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1509.04693v1.4_aug_low_8685_high_48240_high_94796_high_35411
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1805.01056v1.6_aug_low_5522_high_80699_high_69437
train
0.602217
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{ "cells": [ { "content": [ "~", "u", "-", "1)(u?", "+u", "+", "1)/u2", "~", "z-1" ], "end_col": 2, "end_row": 4, "id": 0, "start_col": 1, "start_row": 4, "tex": "" }, { "content": [ "+1)2", "/u" ], "end_col": 1, "end_row": 1, "id": 1, "start_col": 0, "start_row": 1, "tex": "" }, { "content": [ "2", "+1", "~", "~", "z-1", "22", "+", "1" ], "end_col": 0, "end_row": 3, "id": 2, "start_col": 0, "start_row": 0, "tex": "" }, { "content": [ "+1)/u", "2", "+1" ], "end_col": 2, "end_row": 2, "id": 3, "start_col": 0, "start_row": 2, "tex": "" }, { "content": [ "71)27u" ], "end_col": 2, "end_row": 0, "id": 4, "start_col": 0, "start_row": 0, "tex": "" }, { "content": [], "end_col": 2, "end_row": 1, "id": 5, "start_col": 3, "start_row": 1, "tex": "" }, { "content": [ "22", "+", "1", "+u3+u2", "+u+1)/u2" ], "end_col": 1, "end_row": 4, "id": 6, "start_col": 0, "start_row": 4, "tex": "" }, { "content": [ "71)27u", "+1)2", "/u", "+1)/u", "2", "+1", "~", "u", "-", "1)(u?", "+u", "+", "1)/u2", "~", "z-1", "22", "+", "1", "+u3+u2", "+u+1)/u2" ], "end_col": 0, "end_row": 5, "id": 7, "start_col": 0, "start_row": 3, "tex": "" } ] }
1709.05666v1.8_aug_low_4002_high_13668_high_99329
train
0.669872
{ "cells": [ { "content": [ "∀a∀b∀c∀d", "son(a,", "b)", "∧", "daughter(b,", "c)", "∧", "son(d,", "c)", "⇒", "uncle(d,", "a)" ], "end_col": 0, "end_row": 8, "id": 8, "start_col": 0, "start_row": 8, "tex": "$\\mathtt{\\forall a \\forall b \\forall c \\forall d\\enspace son(a,b) \\wedge daughter(b,c) \\wedge son(d,c) \\Rightarrow uncle(d,a)}$" }, { "content": [ "∀a∀b∀c∀d", "daughter(a,", "b)", "∧", "son(b,", "c)", "∧", "daughter(d,", "c)", "⇒", "niece(a,", "d)" ], "end_col": 0, "end_row": 11, "id": 11, "start_col": 0, "start_row": 11, "tex": "$\\mathtt{\\forall a \\forall b \\forall c \\forall d\\enspace daughter(a,b) \\wedge son(b,c) \\wedge daughter(d,c) \\Rightarrow niece(a,d)}$" }, { "content": [ "∀a∀b∀c", "mother(a,", "b)", "∧", "mother(b,", "c)", "⇒", "grandmother(a,", "c)" ], "end_col": 0, "end_row": 6, "id": 6, "start_col": 0, "start_row": 6, "tex": "$\\mathtt{\\forall a \\forall b \\forall c\\enspace mother(a,b) \\wedge mother(b,c) \\Rightarrow grandmother(a,c)}$" }, { "content": [ "∀a∀b∀c", "son(a,", "b)", "∧", "son(b,", "c)", "⇒", "grandson(a,", "c)" ], "end_col": 0, "end_row": 5, "id": 5, "start_col": 0, "start_row": 5, "tex": "$\\mathtt{\\forall a \\forall b \\forall c\\enspace son(a,b) \\wedge son(b,c) \\Rightarrow grandson(a,c)}$" }, { "content": [ "∀a∀b∀c", "father(a,", "b)", "∧", "father(b,", "c)", "⇒", "grandfather(a,", "c)" ], "end_col": 0, "end_row": 4, "id": 4, "start_col": 0, "start_row": 4, "tex": "$\\mathtt{\\forall a \\forall b \\forall c\\enspace father(a,b) \\wedge father(b,c) \\Rightarrow grandfather(a,c)}$" }, { "content": [ "∀a∀b∀c", "father(a,", "c)", "∧", "mother(b,", "c)", "⇒", "wife(b,", "a)" ], "end_col": 0, "end_row": 1, "id": 1, "start_col": 0, "start_row": 1, "tex": "$\\mathtt{\\forall a \\forall b \\forall c\\enspace father(a,c) \\wedge mother(b,c) \\Rightarrow wife(b,a)}$" }, { "content": [ "∀a∀b∀c∀d∀e", "son(a,", "b)", "∧", "daughter(b,", "c)", "∧", "son(d,", "c)", "∧", "daughter(e,", "d)", "⇒", "cousin(a,", "e)" ], "end_col": 0, "end_row": 12, "id": 12, "start_col": 0, "start_row": 12, "tex": "$\\mathtt{\\forall a \\forall b \\forall c \\forall d \\forall e\\enspace son(a,b) \\wedge daughter(b,c) \\wedge son(d,c) \\wedge daughter(e,d) \\Rightarrow cousin(a,e)}$" }, { "content": [ "∀a∀b∀c∀d", "daughter(a,", "b)", "∧", "son(b,", "c)", "∧", "daughter(d,", "c)", "⇒", "aunt(d,", "a)" ], "end_col": 0, "end_row": 9, "id": 9, "start_col": 0, "start_row": 9, "tex": "$\\mathtt{\\forall a \\forall b \\forall c \\forall d\\enspace daughter(a,b) \\wedge son(b,c) \\wedge daughter(d,c) \\Rightarrow aunt(d,a)}$" }, { "content": [ "∀a∀b∀c∀d", "son(a,", "b)", "∧", "daughter(b,", "c)", "∧", "son(d,", "c)", "⇒", "nephew(a,", "d)" ], "end_col": 0, "end_row": 10, "id": 10, "start_col": 0, "start_row": 10, "tex": "$\\mathtt{\\forall a \\forall b \\forall c \\forall d\\enspace son(a,b) \\wedge daughter(b,c) \\wedge son(d,c) \\Rightarrow nephew(a,d)}$" }, { "content": [ "∀a∀b∀c", "daughter(a,", "b)", "∧", "daughter(b,", "c)", "⇒", "granddaughter(a,", "c)" ], "end_col": 0, "end_row": 7, "id": 7, "start_col": 0, "start_row": 7, "tex": "$\\mathtt{\\forall a \\forall b \\forall c\\enspace daughter(a,b) \\wedge daughter(b,c) \\Rightarrow granddaughter(a,c)}$" }, { "content": [ "∀a∀b∀c", "daughter(a,", "c)", "∧", "son(b,", "c)", "⇒", "sister(a,", "b)" ], "end_col": 0, "end_row": 2, "id": 2, "start_col": 0, "start_row": 2, "tex": "$\\mathtt{\\forall a \\forall b \\forall c\\enspace daughter(a,c) \\wedge son(b,c) \\Rightarrow sister(a,b)}$" }, { "content": [ "∀a∀b∀c", "father(a,", "c)", "∧", "mother(b,", "c)", "⇒", "husband(a,", "b)" ], "end_col": 0, "end_row": 0, "id": 0, "start_col": 0, "start_row": 0, "tex": "$\\mathtt{\\forall a \\forall b \\forall c\\enspace father(a,c) \\wedge mother(b,c) \\Rightarrow husband(a,b)}$" }, { "content": [ "∀a∀b∀c", "daughter(a,", "c)", "∧", "son(b,", "c)", "⇒", "brother(b,", "a)" ], "end_col": 0, "end_row": 3, "id": 3, "start_col": 0, "start_row": 3, "tex": "$\\mathtt{\\forall a \\forall b \\forall c\\enspace daughter(a,c) \\wedge son(b,c) \\Rightarrow brother(b,a)}$" } ] }
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1409.8171v1.4_high_51126_high_80425
train
0.68984
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1505.02406v1.5_aug_high_8832_high_25074_high_46591_high_41124
train
0.627778
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1508.05056v2.1_high_55288_high_37836
train
0.617391
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1703.02156v1.1_aug_high_5844_high_68796_high_34738
train
0.794643
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1609.06018v1.1_aug_low_6926_high_38771
train
0.632857
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1412.2812v1.2_aug_high_8177_high_27800_high_78984_high_15605
train
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1205.6678v1.12_aug_high_6056_high_64664
train
0.784091
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1601.07140v2.1_high_45397_high_18507
train
0.627193
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1706.04034v3.7_aug_low_3007_high_44445
train
0.635185
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1806.00760v1.1_high_15047_high_24378_high_96253
train
0.718126
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1501.06587v1.4_aug_high_5121_high_70975_high_27672
train
0.785088
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1001.1445v2.1_high_12147
train
0.633838
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1807.11172v1.2_aug_high_6588_high_22212_high_13319
train
0.733333
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0803.2219v1.1_high_20708
train
0.6775
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1803.05265v1.5_high_42686
train
0.65
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1003.1291v1.5_high_29132_high_84368_high_78628
train
0.717346
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subcommanded" }, { "content": [ "kill", "the", "existing", "jobs", "from", "templates" ], "end_col": 1, "end_row": 5, "id": 11, "start_col": 1, "start_row": 5, "tex": "kill the existing jobs from templates" }, { "content": [ "WORKER", "FILE" ], "end_col": 0, "end_row": 25, "id": 43, "start_col": 0, "start_row": 25, "tex": "{\\tt WORKER\\_FILE}" }, { "content": [ "-d", "<all|[un]submitted|[un]finished|[un]successful|FROM-TO>" ], "end_col": 1, "end_row": 18, "id": 34, "start_col": 0, "start_row": 18, "tex": "\\tt -d <all|[un]submitted|[un]finished|[un]successful|FROM-TO>" }, { "content": [ "-v,", "--version" ], "end_col": 0, "end_row": 7, "id": 14, "start_col": 0, "start_row": 7, "tex": "{\\tt -v, --version}" }, { "content": [ "purge", "the", "existing", "jobs", "from", "templates" ], "end_col": 1, "end_row": 4, "id": 9, "start_col": 1, "start_row": 4, "tex": "purge the existing jobs from templates" }, { "content": [ "--config", "key=value" ], "end_col": 0, "end_row": 15, "id": 30, "start_col": 0, "start_row": 15, "tex": "{\\tt --config key=value}" }, { "content": [ "history" ], "end_col": 0, "end_row": 33, "id": 59, "start_col": 0, "start_row": 33, "tex": "{\\tt history}" }, { "content": [ "submit", "the", "jobs", "from", "templates" ], "end_col": 1, "end_row": 3, "id": 7, "start_col": 1, "start_row": 3, "tex": "submit the jobs from templates" }, { "content": [ "create", "templates" ], "end_col": 1, "end_row": 1, "id": 3, "start_col": 1, "start_row": 1, "tex": "create templates" }, { "content": [ "credits", "and", "license" ], "end_col": 1, "end_row": 8, "id": 17, "start_col": 1, "start_row": 8, "tex": "credits and license" }, { "content": [ "-k", "<all|[un]finished|[un]successful|FROM-TO>", "[--signal", "SIG]" ], "end_col": 1, "end_row": 21, "id": 37, "start_col": 0, "start_row": 21, "tex": "\\tt -k <all|[un]finished|[un]successful|FROM-TO> [--signal SIG]" }, { "content": [ "full", "historic", "information", "about", "each", "job" ], "end_col": 1, "end_row": 33, "id": 60, "start_col": 1, "start_row": 33, "tex": "full historic information about each job" }, { "content": [ "timely", "snapshots", "of", "job", "statuses" ], "end_col": 1, "end_row": 35, "id": 64, "start_col": 1, "start_row": 35, "tex": "timely snapshots of job statuses" }, { "content": [ "last", "status", "update", "for", "each", "job" ], "end_col": 1, "end_row": 34, "id": 62, "start_col": 1, "start_row": 34, "tex": "last status update for each job" }, { "content": [ "file", "with", "parameter", "description" ], "end_col": 1, "end_row": 24, "id": 42, "start_col": 1, "start_row": 24, "tex": "file with parameter description" }, { "content": [ "kill", "with", "signal", "passed", "to", "gwkill" ], "end_col": 1, "end_row": 32, "id": 58, "start_col": 1, "start_row": 32, "tex": "kill with signal passed to gwkill" }, { "content": [ "all" ], "end_col": 0, "end_row": 27, "id": 47, "start_col": 0, "start_row": 27, "tex": "{\\tt all}" }, { "content": [ "Description" ], "end_col": 1, "end_row": 10, "id": 21, "start_col": 1, "start_row": 10, "tex": "Description" }, { "content": [ "-i,", "--info" ], "end_col": 0, "end_row": 6, "id": 12, "start_col": 0, "start_row": 6, "tex": "{\\tt -i, --info}" }, { "content": [ "-p,", "--purge" ], "end_col": 0, "end_row": 4, "id": 8, "start_col": 0, "start_row": 4, "tex": "{\\tt -p, --purge}" } ] }
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1801.02753v2.1_high_37458
train
0.627193
{ "cells": [ { "content": [ "4.53" ], "end_col": 1, "end_row": 2, "id": 5, "start_col": 1, "start_row": 2, "tex": "4.53" }, { "content": [ "pix2pix,", "Augmented" ], "end_col": 0, "end_row": 2, "id": 4, "start_col": 0, "start_row": 2, "tex": "pix2pix, Augmented" }, { "content": [ "pix2pix,", "Sketchy", "only" ], "end_col": 0, "end_row": 1, "id": 2, "start_col": 0, "start_row": 1, "tex": "pix2pix, Sketchy only" }, { "content": [ "3.94" ], "end_col": 1, "end_row": 1, "id": 3, "start_col": 1, "start_row": 1, "tex": "3.94" }, { "content": [ "7.90" ], "end_col": 1, "end_row": 4, "id": 9, "start_col": 1, "start_row": 4, "tex": "\\textbf{7.90}" }, { "content": [ "15.46" ], "end_col": 1, "end_row": 5, "id": 11, "start_col": 1, "start_row": 5, "tex": "15.46" }, { "content": [ "Ours" ], "end_col": 0, "end_row": 4, "id": 8, "start_col": 0, "start_row": 4, "tex": "\\textbf{Ours}" }, { "content": [ "5.49" ], "end_col": 1, "end_row": 3, "id": 7, "start_col": 1, "start_row": 3, "tex": "5.49" }, { "content": [ "pix2pix,", "Augmented+Label" ], "end_col": 0, "end_row": 3, "id": 6, "start_col": 0, "start_row": 3, "tex": "pix2pix, Augmented+Label" }, { "content": [ "Model" ], "end_col": 0, "end_row": 0, "id": 0, "start_col": 0, "start_row": 0, "tex": "Model" }, { "content": [ "Inception", "Score" ], "end_col": 1, "end_row": 0, "id": 1, "start_col": 1, "start_row": 0, "tex": "Inception Score" }, { "content": [ "Real", "Image" ], "end_col": 0, "end_row": 5, "id": 10, "start_col": 0, "start_row": 5, "tex": "Real Image" } ] }
{ "cells": [ { "content": [ "pixZpix;", "Augmented+Label", "5.49" ], "end_col": 1, "end_row": 2, "id": 0, "start_col": 0, "start_row": 2, "tex": "" }, { "content": [ "pix2pix;", "Augmented", "4.53" ], "end_col": 1, "end_row": 1, "id": 1, "start_col": 1, "start_row": 0, "tex": "" }, { "content": [ "pix2pix;", "Sketchy", "only", "pix2pix;", "Augmented", "pixZpix;", "Augmented+Label", "Ours" ], "end_col": 0, "end_row": 3, "id": 2, "start_col": 0, "start_row": 0, "tex": "" }, { "content": [ "pix2pix;", "Sketchy", "only", "3.94" ], "end_col": 1, "end_row": 0, "id": 3, "start_col": 1, "start_row": 0, "tex": "" }, { "content": [ "3.94", "4.53", "5.49", "7.90" ], "end_col": 1, "end_row": 3, "id": 4, "start_col": 1, "start_row": 0, "tex": "" }, { "content": [ "Ours", "7.90" ], "end_col": 1, "end_row": 3, "id": 5, "start_col": 0, "start_row": 3, "tex": "" }, { "content": [ "pix2pix;", "Sketchy", "only", "3.94", "pix2pix;", "Augmented", "4.53", "pixZpix;", "Augmented+Label", "5.49", "Ours", "7.90" ], "end_col": 1, "end_row": 3, "id": 6, "start_col": 0, "start_row": 0, "tex": "" } ] }
1608.08396v2.4_high_58491_high_41983
train
0.657407
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0811.0741v1.2_aug_low_8703_high_88836_high_60498
train
0.638009
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1506.04265v1.1_aug_high_7055_high_65226_high_89481
train
0.768056
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1508.00784v1.4_aug_high_6466_high_73587
train
0.732639
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0307076v1.1_aug_high_5800_high_57944
train
0.7625
{ "cells": [ { "content": [ "Θ(n)" ], "end_col": 1, "end_row": 1, "id": 4, "start_col": 1, "start_row": 1, "tex": "$\\Theta(n)$" }, { "content": [ "O(n1/5.25)" ], "end_col": 1, "end_row": 3, "id": 10, "start_col": 1, "start_row": 3, "tex": "$O(n^{1/5.25})$" }, { "content": [ "O(n1/11)" ], "end_col": 2, "end_row": 4, "id": 14, "start_col": 2, "start_row": 4, "tex": "$O(n^{1/11})$" }, { "content": [ "PIR", "complexity" ], "end_col": 1, "end_row": 0, "id": 1, "start_col": 1, "start_row": 0, "tex": "PIR complexity" }, { "content": [ "k", "=", "1" ], "end_col": 0, "end_row": 1, "id": 3, "start_col": 0, "start_row": 1, "tex": "$k=1$" }, { "content": [ "O(n1/3)" ], "end_col": 1, "end_row": 2, "id": 7, "start_col": 1, "start_row": 2, "tex": "$O(n^{1/3})$" }, { "content": [ "O(n1/7)" ], "end_col": 2, "end_row": 3, "id": 11, "start_col": 2, "start_row": 3, "tex": "$O(n^{1/7})$" }, { "content": [ "QPIR", "complexity" ], "end_col": 2, "end_row": 0, "id": 2, "start_col": 2, "start_row": 0, "tex": "QPIR complexity" }, { "content": [ "O(n1/7.87)" ], "end_col": 1, "end_row": 4, "id": 13, "start_col": 1, "start_row": 4, "tex": "$O(n^{1/7.87})$" }, { "content": [ "O(n3/10)" ], "end_col": 2, "end_row": 2, "id": 8, "start_col": 2, "start_row": 2, "tex": "$O(n^{3/10})$" }, { "content": [ "k", "=", "4" ], "end_col": 0, "end_row": 4, "id": 12, "start_col": 0, "start_row": 4, "tex": "$k=4$" }, { "content": [ "k", "=", "2" ], "end_col": 0, "end_row": 2, "id": 6, "start_col": 0, "start_row": 2, "tex": "$k=2$" }, { "content": [ "k", "=", "3" ], "end_col": 0, "end_row": 3, "id": 9, "start_col": 0, "start_row": 3, "tex": "$k=3$" }, { "content": [ "Θ(n)" ], "end_col": 2, "end_row": 1, "id": 5, "start_col": 2, "start_row": 1, "tex": "$\\Theta(n)$" }, { "content": [ "Servers" ], "end_col": 0, "end_row": 0, "id": 0, "start_col": 0, "start_row": 0, "tex": "Servers" } ] }
{ "cells": [ { "content": [ "Θ(n)" ], "end_col": 1, "end_row": 1, "id": 4, "start_col": 0, "start_row": 0, "tex": "$\\Theta(n)$" }, { "content": [ "O(n1/5.25)" ], "end_col": 1, "end_row": 3, "id": 10, "start_col": 1, "start_row": 3, "tex": "$O(n^{1/5.25})$" }, { "content": [ "O(n1/11)" ], "end_col": 2, "end_row": 4, "id": 14, "start_col": 2, "start_row": 4, "tex": "$O(n^{1/11})$" }, { "content": [ "PIR", "complexity" ], "end_col": 1, "end_row": 0, "id": 1, "start_col": 1, "start_row": 0, "tex": "PIR complexity" }, { "content": [ "k", "=", "1" ], "end_col": 0, "end_row": 1, "id": 3, "start_col": 0, "start_row": 1, "tex": "$k=1$" }, { "content": [ "O(n1/3)" ], "end_col": 1, "end_row": 2, "id": 7, "start_col": 1, "start_row": 2, "tex": "$O(n^{1/3})$" }, { "content": [ "O(n1/7)" ], "end_col": 2, "end_row": 3, "id": 11, "start_col": 2, "start_row": 3, "tex": "$O(n^{1/7})$" }, { "content": [ "QPIR", "complexity" ], "end_col": 2, "end_row": 0, "id": 2, "start_col": 2, "start_row": 0, "tex": "QPIR complexity" }, { "content": [ "O(n1/7.87)" ], "end_col": 2, "end_row": 3, "id": 13, "start_col": 2, "start_row": 3, "tex": "$O(n^{1/7.87})$" }, { "content": [ "O(n3/10)" ], "end_col": 3, "end_row": 3, "id": 8, "start_col": 2, "start_row": 3, "tex": "$O(n^{3/10})$" }, { "content": [ "k", "=", "4" ], "end_col": 1, "end_row": 5, "id": 12, "start_col": 0, "start_row": 5, "tex": "$k=4$" }, { "content": [ "k", "=", "2" ], "end_col": 0, "end_row": 2, "id": 6, "start_col": 0, "start_row": 2, "tex": "$k=2$" }, { "content": [ "k", "=", "3" ], "end_col": 0, "end_row": 3, "id": 9, "start_col": 0, "start_row": 3, "tex": "$k=3$" }, { "content": [ "Θ(n)" ], "end_col": 2, "end_row": 1, "id": 5, "start_col": 2, "start_row": 1, "tex": "$\\Theta(n)$" }, { "content": [ "Servers" ], "end_col": 0, "end_row": 0, "id": 0, "start_col": 0, "start_row": 0, "tex": "Servers" } ] }
1712.01657v1.2_aug_high_4204_high_54936_high_57663
train
0.775
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1709.02783v1.2_aug_high_7067_high_70238_high_82212_high_14812
train
0.716667
{ "cells": [ { "content": [ "P(Harmony=Y|Frequent)" ], "end_col": 0, "end_row": 2, "id": 4, "start_col": 0, "start_row": 2, "tex": "P($\\texttt{Harmony=Y}|$Frequent)" }, { "content": [ "P(Harmony=Y|Very", "Frequent)" ], "end_col": 0, "end_row": 1, "id": 2, "start_col": 0, "start_row": 1, "tex": "P($\\texttt{Harmony=Y}|$Very Frequent)" }, { "content": [ "P(Harmony=Y|None)" ], "end_col": 0, "end_row": 4, "id": 8, "start_col": 0, "start_row": 4, "tex": "P($\\texttt{Harmony=Y}|$None)" }, { "content": [ "=", "0.16" ], "end_col": 1, "end_row": 2, "id": 5, "start_col": 1, "start_row": 2, "tex": "= 0.16" }, { "content": [ "Value" ], "end_col": 1, "end_row": 0, "id": 1, "start_col": 1, "start_row": 0, "tex": "Value" }, { "content": [ "=", "0.55" ], "end_col": 1, "end_row": 4, "id": 9, "start_col": 1, "start_row": 4, "tex": "= 0.55" }, { "content": [ "=", "0.99" ], "end_col": 1, "end_row": 1, "id": 3, "start_col": 1, "start_row": 1, "tex": "= 0.99" }, { "content": [ "Probability" ], "end_col": 0, "end_row": 0, "id": 0, "start_col": 0, "start_row": 0, "tex": "Probability" }, { "content": [ "P(Harmony=Y|Rare)" ], "end_col": 0, "end_row": 3, "id": 6, "start_col": 0, "start_row": 3, "tex": "P($\\texttt{Harmony=Y}|$Rare)" }, { "content": [ "=", "0.51" ], "end_col": 1, "end_row": 3, "id": 7, "start_col": 1, "start_row": 3, "tex": "= 0.51" } ] }
{ "cells": [ { "content": [ "P(Harmony=Y|Frequent)" ], "end_col": 1, "end_row": 4, "id": 4, "start_col": 1, "start_row": 3, "tex": "P($\\texttt{Harmony=Y}|$Frequent)" }, { "content": [ "P(Harmony=Y|Very", "Frequent)" ], "end_col": 0, "end_row": 2, "id": 2, "start_col": 0, "start_row": 0, "tex": "P($\\texttt{Harmony=Y}|$Very Frequent)" }, { "content": [ "P(Harmony=Y|None)" ], "end_col": 0, "end_row": 4, "id": 8, "start_col": 0, "start_row": 4, "tex": "P($\\texttt{Harmony=Y}|$None)" }, { "content": [ "=", "0.16" ], "end_col": 0, "end_row": 3, "id": 5, "start_col": 0, "start_row": 3, "tex": "= 0.16" }, { "content": [ "Value" ], "end_col": 1, "end_row": 0, "id": 1, "start_col": 1, "start_row": 0, "tex": "Value" }, { "content": [ "=", "0.55" ], "end_col": 1, "end_row": 4, "id": 9, "start_col": 2, "start_row": 3, "tex": "= 0.55" }, { "content": [ "=", "0.99" ], "end_col": 2, "end_row": 2, "id": 3, "start_col": 1, "start_row": 0, "tex": "= 0.99" }, { "content": [ "Probability" ], "end_col": 0, "end_row": 0, "id": 0, "start_col": 0, "start_row": 0, "tex": "Probability" }, { "content": [ "P(Harmony=Y|Rare)" ], "end_col": 0, "end_row": 3, "id": 6, "start_col": 0, "start_row": 3, "tex": "P($\\texttt{Harmony=Y}|$Rare)" }, { "content": [ "=", "0.51" ], "end_col": 1, "end_row": 3, "id": 7, "start_col": 1, "start_row": 3, "tex": "= 0.51" } ] }
1205.4973v3.1_aug_high_5149_high_49156_high_78997_high_78038
train
0.783333
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1610.05009v1.3_aug_low_1328_high_61688_high_59932
train
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1711.00715v1.5_aug_high_7129_high_17271_high_10263
train
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1101.1118v4.14_high_77250
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0808.0103v2.1_high_15737_high_95064
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1803.10952v3.3_aug_high_7433_high_77894
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1409.8309v1.2_aug_high_7159_high_89177_high_51600_high_31758
train
0.660606
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1509.06004v2.5_aug_high_1180_high_97270_high_74930
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0612612v2.2_high_14704
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1711.07661v1.2_aug_high_1738_high_84693_high_49936
train
0.720833
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1803.01557v2.4_high_67604_high_41032
train
0.643939
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1712.00202v1.4_aug_high_3351_high_94070_high_57549
train
0.799569
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1211.2081v1.3_high_18166_high_85209_high_32396
train
0.69375
{ "cells": [ { "content": [ "perform", "the", "following", "three", "stages:" ], "end_col": 0, "end_row": 5, "id": 5, "start_col": 0, "start_row": 5, "tex": "\\quad perform the following three stages:" }, { "content": [ "with", "the", "highest", "service", "rate", "given", "by", "(??)." ], "end_col": 0, "end_row": 15, "id": 15, "start_col": 0, "start_row": 15, "tex": "\\quad \\quad with the highest service rate given by (\\ref{serviceRateExpression})." }, { "content": [ "Stage", "II:", "Coalition", "Formation" ], "end_col": 0, "end_row": 9, "id": 9, "start_col": 0, "start_row": 9, "tex": "\\quad \\emph{Stage \\uppercase\\expandafter{\\romannumeral2}: Coalition Formation}" }, { "content": [ "Period", "I:", "V2R", "Phase" ], "end_col": 0, "end_row": 0, "id": 0, "start_col": 0, "start_row": 0, "tex": "\\textbf{Period \\uppercase\\expandafter{\\romannumeral1}: V2R Phase}" }, { "content": [ "and", "the", "OBUs", "in", "Ω", "keep", "receiving", "data", "from", "the", "RSU", "when", "they", "pass", "through." ], "end_col": 0, "end_row": 2, "id": 2, "start_col": 0, "start_row": 2, "tex": "\\quad and the OBUs in $\\Omega$ keep receiving data from the RSU when they pass through." }, { "content": [ "The", "OBUs", "perform", "the", "splitting", "scheme", "in", "Table", "??", "every", "K", "slots,", "and", "the", "network" ], "end_col": 0, "end_row": 7, "id": 7, "start_col": 0, "start_row": 7, "tex": "\\quad \\quad The OBUs perform the splitting scheme in Table \\ref{split} every $K$ slots, and the network" }, { "content": [ "Stage", "III:", "Data", "Broadcasting" ], "end_col": 0, "end_row": 12, "id": 12, "start_col": 0, "start_row": 12, "tex": "\\quad \\emph{Stage \\uppercase\\expandafter{\\romannumeral3}: Data Broadcasting}" }, { "content": [ "For", "each", "subnetwork,", "the", "OBUs", "perform", "the", "coalition", "formation", "algorithm", "in", "Table" ], "end_col": 0, "end_row": 10, "id": 10, "start_col": 0, "start_row": 10, "tex": "\\quad \\quad For each subnetwork, the OBUs perform the coalition formation algorithm in Table" }, { "content": [ "The", "RSU", "periodically", "broadcasts", "the", "packets", "of", "popular", "file", "Γ", "=", "{γ0,", ".", ".", ".", ",", "γM−1}," ], "end_col": 0, "end_row": 1, "id": 1, "start_col": 0, "start_row": 1, "tex": "\\quad The RSU periodically broadcasts the packets of popular file $\\Gamma = \\{\\gamma_0,\\ldots,\\gamma_{M-1}\\}$," }, { "content": [ "Period", "II:", "V2V", "Phase" ], "end_col": 0, "end_row": 3, "id": 3, "start_col": 0, "start_row": 3, "tex": "\\textbf{Period \\uppercase\\expandafter{\\romannumeral2}: V2V Phase}" }, { "content": [ "??", "to", "obtain", "the", "final", "partition", "Πf", "inal", "in", "the", "current", "slot." ], "end_col": 0, "end_row": 11, "id": 11, "start_col": 0, "start_row": 11, "tex": "\\quad \\quad \\ref{coalitionFormationAlgorithm} to obtain the final partition $\\Pi_{final}$ in the current slot." }, { "content": [ "For", "each", "subnetwork,", "the", "OBUs", "in", "coalition", "S", "broadcast", "the", "packets", "resulting" ], "end_col": 0, "end_row": 13, "id": 13, "start_col": 0, "start_row": 13, "tex": "\\quad \\quad For each subnetwork, the OBUs in coalition $S$ broadcast the packets resulting" }, { "content": [ "With", "the", "initially", "possessed", "packets", "given", "by", "(??)", "and", "(??),", "the", "OBUs", "periodically" ], "end_col": 0, "end_row": 4, "id": 4, "start_col": 0, "start_row": 4, "tex": "\\quad With the initially possessed packets given by (\\ref{initialSegmentNumber}) and (\\ref{firstReceivedIndex}), the OBUs periodically" }, { "content": [ "may", "split", "into", "smaller", "subnetworks." ], "end_col": 0, "end_row": 8, "id": 8, "start_col": 0, "start_row": 8, "tex": "\\quad \\quad may split into smaller subnetworks." }, { "content": [ "Stage", "I:", "Network", "Splitting" ], "end_col": 0, "end_row": 6, "id": 6, "start_col": 0, "start_row": 6, "tex": "\\quad \\emph{Stage \\uppercase\\expandafter{\\romannumeral1}: Network Splitting}" }, { "content": [ "from", "the", "greedy", "algorithm", "proposed", "in", "Section", "III,", "where", "S", "∈", "Πf", "inal", "is", "the", "coalition" ], "end_col": 0, "end_row": 14, "id": 14, "start_col": 0, "start_row": 14, "tex": "\\quad \\quad from the greedy algorithm proposed in Section \\uppercase\\expandafter{\\romannumeral3}, where $S \\in \\Pi_{final}$ is the coalition" } ] }
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1804.04003v1.2_aug_high_8771_high_85556_high_97456_high_16908
train
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1801.01198v1.2_aug_high_1599_high_21865
train
0.783333
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1607.06290v1.5_high_96203_high_29472
train
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1208.5554v1.1_high_12371_high_26831
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1311.7235v1.1_aug_high_5184_high_52046_high_83629
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1804.00586v1.1_aug_high_7621_high_49589
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1606.00210v1.4_aug_low_2453_high_96367_high_12931
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1510.04004v1.1_high_20765_high_74973_high_53980
train
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1507.02456v2.1_high_77435_high_21187
train
0.65
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1710.10609v1.1_aug_low_6610_high_47884_high_85528
train
0.629808
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1404.6604v1.1_aug_high_7827_high_14690_high_58534
train
0.784091
{ "cells": [ { "content": [ "property", "equal_transitive", ":", "all", "x", "y", "z", ":", "Self,", "equal(x,y)", "->", "equal(y,z)", "->", "equal(x,z);}" ], "end_col": 0, "end_row": 6, "id": 6, "start_col": 0, "start_row": 6, "tex": "{\\verb+ property equal_transitive : all x y z : Self, equal(x,y) -> equal(y,z) -> equal(x,z);}+}" }, { "content": [ "let", "different", "(x,", "y)", "=", "not", "(equal(x,y));" ], "end_col": 0, "end_row": 7, "id": 7, "start_col": 0, "start_row": 7, "tex": "{\\verb+ let different (x, y) = not (equal(x,y));+}" }, { "content": [ "signature", "equal", ":", "Self", "->", "Self", "->", "bool;" ], "end_col": 0, "end_row": 3, "id": 3, "start_col": 0, "start_row": 3, "tex": "{\\verb+ signature equal : Self -> Self -> bool;+}" }, { "content": [ "property", "equal_reflexive", ":", "all", "x", ":", "Self,", "equal(x,x);" ], "end_col": 0, "end_row": 4, "id": 4, "start_col": 0, "start_row": 4, "tex": "{\\verb+ property equal_reflexive : all x : Self, equal(x,x);+}" }, { "content": [ "property", "equal_symmetric", ":", "all", "x", "y", ":", "Self,", "equal(x,y)", "->", "equal(y,x);" ], "end_col": 0, "end_row": 5, "id": 5, "start_col": 0, "start_row": 5, "tex": "{\\verb+ property equal_symmetric : all x y : Self, equal(x,y) -> equal(y,x);+}" }, { "content": [ "end;;" ], "end_col": 0, "end_row": 10, "id": 10, "start_col": 0, "start_row": 10, "tex": "{\\verb+end;;+}" }, { "content": [ "proof", "=", "by", "definition", "of", "different;" ], "end_col": 0, "end_row": 9, "id": 9, "start_col": 0, "start_row": 9, "tex": "{\\verb+ proof = by definition of different;+}" }, { "content": [ "species", "Setoid", "=" ], "end_col": 0, "end_row": 0, "id": 0, "start_col": 0, "start_row": 0, "tex": "{\\verb+species Setoid =+}" }, { "content": [ "inherit", "Basic_object;" ], "end_col": 0, "end_row": 1, "id": 1, "start_col": 0, "start_row": 1, "tex": "{\\verb+ inherit Basic_object;+}" }, { "content": [ "theorem", "same_is_not_different", ":", "all", "x", "y", ":", "Self,", "different(x,y)", "<->", "not", "(equal(x,y))" ], "end_col": 0, "end_row": 8, "id": 8, "start_col": 0, "start_row": 8, "tex": "{\\verb+ theorem same_is_not_different : all x y : Self, different(x,y) <-> not (equal(x,y))+}" }, { "content": [ "signature", "element", ":", "Self;" ], "end_col": 0, "end_row": 2, "id": 2, "start_col": 0, "start_row": 2, "tex": "{\\verb+ signature element : Self;+}" } ] }
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1712.01657v1.2_aug_high_4204_high_13900_high_38208_high_12276
train
0.766667
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1806.04616v1.4_aug_high_8398_high_80054_high_78965
train
0.787037
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1709.06317v1.1_aug_high_6439_high_45098
train
0.7625
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0906.1182v1.1_high_24231_high_18565_high_66390
train
0.625
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0902.1037v2.8_aug_low_9153_high_43778_high_55634
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1612.06435v1.2_high_37509_high_45275_high_10267
train
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1805.08493v1.3_high_75613_high_85523
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1507.07605v2.6_high_25349
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1708.08000v1.4_aug_low_1278_high_33185_high_51838
train
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1107.3197v1.1_high_35748_high_73218
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1608.06037v7.8_high_94279_high_49243
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1301.6899v1.6_high_66966_high_79169_high_57339
train
0.6375
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0509069v3.1_aug_high_1193_high_88013_high_31670
train
0.7625
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1806.00340v1.1_high_14039_high_71160_high_28152
train
0.608974
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1610.00024v1.7_high_95738_high_33401_high_23074
train
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1709.04108v1.2_high_25630
train
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1307.1584v1.3_aug_high_1362_high_14835_high_18673
train
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1509.06094v1.1_high_25253_high_64336_high_95894
train
0.655844
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1802.06488v1.2_high_74748
train
0.613445
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1401.4107v1.3_aug_high_9963_high_87405_high_75647
train
0.780952
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1604.00147v1.4_aug_high_8693_high_13943_high_67050_high_51666
train
0.761364
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1105.0728v2.2_aug_high_1105_high_17403
train
0.766667
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1606.08425v3.8_aug_high_6294_high_14358_high_68331_high_41479
train
0.774123
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1705.10586v1.2_aug_high_7866_high_60381_high_26222
train
0.775
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1711.06632v2.1_high_61773_high_32632
train
0.634058
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1611.04474v1.1_high_36929_high_83602
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1102.5152v1.1_aug_high_7388_high_33843_high_82440
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1608.05839v1.2_aug_high_9156_high_19428_high_70040
train
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1501.00802v1.2_high_42089_high_23842
train
0.65
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1709.01620v1.3_aug_low_3665_high_11193
train
0.618357
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1508.04596v1.3_aug_high_9406_high_10618_high_97730
train
0.778804
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1402.7190v1.2_aug_high_3606_high_12884_high_88887
train
0.771021
{ "cells": [ { "content": [ "record", "criteria." ], "end_col": 0, "end_row": 20, "id": 20, "start_col": 0, "start_row": 20, "tex": "\\indent\\hspace{.1in} record criteria." }, { "content": [ "RDF", "<", "Ri,", "Relj,", "V", "alj", ">", "=", "form", "RDF" ], "end_col": 0, "end_row": 25, "id": 25, "start_col": 0, "start_row": 25, "tex": "\\indent\\hspace{.1in}$RDF < R_i, Rel_j, Val_j > $ = form RDF" }, { "content": [ "triple", "with", "subject", "as", "record", "identifier", "," ], "end_col": 0, "end_row": 26, "id": 26, "start_col": 0, "start_row": 26, "tex": "\\indent\\hspace{.1in}triple with subject as record identifier ," }, { "content": [ "do" ], "end_col": 0, "end_row": 17, "id": 17, "start_col": 0, "start_row": 17, "tex": "{\\bf do}" }, { "content": [ "done" ], "end_col": 0, "end_row": 35, "id": 35, "start_col": 0, "start_row": 35, "tex": "{\\bf done}" }, { "content": [ "5.", "Repeat", "the", "above", "process", "i.e.,", "step", "4" ], "end_col": 0, "end_row": 33, "id": 33, "start_col": 0, "start_row": 33, "tex": "5. 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Xa ; $Alice$ partitioned data" }, { "content": [ "which", "the", "original", "data", "is", "generalized" ], "end_col": 0, "end_row": 6, "id": 6, "start_col": 0, "start_row": 6, "tex": "\\indent\\hspace{.1in} which the original data is generalized" }, { "content": [ "1.", "Ontology", "mod", ";", "common", "Ontology" ], "end_col": 0, "end_row": 1, "id": 1, "start_col": 0, "start_row": 1, "tex": "1. Ontology\\_mod ; common Ontology" }, { "content": [ "jth", "attribute", "depending", "on", "the" ], "end_col": 0, "end_row": 19, "id": 19, "start_col": 0, "start_row": 19, "tex": "\\indent\\hspace{.1in} $j^{th}$ attribute depending on the" }, { "content": [ "object", "as", "V", "alj", "and", "Relj", "as", "predicate" ], "end_col": 0, "end_row": 27, "id": 27, "start_col": 0, "start_row": 27, "tex": "\\indent\\hspace{.1in}object as $Val_j$ and $Rel_j$ as predicate" }, { "content": [ "generalize", "the", "value", "using", "disguising", "factor." ], "end_col": 0, "end_row": 24, "id": 24, "start_col": 0, "start_row": 24, "tex": "\\indent\\hspace{.1in}generalize the value using disguising factor." }, { "content": [ "model", "used", "by", "all", "parties" ], "end_col": 0, "end_row": 2, "id": 2, "start_col": 0, "start_row": 2, "tex": "\\indent\\hspace{.1in}model used by all parties" }, { "content": [ "and", "Object.", "RDF", "M", "od", "=", "RDF", "M", "od∩" ], "end_col": 0, "end_row": 29, "id": 29, "start_col": 0, "start_row": 29, "tex": "\\indent\\hspace{.1in}and Object. $RDF\\_Mod=RDF\\_Mod \\cap $" }, { "content": [ "3.", "Xb", ";", "Bob", "partitioned", "data" ], "end_col": 0, "end_row": 4, "id": 4, "start_col": 0, "start_row": 4, "tex": "3. Xb ; $Bob$ partitioned data" }, { "content": [ "Input:" ], "end_col": 0, "end_row": 0, "id": 0, "start_col": 0, "start_row": 0, "tex": "{\\bf Input:}" }, { "content": [ "1.", "RDF", "A", ";Alice", "Department", "RDF", "for", "Bob" ], "end_col": 0, "end_row": 8, "id": 8, "start_col": 0, "start_row": 8, "tex": "1. RDF\\_A ;$Alice$ Department RDF for $Bob$" }, { "content": [ "1.", "data", "set=Xa;" ], "end_col": 0, "end_row": 11, "id": 11, "start_col": 0, "start_row": 11, "tex": "1. data\\_set=Xa;" }, { "content": [ "3.", "RDF", "Mod=RDF", "A" ], "end_col": 0, "end_row": 14, "id": 14, "start_col": 0, "start_row": 14, "tex": "3. RDF\\_Mod=RDF\\_A" }, { "content": [ "max", "attrj", "=", "get", "the", "max", "value", "of" ], "end_col": 0, "end_row": 18, "id": 18, "start_col": 0, "start_row": 18, "tex": "\\indent\\hspace{.1in}$max\\_attr_j$ = get the max value of" }, { "content": [ "done" ], "end_col": 0, "end_row": 31, "id": 31, "start_col": 0, "start_row": 31, "tex": "{\\bf done}" }, { "content": [ "and", "first", "element", "is", "always", "record", "identifier." ], "end_col": 0, "end_row": 13, "id": 13, "start_col": 0, "start_row": 13, "tex": "\\indent\\hspace{.1in} and first element is always record identifier." }, { "content": [ "4.", "df", ";", "Disguising", "factor", "is", "a", "factor", "by" ], "end_col": 0, "end_row": 5, "id": 5, "start_col": 0, "start_row": 5, "tex": "4. df ; Disguising factor is a factor by" }, { "content": [ "Relj", "=", "find", "the", "relation", "from" ], "end_col": 0, "end_row": 21, "id": 21, "start_col": 0, "start_row": 21, "tex": "\\indent\\hspace{.1in} $Rel_j$ = find the relation from" }, { "content": [ "Process:" ], "end_col": 0, "end_row": 10, "id": 10, "start_col": 0, "start_row": 10, "tex": "{\\bf Process:}" }, { "content": [ "R", "i=", "data", "set{", "0", "};" ], "end_col": 0, "end_row": 16, "id": 16, "start_col": 0, "start_row": 16, "tex": "\\indent\\hspace{.1in} R\\_i= data\\_set\\{ 0 \\};" } ] }
{ "cells": [ { "content": [ "record", "criteria." ], "end_col": 0, "end_row": 20, "id": 20, "start_col": 0, "start_row": 20, "tex": "\\indent\\hspace{.1in} record criteria." }, { "content": [ "RDF", "<", "Ri,", "Relj,", "V", "alj", ">", "=", "form", "RDF" ], "end_col": 0, "end_row": 25, "id": 25, "start_col": 0, "start_row": 25, "tex": "\\indent\\hspace{.1in}$RDF < R_i, Rel_j, Val_j > $ = form RDF" }, { "content": [ "triple", "with", "subject", "as", "record", "identifier", "," ], "end_col": 0, "end_row": 26, "id": 26, "start_col": 0, "start_row": 26, "tex": "\\indent\\hspace{.1in}triple with subject as record identifier ," }, { "content": [ "do" ], "end_col": 1, "end_row": 18, "id": 17, "start_col": 1, "start_row": 17, "tex": "{\\bf do}" }, { "content": [ "done" ], "end_col": 0, "end_row": 36, "id": 35, "start_col": 0, "start_row": 35, "tex": "{\\bf done}" }, { "content": [ "5.", "Repeat", "the", "above", "process", "i.e.,", "step", "4" ], "end_col": 0, "end_row": 33, "id": 33, "start_col": 0, "start_row": 33, "tex": "5. Repeat the above process $i.e.,$ step 4" }, { "content": [ "2.", "RDF", "B", ";Bob", "department", "RDF", "for", "Alice" ], "end_col": 0, "end_row": 9, "id": 9, "start_col": 0, "start_row": 9, "tex": "2. 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1703.09258v2.1_high_32686_high_43106
train
0.608225
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1801.06879v1.4_high_67919_high_68323
train
0.605392
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1601.05893v1.5_high_85227_high_15857
train
0.655844
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1010.3312v1.1_high_54477_high_49199
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1509.00910v1.1_aug_high_3495_high_20292_high_11378
train
0.784091
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