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and predict the rankings. We can obtain a 0
448 correlation coefficient between pre-
dicted rankings and target rankings, which seems to be readily explainable: famous
researchers are also famous on the web sites. Subsequently, we integrate the pro-
posed network-based features obtained from each type of single network as well as
multi-relational networks among researchers to train and predict the rankings. The
co-occurrence-based networks G Ecooc , G Eoverla p , G Joverla p (especially on English-
language web sites) appear to be a better explanation of target ranking of Paper than
the co-affiliation network G af filiation or the co-project network G pro jext . Using fea-
tures from multi-relational networks G ALL , the prediction results are better than for
any other single-relational network. Furthermore, when we combine network-based
features with attribute-based features to learn the model, the results outperform each
using attribute-based features only and network-based features only.
.
5.3
Detailed Analysis of Useful Features
We use network-based features separately for training. We expect the target rank-
ings to clarify their usefulness. Leaving out one feature, the others are used to train
and predict the rankings to evaluate network-based features. In fact, the k -th feature
is a useful feature for explaining the target ranking if the result worsens much when
leaving out the k feature. Table 5 presents the effective features for the target rank-
ing of Paper in the researcher field. For example, the maximum number of links
in the reachable nodeset of x from the cooc network from English-language web
sites Max
C ( )
γ
G Ecooc is effective for the target ranking, which means that if a
x
Ta b l e 5 Effective features in various networks for Paper among researchers
Top Effective Features for Paper
Max γ C ( )
1
G Ecooc
x
Min γ C ( 1 )
G Jcooc
2
x
Avg γ C ( )
3
G Eoverlap
x
Max t C ( )
4
G Joverlap
x
Avg u x C ( 1 )
5
G Eoverlap
x
Min γ C ( 1 )
6
G Eoverlap
x
Min γ C ( )
x
7
G Jcooc
Ratio ( Sum s ( 1 ) C ( 1 )
, Sum s ( 1 ) C ( )
8
) G pro ject
x
x
Avg γ C ( 1 )
9
G Joverlap
x
C ( 1 )
x
10 Min
G Ecooc
11 Ratio ( Sum s ( 1 ) C ( 1 )
γ
, Sum s ( 1 ) C ( )
) G Ecooc
x
x
12 Ratio ( Sum u x C ( 1 )
, Sum u x C ( )
) G Ecooc
x
x
C ( 1 )
x
13 Min
G Jcooc
14 Ratio ( Avg u x C ( 1 )
u x
, Avg u x C ( )
) G Jcooc
x
x
15 Min γ C ( )
G Joverlap
x
 
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