premise string | hypothesis string | label int64 |
|---|---|---|
| Entity | Categorization | Conditions |
| --- | --- | --- |
| EndofSπ(j−1),i | collinear(1) | q=pj−1i−1<br>q=pj+1i+1 |
| left(2) | q∈Ij−1<br>(q∈III)∧(p∈II)j−1i−2<br>(q∈IV)∧(p∈II)j−1i+2 | |
| right(3) | q∈IIj−1<br>(q∈III)∧(p∈I)j−1i−2<br>(q∈IV)∧(p∈I)j−1i+2 | | | | BeginningofSi,π(j+1) | collinear(1) | q=pj−1i−1<br>q=pj+1i+1 |
| --- | --- | --- |
| left(2) | q∈Ij+1<br>(q∈III)∧(p∈II)j+1i−2<br>(q∈IV)∧(p∈II)j+1i+2 | |
| right(3) | q∈IIj+1<br>(q∈III)∧(p∈I)j+1i−2<br>(q∈IV)∧(p∈I)j+1i+2 | | | 1 |
| Entity | Categorization | Conditions |
| --- | --- | --- |
| EndofSπ(j−1),i | collinear(1) | q=pj−1i−1<br>q=pj+1i+1 |
| left(2) | q∈Ij−1<br>(q∈III)∧(p∈II)j−1i−2<br>(q∈IV)∧(p∈II)j−1i+2 | |
| right(3) | q∈IIj−1<br>(q∈III)∧(p∈I)j−1i−2<br>(q∈IV)∧(p∈I)j−1i+2 | | | | | k=3 | k=4 | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| h | q | r | t | q | r | t | q |
| 1 | 3x−1 | 3x+3x+1 | −3x−1 | x+x+1 | x+2x+2 | −x | x+1 |
| 2 | 2x+x+1<br>2<br>14x+3x−1<br>2<br>14x+17x+4 | x+x+1<br>2<br>7x+5x+1<br>2<br>7x+5x+1 | −x<br>−7x−2<br>7x+3 | 4x+2x+1 | 2x+2x+1 | −2x | 2x+x+2<... | 0 |
| Entity | Categorization | Conditions |
| --- | --- | --- |
| EndofSπ(j−1),i | collinear(1) | q=pj−1i−1<br>q=pj+1i+1 |
| left(2) | q∈Ij−1<br>(q∈III)∧(p∈II)j−1i−2<br>(q∈IV)∧(p∈II)j−1i+2 | | | | right(3) | q∈IIj−1<br>(q∈III)∧(p∈I)j−1i−2<br>(q∈IV)∧(p∈I)j−1i+2 | |
| --- | --- | --- |
| BeginningofSi,π(j+1) | collinear(1) | q=pj−1i−1<br>q=pj+1i+1 |
| left(2) | q∈Ij+1<br>(q∈III)∧(p∈II)j+1i−2<br>(q∈IV)∧(p∈II)j+1i+2 | |
| right(3) | q∈IIj+1<br>(q∈III)∧(p∈I)j+1i−2<br>(q∈IV)∧(p∈I)j+1i+2 | | | 1 |
| Entity | Categorization | Conditions |
| --- | --- | --- |
| EndofSπ(j−1),i | collinear(1) | q=pj−1i−1<br>q=pj+1i+1 |
| left(2) | q∈Ij−1<br>(q∈III)∧(p∈II)j−1i−2<br>(q∈IV)∧(p∈II)j−1i+2 | | | | 2 | 2x+x+1<br>2<br>14x+3x−1<br>2<br>14x+17x+4 | x+x+1<br>2<br>7x+5x+1<br>2<br>7x+5x+1 | −x<br>−7x−2<br>7x+3 | 4x+2x+1 | 2x+2x+1 | −2x | 2x+x+2<br>2<br>6x+3x+1 |
| --- | --- | --- | --- | --- | --- | --- | --- |
| 3 | 3x+2x+2 | x+x+1 | −x | 5x+9x+9<br>2<br>25x+15x+3<br>2<br>25x+25x+7 | x+2x+2<br>2<br>5x+4x+1<br>2<br>5... | 0 |
| n | n-k | m | q | d | t | r’ | r | GVR | Singleton | pk(bits) | sign(bits) | LP | Dual | DS | DA |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 16 | 8 | 18 | 2 | 2 | 2 | 4 | 6 | 5 | 8 | 57600 | 8640 | 130 | 1096 | 400 | 776 |
| 16 | 8 | 18 | 2 | 2 | 2 | 4 | 6 | 5... | | 48 | 12 | 40 | 2 | 4 | 5 | 3 | 8 | 6 | 10 | 78720 | 2976 | ¿600 | 340 | 164 | 114 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 50 | 10 | 42 | 2 | 5 | 5(2) | 2 | 7 | 5 | 9 | 70560 | 2800 | ¿600 | 240 | 180 | 104 | | 1 |
| n | n-k | m | q | d | t | r’ | r | GVR | Singleton | pk(bits) | sign(bits) | LP | Dual | DS | DA |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 16 | 8 | 18 | 2 | 2 | 2 | 4 | 6 | 5 | 8 | 57600 | 8640 | 130 | 1096 | 400 | 776 |
| 16 | 8 | 18 | 2 | 2 | 2 | 4 | 6 | 5... | | 8-bit | 12-bit | 16-bit | 24-bit | 36-bit |
| --- | --- | --- | --- | --- |
| 14.19 | 13.26 | 13.13 | 13.84 | 14.90 |
| 16.57 | 17.12 | 16.94 | 17.08 | 17.38 |
| 21.97 | 22.76 | 23.91 | 25.89 | 27.53 |
| 30.93 | 32.50 | 33.59 | 35.36 | 35.59 |
| 15.06 | 15.43 | 15.64 | 16.07 | 16.78 |
| 63.48 | 66.97 | 68.83 | 73.45 ... | 0 |
| n | n-k | m | q | d | t | r’ | r | GVR | Singleton | pk(bits) | sign(bits) | LP | Dual | DS | DA |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 16 | 8 | 18 | 2 | 2 | 2 | 4 | 6 | 5 | 8 | 57600 | 8640 | 130 | 1096 | 400 | 776 |
| 16 | 8 | 18 | 2 | 2 | 2 | 4 | 6 | 5... | | 20 | 10 | 24 | 2 | 2 | 3 | 5 | 8 | 6 | 10 | 24960 | 3008 | 190 | 370 | 104 | 226 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 27 | 9 | 20 | 2 | 3 | 2 | 3 | 5 | 4 | 7 | 23328 | 1470 | 170 | 187 | 120 | 129 |
| 48 | 12 | 40 | 2 | 4 | 5 | 3 | 8 | 6 | 10 | 78720 | ... | 1 |
| n | n-k | m | q | d | t | r’ | r | GVR | Singleton | pk(bits) | sign(bits) | LP | Dual | DS | DA |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 16 | 8 | 18 | 2 | 2 | 2 | 4 | 6 | 5 | 8 | 57600 | 8640 | 130 | 1096 | 400 | 776 |
| 16 | 8 | 18 | 2 | 2 | 2 | 4 | 6 | 5... | | 16.57 | 17.12 | 16.94 | 17.08 | 17.38 |
| --- | --- | --- | --- | --- |
| 21.97 | 22.76 | 23.91 | 25.89 | 27.53 |
| 30.93 | 32.50 | 33.59 | 35.36 | 35.59 |
| 15.06 | 15.43 | 15.64 | 16.07 | 16.78 |
| 63.48 | 66.97 | 68.83 | 73.45 | 74.66 |
| 56.67 | 71.41 | 76.50 | 80.40 | 82.73 |
| 59.09 | 61.17 | 68.15 | 69.22 | 70... | 0 |
| Method | N | E | C |
| --- | --- | --- | --- |
| SPINN-NPencoders | 80.6 | 88.2 | 85.5 |
| mLSTM | 81.6 | 91.6 | 87.4 | | | word-wordattentionandaggregation | 83.7 | 92.1 | 86.7 |
| --- | --- | --- | --- |
| Ourmodelwithbi-LSTMencoders | 84.3 | 90.6 | 86.9 |
| Ourmodelwithbtree-LSTMencoders | 84.8 | 93.2 | 87.4 | | 1 |
| Method | N | E | C |
| --- | --- | --- | --- |
| SPINN-NPencoders | 80.6 | 88.2 | 85.5 |
| mLSTM | 81.6 | 91.6 | 87.4 | | | Reference | Lexicon | LM | CH | SW |
| --- | --- | --- | --- | --- |
| Current | N | N | 26.4 | 17.2 |
| Current | N | CharNG | 21.8 | 13.8 |
| (ensemble) | Y | WordNG | 19.3 | 12.6 |
| Current | Y | WordNG | 18.7 | 11.3 |
| Current | Y | WordRNN | 17.7 | 10.2 | | 0 |
| Method | N | E | C |
| --- | --- | --- | --- |
| SPINN-NPencoders | 80.6 | 88.2 | 85.5 |
| mLSTM | 81.6 | 91.6 | 87.4 | | | word-wordattentionandaggregation | 83.7 | 92.1 | 86.7 |
| --- | --- | --- | --- |
| Ourmodelwithbi-LSTMencoders | 84.3 | 90.6 | 86.9 |
| Ourmodelwithbtree-LSTMencoders | 84.8 | 93.2 | 87.4 | | 1 |
| Method | N | E | C |
| --- | --- | --- | --- |
| SPINN-NPencoders | 80.6 | 88.2 | 85.5 |
| mLSTM | 81.6 | 91.6 | 87.4 | | | Current | Y | WordNG | 18.7 | 11.3 |
| --- | --- | --- | --- | --- |
| Current | Y | WordRNN | 17.7 | 10.2 | | 0 |
| Numbers | Category0 | Categoryvoid | | |
| --- | --- | --- | --- | --- |
| | Passed | Failed | Passed | Failed | | | Twitter | 12,681 | 2,228 | 21,443 | 4,123 |
| --- | --- | --- | --- | --- |
| Facebook | 7,586 | 1,287 | 21,715 | 3,579 |
| Total | 20,267 | 3,515 | 43,158 | 7,702 | | 1 |
| Numbers | Category0 | Categoryvoid | | |
| --- | --- | --- | --- | --- |
| | Passed | Failed | Passed | Failed | | | Category | Numberoftweets |
| --- | --- |
| Totaltweets | 3545 |
| Tweetsinfavor | 964 |
| Tweetsagainst | 647 |
| Neutraltweets | 1934 | | 0 |
| Numbers | Category0 | Categoryvoid | | |
| --- | --- | --- | --- | --- |
| | Passed | Failed | Passed | Failed | | | Twitter | 12,681 | 2,228 | 21,443 | 4,123 |
| --- | --- | --- | --- | --- |
| Facebook | 7,586 | 1,287 | 21,715 | 3,579 |
| Total | 20,267 | 3,515 | 43,158 | 7,702 | | 1 |
| Numbers | Category0 | Categoryvoid | | |
| --- | --- | --- | --- | --- |
| | Passed | Failed | Passed | Failed | | | Tweetsinfavor | 964 |
| --- | --- |
| Tweetsagainst | 647 |
| Neutraltweets | 1934 | | 0 |
| Name | NumberofEdges | NumberofTriangles |
| --- | --- | --- |
| cit-HepTh-dates | 38488 | 1418 |
| wiki-Vote | 201524 | 608389 |
| email-Enron | 367662 | 727044 | | | soc-sign-epinions | 1422420 | 4910076 |
| --- | --- | --- |
| flickrEdges | 4633896 | 107987357 |
| web-Google | 8644102 | 13391903 |
| cit-Patents | 33037894 | 7515023 | | 1 |
| Name | NumberofEdges | NumberofTriangles |
| --- | --- | --- |
| cit-HepTh-dates | 38488 | 1418 |
| wiki-Vote | 201524 | 608389 |
| email-Enron | 367662 | 727044 | | | Entity | Ni | Vi | Mi | StructureType |
| --- | --- | --- | --- | --- |
| latlon | 1624984 | 1625197 | 1506465 | Identity |
| lat | 1624984 | 1625192 | 1504469 | Identity |
| lon | 1625061 | 1625725 | 1504619 | Identity |
| place | 1741337 | 1741516 | 1504619 | Identity |
| retweetID | 636455 | 636644 | 627163 | Iden... | 0 |
| Name | NumberofEdges | NumberofTriangles |
| --- | --- | --- |
| cit-HepTh-dates | 38488 | 1418 |
| wiki-Vote | 201524 | 608389 |
| email-Enron | 367662 | 727044 |
| soc-sign-epinions | 1422420 | 4910076 |
| flickrEdges | 4633896 | 107987357 | | | web-Google | 8644102 | 13391903 |
| --- | --- | --- |
| cit-Patents | 33037894 | 7515023 | | 1 |
| Name | NumberofEdges | NumberofTriangles |
| --- | --- | --- |
| cit-HepTh-dates | 38488 | 1418 |
| wiki-Vote | 201524 | 608389 |
| email-Enron | 367662 | 727044 |
| soc-sign-epinions | 1422420 | 4910076 |
| flickrEdges | 4633896 | 107987357 | | | lat | 1624984 | 1625192 | 1504469 | Identity |
| --- | --- | --- | --- | --- |
| lon | 1625061 | 1625725 | 1504619 | Identity |
| place | 1741337 | 1741516 | 1504619 | Identity |
| retweetID | 636455 | 636644 | 627163 | Identity |
| reuserID | 720624 | 722148 | 676616 | Identity |
| time | 2020000 | 2020000 | 35176 |... | 0 |
| | Omniscient:<br>fulldistances | Agents’ordinalprefs<br>andfacilitylocations | Onlyagents’ordinal<br>prefs(lowerbounds) |
| --- | --- | --- | --- |
| Total(Sum)SocialChoice | 1 | 3 | 5(3) |
| MedianSocialChoice | 1 | 3 | 5(5) |
| MinWeightBipartiteMatching | 1 | 3 | n(3) |
| EgalitarianBipartiteMatching | 1 | 3 | -(... | | k-center | 2 | 5 | -(-) |
| --- | --- | --- | --- |
| k-median | 2.675 | 6.35 | -(Ω(n)) | | 1 |
| | Omniscient:<br>fulldistances | Agents’ordinalprefs<br>andfacilitylocations | Onlyagents’ordinal<br>prefs(lowerbounds) |
| --- | --- | --- | --- |
| Total(Sum)SocialChoice | 1 | 3 | 5(3) |
| MedianSocialChoice | 1 | 3 | 5(5) |
| MinWeightBipartiteMatching | 1 | 3 | n(3) |
| EgalitarianBipartiteMatching | 1 | 3 | -(... | | pair | ∅ | ω1 | ω2 | ω3 | ω4 | Ω |
| --- | --- | --- | --- | --- | --- | --- |
| (1,2) | 0 | 0.13975 | 0.23775 | 0.232 | 0.025 | 0.3655 |
| (2,3) | 0 | 0.1765 | 0.05 | 0.10825 | 0.17 | 0.49525 |
| (2,4) | 0 | 0.1 | 0.152 | 0.138 | 0.14875 | 0.46125 |
| (3,4) | 0 | 0.1765 | 0.05 | 0.10825 | 0.17 | 0.49525 |
| (4,5) | ... | 0 |
| | Omniscient:<br>fulldistances | Agents’ordinalprefs<br>andfacilitylocations | Onlyagents’ordinal<br>prefs(lowerbounds) |
| --- | --- | --- | --- |
| Total(Sum)SocialChoice | 1 | 3 | 5(3) |
| MedianSocialChoice | 1 | 3 | 5(5) |
| MinWeightBipartiteMatching | 1 | 3 | n(3) | | | EgalitarianBipartiteMatching | 1 | 3 | -(2) |
| --- | --- | --- | --- |
| FacilityLocation | 1.488 | 3.976 | ∞(∞) |
| k-center | 2 | 5 | -(-) |
| k-median | 2.675 | 6.35 | -(Ω(n)) | | 1 |
| | Omniscient:<br>fulldistances | Agents’ordinalprefs<br>andfacilitylocations | Onlyagents’ordinal<br>prefs(lowerbounds) |
| --- | --- | --- | --- |
| Total(Sum)SocialChoice | 1 | 3 | 5(3) |
| MedianSocialChoice | 1 | 3 | 5(5) |
| MinWeightBipartiteMatching | 1 | 3 | n(3) | | | (2,4) | 0 | 0.1 | 0.152 | 0.138 | 0.14875 | 0.46125 |
| --- | --- | --- | --- | --- | --- | --- |
| (3,4) | 0 | 0.1765 | 0.05 | 0.10825 | 0.17 | 0.49525 |
| (4,5) | 0 | 0.241 | 0.234 | 0.152 | 0.06775 | 0.30525 | | 0 |
| | 3newslices | 2newslices | | | |
| --- | --- | --- | --- | --- | --- |
| #runs | 1 | 2 | 3 | 4 | 5 |
| initial | 8.73 | 9.01 | 8.89 | 6.54 | 6.98 | | | master<br>mintrack<br>maxtrack | 6.06<br>5.96<br>6.06 | 6.22<br>6.16<br>6.24 | 6.18<br>6.07<br>6.23 | 6.67<br>6.60<br>6.11 | 7.10<br>7.02<br>7.15 |
| --- | --- | --- | --- | --- | --- |
| total | 14.9 | 15.4 | 15.3 | 13.4 | 14.2 | | 1 |
| | 3newslices | 2newslices | | | |
| --- | --- | --- | --- | --- | --- |
| #runs | 1 | 2 | 3 | 4 | 5 |
| initial | 8.73 | 9.01 | 8.89 | 6.54 | 6.98 | | | 8<br>4<br>2 | 895542<br>1791084<br>3582168 | 934040<br>1808784<br>3585869 |
| --- | --- | --- |
| 8<br>4<br>2 | 3203546<br>6407091<br>7<br>1.2814·10 | 3219769<br>6427398<br>7<br>1.2827·10 |
| 8<br>4<br>2 | 8.928·10<br>9<br>1.7856·10<br>9<br>3.5712·10 | 8.9394·10<br>9<br>1.7871·10<br>9<br>3.573·10 |
| 8<br>4<br>2 | 1.... | 0 |
| | 3newslices | 2newslices | | | |
| --- | --- | --- | --- | --- | --- |
| #runs | 1 | 2 | 3 | 4 | 5 | | | initial | 8.73 | 9.01 | 8.89 | 6.54 | 6.98 |
| --- | --- | --- | --- | --- | --- |
| master<br>mintrack<br>maxtrack | 6.06<br>5.96<br>6.06 | 6.22<br>6.16<br>6.24 | 6.18<br>6.07<br>6.23 | 6.67<br>6.60<br>6.11 | 7.10<br>7.02<br>7.15 |
| total | 14.9 | 15.4 | 15.3 | 13.4 | 14.2 | | 1 |
| | 3newslices | 2newslices | | | |
| --- | --- | --- | --- | --- | --- |
| #runs | 1 | 2 | 3 | 4 | 5 | | | 8<br>4<br>2 | 1.2497·10<br>9<br>2.4995·10<br>9<br>4.9989·10 | 1.251·10<br>9<br>2.5005·10<br>9<br>4.9995·10 |
| --- | --- | --- |
| 8 | 6.4582·10 | 6.4651·10 | | 0 |
| Class | Guptaet.al | RGB | Depth | RGB-D |
| --- | --- | --- | --- | --- |
| bedroom | 79 | 79.06 | 78.01 | 82.72 |
| kitchen | 74 | 65.09 | 60.38 | 75.47 |
| livingroom | 47 | 73.83 | 33.64 | 75.70 |
| bathroom | 67 | 89.66 | 81.03 | 96.55 |
| diningroom | 47 | 96.36 | 50.91 | 96.36 |
| office | 24 | 63.16 | 13.16 | 7... | | others | 15 | 85.37 | 39.02 | 95.12 |
| --- | --- | --- | --- | --- |
| meandiag.cm. | 47 | 79.29 | 48.11 | 83.81 |
| avg.accuracy | 58 | 77.52 | 55.81 | 82.42 | | 1 |
| Class | Guptaet.al | RGB | Depth | RGB-D |
| --- | --- | --- | --- | --- |
| bedroom | 79 | 79.06 | 78.01 | 82.72 |
| kitchen | 74 | 65.09 | 60.38 | 75.47 |
| livingroom | 47 | 73.83 | 33.64 | 75.70 |
| bathroom | 67 | 89.66 | 81.03 | 96.55 |
| diningroom | 47 | 96.36 | 50.91 | 96.36 |
| office | 24 | 63.16 | 13.16 | 7... | | 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 |
|... | 0 |
| Class | Guptaet.al | RGB | Depth | RGB-D |
| --- | --- | --- | --- | --- |
| bedroom | 79 | 79.06 | 78.01 | 82.72 |
| kitchen | 74 | 65.09 | 60.38 | 75.47 |
| livingroom | 47 | 73.83 | 33.64 | 75.70 |
| bathroom | 67 | 89.66 | 81.03 | 96.55 | | | diningroom | 47 | 96.36 | 50.91 | 96.36 |
| --- | --- | --- | --- | --- |
| office | 24 | 63.16 | 13.16 | 71.05 |
| homeoffice | 8.3 | 70.83 | 0.00 | 62.50 |
| classroom | 48 | 69.57 | 52.17 | 82.61 |
| bookstore | 64 | 100.00 | 72.73 | 100.00 |
| others | 15 | 85.37 | 39.02 | 95.12 |
| meandiag.cm. | 47 | 79.29 | 48.11 ... | 1 |
| Class | Guptaet.al | RGB | Depth | RGB-D |
| --- | --- | --- | --- | --- |
| bedroom | 79 | 79.06 | 78.01 | 82.72 |
| kitchen | 74 | 65.09 | 60.38 | 75.47 |
| livingroom | 47 | 73.83 | 33.64 | 75.70 |
| bathroom | 67 | 89.66 | 81.03 | 96.55 | | | 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 |
| GraphMotif | Static<br>SubgraphsTime | δ=1hour<br>SubgraphsTimeSpeedUp |
| --- | --- | --- |
| CollegeMSGM1<br>CollegeMSGM2<br>CollegeMSGM3<br>CollegeMSGM4<br>CollegeMSGM5<br>CollegeMSGM6 | 87618.8<br>238K43.2<br>1.57K19.3<br>482.18<br>202M9.88K<br>10.9M2.02K | 3.46K0.54634.5x<br>75.4K2.0421.1x<br>1.06K0.49938.6x<br>... | | MathOverflowM1<br>MathOverflowM2<br>MathOverflowM3<br>MathOverflowM4<br>MathOverflowM5<br>MathOverflowM6 | 1.42M2.94K<br>218M11.4K<br>5.53M4.02K<br>285K2.34K<br>—>24hr<br>—>24hr | 20.0012.94Mx<br>2480.015760Kx<br>40.0014.02Mx<br>00.015156Kx<br>8050.031>2.79Mx<br>1.70K0.062>1.39Mx |
| --- | --- | --- |
| EnronM1<br>EnronM2<... | 1 |
| GraphMotif | Static<br>SubgraphsTime | δ=1hour<br>SubgraphsTimeSpeedUp |
| --- | --- | --- |
| CollegeMSGM1<br>CollegeMSGM2<br>CollegeMSGM3<br>CollegeMSGM4<br>CollegeMSGM5<br>CollegeMSGM6 | 87618.8<br>238K43.2<br>1.57K19.3<br>482.18<br>202M9.88K<br>10.9M2.02K | 3.46K0.54634.5x<br>75.4K2.0421.1x<br>1.06K0.49938.6x<br>... | | Graph | Nodes<br>(Million) | Edges<br>(Million) | Outdegrees<br>MaxAvgσ |
| --- | --- | --- | --- |
| rmat20 | 1.05 | 8.26 | 1,1818177.40 |
| road-FLA<br>road-W<br>road-USA | 1.07<br>6.26<br>23.95 | 2.71<br>15.12<br>57.71 | 832.45<br>942.74<br>932.74 |
| ER20<br>ER23 | 1.05<br>8.39 | 4.19<br>33.55 | 1544.47<br>1034.4... | 0 |
| GraphMotif | Static<br>SubgraphsTime | δ=1hour<br>SubgraphsTimeSpeedUp |
| --- | --- | --- |
| CollegeMSGM1<br>CollegeMSGM2<br>CollegeMSGM3<br>CollegeMSGM4<br>CollegeMSGM5<br>CollegeMSGM6 | 87618.8<br>238K43.2<br>1.57K19.3<br>482.18<br>202M9.88K<br>10.9M2.02K | 3.46K0.54634.5x<br>75.4K2.0421.1x<br>1.06K0.49938.6x<br>... | | Email-EuM1<br>Email-EuM2<br>Email-EuM3<br>Email-EuM4<br>Email-EuM5<br>Email-EuM6 | 3.96K33.5<br>367K91.4<br>12.0K40.1<br>5544.99<br>57.7M7.18K<br>7.08M1.54K | 2581.1429.4x<br>30.1K1.8050.9x<br>4931.1534.7x<br>231.094.57x<br>4.71M13154.9x<br>31.1K2.45627x |
| --- | --- | --- |
| GraphMotif | Static<br>SubgraphsTime | ... | 1 |
| GraphMotif | Static<br>SubgraphsTime | δ=1hour<br>SubgraphsTimeSpeedUp |
| --- | --- | --- |
| CollegeMSGM1<br>CollegeMSGM2<br>CollegeMSGM3<br>CollegeMSGM4<br>CollegeMSGM5<br>CollegeMSGM6 | 87618.8<br>238K43.2<br>1.57K19.3<br>482.18<br>202M9.88K<br>10.9M2.02K | 3.46K0.54634.5x<br>75.4K2.0421.1x<br>1.06K0.49938.6x<br>... | | road-FLA<br>road-W<br>road-USA | 1.07<br>6.26<br>23.95 | 2.71<br>15.12<br>57.71 | 832.45<br>942.74<br>932.74 |
| --- | --- | --- | --- |
| ER20<br>ER23 | 1.05<br>8.39 | 4.19<br>33.55 | 1544.47<br>1034.46 |
| Graph500<br>(threegraphs) | 16.78 | 335.00 | 924,0002020,900 | | 0 |
| -classe1800(attendus=169,ramenes=102.00,corrects=6.00)<br>rappel=0.036precision=0.059f-mesure=0.044 |
| --- |
| -classe1810(attendus=169,ramenes=193.00,corrects=27.00)<br>rappel=0.160precision=0.140f-mesure=0.149 |
| -classe1820(attendus=169,ramenes=321.00,corrects=41.00)<br>rappel=0.243precision=0.128f-mesure=0.167 ... | | -classe1880(attendus=169,ramenes=118.00,corrects=13.00)<br>rappel=0.077precision=0.110f-mesure=0.091 |
| --- |
| -classe1890(attendus=197,ramenes=78.00,corrects=9.00)<br>rappel=0.046precision=0.115f-mesure=0.065 |
| -classe1900(attendus=203,ramenes=135.00,corrects=16.00)<br>rappel=0.079precision=0.119f-mesure=0.095 |... | 1 |
| -classe1800(attendus=169,ramenes=102.00,corrects=6.00)<br>rappel=0.036precision=0.059f-mesure=0.044 |
| --- |
| -classe1810(attendus=169,ramenes=193.00,corrects=27.00)<br>rappel=0.160precision=0.140f-mesure=0.149 |
| -classe1820(attendus=169,ramenes=321.00,corrects=41.00)<br>rappel=0.243precision=0.128f-mesure=0.167 ... | | -classe1800(attendus=169,ramenes=102.00,corrects=6.00)<br>rappel=0.036precision=0.059f-mesure=0.044 |
| --- |
| -classe1810(attendus=169,ramenes=193.00,corrects=27.00)<br>rappel=0.160precision=0.140f-mesure=0.149 |
| -classe1820(attendus=169,ramenes=321.00,corrects=41.00)<br>rappel=0.243precision=0.128f-mesure=0.167 ... | 0 |
| -classe1800(attendus=169,ramenes=102.00,corrects=6.00)<br>rappel=0.036precision=0.059f-mesure=0.044 |
| --- |
| -classe1810(attendus=169,ramenes=193.00,corrects=27.00)<br>rappel=0.160precision=0.140f-mesure=0.149 |
| -classe1820(attendus=169,ramenes=321.00,corrects=41.00)<br>rappel=0.243precision=0.128f-mesure=0.167 ... | | -classe1900(attendus=203,ramenes=135.00,corrects=16.00)<br>rappel=0.079precision=0.119f-mesure=0.095 |
| --- |
| -classe1910(attendus=201,ramenes=67.00,corrects=6.00)<br>rappel=0.030precision=0.090f-mesure=0.045 |
| -classe1920(attendus=200,ramenes=143.00,corrects=18.00)<br>rappel=0.090precision=0.126f-mesure=0.105 |... | 1 |
| -classe1800(attendus=169,ramenes=102.00,corrects=6.00)<br>rappel=0.036precision=0.059f-mesure=0.044 |
| --- |
| -classe1810(attendus=169,ramenes=193.00,corrects=27.00)<br>rappel=0.160precision=0.140f-mesure=0.149 |
| -classe1820(attendus=169,ramenes=321.00,corrects=41.00)<br>rappel=0.243precision=0.128f-mesure=0.167 ... | | -classe1900(attendus=203,ramenes=135.00,corrects=16.00)<br>rappel=0.079precision=0.119f-mesure=0.095 |
| --- |
| -classe1910(attendus=201,ramenes=67.00,corrects=6.00)<br>rappel=0.030precision=0.090f-mesure=0.045 |
| -classe1920(attendus=200,ramenes=143.00,corrects=18.00)<br>rappel=0.090precision=0.126f-mesure=0.105 |... | 0 |
| Algorithms | Memory(MB) |
| --- | --- |
| VGG | 2459.8 |
| SSDGoogleNet | 320.4 | | | SqueezeNet | 145.3 |
| --- | --- |
| MobileNet | 172.2 |
| L-CNN | 139.5 | | 1 |
| Algorithms | Memory(MB) |
| --- | --- |
| VGG | 2459.8 |
| SSDGoogleNet | 320.4 | | | CNN | Imageresolution | RunTime(ms) |
| --- | --- | --- |
| AlexNet | 227×227 | 2.3 |
| VGG16 | 224×224 | 10 |
| Resnet50 | 224×224 | 17 |
| SqueezeNet | 224×224 | 2.5 |
| SqueezeNet | 448×448 | 4 |
| SqueezeNet | 625×625 | 6 | | 0 |
| Algorithms | Memory(MB) |
| --- | --- |
| VGG | 2459.8 | | | SSDGoogleNet | 320.4 |
| --- | --- |
| SqueezeNet | 145.3 |
| MobileNet | 172.2 |
| L-CNN | 139.5 | | 1 |
| Algorithms | Memory(MB) |
| --- | --- |
| VGG | 2459.8 | | | SqueezeNet | 224×224 | 2.5 |
| --- | --- | --- |
| SqueezeNet | 448×448 | 4 |
| SqueezeNet | 625×625 | 6 | | 0 |
| | SDR(dB) | SIR(dB) | SAR(dB) | | | |
| --- | --- | --- | --- | --- | --- | --- |
| | MDLD | GaussSep | MDLD | GaussSep | MDLD | GaussSep | | | Dev3Female3 | 6.02 | 16.93 | 23.84 | 22.43 | 6.17 | 18.40 |
| --- | --- | --- | --- | --- | --- | --- |
| Example3×5 | 3.91 | 9.94 | 17.92 | 15.21 | 4.17 | 11.68 |
| Example4×8 | 2.24 | -18.63 | 16.4 | -17.58 | 2.52 | 9.39 | | 1 |
| | SDR(dB) | SIR(dB) | SAR(dB) | | | |
| --- | --- | --- | --- | --- | --- | --- |
| | MDLD | GaussSep | MDLD | GaussSep | MDLD | GaussSep | | | | SDR(dB) | SIR(dB) | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| | WMDLD | MDLD | GS | WMDLD | MDLD | GS | WMDLD | MDLD |
| Dev3Female4 | 11.77 | 6.02 | 16.93 | 22.26 | 23.84 | 22.43 | 12.23 | 6.17 |
| Example3×5 | 8.41 | 3.91 | 9.94 | 17.58 | 17.92 | 15.21 | 9.10 | 4.17 |
| Example... | 0 |
| | SDR(dB) | SIR(dB) | SAR(dB) | | | |
| --- | --- | --- | --- | --- | --- | --- |
| | MDLD | GaussSep | MDLD | GaussSep | MDLD | GaussSep | | | Dev3Female3 | 6.02 | 16.93 | 23.84 | 22.43 | 6.17 | 18.40 |
| --- | --- | --- | --- | --- | --- | --- |
| Example3×5 | 3.91 | 9.94 | 17.92 | 15.21 | 4.17 | 11.68 |
| Example4×8 | 2.24 | -18.63 | 16.4 | -17.58 | 2.52 | 9.39 | | 1 |
| | SDR(dB) | SIR(dB) | SAR(dB) | | | |
| --- | --- | --- | --- | --- | --- | --- |
| | MDLD | GaussSep | MDLD | GaussSep | MDLD | GaussSep | | | Example3×5 | 8.41 | 3.91 | 9.94 | 17.58 | 17.92 | 15.21 | 9.10 | 4.17 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| Example4×8 | 5.29 | 2.24 | -18.63 | 13.72 | 16.4 | -17.58 | 6.23 | 2.52 | | 0 |
| UL<br>GN |
| --- |
| UL<br>GN |
| UL<br>GN | | | UL<br>GN |
| --- |
| UL<br>GN | | 1 |
| UL<br>GN |
| --- |
| UL<br>GN |
| UL<br>GN | | | |
| --- |
| SL<br>DRL |
| SL<br>DRL |
| SL<br>DRL |
| SL<br>DRL |
| SL<br>DRL |
| SL<br>DRL |
| SL<br>DRL |
| SL<br>DRL |
| SL<br>DRL |
| SL<br>DRL | | 0 |
| UL<br>GN |
| --- |
| UL<br>GN |
| UL<br>GN | | | UL<br>GN |
| --- |
| UL<br>GN | | 1 |
| UL<br>GN |
| --- |
| UL<br>GN |
| UL<br>GN | | | SL<br>DRL |
| --- |
| SL<br>DRL |
| SL<br>DRL |
| SL<br>DRL |
| SL<br>DRL | | 0 |
| Class(Tissuetype) | T<br>Labely |
| --- | --- |
| class1(BK) | (1,0,0,0,0) | | | class2(LP) | (0,1,0,0,0) |
| --- | --- |
| class3(FT) | (0,0,1,0,0) |
| class4(MT) | (0,0,0,1,0) |
| class5(CA) | (0,0,0,0,1) | | 1 |
| Class(Tissuetype) | T<br>Labely |
| --- | --- |
| class1(BK) | (1,0,0,0,0) | | | TypeofLesion | Class |
| --- | --- |
| Healthy/NoLesionandBackground | 0 |
| NecroticRegion | 1 |
| Edema | 2 |
| NonEnhancingTumor | 3 |
| EnhancingTumor | 4 | | 0 |
| Class(Tissuetype) | T<br>Labely |
| --- | --- |
| class1(BK) | (1,0,0,0,0) |
| class2(LP) | (0,1,0,0,0) |
| class3(FT) | (0,0,1,0,0) | | | class4(MT) | (0,0,0,1,0) |
| --- | --- |
| class5(CA) | (0,0,0,0,1) | | 1 |
| Class(Tissuetype) | T<br>Labely |
| --- | --- |
| class1(BK) | (1,0,0,0,0) |
| class2(LP) | (0,1,0,0,0) |
| class3(FT) | (0,0,1,0,0) | | | NonEnhancingTumor | 3 |
| --- | --- |
| EnhancingTumor | 4 | | 0 |
| | SubgamePerfect<br>Equilibrium | PerfectPrediction<br>Equilibrium |
| --- | --- | --- |
| FormoftheGame | Extensive | Extensive |
| PerfectInformation | Yes | Yes |
| Numberofplayers | Any | Any |
| NewcombChoice | Twoboxes | Onebox |
| PredictionModel<br>accountingfor<br>counterfactuals | Ad-HocPrediction<br>(“cou... | | Existence | Always | Always |
| --- | --- | --- |
| Uniqueness | Always | Always |
| Optimality | - | Pareto |
| Corresponding<br>NormalForm | Nash<br>(subsuming) | Superrationality(notestablished/<br>conceptuallysimilar) | | 1 |
| | SubgamePerfect<br>Equilibrium | PerfectPrediction<br>Equilibrium |
| --- | --- | --- |
| FormoftheGame | Extensive | Extensive |
| PerfectInformation | Yes | Yes |
| Numberofplayers | Any | Any |
| NewcombChoice | Twoboxes | Onebox |
| PredictionModel<br>accountingfor<br>counterfactuals | Ad-HocPrediction<br>(“cou... | | Criterion | MANCaLog | IC/LT | SNOP | CD | EGT/VM |
| --- | --- | --- | --- | --- | --- |
| 1.Labels | Yes | No | Yes | Yes | No |
| 2.ExplicitRepresentationofTime | Yes | No | Yes | No | Yes |
| 3.Non-MarkovianTemporalRelationships | Yes | No | No | No | No |
| 4.Uncertainty | Yes | Yes | Yes | Yes | Yes |
| 5.Compe... | 0 |
| | SubgamePerfect<br>Equilibrium | PerfectPrediction<br>Equilibrium |
| --- | --- | --- |
| FormoftheGame | Extensive | Extensive |
| PerfectInformation | Yes | Yes |
| Numberofplayers | Any | Any |
| NewcombChoice | Twoboxes | Onebox |
| PredictionModel<br>accountingfor<br>counterfactuals | Ad-HocPrediction<br>(“cou... | | Uniqueness | Always | Always |
| --- | --- | --- |
| Optimality | - | Pareto |
| Corresponding<br>NormalForm | Nash<br>(subsuming) | Superrationality(notestablished/<br>conceptuallysimilar) | | 1 |
| | SubgamePerfect<br>Equilibrium | PerfectPrediction<br>Equilibrium |
| --- | --- | --- |
| FormoftheGame | Extensive | Extensive |
| PerfectInformation | Yes | Yes |
| Numberofplayers | Any | Any |
| NewcombChoice | Twoboxes | Onebox |
| PredictionModel<br>accountingfor<br>counterfactuals | Ad-HocPrediction<br>(“cou... | | 2.ExplicitRepresentationofTime | Yes | No | Yes | No | Yes |
| --- | --- | --- | --- | --- | --- |
| 3.Non-MarkovianTemporalRelationships | Yes | No | No | No | No |
| 4.Uncertainty | Yes | Yes | Yes | Yes | Yes |
| 5.CompetingCascades | Yes | No | No | Yes | Yes |
| 6.Non-monotonicCascades | Yes | No | No | Yes | Ye... | 0 |
| 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 |... | 1 |
| category | ours | | |
| --- | --- | --- | --- |
| bathtub | 0.0152 | 0.0266 | 0.0621 |
| bed | 0.0068 | 0.0240 | 0.0617 | | | category | ours | | | |
| --- | --- | --- | --- | --- |
| bathtub | 0.8348 | 0.7017 | 0.7190 | 0.1644 |
| bed | 0.9202 | 0.7775 | 0.3963 | 0.3239 |
| chair | 0.9920 | 0.9700 | 0.9892 | 0.8482 |
| desk | 0.8203 | 0.7936 | 0.8145 | 0.1068 |
| dresser | 0.7678 | 0.6314 | 0.7010 | 0.2166 |
| monitor | 0.9473 | 0.2493 ... | 0 |
| 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 | | 1 |
| 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 | | | table | 0.8910 | 0.8377 | 0.8751 | 0.7902 |
| --- | --- | --- | --- | --- |
| toilet | 0.9701 | 0.8569 | 0.6943 | 0.8832 |
| Avg. | 0.8811 | 0.7431 | 0.7006 | 0.4596 | | 0 |
| Facet | Numberofmanually<br>definedclusters | Hierarchicalclustering | Non-hierarchicalclustering | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Purity | I-Purity | F1 | Purity | I-Purity | F1 | | |
| Battery | 4 | 0.864 | 0.591 | 0.702 | 0.864 | 0.636 | 0.733 |
| Memory | 3 | 0.643 | 1.000 | 0.78... | | Shutter | 6 | 0.643 | 0.929 | 0.760 | 0.643 | 0.929 | 0.760 |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Average | 5.13 | 0.676 | 0.819 | 0.725 | 0.714 | 0.828 | 0.753 |
| Battery | 3 | 0.824 | 0.765 | 0.793 | 0.765 | 0.706 | 0.734 |
| Camera | 3 | 0.727 | 0.636 | 0.679 | 0.727 | 0.636 | 0.679 |
| Headset | ... | 1 |
| Facet | Numberofmanually<br>definedclusters | Hierarchicalclustering | Non-hierarchicalclustering | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Purity | I-Purity | F1 | Purity | I-Purity | F1 | | |
| Battery | 4 | 0.864 | 0.591 | 0.702 | 0.864 | 0.636 | 0.733 |
| Memory | 3 | 0.643 | 1.000 | 0.78... | | | 5VirtualLandscapeDatasets | 7VirtualLandscapeDatasets | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| N-based | G-based | I-based | N-based | G-based | I-based | N-based | |
| Accuracy | 0.9931 | 0.9950 | 0.9927 | 0.9939 | 0.9950 | 0.9930 | 0.9936 |
| Precision | 0.6154 | 0.7080 | 0.7143 | 0.... | 0 |
| Facet | Numberofmanually<br>definedclusters | Hierarchicalclustering | Non-hierarchicalclustering | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Purity | I-Purity | F1 | Purity | I-Purity | F1 | | |
| Battery | 4 | 0.864 | 0.591 | 0.702 | 0.864 | 0.636 | 0.733 |
| Memory | 3 | 0.643 | 1.000 | 0.78... | | Format | 1 | 1.000 | 0.714 | 0.833 | 1.000 | 0.571 | 0.727 |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Design | 1 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 |
| Service | 1 | 1.000 | 0.739 | 0.850 | 1.000 | 0.522 | 0.686 |
| Picture | 4 | 0.800 | 0.850 | 0.824 | 0.800 | 0.850 | 0.824 |
| Average | 2.00... | 1 |
| Facet | Numberofmanually<br>definedclusters | Hierarchicalclustering | Non-hierarchicalclustering | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Purity | I-Purity | F1 | Purity | I-Purity | F1 | | |
| Battery | 4 | 0.864 | 0.591 | 0.702 | 0.864 | 0.636 | 0.733 |
| Memory | 3 | 0.643 | 1.000 | 0.78... | | R.T(second) | 2.74 | 2.67 | 2.41 | 3.29 | 3.30 | 3.44 | 4.69 |
| --- | --- | --- | --- | --- | --- | --- | --- |
| M.U(MB) | 0.42 | 0.42 | 0.42 | 0.42 | 0.42 | 0.42 | 0.42 | | 0 |
| Method | #ofHiddenLayers | #ofHiddenUnits |
| --- | --- | --- |
| 1DVector | One | 200;400;600;800;1000 | | | Two | [200,200];[400,400];[600,600];[800,800] | |
| --- | --- | --- |
| 2DConvolving | One | 144;169;196;255;256;289 |
| Two | [361,100] | | | 1 |
| Method | #ofHiddenLayers | #ofHiddenUnits |
| --- | --- | --- |
| 1DVector | One | 200;400;600;800;1000 | | | 2DConvolutional(filters=64,kernelsize=3,activation=”relu”,padding=”same”) |
| --- |
| 2DConvolutional(filters=64,kernelsize=3,activation=“relu”,padding=“same”) |
| 2DConvolutional(filters=64,kernelsize=3,activation=“relu”,padding=“same”) |
| MaxPooling(poolsize=(2,2),strides=(2,2)) |
| 2DConvolutional(filters=128,kernels... | 0 |
| Method | #ofHiddenLayers | #ofHiddenUnits |
| --- | --- | --- |
| 1DVector | One | 200;400;600;800;1000 | | | Two | [200,200];[400,400];[600,600];[800,800] | |
| --- | --- | --- |
| 2DConvolving | One | 144;169;196;255;256;289 |
| Two | [361,100] | | | 1 |
| Method | #ofHiddenLayers | #ofHiddenUnits |
| --- | --- | --- |
| 1DVector | One | 200;400;600;800;1000 | | | 2DConvolutional(filters=512,kernelsize=3,activation=“relu”,padding=“same”) |
| --- |
| 2DConvolutional(filters=512,kernelsize=3,activation=“relu”,padding=“same”) |
| 2DConvolutional(filters=512,kernelsize=3,activation=“relu”,padding=“same”) |
| MaxPooling(poolsize=(2,2),strides=(2,2)) |
| Dense(1024,activation=“relu”) |... | 0 |
| Dataset | WSim(SIM) | WSim(REL) | | |
| --- | --- | --- | --- | --- |
| Window | 2 | 3 | 2 | 3 |
| CosFreq | 0.208 | 0.158 | 0.167 | 0.175 |
| CosLMI | 0.416 | 0.395 | 0.251 | 0.269 |
| CosPPMI | 0.52 | 0.496 | 0.378 | 0.396 |
| CosSVD-Freq300 | 0.240 | 0.214 | 0.051 | 0.084 |
| CosSVD-LMI300 | 0.418 | 0.393 | 0.14... | | APSynLMI-1000 | 0.32 | 0.29 | 0.259 | 0.241 |
| --- | --- | --- | --- | --- |
| APSynLMI-500 | 0.355 | 0.319 | 0.261 | 0.284 |
| APSynLMI-100 | 0.388 | 0.335 | 0.233 | 0.27 |
| APSynPPMI-1000 | 0.519 | 0.525 | 0.337 | 0.397 |
| APSynPPMI-500 | 0.564 | 0.546 | 0.361 | 0.382 |
| PMIAPSynPPMI-100 | 0.562 | 0.553 | 0.287... | 1 |
| Dataset | WSim(SIM) | WSim(REL) | | |
| --- | --- | --- | --- | --- |
| Window | 2 | 3 | 2 | 3 |
| CosFreq | 0.208 | 0.158 | 0.167 | 0.175 |
| CosLMI | 0.416 | 0.395 | 0.251 | 0.269 |
| CosPPMI | 0.52 | 0.496 | 0.378 | 0.396 |
| CosSVD-Freq300 | 0.240 | 0.214 | 0.051 | 0.084 |
| CosSVD-LMI300 | 0.418 | 0.393 | 0.14... | | Dataset | WSim(SIM) | WSim(REL) | | |
| --- | --- | --- | --- | --- |
| Window | 2 | 3 | 2 | 3 |
| CosFreq | 0.335 | 0.334 | 0.03 | 0.05 |
| CosLMI | 0.638 | 0.663 | 0.293 | 0.34 |
| CosPPMI | 0.672 | 0.675 | 0.441 | 0.446 |
| CosSVD-Freq300 | 0.35 | 0.363 | -0.013 | 0.001 |
| CosSVD-LMI300 | 0.604 | 0.626 | 0.222 ... | 0 |
| Dataset | WSim(SIM) | WSim(REL) | | |
| --- | --- | --- | --- | --- |
| Window | 2 | 3 | 2 | 3 |
| CosFreq | 0.208 | 0.158 | 0.167 | 0.175 | | | CosLMI | 0.416 | 0.395 | 0.251 | 0.269 |
| --- | --- | --- | --- | --- |
| CosPPMI | 0.52 | 0.496 | 0.378 | 0.396 |
| CosSVD-Freq300 | 0.240 | 0.214 | 0.051 | 0.084 |
| CosSVD-LMI300 | 0.418 | 0.393 | 0.141 | 0.151 |
| CosSVD-PPMI300 | 0.550 | 0.522 | 0.325 | 0.323 |
| APSynLMI-1000 | 0.32 | 0.29 | 0.259 | 0.241 |
| ... | 1 |
| Dataset | WSim(SIM) | WSim(REL) | | |
| --- | --- | --- | --- | --- |
| Window | 2 | 3 | 2 | 3 |
| CosFreq | 0.208 | 0.158 | 0.167 | 0.175 | | | APSynLMI-1000 | 0.609 | 0.609 | 0.317 | 0.36 |
| --- | --- | --- | --- | --- |
| APSynLMI-500 | 0.599 | 0.601 | 0.289 | 0.344 |
| APSynLMI-100 | 0.566 | 0.574 | 0.215 | 0.271 |
| APSynPPMI-1000 | 0.692 | 0.726 | 0.507 | 0.568 |
| APSynPPMI-500 | 0.699 | 0.742 | 0.508 | 0.571 |
| APSynPPMI-100 | 0.66 | 0.692 | 0.482 |... | 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 |
| | 30dB | 20dB | 10dB |
| --- | --- | --- | --- |
| DNN-ILD | 3.03±.046 | 3.03±.046 | 3.05±.046 |
| Linear-ILD | 2.31±.036 | 2.32±.036 | 2.36±.037 | | | DNN-IPD | 0.48±.009 | 0.48±.009 | 0.48±.009 |
| --- | --- | --- | --- |
| Linear-IPD | 0.40±.008 | 0.40±.008 | 0.41±.008 | | 1 |
| | 30dB | 20dB | 10dB |
| --- | --- | --- | --- |
| DNN-ILD | 3.03±.046 | 3.03±.046 | 3.05±.046 |
| Linear-ILD | 2.31±.036 | 2.32±.036 | 2.36±.037 | | | | 1cm | 2cm | 4cm | 8cm |
| --- | --- | --- | --- | --- |
| DNN-ILD | 3.01±.044 | 3.03±.046 | 3.10±.047 | 3.23±.049 |
| Linear-ILD | 0.92±.017 | 2.21±.036 | 3.18±.049 | 3.43±.052 |
| DNN-IPD | 0.46±.008 | 0.48±.009 | 0.50±.009 | 0.54±.009 |
| Linear-IPD | 0.17±.005 | 0.38±.008 | 0.53±.009 | 0.57±.010 | | 0 |
| | 30dB | 20dB | 10dB |
| --- | --- | --- | --- |
| DNN-ILD | 3.03±.046 | 3.03±.046 | 3.05±.046 |
| Linear-ILD | 2.31±.036 | 2.32±.036 | 2.36±.037 | | | DNN-IPD | 0.48±.009 | 0.48±.009 | 0.48±.009 |
| --- | --- | --- | --- |
| Linear-IPD | 0.40±.008 | 0.40±.008 | 0.41±.008 | | 1 |
| | 30dB | 20dB | 10dB |
| --- | --- | --- | --- |
| DNN-ILD | 3.03±.046 | 3.03±.046 | 3.05±.046 |
| Linear-ILD | 2.31±.036 | 2.32±.036 | 2.36±.037 | | | DNN-IPD | 0.46±.008 | 0.48±.009 | 0.50±.009 | 0.54±.009 |
| --- | --- | --- | --- | --- |
| Linear-IPD | 0.17±.005 | 0.38±.008 | 0.53±.009 | 0.57±.010 | | 0 |
| Link | Thedegreeofdependence |
| --- | --- |
| (S,S)115 | 0.7 | | | (S,S)511 | 0.6 |
| --- | --- |
| (S,S)1223 | 0.3 |
| (S,S)2312 | 0.1 | | 1 |
| Link | Thedegreeofdependence |
| --- | --- |
| (S,S)115 | 0.7 | | | Link | Thedegreeofdependence |
| --- | --- |
| (S,S)835 | 0.6 |
| (S,S)358 | 0.2 |
| (S,S)1013 | 0.7 |
| (S,S)1310 | 0.3 | | 0 |
| Link | Thedegreeofdependence |
| --- | --- |
| (S,S)115 | 0.7 |
| (S,S)511 | 0.6 | | | (S,S)1223 | 0.3 |
| --- | --- |
| (S,S)2312 | 0.1 | | 1 |
| Link | Thedegreeofdependence |
| --- | --- |
| (S,S)115 | 0.7 |
| (S,S)511 | 0.6 | | | (S,S)358 | 0.2 |
| --- | --- |
| (S,S)1013 | 0.7 |
| (S,S)1310 | 0.3 | | 0 |
| Rule1 | Rule2 | Rule3 | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| IG | CC | IG | CC | IG | CC | |
| Age | 0 | 0.04 | 0 | 0 | 0 | -0.10 |
| Gender | 0.06 | 0.14 | 0.06 | 0.13 | 0 | -0.06 | | | Job | 0.08 | -0.18 | 0.08 | -0.17 | 0.04 | 0.11 |
| --- | --- | --- | --- | --- | --- | --- |
| Studies | 0 | 0.18 | 0 | 0.16 | 0 | 0.017 |
| Freq.ofuse | 0.03 | 0.05 | 0.06 | 0.08 | 0.02 | -0.07 |
| #Accounts | 0 | 0.14 | 0 | 0.16 | 0 | -0.05 |
| Priv.Concern | 0 | 0.13 | 0 | 0.16 | 0 | 0.04 | | 1 |
| Rule1 | Rule2 | Rule3 | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| IG | CC | IG | CC | IG | CC | |
| Age | 0 | 0.04 | 0 | 0 | 0 | -0.10 |
| Gender | 0.06 | 0.14 | 0.06 | 0.13 | 0 | -0.06 | | | Group | 4 | 5 | 6 | 7 | 8 | 9 | 11 | 12 | 13 | rule |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | 77.80 | 63.41 | 51.43 | 81.72 | 81.49 | 76.23 | 81.41 | 78.60 | 81.49 | 81.49 |
| 2 | 14.68 | 10.87 | 2.08 | 16.18 | 15.95 | 14.68 | 16.07 | 16.07 | 15.95 | 15.95 |
| 3 | 65.94 | 41.16 | 33.... | 0 |
| Rule1 | Rule2 | Rule3 | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| IG | CC | IG | CC | IG | CC | |
| Age | 0 | 0.04 | 0 | 0 | 0 | -0.10 |
| Gender | 0.06 | 0.14 | 0.06 | 0.13 | 0 | -0.06 |
| Job | 0.08 | -0.18 | 0.08 | -0.17 | 0.04 | 0.11 |
| Studies | 0 | 0.18 | 0 | 0.16 | 0 | 0.017 | | | Freq.ofuse | 0.03 | 0.05 | 0.06 | 0.08 | 0.02 | -0.07 |
| --- | --- | --- | --- | --- | --- | --- |
| #Accounts | 0 | 0.14 | 0 | 0.16 | 0 | -0.05 |
| Priv.Concern | 0 | 0.13 | 0 | 0.16 | 0 | 0.04 | | 1 |
| Rule1 | Rule2 | Rule3 | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| IG | CC | IG | CC | IG | CC | |
| Age | 0 | 0.04 | 0 | 0 | 0 | -0.10 |
| Gender | 0.06 | 0.14 | 0.06 | 0.13 | 0 | -0.06 |
| Job | 0.08 | -0.18 | 0.08 | -0.17 | 0.04 | 0.11 |
| Studies | 0 | 0.18 | 0 | 0.16 | 0 | 0.017 | | | 3 | 65.94 | 41.16 | 33.62 | 72.75 | 72.75 | 69.06 | 68.98 | 70.48 | 74.17 | 72.75 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 4 | 73.27 | 62.18 | 48.71 | 77.62 | 77.62 | 73.66 | 77.23 | 77.62 | 77.62 | 77.62 |
| 5 | 27.75 | 18.77 | 17.66 | 28.86 | 28.86 | 21.39 | 29.87 | 28.86 | 28.86 | 28... | 0 |
| (30,5,24,2−2−2)<br>371816<br>(38,5,32,2−2−2)<br>4321186∗<br>(44,5,38,2−2−2−2)<br>5326216∗<br>(54,5,48,2−2−2−2)<br>5929236∗<br>(60,5,54,2−2−2−2)<br>6934266∗<br>(70,5,64,2−2−2−2)<br>7537286∗<br>(76,5,70,2−2−2−2)<br>8341306∗<br>(84,5,78,2−2−2−2)<br>8944326∗<br>(90,5,84,2−2−2−2)<br>974834326∗<br>(98,5,92,2−2−2−2−2) | (36... | | (38,7,30,2−2−2−2)<br>452220<br>(46,7,38,2−2−2)<br>512522218∗<br>(52,7,44,2−2−2−2−2)<br>572824238∗<br>(58,7,50,2−2−2−2−2)<br>633126258∗<br>(64,7,46,2−2−2−2−2)<br>693428278∗<br>(70,7,62,2−2−2−2−2)<br>7337308∗<br>(76,7,68,2−2−2−2)<br>8140328∗<br>(82,7,74,2−2−2−2)<br>8743348∗<br>(88,7,80,2−2−2−2)<br>9748378∗<br>(98,7,90,... | 1 |
| (30,5,24,2−2−2)<br>371816<br>(38,5,32,2−2−2)<br>4321186∗<br>(44,5,38,2−2−2−2)<br>5326216∗<br>(54,5,48,2−2−2−2)<br>5929236∗<br>(60,5,54,2−2−2−2)<br>6934266∗<br>(70,5,64,2−2−2−2)<br>7537286∗<br>(76,5,70,2−2−2−2)<br>8341306∗<br>(84,5,78,2−2−2−2)<br>8944326∗<br>(90,5,84,2−2−2−2)<br>974834326∗<br>(98,5,92,2−2−2−2−2) | (36... | | | | |
| --- | --- | --- |
| | | |
| d1<br>d2<br>d3 | 0,27×104480,25×10<br>291761203628673<br>666<br>0,50×100,45×100,30×10 | 2,58×10752,58×10<br>66<br>4,12×103474,11×10<br>666<br>24,45×1019,62×103,46×10 |
| total | 0,80×100,46×100,58×10 | 31,15×1019,62×1010,16×10 |
| DBLP | Netflix | |
| | | |
| d1<br>d2<br>d... | 0 |
| (30,5,24,2−2−2)<br>371816<br>(38,5,32,2−2−2)<br>4321186∗<br>(44,5,38,2−2−2−2)<br>5326216∗<br>(54,5,48,2−2−2−2)<br>5929236∗<br>(60,5,54,2−2−2−2)<br>6934266∗<br>(70,5,64,2−2−2−2)<br>7537286∗<br>(76,5,70,2−2−2−2)<br>8341306∗<br>(84,5,78,2−2−2−2)<br>8944326∗<br>(90,5,84,2−2−2−2)<br>974834326∗<br>(98,5,92,2−2−2−2−2) | (36... | | (42,8,33,2−2−2−2)<br>49242221<br>(50,8,41,2−2−2−2)<br>5728259∗<br>(58,8,49,2−2−2−2)<br>67332529<br>(68,8,59,2−2−2−2)<br>7135309∗<br>(72,8,63,2−2−2−2)<br>7738329∗<br>(78,8,69,2−2−2−2)<br>8743359∗<br>(88,8,79,2−2−2−2)<br>9346379∗<br>(94,8,85,2−2−2−2)<br>9949399∗<br>(100,8,91,2−2−2−2) | (44,8,35,2−2−2)<br>512523<br>(52,... | 1 |
| (30,5,24,2−2−2)<br>371816<br>(38,5,32,2−2−2)<br>4321186∗<br>(44,5,38,2−2−2−2)<br>5326216∗<br>(54,5,48,2−2−2−2)<br>5929236∗<br>(60,5,54,2−2−2−2)<br>6934266∗<br>(70,5,64,2−2−2−2)<br>7537286∗<br>(76,5,70,2−2−2−2)<br>8341306∗<br>(84,5,78,2−2−2−2)<br>8944326∗<br>(90,5,84,2−2−2−2)<br>974834326∗<br>(98,5,92,2−2−2−2−2) | (36... | | d1<br>d2<br>d3 | 0,79×102370,55×10<br>66<br>2,62×10424070,97×10<br>666<br>3,27×101,61×101,61×10 | 15,54×1025612,47×10<br>966<br>0,19×100,14×1020,30×10<br>966<br>0,20×1044,52×100,92×10 |
| --- | --- | --- |
| total | 6,68×101,61×102,13×10 | 0,39×1044,66×1033,69×10 | | 0 |
| | AverageReward | TotalReward | K-DDifference |
| --- | --- | --- | --- |
| Game1 | 0.77 | 155.68 | 11 |
| Game2 | 0.74 | 149.38 | 8 |
| Game3 | 0.84 | 168.57 | 15 | | | Game4 | 0.61 | 122.12 | -8 |
| --- | --- | --- | --- |
| Game5 | 0.97 | 194.40 | 37 | | 1 |
| | AverageReward | TotalReward | K-DDifference |
| --- | --- | --- | --- |
| Game1 | 0.77 | 155.68 | 11 |
| Game2 | 0.74 | 149.38 | 8 |
| Game3 | 0.84 | 168.57 | 15 | | | MeanRank | | |
| --- | --- | --- |
| 210 | 119 | 48.5 |
| 212 | 87 | 45.7 |
| 167 | 39 | 51.7 |
| 200 | 113 | 44.3 |
| 181 | 93 | 49.6 |
| 213 | 113 | 52.0 |
| 188 | 85 | 53.5 |
| MeanRank | | |
| 263 | 251 | 75.4 |
| 401 | 338 | 73.0 |
| 312 | 193 | 81.3 |
| 168 | 156 | 81.2 | | 0 |
| | AverageReward | TotalReward | K-DDifference |
| --- | --- | --- | --- |
| Game1 | 0.77 | 155.68 | 11 | | | Game2 | 0.74 | 149.38 | 8 |
| --- | --- | --- | --- |
| Game3 | 0.84 | 168.57 | 15 |
| Game4 | 0.61 | 122.12 | -8 |
| Game5 | 0.97 | 194.40 | 37 | | 1 |
| | AverageReward | TotalReward | K-DDifference |
| --- | --- | --- | --- |
| Game1 | 0.77 | 155.68 | 11 | | | 167 | 39 | 51.7 |
| --- | --- | --- |
| 200 | 113 | 44.3 |
| 181 | 93 | 49.6 |
| 213 | 113 | 52.0 |
| 188 | 85 | 53.5 |
| MeanRank | | |
| 263 | 251 | 75.4 |
| 401 | 338 | 73.0 |
| 312 | 193 | 81.3 |
| 168 | 156 | 81.2 | | 0 |
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