Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Lovasz-Bregman Divergence and connections to rank aggregation,
  clustering, and web ranking   We extend the recently introduced theory of Lovasz-Bregman (LB) divergences
(Iyer & Bilmes, 2012) in several ways. We show that they represent a distortion
between a 'score' and an 'ordering', thus providing a new view of rank
aggregation and order based clustering with interesting connections to web
ranking. We show how the LB divergences have a number of properties akin to
many permutation based metrics, and in fact have as special cases forms very
similar to the Kendall-$\tau$ metric. We also show how the LB divergences
subsume a number of commonly used ranking measures in information retrieval,
like the NDCG and AUC. Unlike the traditional permutation based metrics,
however, the LB divergence naturally captures a notion of "confidence" in the
orderings, thus providing a new representation to applications involving
aggregating scores as opposed to just orderings. We show how a number of
recently used web ranking models are forms of Lovasz-Bregman rank aggregation
and also observe that a natural form of Mallow's model using the LB divergence
has been used as conditional ranking models for the 'Learning to Rank' problem.

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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph