Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evaluation Measures for Quantification: An Axiomatic Approach   Quantification is the task of estimating, given a set $\sigma$ of unlabelled
items and a set of classes $\mathcal{C}=\{c_{1}, \ldots, c_{|\mathcal{C}|}\}$,
the prevalence (or `relative frequency') in $\sigma$ of each class $c_{i}\in
\mathcal{C}$. While quantification may in principle be solved by classifying
each item in $\sigma$ and counting how many such items have been labelled with
$c_{i}$, it has long been shown that this `classify and count' (CC) method
yields suboptimal quantification accuracy. As a result, quantification is no
longer considered a mere byproduct of classification, and has evolved as a task
of its own. While the scientific community has devoted a lot of attention to
devising more accurate quantification methods, it has not devoted much to
discussing what properties an \emph{evaluation measure for quantification}
(EMQ) should enjoy, and which EMQs should be adopted as a result. This paper
lies down a number of interesting properties that an EMQ may or may not enjoy,
discusses if (and when) each of these properties is desirable, surveys the EMQs
that have been used so far, and discusses whether they enjoy or not the above
properties. As a result of this investigation, some of the EMQs that have been
used in the literature turn out to be severely unfit, while others emerge as
closer to what the quantification community actually needs. However, a
significant result is that no existing EMQ satisfies all the properties
identified as desirable, thus indicating that more research is needed in order
to identify (or synthesize) a truly adequate EMQ.

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The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: math
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The categories of this paper are: q-bio