45,602 research outputs found
Fixed-Parameter Algorithms for Computing Kemeny Scores - Theory and Practice
The central problem in this work is to compute a ranking of a set of elements
which is "closest to" a given set of input rankings of the elements. We define
"closest to" in an established way as having the minimum sum of Kendall-Tau
distances to each input ranking. Unfortunately, the resulting problem Kemeny
consensus is NP-hard for instances with n input rankings, n being an even
integer greater than three. Nevertheless this problem plays a central role in
many rank aggregation problems. It was shown that one can compute the
corresponding Kemeny consensus list in f(k) + poly(n) time, being f(k) a
computable function in one of the parameters "score of the consensus", "maximum
distance between two input rankings", "number of candidates" and "average
pairwise Kendall-Tau distance" and poly(n) a polynomial in the input size. This
work will demonstrate the practical usefulness of the corresponding algorithms
by applying them to randomly generated and several real-world data. Thus, we
show that these fixed-parameter algorithms are not only of theoretical
interest. In a more theoretical part of this work we will develop an improved
fixed-parameter algorithm for the parameter "score of the consensus" having a
better upper bound for the running time than previous algorithms.Comment: Studienarbei
RankMerging: A supervised learning-to-rank framework to predict links in large social network
Uncovering unknown or missing links in social networks is a difficult task
because of their sparsity and because links may represent different types of
relationships, characterized by different structural patterns. In this paper,
we define a simple yet efficient supervised learning-to-rank framework, called
RankMerging, which aims at combining information provided by various
unsupervised rankings. We illustrate our method on three different kinds of
social networks and show that it substantially improves the performances of
unsupervised metrics of ranking. We also compare it to other combination
strategies based on standard methods. Finally, we explore various aspects of
RankMerging, such as feature selection and parameter estimation and discuss its
area of relevance: the prediction of an adjustable number of links on large
networks.Comment: 43 pages, published in Machine Learning Journa
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