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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>All for One or One for All? Analyzing Collaboration Patterns in Research Environments</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Mario Cataldi</string-name>
          <email>m.cataldi@iut.univ-paris8.fr</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Luigi Di Caro</string-name>
          <email>dicaro@di.unito.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Claudio Schifanella</string-name>
          <email>schi@di.unito.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Universit ́e Paris 8, Paris, France University of Torino</institution>
          ,
          <addr-line>Torino</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2018</year>
      </pub-date>
      <fpage>76</fpage>
      <lpage>79</lpage>
      <abstract>
        <p>Researchers, their scientific publications and their research projects are often object of evaluation, from different points of view, for many different purposes. However, even if different metrics have been proposed in literature, they usually assume the co-authorship to be a proportional collaboration between the researchers, missing out their relationships and their change on time along the career. In this work, we propose an application that makes use of a novel metric for evaluating and comparing researchers by taking into account the co-operations among them and estimate their reciprocal dependence degree along time. This application can help comparing and ranking researchers based on his/her demonstrated independence, along his/her whole career, with respect to the surrounding research community.</p>
      </abstract>
      <kwd-group>
        <kwd>Bibliometrics</kwd>
        <kwd>Collaboration Patterns</kwd>
        <kwd>Authors Ranking</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Introduction
Bibliometric indicators are increasingly used to evaluate scientific careers based
on personal publication records. The simple number of papers published by an
author rather than the received citations are still common ways to capture both
the quantity and the impact of an author’s set of works. However, these methods
do not capture the actual contribution of a researcher within a research network.
In this respect, it has been much discussed whether co-authors should have all
the same value in quantifying the impact of a paper. In [7], for example, the
author first pointed out the problem of undeserved coauthorship. In [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] it has
been stated that further efforts have to be done in this direction. However,
the simple analysis of the position of an author in the list is not enough [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
Indeed, this generalizes over something that is actually unknown. Which are the
rules governing the position of a person in the authors list? An objective and
universally-recognized point of view on that simply does not exist.
      </p>
      <p>In light of this, the pure information about the publication records of a
researcher often results insufficient for a fair evaluation of scientific profiles because
they do not take into account many factors, as the relationships between the
authors and their relative scientific influences, which should be directly considered
in the evaluation process.</p>
      <p>In fact, especially when these measures are used for recruitment purposes, it
is highly relevant to analyze the scientific dependencies among authors in order
to estimate the capacity of an author to work and produce research outcomes
without the people that assisted his or her work until that time.</p>
      <p>A research collaboration can be indeed defined as a two-way process where
individuals and/or organizations share learning, ideas and experiences to
produce together scientific outcomes. Collaborations are necessary because of the
evident difficulty for individual scientists to conduct several groundbreaking
research on their own. For this, one of the key aspect of a successful researcher
is the development of a large, active, network of collaborators that can help
the researcher to bring new solutions and propose, continuously, novel ideas and
approaches to the research community. On the other hand, evaluation of
individuals needs a sort of inverse process with the primary goal of understanding the
role of each researcher, and his/her specific impact on the research community,
in this collaborative environment.</p>
      <p>
        In light of this, following the work presented in [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], the main goal of this study
is to introduce a novel indicator for measuring the dependence among scientists
by analyzing their co-authorship network and their shared outputs.
      </p>
      <p>With these goals in mind, based on the entire DBLP bibliographic database,
in this paper we present a web platform (available at http://d-index.di.unito.it ),
which allows the user to study the scientific profile of each researcher and analyze,
through several dynamic visualization tools, the evolution of the impact of each
collaboration on his/her scientific output.
2</p>
      <p>Formalization of Scientific Collaborations in</p>
      <p>
        Publication Networks
Based on the previous theoretical works proposed in [
        <xref ref-type="bibr" rid="ref1 ref3">1, 3</xref>
        ], in this paper, we
make use of a formalization of the co-authorship network that represents the
environment in which a researcher has produced his/her scientific outcomes.
      </p>
      <p>Given two collaborating researchers (also called authors along the paper), ri,
rj and their common scientific network Nrti,rj , defined as the set of researchers
who collaborated with them, the autonomy of their collaboration atri,rj at time
t is calculated as:</p>
      <p> 0
t 
ari,rj = 
 Prk∈Nrti,rj

1
c(rk,Orti,rj ) x1 !
Px=1
if Nrti,rj = ∅
if Nrti,rj 6= ∅
where the function c(rk, Orti,rj ) returns the number of times a researcher rk
coauthored a paper with both ri and rj at time t. The higher the autonomy the
more independent the work of ri and rj is from their research environment. We
then define the dependence value of ri on the collaboration with rj as dtri→rj as
t
dri→rj =</p>
      <p>t
pri,rj ×
pt
ri
ari,rj,Nrti + atrj,¬ri,Nrti</p>
      <p>t
ari,rj,Nrti + atrj,¬ri,Nrti + atri,¬rj,Nrti
t
,
where p is a productivity score (number of published works) of a is the autonomy
score. The dependence value dtrj→ri ranges from 0 to 1 ; in particular, dtri→rj ≈ 0
indicates that the dependence of ri on rj , at the time t, is negligible, while a
dtri→rj ≈ 1 highlights the contrary.</p>
      <p>Thus, given the complete set of dependence values, for each year and
relative to each co-author, we calculate the researcher’s dependence trajectory, by
calculating the standard deviation, along the time, of each dependence value,
for each co-author, from the optimal attended value of 0 (which would mean a
dependence score of 0; i.e., the production of the considered researcher is
independent from the collaboration with the considered co-author). In a sense, we
aim at evaluating the overall independence of a researcher from the surrounding
community. More formally, given a researcher ri, we define his/her dependence
−→
trajectory dri = {sdtri , sdtr+i1, · · · , sdtr+in}, where sdtri is calculated as
sdtri =
s Prk∈Nri (dtri→rk )2
|Nri |
.</p>
      <p>We can use these values to properly compare, and rank researchers with
similar characteristics. More in detail, we provide a radar chart that can rank
the independence performance of a considered researcher with respect to those
who have i) similar career length, ii) similar number of publications, iii) similar
number of co-authors.
3</p>
      <p>Web Application and Real Case Scenario
In this section, we introduce our application for analyzing, comparing and
ranking scientific collaboration patterns of researchers. The web application is
available at http://d-index.di.unito.it. As data input, we considered the DBLP data
set1.</p>
      <p>The proposed application permits to search for any author indexed by DBLP
and to take a preview, through several features and visualizations, of his/her
scientific profile and her/his collaboration history over time. The user can analyze
the evolution over time of each scientific collaboration for a searched researcher.
It is also possible to The system can visualize the evolution of the dependence of
a researcher on the support of each co-author along the career. With this chart, it
is also possible to select/deselect additional co-authors to make further analyses
and comparisons. The application also provides a dynamic visualization chart
1 http://dblp.uni-trier.de/db
(called “time-lapse”) which allows the user to focus on a specific time interval
and/or a subset of co-authors.</p>
      <p>Finally, the proposed tool tool also allows to compare and rank the overall
independence of an author, along his/her whole career, with the whole research
community. Please also notice that it is also possible to compare the considered
researcher against others (even if they do not share the same time career). This
visualization permits to focus on how much the entire production of a researcher
can be considered dependent on the interactions with her/his local community.</p>
      <p>The presented demo can be used to analyze each researcher in the entire
DBLP community by also considering similar profiles (with parameters such as
number of papers, number of co-authors, and length of career).</p>
    </sec>
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