Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ranking Data with Continuous Labels through Oriented Recursive
  Partitions   We formulate a supervised learning problem, referred to as continuous
ranking, where a continuous real-valued label Y is assigned to an observable
r.v. X taking its values in a feature space $\mathcal{X}$ and the goal is to
order all possible observations x in $\mathcal{X}$ by means of a scoring
function $s:\mathcal{X}\rightarrow \mathbb{R}$ so that s(X) and Y tend to
increase or decrease together with highest probability. This problem
generalizes bi/multi-partite ranking to a certain extent and the task of
finding optimal scoring functions s(x) can be naturally cast as optimization of
a dedicated functional criterion, called the IROC curve here, or as
maximization of the Kendall ${\tau}$ related to the pair (s(X), Y ). From the
theoretical side, we describe the optimal elements of this problem and provide
statistical guarantees for empirical Kendall ${\tau}$ maximization under
appropriate conditions for the class of scoring function candidates. We also
propose a recursive statistical learning algorithm tailored to empirical IROC
curve optimization and producing a piecewise constant scoring function that is
fully described by an oriented binary tree. Preliminary numerical experiments
highlight the difference in nature between regression and continuous ranking
and provide strong empirical evidence of the performance of empirical
optimizers of the criteria proposed.

17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg