Learning to rank is a new statistical learning technology on
creating a ranking model for sorting objects. The technology
has been successfully applied to web search, and is becoming
one of the key machineries for building search engines. Exist-
ing approaches to learning to rank, however, did not consider
the cases in which there exists relationship between the ob-
jects to be ranked, despite of the fact that such situations are
very common in practice. For example, in web search, given
a query certain relationships usually exist among the the
retrieved documents, e.g., URL hierarchy, similarity, etc.,
and sometimes it is necessary to utilize the information in
ranking of the documents. This paper addresses the issue
and formulates it as a novel learning problem, referred to
as, `learning to rank relational objects'. In the new learning
task, the ranking model is de¯ned as a function of not only
the contents (features) of objects but also the relations be-
tween objects. The paper further focuses on one setting of
the learning problem in which the way of using relation in-
formation is predetermined. It formalizes the learning task
as an optimization problem in the setting. The paper then
proposes a new method to perform the optimization task,
particularly an implementation based on SVM. Experimen-
tal results show that the proposed method outperforms the
baseline methods for two ranking tasks (Pseudo Relevance
Feedback and Topic Distillation) in web search, indicating
that the proposed method can indeed make e®ective use of
relation information and content information in ranking.
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