DEIM Forum 2014 A8-1, 606 8501 E-mail: {tsukuda,ohshima,kato,tanaka}@dl.kuis.kyoto-u.ac.jp 1 2,, 1. Google 1 Yahoo 2 Bing 3 Web Web BM25 [1] HITS [2] PageRank [3] Web 1 [4] 1http://www.google.com 2http://www.yahoo.com 3http://www.bing.com 4 4 5 5 O = {t o1, t o2,, t on } O t a O t a t oi O t a

[5] [6] [7] [8] [9] [10] [11] 5 25 2. 3. 4. 5. 6. 7. 2. 2. 1 [12] [13] [14] [15]Noda [15] Wikipedia 4 (Wikipedia 1 2) 3 Wikipedia 2 1 Wikipedia Nadamoto [14] SNS 1 Wikipedia Wikipedia Liu [12] 2 Web 4http://ja.wikipedia.org/ Web Web Web Mejova [13] 1 2. 2 WebJaccard WebDiceWebOverlap NGDWWebPMI Web Bollegala [6] 2 [7] 1 Web 1 [8] Wikipedia [9] [10] [11]Strube [9] Wikipedia 2 2 Gabrilovich [10] Wikipedia Milne [11] 2 Wikipedia Wikipedia Wikipedia Wikipedia 2 Milne Strube Gabrilovich Gabrilovich 3. (t 1, t 2) t 1 t 2 c c T c = {t o1, t o2,, t on, } t a t oi T c t a t oi T c c T c t a t oi T c t a 1.

3. 1 1 3. 2 2 4. 3. 2 4. 1 4. 2 4. 3 4. 4 4. 1 3 4. 1. 1 WLM 1 Milne [11] t 1 t 2 Wikipedia t 1 t 2 t 1 t 2 TF-IDF s t s t ( ) W w(s t) = log if s B t, 0 otherwise. (1) B t B t t W Wikipedia t 1 t 2 1 s t 1 t 2 t 1 t 2 F t1 F t2 t F t1 F t2 t 1 t 2 sim forward (t 1, t 2) t 1 t 2 sim backward (t 1, t 2 ) = log (max ( B t 1, B t2 )) log ( B t1 B t2 ). log ( W ) log (min ( B t1, B t2 )) (2) 2 t 1 t 2 wlm(t 1, t 2 ) wlm(t 1, t 2) = 1 2 sim forward(t 1, t 2) + 1 2 sim backward(t 1, t 2). 4. 1. 2 WebPMI (3) 2 Web 2 WebPMI [6] [5] WebPMI t 1 t 2 0 if hit(t 1, t 2 ) < = c web pmi(t 1, t 2 ) = ( ) hit(t log 1 t 2 )/N 2 otherwise. (hit(t 1 )/N) (hit(t 2 )/N) hit(t) t Web Clue Web 09 5 Bollegala [6] c = 5 N Web Clue Web 09 5http://lemurproject.org/clueweb09/ (4)

N = 67, 337, 717 WebJaccard WebDiceWebOverlap NGD WebPMI [5], [6] 4. 1. 3 Noda 3 Web 2 [16] t 1 t 2 noda(t 1, t 2 ) = hit(t1 t2)2 hit(t 1 ) hit(t 2 ). (5) WebPMI 2 4. 2 3. 1 1 t oi t a rel pop(t oi, t a ) rel pop(t oi, t a ) = rel(t oi, t a ) pop(t oi ) (6) rel(t oi, t a) 4. 1 pop(t oi ) Wikipedia t oi t oi Wikipedia [17] 4. 3 4. 3. 1 t oi t oi [18] [19] ALAGIN 6 Wikipedia 20 245 t oi t oi 1 HITS [2] t oi t oi t oj coordinate(t oi, t oj ) 4. 3. 2 3. 2 2 6https://alaginrc.nict.go.jp/hyponymy/index.html biased PageRank [20] biased PageRank biased PageRank 1 2 1 2 2 2 Biased PageRank T c = {t o1, t o2,, t on } (i, j) coordinate(t oj, t oi ) n 1 (i, j) a i,j a i,j = coordinate(t oj, t oi ) t ok T c coordinate(t oj, t ok ). (7) t oi t a rel crd(t oi, t a) rel crd l+1 (t oi, t a ) =α 1< = j< = n + (1 α) a i,j rel crd l (t oi, t a ) rel(t oi, t a ) t oj T c rel(t oj, t a). 8 1 2 biased PageRank 12α 0 < = α < = 1 α α (8) 4. 4 t oi t a biased PageRank 4. 2 rel pop crd l+1 (t oi, t a ) =α 5. 1< = j< = n + (1 α) a i,j rel pop crd l (t oi, t a ) rel pop (t oi, t a ) t oj T c rel pop(t oj, t a). (9) 2 1

1 169 117 C 155 481 157 MVP 2 40 39 13 30 32 2 5. 1 5 5 4. 1. 1 WLM 4. 3. 1 Wikipedia 1 Wikipedia 2008 6 24 Wikipedia 1 W 1, 342, 098 5. 2 4. 7 Wikipedia 40 1 10 10 5 5 2 1 2 7http://www.lancers.jp/ 1 Web 1 1 20 20 5. 3 4. 1 3 WLM WebPMI Noda 4. 2 WLM+pop WebPMI+pop Noda+pop 4. 3 WLM+BPR WebPMI+BPR Noda+BPR 4. 4 WLM+pop+BPR WebPMI+pop+BPR Noda+pop+BPR Biased PageRank 89 0.1 0.9 0.1 5. 2 5. 4 5. 3 2

2 α ****** original 10%5%1% pop pop+bpr BPR pop+bpr 3 Biased PageRank original WLM WebPMI Noda Biased PageRank WLM WebPMI Noda 2 pop 2 BPR 3. 1 2 WLM Noda 2 pop+bpr 1 biased PageRank 6

3 Noda Noda+BPR α = 0.9 1 1 1 2 2 2 3 7 3 4 3 4 5 6 6 6-13 7-8 8 8 10 9 - - 10 13 17 0.457 0.698 4 WebPMI WebPMI+pop+BPR α = 0.9 1 9 1 2 8 3 3 4 4 4 2 2 5 5 5 6 6 10 7-7 8 5 6 9 3 11 10 1 9 0.400 0.714 3 3 3 Noda Noda+BPR α = 0.9 10 - Noda 10 Noda Noda+BPR 17 26 4 4 5 1 { } 55 { } 3 { } 136 { } 1 { } 28 { } 1 { } 190 { } WebPMI WebPMI+pop+BPR α = 0.9 10 5 5 Bollegala [6] Gabrilovich [10] 6. 6. 1 c m t a c m t a c m O m = {o 1, o 2,, o m} t a unexp(c, O m, t a) = (1 rel pop cred(o i, t a)) (10) o i O m m = 2 rel pop cred(o i, t a) 5. Noda+pop+BPR 0.5 5 5

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