premise string | hypothesis string | label int64 |
|---|---|---|
| #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 | | 1 |
| #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 | | | #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 | | 0 |
| #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 | | 1 |
| #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 | | | 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 | | 0 |
| Cells | ρ | u | v | p | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| | Error | Rate | Error | Rate | Error | Rate | Error | Rate | | | 100×100 | 2.802E-6 | - | 4.464E-6 | - | 4.464E-6 | - | 9.183E-6 | - |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 200×200 | 5.982E-7 | 2.23 | 1.114E-6 | 2.00 | 1.114E-6 | 2.00 | 2.308E-6 | 1.99 |
| 400×400 | 1.377E-7 | 2.12 | 2.779E-7 | 2.00 | 2.779E-7 | 2.00 | 5.781E-7 | 1.99 |
| 800×800 | 3.338E-8 | 2.05 | 6.939E-8 | 2.00 | 6.939E-8 | 2.00 | 1.447E-7 | 1.99 | | 1 |
| Cells | ρ | u | v | p | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| | Error | Rate | Error | Rate | Error | Rate | Error | Rate | | | c1 | c2 | c3 | c4 | c5 | AA | OA |
| --- | --- | --- | --- | --- | --- | --- |
| 0.8689 | 0.8282 | 0.8054 | 0.8297 | 0.8424 | 0.8349 | 0.8623 |
| 0.8913 | 0.8648 | 0.8824 | 0.8910 | 0.8231 | 0.8705 | 0.8913 |
| 0.9281 | 0.9292 | 0.9386 | 0.9413 | 0.8593 | 0.9193 | 0.9305 |
| 0.8628 | 0.9407 | 0.9456 | 0.9354 | 0.8724 | 0.9114 | 0.9214 |
| 0.9347 | 0.9739 | 0.9207 | 0.9642 | 0.9242 | 0.9435 | 0.9505 |
| 0.9620 | 0.9483 | 0.9856 | 0.9850 | 0.9879 | 0.9738 | 0.9811 | | 0 |
| Cells | ρ | u | v | p | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| | Error | Rate | Error | Rate | Error | Rate | Error | Rate |
| 100×100 | 2.802E-6 | - | 4.464E-6 | - | 4.464E-6 | - | 9.183E-6 | - | | | 200×200 | 5.982E-7 | 2.23 | 1.114E-6 | 2.00 | 1.114E-6 | 2.00 | 2.308E-6 | 1.99 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 400×400 | 1.377E-7 | 2.12 | 2.779E-7 | 2.00 | 2.779E-7 | 2.00 | 5.781E-7 | 1.99 |
| 800×800 | 3.338E-8 | 2.05 | 6.939E-8 | 2.00 | 6.939E-8 | 2.00 | 1.447E-7 | 1.99 | | 1 |
| Cells | ρ | u | v | p | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| | Error | Rate | Error | Rate | Error | Rate | Error | Rate |
| 100×100 | 2.802E-6 | - | 4.464E-6 | - | 4.464E-6 | - | 9.183E-6 | - | | | 0.8628 | 0.9407 | 0.9456 | 0.9354 | 0.8724 | 0.9114 | 0.9214 |
| --- | --- | --- | --- | --- | --- | --- |
| 0.9347 | 0.9739 | 0.9207 | 0.9642 | 0.9242 | 0.9435 | 0.9505 |
| 0.9620 | 0.9483 | 0.9856 | 0.9850 | 0.9879 | 0.9738 | 0.9811 | | 0 |
| Cube,n=100,000 | | | | |
| --- | --- | --- | --- | --- |
| Input | d=6 | d=9 | d=12 | d=15 |
| Exact | 73.24 | 235.57 | 1520 | 27520 |
| Approx | 64.63 | 162.47 | 3210 | 16990 |
| Har-Peled | 207.52 | 24020 | 119890 | 138240 |
| Hybrid1 | 87.23 | 180.31 | 17960 | 15450 |
| Hybrid2 | 87.59 | 171.43 | 11800 | 12230 |
| Algorithm?? | 5.3 | 7.2 | 8.5 | 10.9 |
| Algorithm??-5 | 7.33 | 9.62 | 12.14 | 14.55 |
| Algorithm??-3 | 4.41 | 5.77 | 7.34 | 8.99 |
| Algorithm??-2 | 2.99 | 3.89 | 4.85 | 5.9 |
| Ball,n=100,000 | | | | |
| Input | d=6 | d=9 | d=12 | d=15 |
| Exact | 68770 | 111590 | 178430 | 264660 |
| Approx | 18550 | 48600 | 105200 | 168390 |
| Har-Peled | 86680 | 102800 | 120200 | 137530 |
| Hybrid1 | 93940 | 136260 | 73620 | 222960 |
| Hybrid2 | 71350 | 100030 | 146520 | 218510 | | | Algorithm?? | 5.5 | 6.42 | 8.12 | 9.46 |
| --- | --- | --- | --- | --- |
| Algorithm??-5 | 7.25 | 9.58 | 11.98 | 14.35 |
| Algorithm??-3 | 4.38 | 5.87 | 7.29 | 8.64 |
| Algorithm??-2 | 2.89 | 3.89 | 4.82 | 5.79 |
| Ellipse,n=100,000 | | | | |
| Input | d=6 | d=9 | d=12 | d=15 |
| Exact | 58 | 1110 | 770 | 2760 |
| Approx | 31.9 | 504 | 589 | 1300 |
| Har-Peled | 3040 | 109760 | 127280 | 134070 |
| Hybrid1 | 90 | 2280 | 3240 | 5580 |
| Hybrid2 | 98 | 2020 | 3900 | 5200 |
| Algorithm?? | 5.21 | 6.9 | 7.28 | 9.5 |
| Algorithm??-5 | 7.3 | 9.5 | 12.1 | 16.5 |
| Algorithm??-3 | 4.39 | 5.79 | 7.2 | 8.6 |
| Algorithm??-2 | 2.988 | 4.2 | 4.9 | 5.8 |
| RegularEllipse,n=100,000 | | | | |
| Input | d=6 | d=9 | d=12 | d=15 |
| Exact | 24 | 350 | 150 | 2280 |
| Approx | 31.7 | 285 | 110.5 | 1440 |
| Har-Peled | 530 | 62010 | 123720 | 133850 |
| Hybrid1 | 71 | 308 | 3430 | 4070 |
| Hybrid2 | 72.9 | 268 | 4590 | 119.5 |
| Algorithm?? | 5.06 | 6.84 | 8.22 | 10.7 |
| Algorithm??-5 | 7.3 | 11.2 | 12.2 | 17.8 |
| Algorithm??-3 | 4.39 | 5.95 | 7.3 | 8.65 |
| Algorithm??-2 | 2.952 | 4.05 | 4.8 | 5.8 | | 1 |
| Cube,n=100,000 | | | | |
| --- | --- | --- | --- | --- |
| Input | d=6 | d=9 | d=12 | d=15 |
| Exact | 73.24 | 235.57 | 1520 | 27520 |
| Approx | 64.63 | 162.47 | 3210 | 16990 |
| Har-Peled | 207.52 | 24020 | 119890 | 138240 |
| Hybrid1 | 87.23 | 180.31 | 17960 | 15450 |
| Hybrid2 | 87.59 | 171.43 | 11800 | 12230 |
| Algorithm?? | 5.3 | 7.2 | 8.5 | 10.9 |
| Algorithm??-5 | 7.33 | 9.62 | 12.14 | 14.55 |
| Algorithm??-3 | 4.41 | 5.77 | 7.34 | 8.99 |
| Algorithm??-2 | 2.99 | 3.89 | 4.85 | 5.9 |
| Ball,n=100,000 | | | | |
| Input | d=6 | d=9 | d=12 | d=15 |
| Exact | 68770 | 111590 | 178430 | 264660 |
| Approx | 18550 | 48600 | 105200 | 168390 |
| Har-Peled | 86680 | 102800 | 120200 | 137530 |
| Hybrid1 | 93940 | 136260 | 73620 | 222960 |
| Hybrid2 | 71350 | 100030 | 146520 | 218510 | | | Input<br>Points | Cube<br>10,000 | Cube<br>100,000 | Cube<br>1,000,000 | Ball<br>10,000 | Ball<br>100,000 | Ball<br>200,000 |
| --- | --- | --- | --- | --- | --- | --- |
| Exact | 1.2 | 6 | 72 | 0.23 | 1.88 | 7.43 |
| Approx | 0.3 | 0.7 | 41 | 0.2 | 1.97 | 3.9 |
| Har-Peled | 2 | 16 | 322 | 0.39 | 10 | 41.70 |
| Hybrid1 | 2 | 17 | 183 | 1.5 | 16.9 | 63.11 |
| Hybrid2 | 1.94 | 16 | 163 | 1.4 | 27.4 | 62.11 |
| Algorithm?? | 0.25 | 3.1 | 30.9 | 0.32 | 2.68 | 5.3 |
| Algorithm??-5 | 0.34 | 3.6 | 38 | 0.52 | 3.981 | 7.574 |
| Algorithm??-3 | 0.21 | 2.31 | 26.32 | 0.214 | 2.19 | 4.557 |
| Algorithm??-2 | 0.18 | 1.49 | 17.48 | 0.148 | 1.48 | 3.08 |
| Input<br>Points | Sphere<br>10,000 | Sphere<br>100,000 | Sphere<br>200,000 | Ellipsoid<br>1,000,000 | Ellipsoidrotated<br>1,000,000 | Ellipsoidregular<br>1,000,000 |
| Exact | 0.29 | 3.03 | 5.9 | 100.28 | 52.81 | 51.86 |
| Approx | 0.27 | 2.8 | 5.7 | 106.08 | 51.92 | 52.53 |
| Har-Peled | 122.71 | 7.96 | 33.27 | 284.69 | 103.88 | 113.8 |
| Hybrid1 | 1.29 | 0.75 | 3.22 | 95.19 | 66.65 | 66.93 |
| Hybrid2 | 1.43 | 0.71 | 2.94 | 0.114 | 65.1 | 68.75 |
| Algorithm?? | 0.27 | 2.6 | 6.1 | 23.5 | 26.84 | 27.8 |
| Algorithm??-5 | 0.34 | 3.59 | 7.69 | 44.3 | 38.65 | 38.89 |
| Algorithm??-3 | 0.23 | 2.17 | 4.56 | 25.89 | 23.91 | 23.39 |
| Algorithm??-2 | 0.14 | 1.53 | 3.66 | 15.23 | 15.77 | 15.44 | | 0 |
| Cube,n=100,000 | | | | |
| --- | --- | --- | --- | --- |
| Input | d=6 | d=9 | d=12 | d=15 |
| Exact | 73.24 | 235.57 | 1520 | 27520 |
| Approx | 64.63 | 162.47 | 3210 | 16990 |
| Har-Peled | 207.52 | 24020 | 119890 | 138240 |
| Hybrid1 | 87.23 | 180.31 | 17960 | 15450 |
| Hybrid2 | 87.59 | 171.43 | 11800 | 12230 |
| Algorithm?? | 5.3 | 7.2 | 8.5 | 10.9 |
| Algorithm??-5 | 7.33 | 9.62 | 12.14 | 14.55 |
| Algorithm??-3 | 4.41 | 5.77 | 7.34 | 8.99 |
| Algorithm??-2 | 2.99 | 3.89 | 4.85 | 5.9 |
| Ball,n=100,000 | | | | |
| Input | d=6 | d=9 | d=12 | d=15 |
| Exact | 68770 | 111590 | 178430 | 264660 |
| Approx | 18550 | 48600 | 105200 | 168390 |
| Har-Peled | 86680 | 102800 | 120200 | 137530 |
| Hybrid1 | 93940 | 136260 | 73620 | 222960 |
| Hybrid2 | 71350 | 100030 | 146520 | 218510 |
| Algorithm?? | 5.5 | 6.42 | 8.12 | 9.46 |
| Algorithm??-5 | 7.25 | 9.58 | 11.98 | 14.35 |
| Algorithm??-3 | 4.38 | 5.87 | 7.29 | 8.64 |
| Algorithm??-2 | 2.89 | 3.89 | 4.82 | 5.79 |
| Ellipse,n=100,000 | | | | |
| Input | d=6 | d=9 | d=12 | d=15 |
| Exact | 58 | 1110 | 770 | 2760 |
| Approx | 31.9 | 504 | 589 | 1300 | | | Har-Peled | 3040 | 109760 | 127280 | 134070 |
| --- | --- | --- | --- | --- |
| Hybrid1 | 90 | 2280 | 3240 | 5580 |
| Hybrid2 | 98 | 2020 | 3900 | 5200 |
| Algorithm?? | 5.21 | 6.9 | 7.28 | 9.5 |
| Algorithm??-5 | 7.3 | 9.5 | 12.1 | 16.5 |
| Algorithm??-3 | 4.39 | 5.79 | 7.2 | 8.6 |
| Algorithm??-2 | 2.988 | 4.2 | 4.9 | 5.8 |
| RegularEllipse,n=100,000 | | | | |
| Input | d=6 | d=9 | d=12 | d=15 |
| Exact | 24 | 350 | 150 | 2280 |
| Approx | 31.7 | 285 | 110.5 | 1440 |
| Har-Peled | 530 | 62010 | 123720 | 133850 |
| Hybrid1 | 71 | 308 | 3430 | 4070 |
| Hybrid2 | 72.9 | 268 | 4590 | 119.5 |
| Algorithm?? | 5.06 | 6.84 | 8.22 | 10.7 |
| Algorithm??-5 | 7.3 | 11.2 | 12.2 | 17.8 |
| Algorithm??-3 | 4.39 | 5.95 | 7.3 | 8.65 |
| Algorithm??-2 | 2.952 | 4.05 | 4.8 | 5.8 | | 1 |
| Cube,n=100,000 | | | | |
| --- | --- | --- | --- | --- |
| Input | d=6 | d=9 | d=12 | d=15 |
| Exact | 73.24 | 235.57 | 1520 | 27520 |
| Approx | 64.63 | 162.47 | 3210 | 16990 |
| Har-Peled | 207.52 | 24020 | 119890 | 138240 |
| Hybrid1 | 87.23 | 180.31 | 17960 | 15450 |
| Hybrid2 | 87.59 | 171.43 | 11800 | 12230 |
| Algorithm?? | 5.3 | 7.2 | 8.5 | 10.9 |
| Algorithm??-5 | 7.33 | 9.62 | 12.14 | 14.55 |
| Algorithm??-3 | 4.41 | 5.77 | 7.34 | 8.99 |
| Algorithm??-2 | 2.99 | 3.89 | 4.85 | 5.9 |
| Ball,n=100,000 | | | | |
| Input | d=6 | d=9 | d=12 | d=15 |
| Exact | 68770 | 111590 | 178430 | 264660 |
| Approx | 18550 | 48600 | 105200 | 168390 |
| Har-Peled | 86680 | 102800 | 120200 | 137530 |
| Hybrid1 | 93940 | 136260 | 73620 | 222960 |
| Hybrid2 | 71350 | 100030 | 146520 | 218510 |
| Algorithm?? | 5.5 | 6.42 | 8.12 | 9.46 |
| Algorithm??-5 | 7.25 | 9.58 | 11.98 | 14.35 |
| Algorithm??-3 | 4.38 | 5.87 | 7.29 | 8.64 |
| Algorithm??-2 | 2.89 | 3.89 | 4.82 | 5.79 |
| Ellipse,n=100,000 | | | | |
| Input | d=6 | d=9 | d=12 | d=15 |
| Exact | 58 | 1110 | 770 | 2760 |
| Approx | 31.9 | 504 | 589 | 1300 | | | Hybrid2 | 1.94 | 16 | 163 | 1.4 | 27.4 | 62.11 |
| --- | --- | --- | --- | --- | --- | --- |
| Algorithm?? | 0.25 | 3.1 | 30.9 | 0.32 | 2.68 | 5.3 |
| Algorithm??-5 | 0.34 | 3.6 | 38 | 0.52 | 3.981 | 7.574 |
| Algorithm??-3 | 0.21 | 2.31 | 26.32 | 0.214 | 2.19 | 4.557 |
| Algorithm??-2 | 0.18 | 1.49 | 17.48 | 0.148 | 1.48 | 3.08 |
| Input<br>Points | Sphere<br>10,000 | Sphere<br>100,000 | Sphere<br>200,000 | Ellipsoid<br>1,000,000 | Ellipsoidrotated<br>1,000,000 | Ellipsoidregular<br>1,000,000 |
| Exact | 0.29 | 3.03 | 5.9 | 100.28 | 52.81 | 51.86 |
| Approx | 0.27 | 2.8 | 5.7 | 106.08 | 51.92 | 52.53 |
| Har-Peled | 122.71 | 7.96 | 33.27 | 284.69 | 103.88 | 113.8 |
| Hybrid1 | 1.29 | 0.75 | 3.22 | 95.19 | 66.65 | 66.93 |
| Hybrid2 | 1.43 | 0.71 | 2.94 | 0.114 | 65.1 | 68.75 |
| Algorithm?? | 0.27 | 2.6 | 6.1 | 23.5 | 26.84 | 27.8 |
| Algorithm??-5 | 0.34 | 3.59 | 7.69 | 44.3 | 38.65 | 38.89 |
| Algorithm??-3 | 0.23 | 2.17 | 4.56 | 25.89 | 23.91 | 23.39 |
| Algorithm??-2 | 0.14 | 1.53 | 3.66 | 15.23 | 15.77 | 15.44 | | 0 |
| FormModel | I | II | III | IV |
| --- | --- | --- | --- | --- |
| Male/Right-Handed | 3983 | 6492 | 4132 | 2542 | | | Male/Left-Handed | 386 | 364 | 248 | 182 |
| --- | --- | --- | --- | --- |
| Female/Right-Handed | 1536 | 1788 | 2150 | 827 |
| Female/Left-Handed | 56 | 124 | 168 | 136 |
| Total | 5961 | 8768 | 6698 | 3687 | | 1 |
| FormModel | I | II | III | IV |
| --- | --- | --- | --- | --- |
| Male/Right-Handed | 3983 | 6492 | 4132 | 2542 | | | Age | 10<br>6<br>10×nPBMC | numberofindividuals |
| --- | --- | --- |
| 0 | 5.03 | 48 |
| 1-4 | 4.93 | 53 |
| 5-9 | 4.86 | 19 |
| 10-14 | 4.86 | 19 |
| 15-19 | 4.56 | 33 |
| 20-24 | 3.88 | 26 |
| 25-29 | 3.75 | 47 |
| 30-34 | 3.61 | 65 |
| 35-39 | 3.54 | 73 |
| 40-44 | 3.52 | 52 |
| 45-49 | 3.37 | 55 |
| 50-54 | 3.17 | 16 | | 0 |
| FormModel | I | II | III | IV |
| --- | --- | --- | --- | --- |
| Male/Right-Handed | 3983 | 6492 | 4132 | 2542 | | | Male/Left-Handed | 386 | 364 | 248 | 182 |
| --- | --- | --- | --- | --- |
| Female/Right-Handed | 1536 | 1788 | 2150 | 827 |
| Female/Left-Handed | 56 | 124 | 168 | 136 |
| Total | 5961 | 8768 | 6698 | 3687 | | 1 |
| FormModel | I | II | III | IV |
| --- | --- | --- | --- | --- |
| Male/Right-Handed | 3983 | 6492 | 4132 | 2542 | | | 15-19 | 4.56 | 33 |
| --- | --- | --- |
| 20-24 | 3.88 | 26 |
| 25-29 | 3.75 | 47 |
| 30-34 | 3.61 | 65 |
| 35-39 | 3.54 | 73 |
| 40-44 | 3.52 | 52 |
| 45-49 | 3.37 | 55 |
| 50-54 | 3.17 | 16 | | 0 |
| Servers | PIRcomplexity | QPIRcomplexity |
| --- | --- | --- |
| k=1 | Θ(n) | Θ(n) | | | k=2 | O(n) | O(n) |
| --- | --- | --- |
| k=3 | O(n) | O(n) |
| k=4 | O(n) | O(n) | | 1 |
| Servers | PIRcomplexity | QPIRcomplexity |
| --- | --- | --- |
| k=1 | Θ(n) | Θ(n) | | | Queries | LengthofLDC | LengthofLQDC |
| --- | --- | --- |
| q=1 | don’texist | Θ(n)<br>2 |
| q=2 | Θ(n)<br>2 | O(n)<br>2 |
| q=3 | O(n)<br>2 | O(n)<br>2 |
| q=4 | O(n)<br>2 | O(n)<br>2 | | 0 |
| Servers | PIRcomplexity | QPIRcomplexity |
| --- | --- | --- |
| k=1 | Θ(n) | Θ(n) |
| k=2 | O(n) | O(n) | | | k=3 | O(n) | O(n) |
| --- | --- | --- |
| k=4 | O(n) | O(n) | | 1 |
| Servers | PIRcomplexity | QPIRcomplexity |
| --- | --- | --- |
| k=1 | Θ(n) | Θ(n) |
| k=2 | O(n) | O(n) | | | q=3 | O(n)<br>2 | O(n)<br>2 |
| --- | --- | --- |
| q=4 | O(n)<br>2 | O(n)<br>2 | | 0 |
| M | L | N | g1 | g2 | M | L | N | g1 | g2 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 32 | 32 | 64 | 16 | 2 | 64 | 64 | 64 | 32 | 2 | | | 64 | 64 | 128 | 16 | 4 | 128 | 128 | 128 | 32 | 4 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 128 | 128 | 256 | 32 | 4 | 256 | 256 | 256 | 64 | 4 |
| 256 | 256 | 512 | 32 | 8 | 512 | 512 | 512 | 64 | 8 |
| 512 | 512 | 1024 | 64 | 8 | 1024 | 1024 | 1024 | 128 | 8 | | 1 |
| M | L | N | g1 | g2 | M | L | N | g1 | g2 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 32 | 32 | 64 | 16 | 2 | 64 | 64 | 64 | 32 | 2 | | | 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 | | 0 |
| M | L | N | g1 | g2 | M | L | N | g1 | g2 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 32 | 32 | 64 | 16 | 2 | 64 | 64 | 64 | 32 | 2 |
| 64 | 64 | 128 | 16 | 4 | 128 | 128 | 128 | 32 | 4 | | | 128 | 128 | 256 | 32 | 4 | 256 | 256 | 256 | 64 | 4 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 256 | 256 | 512 | 32 | 8 | 512 | 512 | 512 | 64 | 8 |
| 512 | 512 | 1024 | 64 | 8 | 1024 | 1024 | 1024 | 128 | 8 | | 1 |
| M | L | N | g1 | g2 | M | L | N | g1 | g2 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 32 | 32 | 64 | 16 | 2 | 64 | 64 | 64 | 32 | 2 |
| 64 | 64 | 128 | 16 | 4 | 128 | 128 | 128 | 32 | 4 | | | 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 | | 0 |
| Corpus | Trainset | Devset | Testset |
| --- | --- | --- | --- |
| sentences | 5661 | 939 | 961 |
| disease | 5148 | 791 | 961 |
| spe.dis. | 2959 | 409 | 556 | | | diseaseclass | 781 | 127 | 121 |
| --- | --- | --- | --- |
| modifier | 1292 | 218 | 264 |
| comp.men. | 116 | 37 | 20 | | 1 |
| Corpus | Trainset | Devset | Testset |
| --- | --- | --- | --- |
| sentences | 5661 | 939 | 961 |
| disease | 5148 | 791 | 961 |
| spe.dis. | 2959 | 409 | 556 | | | Corpus |
| --- |
| DUC’04MedicinaCl´ınicaPistes |
| 0.80’2.88’1.13’<br>0.40’0.26’0.53’<br>0.33’0.26’0.41’<br>0.31’0.26’0.38’ |
| DUC’04MedicinaCl´ınicaPistes |
| 1.71’3.10’2.70’<br>1.35’0.40’2.11’<br>1.30’0.38’2.13’<br>0.41’0.28’0.51’ |
| DUC’04MedicinaCl´ınicaPistes |
| 9.25’3.38’18.63’<br>9.28’0.75’18.38’<br>9.16’0.73’20.76’<br>3.93’0.46’8.35’ | | 0 |
| Corpus | Trainset | Devset | Testset |
| --- | --- | --- | --- |
| sentences | 5661 | 939 | 961 |
| disease | 5148 | 791 | 961 |
| spe.dis. | 2959 | 409 | 556 |
| diseaseclass | 781 | 127 | 121 | | | modifier | 1292 | 218 | 264 |
| --- | --- | --- | --- |
| comp.men. | 116 | 37 | 20 | | 1 |
| Corpus | Trainset | Devset | Testset |
| --- | --- | --- | --- |
| sentences | 5661 | 939 | 961 |
| disease | 5148 | 791 | 961 |
| spe.dis. | 2959 | 409 | 556 |
| diseaseclass | 781 | 127 | 121 | | | DUC’04MedicinaCl´ınicaPistes |
| --- |
| 9.25’3.38’18.63’<br>9.28’0.75’18.38’<br>9.16’0.73’20.76’<br>3.93’0.46’8.35’ | | 0 |
| SchematicStructure |
| --- |
| - |
| (G,(GO,T),G) | | | |
| --- |
| (G,T,G) |
| |
| |
| |
| (G,T,G) |
| |
| |
| | | 1 |
| SchematicStructure |
| --- |
| - |
| (G,(GO,T),G) | | | SchematicStructure |
| --- |
| - |
| (V,P,(A,T),P,V) |
| (V,P,A,P,V) |
| |
| (V,P,A,P,V) |
| | | 0 |
| SchematicStructure |
| --- |
| - |
| (G,(GO,T),G) |
| |
| (G,T,G) |
| |
| |
| |
| (G,T,G) | | | |
| --- |
| |
| | | 1 |
| SchematicStructure |
| --- |
| - |
| (G,(GO,T),G) |
| |
| (G,T,G) |
| |
| |
| |
| (G,T,G) | | | (V,P,(A,T),P,V) |
| --- |
| (V,P,A,P,V) |
| |
| (V,P,A,P,V) |
| | | 0 |
| PDF | LOχ/N | NLOχ/N |
| --- | --- | --- |
| Alekhin | 3.34 | 29.1 |
| CTEQ6 | 1.67 | 2.02 |
| CTEQ5 | 3.25 | 6.48 |
| CTEQ4 | 2.23 | 2.41 | | | MRST02 | 2.24 | 1.89 |
| --- | --- | --- |
| GRV98 | 8.47 | 9.58 | | 1 |
| PDF | LOχ/N | NLOχ/N |
| --- | --- | --- |
| Alekhin | 3.34 | 29.1 |
| CTEQ6 | 1.67 | 2.02 |
| CTEQ5 | 3.25 | 6.48 |
| CTEQ4 | 2.23 | 2.41 | | | n | k | O-MMR | C-MMR | DP-H | RI-GA | HI-GA | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| µ | σ | µ | σ | µ | σ | µ | σ | µ | σ | | |
| 25 | 5 | .398 | .070 | .380 | .066 | .398 | .069 | .448 | .061 | .464 | .056 |
| 10 | .759 | .044 | .767 | .050 | .759 | .045 | .705 | .048 | .767 | .044 | |
| 50 | 10 | .585 | .047 | .561 | .046 | .585 | .046 | .459 | .047 | .588 | .044 |
| 25 | .908 | .013 | .910 | .013 | .908 | .015 | .685 | .038 | .910 | .036 | |
| 100 | 25 | .832 | .019 | .829 | .024 | .831 | .020 | .445 | .043 | .831 | .019 |
| 50 | .950 | .006 | .950 | .006 | .941 | .006 | .559 | .030 | .950 | .006 | |
| 250 | 25 | .654 | .021 | .639 | .022 | .654 | .021 | .121 | .029 | .681 | .028 |
| 50 | .890 | .008 | .886 | .009 | .889 | .008 | .221 | .027 | .891 | .008 | |
| 100 | .969 | .002 | .970 | .002 | .969 | .002 | .348 | .022 | .970 | .022 | | | 0 |
| PDF | LOχ/N | NLOχ/N |
| --- | --- | --- |
| Alekhin | 3.34 | 29.1 |
| CTEQ6 | 1.67 | 2.02 | | | CTEQ5 | 3.25 | 6.48 |
| --- | --- | --- |
| CTEQ4 | 2.23 | 2.41 |
| MRST02 | 2.24 | 1.89 |
| GRV98 | 8.47 | 9.58 | | 1 |
| PDF | LOχ/N | NLOχ/N |
| --- | --- | --- |
| Alekhin | 3.34 | 29.1 |
| CTEQ6 | 1.67 | 2.02 | | | 25 | 5 | .398 | .070 | .380 | .066 | .398 | .069 | .448 | .061 | .464 | .056 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 10 | .759 | .044 | .767 | .050 | .759 | .045 | .705 | .048 | .767 | .044 | |
| 50 | 10 | .585 | .047 | .561 | .046 | .585 | .046 | .459 | .047 | .588 | .044 |
| 25 | .908 | .013 | .910 | .013 | .908 | .015 | .685 | .038 | .910 | .036 | |
| 100 | 25 | .832 | .019 | .829 | .024 | .831 | .020 | .445 | .043 | .831 | .019 |
| 50 | .950 | .006 | .950 | .006 | .941 | .006 | .559 | .030 | .950 | .006 | |
| 250 | 25 | .654 | .021 | .639 | .022 | .654 | .021 | .121 | .029 | .681 | .028 |
| 50 | .890 | .008 | .886 | .009 | .889 | .008 | .221 | .027 | .891 | .008 | |
| 100 | .969 | .002 | .970 | .002 | .969 | .002 | .348 | .022 | .970 | .022 | | | 0 |
| | Usage | Pessimism | Addiction |
| --- | --- | --- | --- |
| Neuroticism | .009 | .180 | .426** |
| Extraversion | .116 | -.048 | -.043 |
| Openness | -.019 | .004 | .055 | | | Agreeableness | -.053 | -.111 | -.042 |
| --- | --- | --- | --- |
| Conscientiousness | .186 | .025 | -.241* |
| Usage | 1 | .684** | -.009 |
| Pessimism | .684** | 1 | .078 |
| Addiction | -.009 | .078 | 1 | | 1 |
| | Usage | Pessimism | Addiction |
| --- | --- | --- | --- |
| Neuroticism | .009 | .180 | .426** |
| Extraversion | .116 | -.048 | -.043 |
| Openness | -.019 | .004 | .055 | | | | NoFBaccount |
| --- | --- |
| Neuroticism | -.070 |
| Extraversion | -.170 |
| Openness | -.301** |
| Agreeableness | -.118 |
| Conscientiousness | -.127 | | 0 |
| | Usage | Pessimism | Addiction |
| --- | --- | --- | --- |
| Neuroticism | .009 | .180 | .426** |
| Extraversion | .116 | -.048 | -.043 |
| Openness | -.019 | .004 | .055 |
| Agreeableness | -.053 | -.111 | -.042 |
| Conscientiousness | .186 | .025 | -.241* | | | Usage | 1 | .684** | -.009 |
| --- | --- | --- | --- |
| Pessimism | .684** | 1 | .078 |
| Addiction | -.009 | .078 | 1 | | 1 |
| | Usage | Pessimism | Addiction |
| --- | --- | --- | --- |
| Neuroticism | .009 | .180 | .426** |
| Extraversion | .116 | -.048 | -.043 |
| Openness | -.019 | .004 | .055 |
| Agreeableness | -.053 | -.111 | -.042 |
| Conscientiousness | .186 | .025 | -.241* | | | Agreeableness | -.118 |
| --- | --- |
| Conscientiousness | -.127 | | 0 |
| Key<br>Age | Differential<br>Equations | Celis<br>Theorem | Sims<br>n=8192 | Sims<br>n=65536 |
| --- | --- | --- | --- | --- |
| 1 | 0.083458328 | 0.083458403 | 0.083621434±0.004965813 | 0.083429753±0.001831579 | | | 2 | 0.188976794 | 0.188976856 | 0.189157158±0.008679919 | 0.189075507±0.003140080 |
| --- | --- | --- | --- | --- |
| 3 | 0.323793458 | 0.323793385 | 0.323707145±0.008193784 | 0.323798214±0.003014369 |
| 4 | 0.303363752 | 0.303363594 | 0.302934079±0.008740126 | 0.303259705±0.003202237 |
| 5 | 0.095303269 | 0.095303242 | 0.095385891±0.009795472 | 0.095321415±0.003651414 |
| 6 | 0.005092100 | 0.005092104 | 0.005182087±0.001441913 | 0.005103134±0.000523627 |
| 7 | 0.000012417 | 0.000012417 | 0.000012208±0.000039393 | 0.000012271±0.000014530 | | 1 |
| Key<br>Age | Differential<br>Equations | Celis<br>Theorem | Sims<br>n=8192 | Sims<br>n=65536 |
| --- | --- | --- | --- | --- |
| 1 | 0.083458328 | 0.083458403 | 0.083621434±0.004965813 | 0.083429753±0.001831579 | | | Key<br>Age | Differential<br>Equations | Celis<br>Theorem | Sims<br>n=8192 | Sims<br>n=65536 |
| --- | --- | --- | --- | --- |
| 1 | 0.083458328 | 0.083458403 | 0.083847726±0.004951031 | 0.083431054±0.001784843 |
| 2 | 0.188976794 | 0.188976856 | 0.189757389±0.008688261 | 0.188963523±0.003113784 |
| 3 | 0.323793458 | 0.323793385 | 0.324344385±0.008153945 | 0.323768419±0.002991134 |
| 4 | 0.303363752 | 0.303363594 | 0.302252763±0.008952148 | 0.303332755±0.003156650 |
| 5 | 0.095303269 | 0.095303242 | 0.094714212±0.009595910 | 0.095374789±0.003633155 |
| 6 | 0.005092100 | 0.005092104 | 0.005069262±0.001446734 | 0.005116963±0.000521156 |
| 7 | 0.000012417 | 0.000012417 | 0.000014264±0.000041576 | 0.000012496±0.000014498 | | 0 |
| Key<br>Age | Differential<br>Equations | Celis<br>Theorem | Sims<br>n=8192 | Sims<br>n=65536 |
| --- | --- | --- | --- | --- |
| 1 | 0.083458328 | 0.083458403 | 0.083621434±0.004965813 | 0.083429753±0.001831579 |
| 2 | 0.188976794 | 0.188976856 | 0.189157158±0.008679919 | 0.189075507±0.003140080 | | | 3 | 0.323793458 | 0.323793385 | 0.323707145±0.008193784 | 0.323798214±0.003014369 |
| --- | --- | --- | --- | --- |
| 4 | 0.303363752 | 0.303363594 | 0.302934079±0.008740126 | 0.303259705±0.003202237 |
| 5 | 0.095303269 | 0.095303242 | 0.095385891±0.009795472 | 0.095321415±0.003651414 |
| 6 | 0.005092100 | 0.005092104 | 0.005182087±0.001441913 | 0.005103134±0.000523627 |
| 7 | 0.000012417 | 0.000012417 | 0.000012208±0.000039393 | 0.000012271±0.000014530 | | 1 |
| Key<br>Age | Differential<br>Equations | Celis<br>Theorem | Sims<br>n=8192 | Sims<br>n=65536 |
| --- | --- | --- | --- | --- |
| 1 | 0.083458328 | 0.083458403 | 0.083621434±0.004965813 | 0.083429753±0.001831579 |
| 2 | 0.188976794 | 0.188976856 | 0.189157158±0.008679919 | 0.189075507±0.003140080 | | | 6 | 0.005092100 | 0.005092104 | 0.005069262±0.001446734 | 0.005116963±0.000521156 |
| --- | --- | --- | --- | --- |
| 7 | 0.000012417 | 0.000012417 | 0.000014264±0.000041576 | 0.000012496±0.000014498 | | 0 |
| Model | Kodak<br>PSNRMSESSIMMSSSIM | | | |
| --- | --- | --- | --- | --- |
| JPEG<br>MLP<br>GOOG<br>∆-RNN<br>∆-RNN(ortho)<br>GRU<br>LSTM | 27.6540<br>27.9513<br>27.9613<br>28.5037<br>28.5461<br>28.5036<br>28.5452 | 111.604<br>104.214<br>103.9802<br>91.772<br>90.8801<br>91.774<br>90.8975 | 0.7733<br>0.7849<br>0.8017<br>0.8052<br>0.8108<br>0.8051<br>0.8107 | 0.9291<br>0.9357<br>0.9557<br>0.9559<br>0.9608<br>0.9559<br>0.9605 |
| Model | ImageCompressionBenchmark,8-bit<br>PSNRMSESSIMMSSSIM | | | | | | JPEG<br>MLP<br>GOOG<br>∆-RNN<br>∆-RNN(ortho)<br>GRU<br>LSTM | 27.5481<br>27.7882<br>27.8458<br>28.0208<br>28.0852<br>28.0215<br>28.0193 | 114.3583<br>108.2081<br>106.7805<br>102.5632<br>101.0562<br>102.5489<br>102.6014 | 0.8330<br>0.8390<br>0.8396<br>0.8402<br>0.8404<br>0.8401<br>0.8395 | 0.9383<br>0.9438<br>0.9562<br>0.9549<br>0.9561<br>0.9549<br>0.9563 |
| --- | --- | --- | --- | --- |
| Model | ImageCompressionBenchmark,16-bit<br>PSNRMSESSIMMSSSIM | | | |
| JPEG<br>MLP<br>GOOG<br>∆-RNN<br>∆-RNN(ortho)<br>GRU<br>LSTM | 27.5368<br>27.7762<br>27.8830<br>28.0093<br>28.0795<br>28.0081<br>28.0247 | 114.6580<br>108.5056<br>105.8712<br>102.8369<br>101.1876<br>102.8649<br>102.4710 | 0.8331<br>0.8390<br>0.8391<br>0.8399<br>0.8407<br>0.8392<br>0.8310 | 0.9383<br>0.9438<br>0.9468<br>0.9471<br>0.9480<br>0.9469<br>0.9471 |
| Model | ImageCompressionBenchmark,16-bit-Linear<br>PSNRMSESSIMMSSSIM | | | |
| JPEG<br>MLP<br>GOOG<br>∆-RNN<br>∆-RNN(ortho)<br>GRU<br>LSTM | 31.7522<br>32.0269<br>32.1275<br>32.4038<br>32.4467<br>32.4038<br>32.4032 | 43.4366<br>40.7746<br>39.8412<br>37.3847<br>37.0180<br>37.3844<br>37.3908 | 0.8355<br>0.8356<br>0.8369<br>0.8403<br>0.8406<br>0.8379<br>0.8371 | 0.9455<br>0.9454<br>0.9533<br>0.9535<br>0.9541<br>0.9533<br>0.9532 | | 1 |
| Model | Kodak<br>PSNRMSESSIMMSSSIM | | | |
| --- | --- | --- | --- | --- |
| JPEG<br>MLP<br>GOOG<br>∆-RNN<br>∆-RNN(ortho)<br>GRU<br>LSTM | 27.6540<br>27.9513<br>27.9613<br>28.5037<br>28.5461<br>28.5036<br>28.5452 | 111.604<br>104.214<br>103.9802<br>91.772<br>90.8801<br>91.774<br>90.8975 | 0.7733<br>0.7849<br>0.8017<br>0.8052<br>0.8108<br>0.8051<br>0.8107 | 0.9291<br>0.9357<br>0.9557<br>0.9559<br>0.9608<br>0.9559<br>0.9605 |
| Model | ImageCompressionBenchmark,8-bit<br>PSNRMSESSIMMSSSIM | | | | | | Model | Label | ACC | TNR | FPR | FNR | Precision | Recall | F1 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| SVM<br>MLP<br>LR<br>RF<br>CNN | 0<br>0<br>0<br>0<br>0 | 87.41±0.46<br>75.56±12.84<br>64.08±0.66<br>87.40±0.32<br>92.63±0.27 | 97.00±0.20<br>74.86±18.72<br>99.73±0.11<br>93.47±0.19<br>94.64±0.44 | 3.00±0.20<br>5.14±1.35<br>0.27±0.11<br>6.53±0.19<br>5.36±0.44 | 32.66±1.02<br>36.31±9.94<br>60.22±0.59<br>29.16±0.68<br>13.93±1.26 | 91.44±0.61<br>83.79±4.29<br>99.55±0.17<br>79.85±0.66<br>82.86±1.41 | 67.34±1.02<br>63.69±9.94<br>39.78±0.59<br>70.84±0.68<br>86.07±1.26 | 77.54±0.71<br>68.96±7.52<br>56.84±0.60<br>75.07±0.55<br>84.37±0.60 |
| SVM<br>MLP<br>LR<br>RF<br>CNN | 1<br>1<br>1<br>1<br>1 | 93.87±0.24<br>91.69±1.43<br>91.49±0.24<br>92.10±0.28<br>95.37±0.28 | 97.72±0.25<br>94.90±2.17<br>97.66±0.15<br>95.79±0.16<br>97.40±0.14 | 2.28±0.25<br>5.10±2.17<br>2.34±0.15<br>4.21±0.16<br>2.60±0.14 | 25.26±1.56<br>21.39±5.93<br>34.88±1.25<br>28.87±1.43<br>16.10±1.71 | 86.54±1.71<br>66.27±16.70<br>86.66±0.97<br>74.81±1.35<br>85.00±0.76 | 74.74±1.56<br>58.61±14.87<br>65.12±1.25<br>71.13±1.43<br>83.90±1.71 | 80.09±0.58<br>61.97±15.54<br>74.34±1.04<br>72.92±1.34<br>84.39±0.84 |
| SVM<br>MLP<br>LR<br>RF<br>CNN | 2<br>2<br>2<br>2<br>2 | 93.10±0.82<br>90.87±1.36<br>91.96±0.20<br>91.80±0.29<br>94.96±0.20 | 96.60±0.72<br>94.31±2.00<br>94.57±0.30<br>95.96±0.24<br>97.43±0.30 | 3.40±0.72<br>5.69±2.00<br>5.43±0.30<br>4.04±0.24<br>2.57±0.30 | 24.85±5.84<br>26.03±7.36<br>28.05±1.56<br>33.08±1.38<br>20.83±1.64 | 77.20±5.20<br>60.56±15.27<br>63.38±1.22<br>73.41±1.95<br>82.13±2.39 | 75.15±5.84<br>53.97±13.92<br>71.95±1.56<br>66.92±1.38<br>79.17±1.64 | 74.63±1.74<br>56.90±14.42<br>67.31±0.65<br>69.99±1.50<br>80.43±0.38 |
| SVM<br>MLP<br>LR<br>RF<br>CNN | 3<br>3<br>3<br>3<br>3 | 92.61±0.56<br>89.76±0.71<br>90.81±0.22<br>93.14±0.24<br>95.16±0.27 | 93.12±0.84<br>93.50±1.12<br>90.81±0.22<br>96.03±0.27<br>97.18±0.22 | 6.88±0.84<br>6.50±1.12<br>9.19±0.22<br>3.97±0.27<br>2.82±0.22 | 16.33±4.43<br>46.26±12.21<br>4.00±4.00<br>36.51±1.39<br>23.35±3.13 | 28.36±8.11<br>34.43±11.69<br>0.92±0.25<br>61.03±2.22<br>73.68±2.40 | 83.67±4.43<br>33.74±9.29<br>96.00±4.00<br>63.49±1.39<br>76.65±3.13 | 38.90±8.09<br>33.17±10.27<br>1.81±0.49<br>62.15±1.47<br>74.79±1.11 |
| SVM<br>MLP<br>LR<br>RF<br>CNN | 4<br>4<br>4<br>4<br>4 | 95.28±1.88<br>93.12±0.93<br>93.60±0.20<br>96.31±0.16<br>98.34±0.09 | 98.42±0.61<br>96.50±1.31<br>93.55±0.20<br>97.96±0.14<br>99.09±0.13 | 1.58±0.61<br>3.50±1.31<br>6.45±0.20<br>2.04±0.14<br>0.91±0.13 | 20.89±10.60<br>31.47±8.98<br>4.41±0.72<br>20.92±1.19<br>9.02±1.56 | 83.34±6.79<br>61.83±15.86<br>28.50±1.02<br>78.82±1.58<br>91.06±1.20 | 79.11±10.60<br>48.53±12.88<br>95.59±0.72<br>79.08±1.19<br>90.98±1.56 | 77.68±5.86<br>54.32±14.18<br>43.87±1.24<br>78.92±1.16<br>90.95±0.47 |
| SVM<br>MLP<br>LR<br>RF<br>CNN | 5<br>5<br>5<br>5<br>5 | 96.14±0.22<br>93.88±0.97<br>94.31±0.26<br>94.54±0.11<br>96.60±0.16 | 97.35±0.31<br>95.47±0.96<br>94.60±0.31<br>96.29±0.14<br>98.26±0.30 | 2.65±0.31<br>4.53±0.96<br>5.40±0.31<br>3.71±0.14<br>1.74±0.30 | 20.33±3.08<br>28.15±9.10<br>15.11±2.45<br>31.71±2.48<br>21.74±1.02 | 67.89±4.18<br>43.34±13.30<br>32.81±1.38<br>55.16±1.02<br>79.88±3.83 | 79.67±3.08<br>51.85±14.19<br>84.89±2.45<br>68.29±2.48<br>78.26±1.02 | 72.88±2.46<br>46.93±13.49<br>47.24±1.45<br>60.98±1.52<br>78.85±1.86 |
| SVM<br>MLP<br>LR<br>RF<br>CNN | 6<br>6<br>6<br>6<br>6 | 93.02±0.29<br>91.72±0.40<br>92.60±0.18<br>91.65±0.09<br>94.50±0.38 | 93.31±0.45<br>94.18±0.42<br>92.60±0.18<br>95.40±0.12<br>97.32±0.16 | 6.69±0.45<br>5.82±0.42<br>7.40±0.18<br>4.60±0.12<br>2.68±0.16 | 12.15±7.53<br>47.28±11.88<br>0.00±0.00<br>56.62±0.99<br>40.41±2.32 | 10.38±6.45<br>24.43±7.14<br>0.00±0.00<br>42.28±0.72<br>63.55±2.63 | 27.85±17.09<br>32.72±8.27<br>0.00±0.00<br>43.38±0.99<br>59.59±2.32 | 15.02±9.25<br>27.27±7.18<br>0.00±0.00<br>42.80±0.73<br>61.29±1.77 |
| SVM<br>MLP<br>LR<br>RF<br>CNN | 7<br>7<br>7<br>7<br>7 | 95.29±0.11<br>94.49±0.63<br>92.96±0.13<br>94.42±0.19<br>96.95±0.16 | 95.77±0.07<br>95.59±0.93<br>92.98±0.13<br>95.90±0.19<br>98.15±0.09 | 4.23±0.07<br>4.41±0.93<br>7.02±0.13<br>4.10±0.19<br>1.85±0.09 | 16.10±2.12<br>23.75±6.90<br>11.34±3.33<br>32.83±1.93<br>20.91±1.47 | 44.92±0.91<br>41.76±13.25<br>5.38±0.54<br>47.27±2.70<br>74.07±1.54 | 83.90±2.12<br>56.25±14.50<br>88.66±3.33<br>67.17±1.93<br>79.09±1.47 | 58.49±1.14<br>46.82±13.46<br>10.12±0.95<br>55.41±2.48<br>76.50±1.51 |
| SVM<br>MLP<br>LR<br>RF<br>CNN | 8<br>8<br>8<br>8<br>8 | 90.96±3.98<br>95.99±0.12<br>96.19±0.16<br>96.54±0.15<br>97.76±0.23 | 97.04±0.33<br>96.27±0.19<br>96.19±0.16<br>97.41±0.13<br>98.34±0.12 | 2.96±0.33<br>3.73±0.19<br>3.81±0.16<br>2.59±0.13<br>1.66±0.12 | 44.30±18.58<br>25.59±16.73<br>0.00±0.00<br>41.53±2.39<br>22.20±5.28 | 27.64±9.79<br>2.95±1.65<br>0.41±0.25<br>33.95±1.20<br>56.33±3.00 | 55.70±18.58<br>34.41±19.19<br>40.00±24.49<br>58.47±2.39<br>77.80±5.28 | 19.85±5.18<br>4.67±2.47<br>0.81±0.50<br>42.85±1.15<br>65.04±3.42 |
| SVM<br>MLP<br>LR<br>RF<br>CNN | 9<br>9<br>9<br>9<br>9 | 99.44±0.04<br>98.29±0.68<br>99.37±0.05<br>98.96±0.10<br>98.83±0.06 | 99.55±0.03<br>98.78±0.68<br>99.37±0.04<br>99.90±0.05<br>99.94±0.03 | 0.45±0.03<br>1.22±0.68<br>0.63±0.04<br>0.10±0.05<br>0.06±0.03 | 3.18±0.59<br>8.52±6.47<br>0.75±0.36<br>17.81±1.46<br>20.72±1.34 | 90.40±0.72<br>70.87±17.79<br>86.48±0.95<br>97.87±1.09<br>98.63±0.60 | 96.82±0.59<br>71.48±18.88<br>99.25±0.36<br>82.19±1.46<br>79.28±1.34 | 93.49±0.42<br>70.62±17.96<br>92.42±0.61<br>89.33±1.13<br>87.88±0.88 | | 0 |
| Model | Kodak<br>PSNRMSESSIMMSSSIM | | | |
| --- | --- | --- | --- | --- |
| JPEG<br>MLP<br>GOOG<br>∆-RNN<br>∆-RNN(ortho)<br>GRU<br>LSTM | 27.6540<br>27.9513<br>27.9613<br>28.5037<br>28.5461<br>28.5036<br>28.5452 | 111.604<br>104.214<br>103.9802<br>91.772<br>90.8801<br>91.774<br>90.8975 | 0.7733<br>0.7849<br>0.8017<br>0.8052<br>0.8108<br>0.8051<br>0.8107 | 0.9291<br>0.9357<br>0.9557<br>0.9559<br>0.9608<br>0.9559<br>0.9605 |
| Model | ImageCompressionBenchmark,8-bit<br>PSNRMSESSIMMSSSIM | | | |
| JPEG<br>MLP<br>GOOG<br>∆-RNN<br>∆-RNN(ortho)<br>GRU<br>LSTM | 27.5481<br>27.7882<br>27.8458<br>28.0208<br>28.0852<br>28.0215<br>28.0193 | 114.3583<br>108.2081<br>106.7805<br>102.5632<br>101.0562<br>102.5489<br>102.6014 | 0.8330<br>0.8390<br>0.8396<br>0.8402<br>0.8404<br>0.8401<br>0.8395 | 0.9383<br>0.9438<br>0.9562<br>0.9549<br>0.9561<br>0.9549<br>0.9563 | | | Model | ImageCompressionBenchmark,16-bit<br>PSNRMSESSIMMSSSIM | | | |
| --- | --- | --- | --- | --- |
| JPEG<br>MLP<br>GOOG<br>∆-RNN<br>∆-RNN(ortho)<br>GRU<br>LSTM | 27.5368<br>27.7762<br>27.8830<br>28.0093<br>28.0795<br>28.0081<br>28.0247 | 114.6580<br>108.5056<br>105.8712<br>102.8369<br>101.1876<br>102.8649<br>102.4710 | 0.8331<br>0.8390<br>0.8391<br>0.8399<br>0.8407<br>0.8392<br>0.8310 | 0.9383<br>0.9438<br>0.9468<br>0.9471<br>0.9480<br>0.9469<br>0.9471 |
| Model | ImageCompressionBenchmark,16-bit-Linear<br>PSNRMSESSIMMSSSIM | | | |
| JPEG<br>MLP<br>GOOG<br>∆-RNN<br>∆-RNN(ortho)<br>GRU<br>LSTM | 31.7522<br>32.0269<br>32.1275<br>32.4038<br>32.4467<br>32.4038<br>32.4032 | 43.4366<br>40.7746<br>39.8412<br>37.3847<br>37.0180<br>37.3844<br>37.3908 | 0.8355<br>0.8356<br>0.8369<br>0.8403<br>0.8406<br>0.8379<br>0.8371 | 0.9455<br>0.9454<br>0.9533<br>0.9535<br>0.9541<br>0.9533<br>0.9532 | | 1 |
| Model | Kodak<br>PSNRMSESSIMMSSSIM | | | |
| --- | --- | --- | --- | --- |
| JPEG<br>MLP<br>GOOG<br>∆-RNN<br>∆-RNN(ortho)<br>GRU<br>LSTM | 27.6540<br>27.9513<br>27.9613<br>28.5037<br>28.5461<br>28.5036<br>28.5452 | 111.604<br>104.214<br>103.9802<br>91.772<br>90.8801<br>91.774<br>90.8975 | 0.7733<br>0.7849<br>0.8017<br>0.8052<br>0.8108<br>0.8051<br>0.8107 | 0.9291<br>0.9357<br>0.9557<br>0.9559<br>0.9608<br>0.9559<br>0.9605 |
| Model | ImageCompressionBenchmark,8-bit<br>PSNRMSESSIMMSSSIM | | | |
| JPEG<br>MLP<br>GOOG<br>∆-RNN<br>∆-RNN(ortho)<br>GRU<br>LSTM | 27.5481<br>27.7882<br>27.8458<br>28.0208<br>28.0852<br>28.0215<br>28.0193 | 114.3583<br>108.2081<br>106.7805<br>102.5632<br>101.0562<br>102.5489<br>102.6014 | 0.8330<br>0.8390<br>0.8396<br>0.8402<br>0.8404<br>0.8401<br>0.8395 | 0.9383<br>0.9438<br>0.9562<br>0.9549<br>0.9561<br>0.9549<br>0.9563 | | | SVM<br>MLP<br>LR<br>RF<br>CNN | 7<br>7<br>7<br>7<br>7 | 95.29±0.11<br>94.49±0.63<br>92.96±0.13<br>94.42±0.19<br>96.95±0.16 | 95.77±0.07<br>95.59±0.93<br>92.98±0.13<br>95.90±0.19<br>98.15±0.09 | 4.23±0.07<br>4.41±0.93<br>7.02±0.13<br>4.10±0.19<br>1.85±0.09 | 16.10±2.12<br>23.75±6.90<br>11.34±3.33<br>32.83±1.93<br>20.91±1.47 | 44.92±0.91<br>41.76±13.25<br>5.38±0.54<br>47.27±2.70<br>74.07±1.54 | 83.90±2.12<br>56.25±14.50<br>88.66±3.33<br>67.17±1.93<br>79.09±1.47 | 58.49±1.14<br>46.82±13.46<br>10.12±0.95<br>55.41±2.48<br>76.50±1.51 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| SVM<br>MLP<br>LR<br>RF<br>CNN | 8<br>8<br>8<br>8<br>8 | 90.96±3.98<br>95.99±0.12<br>96.19±0.16<br>96.54±0.15<br>97.76±0.23 | 97.04±0.33<br>96.27±0.19<br>96.19±0.16<br>97.41±0.13<br>98.34±0.12 | 2.96±0.33<br>3.73±0.19<br>3.81±0.16<br>2.59±0.13<br>1.66±0.12 | 44.30±18.58<br>25.59±16.73<br>0.00±0.00<br>41.53±2.39<br>22.20±5.28 | 27.64±9.79<br>2.95±1.65<br>0.41±0.25<br>33.95±1.20<br>56.33±3.00 | 55.70±18.58<br>34.41±19.19<br>40.00±24.49<br>58.47±2.39<br>77.80±5.28 | 19.85±5.18<br>4.67±2.47<br>0.81±0.50<br>42.85±1.15<br>65.04±3.42 |
| SVM<br>MLP<br>LR<br>RF<br>CNN | 9<br>9<br>9<br>9<br>9 | 99.44±0.04<br>98.29±0.68<br>99.37±0.05<br>98.96±0.10<br>98.83±0.06 | 99.55±0.03<br>98.78±0.68<br>99.37±0.04<br>99.90±0.05<br>99.94±0.03 | 0.45±0.03<br>1.22±0.68<br>0.63±0.04<br>0.10±0.05<br>0.06±0.03 | 3.18±0.59<br>8.52±6.47<br>0.75±0.36<br>17.81±1.46<br>20.72±1.34 | 90.40±0.72<br>70.87±17.79<br>86.48±0.95<br>97.87±1.09<br>98.63±0.60 | 96.82±0.59<br>71.48±18.88<br>99.25±0.36<br>82.19±1.46<br>79.28±1.34 | 93.49±0.42<br>70.62±17.96<br>92.42±0.61<br>89.33±1.13<br>87.88±0.88 | | 0 |
| Description |
| --- |
| Impression |
| |
| |
| Stylecomparison | | | |
| --- |
| | | 1 |
| Description |
| --- |
| Impression |
| |
| |
| Stylecomparison | | | Metric | Mean1 | Mean2 |
| --- | --- | --- |
| LikedAgent | 2.75 | 3 |
| LikesAgents | 3.38 | 3.72 |
| Engaging | 2.75 | 3.14 |
| Enjoyment | 2.75 | 3.14 |
| Vocabulary | 2.63 | 2.72 |
| Naturalness | 1.88 | 2.15 |
| Clarity | 2.63 | 2.86 |
| BackgroundKnowledge | 3.63 | 3.43 |
| BackgroundExperience | 2.75 | 2.57 |
| AgentsBehaviors | 2.63 | 2.72 |
| ConversationalAbilities | 3.13 | 3.01 |
| EmpathicAbilities | 3.13 | 2.86 | | 0 |
| Description |
| --- |
| Impression | | | |
| --- |
| |
| Stylecomparison |
| |
| | | 1 |
| Description |
| --- |
| Impression | | | AgentsBehaviors | 2.63 | 2.72 |
| --- | --- | --- |
| ConversationalAbilities | 3.13 | 3.01 |
| EmpathicAbilities | 3.13 | 2.86 | | 0 |
| | English | Italian |
| --- | --- | --- |
| Train:Sentences | 10,231,392 | |
| Tokens | 117M | 115M |
| Vocabulary | 493K | 582K |
| Singletons | 239K | 257K | | | Dev.:Sentences | 910 | 910 |
| --- | --- | --- |
| Tokens | 10,818 | 11,159 |
| Vocabulary | 4,422 | 4,481 |
| OOVs | 321 | 310 |
| TestSentences | 910 | 910 |
| Tokens | 10,814 | 11,241 |
| Vocabulary | 4,487 | 4,532 |
| OOVs | 337 | 321 | | 1 |
| | English | Italian |
| --- | --- | --- |
| Train:Sentences | 10,231,392 | |
| Tokens | 117M | 115M |
| Vocabulary | 493K | 582K |
| Singletons | 239K | 257K | | | DataSet | Sentences# | Tokens# |
| --- | --- | --- |
| Training | 14,987 | 203,621 |
| Develop | 3,466 | 51,362 |
| Test | 3,684 | 46,435 |
| #oftagtypes(IOBESscheme) | 17 | | | 0 |
| | English | Italian |
| --- | --- | --- |
| Train:Sentences | 10,231,392 | |
| Tokens | 117M | 115M |
| Vocabulary | 493K | 582K | | | Singletons | 239K | 257K |
| --- | --- | --- |
| Dev.:Sentences | 910 | 910 |
| Tokens | 10,818 | 11,159 |
| Vocabulary | 4,422 | 4,481 |
| OOVs | 321 | 310 |
| TestSentences | 910 | 910 |
| Tokens | 10,814 | 11,241 |
| Vocabulary | 4,487 | 4,532 |
| OOVs | 337 | 321 | | 1 |
| | English | Italian |
| --- | --- | --- |
| Train:Sentences | 10,231,392 | |
| Tokens | 117M | 115M |
| Vocabulary | 493K | 582K | | | Test | 3,684 | 46,435 |
| --- | --- | --- |
| #oftagtypes(IOBESscheme) | 17 | | | 0 |
| m,msc | modulusinPailliergeneratedby(S,C) |
| --- | --- |
| g,gsc | baseinPailliergeneratedby(S,C) |
| PK,PKsc | publickeysofSandC |
| SK,SKsc | privatekeysofSandC |
| E(x),E(x)sc | Encryptionofmessagexusing(PK,PK)sc |
| [x],[x] | denotesxisencryptedusing(PK,PK)sc |
| D([x]),D([x])sc | Decryptionofciphertextxusing(SK,SK)sc |
| d(a,b) | Distancebetweenpointsaandb |
| U,USC | usersetsofSandC |
| U | supersetofUandUSC | | | UI | U∩USC |
| --- | --- |
| n,n,n,nscI | totalnumberofusersin(U,U,U,U)SCI |
| F | setofexistingfacilitiesofC |
| k | totalnumberofexistingfacilities |
| q,Q | result(value,set)ofthequery |
| w | randomnumbergreaterthanqinMAXQ | | 1 |
| m,msc | modulusinPailliergeneratedby(S,C) |
| --- | --- |
| g,gsc | baseinPailliergeneratedby(S,C) |
| PK,PKsc | publickeysofSandC |
| SK,SKsc | privatekeysofSandC |
| E(x),E(x)sc | Encryptionofmessagexusing(PK,PK)sc |
| [x],[x] | denotesxisencryptedusing(PK,PK)sc |
| D([x]),D([x])sc | Decryptionofciphertextxusing(SK,SK)sc |
| d(a,b) | Distancebetweenpointsaandb |
| U,USC | usersetsofSandC |
| U | supersetofUandUSC | | | Ω | Universeofallvalidentities(unknownsize) |
| --- | --- |
| r | Avaliduniqueentityordataitem |
| D | Groundtruthortheunderlyingpopulation |
| S | Observedsampleofsizen=\|S\|,withduplicates |
| K | IntegrateddatabasewithonlyuniqueentitiesfromS |
| U | UnknownunknownsthatexistinD,butnotinSorK |
| M0 | UnknownunknownsdistributionmassinD |
| c | ThenumberofuniquedataitemsinS;c=\|K\| |
| sj | Sourcejwithn=\|s\|dataitemsjj |
| N | Thesizeofthegroundtruth;N=\|D\| |
| φ | Theaggregatedqueryresult:e.g.,φ(overD)D |
| ∆ | Theimpactofunknownunknowns:∆=φ−φDK |
| fj | Afrequencystatistic,i.e.,thenumberofdataitems<br>withexactlyjoccurrencesinS. |
| F | Thesetoffrequencystatistics,{f,f,...,f}12n |
| ρ | Thecorrelationbetweenpublicityandvaluedistribut-<br>ions,i.e.,publicity-valuecorrelation |
| γ | Coefficientofvariance(dataskewmeasure) |
| C | Samplecoverage,alsoC=1−M0 | | 0 |
| m,msc | modulusinPailliergeneratedby(S,C) |
| --- | --- |
| g,gsc | baseinPailliergeneratedby(S,C) |
| PK,PKsc | publickeysofSandC |
| SK,SKsc | privatekeysofSandC | | | E(x),E(x)sc | Encryptionofmessagexusing(PK,PK)sc |
| --- | --- |
| [x],[x] | denotesxisencryptedusing(PK,PK)sc |
| D([x]),D([x])sc | Decryptionofciphertextxusing(SK,SK)sc |
| d(a,b) | Distancebetweenpointsaandb |
| U,USC | usersetsofSandC |
| U | supersetofUandUSC |
| UI | U∩USC |
| n,n,n,nscI | totalnumberofusersin(U,U,U,U)SCI |
| F | setofexistingfacilitiesofC |
| k | totalnumberofexistingfacilities |
| q,Q | result(value,set)ofthequery |
| w | randomnumbergreaterthanqinMAXQ | | 1 |
| m,msc | modulusinPailliergeneratedby(S,C) |
| --- | --- |
| g,gsc | baseinPailliergeneratedby(S,C) |
| PK,PKsc | publickeysofSandC |
| SK,SKsc | privatekeysofSandC | | | ρ | Thecorrelationbetweenpublicityandvaluedistribut-<br>ions,i.e.,publicity-valuecorrelation |
| --- | --- |
| γ | Coefficientofvariance(dataskewmeasure) |
| C | Samplecoverage,alsoC=1−M0 | | 0 |
| Tracker | TrackPurity | TargetPurity |
| --- | --- | --- |
| Gray-scaleData | 28.43 | 04.28 |
| RGBData | 39.20 | 35.07 | | | MSData | 55.12 | 50.91 |
| --- | --- | --- |
| OFDS | 12.66 | 12.66 |
| LoFT | 60.30 | 40.50 |
| Sum-rule | 50.17 | 45.25 |
| VarianceRatio | 48.26 | 44.56 |
| HFT | 69.78 | 60.30 |
| Ours(HLT) | 64.37 | 57.49 | | 1 |
| Tracker | TrackPurity | TargetPurity |
| --- | --- | --- |
| Gray-scaleData | 28.43 | 04.28 |
| RGBData | 39.20 | 35.07 | | | Tracker | TrackPurity | TargetPurity |
| --- | --- | --- |
| 2Groups | 48.50 | 45.28 |
| 3Groups | 55.27 | 48.81 |
| 6Groups | 60.11 | 55.39 |
| 12Groups | 64.37 | 57.49 |
| 20Groups | 55.65 | 51.50 | | 0 |
| Tracker | TrackPurity | TargetPurity |
| --- | --- | --- |
| Gray-scaleData | 28.43 | 04.28 |
| RGBData | 39.20 | 35.07 |
| MSData | 55.12 | 50.91 |
| OFDS | 12.66 | 12.66 |
| LoFT | 60.30 | 40.50 | | | Sum-rule | 50.17 | 45.25 |
| --- | --- | --- |
| VarianceRatio | 48.26 | 44.56 |
| HFT | 69.78 | 60.30 |
| Ours(HLT) | 64.37 | 57.49 | | 1 |
| Tracker | TrackPurity | TargetPurity |
| --- | --- | --- |
| Gray-scaleData | 28.43 | 04.28 |
| RGBData | 39.20 | 35.07 |
| MSData | 55.12 | 50.91 |
| OFDS | 12.66 | 12.66 |
| LoFT | 60.30 | 40.50 | | | 6Groups | 60.11 | 55.39 |
| --- | --- | --- |
| 12Groups | 64.37 | 57.49 |
| 20Groups | 55.65 | 51.50 | | 0 |
| ID | Description |
| --- | --- |
| 1 | Thenewinstructionatline2 |
| 2 | Thelist.addoperationatline4and7 |
| 3 | Thearithmeticaddoperationatline3,4,5,and7 |
| 4 | Thecomparisoninstructionatline3,5,and6 | | | 5 | Theassignmentinstructionatline2,3,and5 |
| --- | --- |
| 6 | Thesystem.out.printlnatline11 | | 1 |
| ID | Description |
| --- | --- |
| 1 | Thenewinstructionatline2 |
| 2 | Thelist.addoperationatline4and7 |
| 3 | Thearithmeticaddoperationatline3,4,5,and7 |
| 4 | Thecomparisoninstructionatline3,5,and6 | | | Variable | Description |
| --- | --- |
| j | theidentifieroftheneighbor |
| tj | theageoftheneighbor |
| aj | theattributevalueoftheneighbor |
| rj | therandomvalueoftheneighbor | | 0 |
| ID | Description |
| --- | --- |
| 1 | Thenewinstructionatline2 | | | 2 | Thelist.addoperationatline4and7 |
| --- | --- |
| 3 | Thearithmeticaddoperationatline3,4,5,and7 |
| 4 | Thecomparisoninstructionatline3,5,and6 |
| 5 | Theassignmentinstructionatline2,3,and5 |
| 6 | Thesystem.out.printlnatline11 | | 1 |
| ID | Description |
| --- | --- |
| 1 | Thenewinstructionatline2 | | | tj | theageoftheneighbor |
| --- | --- |
| aj | theattributevalueoftheneighbor |
| rj | therandomvalueoftheneighbor | | 0 |
| | | | | |
| --- | --- | --- | --- | --- |
| Birmingham,AL | 484,818 | SantaAna,CA | 90,030 | Portland,ME |
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| Birmingham,AL | 484,818 | SantaAna,CA | 90,030 | Portland,ME |
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| --- | --- | --- | --- | --- |
| Birmingham,AL | 484,818 | SantaAna,CA | 90,030 | Portland,ME |
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| --- | --- | --- | --- | --- |
| Birmingham,AL | 484,818 | SantaAna,CA | 90,030 | Portland,ME |
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| Rond | Brid | Chin | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| t1 | t2 | t3 | t4 | t5 | t6 | t7 | t8 |
| yrrbby | ryybbr | yrrybb | ryyrbb | brrbyy | yrbybr | rbyryb | brybyr |
| Sint | | | | | | | | | | t9 | t10 | t11 | t12 | t13 | t14 |
| --- | --- | --- | --- | --- | --- |
| brbyyr | bybrry | ryrbby | rbryyb | ybyrrb | yrybbr | | 1 |
| Rond | Brid | Chin | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| t1 | t2 | t3 | t4 | t5 | t6 | t7 | t8 |
| yrrbby | ryybbr | yrrybb | ryyrbb | brrbyy | yrbybr | rbyryb | brybyr |
| Sint | | | | | | | | | | Tile<br>Number | Orientation | | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| 1 | 2 | 3 | 4 | 5 | 6 | |
| 1 | yrrbby | yyrrbb | byyrrb | bbyyrr | rbbyyr | rrbbyy |
| 2 | ryybbr | rryybb | brryyb | bbrryy | ybbrry | yybbrr |
| 3 | yrrybb | byrryb | bbyrry | ybbyrr | rybbyr | rrybby |
| 4 | ryyrbb | bryyrb | bbryyr | rbbryy | yrbbry | yyrbbr |
| 5 | brrbyy | ybrrby | yybrrb | byybrr | rbyybr | rrbyyb |
| 6 | yrbybr | ryrbyb | bryrby | ybryrb | bybryr | rbybry |
| 7 | rbyryb | brbyry | ybrbyr | rybrby | yrybrb | byrybr |
| 8 | brybyr | rbryby | yrbryb | byrbry | ybyrbr | rybyrb |
| 9 | brbyyr | rbrbyy | yrbrby | yyrbrb | byyrbr | rbyyrb |
| 10 | bybrry | ybybrr | rybybr | rrybyb | brryby | ybrryb |
| 11 | ryrbby | yryrbb | byryrb | bbyryr | rbbyry | yrbbyr |
| 12 | rbryyb | brbryy | ybrbry | yybrbr | ryybrb | bryybr |
| 13 | ybyrrb | bybyrr | rbybyr | rrbyby | yrrbyb | byrrby |
| 14 | yrybbr | ryrybb | bryryb | bbryry | ybbryr | rybbry | | 0 |
| Rond | Brid | Chin | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| t1 | t2 | t3 | t4 | t5 | t6 | t7 | t8 | | | yrrbby | ryybbr | yrrybb | ryyrbb | brrbyy | yrbybr | rbyryb | brybyr |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Sint | | | | | | | |
| t9 | t10 | t11 | t12 | t13 | t14 | | |
| brbyyr | bybrry | ryrbby | rbryyb | ybyrrb | yrybbr | | | | 1 |
| Rond | Brid | Chin | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| t1 | t2 | t3 | t4 | t5 | t6 | t7 | t8 | | | 1 | yrrbby | yyrrbb | byyrrb | bbyyrr | rbbyyr | rrbbyy |
| --- | --- | --- | --- | --- | --- | --- |
| 2 | ryybbr | rryybb | brryyb | bbrryy | ybbrry | yybbrr |
| 3 | yrrybb | byrryb | bbyrry | ybbyrr | rybbyr | rrybby |
| 4 | ryyrbb | bryyrb | bbryyr | rbbryy | yrbbry | yyrbbr |
| 5 | brrbyy | ybrrby | yybrrb | byybrr | rbyybr | rrbyyb |
| 6 | yrbybr | ryrbyb | bryrby | ybryrb | bybryr | rbybry |
| 7 | rbyryb | brbyry | ybrbyr | rybrby | yrybrb | byrybr |
| 8 | brybyr | rbryby | yrbryb | byrbry | ybyrbr | rybyrb |
| 9 | brbyyr | rbrbyy | yrbrby | yyrbrb | byyrbr | rbyyrb |
| 10 | bybrry | ybybrr | rybybr | rrybyb | brryby | ybrryb |
| 11 | ryrbby | yryrbb | byryrb | bbyryr | rbbyry | yrbbyr |
| 12 | rbryyb | brbryy | ybrbry | yybrbr | ryybrb | bryybr |
| 13 | ybyrrb | bybyrr | rbybyr | rrbyby | yrrbyb | byrrby |
| 14 | yrybbr | ryrybb | bryryb | bbryry | ybbryr | rybbry | | 0 |
| Case | CRNN | NNPG | SVR | LVX | ARX |
| --- | --- | --- | --- | --- | --- |
| 1 | 9.46 | 12.93 | 11.80 | 11.15 | 13.33 | | | 2 | 8.90 | 12.12 | 10.90 | 14.61 | 12.40 |
| --- | --- | --- | --- | --- | --- |
| 3 | 12.70 | 14.75 | 13.49 | 12.07 | 15.48 |
| 4 | 9.64 | 12.45 | 11.12 | 10.21 | 12.71 |
| 5 | 8.90 | 11.60 | 10.84 | 10.03 | 11.80 |
| 6 | 10.13 | 13.72 | 12.20 | 11.95 | 14.29 |
| 7 | 11.91 | 15.02 | 14.86 | 12.00 | 14.79 |
| 8 | 10.72 | 11.54 | 12.50 | 10.25 | 12.00 |
| 9 | 8.90 | 11.78 | 10.92 | 10.25 | 12.28 |
| 10 | 8.97 | 13.16 | 12.46 | 10.08 | 13.57 |
| Mean | 10.02 | 12.91 | 12.48 | 11.32 | 13.27 |
| SD | 1.28 | 1.19 | 1.94 | 1.34 | 1.19 | | 1 |
| Case | CRNN | NNPG | SVR | LVX | ARX |
| --- | --- | --- | --- | --- | --- |
| 1 | 9.46 | 12.93 | 11.80 | 11.15 | 13.33 | | | Case | CRNN | NNPG | SVR | LVX | ARX |
| --- | --- | --- | --- | --- | --- |
| 1 | 20.76 | 22.15 | 27.35 | 25.71 | 25.82 |
| 2 | 19.49 | 21.27 | 23.68 | 23.77 | 23.79 |
| 3 | 21.89 | 23.98 | 27.56 | 25.80 | 26.12 |
| 4 | 21.79 | 23.15 | 27.96 | 24.77 | 24.73 |
| 5 | 22.26 | 24.72 | 29.57 | 25.99 | 25.99 |
| Mean | 21.24 | 23.05 | 27.23 | 25.21 | 25.36 |
| SD | 1.01 | 1.24 | 1.93 | 0.83 | 0.96 | | 0 |
| Case | CRNN | NNPG | SVR | LVX | ARX |
| --- | --- | --- | --- | --- | --- |
| 1 | 9.46 | 12.93 | 11.80 | 11.15 | 13.33 |
| 2 | 8.90 | 12.12 | 10.90 | 14.61 | 12.40 |
| 3 | 12.70 | 14.75 | 13.49 | 12.07 | 15.48 |
| 4 | 9.64 | 12.45 | 11.12 | 10.21 | 12.71 |
| 5 | 8.90 | 11.60 | 10.84 | 10.03 | 11.80 |
| 6 | 10.13 | 13.72 | 12.20 | 11.95 | 14.29 |
| 7 | 11.91 | 15.02 | 14.86 | 12.00 | 14.79 |
| 8 | 10.72 | 11.54 | 12.50 | 10.25 | 12.00 | | | 9 | 8.90 | 11.78 | 10.92 | 10.25 | 12.28 |
| --- | --- | --- | --- | --- | --- |
| 10 | 8.97 | 13.16 | 12.46 | 10.08 | 13.57 |
| Mean | 10.02 | 12.91 | 12.48 | 11.32 | 13.27 |
| SD | 1.28 | 1.19 | 1.94 | 1.34 | 1.19 | | 1 |
| Case | CRNN | NNPG | SVR | LVX | ARX |
| --- | --- | --- | --- | --- | --- |
| 1 | 9.46 | 12.93 | 11.80 | 11.15 | 13.33 |
| 2 | 8.90 | 12.12 | 10.90 | 14.61 | 12.40 |
| 3 | 12.70 | 14.75 | 13.49 | 12.07 | 15.48 |
| 4 | 9.64 | 12.45 | 11.12 | 10.21 | 12.71 |
| 5 | 8.90 | 11.60 | 10.84 | 10.03 | 11.80 |
| 6 | 10.13 | 13.72 | 12.20 | 11.95 | 14.29 |
| 7 | 11.91 | 15.02 | 14.86 | 12.00 | 14.79 |
| 8 | 10.72 | 11.54 | 12.50 | 10.25 | 12.00 | | | 4 | 21.79 | 23.15 | 27.96 | 24.77 | 24.73 |
| --- | --- | --- | --- | --- | --- |
| 5 | 22.26 | 24.72 | 29.57 | 25.99 | 25.99 |
| Mean | 21.24 | 23.05 | 27.23 | 25.21 | 25.36 |
| SD | 1.01 | 1.24 | 1.93 | 0.83 | 0.96 | | 0 |
| Papers | Year |
| --- | --- |
| | 2005 |
| | 2006 |
| | 2007 |
| | 2008 |
| | 2010 |
| | 2011 |
| | 2012 |
| | 2013 |
| | 2014 |
| | 2015 | | | | 2016 |
| --- | --- |
| | 2017 | | 1 |
| Papers | Year |
| --- | --- |
| | 2005 |
| | 2006 |
| | 2007 |
| | 2008 |
| | 2010 |
| | 2011 |
| | 2012 |
| | 2013 |
| | 2014 |
| | 2015 | | | | | 1987-1995 | 2006-2008 |
| --- | --- | --- | --- |
| Books | different | 1984 | 2103 |
| conflict | 2528 | 2776 | |
| Newspaper | different | 1146 | 1661 |
| conflict | 2368 | 3092 | | | 0 |
| Papers | Year |
| --- | --- |
| | 2005 |
| | 2006 |
| | 2007 |
| | 2008 |
| | 2010 | | | | 2011 |
| --- | --- |
| | 2012 |
| | 2013 |
| | 2014 |
| | 2015 |
| | 2016 |
| | 2017 | | 1 |
| Papers | Year |
| --- | --- |
| | 2005 |
| | 2006 |
| | 2007 |
| | 2008 |
| | 2010 | | | Newspaper | different | 1146 | 1661 |
| --- | --- | --- | --- |
| conflict | 2368 | 3092 | | | 0 |
| Method/Struct. | Harm.osc. | Beam | Cant.grand. | Real.grand. |
| --- | --- | --- | --- | --- |
| fullsystem | | | | |
| ndof<br>nL<br>MC50<br>Freq.domain<br>Timedomain | 1<br>14<br>0.601s<br>0.106s<br>0.112s | 29<br>86<br>20.078s<br>2.672s<br>2.392s | 504<br>1512<br>380.451s<br>74.639s<br>38.915s | 4068<br>12546<br>5484s<br>4178s<br>6507s | | | partialmodaltransform,cfequations(??),(??)and(??) | | | | |
| --- | --- | --- | --- | --- |
| neig<br>feig<br>nL<br>MC50<br>Freq.domain<br>Timedomain | –<br>–<br>–<br>–<br>–<br>– | 7<br>37Hz<br>42<br>13.240s<br>1.764s<br>1.588s | 10<br>30Hz<br>524<br>36.214s<br>4.452s<br>2.582s | 50<br>23Hz<br>4510<br>307s<br>734s<br>67s | | 1 |
| Method/Struct. | Harm.osc. | Beam | Cant.grand. | Real.grand. |
| --- | --- | --- | --- | --- |
| fullsystem | | | | |
| ndof<br>nL<br>MC50<br>Freq.domain<br>Timedomain | 1<br>14<br>0.601s<br>0.106s<br>0.112s | 29<br>86<br>20.078s<br>2.672s<br>2.392s | 504<br>1512<br>380.451s<br>74.639s<br>38.915s | 4068<br>12546<br>5484s<br>4178s<br>6507s | | | Alg. | Tr.Fl.1;Te.Fl.3 | Tr.Fl.3;Te.Fl.1 | Alg. |
| --- | --- | --- | --- |
| MI-HE(HSD) | 0.304 | 0.449 | MI-SMF(ACE) |
| M-IHE(ACE) | 0.257 | 0.254 | MI-SMF(SMF) |
| eFUMI(ACE) | 0.214 | 0.325 | mi-SVM |
| eFUMI(HSD) | 0.256 | 0.331 | EM-DD(ACE) |
| MI-ACE(ACE) | 0.226 | 0.340 | DMIL(ACE) | | 0 |
| Method/Struct. | Harm.osc. | Beam | Cant.grand. | Real.grand. |
| --- | --- | --- | --- | --- |
| fullsystem | | | | | | | ndof<br>nL<br>MC50<br>Freq.domain<br>Timedomain | 1<br>14<br>0.601s<br>0.106s<br>0.112s | 29<br>86<br>20.078s<br>2.672s<br>2.392s | 504<br>1512<br>380.451s<br>74.639s<br>38.915s | 4068<br>12546<br>5484s<br>4178s<br>6507s |
| --- | --- | --- | --- | --- |
| partialmodaltransform,cfequations(??),(??)and(??) | | | | |
| neig<br>feig<br>nL<br>MC50<br>Freq.domain<br>Timedomain | –<br>–<br>–<br>–<br>–<br>– | 7<br>37Hz<br>42<br>13.240s<br>1.764s<br>1.588s | 10<br>30Hz<br>524<br>36.214s<br>4.452s<br>2.582s | 50<br>23Hz<br>4510<br>307s<br>734s<br>67s | | 1 |
| Method/Struct. | Harm.osc. | Beam | Cant.grand. | Real.grand. |
| --- | --- | --- | --- | --- |
| fullsystem | | | | | | | eFUMI(HSD) | 0.256 | 0.331 | EM-DD(ACE) |
| --- | --- | --- | --- |
| MI-ACE(ACE) | 0.226 | 0.340 | DMIL(ACE) | | 0 |
| Schemes<br>forCT | Parameters | Proofof<br>Presenceofa<br>Certificate<br>(Type1) | Proofof<br>Absenceofa<br>Certificate<br>(Type2) | Proofof<br>Absenceofa<br>DomainOwner<br>(Type3) | Proof<br>of<br>Extension<br>(Type4) | Proof<br>of<br>Currency<br>(Type5) |
| --- | --- | --- | --- | --- | --- | --- |
| Google | ProofSize | O(logn) | - | - | O(logn) | - |
| CostofProof<br>Computation | O(logn) | - | - | O(logn) | - | |
| CostofProof<br>Verification | O(logn) | - | - | O(logn) | - | |
| Ryan | ProofSize | - | - | O(logt) | O(logn) | O(logt) |
| CostofProof<br>Computation | - | - | O(logt) | O(logn) | O(logt) | |
| CostofProof<br>Verification | - | - | O(logt) | O(logn) | O(logt) | |
| Our<br>Scheme | ProofSize | O(logt) | O(1) | O(logt) | O(logn) | O(1) | | | CostofProof<br>Computation | †<br>O(logt) | O(m) | O(logt) | O(logn) | O(logm) |
| --- | --- | --- | --- | --- | --- |
| CostofProof<br>Verification | †<br>O(logt) | O(1) | O(logt) | O(logn) | O(1) | | 1 |
| Schemes<br>forCT | Parameters | Proofof<br>Presenceofa<br>Certificate<br>(Type1) | Proofof<br>Absenceofa<br>Certificate<br>(Type2) | Proofof<br>Absenceofa<br>DomainOwner<br>(Type3) | Proof<br>of<br>Extension<br>(Type4) | Proof<br>of<br>Currency<br>(Type5) |
| --- | --- | --- | --- | --- | --- | --- |
| Google | ProofSize | O(logn) | - | - | O(logn) | - |
| CostofProof<br>Computation | O(logn) | - | - | O(logn) | - | |
| CostofProof<br>Verification | O(logn) | - | - | O(logn) | - | |
| Ryan | ProofSize | - | - | O(logt) | O(logn) | O(logt) |
| CostofProof<br>Computation | - | - | O(logt) | O(logn) | O(logt) | |
| CostofProof<br>Verification | - | - | O(logt) | O(logn) | O(logt) | |
| Our<br>Scheme | ProofSize | O(logt) | O(1) | O(logt) | O(logn) | O(1) | | | Tested<br>Scheme | Classifier<br>I | Classifier<br>II | Classifier<br>III | Classifier<br>IV | Classifier<br>V |
| --- | --- | --- | --- | --- | --- |
| (i) | O | NRS | NR | - | - |
| (ii) | O | NRS | NS | - | - |
| (iii) | O | NRS | RS | - | - |
| (iv) | O | NS | RS | - | - |
| (v) | O | NS | NR | - | - |
| (vi) | O | RS | NR | - | - |
| (vii) | NRS | NR | RS | - | - |
| (viii) | NRS | NR | NS | - | - |
| (ix) | NRS | NS | RS | - | - |
| (x) | NS | RS | NR | - | - |
| (xi) | O | NS | RS | NR | NRS | | 0 |
| Schemes<br>forCT | Parameters | Proofof<br>Presenceofa<br>Certificate<br>(Type1) | Proofof<br>Absenceofa<br>Certificate<br>(Type2) | Proofof<br>Absenceofa<br>DomainOwner<br>(Type3) | Proof<br>of<br>Extension<br>(Type4) | Proof<br>of<br>Currency<br>(Type5) |
| --- | --- | --- | --- | --- | --- | --- |
| Google | ProofSize | O(logn) | - | - | O(logn) | - |
| CostofProof<br>Computation | O(logn) | - | - | O(logn) | - | |
| CostofProof<br>Verification | O(logn) | - | - | O(logn) | - | |
| Ryan | ProofSize | - | - | O(logt) | O(logn) | O(logt) |
| CostofProof<br>Computation | - | - | O(logt) | O(logn) | O(logt) | | | | CostofProof<br>Verification | - | - | O(logt) | O(logn) | O(logt) | |
| --- | --- | --- | --- | --- | --- | --- |
| Our<br>Scheme | ProofSize | O(logt) | O(1) | O(logt) | O(logn) | O(1) |
| CostofProof<br>Computation | †<br>O(logt) | O(m) | O(logt) | O(logn) | O(logm) | |
| CostofProof<br>Verification | †<br>O(logt) | O(1) | O(logt) | O(logn) | O(1) | | | 1 |
| Schemes<br>forCT | Parameters | Proofof<br>Presenceofa<br>Certificate<br>(Type1) | Proofof<br>Absenceofa<br>Certificate<br>(Type2) | Proofof<br>Absenceofa<br>DomainOwner<br>(Type3) | Proof<br>of<br>Extension<br>(Type4) | Proof<br>of<br>Currency<br>(Type5) |
| --- | --- | --- | --- | --- | --- | --- |
| Google | ProofSize | O(logn) | - | - | O(logn) | - |
| CostofProof<br>Computation | O(logn) | - | - | O(logn) | - | |
| CostofProof<br>Verification | O(logn) | - | - | O(logn) | - | |
| Ryan | ProofSize | - | - | O(logt) | O(logn) | O(logt) |
| CostofProof<br>Computation | - | - | O(logt) | O(logn) | O(logt) | | | | (vi) | O | RS | NR | - | - |
| --- | --- | --- | --- | --- | --- |
| (vii) | NRS | NR | RS | - | - |
| (viii) | NRS | NR | NS | - | - |
| (ix) | NRS | NS | RS | - | - |
| (x) | NS | RS | NR | - | - |
| (xi) | O | NS | RS | NR | NRS | | 0 |
| Featurelabel | Description |
| --- | --- |
| c,c,c∧cijij | Thetwoconceptsandtheirconjunction | | | w,w,w∧wijij | Wordsinthecorrespondingspansandtheirconjunction |
| --- | --- |
| p,p,p∧pijij | POStagsofwordsinspansandtheirconjunction |
| depij | Alldependencyedgeswithtailinwandheadinwij |
| dir | Binaryfeaturewhichistrueiffi<j |
| r | Relationlabelanditsconjunctionwithallotherfeatures | | 1 |
| Featurelabel | Description |
| --- | --- |
| c,c,c∧cijij | Thetwoconceptsandtheirconjunction | | | Featureindex | Description |
| --- | --- |
| 1 | Whetherthecandidateisinthesamesentencewiththeconnective |
| 2 | Connectiveword |
| 3 | Down-caseconnectiveword |
| 4 | Candidateword |
| 5 | Beforeoraftertheconnectiveword |
| 6 | Connectivewhereinthesentence(beginning,middle,end) |
| 7 | 2,6 |
| 8 | Headtoconnectivethroughtheconstituenttree |
| 9 | Collapsedpathwithoutpart-of-speech |
| 10 | Thelengthof8 |
| 11 | Dependencypathfromargumenttoconnective |
| 12 | Typeofconnective | | 0 |
| Featurelabel | Description |
| --- | --- |
| c,c,c∧cijij | Thetwoconceptsandtheirconjunction |
| w,w,w∧wijij | Wordsinthecorrespondingspansandtheirconjunction | | | p,p,p∧pijij | POStagsofwordsinspansandtheirconjunction |
| --- | --- |
| depij | Alldependencyedgeswithtailinwandheadinwij |
| dir | Binaryfeaturewhichistrueiffi<j |
| r | Relationlabelanditsconjunctionwithallotherfeatures | | 1 |
| Featurelabel | Description |
| --- | --- |
| c,c,c∧cijij | Thetwoconceptsandtheirconjunction |
| w,w,w∧wijij | Wordsinthecorrespondingspansandtheirconjunction | | | 10 | Thelengthof8 |
| --- | --- |
| 11 | Dependencypathfromargumenttoconnective |
| 12 | Typeofconnective | | 0 |
| EigenvectorCentrality<br>Ranking# | NodeID |
| --- | --- |
| 1 | 192 |
| 2 | 191 | | | 3 | 6 |
| --- | --- |
| 4 | 24 |
| 5 | 137 |
| 6 | 130 |
| 7 | 135 |
| 8 | 129 |
| 9 | 178 |
| 10 | transformer3 | | 1 |
| EigenvectorCentrality<br>Ranking# | NodeID |
| --- | --- |
| 1 | 192 |
| 2 | 191 | | | EigenvectorCentrality<br>Ranking# | NodeID |
| --- | --- |
| 1 | 10 |
| 2 | 93 |
| 3 | 111 |
| 4 | 148 |
| 5 | transformer5 |
| 6 | 22 |
| 7 | 28 |
| 8 | 27 |
| 9 | 26 |
| 10 | 25 | | 0 |
| EigenvectorCentrality<br>Ranking# | NodeID |
| --- | --- |
| 1 | 192 |
| 2 | 191 |
| 3 | 6 |
| 4 | 24 |
| 5 | 137 | | | 6 | 130 |
| --- | --- |
| 7 | 135 |
| 8 | 129 |
| 9 | 178 |
| 10 | transformer3 | | 1 |
| EigenvectorCentrality<br>Ranking# | NodeID |
| --- | --- |
| 1 | 192 |
| 2 | 191 |
| 3 | 6 |
| 4 | 24 |
| 5 | 137 | | | 3 | 111 |
| --- | --- |
| 4 | 148 |
| 5 | transformer5 |
| 6 | 22 |
| 7 | 28 |
| 8 | 27 |
| 9 | 26 |
| 10 | 25 | | 0 |
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