation maximumDimension=84
ProjectionStrategyImplementation
- coefficients: dimension=21
- residual: 0.0290505
- relative error: 0.0154051
- measure: Distribution
- weighted experiment: WeightedExperiment
- input sample: size= 250 x dimension= 3
- output sample: size= 250 x dimension= 1
- weights: dimension= 250
- design: size= 250
residuals= [0.0290505]
relativeErrors= [0.0154051]
mean=3.52113827 absolute error=0.0211382679
variance=13.62209540 absolute error=0.2224925455
Sobol index 0 = 0.31794192 absolute error=0.0040367337
Sobol index 1 = 0.43569734 absolute error=0.0067138095
Sobol index 2 = 0.00000141 absolute error=0.0000014063
Sobol index [0,1] =0.00004580 absolute error=0.0000458036
Sobol index [0,2] =0.24415868 absolute error=0.0004750191
Sobol index [1,2] =0.00043642 absolute error=0.0004364176
Sobol index [0,1,2] =0.00171843 absolute error=0.0017184293
Sobol total index 0 =0.56386484 absolute error=0.0062759857
Sobol total index 1 =0.43789799 absolute error=0.0045131590
Sobol total index 2 =0.24631494 absolute error=0.0026312723
Sobol total index [0,1] =0.00176423 absolute error=0.0017642330
Sobol total index [0,2] =0.24587711 absolute error=0.0021934484
Sobol total index [1,2] =0.00215485 absolute error=0.0021548469
Sobol total index [0,1,2] =0.00171843 absolute error=0.0017184293
Sobol grouped index [0,1] =0.75368506 absolute error=0.0026312723
Sobol grouped index [0,2] =0.56210201 absolute error=0.0045131590
Sobol grouped index [1,2] =0.43613516 absolute error=0.0062759857
Sobol grouped index [0,1,2] =1.00000000 absolute error=0.0000000000
Sobol grouped total index [0,1,2] =1.00000000 absolute error=0.0000000000
Part of variance
1, 1, [1,0,0], 0.1968
2, 7, [0,2,0], 0.0244
3, 10, [3,0,0], 0.1188
4, 15, [1,0,2], 0.1444
6, 30, [0,4,0], 0.2713
7, 35, [5,0,0], 0.0023
8, 40, [3,0,2], 0.0833
11, 49, [1,0,4], 0.0164
15, 68, [2,2,2], 0.0015
17, 77, [0,6,0], 0.1395
FunctionalChaosSobolIndices
- input dimension=3
- output dimension=1
- basis size=21
- mean=[3.52114]
- std-dev=[3.69081]
| Index | Multi-index | Variance part |
|-------|---------------|---------------|
| 6 | [0,4,0] | 0.271326 |
| 1 | [1,0,0] | 0.19683 |
| 4 | [1,0,2] | 0.144447 |
| 17 | [0,6,0] | 0.139531 |
| 3 | [3,0,0] | 0.118849 |
| 8 | [3,0,2] | 0.0832571 |
| 2 | [0,2,0] | 0.0244348 |
| 11 | [1,0,4] | 0.0164067 |
| Input | Name | Sobol' index | Total index |
|-------|---------------|---------------|---------------|
| 0 | X1 | 0.317942 | 0.563865 |
| 1 | X2 | 0.435697 | 0.437898 |
| 2 | X3 | 1.40628e-06 | 0.246315 |
###################################
class=AdaptiveStrategy implementation=class=FixedStrategy derived from class=AdaptiveStrategyImplementation maximumDimension=84
ProjectionStrategyImplementation
- coefficients: dimension=84
- residual: 0.0241084
- relative error: 0.0105163
- measure: Distribution
- weighted experiment: WeightedExperiment
- input sample: size= 250 x dimension= 3
- output sample: size= 250 x dimension= 1
- weights: dimension= 250
- design: size= 250
residuals= [0.0241084]
relativeErrors= [0.0105163]
mean=3.45801565 absolute error=0.0419843459
variance=13.83830987 absolute error=0.0062780708
Sobol index 0 = 0.30611627 absolute error=0.0077889249
Sobol index 1 = 0.43754215 absolute error=0.0048689900
Sobol index 2 = 0.00129087 absolute error=0.0012908667
Sobol index [0,1] =0.00254496 absolute error=0.0025449599
Sobol index [0,2] =0.24156455 absolute error=0.0021191136
Sobol index [1,2] =0.00386170 absolute error=0.0038616988
Sobol index [0,1,2] =0.00707950 absolute error=0.0070795030
Sobol total index 0 =0.55730528 absolute error=0.0002835755
Sobol total index 1 =0.45102832 absolute error=0.0086171717
Sobol total index 2 =0.25379662 absolute error=0.0101129549
Sobol total index [0,1] =0.00962446 absolute error=0.0096244629
Sobol total index [0,2] =0.24864405 absolute error=0.0049603894
Sobol total index [1,2] =0.01094120 absolute error=0.0109412018
Sobol total index [0,1,2] =0.00707950 absolute error=0.0070795030
Sobol grouped index [0,1] =0.74620338 absolute error=0.0101129549
Sobol grouped index [0,2] =0.54897168 absolute error=0.0086171717
Sobol grouped index [1,2] =0.44269472 absolute error=0.0002835755
Sobol grouped index [0,1,2] =1.00000000 absolute error=0.0000000000
Sobol grouped total index [0,1,2] =1.00000000 absolute error=0.0000000000
Part of variance
1, 1, [1,0,0], 0.1734
7, 7, [0,2,0], 0.0308
10, 10, [3,0,0], 0.1288
11, 11, [2,1,0], 0.0011
12, 12, [2,0,1], 0.0011
15, 15, [1,0,2], 0.1355
20, 20, [4,0,0], 0.0011
22, 22, [3,0,1], 0.0012
27, 27, [1,2,1], 0.0015
28, 28, [1,1,2], 0.0015
30, 30, [0,4,0], 0.2740
33, 33, [0,1,3], 0.0013
35, 35, [5,0,0], 0.0011
40, 40, [3,0,2], 0.0791
49, 49, [1,0,4], 0.0200
56, 56, [6,0,0], 0.0012
77, 77, [0,6,0], 0.1320
FunctionalChaosSobolIndices
- input dimension=3
- output dimension=1
- basis size=84
- mean=[3.45802]
- std-dev=[3.71999]
| Index | Multi-index | Variance part |
|-------|---------------|---------------|
| 30 | [0,4,0] | 0.274045 |
| 1 | [1,0,0] | 0.17341 |
| 15 | [1,0,2] | 0.135465 |
| 77 | [0,6,0] | 0.131993 |
| 10 | [3,0,0] | 0.128841 |
| 40 | [3,0,2] | 0.0791251 |
| 7 | [0,2,0] | 0.0308467 |
| 49 | [1,0,4] | 0.0200327 |
| Input | Name | Sobol' index | Total index |
|-------|---------------|---------------|---------------|
| 0 | X1 | 0.306116 | 0.557305 |
| 1 | X2 | 0.437542 | 0.451028 |
| 2 | X3 | 0.00129087 | 0.253797 |
###################################
class=AdaptiveStrategy implementation=class=FixedStrategy derived from class=AdaptiveStrategyImplementation maximumDimension=84
ProjectionStrategyImplementation
- coefficients: dimension=84
- residual: 0.0248146
- relative error: 0.0115022
- measure: Distribution
- weighted experiment: WeightedExperiment
- input sample: size= 250 x dimension= 3
- output sample: size= 250 x dimension= 1
- weights: dimension= 250
- design: size= 250
residuals= [0.0248146]
relativeErrors= [0.0115022]
mean=3.48612447 absolute error=0.0138755275
variance=14.20287519 absolute error=0.3582872529
Sobol index 0 = 0.30217019 absolute error=0.0117349971
Sobol index 1 = 0.44116695 absolute error=0.0012441910
Sobol index 2 = 0.00453457 absolute error=0.0045345679
Sobol index [0,1] =0.00771703 absolute error=0.0077170275
Sobol index [0,2] =0.23077723 absolute error=0.0129064377
Sobol index [1,2] =0.00605848 absolute error=0.0060584783
Sobol index [0,1,2] =0.00757555 absolute error=0.0075755522
Sobol total index 0 =0.54824000 absolute error=0.0093488551
Sobol total index 1 =0.46251801 absolute error=0.0201068669
Sobol total index 2 =0.24894582 absolute error=0.0052621606
Sobol total index [0,1] =0.01529258 absolute error=0.0152925796
Sobol total index [0,2] =0.23835278 absolute error=0.0053308856
Sobol total index [1,2] =0.01363403 absolute error=0.0136340305
Sobol total index [0,1,2] =0.00757555 absolute error=0.0075755522
Sobol grouped index [0,1] =0.75105418 absolute error=0.0052621606
Sobol grouped index [0,2] =0.53748199 absolute error=0.0201068669
Sobol grouped index [1,2] =0.45176000 absolute error=0.0093488551
Sobol grouped index [0,1,2] =1.00000000 absolute error=0.0000000000
Sobol grouped total index [0,1,2] =1.00000000 absolute error=0.0000000000
Part of variance
1, 1, [1,0,0], 0.2018
3, 3, [0,0,1], 0.0019
7, 7, [0,2,0], 0.0289
10, 10, [3,0,0], 0.0974
15, 15, [1,0,2], 0.1304
18, 18, [0,1,2], 0.0015
19, 19, [0,0,3], 0.0015
24, 24, [2,1,1], 0.0014
25, 25, [2,0,2], 0.0012
26, 26, [1,3,0], 0.0028
27, 27, [1,2,1], 0.0014
30, 30, [0,4,0], 0.2794
35, 35, [5,0,0], 0.0021
40, 40, [3,0,2], 0.0750
49, 49, [1,0,4], 0.0215
57, 57, [5,1,0], 0.0012
77, 77, [0,6,0], 0.1327
FunctionalChaosSobolIndices
- input dimension=3
- output dimension=1
- basis size=84
- mean=[3.48612]
- std-dev=[3.76867]
| Index | Multi-index | Variance part |
|-------|---------------|---------------|
| 30 | [0,4,0] | 0.279403 |
| 1 | [1,0,0] | 0.201846 |
| 77 | [0,6,0] | 0.132715 |
| 15 | [1,0,2] | 0.130438 |
| 10 | [3,0,0] | 0.0973569 |
| 40 | [3,0,2] | 0.075033 |
| 7 | [0,2,0] | 0.0289148 |
| 49 | [1,0,4] | 0.0215178 |
| Input | Name | Sobol' index | Total index |
|-------|---------------|---------------|---------------|
| 0 | X1 | 0.30217 | 0.54824 |
| 1 | X2 | 0.441167 | 0.462518 |
| 2 | X3 | 0.00453457 | 0.248946 |
###################################
class=AdaptiveStrategy implementation=class=FixedStrategy derived from class=AdaptiveStrategyImplementation maximumDimension=84
ProjectionStrategyImplementation
- coefficients: dimension=84
- residual: 0.024718
- relative error: 0.0111528
- measure: Distribution
- weighted experiment: WeightedExperiment
- input sample: size= 250 x dimension= 3
- output sample: size= 250 x dimension= 1
- weights: dimension= 250
- design: size= 250
residuals= [0.024718]
relativeErrors= [0.0111528]
mean=3.52947075 absolute error=0.0294707509
variance=13.72885940 absolute error=0.1157285436
Sobol index 0 = 0.31135035 absolute error=0.0025548383
Sobol index 1 = 0.42587317 absolute error=0.0165379771
Sobol index 2 = 0.00040887 absolute error=0.0004088663
Sobol index [0,1] =0.00314638 absolute error=0.0031463799
Sobol index [0,2] =0.25121369 absolute error=0.0075300230
Sobol index [1,2] =0.00251830 absolute error=0.0025182974
Sobol index [0,1,2] =0.00548925 absolute error=0.0054892488
Sobol total index 0 =0.57119967 absolute error=0.0136108134
Sobol total index 1 =0.43702709 absolute error=0.0053840510
Sobol total index 2 =0.25963010 absolute error=0.0159464355
Sobol total index [0,1] =0.00863563 absolute error=0.0086356287
Sobol total index [0,2] =0.25670294 absolute error=0.0130192718
Sobol total index [1,2] =0.00800755 absolute error=0.0080075462
Sobol total index [0,1,2] =0.00548925 absolute error=0.0054892488
Sobol grouped index [0,1] =0.74036990 absolute error=0.0159464355
Sobol grouped index [0,2] =0.56297291 absolute error=0.0053840510
Sobol grouped index [1,2] =0.42880033 absolute error=0.0136108134
Sobol grouped index [0,1,2] =1.00000000 absolute error=0.0000000000
Sobol grouped total index [0,1,2] =1.00000000 absolute error=0.0000000000
Part of variance
1, 1, [1,0,0], 0.1916
7, 7, [0,2,0], 0.0213
10, 10, [3,0,0], 0.1177
15, 15, [1,0,2], 0.1461
24, 24, [2,1,1], 0.0011
30, 30, [0,4,0], 0.2512
35, 35, [5,0,0], 0.0020
40, 40, [3,0,2], 0.0816
49, 49, [1,0,4], 0.0217
68, 68, [2,2,2], 0.0011
77, 77, [0,6,0], 0.1523
FunctionalChaosSobolIndices
- input dimension=3
- output dimension=1
- basis size=84
- mean=[3.52947]
- std-dev=[3.70525]
| Index | Multi-index | Variance part |
|-------|---------------|---------------|
| 30 | [0,4,0] | 0.2512 |
| 1 | [1,0,0] | 0.191573 |
| 77 | [0,6,0] | 0.152284 |
| 15 | [1,0,2] | 0.146098 |
| 10 | [3,0,0] | 0.117742 |
| 40 | [3,0,2] | 0.0816243 |
| 49 | [1,0,4] | 0.0217042 |
| 7 | [0,2,0] | 0.0212958 |
| Input | Name | Sobol' index | Total index |
|-------|---------------|---------------|---------------|
| 0 | X1 | 0.31135 | 0.5712 |
| 1 | X2 | 0.425873 | 0.437027 |
| 2 | X3 | 0.000408866 | 0.25963 |
|