premise string | hypothesis string | label int64 |
|---|---|---|
| Category | #3Dmodels | #objects |
| --- | --- | --- |
| Bedrooms | 11 | 428 |
| OfficeScenes | 15 | 1,203 | | | Kitchens | 11 | 797 |
| --- | --- | --- |
| LivingRooms | 10 | 715 |
| Bathrooms | 10 | 556 | | 1 |
| Category | #3Dmodels | #objects |
| --- | --- | --- |
| Bedrooms | 11 | 428 |
| OfficeScenes | 15 | 1,203 | | | category | ours | | |
| --- | --- | --- | --- |
| bathtub | 0.0152 | 0.0266 | 0.0621 |
| bed | 0.0068 | 0.0240 | 0.0617 |
| chair | 0.0118 | 0.0238 | 0.0444 |
| desk | 0.0122 | 0.0298 | 0.0731 |
| dresser | 0.0038 | 0.0384 | 0.1558 |
| monitor | 0.0103 | 0.0220 | 0.0783 |
| nightstand | 0.0080 | 0.0248 | 0.2925 |
| sofa | 0.0068 | 0.0186 | 0.0563 |
| table | 0.0051 | 0.0326 | 0.0340 |
| toilet | 0.0119 | 0.0180 | 0.0977 |
| Avg. | 0.0092 | 0.0259 | 0.0956 | | 0 |
| Category | #3Dmodels | #objects |
| --- | --- | --- |
| Bedrooms | 11 | 428 | | | OfficeScenes | 15 | 1,203 |
| --- | --- | --- |
| Kitchens | 11 | 797 |
| LivingRooms | 10 | 715 |
| Bathrooms | 10 | 556 | | 1 |
| Category | #3Dmodels | #objects |
| --- | --- | --- |
| Bedrooms | 11 | 428 | | | desk | 0.0122 | 0.0298 | 0.0731 |
| --- | --- | --- | --- |
| dresser | 0.0038 | 0.0384 | 0.1558 |
| monitor | 0.0103 | 0.0220 | 0.0783 |
| nightstand | 0.0080 | 0.0248 | 0.2925 |
| sofa | 0.0068 | 0.0186 | 0.0563 |
| table | 0.0051 | 0.0326 | 0.0340 |
| toilet | 0.0119 | 0.0180 | 0.0977 |
| Avg. | 0.0092 | 0.0259 | 0.0956 | | 0 |
| Elevation | Azimuth | LightDirection | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| SSIM | L1 | SSIM | L1 | SSIM | L1 | SSIM |
| .923 | .107 | .923 | .108 | .941 | .093 | .925 |
| .864 | .158 | .863 | .180 | .824 | .209 | .848 |
| .799 | .166 | .812 | .157 | .806 | .209 | .795 |
| .784 | .177 | .782 | .184 | .604 | .243 | .763 |
| .748 | .184 | .520 | .335 | .850 | .271 | .737 | | | .777 | .175 | .521 | .338 | .856 | .270 | .751 |
| --- | --- | --- | --- | --- | --- | --- |
| .766 | .192 | .657 | .282 | .685 | .225 | .641 | | 1 |
| Elevation | Azimuth | LightDirection | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| SSIM | L1 | SSIM | L1 | SSIM | L1 | SSIM |
| .923 | .107 | .923 | .108 | .941 | .093 | .925 |
| .864 | .158 | .863 | .180 | .824 | .209 | .848 |
| .799 | .166 | .812 | .157 | .806 | .209 | .795 |
| .784 | .177 | .782 | .184 | .604 | .243 | .763 |
| .748 | .184 | .520 | .335 | .850 | .271 | .737 | | | | Scale176×144 | Scale192×160 | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| | PSNR | SSIM | MOS | PSNR | SSIM | MOS | PSNR | SSIM |
| SGEN | 24.12 | 0.7202 | 4.6333 | 24.55 | 0.733 | 4.6000 | 24.92 | 0.7429 |
| SGEN-MSE | 24.61 | 0.7501 | 4.3667 | 24.98 | 0.7576 | 4.6333 | 25.39 | 0.7686 |
| MEN | 23.50 | 0.6942 | 1.9833 | 23.97 | 0.7052 | 2.1167 | 24.46 | 0.7197 |
| AEN | 24.14 | 0.7274 | 3.2333 | 24.62 | 0.7411 | 3.3000 | 24.97 | 0.7533 |
| CEN | 24.42 | 0.7397 | 4.1000 | 24.82 | 0.7545 | 4.0500 | 25.20 | 0.7646 | | 0 |
| Elevation | Azimuth | LightDirection | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| SSIM | L1 | SSIM | L1 | SSIM | L1 | SSIM |
| .923 | .107 | .923 | .108 | .941 | .093 | .925 |
| .864 | .158 | .863 | .180 | .824 | .209 | .848 |
| .799 | .166 | .812 | .157 | .806 | .209 | .795 |
| .784 | .177 | .782 | .184 | .604 | .243 | .763 |
| .748 | .184 | .520 | .335 | .850 | .271 | .737 | | | .777 | .175 | .521 | .338 | .856 | .270 | .751 |
| --- | --- | --- | --- | --- | --- | --- |
| .766 | .192 | .657 | .282 | .685 | .225 | .641 | | 1 |
| Elevation | Azimuth | LightDirection | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| SSIM | L1 | SSIM | L1 | SSIM | L1 | SSIM |
| .923 | .107 | .923 | .108 | .941 | .093 | .925 |
| .864 | .158 | .863 | .180 | .824 | .209 | .848 |
| .799 | .166 | .812 | .157 | .806 | .209 | .795 |
| .784 | .177 | .782 | .184 | .604 | .243 | .763 |
| .748 | .184 | .520 | .335 | .850 | .271 | .737 | | | AEN | 24.14 | 0.7274 | 3.2333 | 24.62 | 0.7411 | 3.3000 | 24.97 | 0.7533 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| CEN | 24.42 | 0.7397 | 4.1000 | 24.82 | 0.7545 | 4.0500 | 25.20 | 0.7646 | | 0 |
| Axon | meanvalue[mA] | standarddeviation[mA] |
| --- | --- | --- |
| 1 | 0.14 | 0.01 |
| 2 | 0.56 | 0.06 |
| 3 | 1.44 | 0.15 |
| 4 | 2.97 | 0.31 |
| 5 | 5.30 | 0.56 |
| 6 | 8.65 | 0.91 |
| 7 | 13.20 | 1.39 | | | 8 | 19.15 | 2.02 |
| --- | --- | --- |
| 9 | 26.67 | 2.81 |
| 10 | 36.06 | 3.80 | | 1 |
| Axon | meanvalue[mA] | standarddeviation[mA] |
| --- | --- | --- |
| 1 | 0.14 | 0.01 |
| 2 | 0.56 | 0.06 |
| 3 | 1.44 | 0.15 |
| 4 | 2.97 | 0.31 |
| 5 | 5.30 | 0.56 |
| 6 | 8.65 | 0.91 |
| 7 | 13.20 | 1.39 | | | | AFLWDataset(21pts) | | | | |
| --- | --- | --- | --- | --- | --- |
| | [0,30] | (30,60] | (60,90] | mean | std |
| AN | 4.88 | 5.55 | 7.10 | 5.84 | 1.14 |
| AN+LR | 4.00 | 4.48 | 5.89 | 4.79 | 0.98 |
| VGG | 4.15 | 4.64 | 5.96 | 4.92 | 0.94 |
| VGG+LR | 3.46 | 3.78 | 4.77 | 4.00 | 0.69 | | 0 |
| Axon | meanvalue[mA] | standarddeviation[mA] |
| --- | --- | --- |
| 1 | 0.14 | 0.01 |
| 2 | 0.56 | 0.06 |
| 3 | 1.44 | 0.15 |
| 4 | 2.97 | 0.31 | | | 5 | 5.30 | 0.56 |
| --- | --- | --- |
| 6 | 8.65 | 0.91 |
| 7 | 13.20 | 1.39 |
| 8 | 19.15 | 2.02 |
| 9 | 26.67 | 2.81 |
| 10 | 36.06 | 3.80 | | 1 |
| Axon | meanvalue[mA] | standarddeviation[mA] |
| --- | --- | --- |
| 1 | 0.14 | 0.01 |
| 2 | 0.56 | 0.06 |
| 3 | 1.44 | 0.15 |
| 4 | 2.97 | 0.31 | | | AN+LR | 4.00 | 4.48 | 5.89 | 4.79 | 0.98 |
| --- | --- | --- | --- | --- | --- |
| VGG | 4.15 | 4.64 | 5.96 | 4.92 | 0.94 |
| VGG+LR | 3.46 | 3.78 | 4.77 | 4.00 | 0.69 | | 0 |
| image | sizer | size(array) | size(mtbdd)<br>(1)(2) |
| --- | --- | --- | --- |
| image0 | 27040000 | 81120 | 5134329 | | | image1 | 1166400 | 3499 | 44615 |
| --- | --- | --- | --- |
| image2 | 5760000 | 17280 | 801746 |
| image3 | 29160000 | 87480 | 32911635 |
| image4 | 29160000 | 87480 | 6991148 | | 1 |
| image | sizer | size(array) | size(mtbdd)<br>(1)(2) |
| --- | --- | --- | --- |
| image0 | 27040000 | 81120 | 5134329 | | | image | base | mtbdd<br>(1)(2) |
| --- | --- | --- |
| image0 | 3574 | 134.612236 |
| image1 | 32.01 | 1.7841.90 |
| image2 | 350.72 | 13.88285.48 |
| image3 | 4000 | 214.641898.21 |
| image4 | sameasimage3 | 148.95533.52 | | 0 |
| image | sizer | size(array) | size(mtbdd)<br>(1)(2) |
| --- | --- | --- | --- |
| image0 | 27040000 | 81120 | 5134329 |
| image1 | 1166400 | 3499 | 44615 | | | image2 | 5760000 | 17280 | 801746 |
| --- | --- | --- | --- |
| image3 | 29160000 | 87480 | 32911635 |
| image4 | 29160000 | 87480 | 6991148 | | 1 |
| image | sizer | size(array) | size(mtbdd)<br>(1)(2) |
| --- | --- | --- | --- |
| image0 | 27040000 | 81120 | 5134329 |
| image1 | 1166400 | 3499 | 44615 | | | image3 | 4000 | 214.641898.21 |
| --- | --- | --- |
| image4 | sameasimage3 | 148.95533.52 | | 0 |
| N | Thesetofallusers | W | ThesetofallBSs |
| --- | --- | --- | --- |
| K | Thesetofallchannels | Kw | ThesetofchannelsbelongstoBSw |
| \|h\|i | Thechannelgainofuserionchannelk | pw | ThetransmitpowerofBSwonchannelk | | | p¯w | ThepowerbudgetforBSw | βw | TheuserassignmentofBSwonchannelk |
| --- | --- | --- | --- |
| a | Theassociationprofile | a−i | Theassociationprofilewithoutuseri |
| r(a)i | Therateassignedtouseri | R(a)w | TheoptimalthroughputofBSwundera |
| R(a) | Theoptimalsystemthroughputundera | N(a)w | ThesetofusersassociatedtoBSw |
| U(a)i | Theutilityofuseri | T(a)i | Thetaximposedonuseri | | 1 |
| N | Thesetofallusers | W | ThesetofallBSs |
| --- | --- | --- | --- |
| K | Thesetofallchannels | Kw | ThesetofchannelsbelongstoBSw |
| \|h\|i | Thechannelgainofuserionchannelk | pw | ThetransmitpowerofBSwonchannelk | | | IU | Goals | TaskStates | Abilities | Behaviours |
| --- | --- | --- | --- | --- |
| 1 | HandsClean,HandsWashed | handscdirty | Af:dispenser | Latherhands |
| 2 | HandsClean,HandsWashed | tapoff | Rn:tapoff | Turnontap |
| 3 | HandsClean,HandsWashed | handscsoapy,tapon | Af:water | Rinsehands |
| 4 | HandsClean,HandsWashed | handscclean,handswwet | Af:towel | Dryhands |
| 5 | HandsClean,HandsWashed | handscclean,tapon | Rn:tapon | Turnofftap |
| 6 | HandsClean,HandsWashed | handscclean,handswdry<br>tapoff | Af:handswashed | Taskcomplete | | 0 |
| N | Thesetofallusers | W | ThesetofallBSs |
| --- | --- | --- | --- |
| K | Thesetofallchannels | Kw | ThesetofchannelsbelongstoBSw |
| \|h\|i | Thechannelgainofuserionchannelk | pw | ThetransmitpowerofBSwonchannelk |
| p¯w | ThepowerbudgetforBSw | βw | TheuserassignmentofBSwonchannelk |
| a | Theassociationprofile | a−i | Theassociationprofilewithoutuseri |
| r(a)i | Therateassignedtouseri | R(a)w | TheoptimalthroughputofBSwundera | | | R(a) | Theoptimalsystemthroughputundera | N(a)w | ThesetofusersassociatedtoBSw |
| --- | --- | --- | --- |
| U(a)i | Theutilityofuseri | T(a)i | Thetaximposedonuseri | | 1 |
| N | Thesetofallusers | W | ThesetofallBSs |
| --- | --- | --- | --- |
| K | Thesetofallchannels | Kw | ThesetofchannelsbelongstoBSw |
| \|h\|i | Thechannelgainofuserionchannelk | pw | ThetransmitpowerofBSwonchannelk |
| p¯w | ThepowerbudgetforBSw | βw | TheuserassignmentofBSwonchannelk |
| a | Theassociationprofile | a−i | Theassociationprofilewithoutuseri |
| r(a)i | Therateassignedtouseri | R(a)w | TheoptimalthroughputofBSwundera | | | 4 | HandsClean,HandsWashed | handscclean,handswwet | Af:towel | Dryhands |
| --- | --- | --- | --- | --- |
| 5 | HandsClean,HandsWashed | handscclean,tapon | Rn:tapon | Turnofftap |
| 6 | HandsClean,HandsWashed | handscclean,handswdry<br>tapoff | Af:handswashed | Taskcomplete | | 0 |
| | XORSAT | COL | XORSATandCOL | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| k,q | αp | φp | cp | φp | λ | a | b | ν |
| 3 | 0.818469 | 0.715332 | 4.910815 | 0.511700 | 0.397953 | 0.422096 | 1.221834 | 1.593787 |
| 4 | 0.772280 | 0.851001 | 9.267358 | 0.616297 | 0.350174 | 0.433412 | 1.341647 | 1.526313 | | | 5 | 0.701780 | 0.903350 | 14.035605 | 0.665924 | 0.320971 | 0.439997 | 1.421808 | 1.488035 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 6 | 0.637081 | 0.930080 | 19.112434 | 0.695986 | 0.300707 | 0.444431 | 1.481191 | 1.462601 |
| 7 | 0.581775 | 0.945975 | 24.434557 | 0.716600 | 0.285554 | 0.447677 | 1.527913 | 1.444121 |
| 8 | 0.534997 | 0.956381 | 29.959848 | 0.731841 | 0.273649 | 0.450187 | 1.566174 | 1.429899 |
| 9 | 0.495255 | 0.963661 | 35.658363 | 0.743697 | 0.263961 | 0.452205 | 1.598411 | 1.418505 |
| 10 | 0.461197 | 0.969008 | 41.507763 | 0.753261 | 0.255868 | 0.453873 | 1.626162 | 1.409102 | | 1 |
| | XORSAT | COL | XORSATandCOL | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| k,q | αp | φp | cp | φp | λ | a | b | ν |
| 3 | 0.818469 | 0.715332 | 4.910815 | 0.511700 | 0.397953 | 0.422096 | 1.221834 | 1.593787 |
| 4 | 0.772280 | 0.851001 | 9.267358 | 0.616297 | 0.350174 | 0.433412 | 1.341647 | 1.526313 | | | N | p | cexp | [c]exp100 | σ[c]exp100 | λmax | [λ]max100 |
| --- | --- | --- | --- | --- | --- | --- |
| 20 | 0.4 | 7.3 | 7.6 | 0.6 | 0.9984 | 0.9985 |
| 40 | 0.2 | 7.7 | 7.8 | 0.5 | 0.9985 | 0.9985 |
| 80 | 0.1 | 7.8 | 7.9 | 0.4 | 0.9986 | 0.9985 |
| 160 | 0.05 | 8.2 | 8.0 | 0.3 | 0.9987 | 0.9985 |
| 5000 | 0.0016 | | | | 0.99850 | |
| 10000 | 0.0008 | | | | 0.99851 | |
| 20000 | 0.0004 | | | | 0.99850 | | | 0 |
| | XORSAT | COL | XORSATandCOL | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| k,q | αp | φp | cp | φp | λ | a | b | ν |
| 3 | 0.818469 | 0.715332 | 4.910815 | 0.511700 | 0.397953 | 0.422096 | 1.221834 | 1.593787 |
| 4 | 0.772280 | 0.851001 | 9.267358 | 0.616297 | 0.350174 | 0.433412 | 1.341647 | 1.526313 |
| 5 | 0.701780 | 0.903350 | 14.035605 | 0.665924 | 0.320971 | 0.439997 | 1.421808 | 1.488035 |
| 6 | 0.637081 | 0.930080 | 19.112434 | 0.695986 | 0.300707 | 0.444431 | 1.481191 | 1.462601 |
| 7 | 0.581775 | 0.945975 | 24.434557 | 0.716600 | 0.285554 | 0.447677 | 1.527913 | 1.444121 | | | 8 | 0.534997 | 0.956381 | 29.959848 | 0.731841 | 0.273649 | 0.450187 | 1.566174 | 1.429899 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 9 | 0.495255 | 0.963661 | 35.658363 | 0.743697 | 0.263961 | 0.452205 | 1.598411 | 1.418505 |
| 10 | 0.461197 | 0.969008 | 41.507763 | 0.753261 | 0.255868 | 0.453873 | 1.626162 | 1.409102 | | 1 |
| | XORSAT | COL | XORSATandCOL | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| k,q | αp | φp | cp | φp | λ | a | b | ν |
| 3 | 0.818469 | 0.715332 | 4.910815 | 0.511700 | 0.397953 | 0.422096 | 1.221834 | 1.593787 |
| 4 | 0.772280 | 0.851001 | 9.267358 | 0.616297 | 0.350174 | 0.433412 | 1.341647 | 1.526313 |
| 5 | 0.701780 | 0.903350 | 14.035605 | 0.665924 | 0.320971 | 0.439997 | 1.421808 | 1.488035 |
| 6 | 0.637081 | 0.930080 | 19.112434 | 0.695986 | 0.300707 | 0.444431 | 1.481191 | 1.462601 |
| 7 | 0.581775 | 0.945975 | 24.434557 | 0.716600 | 0.285554 | 0.447677 | 1.527913 | 1.444121 | | | 10000 | 0.0008 | | | | 0.99851 | |
| --- | --- | --- | --- | --- | --- | --- |
| 20000 | 0.0004 | | | | 0.99850 | | | 0 |
| | P=0.2 | P=0.4 | P=0.6 | P=0.8 |
| --- | --- | --- | --- | --- |
| λ32 | 3.1278811 | 3.6850001 | 3.0605835 | 3.1566209 |
| λ33 | 2.9093472 | 3.5911018 | 2.9959418 | 2.9694106 |
| λ34 | 2.8851128 | 3.4984597 | 2.903988 | 2.9241726 |
| λ35 | 2.8361213 | 3.3609776 | 2.8339349 | 2.9066998 |
| λ36 | 2.7116889 | 3.2629616 | 2.7802321 | 2.8511868 |
| λ37 | 2.6410113 | 3.1449082 | 2.7448714 | 2.7909378 |
| λ38 | 2.62132 | 3.1060263 | 2.5446362 | 2.6124111 |
| λ39 | 2.5625247 | 3.0036165 | 2.4679447 | 2.591938 |
| λ40 | 2.4466011 | 2.9296411 | 2.4130114 | 2.5655322 |
| λ41 | 2.3957291 | 2.7868727 | 2.3229128 | 2.4194093 |
| λ42 | 2.3022031 | 2.729422 | 2.2821061 | 2.3069397 |
| λ43 | 2.1920726 | 2.717123 | 2.1595839 | 2.2493672 |
| λ44 | 2.1758946 | 2.603908 | 2.1373086 | 2.1920309 |
| λ45 | 2.0950959 | 2.4974377 | 2.0678771 | 2.1697002 |
| λ46 | 2.0489445 | 2.3755221 | 1.9724868 | 2.0876546 |
| λ47 | 2.020732 | 2.3495888 | 1.9516421 | 2.0184278 |
| λ48 | 1.9777077 | 2.2768661 | 1.8642426 | 1.9885042 |
| λ49 | 1.8766222 | 2.1822128 | 1.8066548 | 1.8790247 |
| λ50 | 1.7943956 | 2.1355595 | 1.758534 | 1.8591266 |
| λ51 | 1.7171865 | 2.0430028 | 1.6877656 | 1.7836542 |
| λ52 | 1.6253386 | 2.022733 | 1.6355071 | 1.6965591 |
| λ53 | 1.5259488 | 1.9193735 | 1.6129515 | 1.6380111 |
| λ54 | 1.4965356 | 1.807634 | 1.4445091 | 1.5871297 |
| λ55 | 1.4114911 | 1.7544899 | 1.3778514 | 1.5641227 |
| λ56 | 1.381066 | 1.7005373 | 1.3387275 | 1.5194184 |
| λ57 | 1.3691854 | 1.6217295 | 1.2709127 | 1.3652494 | | | λ58 | 1.2926625 | 1.4695063 | 1.2284464 | 1.2780083 |
| --- | --- | --- | --- | --- |
| λ59 | 1.1645091 | 1.4539369 | 1.1474655 | 1.2135036 |
| λ60 | 1.1101623 | 1.3227765 | 1.1182555 | 1.1747427 |
| λ61 | 0.9979225 | 1.1870755 | 1.0455127 | 1.120168 |
| λ62 | 0.9866537 | 1.1730686 | 0.9469073 | 1.0335351 |
| λ63 | 0.7798336 | 0.9967607 | 0.7994225 | 0.9540748 |
| λ64 | 4.890E-15 | 3.123E-15 | 8.151E-15 | 6.998E-15 | | 1 |
| | P=0.2 | P=0.4 | P=0.6 | P=0.8 |
| --- | --- | --- | --- | --- |
| λ32 | 3.1278811 | 3.6850001 | 3.0605835 | 3.1566209 |
| λ33 | 2.9093472 | 3.5911018 | 2.9959418 | 2.9694106 |
| λ34 | 2.8851128 | 3.4984597 | 2.903988 | 2.9241726 |
| λ35 | 2.8361213 | 3.3609776 | 2.8339349 | 2.9066998 |
| λ36 | 2.7116889 | 3.2629616 | 2.7802321 | 2.8511868 |
| λ37 | 2.6410113 | 3.1449082 | 2.7448714 | 2.7909378 |
| λ38 | 2.62132 | 3.1060263 | 2.5446362 | 2.6124111 |
| λ39 | 2.5625247 | 3.0036165 | 2.4679447 | 2.591938 |
| λ40 | 2.4466011 | 2.9296411 | 2.4130114 | 2.5655322 |
| λ41 | 2.3957291 | 2.7868727 | 2.3229128 | 2.4194093 |
| λ42 | 2.3022031 | 2.729422 | 2.2821061 | 2.3069397 |
| λ43 | 2.1920726 | 2.717123 | 2.1595839 | 2.2493672 |
| λ44 | 2.1758946 | 2.603908 | 2.1373086 | 2.1920309 |
| λ45 | 2.0950959 | 2.4974377 | 2.0678771 | 2.1697002 |
| λ46 | 2.0489445 | 2.3755221 | 1.9724868 | 2.0876546 |
| λ47 | 2.020732 | 2.3495888 | 1.9516421 | 2.0184278 |
| λ48 | 1.9777077 | 2.2768661 | 1.8642426 | 1.9885042 |
| λ49 | 1.8766222 | 2.1822128 | 1.8066548 | 1.8790247 |
| λ50 | 1.7943956 | 2.1355595 | 1.758534 | 1.8591266 |
| λ51 | 1.7171865 | 2.0430028 | 1.6877656 | 1.7836542 |
| λ52 | 1.6253386 | 2.022733 | 1.6355071 | 1.6965591 |
| λ53 | 1.5259488 | 1.9193735 | 1.6129515 | 1.6380111 |
| λ54 | 1.4965356 | 1.807634 | 1.4445091 | 1.5871297 |
| λ55 | 1.4114911 | 1.7544899 | 1.3778514 | 1.5641227 |
| λ56 | 1.381066 | 1.7005373 | 1.3387275 | 1.5194184 |
| λ57 | 1.3691854 | 1.6217295 | 1.2709127 | 1.3652494 | | | λ | Sims<br>z=1 | Diff<br>Equations | JIQ-<br>Random |
| --- | --- | --- | --- |
| 0.50 | 1.19356 | 1.19369 | 1.12886 |
| 0.60 | 1.28239 | 1.28254 | 1.17987 |
| 0.70 | 1.40813 | 1.40828 | 1.25888 |
| 0.80 | 1.59780 | 1.59796 | 1.40787 |
| 0.90 | 1.94387 | 1.94377 | 1.83712 |
| 0.95 | 2.33613 | 2.33539 | 2.68138 |
| 0.96 | 2.48165 | 2.48041 | 3.10314 |
| 0.97 | 2.69113 | 2.68903 | 3.80509 |
| 0.98 | 3.04536 | 3.04146 | 5.20555 |
| 0.99 | 3.91664 | 3.90627 | 9.40217 | | 0 |
| | P=0.2 | P=0.4 | P=0.6 | P=0.8 |
| --- | --- | --- | --- | --- |
| λ32 | 3.1278811 | 3.6850001 | 3.0605835 | 3.1566209 |
| λ33 | 2.9093472 | 3.5911018 | 2.9959418 | 2.9694106 |
| λ34 | 2.8851128 | 3.4984597 | 2.903988 | 2.9241726 |
| λ35 | 2.8361213 | 3.3609776 | 2.8339349 | 2.9066998 |
| λ36 | 2.7116889 | 3.2629616 | 2.7802321 | 2.8511868 |
| λ37 | 2.6410113 | 3.1449082 | 2.7448714 | 2.7909378 |
| λ38 | 2.62132 | 3.1060263 | 2.5446362 | 2.6124111 |
| λ39 | 2.5625247 | 3.0036165 | 2.4679447 | 2.591938 |
| λ40 | 2.4466011 | 2.9296411 | 2.4130114 | 2.5655322 | | | λ41 | 2.3957291 | 2.7868727 | 2.3229128 | 2.4194093 |
| --- | --- | --- | --- | --- |
| λ42 | 2.3022031 | 2.729422 | 2.2821061 | 2.3069397 |
| λ43 | 2.1920726 | 2.717123 | 2.1595839 | 2.2493672 |
| λ44 | 2.1758946 | 2.603908 | 2.1373086 | 2.1920309 |
| λ45 | 2.0950959 | 2.4974377 | 2.0678771 | 2.1697002 |
| λ46 | 2.0489445 | 2.3755221 | 1.9724868 | 2.0876546 |
| λ47 | 2.020732 | 2.3495888 | 1.9516421 | 2.0184278 |
| λ48 | 1.9777077 | 2.2768661 | 1.8642426 | 1.9885042 |
| λ49 | 1.8766222 | 2.1822128 | 1.8066548 | 1.8790247 |
| λ50 | 1.7943956 | 2.1355595 | 1.758534 | 1.8591266 |
| λ51 | 1.7171865 | 2.0430028 | 1.6877656 | 1.7836542 |
| λ52 | 1.6253386 | 2.022733 | 1.6355071 | 1.6965591 |
| λ53 | 1.5259488 | 1.9193735 | 1.6129515 | 1.6380111 |
| λ54 | 1.4965356 | 1.807634 | 1.4445091 | 1.5871297 |
| λ55 | 1.4114911 | 1.7544899 | 1.3778514 | 1.5641227 |
| λ56 | 1.381066 | 1.7005373 | 1.3387275 | 1.5194184 |
| λ57 | 1.3691854 | 1.6217295 | 1.2709127 | 1.3652494 |
| λ58 | 1.2926625 | 1.4695063 | 1.2284464 | 1.2780083 |
| λ59 | 1.1645091 | 1.4539369 | 1.1474655 | 1.2135036 |
| λ60 | 1.1101623 | 1.3227765 | 1.1182555 | 1.1747427 |
| λ61 | 0.9979225 | 1.1870755 | 1.0455127 | 1.120168 |
| λ62 | 0.9866537 | 1.1730686 | 0.9469073 | 1.0335351 |
| λ63 | 0.7798336 | 0.9967607 | 0.7994225 | 0.9540748 |
| λ64 | 4.890E-15 | 3.123E-15 | 8.151E-15 | 6.998E-15 | | 1 |
| | P=0.2 | P=0.4 | P=0.6 | P=0.8 |
| --- | --- | --- | --- | --- |
| λ32 | 3.1278811 | 3.6850001 | 3.0605835 | 3.1566209 |
| λ33 | 2.9093472 | 3.5911018 | 2.9959418 | 2.9694106 |
| λ34 | 2.8851128 | 3.4984597 | 2.903988 | 2.9241726 |
| λ35 | 2.8361213 | 3.3609776 | 2.8339349 | 2.9066998 |
| λ36 | 2.7116889 | 3.2629616 | 2.7802321 | 2.8511868 |
| λ37 | 2.6410113 | 3.1449082 | 2.7448714 | 2.7909378 |
| λ38 | 2.62132 | 3.1060263 | 2.5446362 | 2.6124111 |
| λ39 | 2.5625247 | 3.0036165 | 2.4679447 | 2.591938 |
| λ40 | 2.4466011 | 2.9296411 | 2.4130114 | 2.5655322 | | | 0.97 | 2.69113 | 2.68903 | 3.80509 |
| --- | --- | --- | --- |
| 0.98 | 3.04536 | 3.04146 | 5.20555 |
| 0.99 | 3.91664 | 3.90627 | 9.40217 | | 0 |
| Country | PhD | Master’s |
| --- | --- | --- |
| Portugal | 1,179 | 300 |
| USA | 891 | 254 | | | UK | 853 | 219 |
| --- | --- | --- |
| Spain | 802 | 162 |
| France | 660 | 248 |
| Argentina | 584 | 41 | | 1 |
| Country | PhD | Master’s |
| --- | --- | --- |
| Portugal | 1,179 | 300 |
| USA | 891 | 254 | | | Department | Timespanofgraduations | #PhDsawarded |
| --- | --- | --- |
| AEGEANICSD | 1997–2016 | 31 |
| AUEBDI | 1997–2017 | 77 |
| AUTHDI | 1997–2016 | 131 |
| AUTHECE | 2005–2016 | 173 |
| CRETECSD | 1992–2016 | 75 |
| CRETEECE | 1992–2017 | 43 |
| IOANCSE | 2005–2017 | 43 |
| IONIODI | 2011–2016 | 11 |
| NTUAECE | 1993–2016 | 1036 |
| PATRASECE | 1984–2017 | 341 |
| PELOPDI | 2006–2017 | 23 |
| UADI | 2005–2017 | 208 |
| UNIPIDI | 1991–2017 | 88 |
| UTHDIB | 2013–2017 | 6 |
| UTHECE | 2006–2017 | 42 |
| | TOTAL | 2328 | | 0 |
| Country | PhD | Master’s |
| --- | --- | --- |
| Portugal | 1,179 | 300 | | | USA | 891 | 254 |
| --- | --- | --- |
| UK | 853 | 219 |
| Spain | 802 | 162 |
| France | 660 | 248 |
| Argentina | 584 | 41 | | 1 |
| Country | PhD | Master’s |
| --- | --- | --- |
| Portugal | 1,179 | 300 | | | AUTHECE | 2005–2016 | 173 |
| --- | --- | --- |
| CRETECSD | 1992–2016 | 75 |
| CRETEECE | 1992–2017 | 43 |
| IOANCSE | 2005–2017 | 43 |
| IONIODI | 2011–2016 | 11 |
| NTUAECE | 1993–2016 | 1036 |
| PATRASECE | 1984–2017 | 341 |
| PELOPDI | 2006–2017 | 23 |
| UADI | 2005–2017 | 208 |
| UNIPIDI | 1991–2017 | 88 |
| UTHDIB | 2013–2017 | 6 |
| UTHECE | 2006–2017 | 42 |
| | TOTAL | 2328 | | 0 |
| Datasets | GPOP | Ligra | GraphMat |
| --- | --- | --- | --- |
| gplus | 0.81B | 0.78B | 1.4B |
| sd1 | 4.16B | 5.5B | 7.86B | | | twitter | 1.56B | 2.34B | 3.36B |
| --- | --- | --- | --- |
| pld | 1.17B | 1.31B | 2.47B |
| friendster | 3.7B | 6.1B | - |
| soclj | 0.75B | 0.36B | 0.1B | | 1 |
| Datasets | GPOP | Ligra | GraphMat |
| --- | --- | --- | --- |
| gplus | 0.81B | 0.78B | 1.4B |
| sd1 | 4.16B | 5.5B | 7.86B | | | Datasets | GPOP | Ligra | GraphMat |
| --- | --- | --- | --- |
| gplus | 1.3B | 9.9B | 4.2B |
| sd1 | 4.52B | 52.7B | 19.4B |
| twitter | 3.43B | 34.2B | 16.3B |
| pld | 1.66B | 16.7B | 6.9B |
| friendster | 7.57B | 38.7B | - |
| soclj | 0.17B | 1.17B | 2.1B | | 0 |
| Datasets | GPOP | Ligra | GraphMat |
| --- | --- | --- | --- |
| gplus | 0.81B | 0.78B | 1.4B |
| sd1 | 4.16B | 5.5B | 7.86B |
| twitter | 1.56B | 2.34B | 3.36B | | | pld | 1.17B | 1.31B | 2.47B |
| --- | --- | --- | --- |
| friendster | 3.7B | 6.1B | - |
| soclj | 0.75B | 0.36B | 0.1B | | 1 |
| Datasets | GPOP | Ligra | GraphMat |
| --- | --- | --- | --- |
| gplus | 0.81B | 0.78B | 1.4B |
| sd1 | 4.16B | 5.5B | 7.86B |
| twitter | 1.56B | 2.34B | 3.36B | | | sd1 | 4.52B | 52.7B | 19.4B |
| --- | --- | --- | --- |
| twitter | 3.43B | 34.2B | 16.3B |
| pld | 1.66B | 16.7B | 6.9B |
| friendster | 7.57B | 38.7B | - |
| soclj | 0.17B | 1.17B | 2.1B | | 0 |
| ResultsonMomentumData | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Landmark | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| r | 0.4535 | 0.4286 | 0.6906 | 0.6542 | 0.5561 | 0.4972 | 0.7187 | | | Landmark | 8 | 9 | 10 | 11 | 12 | 13 |
| --- | --- | --- | --- | --- | --- | --- |
| r | 0.6825 | 0.5348 | 0.6155 | 0.5470 | 0.5554 | 0.4538 | | 1 |
| ResultsonMomentumData | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Landmark | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| r | 0.4535 | 0.4286 | 0.6906 | 0.6542 | 0.5561 | 0.4972 | 0.7187 | | | 1 | 100 | 0.5 | 35.137 |
| --- | --- | --- | --- |
| 1 | 100 | 0.5 | 82.415 |
| 1 | 100 | 0.5 | 100.414 |
| 2 | 100 | 0.5 | 35.301 |
| 3 | 100 | 0.5 | 35.564 |
| 1 | 200 | 0.5 | 36.480 |
| 1 | 300 | 0.5 | 37.645 |
| 1 | 400 | 0.5 | 41.113 |
| 1 | 100 | 0 | 33.621 |
| 1 | 100 | 0.1 | 34.934 | | 0 |
| ResultsonMomentumData | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Landmark | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| r | 0.4535 | 0.4286 | 0.6906 | 0.6542 | 0.5561 | 0.4972 | 0.7187 | | | Landmark | 8 | 9 | 10 | 11 | 12 | 13 |
| --- | --- | --- | --- | --- | --- | --- |
| r | 0.6825 | 0.5348 | 0.6155 | 0.5470 | 0.5554 | 0.4538 | | 1 |
| ResultsonMomentumData | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Landmark | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| r | 0.4535 | 0.4286 | 0.6906 | 0.6542 | 0.5561 | 0.4972 | 0.7187 | | | 3 | 100 | 0.5 | 35.564 |
| --- | --- | --- | --- |
| 1 | 200 | 0.5 | 36.480 |
| 1 | 300 | 0.5 | 37.645 |
| 1 | 400 | 0.5 | 41.113 |
| 1 | 100 | 0 | 33.621 |
| 1 | 100 | 0.1 | 34.934 | | 0 |
| FeatureSet | MetaQNN<br>(CIFAR-10) | ResNets<br>(TinyImageNet) | LSTM<br>(PennTreebank) | Cuda-Convnet<br>(CIFAR-10) |
| --- | --- | --- | --- | --- |
| TS | 93.98±0.15 | 86.52±1.85 | 97.81±2.45 | 95.54±0.24 |
| AP | 27.45±4.25 | 84.33±1.7 | 16.11±1.13 | 1.1±0.6 |
| HP | 12.60±1.79 | 8.78±1.14 | 3.98±0.88 | 18.19±2.19 |
| TS+AP | 84.09±1.4 | 88.82±2.95 | 96.92±2.8) | 95.36±0.27 | | | AP+HP | 27.01±5.2 | 81.71±3.9 | 15.97±2.57 | 21.65±2.72 |
| --- | --- | --- | --- | --- |
| TS+AP+HP | 94.44±0.14 | 91.8±1.1 | 98.24±2.11 | 95.69±0.15 | | 1 |
| FeatureSet | MetaQNN<br>(CIFAR-10) | ResNets<br>(TinyImageNet) | LSTM<br>(PennTreebank) | Cuda-Convnet<br>(CIFAR-10) |
| --- | --- | --- | --- | --- |
| TS | 93.98±0.15 | 86.52±1.85 | 97.81±2.45 | 95.54±0.24 |
| AP | 27.45±4.25 | 84.33±1.7 | 16.11±1.13 | 1.1±0.6 |
| HP | 12.60±1.79 | 8.78±1.14 | 3.98±0.88 | 18.19±2.19 |
| TS+AP | 84.09±1.4 | 88.82±2.95 | 96.92±2.8) | 95.36±0.27 | | | MR | CR |
| --- | --- |
| 71.11±0.80 | 71.22±1.04 |
| 72.74±1.03<br>74.39±1.70<br>75.25±1.33<br>71.64±2.09 | 71.86±2.00<br>73.81±3.52<br>76.72±2.78<br>71.52±4.18 |
| 79.84±1.26 | 83.61±1.60 |
| MPQA | TREC |
| 67.93±0.57 | 86.30±1.10 |
| 84.04±1.20<br>84.52±1.17<br>85.36±1.13<br>82.00±0.88 | 85.16±1.76<br>84.24±2.61<br>86.28±0.90<br>82.04±2.23 |
| 90.42±0.71 | 91.10±1.04 | | 0 |
| FeatureSet | MetaQNN<br>(CIFAR-10) | ResNets<br>(TinyImageNet) | LSTM<br>(PennTreebank) | Cuda-Convnet<br>(CIFAR-10) |
| --- | --- | --- | --- | --- |
| TS | 93.98±0.15 | 86.52±1.85 | 97.81±2.45 | 95.54±0.24 |
| AP | 27.45±4.25 | 84.33±1.7 | 16.11±1.13 | 1.1±0.6 | | | HP | 12.60±1.79 | 8.78±1.14 | 3.98±0.88 | 18.19±2.19 |
| --- | --- | --- | --- | --- |
| TS+AP | 84.09±1.4 | 88.82±2.95 | 96.92±2.8) | 95.36±0.27 |
| AP+HP | 27.01±5.2 | 81.71±3.9 | 15.97±2.57 | 21.65±2.72 |
| TS+AP+HP | 94.44±0.14 | 91.8±1.1 | 98.24±2.11 | 95.69±0.15 | | 1 |
| FeatureSet | MetaQNN<br>(CIFAR-10) | ResNets<br>(TinyImageNet) | LSTM<br>(PennTreebank) | Cuda-Convnet<br>(CIFAR-10) |
| --- | --- | --- | --- | --- |
| TS | 93.98±0.15 | 86.52±1.85 | 97.81±2.45 | 95.54±0.24 |
| AP | 27.45±4.25 | 84.33±1.7 | 16.11±1.13 | 1.1±0.6 | | | MPQA | TREC |
| --- | --- |
| 67.93±0.57 | 86.30±1.10 |
| 84.04±1.20<br>84.52±1.17<br>85.36±1.13<br>82.00±0.88 | 85.16±1.76<br>84.24±2.61<br>86.28±0.90<br>82.04±2.23 |
| 90.42±0.71 | 91.10±1.04 | | 0 |
| Tweetattributes: |
| --- |
| Tweettext<br>UniquetweetID<br>†<br>Dateandtimetweetwasposted<br>UTCoffset(fromGMT)<br>User’slocation | | | UserID<br>Dateandtimeuser’saccountwascreated<br>User’scurrentfollowercount<br>User’scurrentfriendscount<br>User’stotalnumberoftweets |
| --- |
| In-reply-totweetID<br>∗<br>In-reply-touserID |
| Retweet(Y/N) | | 1 |
| Tweetattributes: |
| --- |
| Tweettext<br>UniquetweetID<br>†<br>Dateandtimetweetwasposted<br>UTCoffset(fromGMT)<br>User’slocation | | | Tweets | 196,985,580 |
| --- | --- |
| Users | 9,801,062 |
| Hashtags | 1,341,733 |
| TweetswithHashtags | 19,043,104 |
| Retweets | 15,126,588 |
| TweetswithURLs | 54,443,857 |
| Direct(@)Tweets | 41,951,786 | | 0 |
| Tweetattributes: |
| --- |
| Tweettext<br>UniquetweetID<br>†<br>Dateandtimetweetwasposted<br>UTCoffset(fromGMT)<br>User’slocation | | | UserID<br>Dateandtimeuser’saccountwascreated<br>User’scurrentfollowercount<br>User’scurrentfriendscount<br>User’stotalnumberoftweets |
| --- |
| In-reply-totweetID<br>∗<br>In-reply-touserID |
| Retweet(Y/N) | | 1 |
| Tweetattributes: |
| --- |
| Tweettext<br>UniquetweetID<br>†<br>Dateandtimetweetwasposted<br>UTCoffset(fromGMT)<br>User’slocation | | | Hashtags | 1,341,733 |
| --- | --- |
| TweetswithHashtags | 19,043,104 |
| Retweets | 15,126,588 |
| TweetswithURLs | 54,443,857 |
| Direct(@)Tweets | 41,951,786 | | 0 |
| | retweet | mention | reply | quote |
| --- | --- | --- | --- | --- |
| S↔U | 9.1 | 8.6 | 7.8 | 11.8 | | | S→U | 52.9 | 42 | 63.5 | 60 |
| --- | --- | --- | --- | --- |
| S←U | 0.6 | 0.9 | 0.6 | 0.4 |
| S—U | 37.4 | 48.5 | 28.1 | 27.8 | | 1 |
| | retweet | mention | reply | quote |
| --- | --- | --- | --- | --- |
| S↔U | 9.1 | 8.6 | 7.8 | 11.8 | | | Tweetattributes: |
| --- |
| Tweettext<br>UniquetweetID<br>†<br>Dateandtimetweetwasposted<br>UTCoffset(fromGMT)<br>User’slocation |
| UserID<br>Dateandtimeuser’saccountwascreated<br>User’scurrentfollowercount<br>User’scurrentfriendscount<br>User’stotalnumberoftweets |
| In-reply-totweetID<br>∗<br>In-reply-touserID |
| Retweet(Y/N) | | 0 |
| | retweet | mention | reply | quote |
| --- | --- | --- | --- | --- |
| S↔U | 9.1 | 8.6 | 7.8 | 11.8 | | | S→U | 52.9 | 42 | 63.5 | 60 |
| --- | --- | --- | --- | --- |
| S←U | 0.6 | 0.9 | 0.6 | 0.4 |
| S—U | 37.4 | 48.5 | 28.1 | 27.8 | | 1 |
| | retweet | mention | reply | quote |
| --- | --- | --- | --- | --- |
| S↔U | 9.1 | 8.6 | 7.8 | 11.8 | | | UserID<br>Dateandtimeuser’saccountwascreated<br>User’scurrentfollowercount<br>User’scurrentfriendscount<br>User’stotalnumberoftweets |
| --- |
| In-reply-totweetID<br>∗<br>In-reply-touserID |
| Retweet(Y/N) | | 0 |
| Non-EnglishorMath | Frequency | Comments |
| --- | --- | --- |
| Ø | 1in1,000 | ForSwedishnames |
| π | 1in5 | Commoninmath | | | $ | 4in5 | Usedinbusiness |
| --- | --- | --- |
| Ψ | 1in40,000 | Unexplainedusage | | 1 |
| Non-EnglishorMath | Frequency | Comments |
| --- | --- | --- |
| Ø | 1in1,000 | ForSwedishnames |
| π | 1in5 | Commoninmath | | | Non-EnglishorMath | Frequency | Comments |
| --- | --- | --- |
| Ø | 1in1,000 | ForSwedishnames |
| π | 1in5 | Commoninmath |
| $ | 4in5 | Usedinbusiness |
| Ψ | 1in40,000 | Unexplainedusage | | 0 |
| Non-EnglishorMath | Frequency | Comments |
| --- | --- | --- |
| Ø | 1in1,000 | ForSwedishnames |
| π | 1in5 | Commoninmath | | | $ | 4in5 | Usedinbusiness |
| --- | --- | --- |
| Ψ | 1in40,000 | Unexplainedusage | | 1 |
| Non-EnglishorMath | Frequency | Comments |
| --- | --- | --- |
| Ø | 1in1,000 | ForSwedishnames |
| π | 1in5 | Commoninmath | | | π | 1in5 | Commoninmath |
| --- | --- | --- |
| $ | 4in5 | Usedinbusiness |
| Ψ | 1in40,000 | Unexplainedusage | | 0 |
| Query1(Q1) | | | | | |
| --- | --- | --- | --- | --- | --- |
| | Relaxation | Ref-1 | Ref-2 | Ref-3 | Ref-4 |
| LUBM10 | 480.4ms/5715 | 237.2ms/311 | 311ms/585 | 490.2ms/5715 | 530ms/5715 | | | LUBM50 | 1.148s/29976 | 380.3ms/1529 | 288ms/585 | 1.219s/29976 | 1.576ms/29976 |
| --- | --- | --- | --- | --- | --- |
| LUBM100 | 1.981s/60268 | 315ms/3023 | 250ms/585 | 1.910s/60268 | 1.920s/60268 | | 1 |
| Query1(Q1) | | | | | |
| --- | --- | --- | --- | --- | --- |
| | Relaxation | Ref-1 | Ref-2 | Ref-3 | Ref-4 |
| LUBM10 | 480.4ms/5715 | 237.2ms/311 | 311ms/585 | 490.2ms/5715 | 530ms/5715 | | | | N | PSNR(dB) | RelErr | Iter | Time(s) |
| --- | --- | --- | --- | --- | --- |
| Lena | 1 | 28.83 | 0.0827 | 16 | 0.5 |
| 5 | 29.40 | 0.0774 | 23 | 1.2 | |
| 20 | 29.45 | 0.0769 | 26 | 3.1 | |
| 200 | 29.45 | 0.0769 | 36 | 35.5 | |
| 1000 | 29.45 | 0.0769 | 36 | 199.1 | |
| Barbara | 1 | 27.49 | 0.0790 | 9 | 0.3 |
| 5 | 27.80 | 0.0762 | 19 | 1.0 | |
| 20 | 27.82 | 0.0761 | 20 | 2.5 | |
| 200 | 27.82 | 0.0761 | 20 | 20.4 | |
| 1000 | 27.82 | 0.0761 | 20 | 119.2 | | | 0 |
| Query1(Q1) | | | | | |
| --- | --- | --- | --- | --- | --- |
| | Relaxation | Ref-1 | Ref-2 | Ref-3 | Ref-4 | | | LUBM10 | 480.4ms/5715 | 237.2ms/311 | 311ms/585 | 490.2ms/5715 | 530ms/5715 |
| --- | --- | --- | --- | --- | --- |
| LUBM50 | 1.148s/29976 | 380.3ms/1529 | 288ms/585 | 1.219s/29976 | 1.576ms/29976 |
| LUBM100 | 1.981s/60268 | 315ms/3023 | 250ms/585 | 1.910s/60268 | 1.920s/60268 | | 1 |
| Query1(Q1) | | | | | |
| --- | --- | --- | --- | --- | --- |
| | Relaxation | Ref-1 | Ref-2 | Ref-3 | Ref-4 | | | 1000 | 29.45 | 0.0769 | 36 | 199.1 | |
| --- | --- | --- | --- | --- | --- |
| Barbara | 1 | 27.49 | 0.0790 | 9 | 0.3 |
| 5 | 27.80 | 0.0762 | 19 | 1.0 | |
| 20 | 27.82 | 0.0761 | 20 | 2.5 | |
| 200 | 27.82 | 0.0761 | 20 | 20.4 | |
| 1000 | 27.82 | 0.0761 | 20 | 119.2 | | | 0 |
| Notation | Description |
| --- | --- |
| T | aCNNtree | | | v | anodeofaCNNtree |
| --- | --- |
| φ(v) | thechildrennodessetofnodev |
| P(v) | theclasssetofnodev |
| M(v) | theCNNmodeltrainedonP(v) |
| ci | theiclassofaclassset |
| Si | theconfusionsetofci |
| Qk | thekconfusionsuperset | | 1 |
| Notation | Description |
| --- | --- |
| T | aCNNtree | | | Models | devset | testset |
| --- | --- | --- |
| OnestageQACNN | 66.8 | - |
| QACNN(noattention) | 69.6 | - |
| QACNN(onlyword-levelattention) | 72.5 | - |
| QACNN(onlysentence-levelattention) | 75.1 | - |
| QACNN(single) | 77.6 | 75.84 |
| QACNN(ensemble) | 79.0 | 79.99 | | 0 |
| Notation | Description |
| --- | --- |
| T | aCNNtree |
| v | anodeofaCNNtree | | | φ(v) | thechildrennodessetofnodev |
| --- | --- |
| P(v) | theclasssetofnodev |
| M(v) | theCNNmodeltrainedonP(v) |
| ci | theiclassofaclassset |
| Si | theconfusionsetofci |
| Qk | thekconfusionsuperset | | 1 |
| Notation | Description |
| --- | --- |
| T | aCNNtree |
| v | anodeofaCNNtree | | | QACNN(noattention) | 69.6 | - |
| --- | --- | --- |
| QACNN(onlyword-levelattention) | 72.5 | - |
| QACNN(onlysentence-levelattention) | 75.1 | - |
| QACNN(single) | 77.6 | 75.84 |
| QACNN(ensemble) | 79.0 | 79.99 | | 0 |
| Model | Partition | A1=¿A2 | A2=¿B1 | B1=¿B2 | B2=¿C1 |
| --- | --- | --- | --- | --- | --- |
| GBT<br>GBT | train<br>test | 0.897<br>0.895 | 0.888<br>0.897 | 0.903<br>0.778 | 0.854<br>0.821 |
| ElasticNet<br>ElasticNet | train<br>test | 0.972<br>0.865 | 0.977<br>0.847 | 0.895<br>0.686 | 0.998<br>0.629 | | | LSTM<br>LSTM | train<br>test | 0.985<br>0.863 | 0.985<br>0.824 | 0.942<br>0.548 | 0.777<br>0.525 |
| --- | --- | --- | --- | --- | --- |
| GBT<br>GBT | train<br>test | 0.931<br>0.916 | 0.899<br>0.904 | 0.927<br>0.753 | 0.860<br>0.746 | | 1 |
| Model | Partition | A1=¿A2 | A2=¿B1 | B1=¿B2 | B2=¿C1 |
| --- | --- | --- | --- | --- | --- |
| GBT<br>GBT | train<br>test | 0.897<br>0.895 | 0.888<br>0.897 | 0.903<br>0.778 | 0.854<br>0.821 |
| ElasticNet<br>ElasticNet | train<br>test | 0.972<br>0.865 | 0.977<br>0.847 | 0.895<br>0.686 | 0.998<br>0.629 | | | Training | Connection | Dataset | Spanish-French | German-French | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| es→en | en→fr | es→fr | de→en | en→fr | de→fr | | | |
| indep. | - | Dev.<br>Test | 31.53<br>31.54 | 30.46<br>31.42 | 29.52<br>29.79 | 26.52<br>26.47 | 30.46<br>31.42 | 23.67<br>23.70 |
| joint | hard | Dev.<br>Test | 31.81<br>31.55 | 30.18<br>31.13 | 29.11<br>29.93 | 26.48<br>26.58 | 30.47<br>31.35 | 23.87<br>23.88 |
| soft | Dev.<br>Test | 32.11<br>∗<br>31.96 | 30.41<br>31.40 | 30.24<br>∗∗<br>30.57 | 26.92<br>26.55 | 30.39<br>31.33 | 23.99<br>23.79 | |
| likelihood | Dev.<br>Test | 33.35<br>∗∗<br>33.54 | 31.63<br>∗∗<br>32.33 | 32.45<br>∗∗<br>32.59 | 27.90<br>∗∗<br>28.01 | 31.49<br>∗∗<br>32.34 | 25.21<br>∗∗<br>25.93 | | | 0 |
| Model | Partition | A1=¿A2 | A2=¿B1 | B1=¿B2 | B2=¿C1 |
| --- | --- | --- | --- | --- | --- |
| GBT<br>GBT | train<br>test | 0.897<br>0.895 | 0.888<br>0.897 | 0.903<br>0.778 | 0.854<br>0.821 | | | ElasticNet<br>ElasticNet | train<br>test | 0.972<br>0.865 | 0.977<br>0.847 | 0.895<br>0.686 | 0.998<br>0.629 |
| --- | --- | --- | --- | --- | --- |
| LSTM<br>LSTM | train<br>test | 0.985<br>0.863 | 0.985<br>0.824 | 0.942<br>0.548 | 0.777<br>0.525 |
| GBT<br>GBT | train<br>test | 0.931<br>0.916 | 0.899<br>0.904 | 0.927<br>0.753 | 0.860<br>0.746 | | 1 |
| Model | Partition | A1=¿A2 | A2=¿B1 | B1=¿B2 | B2=¿C1 |
| --- | --- | --- | --- | --- | --- |
| GBT<br>GBT | train<br>test | 0.897<br>0.895 | 0.888<br>0.897 | 0.903<br>0.778 | 0.854<br>0.821 | | | joint | hard | Dev.<br>Test | 31.81<br>31.55 | 30.18<br>31.13 | 29.11<br>29.93 | 26.48<br>26.58 | 30.47<br>31.35 | 23.87<br>23.88 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| soft | Dev.<br>Test | 32.11<br>∗<br>31.96 | 30.41<br>31.40 | 30.24<br>∗∗<br>30.57 | 26.92<br>26.55 | 30.39<br>31.33 | 23.99<br>23.79 | |
| likelihood | Dev.<br>Test | 33.35<br>∗∗<br>33.54 | 31.63<br>∗∗<br>32.33 | 32.45<br>∗∗<br>32.59 | 27.90<br>∗∗<br>28.01 | 31.49<br>∗∗<br>32.34 | 25.21<br>∗∗<br>25.93 | | | 0 |
| Event | (A) | (B) | (C) | (D) |
| --- | --- | --- | --- | --- |
| Celebration | 0.0 | 0.35 | 0.26 | 0.0 |
| Checking | 0.1 | 0.16 | 0.09 | 0.0 |
| Endofperiod | 0.83 | 0.87 | 0.93 | 0.66 |
| Fight | 0.48 | 0.43 | 0.83 | 0.0 |
| Goal | 0.003 | 0.22 | 0.0 | 0.0 |
| Penalty | 0.6 | 0.33 | 0.63 | 0.0 |
| Shot | 0.12 | 0.07 | 0.03 | 0.0 | | | Save | 0.23 | 0.16 | 0.14 | 0.0 |
| --- | --- | --- | --- | --- |
| Linechange | 0.64 | 0.51 | 0.74 | 0.07 |
| Faceoff | 0.73 | 0.62 | 0.79 | 0.27 |
| Play | 0.91 | 0.85 | 0.95 | 0.81 |
| AverageF1 | 0.42 | 0.42 | 0.49 | 0.17 | | 1 |
| Event | (A) | (B) | (C) | (D) |
| --- | --- | --- | --- | --- |
| Celebration | 0.0 | 0.35 | 0.26 | 0.0 |
| Checking | 0.1 | 0.16 | 0.09 | 0.0 |
| Endofperiod | 0.83 | 0.87 | 0.93 | 0.66 |
| Fight | 0.48 | 0.43 | 0.83 | 0.0 |
| Goal | 0.003 | 0.22 | 0.0 | 0.0 |
| Penalty | 0.6 | 0.33 | 0.63 | 0.0 |
| Shot | 0.12 | 0.07 | 0.03 | 0.0 | | | Event | EM | SMKO |
| --- | --- | --- |
| Celebration | 0.60 | 0.62 |
| Checking | 0.20 | 0.38 |
| Endofperiod | 0.90 | 0.98 |
| Fight | 0.74 | 0.85 |
| Goal | 0.38 | 0.38 |
| Penalty | 0.54 | 0.79 |
| Shot | 0.46 | 0.30 |
| Save | 0.60 | 0.46 |
| Linechange | 0.68 | 0.78 |
| Faceoff | 0.78 | 0.86 |
| Play | 0.93 | 0.95 |
| AverageF1 | 0.62 | 0.67 | | 0 |
| Event | (A) | (B) | (C) | (D) |
| --- | --- | --- | --- | --- |
| Celebration | 0.0 | 0.35 | 0.26 | 0.0 |
| Checking | 0.1 | 0.16 | 0.09 | 0.0 |
| Endofperiod | 0.83 | 0.87 | 0.93 | 0.66 |
| Fight | 0.48 | 0.43 | 0.83 | 0.0 |
| Goal | 0.003 | 0.22 | 0.0 | 0.0 | | | Penalty | 0.6 | 0.33 | 0.63 | 0.0 |
| --- | --- | --- | --- | --- |
| Shot | 0.12 | 0.07 | 0.03 | 0.0 |
| Save | 0.23 | 0.16 | 0.14 | 0.0 |
| Linechange | 0.64 | 0.51 | 0.74 | 0.07 |
| Faceoff | 0.73 | 0.62 | 0.79 | 0.27 |
| Play | 0.91 | 0.85 | 0.95 | 0.81 |
| AverageF1 | 0.42 | 0.42 | 0.49 | 0.17 | | 1 |
| Event | (A) | (B) | (C) | (D) |
| --- | --- | --- | --- | --- |
| Celebration | 0.0 | 0.35 | 0.26 | 0.0 |
| Checking | 0.1 | 0.16 | 0.09 | 0.0 |
| Endofperiod | 0.83 | 0.87 | 0.93 | 0.66 |
| Fight | 0.48 | 0.43 | 0.83 | 0.0 |
| Goal | 0.003 | 0.22 | 0.0 | 0.0 | | | Linechange | 0.68 | 0.78 |
| --- | --- | --- |
| Faceoff | 0.78 | 0.86 |
| Play | 0.93 | 0.95 |
| AverageF1 | 0.62 | 0.67 | | 0 |
| Model | #param(M) | FLOPs(G) | Depth |
| --- | --- | --- | --- |
| X-Corr | 2.2 | 1.58 | 10 |
| BDLatPart | 1.4 | 1.80 | 25 |
| DPFL | 35 | 6.00 | 40 | | | JLML | 7.2 | 1.54 | 39 |
| --- | --- | --- | --- |
| DeepAlign | 6 | 1.57 | 22 |
| Ours-(L2,L3) | 0.5 | 0.96 | 12 |
| Ours-(L2,L3,L4) | 0.8 | 1.31 | 18 | | 1 |
| Model | #param(M) | FLOPs(G) | Depth |
| --- | --- | --- | --- |
| X-Corr | 2.2 | 1.58 | 10 |
| BDLatPart | 1.4 | 1.80 | 25 |
| DPFL | 35 | 6.00 | 40 | | | Models | IOU | Params | GFlops |
| --- | --- | --- | --- |
| D | 69.26 | 1291648 | 19.025 |
| DG2 | 69.71 | 1238960 | 18.998 |
| DG4 | 68.98 | 1202096 | 18.595 |
| DG8 | 69.57 | 1183664 | 18.394 |
| DG2S | 70.62 | 1238960 | 18.998 |
| DG4S | 69.59 | 1202096 | 18.595 |
| DG8S | 69.57 | 1183664 | 18.394 | | 0 |
| Model | #param(M) | FLOPs(G) | Depth |
| --- | --- | --- | --- |
| X-Corr | 2.2 | 1.58 | 10 |
| BDLatPart | 1.4 | 1.80 | 25 |
| DPFL | 35 | 6.00 | 40 |
| JLML | 7.2 | 1.54 | 39 | | | DeepAlign | 6 | 1.57 | 22 |
| --- | --- | --- | --- |
| Ours-(L2,L3) | 0.5 | 0.96 | 12 |
| Ours-(L2,L3,L4) | 0.8 | 1.31 | 18 | | 1 |
| Model | #param(M) | FLOPs(G) | Depth |
| --- | --- | --- | --- |
| X-Corr | 2.2 | 1.58 | 10 |
| BDLatPart | 1.4 | 1.80 | 25 |
| DPFL | 35 | 6.00 | 40 |
| JLML | 7.2 | 1.54 | 39 | | | DG2 | 69.71 | 1238960 | 18.998 |
| --- | --- | --- | --- |
| DG4 | 68.98 | 1202096 | 18.595 |
| DG8 | 69.57 | 1183664 | 18.394 |
| DG2S | 70.62 | 1238960 | 18.998 |
| DG4S | 69.59 | 1202096 | 18.595 |
| DG8S | 69.57 | 1183664 | 18.394 | | 0 |
| SymmetricKeySize | RSAModulusSize | u | SymmetricKeySize | RSAModulusSize | u |
| --- | --- | --- | --- | --- | --- |
| 80 | 1024 | 2 | 192 | 7680 | 4 |
| 73 | 1024 | 3 | 175 | 7680 | 5 |
| 112 | 2335 | 3 | 158 | 7680 | 6 | | | 100 | 2335 | 4 | 144 | 7680 | 7 |
| --- | --- | --- | --- | --- | --- |
| 88 | 2335 | 5 | 125 | 7680 | 9 |
| 128 | 3072 | 3 | 256 | 15360 | 5 |
| 117 | 3072 | 4 | 235 | 15360 | 6 |
| 103 | 3072 | 5 | 215 | 15360 | 7 |
| 93 | 3072 | 6 | 199 | 15360 | 8 | | 1 |
| SymmetricKeySize | RSAModulusSize | u | SymmetricKeySize | RSAModulusSize | u |
| --- | --- | --- | --- | --- | --- |
| 80 | 1024 | 2 | 192 | 7680 | 4 |
| 73 | 1024 | 3 | 175 | 7680 | 5 |
| 112 | 2335 | 3 | 158 | 7680 | 6 | | | ℵ | ℵ0 | ℵ1 | ℵ2 | ℵ3 | ℵ4 | ℵ5 | ℵ6 | ℵ7 | ℵ8 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| n | 82 | 116 | 164 | 232 | 328 | 463 | 655 | 927 | 1310 |
| JavaSHA1PRNG | | | | | | | | | |
| 0.9 | 20 | 16 | 20 | 20 | 16 | 14 | 17 | 11 | 11 |
| −0.9 | 18 | 20 | 18 | 17 | 14 | 11 | 12 | 11 | 9 |
| 0.95 | 14 | 12 | 13 | 18 | 12 | 10 | 15 | 7 | 8 |
| −0.95 | 13 | 13 | 14 | 9 | 10 | 7 | 9 | 8 | 6 |
| NISTSP80090ASHA1-DRBGatsamplesize1000 | | | | | | | | | |
| 0.9 | 15 | 16 | 15 | 12 | 8 | 9 | 17 | 10 | 8 |
| −0.9 | 15 | 19 | 12 | 18 | 10 | 16 | 14 | 9 | ‘2 |
| 0.95 | 10 | 9 | 12 | 10 | 5 | 5 | 11 | 6 | 6 |
| −0.95 | 11 | 12 | 8 | 13 | 8 | 10 | 10 | 7 | 12 |
| NISTSP80090ASHA256-DRBGatsamplesize1000 | | | | | | | | | |
| 0.9 | 13 | 16 | 14 | 20 | 13 | 15 | 21 | 16 | 9 |
| −0.9 | 16 | 13 | 14 | 5 | 13 | 9 | 11 | 13 | 10 |
| 0.95 | 9 | 10 | 12 | 15 | 9 | 10 | 16 | 14 | 3 |
| −0.95 | 13 | 9 | 8 | 4 | 8 | 6 | 9 | 12 | 9 |
| NISTSP80090ASHA256-DRBGatsamplesize10000 | | | | | | | | | |
| 0.9 | 164 | 157 | 162 | 145 | 128 | 128 | 133 | 121 | 114 |
| −0.9 | 154 | 142 | 142 | 130 | 123 | 128 | 123 | 120 | 107 |
| 0.95 | 120 | 107 | 127 | 110 | 89 | 93 | 93 | 84 | 70 |
| −0.95 | 107 | 106 | 92 | 99 | 91 | 93 | 95 | 84 | 78 | | 0 |
| SymmetricKeySize | RSAModulusSize | u | SymmetricKeySize | RSAModulusSize | u |
| --- | --- | --- | --- | --- | --- |
| 80 | 1024 | 2 | 192 | 7680 | 4 | | | 73 | 1024 | 3 | 175 | 7680 | 5 |
| --- | --- | --- | --- | --- | --- |
| 112 | 2335 | 3 | 158 | 7680 | 6 |
| 100 | 2335 | 4 | 144 | 7680 | 7 |
| 88 | 2335 | 5 | 125 | 7680 | 9 |
| 128 | 3072 | 3 | 256 | 15360 | 5 |
| 117 | 3072 | 4 | 235 | 15360 | 6 |
| 103 | 3072 | 5 | 215 | 15360 | 7 |
| 93 | 3072 | 6 | 199 | 15360 | 8 | | 1 |
| SymmetricKeySize | RSAModulusSize | u | SymmetricKeySize | RSAModulusSize | u |
| --- | --- | --- | --- | --- | --- |
| 80 | 1024 | 2 | 192 | 7680 | 4 | | | −0.95 | 13 | 13 | 14 | 9 | 10 | 7 | 9 | 8 | 6 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| NISTSP80090ASHA1-DRBGatsamplesize1000 | | | | | | | | | |
| 0.9 | 15 | 16 | 15 | 12 | 8 | 9 | 17 | 10 | 8 |
| −0.9 | 15 | 19 | 12 | 18 | 10 | 16 | 14 | 9 | ‘2 |
| 0.95 | 10 | 9 | 12 | 10 | 5 | 5 | 11 | 6 | 6 |
| −0.95 | 11 | 12 | 8 | 13 | 8 | 10 | 10 | 7 | 12 |
| NISTSP80090ASHA256-DRBGatsamplesize1000 | | | | | | | | | |
| 0.9 | 13 | 16 | 14 | 20 | 13 | 15 | 21 | 16 | 9 |
| −0.9 | 16 | 13 | 14 | 5 | 13 | 9 | 11 | 13 | 10 |
| 0.95 | 9 | 10 | 12 | 15 | 9 | 10 | 16 | 14 | 3 |
| −0.95 | 13 | 9 | 8 | 4 | 8 | 6 | 9 | 12 | 9 |
| NISTSP80090ASHA256-DRBGatsamplesize10000 | | | | | | | | | |
| 0.9 | 164 | 157 | 162 | 145 | 128 | 128 | 133 | 121 | 114 |
| −0.9 | 154 | 142 | 142 | 130 | 123 | 128 | 123 | 120 | 107 |
| 0.95 | 120 | 107 | 127 | 110 | 89 | 93 | 93 | 84 | 70 |
| −0.95 | 107 | 106 | 92 | 99 | 91 | 93 | 95 | 84 | 78 | | 0 |
| Methods | A→W | D→W | W→D |
| --- | --- | --- | --- |
| GFK(PLS,PCA) | 46.4±0.5 | 61.3±0.4 | 66.3±0.4 |
| SA | 45.0 | 64.8 | 69.9 | | | DaNBNN | 52.8±3.7 | 76.6±1.7 | 76.2±2.5 |
| --- | --- | --- | --- |
| DaNN | 53.6±0.2 | 71.2±0.0 | 83.5±0.0 |
| Dlid | 51.9 | 78.2 | 89.9 |
| DecafS+T | 80.7±2.3 | 94.8±1.2 | − |
| DDC | 84.1±0.6 | 95.4±0.4 | 96.3±0.3 |
| DAN | 85.6±0.3 | 95.8±0.2 | 96.7±0.2 |
| FCR2-c | 80.68±1.50 | 94.81±0.93 | 94.02±1.41 |
| FCR1-c | 80.06±1.23 | 95.01±0.57 | 95.21±0.67 |
| MLR | 79.32±1.09 | 94.25±0.80 | 94.27±1.15 |
| CFV | 73.05±1.86 | 87.52±1.42 | 88.59±1.88 |
| FCR1-c+FCR2-c | 81.40±1.63 | 95.27±0.87 | 95.51±1.08 |
| MLR+FCR2-c | 83.96±1.66 | 95.95±0.65 | 96.84±0.44 |
| CFV+FCR2-c | 83.93±1.94 | 95.21±1.07 | 95.85±0.75 |
| MLR+FCR1-c | 82.74±1.37 | 95.78±0.54 | 96.74±0.64 |
| CFV+FCR1-c | 82.56±1.79 | 94.62±0.97 | 96.05±0.82 |
| MLR+CFV | 81.42±1.22 | 94.79±0.87 | 95.06±1.34 |
| MLR+CFV+FCR1-c | 84.16±0.96 | 95.61±0.78 | 96.44±0.85 |
| MLR+CFV+FCR2-c | 84.79±1.62 | 95.98±0.50 | 96.89±0.37 |
| CFV+FCR1-c+FCR2-c | 83.50±2.06 | 95.24±0.64 | 96.54±0.84 |
| MLR+FCR1-c+FCR2-c | 83.59±1.45 | 96.15±0.48 | 96.94±0.64 |
| MLR+CFV+FCR1-c+FCR2-c | 84.64±1.57 | 95.95±0.54 | 97.14±0.37 | | 1 |
| Methods | A→W | D→W | W→D |
| --- | --- | --- | --- |
| GFK(PLS,PCA) | 46.4±0.5 | 61.3±0.4 | 66.3±0.4 |
| SA | 45.0 | 64.8 | 69.9 | | | Methods | A→W | D→W | W→D |
| --- | --- | --- | --- |
| GFK(PLS,PCA) | 15.0±0.4 | 44.6±0.3 | 49.7±0.5 |
| SA | 15.3 | 50.1 | 56.9 |
| DaNBNN | 23.3±2.7 | 67.2±1.9 | 67.4±3.0 |
| DaNN | 35.0±0.2 | 70.5±0.0 | 74.3±0.0 |
| Dlid | 26.1 | 68.9 | 84.9 |
| Decaf | 52.20±1.70 | 91.50±1.50 | − |
| DDC | 59.40±0.80 | 92.50±0.30 | 91.70±0.80 |
| FCR2-c | 54.21±1.59 | 91.55±0.64 | 90.44±0.66 |
| FCR1-c | 53.46±0.94 | 91.35±0.61 | 91.24±1.25 |
| MLR | 40.43±3.03 | 89.79±1.32 | 89.68±1.21 |
| CFV | 21.06±2.72 | 76.50±1.32 | 80.08±1.13 |
| FCR1-c+FCR2-c | 55.17±1.91 | 92.53±0.78 | 92.21±1.06 |
| MLR+FCR2-c | 52.28±2.61 | 93.36±1.58 | 93.49±0.96 |
| CFV+FCR2-c | 49.36±1.92 | 91.80±0.91 | 92.77±0.97 |
| MLR+FCR1-c | 49.46±3.03 | 92.53±1.41 | 92.89±1.17 |
| CFV+FCR1-c | 45.74±1.51 | 91.27±0.78 | 92.05±1.18 |
| MLR+CFV | 36.15±3.72 | 90.79±1.00 | 90.20±1.22 |
| MLR+CFV+FCR1-c | 45.21±3.43 | 92.98±1.19 | 93.29±1.45 |
| MLR+CFV+FCR2-c | 49.33±3.53 | 93.18±1.16 | 93.57±1.40 |
| CFV+FCR1-c+FCR2-c | 52.25±1.98 | 92.83±1.02 | 93.41±1.27 |
| MLR+FCR1-c+FCR2-c | 54.29±2.96 | 93.66±1.51 | 93.98±0.95 |
| MLR+CFV+FCR1-c+FCR2-c | 51.45±3.33 | 93.46±1.26 | 94.22±1.36 | | 0 |
| Methods | A→W | D→W | W→D |
| --- | --- | --- | --- |
| GFK(PLS,PCA) | 46.4±0.5 | 61.3±0.4 | 66.3±0.4 |
| SA | 45.0 | 64.8 | 69.9 |
| DaNBNN | 52.8±3.7 | 76.6±1.7 | 76.2±2.5 |
| DaNN | 53.6±0.2 | 71.2±0.0 | 83.5±0.0 |
| Dlid | 51.9 | 78.2 | 89.9 |
| DecafS+T | 80.7±2.3 | 94.8±1.2 | − |
| DDC | 84.1±0.6 | 95.4±0.4 | 96.3±0.3 |
| DAN | 85.6±0.3 | 95.8±0.2 | 96.7±0.2 |
| FCR2-c | 80.68±1.50 | 94.81±0.93 | 94.02±1.41 | | | FCR1-c | 80.06±1.23 | 95.01±0.57 | 95.21±0.67 |
| --- | --- | --- | --- |
| MLR | 79.32±1.09 | 94.25±0.80 | 94.27±1.15 |
| CFV | 73.05±1.86 | 87.52±1.42 | 88.59±1.88 |
| FCR1-c+FCR2-c | 81.40±1.63 | 95.27±0.87 | 95.51±1.08 |
| MLR+FCR2-c | 83.96±1.66 | 95.95±0.65 | 96.84±0.44 |
| CFV+FCR2-c | 83.93±1.94 | 95.21±1.07 | 95.85±0.75 |
| MLR+FCR1-c | 82.74±1.37 | 95.78±0.54 | 96.74±0.64 |
| CFV+FCR1-c | 82.56±1.79 | 94.62±0.97 | 96.05±0.82 |
| MLR+CFV | 81.42±1.22 | 94.79±0.87 | 95.06±1.34 |
| MLR+CFV+FCR1-c | 84.16±0.96 | 95.61±0.78 | 96.44±0.85 |
| MLR+CFV+FCR2-c | 84.79±1.62 | 95.98±0.50 | 96.89±0.37 |
| CFV+FCR1-c+FCR2-c | 83.50±2.06 | 95.24±0.64 | 96.54±0.84 |
| MLR+FCR1-c+FCR2-c | 83.59±1.45 | 96.15±0.48 | 96.94±0.64 |
| MLR+CFV+FCR1-c+FCR2-c | 84.64±1.57 | 95.95±0.54 | 97.14±0.37 | | 1 |
| Methods | A→W | D→W | W→D |
| --- | --- | --- | --- |
| GFK(PLS,PCA) | 46.4±0.5 | 61.3±0.4 | 66.3±0.4 |
| SA | 45.0 | 64.8 | 69.9 |
| DaNBNN | 52.8±3.7 | 76.6±1.7 | 76.2±2.5 |
| DaNN | 53.6±0.2 | 71.2±0.0 | 83.5±0.0 |
| Dlid | 51.9 | 78.2 | 89.9 |
| DecafS+T | 80.7±2.3 | 94.8±1.2 | − |
| DDC | 84.1±0.6 | 95.4±0.4 | 96.3±0.3 |
| DAN | 85.6±0.3 | 95.8±0.2 | 96.7±0.2 |
| FCR2-c | 80.68±1.50 | 94.81±0.93 | 94.02±1.41 | | | CFV+FCR2-c | 49.36±1.92 | 91.80±0.91 | 92.77±0.97 |
| --- | --- | --- | --- |
| MLR+FCR1-c | 49.46±3.03 | 92.53±1.41 | 92.89±1.17 |
| CFV+FCR1-c | 45.74±1.51 | 91.27±0.78 | 92.05±1.18 |
| MLR+CFV | 36.15±3.72 | 90.79±1.00 | 90.20±1.22 |
| MLR+CFV+FCR1-c | 45.21±3.43 | 92.98±1.19 | 93.29±1.45 |
| MLR+CFV+FCR2-c | 49.33±3.53 | 93.18±1.16 | 93.57±1.40 |
| CFV+FCR1-c+FCR2-c | 52.25±1.98 | 92.83±1.02 | 93.41±1.27 |
| MLR+FCR1-c+FCR2-c | 54.29±2.96 | 93.66±1.51 | 93.98±0.95 |
| MLR+CFV+FCR1-c+FCR2-c | 51.45±3.33 | 93.46±1.26 | 94.22±1.36 | | 0 |
| Dataset | #(U) | #(E) |
| --- | --- | --- |
| OKLAHOMA | 17,425 | 892,528 | | | UNC | 18,163 | 766,800 |
| --- | --- | --- |
| DBLP | 60,744 | 52,890 |
| CITESEER | 29,751 | 77,218 | | 1 |
| Dataset | #(U) | #(E) |
| --- | --- | --- |
| OKLAHOMA | 17,425 | 892,528 | | | Dataset | #Datapoints | #Classes | #Features |
| --- | --- | --- | --- |
| YaleB | 2,414 | 38 | 1,024 |
| USPS | 9,298 | 10 | 256 |
| COIL100 | 7,200 | 100 | 1,024 |
| Glass | 214 | 6 | 10 |
| Climate | 540 | 2 | 18 |
| Ionosphere | 351 | 2 | 34 | | 0 |
| Dataset | #(U) | #(E) |
| --- | --- | --- |
| OKLAHOMA | 17,425 | 892,528 |
| UNC | 18,163 | 766,800 | | | DBLP | 60,744 | 52,890 |
| --- | --- | --- |
| CITESEER | 29,751 | 77,218 | | 1 |
| Dataset | #(U) | #(E) |
| --- | --- | --- |
| OKLAHOMA | 17,425 | 892,528 |
| UNC | 18,163 | 766,800 | | | COIL100 | 7,200 | 100 | 1,024 |
| --- | --- | --- | --- |
| Glass | 214 | 6 | 10 |
| Climate | 540 | 2 | 18 |
| Ionosphere | 351 | 2 | 34 | | 0 |
| | S=1 | S=2 | S=3 |
| --- | --- | --- | --- |
| N=0 | 32.07 | 32.31 | 32.67 | | | N=1 | 34.31 | 34.66 | 35.01 |
| --- | --- | --- | --- |
| N=2 | 36.71 | 36.94 | 37.09 |
| N=3 | 37.75 | 37.99 | 38.01 |
| N=4 | 38.98 | 39.36 | 39.42 | | 1 |
| | S=1 | S=2 | S=3 |
| --- | --- | --- | --- |
| N=0 | 32.07 | 32.31 | 32.67 | | | n= | k= | R.T.(ms) |
| --- | --- | --- |
| 1M | 1301 | 470 |
| 2.25M | 1383 | 1110 |
| 4M | 1323 | 2078 |
| 6.25M | 1261 | 4093 |
| 9M | 1256 | 7031 | | 0 |
| | S=1 | S=2 | S=3 |
| --- | --- | --- | --- |
| N=0 | 32.07 | 32.31 | 32.67 |
| N=1 | 34.31 | 34.66 | 35.01 | | | N=2 | 36.71 | 36.94 | 37.09 |
| --- | --- | --- | --- |
| N=3 | 37.75 | 37.99 | 38.01 |
| N=4 | 38.98 | 39.36 | 39.42 | | 1 |
| | S=1 | S=2 | S=3 |
| --- | --- | --- | --- |
| N=0 | 32.07 | 32.31 | 32.67 |
| N=1 | 34.31 | 34.66 | 35.01 | | | 4M | 1323 | 2078 |
| --- | --- | --- |
| 6.25M | 1261 | 4093 |
| 9M | 1256 | 7031 | | 0 |
| | | Arg1F1 | Arg2F1 | RelF1 |
| --- | --- | --- | --- | --- |
| Partial | GS+noEP | 86.67 | 99.13 | 86.24 | | | GS+EP | 83.62 | 94.98 | 83.52 | |
| --- | --- | --- | --- | --- |
| Auto+EP | 81.72 | 92.64 | 80.96 | |
| Exact | GS+noEP | 59.15 | 82.23 | 53.85 |
| GS+EP | 57.64 | 79.80 | 52.29 | |
| Auto+EP | 47.68 | 70.27 | 40.37 | | | 1 |
| | | Arg1F1 | Arg2F1 | RelF1 |
| --- | --- | --- | --- | --- |
| Partial | GS+noEP | 86.67 | 99.13 | 86.24 | | | | Arg1F1 | Arg2F1 | RelF1 |
| --- | --- | --- | --- |
| Subordinating | 88.46 | 97.93 | 86.98 |
| Coordinating | 90.34 | 90.34 | 82.39 |
| Discourseadverbial | 46.88 | 62.50 | 37.50 |
| All | 86.63 | 93.41 | 82.60 | | 0 |
| | | Arg1F1 | Arg2F1 | RelF1 |
| --- | --- | --- | --- | --- |
| Partial | GS+noEP | 86.67 | 99.13 | 86.24 | | | GS+EP | 83.62 | 94.98 | 83.52 | |
| --- | --- | --- | --- | --- |
| Auto+EP | 81.72 | 92.64 | 80.96 | |
| Exact | GS+noEP | 59.15 | 82.23 | 53.85 |
| GS+EP | 57.64 | 79.80 | 52.29 | |
| Auto+EP | 47.68 | 70.27 | 40.37 | | | 1 |
| | | Arg1F1 | Arg2F1 | RelF1 |
| --- | --- | --- | --- | --- |
| Partial | GS+noEP | 86.67 | 99.13 | 86.24 | | | Coordinating | 90.34 | 90.34 | 82.39 |
| --- | --- | --- | --- |
| Discourseadverbial | 46.88 | 62.50 | 37.50 |
| All | 86.63 | 93.41 | 82.60 | | 0 |
| | K=4 | K=8 | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| | GoogLeNet | VGG-16 | GoogLeNet | VGG-16 | | | | |
| | Tcomp | Tcomm | Tcomp | Tcomm | Tcomp | Tcomm | Tcomp | Tcomm | | | Plump-DP | 2.28 | 0.40 | 7.83 | 4.09 | 2.32 | 0.57 | 7.82 | 5.51 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| Quant-DP | 0.20 | 1.47 | 0.29 | 1.93 | | | | |
| Slim-DP | 0.18 | 1.18 | 0.25 | 1.65 | | | | | | 1 |
| | K=4 | K=8 | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| | GoogLeNet | VGG-16 | GoogLeNet | VGG-16 | | | | |
| | Tcomp | Tcomm | Tcomp | Tcomm | Tcomp | Tcomm | Tcomp | Tcomm | | | | VGG-F | CaffeNet | GoogLeNet | VGG-16 | VGG-19 | ResNet-152 | Mean |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Baseline | 12.62 | 12.9 | 10.29 | 8.62 | 8.40 | 8.99 | 10.30 |
| FFF(w/oData) | 81.59 | 80.92 | 56.44 | 47.10 | 43.62 | 29.78 | 56.58 |
| Ours(w/oData) | 92.37 | 89.04 | 75.28 | 71.59 | 69.45 | 60.72 | 76.41 |
| UAP(wData) | 93.8 | 93.1 | 78.5 | 77.8 | 80.8 | 84.0 | 84.67 | | 0 |
| | K=4 | K=8 | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| | GoogLeNet | VGG-16 | GoogLeNet | VGG-16 | | | | |
| | Tcomp | Tcomm | Tcomp | Tcomm | Tcomp | Tcomm | Tcomp | Tcomm | | | Plump-DP | 2.28 | 0.40 | 7.83 | 4.09 | 2.32 | 0.57 | 7.82 | 5.51 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| Quant-DP | 0.20 | 1.47 | 0.29 | 1.93 | | | | |
| Slim-DP | 0.18 | 1.18 | 0.25 | 1.65 | | | | | | 1 |
| | K=4 | K=8 | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| | GoogLeNet | VGG-16 | GoogLeNet | VGG-16 | | | | |
| | Tcomp | Tcomm | Tcomp | Tcomm | Tcomp | Tcomm | Tcomp | Tcomm | | | FFF(w/oData) | 81.59 | 80.92 | 56.44 | 47.10 | 43.62 | 29.78 | 56.58 |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Ours(w/oData) | 92.37 | 89.04 | 75.28 | 71.59 | 69.45 | 60.72 | 76.41 |
| UAP(wData) | 93.8 | 93.1 | 78.5 | 77.8 | 80.8 | 84.0 | 84.67 | | 0 |
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