premise string | hypothesis string | label int64 |
|---|---|---|
| | Max | Ave | Min |
| --- | --- | --- | --- |
| Numberofnodes | 43,545 | 41,978 | 40,445 |
| Numberofedges | 84,451 | 82,790 | 80,923 |
| Diameter | 13 | 11 | 9 | | | Averageshortestpathlength | 8.31 | 5.97 | 4.71 |
| --- | --- | --- | --- |
| Numberofclusters | 223 | 148 | 103 | | 1 |
| | Max | Ave | Min |
| --- | --- | --- | --- |
| Numberofnodes | 43,545 | 41,978 | 40,445 |
| Numberofedges | 84,451 | 82,790 | 80,923 |
| Diameter | 13 | 11 | 9 | | | Size | Diameter | Average | Median | Localest. | Nr.ofconf. |
| --- | --- | --- | --- | --- | --- |
| 1×1 | 4 | 2.17 | 2 | 9 | 24 |
| 2×1 | 7 | 4.44 | 5 | 18 | 576 |
| 3×1 | 10 | 6.59 | 7 | 27 | 13824 |
| 4×1 | 12 | 8.59 | 9 | 36 | 331776 |
| 2×2 | 12 | 7.82 | 8 | 35 | 16588 |
| 5×1 | 15 | 10.69 | 11 | 45 | 7962624 |
| 6×1 | 17 | 12.65 | 13 | 54 | 191102976 |
| 3×2 | 14 | 10.54 | 11 | 52 | 47775744 | | 0 |
| | Max | Ave | Min |
| --- | --- | --- | --- |
| Numberofnodes | 43,545 | 41,978 | 40,445 |
| Numberofedges | 84,451 | 82,790 | 80,923 | | | Diameter | 13 | 11 | 9 |
| --- | --- | --- | --- |
| Averageshortestpathlength | 8.31 | 5.97 | 4.71 |
| Numberofclusters | 223 | 148 | 103 | | 1 |
| | Max | Ave | Min |
| --- | --- | --- | --- |
| Numberofnodes | 43,545 | 41,978 | 40,445 |
| Numberofedges | 84,451 | 82,790 | 80,923 | | | 3×1 | 10 | 6.59 | 7 | 27 | 13824 |
| --- | --- | --- | --- | --- | --- |
| 4×1 | 12 | 8.59 | 9 | 36 | 331776 |
| 2×2 | 12 | 7.82 | 8 | 35 | 16588 |
| 5×1 | 15 | 10.69 | 11 | 45 | 7962624 |
| 6×1 | 17 | 12.65 | 13 | 54 | 191102976 |
| 3×2 | 14 | 10.54 | 11 | 52 | 47775744 | | 0 |
| | FinancialCrisis | GreekDebtCrisis | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| systems | R-1 | R-2 | R-W | R-1 | R-2 | R-W |
| (L=2) | .382 | .079 | .142 | .366 | .064 | .136 |
| (L=3) | .386 | .078 | .144 | .370 | .062 | .136 |
| Centroid | .297 | .039 | .081 | .279 | .031 | .087 |
| GMDS | .286 | .044 | .088 | .288 | .033 | .081 |
| Chieu | .335 | .056 | .115 | .313 | .048 | .119 |
| ETTS | .340 | .054 | .120 | .327 | .044 | .120 |
| Random | .227 | .031 | .071 | .213 | .028 | .068 | | | | AmericanElection | ArabSpring | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| systems | R-1 | R-2 | R-W | R-1 | R-2 | R-W |
| (L=2) | .384 | .074 | .132 | .446 | .096 | .165 |
| (L=3) | .378 | .072 | .128 | .433 | .090 | .157 |
| Centriod | .285 | .038 | .094 | .332 | .048 | .098 |
| GMS | .306 | .044 | .095 | .341 | .054 | .109 |
| Chieu | .353 | .058 | .112 | .366 | .076 | .124 |
| ETTS | .359 | .062 | .117 | .379 | .075 | .132 |
| Random | .224 | .027 | .070 | .230 | .035 | .076 | | 1 |
| | FinancialCrisis | GreekDebtCrisis | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| systems | R-1 | R-2 | R-W | R-1 | R-2 | R-W |
| (L=2) | .382 | .079 | .142 | .366 | .064 | .136 |
| (L=3) | .386 | .078 | .144 | .370 | .062 | .136 |
| Centroid | .297 | .039 | .081 | .279 | .031 | .087 |
| GMDS | .286 | .044 | .088 | .288 | .033 | .081 |
| Chieu | .335 | .056 | .115 | .313 | .048 | .119 |
| ETTS | .340 | .054 | .120 | .327 | .044 | .120 |
| Random | .227 | .031 | .071 | .213 | .028 | .068 | | | | FinancialCrisis | GreekDebtCrisis | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| systems | R-1 | R-2 | R-W | R-1 | R-2 | R-W |
| (L=2) | .382 | .079 | .142 | .366 | .064 | .136 |
| (L=3) | .386 | .078 | .144 | .370 | .062 | .136 |
| (noBG) | .373 | .074 | .132 | .342 | .058 | .130 |
| HDT | .362 | .065 | .131 | .337 | .052 | .122 |
| t-HDP | .360 | .064 | .128 | .338 | .053 | .113 |
| HDP | .348 | .055 | .114 | .323 | .050 | .108 |
| D-LDA | .358 | .060 | .120 | .330 | .048 | .111 |
| LDA | .334 | .046 | .110 | .319 | .050 | .107 |
| | AmericanElection | ArabSpring | | | | |
| systems | R-1 | R-2 | R-W | R-1 | R-2 | R-W |
| (L=2) | .384 | .074 | .132 | .446 | .096 | .165 |
| (L=3) | .378 | .072 | .128 | .433 | .090 | .158 |
| (noBG) | .376 | .070 | .128 | .431 | .089 | .159 |
| HDT | .373 | .068 | .124 | .426 | .086 | .151 |
| t-HDP | .366 | .068 | .121 | .410 | .080 | .138 |
| HDP | .361 | .062 | .114 | .398 | .073 | .132 |
| D-LDA | .368 | .070 | .120 | .413 | .078 | .135 |
| LDA | .352 | .062 | .110 | .392 | .072 | .126 | | 0 |
| | FinancialCrisis | GreekDebtCrisis | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| systems | R-1 | R-2 | R-W | R-1 | R-2 | R-W | | | (L=2) | .382 | .079 | .142 | .366 | .064 | .136 |
| --- | --- | --- | --- | --- | --- | --- |
| (L=3) | .386 | .078 | .144 | .370 | .062 | .136 |
| Centroid | .297 | .039 | .081 | .279 | .031 | .087 |
| GMDS | .286 | .044 | .088 | .288 | .033 | .081 |
| Chieu | .335 | .056 | .115 | .313 | .048 | .119 |
| ETTS | .340 | .054 | .120 | .327 | .044 | .120 |
| Random | .227 | .031 | .071 | .213 | .028 | .068 |
| | AmericanElection | ArabSpring | | | | |
| systems | R-1 | R-2 | R-W | R-1 | R-2 | R-W |
| (L=2) | .384 | .074 | .132 | .446 | .096 | .165 |
| (L=3) | .378 | .072 | .128 | .433 | .090 | .157 |
| Centriod | .285 | .038 | .094 | .332 | .048 | .098 |
| GMS | .306 | .044 | .095 | .341 | .054 | .109 |
| Chieu | .353 | .058 | .112 | .366 | .076 | .124 |
| ETTS | .359 | .062 | .117 | .379 | .075 | .132 |
| Random | .224 | .027 | .070 | .230 | .035 | .076 | | 1 |
| | FinancialCrisis | GreekDebtCrisis | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| systems | R-1 | R-2 | R-W | R-1 | R-2 | R-W | | | (noBG) | .373 | .074 | .132 | .342 | .058 | .130 |
| --- | --- | --- | --- | --- | --- | --- |
| HDT | .362 | .065 | .131 | .337 | .052 | .122 |
| t-HDP | .360 | .064 | .128 | .338 | .053 | .113 |
| HDP | .348 | .055 | .114 | .323 | .050 | .108 |
| D-LDA | .358 | .060 | .120 | .330 | .048 | .111 |
| LDA | .334 | .046 | .110 | .319 | .050 | .107 |
| | AmericanElection | ArabSpring | | | | |
| systems | R-1 | R-2 | R-W | R-1 | R-2 | R-W |
| (L=2) | .384 | .074 | .132 | .446 | .096 | .165 |
| (L=3) | .378 | .072 | .128 | .433 | .090 | .158 |
| (noBG) | .376 | .070 | .128 | .431 | .089 | .159 |
| HDT | .373 | .068 | .124 | .426 | .086 | .151 |
| t-HDP | .366 | .068 | .121 | .410 | .080 | .138 |
| HDP | .361 | .062 | .114 | .398 | .073 | .132 |
| D-LDA | .368 | .070 | .120 | .413 | .078 | .135 |
| LDA | .352 | .062 | .110 | .392 | .072 | .126 | | 0 |
| #Methods | | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| DATASET | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | | englishdailabor | 49.90 | 65.68 | 68.26 | 66.38 | 67.09 | 68.68 | 66.70 | 69.68 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| aisoposntua | 41.90 | 59.21 | 57.78 | 61.56 | 59.99 | 58.13 | 59.78 | 65.21 |
| tweetsemevaltest | 39.54 | 56.31 | 61.51 | 61.65 | 62.06 | 62.94 | 62.26 | 62.64 |
| sentistrengthtwitter | 36.26 | 49.24 | 56.20 | 57.88 | 57.91 | 57.96 | 57.50 | 58.68 |
| sentistrengthyoutube | 38.14 | 50.01 | 54.98 | 56.56 | 57.13 | 55.83 | 55.45 | 56.93 |
| sentistrengthmyspace | 26.88 | 44.94 | 47.37 | 53.04 | 52.91 | 51.53 | 46.99 | 55.00 |
| sanders | 46.40 | 54.22 | 54.34 | 54.59 | 55.84 | 57.14 | 54.30 | 53.03 |
| sentistrengthdigg | 28.16 | 43.62 | 48.67 | 50.44 | 50.59 | 52.47 | 51.55 | 54.18 |
| sentistrengthrw | 30.47 | 42.60 | 50.37 | 48.30 | 49.55 | 48.61 | 47.39 | 47.30 |
| sentistrengthbbc | 21.92 | 35.79 | 45.35 | 47.15 | 48.41 | 49.45 | 47.34 | 45.72 |
| debate | 25.10 | 34.03 | 41.40 | 45.76 | 45.17 | 45.11 | 42.74 | 45.06 |
| nikolaosted | 24.42 | 34.82 | 41.32 | 42.44 | 46.19 | 44.11 | 44.80 | 42.56 |
| vadernyt | 9.38 | 19.64 | 30.27 | 34.97 | 37.42 | 36.83 | 36.98 | 37.97 | | 1 |
| #Methods | | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| DATASET | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | | #Concordants | | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| DATASET | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| englishdailabor | 69.58 | 69.18 | 69.23 | 68.50 | 66.91 | 64.81 | 59.58 | 60.75 |
| aisoposntua | 60.93 | 60.54 | 56.87 | 57.74 | 64.14 | 59.65 | 54.58 | 58.93 |
| tweetsemevaltest | 63.54 | 63.58 | 63.64 | 63.47 | 63.82 | 61.56 | 59.36 | 59.15 |
| sentistrengthtwitter | 56.75 | 58.32 | 59.13 | 58.34 | 57.58 | 55.35 | 54.27 | 57.44 |
| sentistrengthyoutube | 55.63 | 55.22 | 55.67 | 56.39 | 56.65 | 55.44 | 54.69 | 54.50 |
| sanders | 56.23 | 55.72 | 55.94 | 55.64 | 55.27 | 52.73 | 50.77 | 48.14 |
| sentistrengthdigg | 51.13 | 51.29 | 53.86 | 54.58 | 51.51 | 50.98 | 48.06 | 51.83 |
| sentistrengthmyspace | 46.76 | 48.30 | 48.71 | 50.31 | 50.52 | 51.02 | 54.34 | 39.44 |
| sentistrengthrw | 48.96 | 50.09 | 46.62 | 49.73 | 49.00 | 46.52 | 46.03 | 47.58 |
| sentistrengthbbc | 49.15 | 50.62 | 46.95 | 47.41 | 46.31 | 45.04 | 45.75 | 46.57 |
| debate | 45.61 | 45.82 | 43.69 | 43.97 | 44.47 | 44.99 | 43.57 | 43.10 |
| nikolaosted | 46.29 | 44.71 | 48.13 | 46.43 | 46.97 | 47.52 | 44.50 | 47.24 |
| vadernyt | 36.13 | 36.19 | 36.32 | 37.35 | 38.21 | 36.89 | 32.54 | 34.02 | | 0 |
| #Methods | | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| DATASET | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| englishdailabor | 49.90 | 65.68 | 68.26 | 66.38 | 67.09 | 68.68 | 66.70 | 69.68 |
| aisoposntua | 41.90 | 59.21 | 57.78 | 61.56 | 59.99 | 58.13 | 59.78 | 65.21 |
| tweetsemevaltest | 39.54 | 56.31 | 61.51 | 61.65 | 62.06 | 62.94 | 62.26 | 62.64 | | | sentistrengthtwitter | 36.26 | 49.24 | 56.20 | 57.88 | 57.91 | 57.96 | 57.50 | 58.68 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| sentistrengthyoutube | 38.14 | 50.01 | 54.98 | 56.56 | 57.13 | 55.83 | 55.45 | 56.93 |
| sentistrengthmyspace | 26.88 | 44.94 | 47.37 | 53.04 | 52.91 | 51.53 | 46.99 | 55.00 |
| sanders | 46.40 | 54.22 | 54.34 | 54.59 | 55.84 | 57.14 | 54.30 | 53.03 |
| sentistrengthdigg | 28.16 | 43.62 | 48.67 | 50.44 | 50.59 | 52.47 | 51.55 | 54.18 |
| sentistrengthrw | 30.47 | 42.60 | 50.37 | 48.30 | 49.55 | 48.61 | 47.39 | 47.30 |
| sentistrengthbbc | 21.92 | 35.79 | 45.35 | 47.15 | 48.41 | 49.45 | 47.34 | 45.72 |
| debate | 25.10 | 34.03 | 41.40 | 45.76 | 45.17 | 45.11 | 42.74 | 45.06 |
| nikolaosted | 24.42 | 34.82 | 41.32 | 42.44 | 46.19 | 44.11 | 44.80 | 42.56 |
| vadernyt | 9.38 | 19.64 | 30.27 | 34.97 | 37.42 | 36.83 | 36.98 | 37.97 | | 1 |
| #Methods | | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| DATASET | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| englishdailabor | 49.90 | 65.68 | 68.26 | 66.38 | 67.09 | 68.68 | 66.70 | 69.68 |
| aisoposntua | 41.90 | 59.21 | 57.78 | 61.56 | 59.99 | 58.13 | 59.78 | 65.21 |
| tweetsemevaltest | 39.54 | 56.31 | 61.51 | 61.65 | 62.06 | 62.94 | 62.26 | 62.64 | | | sentistrengthbbc | 49.15 | 50.62 | 46.95 | 47.41 | 46.31 | 45.04 | 45.75 | 46.57 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| debate | 45.61 | 45.82 | 43.69 | 43.97 | 44.47 | 44.99 | 43.57 | 43.10 |
| nikolaosted | 46.29 | 44.71 | 48.13 | 46.43 | 46.97 | 47.52 | 44.50 | 47.24 |
| vadernyt | 36.13 | 36.19 | 36.32 | 37.35 | 38.21 | 36.89 | 32.54 | 34.02 | | 0 |
| Dataset | #Nodes | #Edges | Ave.degree |
| --- | --- | --- | --- |
| Facebook | 4,039 | 88,234 | 43.69 | | | Enron | 33,696 | 180,811 | 10.73 |
| --- | --- | --- | --- |
| Epinions | 75,877 | 811,478 | 21.39 |
| Twitter | 41,652,230 | 1,202,513,046 | 57.74 | | 1 |
| Dataset | #Nodes | #Edges | Ave.degree |
| --- | --- | --- | --- |
| Facebook | 4,039 | 88,234 | 43.69 | | | Metric | Facebook | SmallTwitter | LargeTwitter |
| --- | --- | --- | --- |
| #Nodes | 43,953 | 8,167 | 41,652,230 |
| #Edges | 182,384 | 68,282 | 1,202,513,046 |
| Ave.degree | 8.29 | 16.72 | 57.74 |
| Ave.#attackedgeperSybil | 0.06 | 49.46 | 181.55 | | 0 |
| Dataset | #Nodes | #Edges | Ave.degree |
| --- | --- | --- | --- |
| Facebook | 4,039 | 88,234 | 43.69 | | | Enron | 33,696 | 180,811 | 10.73 |
| --- | --- | --- | --- |
| Epinions | 75,877 | 811,478 | 21.39 |
| Twitter | 41,652,230 | 1,202,513,046 | 57.74 | | 1 |
| Dataset | #Nodes | #Edges | Ave.degree |
| --- | --- | --- | --- |
| Facebook | 4,039 | 88,234 | 43.69 | | | Ave.degree | 8.29 | 16.72 | 57.74 |
| --- | --- | --- | --- |
| Ave.#attackedgeperSybil | 0.06 | 49.46 | 181.55 | | 0 |
| EigenvectorCentrality<br>Ranking# | NodeID |
| --- | --- |
| 1 | 577 | | | 2 | 580 |
| --- | --- |
| 3 | 575 |
| 4 | 822 |
| 5 | 702 |
| 6 | 706 |
| 7 | 546 |
| 8 | 578 |
| 9 | 170 |
| 10 | 90 | | 1 |
| EigenvectorCentrality<br>Ranking# | NodeID |
| --- | --- |
| 1 | 577 | | | EigenvectorCentrality<br>Ranking# | NodeID |
| --- | --- |
| 1 | 3 |
| 2 | 44 |
| 3 | 108 |
| 4 | 5 |
| 5 | 107 |
| 6 | 55 |
| 7 | 110 |
| 8 | 109 |
| 9 | 102 |
| 10 | 39 | | 0 |
| EigenvectorCentrality<br>Ranking# | NodeID |
| --- | --- |
| 1 | 577 |
| 2 | 580 |
| 3 | 575 |
| 4 | 822 |
| 5 | 702 |
| 6 | 706 | | | 7 | 546 |
| --- | --- |
| 8 | 578 |
| 9 | 170 |
| 10 | 90 | | 1 |
| EigenvectorCentrality<br>Ranking# | NodeID |
| --- | --- |
| 1 | 577 |
| 2 | 580 |
| 3 | 575 |
| 4 | 822 |
| 5 | 702 |
| 6 | 706 | | | 5 | 107 |
| --- | --- |
| 6 | 55 |
| 7 | 110 |
| 8 | 109 |
| 9 | 102 |
| 10 | 39 | | 0 |
| BootstrappingModel | Pearson(r) | Spearman(ρ) | RMSE |
| --- | --- | --- | --- |
| GoogleWord2Vec300d | 0.488 | 0.446 | 5.339 | | | GloVe50d | 0.475 | 0.427 | 5.308 |
| --- | --- | --- | --- |
| SSWE | 0.494 | 0.445 | 5.182 |
| ESWE | 0.521 | 0.481 | 5.194 |
| ECSWE | 0.538 | 0.499 | 5.033 | | 1 |
| BootstrappingModel | Pearson(r) | Spearman(ρ) | RMSE |
| --- | --- | --- | --- |
| GoogleWord2Vec300d | 0.488 | 0.446 | 5.339 | | | PNMM | | | | |
| --- | --- | --- | --- | --- |
| 5Endmembers | 8Endmembers | | | |
| Alg.(N)b | RMSE | RET(BS+HU) | RMSE | RET(BS+HU) |
| FCLS | 0.1966 | 1 | 0.1521 | 1 |
| SK-Hype | 0.1127 | 3744.9 | 0.0765 | 3672.2 |
| SK-Hype(10) | 0.1131 | 21.7(24.3) | 0.0827 | 21.5(24.4) |
| SK-Hype(100) | 0.1140 | 153.4(184.2) | 0.0771 | 140.3(170.8) |
| SK-Hype(300) | 0.1129 | 1764.3(1907.5) | 0.0765 | 1601.0(1743.7) |
| | GBM | | | |
| | 5Endmembers | 8Endmembers | | |
| FCLS | 0.0527 | 1 | 0.0390 | 1 |
| SK-Hype | 0.1090 | 3432.5 | 0.0745 | 3825.1 |
| SK-Hype(10) | 0.1053 | 20.8(23.6) | 0.0730 | 20.9(23.0) |
| SK-Hype(100) | 0.1105 | 142.2(171.5) | 0.0748 | 142.9(173.8) |
| SK-Hype(300) | 0.1093 | 1612.8(1735.2) | 0.0745 | 1637.8(1778.1) | | 0 |
| BootstrappingModel | Pearson(r) | Spearman(ρ) | RMSE |
| --- | --- | --- | --- |
| GoogleWord2Vec300d | 0.488 | 0.446 | 5.339 |
| GloVe50d | 0.475 | 0.427 | 5.308 | | | SSWE | 0.494 | 0.445 | 5.182 |
| --- | --- | --- | --- |
| ESWE | 0.521 | 0.481 | 5.194 |
| ECSWE | 0.538 | 0.499 | 5.033 | | 1 |
| BootstrappingModel | Pearson(r) | Spearman(ρ) | RMSE |
| --- | --- | --- | --- |
| GoogleWord2Vec300d | 0.488 | 0.446 | 5.339 |
| GloVe50d | 0.475 | 0.427 | 5.308 | | | SK-Hype(100) | 0.1105 | 142.2(171.5) | 0.0748 | 142.9(173.8) |
| --- | --- | --- | --- | --- |
| SK-Hype(300) | 0.1093 | 1612.8(1735.2) | 0.0745 | 1637.8(1778.1) | | 0 |
| Reference/System | PR | (P+R)/2F |
| --- | --- | --- |
| AverageIndividualParser<br>BestIndividualParser | 84.5580.91<br>89.6189.73 | 82.7382.69<br>89.6789.67 | | | ParserSwitchingOracle<br>MaximumPrecisionOracle | 93.9293.88<br>100.0096.66 | 93.9093.90<br>98.3398.30 |
| --- | --- | --- |
| SimilaritySwitching<br>BayesSwitching | 89.9090.89<br>90.9490.70 | 90.4090.39<br>90.8290.82 |
| ConstituentVoting<br>Na¨ıveBayes | 89.7891.80<br>92.4290.10 | 90.7990.78<br>91.2691.25 | | 1 |
| Reference/System | PR | (P+R)/2F |
| --- | --- | --- |
| AverageIndividualParser<br>BestIndividualParser | 84.5580.91<br>89.6189.73 | 82.7382.69<br>89.6789.67 | | | Reference/System | PR | (P+R)/2F |
| --- | --- | --- |
| AverageIndividualParser<br>BestIndividualParser | 87.6187.83<br>89.6189.73 | 87.7287.72<br>89.6789.67 |
| ParserSwitchingOracle<br>MaximumPrecisionOracle | 93.7893.87<br>100.0095.91 | 93.8293.82<br>97.9597.91 |
| SimilaritySwitching<br>BayesSwitching | 90.0490.81<br>90.7890.70 | 90.4390.43<br>90.7490.74 |
| ConstituentVoting<br>Na¨ıveBayes | 92.4290.10<br>92.4290.10 | 91.2691.25<br>91.2691.25 | | 0 |
| Reference/System | PR | (P+R)/2F |
| --- | --- | --- |
| AverageIndividualParser<br>BestIndividualParser | 84.5580.91<br>89.6189.73 | 82.7382.69<br>89.6789.67 |
| ParserSwitchingOracle<br>MaximumPrecisionOracle | 93.9293.88<br>100.0096.66 | 93.9093.90<br>98.3398.30 | | | SimilaritySwitching<br>BayesSwitching | 89.9090.89<br>90.9490.70 | 90.4090.39<br>90.8290.82 |
| --- | --- | --- |
| ConstituentVoting<br>Na¨ıveBayes | 89.7891.80<br>92.4290.10 | 90.7990.78<br>91.2691.25 | | 1 |
| Reference/System | PR | (P+R)/2F |
| --- | --- | --- |
| AverageIndividualParser<br>BestIndividualParser | 84.5580.91<br>89.6189.73 | 82.7382.69<br>89.6789.67 |
| ParserSwitchingOracle<br>MaximumPrecisionOracle | 93.9293.88<br>100.0096.66 | 93.9093.90<br>98.3398.30 | | | ParserSwitchingOracle<br>MaximumPrecisionOracle | 93.7893.87<br>100.0095.91 | 93.8293.82<br>97.9597.91 |
| --- | --- | --- |
| SimilaritySwitching<br>BayesSwitching | 90.0490.81<br>90.7890.70 | 90.4390.43<br>90.7490.74 |
| ConstituentVoting<br>Na¨ıveBayes | 92.4290.10<br>92.4290.10 | 91.2691.25<br>91.2691.25 | | 0 |
| OriginalQuery | Method | Top-1CandidateQuery | η(R,q) | λ(q,q)0 |
| --- | --- | --- | --- | --- |
| q.10 | OurApproach(α=2) | emergency,research,system | 0.4 | 0.88 | | | q.10 | OurApproach(α=16) | emergency,research,system | 0.4 | 0.88 |
| --- | --- | --- | --- | --- |
| q.10 | IntuitiveSolution | emergency,research,system | 0.4 | 0.88 |
| q.10 | XO-QP(NoDist) | pinch,breakdown,system | 0.6 | 0.94 |
| q.10 | XO-QP(Dist) | pinch,breakdown,system | 0.6 | 0.94 |
| q.70 | OurApproach(α=2) | online,content,exchange | 0.1 | 0.52 |
| q.70 | OurApproach(α=16) | online,faith,merchandising | 0.1 | 1 |
| q.70 | IntuitiveSolution | online,faith,merchandising | 0.1 | 1 |
| q.70 | XO-QP(NoDist) | online,faith,trading | 1 | 1 |
| q.70 | XO-QP(Dist) | online,faith,trading | 1 | 1 |
| q.80 | OurApproach(α=2) | impact,order,analysis,system | 0.1 | 0.69 |
| q.80 | OurApproach(α=16) | impact,order,analysis,system | 0.1 | 0.69 |
| q.80 | IntuitiveSolution | wake,variety,analysis,system | 0.1 | 0.94 |
| q.80 | XO-QP(NoDist) | wake,variety,analysis,system | 1 | 0.94 |
| q.80 | XO-QP(Dist) | wake,variety,analysis,system | 1 | 0.94 |
| q.100 | OurApproach(α=2) | whole,study,analysis,system | 0.1 | 0.24 |
| q.100 | OurApproach(α=16) | intruder,hunt,analysis,system | 0.1 | 1 |
| q.100 | IntuitiveSolution | intruder,hunt,analysis,system | 0.1 | 1 |
| q.100 | XO-QP(NoDist) | intruder,lookup,analysis,system | 0.3 | 1 |
| q.100 | XO-QP(Dist) | intruder,lookup,analysis,system | 0.3 | 1 |
| q.110 | OurApproach(α=2) | gesture,testing,system | 0.1 | 0.72 |
| q.110 | OurApproach(α=16) | gesture,testing,system | 0.1 | 0.72 |
| q.110 | IntuitiveSolution | hint,testing,system | 0.1 | 0.9 |
| q.110 | XO-QP(NoDist) | hint,search,system | 0.7 | 0.9 |
| q.110 | XO-QP(Dist) | hint,search,system | 0.7 | 0.9 | | 1 |
| OriginalQuery | Method | Top-1CandidateQuery | η(R,q) | λ(q,q)0 |
| --- | --- | --- | --- | --- |
| q.10 | OurApproach(α=2) | emergency,research,system | 0.4 | 0.88 | | | OriginalQuery | Method | Top-1CandidateQuery | η(R,q) | λ(q,q)0 |
| --- | --- | --- | --- | --- |
| q.40 | OurApproach(α=2) | blame,fight,drama,intruder | 0.1 | 0.94 |
| q.40 | OurApproach(α=16) | blame,fight,drama,intruder | 0.1 | 0.94 |
| q.40 | IntuitiveSolution | blame,fight,drama,intruder | 0.1 | 0.94 |
| q.40 | XO-QP(NoDist) | blame,fight,drama,squatter | 0.5 | 0.92 |
| q.40 | XO-QP(Dist) | blame,fight,drama,intruder | 0.3 | 0.94 |
| q.70 | OurApproach(α=2) | massacre,panic,betrayal | 0.2 | 0.87 |
| q.70 | OurApproach(α=16) | slaughter,treachery,revulsion | 0.1 | 1 |
| q.70 | IntuitiveSolution | slaughter,treachery,revulsion | 0.1 | 1 |
| q.70 | XO-QP(NoDist) | uxoricide,apprehension,betrayal | 0.1 | 0.8 |
| q.70 | XO-QP(Dist) | hit,panic,betrayal | 0.3 | 0.8 |
| q.90 | OurApproach(α=2) | call,betrayal,fear,english | 0.1 | 0.85 |
| q.90 | OurApproach(α=16) | fancy,treachery,fear,english | 0.1 | 1 |
| q.90 | IntuitiveSolution | fancy,treachery,fear,english | 0.1 | 1 |
| q.90 | XO-QP(NoDist) | bias,treachery,fear,english | 0.5 | 0.93 |
| q.90 | XO-QP(Dist) | tilt,betrayal,fear,english | 0.4 | 0.93 |
| q.100 | OurApproach(α=2) | murderer,extortion,blood | 0.3 | 0.76 |
| q.100 | OurApproach(α=16) | crook,extortion,desolation | 0.1 | 0.94 |
| q.100 | IntuitiveSolution | crook,extortion,desolation | 0.1 | 0.94 |
| q.100 | XO-QP(NoDist) | outlaw,extortion,desolation | 0.3 | 0.94 |
| q.100 | XO-QP(Dist) | outlaw,extortion,desolation | 0.3 | 0.94 |
| q.120 | OurApproach(α=2) | enthusiasm,drama,fight,triumph | 0.1 | 1 |
| q.120 | OurApproach(α=16) | enthusiasm,drama,fight,triumph | 0.1 | 1 |
| q.120 | IntuitiveSolution | enthusiasm,drama,fight,triumph | 0.1 | 1 |
| q.120 | XO-QP(NoDist) | madness,drama,fight,triumph | 0.6 | 0.94 |
| q.120 | XO-QP(Dist) | madness,drama,fight,win | 0.4 | 0.87 | | 0 |
| OriginalQuery | Method | Top-1CandidateQuery | η(R,q) | λ(q,q)0 |
| --- | --- | --- | --- | --- |
| q.10 | OurApproach(α=2) | emergency,research,system | 0.4 | 0.88 |
| q.10 | OurApproach(α=16) | emergency,research,system | 0.4 | 0.88 |
| q.10 | IntuitiveSolution | emergency,research,system | 0.4 | 0.88 |
| q.10 | XO-QP(NoDist) | pinch,breakdown,system | 0.6 | 0.94 |
| q.10 | XO-QP(Dist) | pinch,breakdown,system | 0.6 | 0.94 | | | q.70 | OurApproach(α=2) | online,content,exchange | 0.1 | 0.52 |
| --- | --- | --- | --- | --- |
| q.70 | OurApproach(α=16) | online,faith,merchandising | 0.1 | 1 |
| q.70 | IntuitiveSolution | online,faith,merchandising | 0.1 | 1 |
| q.70 | XO-QP(NoDist) | online,faith,trading | 1 | 1 |
| q.70 | XO-QP(Dist) | online,faith,trading | 1 | 1 |
| q.80 | OurApproach(α=2) | impact,order,analysis,system | 0.1 | 0.69 |
| q.80 | OurApproach(α=16) | impact,order,analysis,system | 0.1 | 0.69 |
| q.80 | IntuitiveSolution | wake,variety,analysis,system | 0.1 | 0.94 |
| q.80 | XO-QP(NoDist) | wake,variety,analysis,system | 1 | 0.94 |
| q.80 | XO-QP(Dist) | wake,variety,analysis,system | 1 | 0.94 |
| q.100 | OurApproach(α=2) | whole,study,analysis,system | 0.1 | 0.24 |
| q.100 | OurApproach(α=16) | intruder,hunt,analysis,system | 0.1 | 1 |
| q.100 | IntuitiveSolution | intruder,hunt,analysis,system | 0.1 | 1 |
| q.100 | XO-QP(NoDist) | intruder,lookup,analysis,system | 0.3 | 1 |
| q.100 | XO-QP(Dist) | intruder,lookup,analysis,system | 0.3 | 1 |
| q.110 | OurApproach(α=2) | gesture,testing,system | 0.1 | 0.72 |
| q.110 | OurApproach(α=16) | gesture,testing,system | 0.1 | 0.72 |
| q.110 | IntuitiveSolution | hint,testing,system | 0.1 | 0.9 |
| q.110 | XO-QP(NoDist) | hint,search,system | 0.7 | 0.9 |
| q.110 | XO-QP(Dist) | hint,search,system | 0.7 | 0.9 | | 1 |
| OriginalQuery | Method | Top-1CandidateQuery | η(R,q) | λ(q,q)0 |
| --- | --- | --- | --- | --- |
| q.10 | OurApproach(α=2) | emergency,research,system | 0.4 | 0.88 |
| q.10 | OurApproach(α=16) | emergency,research,system | 0.4 | 0.88 |
| q.10 | IntuitiveSolution | emergency,research,system | 0.4 | 0.88 |
| q.10 | XO-QP(NoDist) | pinch,breakdown,system | 0.6 | 0.94 |
| q.10 | XO-QP(Dist) | pinch,breakdown,system | 0.6 | 0.94 | | | q.100 | XO-QP(Dist) | outlaw,extortion,desolation | 0.3 | 0.94 |
| --- | --- | --- | --- | --- |
| q.120 | OurApproach(α=2) | enthusiasm,drama,fight,triumph | 0.1 | 1 |
| q.120 | OurApproach(α=16) | enthusiasm,drama,fight,triumph | 0.1 | 1 |
| q.120 | IntuitiveSolution | enthusiasm,drama,fight,triumph | 0.1 | 1 |
| q.120 | XO-QP(NoDist) | madness,drama,fight,triumph | 0.6 | 0.94 |
| q.120 | XO-QP(Dist) | madness,drama,fight,win | 0.4 | 0.87 | | 0 |
| | CH | SWB | | |
| --- | --- | --- | --- | --- |
| | ASR | Human | ASR | Human |
| sub | 6.5 | 4.1 | 3.3 | 2.6 |
| del | 3.3 | 6.5 | 1.8 | 2.7 | | | ins | 1.4 | 0.7 | 0.7 | 0.7 |
| --- | --- | --- | --- | --- |
| all | 11.1 | 11.3 | 5.9 | 5.9 | | 1 |
| | CH | SWB | | |
| --- | --- | --- | --- | --- |
| | ASR | Human | ASR | Human |
| sub | 6.5 | 4.1 | 3.3 | 2.6 |
| del | 3.3 | 6.5 | 1.8 | 2.7 | | | CH | SWB | | |
| --- | --- | --- | --- |
| ASR | Human | ASR | Human |
| 15:a | 10:i | 19:i | 12:i |
| 15:is | 9:and | 9:and | 11:and |
| 11:i | 8:a | 7:of | 9:you |
| 11:the | 8:that | 6:do | 8:is |
| 11:you | 8:the | 6:is | 6:they |
| 9:it | 7:have | 5:but | 5:do |
| 7:oh | 5:you | 5:yeah | 5:have |
| 6:and | 4:are | 4:air | 5:it |
| 6:in | 4:is | 4:in | 5:yeah |
| 6:know | 4:they | 4:you | 4:a | | 0 |
| | CH | SWB | | |
| --- | --- | --- | --- | --- |
| | ASR | Human | ASR | Human | | | sub | 6.5 | 4.1 | 3.3 | 2.6 |
| --- | --- | --- | --- | --- |
| del | 3.3 | 6.5 | 1.8 | 2.7 |
| ins | 1.4 | 0.7 | 0.7 | 0.7 |
| all | 11.1 | 11.3 | 5.9 | 5.9 | | 1 |
| | CH | SWB | | |
| --- | --- | --- | --- | --- |
| | ASR | Human | ASR | Human | | | 15:is | 9:and | 9:and | 11:and |
| --- | --- | --- | --- |
| 11:i | 8:a | 7:of | 9:you |
| 11:the | 8:that | 6:do | 8:is |
| 11:you | 8:the | 6:is | 6:they |
| 9:it | 7:have | 5:but | 5:do |
| 7:oh | 5:you | 5:yeah | 5:have |
| 6:and | 4:are | 4:air | 5:it |
| 6:in | 4:is | 4:in | 5:yeah |
| 6:know | 4:they | 4:you | 4:a | | 0 |
| Environment | Algorithm | nmin | nmax | navg | tmin | tmax | tavg |
| --- | --- | --- | --- | --- | --- | --- | --- |
| 2D-LocalMinima(figures??) | P-RRT*<br>RRT* | 9261<br>851206 | 10253<br>856121 | 9582<br>853781 | 1.73<br>55.3 | 1.92<br>55.9 | 1.85<br>55.5 |
| 2D-Cluttered(figures??) | P-RRT*<br>RRT* | 2874<br>- | 3411<br>- | 3042<br>- | 0.52<br>- | 0.66<br>- | 0.56<br>- |
| 2D-Maze(A)(figures??) | P-RRT*<br>RRT* | 150686<br>4005814 | 152782<br>4008126 | 151178<br>4007931 | 29.2<br>259 | 28.9<br>260 | 29.1<br>260 |
| 2D-Maze(B)(figures??) | P-RRT*<br>RRT* | 254714<br>- | 256921<br>- | 254982<br>- | 49.2<br>- | 49.7<br>- | 49.5<br>- |
| 3D-NarrowPassages(figures??) | P-RRT*<br>RRT* | 46419<br>163319 | 48726<br>168748 | 47981<br>165261 | 8.92<br>10.9 | 9.48<br>11.6 | 9.2<br>11.2 | | | 3D-MultipleBarriers(figures??) | P-RRT*<br>RRT* | 84528<br>1941263 | 91827<br>1978796 | 87496<br>1961825 | 16.3<br>127 | 17.6<br>129 | 16.8<br>127 |
| --- | --- | --- | --- | --- | --- | --- | --- |
| 3D-Maze(figures??) | P-RRT*<br>RRT* | 41380<br>843428 | 43861<br>849692 | 42931<br>846452 | 8.03<br>54.9 | 8.27<br>55.6 | 8.32<br>55.2 |
| Poineer3-DXrobot(figures??) | P-RRT*<br>RRT* | 10126<br>951672 | 11371<br>959165 | 10431<br>954827 | 1.91<br>62.3 | 2.13<br>63.4 | 1.93<br>62.9 | | 1 |
| Environment | Algorithm | nmin | nmax | navg | tmin | tmax | tavg |
| --- | --- | --- | --- | --- | --- | --- | --- |
| 2D-LocalMinima(figures??) | P-RRT*<br>RRT* | 9261<br>851206 | 10253<br>856121 | 9582<br>853781 | 1.73<br>55.3 | 1.92<br>55.9 | 1.85<br>55.5 |
| 2D-Cluttered(figures??) | P-RRT*<br>RRT* | 2874<br>- | 3411<br>- | 3042<br>- | 0.52<br>- | 0.66<br>- | 0.56<br>- |
| 2D-Maze(A)(figures??) | P-RRT*<br>RRT* | 150686<br>4005814 | 152782<br>4008126 | 151178<br>4007931 | 29.2<br>259 | 28.9<br>260 | 29.1<br>260 |
| 2D-Maze(B)(figures??) | P-RRT*<br>RRT* | 254714<br>- | 256921<br>- | 254982<br>- | 49.2<br>- | 49.7<br>- | 49.5<br>- |
| 3D-NarrowPassages(figures??) | P-RRT*<br>RRT* | 46419<br>163319 | 48726<br>168748 | 47981<br>165261 | 8.92<br>10.9 | 9.48<br>11.6 | 9.2<br>11.2 | | | | | | Qine | |
| --- | --- | --- | --- | --- |
| problem | ratio | Rsolver | 2B | 2B+ |
| Circle | 0.98<br>0.99<br>0.999 | 55.67<br>169.51<br>− | 0.90<br>2.32<br>69.18 | 1.03<br>2.22<br>31.55 |
| PathPoint | 0.6<br>0.65<br>0.7 | 122.72<br>334.34<br>− | 0.01<br>0.01<br>0.02 | 0.01<br>0.02<br>0.03 |
| Parabola | 0.96<br>0.97<br>0.98 | 48.33<br>130.30<br>− | 1.47<br>2.74<br>8.77 | 1.36<br>1.92<br>6.59 |
| Robot | 0.98<br>0.99<br>0.999 | 10.34<br>26.74<br>− | 0.06<br>0.14<br>5.37 | 0.08<br>0.18<br>4.08 |
| Satellite | 0.5<br>0.55<br>0.6 | 303.30<br>−<br>− | 71.36<br>168.32<br>227.09 | 114.33<br>268.36<br>368.90 |
| Robust1 | 0.999<br>0.9999<br>0.99999 | 1.10<br>7.16<br>76.25 | 0.01<br>0.04<br>0.10 | 0.00<br>0.00<br>0.00 |
| Robust4 | 0.5<br>0.55<br>0.6 | −<br>−<br>− | −<br>−<br>− | 0.00<br>0.01<br>0.01 |
| Robust5 | 0.7<br>0.75<br>0.8 | 75.35<br>80.62<br>− | 0.00<br>0.00<br>0.01 | 0.00<br>0.00<br>0.00 |
| Robust6 | 0.7<br>0.75<br>0.8 | 59.98<br>224.33<br>− | 0.02<br>0.05<br>0.09 | 0.00<br>0.00<br>0.00 | | 0 |
| Environment | Algorithm | nmin | nmax | navg | tmin | tmax | tavg |
| --- | --- | --- | --- | --- | --- | --- | --- |
| 2D-LocalMinima(figures??) | P-RRT*<br>RRT* | 9261<br>851206 | 10253<br>856121 | 9582<br>853781 | 1.73<br>55.3 | 1.92<br>55.9 | 1.85<br>55.5 |
| 2D-Cluttered(figures??) | P-RRT*<br>RRT* | 2874<br>- | 3411<br>- | 3042<br>- | 0.52<br>- | 0.66<br>- | 0.56<br>- |
| 2D-Maze(A)(figures??) | P-RRT*<br>RRT* | 150686<br>4005814 | 152782<br>4008126 | 151178<br>4007931 | 29.2<br>259 | 28.9<br>260 | 29.1<br>260 | | | 2D-Maze(B)(figures??) | P-RRT*<br>RRT* | 254714<br>- | 256921<br>- | 254982<br>- | 49.2<br>- | 49.7<br>- | 49.5<br>- |
| --- | --- | --- | --- | --- | --- | --- | --- |
| 3D-NarrowPassages(figures??) | P-RRT*<br>RRT* | 46419<br>163319 | 48726<br>168748 | 47981<br>165261 | 8.92<br>10.9 | 9.48<br>11.6 | 9.2<br>11.2 |
| 3D-MultipleBarriers(figures??) | P-RRT*<br>RRT* | 84528<br>1941263 | 91827<br>1978796 | 87496<br>1961825 | 16.3<br>127 | 17.6<br>129 | 16.8<br>127 |
| 3D-Maze(figures??) | P-RRT*<br>RRT* | 41380<br>843428 | 43861<br>849692 | 42931<br>846452 | 8.03<br>54.9 | 8.27<br>55.6 | 8.32<br>55.2 |
| Poineer3-DXrobot(figures??) | P-RRT*<br>RRT* | 10126<br>951672 | 11371<br>959165 | 10431<br>954827 | 1.91<br>62.3 | 2.13<br>63.4 | 1.93<br>62.9 | | 1 |
| Environment | Algorithm | nmin | nmax | navg | tmin | tmax | tavg |
| --- | --- | --- | --- | --- | --- | --- | --- |
| 2D-LocalMinima(figures??) | P-RRT*<br>RRT* | 9261<br>851206 | 10253<br>856121 | 9582<br>853781 | 1.73<br>55.3 | 1.92<br>55.9 | 1.85<br>55.5 |
| 2D-Cluttered(figures??) | P-RRT*<br>RRT* | 2874<br>- | 3411<br>- | 3042<br>- | 0.52<br>- | 0.66<br>- | 0.56<br>- |
| 2D-Maze(A)(figures??) | P-RRT*<br>RRT* | 150686<br>4005814 | 152782<br>4008126 | 151178<br>4007931 | 29.2<br>259 | 28.9<br>260 | 29.1<br>260 | | | PathPoint | 0.6<br>0.65<br>0.7 | 122.72<br>334.34<br>− | 0.01<br>0.01<br>0.02 | 0.01<br>0.02<br>0.03 |
| --- | --- | --- | --- | --- |
| Parabola | 0.96<br>0.97<br>0.98 | 48.33<br>130.30<br>− | 1.47<br>2.74<br>8.77 | 1.36<br>1.92<br>6.59 |
| Robot | 0.98<br>0.99<br>0.999 | 10.34<br>26.74<br>− | 0.06<br>0.14<br>5.37 | 0.08<br>0.18<br>4.08 |
| Satellite | 0.5<br>0.55<br>0.6 | 303.30<br>−<br>− | 71.36<br>168.32<br>227.09 | 114.33<br>268.36<br>368.90 |
| Robust1 | 0.999<br>0.9999<br>0.99999 | 1.10<br>7.16<br>76.25 | 0.01<br>0.04<br>0.10 | 0.00<br>0.00<br>0.00 |
| Robust4 | 0.5<br>0.55<br>0.6 | −<br>−<br>− | −<br>−<br>− | 0.00<br>0.01<br>0.01 |
| Robust5 | 0.7<br>0.75<br>0.8 | 75.35<br>80.62<br>− | 0.00<br>0.00<br>0.01 | 0.00<br>0.00<br>0.00 |
| Robust6 | 0.7<br>0.75<br>0.8 | 59.98<br>224.33<br>− | 0.02<br>0.05<br>0.09 | 0.00<br>0.00<br>0.00 | | 0 |
| | Basque | Czech | Danish | Dutch | Portuguese | Slovene | Swedish | Avg |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| Length:≤10 | | | | | | | | |
| DMV(EM) | 41.1 | 31.3 | 50.8 | 47.1 | 36.7 | 36.7 | 43.5 | 41.0 |
| DMV(Viterbi) | 47.1 | 27.1 | 39.1 | 37.1 | 32.3 | 23.7 | 42.6 | 35.5 |
| NeuralDMV(EM) | 46.5 | 33.1 | 55.6 | 49.0 | 30.4 | 42.2 | 44.3 | 43.0 |
| NeuralDMV(Viterbi) | 48.1 | 28.6 | 39.8 | 37.2 | 36.5 | 39.9 | 47.9 | 39.7 |
| Convex-MST(NoPrior) | 29.4 | 36.5 | 49.3 | 31.3 | 46.4 | 33.7 | 35.5 | 37.4 |
| Convex-MST(WithPrior) | 30.0 | 46.1 | 51.6 | 35.3 | 55.4 | 63.7 | 50.9 | 47.5 |
| CRFAE(NoPrior) | 49.0 | 33.9 | 28.8 | 39.3 | 47.6 | 34.7 | 51.3 | 40.6 |
| CRFAE(WithPrior) | 49.9 | 48.1 | 53.4 | 43.9 | 68.0 | 52.5 | 64.7 | 54.3 |
| Length:All | | | | | | | | |
| DMV(EM) | 31.2 | 28.1 | 40.3 | 44.2 | 23.5 | 25.2 | 32.0 | 32.0 |
| DMV(Viterbi) | 40.9 | 20.4 | 32.6 | 33.0 | 26.9 | 16.5 | 36.2 | 29.5 | | | NeuralDMV(EM) | 38.5 | 29.3 | 46.1 | 46.2 | 16.2 | 36.6 | 32.8 | 35.1 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| NeuralDMV(Viterbi) | 41.8 | 23.8 | 34.2 | 33.6 | 29.4 | 30.8 | 40.2 | 33.4 |
| Convex-MST(NoPrior) | 30.5 | 33.4 | 44.2 | 29.3 | 38.3 | 32.2 | 28.3 | 33.7 |
| Convex-MST(WithPrior) | 30.6 | 40.0 | 45.8 | 35.6 | 46.3 | 51.8 | 40.5 | 41.5 |
| CRFAE(NoPrior) | 39.8 | 25.4 | 24.2 | 35.2 | 52.2 | 26.4 | 40.0 | 34.7 |
| CRFAE(WithPrior) | 41.4 | 36.8 | 40.5 | 38.6 | 58.9 | 43.3 | 48.5 | 44.0 | | 1 |
| | Basque | Czech | Danish | Dutch | Portuguese | Slovene | Swedish | Avg |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| Length:≤10 | | | | | | | | |
| DMV(EM) | 41.1 | 31.3 | 50.8 | 47.1 | 36.7 | 36.7 | 43.5 | 41.0 |
| DMV(Viterbi) | 47.1 | 27.1 | 39.1 | 37.1 | 32.3 | 23.7 | 42.6 | 35.5 |
| NeuralDMV(EM) | 46.5 | 33.1 | 55.6 | 49.0 | 30.4 | 42.2 | 44.3 | 43.0 |
| NeuralDMV(Viterbi) | 48.1 | 28.6 | 39.8 | 37.2 | 36.5 | 39.9 | 47.9 | 39.7 |
| Convex-MST(NoPrior) | 29.4 | 36.5 | 49.3 | 31.3 | 46.4 | 33.7 | 35.5 | 37.4 |
| Convex-MST(WithPrior) | 30.0 | 46.1 | 51.6 | 35.3 | 55.4 | 63.7 | 50.9 | 47.5 |
| CRFAE(NoPrior) | 49.0 | 33.9 | 28.8 | 39.3 | 47.6 | 34.7 | 51.3 | 40.6 |
| CRFAE(WithPrior) | 49.9 | 48.1 | 53.4 | 43.9 | 68.0 | 52.5 | 64.7 | 54.3 |
| Length:All | | | | | | | | |
| DMV(EM) | 31.2 | 28.1 | 40.3 | 44.2 | 23.5 | 25.2 | 32.0 | 32.0 |
| DMV(Viterbi) | 40.9 | 20.4 | 32.6 | 33.0 | 26.9 | 16.5 | 36.2 | 29.5 | | | | CROATIAN | ENGLISH | | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| | CO | SIN | SHU | SYL | GR | CO | SIN | SHU | SYL | GR |
| N | 23359 | 23359 | 23359 | 2634 | 34 | 10930 | 10930 | 10930 | 2599 | 26 |
| K | 71860 | 70155 | 86214 | 18849 | 491 | 50299 | 52221 | 58920 | 6053 | 333 |
| L | 4.01 | 1.81 | 3.74 | 1.86 | 1.58 | 3.47 | 1.96 | 0.45 | 1.88 | 1.51 |
| C | 0.167 | 0.120 | 0.182 | 0.255 | 0.636 | 0.286 | 0.153 | 0.295 | 0.057 | 0.838 |
| T | 0.004 | 0.003 | 0.013 | 0.120 | 0.522 | 0.009 | 0.014 | 0.016 | 0.020 | 0.654 |
| ω | 2 | 2 | 2 | 17 | 1 | 3 | 3 | 1 | 54 | 1 | | 0 |
| | Basque | Czech | Danish | Dutch | Portuguese | Slovene | Swedish | Avg |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| Length:≤10 | | | | | | | | |
| DMV(EM) | 41.1 | 31.3 | 50.8 | 47.1 | 36.7 | 36.7 | 43.5 | 41.0 |
| DMV(Viterbi) | 47.1 | 27.1 | 39.1 | 37.1 | 32.3 | 23.7 | 42.6 | 35.5 |
| NeuralDMV(EM) | 46.5 | 33.1 | 55.6 | 49.0 | 30.4 | 42.2 | 44.3 | 43.0 |
| NeuralDMV(Viterbi) | 48.1 | 28.6 | 39.8 | 37.2 | 36.5 | 39.9 | 47.9 | 39.7 |
| Convex-MST(NoPrior) | 29.4 | 36.5 | 49.3 | 31.3 | 46.4 | 33.7 | 35.5 | 37.4 |
| Convex-MST(WithPrior) | 30.0 | 46.1 | 51.6 | 35.3 | 55.4 | 63.7 | 50.9 | 47.5 |
| CRFAE(NoPrior) | 49.0 | 33.9 | 28.8 | 39.3 | 47.6 | 34.7 | 51.3 | 40.6 |
| CRFAE(WithPrior) | 49.9 | 48.1 | 53.4 | 43.9 | 68.0 | 52.5 | 64.7 | 54.3 |
| Length:All | | | | | | | | |
| DMV(EM) | 31.2 | 28.1 | 40.3 | 44.2 | 23.5 | 25.2 | 32.0 | 32.0 |
| DMV(Viterbi) | 40.9 | 20.4 | 32.6 | 33.0 | 26.9 | 16.5 | 36.2 | 29.5 |
| NeuralDMV(EM) | 38.5 | 29.3 | 46.1 | 46.2 | 16.2 | 36.6 | 32.8 | 35.1 | | | NeuralDMV(Viterbi) | 41.8 | 23.8 | 34.2 | 33.6 | 29.4 | 30.8 | 40.2 | 33.4 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| Convex-MST(NoPrior) | 30.5 | 33.4 | 44.2 | 29.3 | 38.3 | 32.2 | 28.3 | 33.7 |
| Convex-MST(WithPrior) | 30.6 | 40.0 | 45.8 | 35.6 | 46.3 | 51.8 | 40.5 | 41.5 |
| CRFAE(NoPrior) | 39.8 | 25.4 | 24.2 | 35.2 | 52.2 | 26.4 | 40.0 | 34.7 |
| CRFAE(WithPrior) | 41.4 | 36.8 | 40.5 | 38.6 | 58.9 | 43.3 | 48.5 | 44.0 | | 1 |
| | Basque | Czech | Danish | Dutch | Portuguese | Slovene | Swedish | Avg |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| Length:≤10 | | | | | | | | |
| DMV(EM) | 41.1 | 31.3 | 50.8 | 47.1 | 36.7 | 36.7 | 43.5 | 41.0 |
| DMV(Viterbi) | 47.1 | 27.1 | 39.1 | 37.1 | 32.3 | 23.7 | 42.6 | 35.5 |
| NeuralDMV(EM) | 46.5 | 33.1 | 55.6 | 49.0 | 30.4 | 42.2 | 44.3 | 43.0 |
| NeuralDMV(Viterbi) | 48.1 | 28.6 | 39.8 | 37.2 | 36.5 | 39.9 | 47.9 | 39.7 |
| Convex-MST(NoPrior) | 29.4 | 36.5 | 49.3 | 31.3 | 46.4 | 33.7 | 35.5 | 37.4 |
| Convex-MST(WithPrior) | 30.0 | 46.1 | 51.6 | 35.3 | 55.4 | 63.7 | 50.9 | 47.5 |
| CRFAE(NoPrior) | 49.0 | 33.9 | 28.8 | 39.3 | 47.6 | 34.7 | 51.3 | 40.6 |
| CRFAE(WithPrior) | 49.9 | 48.1 | 53.4 | 43.9 | 68.0 | 52.5 | 64.7 | 54.3 |
| Length:All | | | | | | | | |
| DMV(EM) | 31.2 | 28.1 | 40.3 | 44.2 | 23.5 | 25.2 | 32.0 | 32.0 |
| DMV(Viterbi) | 40.9 | 20.4 | 32.6 | 33.0 | 26.9 | 16.5 | 36.2 | 29.5 |
| NeuralDMV(EM) | 38.5 | 29.3 | 46.1 | 46.2 | 16.2 | 36.6 | 32.8 | 35.1 | | | T | 0.004 | 0.003 | 0.013 | 0.120 | 0.522 | 0.009 | 0.014 | 0.016 | 0.020 | 0.654 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| ω | 2 | 2 | 2 | 17 | 1 | 3 | 3 | 1 | 54 | 1 | | 0 |
| Split | Base | Male | Female | M+Skin1 | M+Skin3 |
| --- | --- | --- | --- | --- | --- |
| 1 | 0.6847 | 0.6854 | 0.7591 | 0.6807 | 0.7424 |
| 2 | 0.682 | 0.6512 | 0.753 | 0.6334 | 0.728 | | | 3 | 0.6356 | 0.6675 | 0.6673 | 0.7044 | 0.6997 |
| --- | --- | --- | --- | --- | --- |
| 4 | 0.6716 | 0.6597 | 0.7197 | 0.7111 | 0.7325 |
| 5 | 0.5658 | 0.5706 | 0.6036 | 0.5999 | 0.6083 |
| 6 | 0.6633 | 0.6385 | 0.7586 | 0.651 | 0.738 |
| 7 | 0.6832 | 0.6931 | 0.6844 | 0.7266 | 0.8204 |
| 8 | 0.6534 | 0.706 | 0.5862 | 0.7242 | 0.7833 |
| 9 | 0.6157 | 0.6563 | 0.6405 | 0.7109 | 0.6677 |
| 10 | 0.6663 | 0.6783 | 0.6712 | 0.7133 | 0.7694 |
| Average | 0.65216 | 0.66066 | 0.68436 | 0.68555 | 0.72897 | | 1 |
| Split | Base | Male | Female | M+Skin1 | M+Skin3 |
| --- | --- | --- | --- | --- | --- |
| 1 | 0.6847 | 0.6854 | 0.7591 | 0.6807 | 0.7424 |
| 2 | 0.682 | 0.6512 | 0.753 | 0.6334 | 0.728 | | | Split | Base | Male | Female | M+Skin1 | M+Skin3 |
| --- | --- | --- | --- | --- | --- |
| 1 | 0.7281 | 0.7349 | 0.7542 | 0.7417 | 0.82 |
| 2 | 0.7134 | 0.6756 | 0.8364 | 0.7384 | 0.7728 |
| 3 | 0.6817 | 0.7025 | 0.7001 | 0.74 | 0.7336 |
| 4 | 0.7349 | 0.7309 | 0.7676 | 0.7633 | 0.7683 |
| 5 | 0.6066 | 0.6133 | 0.6418 | 0.6517 | 0.648 |
| 6 | 0.6756 | 0.6729 | 0.7577 | 0.7213 | 0.7524 |
| 7 | 0.7309 | 0.7651 | 0.7294 | 0.7513 | 0.816 |
| 8 | 0.6561 | 0.6875 | 0.616 | 0.7648 | 0.8001 |
| 9 | 0.6531 | 0.6845 | 0.7939 | 0.7391 | 0.7095 |
| 10 | 0.6645 | 0.6907 | 0.6875 | 0.7296 | 0.7504 |
| Average | 0.68449 | 0.69579 | 0.72846 | 0.73412 | 0.75711 | | 0 |
| Split | Base | Male | Female | M+Skin1 | M+Skin3 |
| --- | --- | --- | --- | --- | --- |
| 1 | 0.6847 | 0.6854 | 0.7591 | 0.6807 | 0.7424 |
| 2 | 0.682 | 0.6512 | 0.753 | 0.6334 | 0.728 |
| 3 | 0.6356 | 0.6675 | 0.6673 | 0.7044 | 0.6997 |
| 4 | 0.6716 | 0.6597 | 0.7197 | 0.7111 | 0.7325 |
| 5 | 0.5658 | 0.5706 | 0.6036 | 0.5999 | 0.6083 |
| 6 | 0.6633 | 0.6385 | 0.7586 | 0.651 | 0.738 | | | 7 | 0.6832 | 0.6931 | 0.6844 | 0.7266 | 0.8204 |
| --- | --- | --- | --- | --- | --- |
| 8 | 0.6534 | 0.706 | 0.5862 | 0.7242 | 0.7833 |
| 9 | 0.6157 | 0.6563 | 0.6405 | 0.7109 | 0.6677 |
| 10 | 0.6663 | 0.6783 | 0.6712 | 0.7133 | 0.7694 |
| Average | 0.65216 | 0.66066 | 0.68436 | 0.68555 | 0.72897 | | 1 |
| Split | Base | Male | Female | M+Skin1 | M+Skin3 |
| --- | --- | --- | --- | --- | --- |
| 1 | 0.6847 | 0.6854 | 0.7591 | 0.6807 | 0.7424 |
| 2 | 0.682 | 0.6512 | 0.753 | 0.6334 | 0.728 |
| 3 | 0.6356 | 0.6675 | 0.6673 | 0.7044 | 0.6997 |
| 4 | 0.6716 | 0.6597 | 0.7197 | 0.7111 | 0.7325 |
| 5 | 0.5658 | 0.5706 | 0.6036 | 0.5999 | 0.6083 |
| 6 | 0.6633 | 0.6385 | 0.7586 | 0.651 | 0.738 | | | 6 | 0.6756 | 0.6729 | 0.7577 | 0.7213 | 0.7524 |
| --- | --- | --- | --- | --- | --- |
| 7 | 0.7309 | 0.7651 | 0.7294 | 0.7513 | 0.816 |
| 8 | 0.6561 | 0.6875 | 0.616 | 0.7648 | 0.8001 |
| 9 | 0.6531 | 0.6845 | 0.7939 | 0.7391 | 0.7095 |
| 10 | 0.6645 | 0.6907 | 0.6875 | 0.7296 | 0.7504 |
| Average | 0.68449 | 0.69579 | 0.72846 | 0.73412 | 0.75711 | | 0 |
| Architecture | ImageSize | CP | CI | Speedup | memoryCI |
| --- | --- | --- | --- | --- | --- |
| Simo-Serraetal. | 72x48 | 1.25s | 0.099s | 12.6times | 348MB |
| Simo-Serraetal. | 360x240 | 28.42s | 0.103s | 275times | 1142MB |
| Simo-Serraetal. | 720x480 | 112.76s | 0.116s | 972times | 3448MB | | | Simo-Serraetal. | 1080x720 | 252.97s | 0.117s | 1550times | 7222MB |
| --- | --- | --- | --- | --- | --- |
| Zagoruykoetal.(SiameseL)2 | 1080x720 | 223.55s | 0.127s | 1760times | 11495MB |
| Baileretal.(fastarch) | 864x576 | 363.45s | 0.113s | 3216times | 9850MB | | 1 |
| Architecture | ImageSize | CP | CI | Speedup | memoryCI |
| --- | --- | --- | --- | --- | --- |
| Simo-Serraetal. | 72x48 | 1.25s | 0.099s | 12.6times | 348MB |
| Simo-Serraetal. | 360x240 | 28.42s | 0.103s | 275times | 1142MB |
| Simo-Serraetal. | 720x480 | 112.76s | 0.116s | 972times | 3448MB | | | Method | Size | Oxf5k | Oxf105k | Paris6k |
| --- | --- | --- | --- | --- |
| TEmb | 1024 | 56.0 | 50.2 | - |
| NetVLAD | 4096 | 71.6 | - | 79.7 |
| MAC | 512 | 58.3 | 49.2 | 72.6 |
| R-MAC | 512 | 66.9 | 61.6 | 83.0 |
| CroW | 512 | 68.2 | 63.2 | 79.7 |
| MAC* | 512 | 80.0 | 75.1 | 82.9 |
| SUMPool | 512 | 79.5 | 75.0 | 81.3 |
| SIAM-FV | 512 | 81.5 | 76.6 | 82.4 | | 0 |
| Architecture | ImageSize | CP | CI | Speedup | memoryCI |
| --- | --- | --- | --- | --- | --- |
| Simo-Serraetal. | 72x48 | 1.25s | 0.099s | 12.6times | 348MB |
| Simo-Serraetal. | 360x240 | 28.42s | 0.103s | 275times | 1142MB | | | Simo-Serraetal. | 720x480 | 112.76s | 0.116s | 972times | 3448MB |
| --- | --- | --- | --- | --- | --- |
| Simo-Serraetal. | 1080x720 | 252.97s | 0.117s | 1550times | 7222MB |
| Zagoruykoetal.(SiameseL)2 | 1080x720 | 223.55s | 0.127s | 1760times | 11495MB |
| Baileretal.(fastarch) | 864x576 | 363.45s | 0.113s | 3216times | 9850MB | | 1 |
| Architecture | ImageSize | CP | CI | Speedup | memoryCI |
| --- | --- | --- | --- | --- | --- |
| Simo-Serraetal. | 72x48 | 1.25s | 0.099s | 12.6times | 348MB |
| Simo-Serraetal. | 360x240 | 28.42s | 0.103s | 275times | 1142MB | | | MAC | 512 | 58.3 | 49.2 | 72.6 |
| --- | --- | --- | --- | --- |
| R-MAC | 512 | 66.9 | 61.6 | 83.0 |
| CroW | 512 | 68.2 | 63.2 | 79.7 |
| MAC* | 512 | 80.0 | 75.1 | 82.9 |
| SUMPool | 512 | 79.5 | 75.0 | 81.3 |
| SIAM-FV | 512 | 81.5 | 76.6 | 82.4 | | 0 |
| Method | MAE | MSE |
| --- | --- | --- |
| Gaussianprocessregression | 2.24 | 7.97 |
| Ridgeregression | 2.25 | 7.82 |
| Cumulativeattributeregression | 2.07 | 6.90 |
| Densitymap+MESA | 1.70 | - |
| Countforest | 1.60 | 4.40 |
| CrowdCNN | 1.60 | 3.31 |
| Multi-columnCNN | 1.07 | 1.35 | | | HydraCNN | 1.65 | - |
| --- | --- | --- |
| CNNboosting | 1.10 | - |
| ConvLSTM-nt | 1.73 | 3.52 |
| ConvLSTM | 1.30 | 1.79 |
| BidirectionalConvLSTM | 1.13 | 1.43 | | 1 |
| Method | MAE | MSE |
| --- | --- | --- |
| Gaussianprocessregression | 2.24 | 7.97 |
| Ridgeregression | 2.25 | 7.82 |
| Cumulativeattributeregression | 2.07 | 6.90 |
| Densitymap+MESA | 1.70 | - |
| Countforest | 1.60 | 4.40 |
| CrowdCNN | 1.60 | 3.31 |
| Multi-columnCNN | 1.07 | 1.35 | | | Method | MAE | MSE |
| --- | --- | --- |
| Gaussianprocessregression | 3.72 | 20.1 |
| Ridgeregression | 3.59 | 19.0 |
| Cumulativeattributeregression | 3.43 | 17.7 |
| Countforest | 2.50 | 10.0 |
| ConvLSTM-nt | 2.53 | 11.2 |
| ConvLSTM | 2.24 | 8.5 |
| BidirectionalConvLSTM | 2.10 | 7.6 | | 0 |
| Method | MAE | MSE |
| --- | --- | --- |
| Gaussianprocessregression | 2.24 | 7.97 |
| Ridgeregression | 2.25 | 7.82 |
| Cumulativeattributeregression | 2.07 | 6.90 |
| Densitymap+MESA | 1.70 | - |
| Countforest | 1.60 | 4.40 |
| CrowdCNN | 1.60 | 3.31 |
| Multi-columnCNN | 1.07 | 1.35 |
| HydraCNN | 1.65 | - | | | CNNboosting | 1.10 | - |
| --- | --- | --- |
| ConvLSTM-nt | 1.73 | 3.52 |
| ConvLSTM | 1.30 | 1.79 |
| BidirectionalConvLSTM | 1.13 | 1.43 | | 1 |
| Method | MAE | MSE |
| --- | --- | --- |
| Gaussianprocessregression | 2.24 | 7.97 |
| Ridgeregression | 2.25 | 7.82 |
| Cumulativeattributeregression | 2.07 | 6.90 |
| Densitymap+MESA | 1.70 | - |
| Countforest | 1.60 | 4.40 |
| CrowdCNN | 1.60 | 3.31 |
| Multi-columnCNN | 1.07 | 1.35 |
| HydraCNN | 1.65 | - | | | Countforest | 2.50 | 10.0 |
| --- | --- | --- |
| ConvLSTM-nt | 2.53 | 11.2 |
| ConvLSTM | 2.24 | 8.5 |
| BidirectionalConvLSTM | 2.10 | 7.6 | | 0 |
| Notations | Meaning |
| --- | --- |
| ui | iuserinsystem |
| pi | passwordofiuser | | | Wi | tupleofpasswordsstoredforui |
| --- | --- |
| k | numberofelementsinWi |
| ci | indexofcorrectpasswordinWi |
| sweetword | eachelementofWi | | 1 |
| Notations | Meaning |
| --- | --- |
| ui | iuserinsystem |
| pi | passwordofiuser | | | | Top10Features |
| --- | --- |
| 1 | Location(State) |
| 2 | NumberofSpecialCharacters |
| 3 | LongestCommonSubstring |
| 4 | NumberofUniqueTokens |
| 5 | TimeDifference |
| 6 | IfPostedonSameDay |
| 7 | PresenceofEthnicity |
| 8 | PresenceofRate |
| 9 | PresenceofRestrictions |
| 10 | PresenceofNames | | 0 |
| Notations | Meaning |
| --- | --- |
| ui | iuserinsystem |
| pi | passwordofiuser |
| Wi | tupleofpasswordsstoredforui | | | k | numberofelementsinWi |
| --- | --- |
| ci | indexofcorrectpasswordinWi |
| sweetword | eachelementofWi | | 1 |
| Notations | Meaning |
| --- | --- |
| ui | iuserinsystem |
| pi | passwordofiuser |
| Wi | tupleofpasswordsstoredforui | | | 5 | TimeDifference |
| --- | --- |
| 6 | IfPostedonSameDay |
| 7 | PresenceofEthnicity |
| 8 | PresenceofRate |
| 9 | PresenceofRestrictions |
| 10 | PresenceofNames | | 0 |
| σ | ReLD | PCP-LD | NCRPCA-LD | GRASTA-LD |
| --- | --- | --- | --- | --- |
| 25 | 33.84,29.98(335.97) | 33.38,29.17(413.45) | 28.99,27.54(507.03) | 29.37,16.12(435.54) | | | 30 | 33.01,29.79(338.51) | 32.49,28.72(406.45) | 27.63,27.63(510.39) | 28.16,12.53(405.53) |
| --- | --- | --- | --- | --- |
| 50 | 30.48,28.86(333.26) | 29.79,26.83(399.09) | 23.74,23.29(544.60) | 22.17,11.27(417.50) |
| 70 | 27.39,27.77(321.71) | 26.80,25.06(386.60) | 20.95,20.88(589.22) | 13.92,9.78(411.87) | | 1 |
| σ | ReLD | PCP-LD | NCRPCA-LD | GRASTA-LD |
| --- | --- | --- | --- | --- |
| 25 | 33.84,29.98(335.97) | 33.38,29.17(413.45) | 28.99,27.54(507.03) | 29.37,16.12(435.54) | | | σ | ReLD | PCP-LD | NCRPCA-LD | GRASTA-LD |
| --- | --- | --- | --- | --- |
| 25 | 35.00,32.78(73.54) | 34.92,32.84(198.87) | 33.34,31.98(101.78) | 30.45,28.11(59.43) |
| 30 | 34.51,32.68(73.33) | 34.42,32.60(185.47) | 32.53,31.56(106.30) | 29.40,26.89(58.76) |
| 50 | 33.08,32.27(73.14) | 32.93,31.65(195.77) | 30.48,30.09(128.35) | 25.33,23.97(58.23) |
| 70 | 29.25,31.79(69.77) | 29.17,30.67(197.94) | 27.97,29.63(133.53) | 21.89,21.81(55.45) | | 0 |
| σ | ReLD | PCP-LD | NCRPCA-LD | GRASTA-LD |
| --- | --- | --- | --- | --- |
| 25 | 33.84,29.98(335.97) | 33.38,29.17(413.45) | 28.99,27.54(507.03) | 29.37,16.12(435.54) |
| 30 | 33.01,29.79(338.51) | 32.49,28.72(406.45) | 27.63,27.63(510.39) | 28.16,12.53(405.53) | | | 50 | 30.48,28.86(333.26) | 29.79,26.83(399.09) | 23.74,23.29(544.60) | 22.17,11.27(417.50) |
| --- | --- | --- | --- | --- |
| 70 | 27.39,27.77(321.71) | 26.80,25.06(386.60) | 20.95,20.88(589.22) | 13.92,9.78(411.87) | | 1 |
| σ | ReLD | PCP-LD | NCRPCA-LD | GRASTA-LD |
| --- | --- | --- | --- | --- |
| 25 | 33.84,29.98(335.97) | 33.38,29.17(413.45) | 28.99,27.54(507.03) | 29.37,16.12(435.54) |
| 30 | 33.01,29.79(338.51) | 32.49,28.72(406.45) | 27.63,27.63(510.39) | 28.16,12.53(405.53) | | | 50 | 33.08,32.27(73.14) | 32.93,31.65(195.77) | 30.48,30.09(128.35) | 25.33,23.97(58.23) |
| --- | --- | --- | --- | --- |
| 70 | 29.25,31.79(69.77) | 29.17,30.67(197.94) | 27.97,29.63(133.53) | 21.89,21.81(55.45) | | 0 |
| Type | Feature | InformationGain | |
| --- | --- | --- | --- |
| Anonymous | Identifiable | | |
| Numeric | #offriends | 0.015026 | 0.04283 |
| #offollowers | 0.009373 | 0.04705 | |
| followers-to-friendsratio | 0.000822 | 0.00468 | |
| #ofuserlistmemberships | 0.002298 | 0.02168 | |
| #oftweets | 0.005205 | 0.02584 | |
| #offavoritetweets | 0.016624 | 0.0166 | |
| numberofparts/wordsinthenamestring | 0.033509 | 0.19704 | |
| popularityrankofoccurringfirstnameinthe<br>namelist | 0.156569 | 0.23648 | |
| popularityrankofoccurringlastnameinthe<br>namelist | 0.062874 | 0.2413 | |
| #ofScrabblewordspresentinthename | 0.023888 | 0.06242 | |
| wordfrequencyrankofoccurringfirstnameinthe<br>Scrabblelist | 0.040174 | 0.06794 | | | | wordfrequencyrankofoccurringlastnamein<br>Scrabblelist | 0.033384 | 0.07316 | |
| --- | --- | --- | --- |
| Boolean | enabledprotectedprivacyfeature | 0.00023 | 0.00129 |
| enabledgeo-taggingfortweets | 0.002429 | 0.00105 | |
| includesaurlintheprofile | 0.091024 | 0.00821 | |
| namefollowsstructuralconstraints | 0.044985 | 0.185 | | | 1 |
| Type | Feature | InformationGain | |
| --- | --- | --- | --- |
| Anonymous | Identifiable | | |
| Numeric | #offriends | 0.015026 | 0.04283 |
| #offollowers | 0.009373 | 0.04705 | |
| followers-to-friendsratio | 0.000822 | 0.00468 | |
| #ofuserlistmemberships | 0.002298 | 0.02168 | |
| #oftweets | 0.005205 | 0.02584 | |
| #offavoritetweets | 0.016624 | 0.0166 | |
| numberofparts/wordsinthenamestring | 0.033509 | 0.19704 | |
| popularityrankofoccurringfirstnameinthe<br>namelist | 0.156569 | 0.23648 | |
| popularityrankofoccurringlastnameinthe<br>namelist | 0.062874 | 0.2413 | |
| #ofScrabblewordspresentinthename | 0.023888 | 0.06242 | |
| wordfrequencyrankofoccurringfirstnameinthe<br>Scrabblelist | 0.040174 | 0.06794 | | | | | Individualusersgroup |
| --- | --- |
| Totalnumberoftweets | 119,376 |
| Totalnumberofuniqueaccounts | 80,537 |
| Totalnumberoftokens | 1,837,304 |
| Averagenumberoftokenspertweet | 15.391 |
| Totalnumberofuniquetokens | 103,089 |
| Averagenumberofuniquetokenspertweet | 0.864 |
| Uniquetokens:tokensratio | 0.056 |
| Numberofhapaxlegomena | 69,542 |
| Averagenumberofhapaxlegomenapertweet | 0.583 | | 0 |
| Type | Feature | InformationGain | |
| --- | --- | --- | --- |
| Anonymous | Identifiable | | |
| Numeric | #offriends | 0.015026 | 0.04283 |
| #offollowers | 0.009373 | 0.04705 | |
| followers-to-friendsratio | 0.000822 | 0.00468 | |
| #ofuserlistmemberships | 0.002298 | 0.02168 | |
| #oftweets | 0.005205 | 0.02584 | |
| #offavoritetweets | 0.016624 | 0.0166 | |
| numberofparts/wordsinthenamestring | 0.033509 | 0.19704 | |
| popularityrankofoccurringfirstnameinthe<br>namelist | 0.156569 | 0.23648 | |
| popularityrankofoccurringlastnameinthe<br>namelist | 0.062874 | 0.2413 | |
| #ofScrabblewordspresentinthename | 0.023888 | 0.06242 | |
| wordfrequencyrankofoccurringfirstnameinthe<br>Scrabblelist | 0.040174 | 0.06794 | | | | wordfrequencyrankofoccurringlastnamein<br>Scrabblelist | 0.033384 | 0.07316 | |
| --- | --- | --- | --- |
| Boolean | enabledprotectedprivacyfeature | 0.00023 | 0.00129 |
| enabledgeo-taggingfortweets | 0.002429 | 0.00105 | |
| includesaurlintheprofile | 0.091024 | 0.00821 | |
| namefollowsstructuralconstraints | 0.044985 | 0.185 | | | 1 |
| Type | Feature | InformationGain | |
| --- | --- | --- | --- |
| Anonymous | Identifiable | | |
| Numeric | #offriends | 0.015026 | 0.04283 |
| #offollowers | 0.009373 | 0.04705 | |
| followers-to-friendsratio | 0.000822 | 0.00468 | |
| #ofuserlistmemberships | 0.002298 | 0.02168 | |
| #oftweets | 0.005205 | 0.02584 | |
| #offavoritetweets | 0.016624 | 0.0166 | |
| numberofparts/wordsinthenamestring | 0.033509 | 0.19704 | |
| popularityrankofoccurringfirstnameinthe<br>namelist | 0.156569 | 0.23648 | |
| popularityrankofoccurringlastnameinthe<br>namelist | 0.062874 | 0.2413 | |
| #ofScrabblewordspresentinthename | 0.023888 | 0.06242 | |
| wordfrequencyrankofoccurringfirstnameinthe<br>Scrabblelist | 0.040174 | 0.06794 | | | | Averagenumberoftokenspertweet | 15.391 |
| --- | --- |
| Totalnumberofuniquetokens | 103,089 |
| Averagenumberofuniquetokenspertweet | 0.864 |
| Uniquetokens:tokensratio | 0.056 |
| Numberofhapaxlegomena | 69,542 |
| Averagenumberofhapaxlegomenapertweet | 0.583 | | 0 |
| | ClassSim | | | | |
| --- | --- | --- | --- | --- | --- |
| bay | beach:0.626 | ocean:0.320 | city:0.301 | beach:6588 | mountain:6951 |
| beach | bay:0.626 | ocean:0.245 | mountain:0.114 | bay:6588 | mountain:6909 |
| birds | ocean:0.045 | face:0.037 | sunset:0.028 | helicopter:5656 | f-16:6490 | | | boeing | f-16:0.258 | helicopter:0.153 | ocean:0.067 | f-16:3438 | clouds:3525 |
| --- | --- | --- | --- | --- | --- |
| buildings | city:0.656 | ships:0.092 | bay:0.069 | city:9624 | bay:9813 |
| city | buildings:0.656 | bay:0.301 | ships:0.097 | ocean:8576 | bay:8679 |
| clouds | sky:0.787 | ocean:0.260 | sunset:0.128 | f-16:3421 | boeing:3525 |
| face | ocean:0.051 | sunrise:0.040 | birds:0.037 | f-16:7768 | helicopter:7849 |
| f-16 | boeing:0.258 | helicopter:0.188 | ships:0.126 | clouds:3421 | boeing:3438 |
| helicopter | f-16:0.188 | boeing:0.153 | ships:0.098 | f-16:4682 | boeing:4918 |
| mountain | bay:0.188 | beach:0.114 | ocean:0.093 | beach:6909 | bay:6951 |
| sky | clouds:0.787 | sunset:0.317 | sunrise:0.302 | clouds:6609 | f-16:7161 |
| ships | f-16:0.126 | ocean:0.108 | helicopter:0.098 | helicopter:7506 | birds:7520 |
| sunset | sunrise:0.902 | sky:0.317 | ocean:0.163 | f-16:5253 | boeing:5365 |
| sunrise | sunset:0.902 | sky:0.302 | ocean:0.157 | f-16:5885 | boeing:6028 |
| ocean | bay:0.320 | sky:0.271 | clouds:0.260 | bay:7270 | beach:8070 | | 1 |
| | ClassSim | | | | |
| --- | --- | --- | --- | --- | --- |
| bay | beach:0.626 | ocean:0.320 | city:0.301 | beach:6588 | mountain:6951 |
| beach | bay:0.626 | ocean:0.245 | mountain:0.114 | bay:6588 | mountain:6909 |
| birds | ocean:0.045 | face:0.037 | sunset:0.028 | helicopter:5656 | f-16:6490 | | | | ClassSim(OVR) | | | | |
| --- | --- | --- | --- | --- | --- |
| bay | beach:0.626 | ocean:0.320 | city:0.301 | beach:0.246 | city:0.123 |
| beach | bay:0.626 | ocean:0.245 | mountain:0.114 | bay:0.246 | ocean:0.040 |
| birds | ocean:0.045 | face:0.037 | sunset:0.028 | face:0.011 | ocean:0.009 |
| boeing | f-16:0.258 | helicopter:0.153 | ocean:0.067 | f-16:0.040 | sky:0.005 |
| buildings | city:0.656 | ships:0.092 | bay:0.069 | city:0.122 | bay:0.044 |
| city | buildings:0.656 | bay:0.301 | ships:0.097 | bay:0.123 | buildings:0.122 |
| clouds | sky:0.787 | ocean:0.260 | sunset:0.128 | sky:0.248 | ocean:0.041 |
| face | ocean:0.051 | sunrise:0.040 | birds:0.037 | ocean:0.012 | birds:0.011 |
| f-16 | boeing:0.258 | helicopter:0.188 | ships:0.126 | boeing:0.040 | helicopter:0.038 |
| helicopter | f-16:0.188 | boeing:0.153 | ships:0.098 | f-16:0.038 | ships:0.025 |
| mountain | bay:0.188 | beach:0.114 | ocean:0.093 | bay:0.093 | clouds:0.021 |
| sky | clouds:0.787 | sunset:0.317 | sunrise:0.302 | clouds:0.248 | sunset:0.106 |
| ships | f-16:0.126 | ocean:0.108 | helicopter:0.098 | bay:0.061 | helicopter:0.025 |
| sunset | sunrise:0.902 | sky:0.317 | ocean:0.163 | sunrise:0.353 | sky:0.106 |
| sunrise | sunset:0.902 | sky:0.302 | ocean:0.157 | sunset:0.353 | sky:0.057 |
| ocean | bay:0.320 | sky:0.271 | clouds:0.260 | bay:0.087 | clouds:0.041 | | 0 |
| | ClassSim | | | | |
| --- | --- | --- | --- | --- | --- |
| bay | beach:0.626 | ocean:0.320 | city:0.301 | beach:6588 | mountain:6951 |
| beach | bay:0.626 | ocean:0.245 | mountain:0.114 | bay:6588 | mountain:6909 |
| birds | ocean:0.045 | face:0.037 | sunset:0.028 | helicopter:5656 | f-16:6490 | | | boeing | f-16:0.258 | helicopter:0.153 | ocean:0.067 | f-16:3438 | clouds:3525 |
| --- | --- | --- | --- | --- | --- |
| buildings | city:0.656 | ships:0.092 | bay:0.069 | city:9624 | bay:9813 |
| city | buildings:0.656 | bay:0.301 | ships:0.097 | ocean:8576 | bay:8679 |
| clouds | sky:0.787 | ocean:0.260 | sunset:0.128 | f-16:3421 | boeing:3525 |
| face | ocean:0.051 | sunrise:0.040 | birds:0.037 | f-16:7768 | helicopter:7849 |
| f-16 | boeing:0.258 | helicopter:0.188 | ships:0.126 | clouds:3421 | boeing:3438 |
| helicopter | f-16:0.188 | boeing:0.153 | ships:0.098 | f-16:4682 | boeing:4918 |
| mountain | bay:0.188 | beach:0.114 | ocean:0.093 | beach:6909 | bay:6951 |
| sky | clouds:0.787 | sunset:0.317 | sunrise:0.302 | clouds:6609 | f-16:7161 |
| ships | f-16:0.126 | ocean:0.108 | helicopter:0.098 | helicopter:7506 | birds:7520 |
| sunset | sunrise:0.902 | sky:0.317 | ocean:0.163 | f-16:5253 | boeing:5365 |
| sunrise | sunset:0.902 | sky:0.302 | ocean:0.157 | f-16:5885 | boeing:6028 |
| ocean | bay:0.320 | sky:0.271 | clouds:0.260 | bay:7270 | beach:8070 | | 1 |
| | ClassSim | | | | |
| --- | --- | --- | --- | --- | --- |
| bay | beach:0.626 | ocean:0.320 | city:0.301 | beach:6588 | mountain:6951 |
| beach | bay:0.626 | ocean:0.245 | mountain:0.114 | bay:6588 | mountain:6909 |
| birds | ocean:0.045 | face:0.037 | sunset:0.028 | helicopter:5656 | f-16:6490 | | | ships | f-16:0.126 | ocean:0.108 | helicopter:0.098 | bay:0.061 | helicopter:0.025 |
| --- | --- | --- | --- | --- | --- |
| sunset | sunrise:0.902 | sky:0.317 | ocean:0.163 | sunrise:0.353 | sky:0.106 |
| sunrise | sunset:0.902 | sky:0.302 | ocean:0.157 | sunset:0.353 | sky:0.057 |
| ocean | bay:0.320 | sky:0.271 | clouds:0.260 | bay:0.087 | clouds:0.041 | | 0 |
| Step | Time(sec) |
| --- | --- |
| Fourier-BesselsPCA | 537.7 | | | RotationallyInvariantFeatures | 28.2 |
| --- | --- |
| InitialNearestNeighborSearch | 13.9 |
| VDMClassification | 57.4 |
| LocalAlignmentandClassAverage | 1081 |
| Total | 1718.3(28.6min) | | 1 |
| Step | Time(sec) |
| --- | --- |
| Fourier-BesselsPCA | 537.7 | | | Steps | Time(sec) |
| --- | --- |
| Precomputation | 7 |
| NUFFTandFourier-BesselExpansion | 1,438 |
| SteerablePCA | 42 |
| Total | 1487 | | 0 |
| Step | Time(sec) |
| --- | --- |
| Fourier-BesselsPCA | 537.7 |
| RotationallyInvariantFeatures | 28.2 |
| InitialNearestNeighborSearch | 13.9 |
| VDMClassification | 57.4 | | | LocalAlignmentandClassAverage | 1081 |
| --- | --- |
| Total | 1718.3(28.6min) | | 1 |
| Step | Time(sec) |
| --- | --- |
| Fourier-BesselsPCA | 537.7 |
| RotationallyInvariantFeatures | 28.2 |
| InitialNearestNeighborSearch | 13.9 |
| VDMClassification | 57.4 | | | NUFFTandFourier-BesselExpansion | 1,438 |
| --- | --- |
| SteerablePCA | 42 |
| Total | 1487 | | 0 |
| Type | Name | Timecomplexity | Reference |
| --- | --- | --- | --- |
| Local | CommonNeighborscount | O(vd) | |
| Adamic–Adarscore | O(vd) | | |
| Resource–allocationindex | O(vd) | | |
| Adaptivedegreepenalizationscore | O(vd) | | |
| Jaccardscore | O(vd) | | |
| Leicht-Holme-Newmanscore | O(vd) | | | | | Saltonscore | O(vd) | | |
| --- | --- | --- | --- |
| Sorensenscore | O(vd) | | |
| Hubpromotedindex | O(vd) | | |
| hubdepressedindex | O(vd) | | |
| Preferentialattachmentscore | O(vd) | | |
| Global | Katzindex | O(v) | |
| Leicht-Holme-Newmanscore | O(cvd) | | |
| Randomwalk | O(cvd) | | |
| Randomwalkwithrestart | O(cvd) | | |
| Flowpropagation | O(cvd) | | |
| PseudoinverseLaplacianscore | O(v) | | |
| Averagecommutetimescore | O(v) | | |
| Randomforestkernelindex | O(v) | | | | 1 |
| Type | Name | Timecomplexity | Reference |
| --- | --- | --- | --- |
| Local | CommonNeighborscount | O(vd) | |
| Adamic–Adarscore | O(vd) | | |
| Resource–allocationindex | O(vd) | | |
| Adaptivedegreepenalizationscore | O(vd) | | |
| Jaccardscore | O(vd) | | |
| Leicht-Holme-Newmanscore | O(vd) | | | | | Parameter | Code | ValueforO2 | ValueforTexas |
| --- | --- | --- | --- |
| Systemclass | SYSCLASS | Pageserver | Centralized |
| Networkthroughput | NETTHRU | +∞ | N/A |
| Diskpagesize | PGSIZE | 4096bytes | 4096bytes |
| Buffersize | BUFFSIZE | 3840pages | 3275pages |
| Bufferpagereplacementstrategy | PGREP | LRU | LRU |
| Prefetchingpolicy | PREFETCH | None | None |
| Objectclusteringpolicy | CLUSTP | None | DSTC |
| Objectsinitialplacement | INITPL | OptimizedSequential | OptimizedSequential |
| Disksearchtime | DISKSEA | 6.3ms | 7.4ms |
| Disklatencytime | DISKLAT | 2.99ms | 4.3ms |
| Disktransfertime | DISKTRA | 0.7ms | 0.5ms |
| Multiprogramminglevel | MULTILVL | 10 | 1 |
| Locksacquisitiontime | GETLOCK | 0.5ms | 0 |
| Locksreleasetime | RELLOCK | 0.5ms | 0 |
| Numberofusers | NUSERS | 1 | 1 | | 0 |
| Type | Name | Timecomplexity | Reference |
| --- | --- | --- | --- |
| Local | CommonNeighborscount | O(vd) | |
| Adamic–Adarscore | O(vd) | | |
| Resource–allocationindex | O(vd) | | |
| Adaptivedegreepenalizationscore | O(vd) | | |
| Jaccardscore | O(vd) | | |
| Leicht-Holme-Newmanscore | O(vd) | | |
| Saltonscore | O(vd) | | |
| Sorensenscore | O(vd) | | |
| Hubpromotedindex | O(vd) | | |
| hubdepressedindex | O(vd) | | |
| Preferentialattachmentscore | O(vd) | | | | | Global | Katzindex | O(v) | |
| --- | --- | --- | --- |
| Leicht-Holme-Newmanscore | O(cvd) | | |
| Randomwalk | O(cvd) | | |
| Randomwalkwithrestart | O(cvd) | | |
| Flowpropagation | O(cvd) | | |
| PseudoinverseLaplacianscore | O(v) | | |
| Averagecommutetimescore | O(v) | | |
| Randomforestkernelindex | O(v) | | | | 1 |
| Type | Name | Timecomplexity | Reference |
| --- | --- | --- | --- |
| Local | CommonNeighborscount | O(vd) | |
| Adamic–Adarscore | O(vd) | | |
| Resource–allocationindex | O(vd) | | |
| Adaptivedegreepenalizationscore | O(vd) | | |
| Jaccardscore | O(vd) | | |
| Leicht-Holme-Newmanscore | O(vd) | | |
| Saltonscore | O(vd) | | |
| Sorensenscore | O(vd) | | |
| Hubpromotedindex | O(vd) | | |
| hubdepressedindex | O(vd) | | |
| Preferentialattachmentscore | O(vd) | | | | | Locksreleasetime | RELLOCK | 0.5ms | 0 |
| --- | --- | --- | --- |
| Numberofusers | NUSERS | 1 | 1 | | 0 |
| Model | Figure | NetFABB | MeshMixer | ours |
| --- | --- | --- | --- | --- |
| Kleinbottle | ??(f) | 5 | 3 | 5 |
| PrincetonLamp | ??(g) | 2 | 2 | 4 |
| RandomTriangles | ??(e) | 1 | 3 | 4 | | | DarthVader | ?? | 2 | 3 | 4 |
| --- | --- | --- | --- | --- |
| HagiaSophia | ??(a) | 1 | 2 | 4 | | 1 |
| Model | Figure | NetFABB | MeshMixer | ours |
| --- | --- | --- | --- | --- |
| Kleinbottle | ??(f) | 5 | 3 | 5 |
| PrincetonLamp | ??(g) | 2 | 2 | 4 |
| RandomTriangles | ??(e) | 1 | 3 | 4 | | | Property | Humanoid | Atlas | T-Rex | Dragon |
| --- | --- | --- | --- | --- |
| Links | 13 | 12 | 20 | 32 |
| TotalMass(kg) | 45 | 169.8 | 54.5 | 72.5 |
| Height(m) | 1.62 | 1.82 | 1.66 | 1.83 |
| DegreesofFreedom | 34 | 31 | 55 | 79 |
| StateFeatures | 197 | 184 | 262 | 418 |
| ActionParameters | 36 | 32 | 64 | 94 | | 0 |
| Model | Figure | NetFABB | MeshMixer | ours |
| --- | --- | --- | --- | --- |
| Kleinbottle | ??(f) | 5 | 3 | 5 | | | PrincetonLamp | ??(g) | 2 | 2 | 4 |
| --- | --- | --- | --- | --- |
| RandomTriangles | ??(e) | 1 | 3 | 4 |
| DarthVader | ?? | 2 | 3 | 4 |
| HagiaSophia | ??(a) | 1 | 2 | 4 | | 1 |
| Model | Figure | NetFABB | MeshMixer | ours |
| --- | --- | --- | --- | --- |
| Kleinbottle | ??(f) | 5 | 3 | 5 | | | TotalMass(kg) | 45 | 169.8 | 54.5 | 72.5 |
| --- | --- | --- | --- | --- |
| Height(m) | 1.62 | 1.82 | 1.66 | 1.83 |
| DegreesofFreedom | 34 | 31 | 55 | 79 |
| StateFeatures | 197 | 184 | 262 | 418 |
| ActionParameters | 36 | 32 | 64 | 94 | | 0 |
| | m≡0(mod3) | m≡1(mod3) | m≡2(mod3) |
| --- | --- | --- | --- |
| 36(0,0) | p-17-20A | p-17-8A+6B | p-17-8A-6B |
| 36(0,1) | p-5+4A+18B | p-5+4A+12B | p-5+4A+6B |
| 36(0,2) | p-5+4A+6B | p-5+4A-6B | p-5-8A |
| 36(0,3) | p-5+4A | p-5+4A-6B | p-5+4A+6B |
| 36(0,4) | p-5+4A-6B | p-5-8A | p-5+4A+6B |
| 36(0,5) | p-5+4A-18B | p-5+4A-6B | p-5+4A-12B |
| 36(1,2) | p+1-2A | p+1-2A-6B | p+1-2A+6B |
| 36(1,3) | p+1-2A | p+1-2A-6B | p+1-2A-12B | | | 36(1,4) | p+1-2A | p+1-2A+12B | p+1-2A+6B |
| --- | --- | --- | --- |
| 36(2,4) | p+1-2A | p+1+10A+6B | p+1+10A-6B | | 1 |
| | m≡0(mod3) | m≡1(mod3) | m≡2(mod3) |
| --- | --- | --- | --- |
| 36(0,0) | p-17-20A | p-17-8A+6B | p-17-8A-6B |
| 36(0,1) | p-5+4A+18B | p-5+4A+12B | p-5+4A+6B |
| 36(0,2) | p-5+4A+6B | p-5+4A-6B | p-5-8A |
| 36(0,3) | p-5+4A | p-5+4A-6B | p-5+4A+6B |
| 36(0,4) | p-5+4A-6B | p-5-8A | p-5+4A+6B |
| 36(0,5) | p-5+4A-18B | p-5+4A-6B | p-5+4A-12B |
| 36(1,2) | p+1-2A | p+1-2A-6B | p+1-2A+6B |
| 36(1,3) | p+1-2A | p+1-2A-6B | p+1-2A-12B | | | l | pl | tl | pk+tk=kl1l2l+2 |
| --- | --- | --- | --- |
| 1 | 1 | −4 | 1×1019−4×239=63 |
| 2 | −3 | 13 | −3×1019+13×239=50 |
| 3 | 4 | −17 | 4×1019−17×239=13 |
| 4 | −15 | 64 | −15×1019+64×239=11 |
| 5 | 19 | −81 | 19×1019−81×239=2 |
| 6 | −110 | 469 | −110×1019+469×239=1 | | 0 |
| | m≡0(mod3) | m≡1(mod3) | m≡2(mod3) |
| --- | --- | --- | --- |
| 36(0,0) | p-17-20A | p-17-8A+6B | p-17-8A-6B |
| 36(0,1) | p-5+4A+18B | p-5+4A+12B | p-5+4A+6B |
| 36(0,2) | p-5+4A+6B | p-5+4A-6B | p-5-8A | | | 36(0,3) | p-5+4A | p-5+4A-6B | p-5+4A+6B |
| --- | --- | --- | --- |
| 36(0,4) | p-5+4A-6B | p-5-8A | p-5+4A+6B |
| 36(0,5) | p-5+4A-18B | p-5+4A-6B | p-5+4A-12B |
| 36(1,2) | p+1-2A | p+1-2A-6B | p+1-2A+6B |
| 36(1,3) | p+1-2A | p+1-2A-6B | p+1-2A-12B |
| 36(1,4) | p+1-2A | p+1-2A+12B | p+1-2A+6B |
| 36(2,4) | p+1-2A | p+1+10A+6B | p+1+10A-6B | | 1 |
| | m≡0(mod3) | m≡1(mod3) | m≡2(mod3) |
| --- | --- | --- | --- |
| 36(0,0) | p-17-20A | p-17-8A+6B | p-17-8A-6B |
| 36(0,1) | p-5+4A+18B | p-5+4A+12B | p-5+4A+6B |
| 36(0,2) | p-5+4A+6B | p-5+4A-6B | p-5-8A | | | 4 | −15 | 64 | −15×1019+64×239=11 |
| --- | --- | --- | --- |
| 5 | 19 | −81 | 19×1019−81×239=2 |
| 6 | −110 | 469 | −110×1019+469×239=1 | | 0 |
| Objecttype | X-Coordinate | Y-Coordinate |
| --- | --- | --- |
| A1 | 2.5 | 4.5 |
| A2 | 6 | 4 | | | A3 | 2 | 9 |
| --- | --- | --- |
| B1 | 1.5 | 3.5 |
| B2 | 5 | 3 |
| B3 | 5 | 4 |
| C1 | 2.5 | 3 |
| C2 | 6 | 3 |
| D1 | 3 | 9 |
| D2 | 7 | 1.5 | | 1 |
| Objecttype | X-Coordinate | Y-Coordinate |
| --- | --- | --- |
| A1 | 2.5 | 4.5 |
| A2 | 6 | 4 | | | YTO | | | | |
| --- | --- | --- | --- | --- |
| Y | A→Y | V→Y | V | A→V |
| 40.6 | 40.8 | 45.8 | 57.5 | 58.1 |
| 39.8 | 40.3 | 38.8 | 29.8 | 30.5 |
| 33.3 | 33.4 | 38.8 | 28.0 | 27.9 |
| 34.1 | 33.9 | 33.6 | 39.1 | 39.1 |
| 35.3 | 35.3 | 38.8 | 59.0 | 59.3 |
| 18.9 | 19.0 | 27.7 | 36.7 | 36.9 |
| 27.0 | 27.1 | 26.7 | 46.5 | 47.4 |
| 21.9 | 22.1 | 26.1 | 53.2 | 53.5 |
| 17.6 | 17.9 | 17.5 | 55.6 | 55.2 |
| 32.6 | 32.6 | 36.2 | 54.7 | 54.5 |
| 30.1 | 30.2 | 33.0 | 46.0 | 46.2 | | 0 |
| Objecttype | X-Coordinate | Y-Coordinate |
| --- | --- | --- |
| A1 | 2.5 | 4.5 |
| A2 | 6 | 4 |
| A3 | 2 | 9 |
| B1 | 1.5 | 3.5 | | | B2 | 5 | 3 |
| --- | --- | --- |
| B3 | 5 | 4 |
| C1 | 2.5 | 3 |
| C2 | 6 | 3 |
| D1 | 3 | 9 |
| D2 | 7 | 1.5 | | 1 |
| Objecttype | X-Coordinate | Y-Coordinate |
| --- | --- | --- |
| A1 | 2.5 | 4.5 |
| A2 | 6 | 4 |
| A3 | 2 | 9 |
| B1 | 1.5 | 3.5 | | | 18.9 | 19.0 | 27.7 | 36.7 | 36.9 |
| --- | --- | --- | --- | --- |
| 27.0 | 27.1 | 26.7 | 46.5 | 47.4 |
| 21.9 | 22.1 | 26.1 | 53.2 | 53.5 |
| 17.6 | 17.9 | 17.5 | 55.6 | 55.2 |
| 32.6 | 32.6 | 36.2 | 54.7 | 54.5 |
| 30.1 | 30.2 | 33.0 | 46.0 | 46.2 | | 0 |
| G2<br>G1 | R3 | vRq443 | qRv341 | P3 | P4 | Q |
| --- | --- | --- | --- | --- | --- | --- |
| R1 | 1 | 2a | 2b | 3 | 4 | 5 |
| vRp221 | 6a | 7a | 7c | 8a | 9a | 10a |
| pRv123 | 6b | 7b | 7d | 8b | 9b | 10b | | | P1 | 11 | 12 | 12 | 13 | 14 | 15 |
| --- | --- | --- | --- | --- | --- | --- |
| P2 | 16 | 17a | 17b | 18 | 19 | 20 |
| P | 21 | 22a | 22b | 23 | 24 | 25 | | 1 |
| G2<br>G1 | R3 | vRq443 | qRv341 | P3 | P4 | Q |
| --- | --- | --- | --- | --- | --- | --- |
| R1 | 1 | 2a | 2b | 3 | 4 | 5 |
| vRp221 | 6a | 7a | 7c | 8a | 9a | 10a |
| pRv123 | 6b | 7b | 7d | 8b | 9b | 10b | | | | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | a | b | c | d | e | f |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 0 | 3f | 20 | 9a | f9 | 5c | 43 | d8 | a4 | bb | 7d | 1e | 85 | c7 | 62 | e6 | 1 |
| 1 | 8c | b9 | 80 | 39 | a1 | 9c | ce | a6 | 2c | 97 | 5d | 9d | c6 | a3 | 4f | 6f |
| 2 | 5b | aa | de | 61 | ab | 32 | 24 | 22 | 9e | 3d | 4c | ca | 7b | e5 | 65 | d6 |
| 3 | b4 | bf | 4b | 35 | fb | b6 | 6b | 50 | 53 | 5 | 92 | f3 | e4 | 4e | 29 | 33 |
| 4 | d0 | 40 | 4a | bc | d4 | 45 | 49 | 10 | e0 | b7 | 6c | 8f | c4 | 9 | 82 | 8 |
| 5 | 63 | db | 7f | f1 | e3 | 52 | 13 | 2a | 28 | 60 | 5f | f8 | ec | eb | 2e | c2 |
| 6 | 5e | 25 | 4 | 41 | 69 | 95 | 72 | 34 | 75 | 4d | 31 | ac | 26 | f0 | b2 | 83 |
| 7 | 2 | a | 84 | 5a | 57 | 86 | ff | 1f | 30 | 14 | 36 | 88 | d2 | d7 | 70 | 74 |
| 8 | b1 | 6 | d3 | 98 | 87 | 8e | 38 | 77 | 99 | 96 | 8a | 67 | 46 | 6d | f5 | 1d |
| 9 | 3a | 1b | 37 | ee | 3b | 81 | e1 | df | d1 | 93 | cc | 91 | b8 | 3c | 51 | a9 |
| a | d5 | 1a | 2b | 59 | b | 12 | bd | f7 | a0 | 2d | 78 | 76 | 71 | cd | 8b | 18 |
| b | e8 | 11 | ad | be | e2 | 7e | 0 | a8 | cb | 9b | fa | 58 | 9f | ef | f6 | 94 |
| c | ed | 27 | ba | f | 2f | d | c | 54 | 21 | 73 | b0 | 19 | f4 | 8d | c8 | 6e |
| d | 89 | 48 | c5 | 23 | 64 | 47 | 7c | 16 | c1 | fd | e7 | cf | ea | 15 | da | a7 |
| e | 7 | e9 | c3 | 44 | a2 | e | 79 | 7a | 3e | 90 | 6a | fc | a5 | 56 | b3 | dd |
| f | 66 | c9 | dc | b5 | ae | af | 68 | f2 | 17 | 42 | 55 | d9 | 3 | c0 | 1c | fe | | 0 |
| G2<br>G1 | R3 | vRq443 | qRv341 | P3 | P4 | Q |
| --- | --- | --- | --- | --- | --- | --- |
| R1 | 1 | 2a | 2b | 3 | 4 | 5 |
| vRp221 | 6a | 7a | 7c | 8a | 9a | 10a | | | pRv123 | 6b | 7b | 7d | 8b | 9b | 10b |
| --- | --- | --- | --- | --- | --- | --- |
| P1 | 11 | 12 | 12 | 13 | 14 | 15 |
| P2 | 16 | 17a | 17b | 18 | 19 | 20 |
| P | 21 | 22a | 22b | 23 | 24 | 25 | | 1 |
| G2<br>G1 | R3 | vRq443 | qRv341 | P3 | P4 | Q |
| --- | --- | --- | --- | --- | --- | --- |
| R1 | 1 | 2a | 2b | 3 | 4 | 5 |
| vRp221 | 6a | 7a | 7c | 8a | 9a | 10a | | | b | e8 | 11 | ad | be | e2 | 7e | 0 | a8 | cb | 9b | fa | 58 | 9f | ef | f6 | 94 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| c | ed | 27 | ba | f | 2f | d | c | 54 | 21 | 73 | b0 | 19 | f4 | 8d | c8 | 6e |
| d | 89 | 48 | c5 | 23 | 64 | 47 | 7c | 16 | c1 | fd | e7 | cf | ea | 15 | da | a7 |
| e | 7 | e9 | c3 | 44 | a2 | e | 79 | 7a | 3e | 90 | 6a | fc | a5 | 56 | b3 | dd |
| f | 66 | c9 | dc | b5 | ae | af | 68 | f2 | 17 | 42 | 55 | d9 | 3 | c0 | 1c | fe | | 0 |
| BusValues | | | | |
| --- | --- | --- | --- | --- |
| Bus | p | q | v | θ,deg. | | | 1 | 101 | 5 | 1.100 | 0.000 |
| --- | --- | --- | --- | --- |
| 2 | 0 | 0 | 1.090 | -1.434 |
| 3 | 0 | 0 | 1.080 | -2.895 | | 1 |
| BusValues | | | | |
| --- | --- | --- | --- | --- |
| Bus | p | q | v | θ,deg. | | | | θ1 | θ2 | θ3 | δS |
| --- | --- | --- | --- | --- |
| m1 | 1/3 | 1/3 | 1/3 | 0.423 |
| m2 | 0.4 | 0.4 | 0.2 | 0.471 |
| m3 | 0.45 | 0.45 | 0.10 | 0.493 |
| m4 | 0.45 | 0.40 | 0.15 | 0.508 |
| m5 | 0.45 | 0.3 | 0.25 | 0.523 |
| m6 | 0.45 | 0.275 | 0.275 | 0.524 |
| m7 | 0.6 | 0.3 | 0.1 | 0.639 |
| m8 | 1 | 0 | 0 | 1 | | 0 |
| BusValues | | | | |
| --- | --- | --- | --- | --- |
| Bus | p | q | v | θ,deg. |
| 1 | 101 | 5 | 1.100 | 0.000 | | | 2 | 0 | 0 | 1.090 | -1.434 |
| --- | --- | --- | --- | --- |
| 3 | 0 | 0 | 1.080 | -2.895 | | 1 |
| BusValues | | | | |
| --- | --- | --- | --- | --- |
| Bus | p | q | v | θ,deg. |
| 1 | 101 | 5 | 1.100 | 0.000 | | | m5 | 0.45 | 0.3 | 0.25 | 0.523 |
| --- | --- | --- | --- | --- |
| m6 | 0.45 | 0.275 | 0.275 | 0.524 |
| m7 | 0.6 | 0.3 | 0.1 | 0.639 |
| m8 | 1 | 0 | 0 | 1 | | 0 |
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