<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>The Fourth International Workshop on Computer Modeling and Intelligent Systems, April</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>An algorithm for topic modeling of researchers taking into  account their interests in Google Scholar profiles </article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Serhiy Shtovba</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mykola Petrychko</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Vasyl' Stus Donetsk National University</institution>
          ,
          <addr-line>600-richchia str., 21, Vinnytsia, 21021</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Vinnytsia National Technical University</institution>
          ,
          <addr-line>Khmelnytske Shose, 95, Vinnytsia, 21021</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2020</year>
      </pub-date>
      <volume>27</volume>
      <issue>2021</issue>
      <fpage>0000</fpage>
      <lpage>0003</lpage>
      <abstract>
        <p>  An algorithm for topic modeling of researchers based on their interests from Google Scholar's profiles is proposed. As topics for modeling, we took research groups from research classification system ANZSRC - Australian and New Zealand Standard Research Classification. Researchers' distribution to research groups is found based on their interests' usage statistics in categorized publications from Dimensions. Topic modeling is conducted accordingly to principles of statistical support, multi-labeling, noise filtering, ignoring stopwords, solidarities, focusing, compactness and research groups' interactions. We compare topic modeling based on data with low level of information from researchers' profiles in Google Scholar with topic modeling based on a few dozen authored publications categorized by Dimensions. Comparison is made by modified Czekanowski metric that takes into account the interaction between research groups. By comparing the results of topic modeling based on different sources of initial information a good match was found. It allows to use the proposed algorithm as the intellectual core of information technology in regards to scientific staff, in particular, for the selection of candidates as opponents of a dissertation, as reviewers for research projects, for forming a team to collaborate on mutual research projects etc.</p>
      </abstract>
      <kwd-group>
        <kwd>topic modeling</kwd>
        <kwd>Google Scholar</kwd>
        <kwd>Dimensions</kwd>
        <kwd>ANZSRC</kwd>
        <kwd>researcher's profile</kwd>
        <kwd>research interests</kwd>
        <kwd>research group</kwd>
        <kwd>Czekanowski metric</kwd>
        <kwd>Jaccard index</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction </title>
      <p>Google Scholar aggregates the most volumetric collection of researchers’ profiles. The most used
information from Google Scholar profiles is citations. It, for example, is used as primary information
for university ranking in Webometrics. Several studies, in particular [1, 2], are concerned with
comparing concordance of Google Scholar citations with different scientometrics systems such as
Scopus, Web of Science, Dimensions and others, that use only meta-information from publishers. A
researcher’s profile in Google Scholar contains not only publications and their citations, but also other
information. In particular, a researcher provides his or her interests. A researcher chooses the interests
in a loose manner without any limitations. Google Scholar provides a web interface to search
researchers by an interest. However, the results are formed by literal coincidence. That is why the
results for fuzzy set and fuzzy sets are different; the same applies for synonymous interests such as
fuzzy evidence and fuzzy inference. Moreover, Google Scholar does not take into account an
interconnection of the interests, that is the search by an interest is done independently and isolated.
Given that, the search and analytical services that provide information about many researchers in
Google Scholar are relatively straightforward.</p>
      <p>The goal of this paper is topic modeling of researchers based on their interests from Google
Scholar. Methods that process a researcher’s interests from Google Scholar profile are not studied
well. We identified only two relevant publications. One of them is [3], it describes a recommendation
system that recommends supervisors based on some information and interests of candidates from
Google Scholar profiles as well. Another paper [4] presents an information technology that
synthesizes a research profile of institute or research laboratory. It also uses interests of researchers
from their profiles at Google Scholar. Articles [3, 4] are based on pairwise comparison using cosine
similarity metric between researcher and a set of keywords from a given topic. Such a topic in [3] is
an article at Wikipedia. Unlike these methods, we strive to categorize researchers by a given research
classification system, that is to assign a research group to each of them.</p>
      <p>Automatic researchers’ categorization is usually done as a result of generalizing the topics of their
publications. One of the methods for this is presented at [5]. The authors present a statistical model
“Author-Topic” that is based on topic modeling model Latent Dirichlet Allocation [6]. This model
represents a researcher as a distribution over some abstract topics. The topics are clusters of similar
words. One of the drawbacks of this model is low interpretation of the topics because they are formed
by words frequency in a document. To improve the interpretation another model
“Author-SubjectTopic” is proposed in [7]. This model additionally uses a research specialty that is defined by journal
in which an analyzed publication is published. In [8] another improvement of “Author-Topic” model
is presented – “Author-Persona-Topic” model. In this model rather than representing all researcher’s
documents as single topic distribution, authors group all documents into different clusters, each with
its own topic distribution. These clusters represent “personas” under which an author writes.</p>
      <p>Apart from topic modeling methods there are also methods based on word embedding. They
generally perform better than topic models because they can incorporate semantic relationships. One
of the most popular models of embedding is word2vec [13]. It is used in [9] as a part of similarity
metric between researchers using their publications. They assess the similarity between words that
comprise publications of different researchers using representation of words defined by word2vec.
The authors of [10] use publications’ titles as source information for solving the problem of
collaboration recommendation. The words from the titles are represented as vectors using word2vec.
These vectors are then clustered using k-means to partition researchers into different academic
domains. The representation of a researcher is further improved by using his co-authorship and the
random walk method to find his influence in different domains. In [11] authors represent a researcher
as a set of documents he/she has written. The words of the documents are defined as vectors trained
by word2vec model. These representations are then used to solve the problem of expert finding by
utilizing a restricted convolutional neural network. In [12] a researcher is represented as a
concatenation of all his/hers abstracts. Each word in the concatenation is then represented as a vector
from word2vec model to solve the problem of reviewer recommendation.</p>
      <p>Analyzed methods assume to have enough number of publications for a given researcher with
selected keywords. At the same time, they do not account for the fact that co-author contribution is
sometimes relative to a small subset of the paper keywords. A researcher, especially a young one,
may have only a few publications that may not be enough for a valid categorization. On the other
hand, the researcher can manually specify at the profile a set of keywords that describe his (or her)
activities. As the time goes on a researcher may change his research direction, for example, move to
another laboratory or another project. Given that there is no change when a researcher is categorized
based on his publications, categorization based on his keywords may find these changes. By taking
that in mind, we study the topic modeling based on actual interests that a researcher specified by
himself (or herself) at the current moment.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Problem statement </title>
      <p>We use the following notations:</p>
      <p>W  w1, w2 ,..., wn  is a set of keywords that are equal to researcher interests in Google Scholar
profile;</p>
      <p>T  t1, t2 ,...,tm  is a set of research topics from a research classification system;
D1, D2 ,..., Dm is a set of topic-marked collections of texts; each collection contains only
publications from topics t1, t2 ,..., tm , respectively;</p>
      <p>B  D1  D2  ...  Dm is the general collection of topic-marked texts; each element of B belongs
to one or more topics from the set T ;</p>
      <p>R(D,T )  D  T is a relation that describes membership of a publication to topic-marked
collections.</p>
      <p>The problem is to find out topics from T that correspond to the set of interests W . The results of
~
mapping W  T is a fuzzy set W defined on the universal set of topics T as follows:</p>
      <p>W~   Wt1(t1) , Wt2(t2 ) ,..., Wtm(tm )  ,</p>
      <p>the cardinality of the fuzzy set support must be small 1  supW~   Tmax , for example, with
Tmax 2,3,4a researcher will be assigned only to a few topics;
W t p   1 , which is equivalent to the topic modeling regularization condition.</p>
      <p>____
p1,m</p>
    </sec>
    <sec id="sec-3">
      <title>3. Data acquisition and preprocessing </title>
      <p>We use a researcher’s profile from Google Scholar to get the keywords. For example, in Figure 1
we have a researcher’s profile with three keywords that are marked with blue color. For this
researcher: w1 "Computational Intelligence" ; w2 " Fuzzy Logic" ; w3 " Artificial Intelligence" .
The order of keywords in the set W is not important, this corresponds to the bag of words model.
Interests often complement each other thus making their research topics more focused. To take that
into account we synthesize additional keywords defined as pairs of initial interests. Interests in a pair
are combined by a logical operation AND. For researcher from Figure 1 additional keywords are
defined as follows:
w4 " Computational Intelligence" AND " Fuzzy Logic" ;
w5 "Computational Intelligence" AND " Artificial Intelligence"
w6 " Fuzzy Logic" AND " Artificial Intelligence"</p>
      <p>If a researcher’s profile has 3 interests, additional 3 keywords are synthesized, if it has 4 interests
then 6 additional are synthesized etc.</p>
      <p>For researchers’ topic modeling, we need to choose a research classification system. There are a
lot of them, but when choosing we take into account not only their semantic advantages and
disadvantages, but also that there is an information system with this research classification system that
has available search services. In addition, we require that the information system must indexes a large
number of categorized publications over all research. The information system that satisfies these
requirements is Dimensions.</p>
      <p>Dimensions indexes more than 110M of publications. All publications are categorized by the
twolevel variant of Australian and New Zealand Standard Research Classification (ANZSRC) with 22
research divisions and 154 research groups (Table 1). In this work we use the research groups to
model a researcher’s interests.
P1 ‐ Anthropology; P2 ‐ Criminology; P3 ‐ Demography; P4 ‐ Human 
Geography; P5 ‐ Policy and Administration; P6 ‐ Political Science; P7 ‐ Social 
Work; P8 ‐ Sociology; P9 ‐ Other Studies In Human Society 
Q1 ‐ Psychology; Q2 ‐ Cognitive Sciences; Q3 ‐ Other Psychology and Cognitive 
Sciences; 
R1 – Law; R2 ‐ Other Law and Legal Studies 
S1 ‐ Art Theory and Criticism; S2 ‐ Film, Television and Digital Media; S3 ‐ 
Journalism and Professional Writing; S4 ‐ Performing Arts and Creative 
Writing; S5 ‐ Visual Arts and Crafts; S6 ‐ Other Studies In Creative Arts and </p>
      <p>Writing 
Language,  T1 ‐ Communication and Media Studies; T2 ‐ Cultural Studies; T3 ‐ Language 
Communication and  Studies; T4 – Linguistics; T5 ‐ Literary Studies; T6 ‐ Other Language, 
Culture  Communication and Culture 
History and  U1 ‐ Archaeology; U2 ‐ Curatorial and Related Studies; U3 ‐ Historical Studies; 
Archaeology  U4 ‐ Other History and Archaeology 
Philosophy and  V1 ‐ Applied Ethics; V2 ‐ History and Philosophy of Specific Fields; V3 ‐ 
Religious Studies  Philosophy; V4 ‐ Religion and Religious Studies; V5 ‐ Other Philosophy and </p>
      <p>Religious Studies </p>
      <p>A query to Dimensions is formed separately by each element of the set W. If an element is a
phrase, then it is surrounded by quotes. As a search scope, we use Title and Abstract and we search
only the last 5 years – 2016 – 2020. An example of a search result for the query “fuzzy logic” is
presented in Figure 2. For each research division and research group there is a number of publications
that has the query mentioned in either the title or abstract. The results are sorted by the number of
publications descending. We can also find the overall number of publications for each research
division and group, that is without any query.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Topic modeling algorithm </title>
      <p>We perform the topic modeling of researchers based on the following principles:
 the principle of statistical support – the more publications from a specific research group a
given keyword contains, the more membership degree of this keyword to this research group
is;
 the principle of multi-labeling – a keyword can belong to a few research groups;
 the principle of noise filtering – we ignore research groups with low membership degree to a
given keyword;
 the principle of ignoring stop-words – we ignore keywords that appear in a very large number
of publications;




the principle of solidarities – the more keywords belong to the same research group the larger
the chance that the researcher belongs to this research group;
the principle of focusing – if a topic-marked collection of publications contains a few
keywords of a researcher at once then the chances to assign this researcher to the respected
topic increase;
the principle of compactness – a researcher can only be assigned to a few research groups;
the principle of research groups interaction – when cutting the tail of topic distribution, the
contribution of minor research groups is redistributed on leaders by taking into account their
similarity.</p>
      <p>We propose an algorithm to implement the proposed principles that consists of 3 stages. On the
first stage the set of queries based on keywords and their combination is formed. We use only pairs of
keywords because the results using triples of keywords are often empty and increase the processing
time. The second stage performs topic modeling by each query separately. Research groups are
chosen by the frequency of mentions at a topic-marked collection. Stop-words and noise are filtered
by the frequency of mentions in research groups at all topic-marked collections. The minor research
groups are left out using cumulative principle, by cutting the tail of the distribution. On the third stage
all membership degrees of queries are averaged, the resulted distribution is cut and research groups
with the low membership degree are dropped. To ensure compactness we only allow 1 to 4 research
groups.
%Topic modeling algorithm 
%  #1 – creating the set E of search queries from the keywords 
E=W 
for i=1:length(W) 
for j=i:length(W) </p>
      <p>
        E={E; [‘“’ W(i) ‘AND’ W(j) ‘”’] } 
end 
%  #2 – compute membership degrees to research groups by each query 
&lt; Find the number of publications at each topic‐marked collection  
  N=[N(
        <xref ref-type="bibr" rid="ref1">1</xref>
        ), N(
        <xref ref-type="bibr" rid="ref2">2</xref>
        ), …, N(m)] &gt; 
Counter=0  % the counter of successful query responses 
for i=1:length(E) 
&lt; Find Q – the number of publications D, that contain E{i} &gt; 
If Q&gt;Threshold_SW continue  % stop‐words 
end 
If Q&lt;Threshold_noise continue;  % noise 
end 
&lt; Find t(
        <xref ref-type="bibr" rid="ref1">1</xref>
        ), t(
        <xref ref-type="bibr" rid="ref2">2</xref>
        ),…, t(m) – the number of publications in the topic‐
marked collections in each research group for query E{i} &gt; 
% Ignore topics with a low number of publications: 
indeх=find(t&lt;Threshold_topic) 
t(indeх)=0 
if max(t)==0 continue 
end 
% Compute the frequency of E{i} at topic‐marked collections:  
Gamma=t./N 
&lt; Choose the most popular research groups that have cumulative 
contribution in Gamma not lower than Tail_1. Research groups that have 
cumulative contribution lower than Tail_1 are put in vector Rejected &gt; 
%  Ignore research groups with contribution lower than Tail_1:  
Gamma(Rejected)=0 
Gamma=Gamma./sum(Gamma)  % norm to be in [0, 1] 
Counter=Counter+1 
      </p>
      <p>Mu(Counter)=Gamma 
end 
If   Counter==0 
  return (‘Unsuccessful’) 
end 
%  #3 – compute membership degrees using all queries 
Mu_mean=mean(Mu)  % averaging all successful queries 
&lt; Form leaders of research groups that have cumulative contribution Mu_mean not 
lower than Tail_2. We restrict the number of leaders to be at most 6 with the 
largest cumulative contribution. If we have more than 6 leaders their numbers 
will be in the vector Rejected &gt; 
% Ignore research groups with contribution lower than Tail_2:  
Mu_mean(Rejected)=0  
Mu_mean= Mu_mean./sum(Mu_mean)  % norm to be in [0, 1] 
%  Current number of research groups: 
Current_N_fields=sum(Mu_mean&gt;0) 
%  Set the max number of research groups for a researcher: 
T_max=min(4, Counter+1) 
&lt; Find Mu_worst – the smallest membership degree among the leaders &gt; 
while (Current_N_fields&gt;T_max OR Mu_worst&lt;Tail_3) 
&lt; Drop the minor group and redistribute its contribution to others based 
on their similarity &gt; 
Current_N_fields=Current_N_fields‐1; 
Mu_mean= Mu_mean./sum(Mu_mean)  % norm to be in [0, 1] 
&lt; Find Mu_worst – the smallest membership degree among chosen  
  research groups &gt; </p>
      <p>On the last stage of the algorithm when dropping a minor research group its contribution is
redistributed to other research groups based on the similarity defined at [14, 15]. For example, let us
say that on an intermediate stage a researcher is assigned to research groups in the following way:
~  0.5 0.2 0.2 0.1 
W   , , ,  . Let us drop the minor group O4. For this, first using method from [14, 15]
 H 6 O5 O6 O4 
we compute Jaccard indexes between O4 and other research groups. For the data from 2016 – 2020
they are:</p>
      <p>J O4, H 6  0 ;
J O4,O5  0.13 ;
J O4,O6  0.22 .</p>
      <p>By taking into account the similarity, the contribution of the minor specialty O4 is redistributed in
the following way:
~  0.5  0  0.1 0.2  0.13 0.1 0.2  0.22  0.1
W   , ,  .</p>
      <p> H 6 O5 O6 
As a result, we get:
~  0.5 0.213 0.222 
W   , ,  .</p>
      <p> H 6 O5 O6 
After norming to be in [0,1] we have:
~  0.535 0.228 0.237 
W   , ,  .</p>
      <p> H 6 O5 O6 </p>
    </sec>
    <sec id="sec-5">
      <title>5. Checking example </title>
      <p>Let us illustrate how the algorithm works using as an example topic modeling of the researcher
from Figure 1. Using three interests, we form six queries. Figure 3 shows frequency of queries at
topic-marked collections. Figure 4 shows the results after cutting the first tail of the distribution. Next,
we average by all queries (Figure 5) and cut the tail of the distribution (Figure 6). The resulting
distribution is overfilled due to the broad usage of interests for the given researcher. To make the
results more focused the final stage of the algorithm reduces the number of research groups to 2
(Figure 7). As a result, we get that a researcher with interests at artificial intelligence and neural
networks has the largest membership degree in research groups H1 – Artificial Intelligence and Image
Processing with membership degree 0.441 and H2 – Computation Theory and Mathematics with
membership degree 0.559. Such a categorization of the researcher does not contradict with the
authors’ viewpoint. The example shows that even with two initial keywords the proposed algorithm
finds a good enough membership relation between the researcher and research groups.</p>
      <sec id="sec-5-1">
        <title>Figure 5: Averaging distributions of all keywords  </title>
        <p> </p>
      </sec>
      <sec id="sec-5-2">
        <title>Figure 6: Distributions after the second noise filtering  </title>
        <p> 
Figure 7: The result of topic modeling for the researcher from Figure 1  </p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>6. Comparing with categorized papers </title>
      <p>Comparing the results, we see that topic modeling based on interests from Google Scholar –
laconic subjective information, with the proposed algorithm categorizes researchers good enough. For
quantitative assessment of the results, we used Czekanowski metric. For the case when membership
degrees are in [0, 1], Czekanowski metric between two researchers W1 and W2 is computed in the
following way:</p>
      <p>
        FitW1,W2    min( tp (W1),tp (W2 )) . (
        <xref ref-type="bibr" rid="ref1">1</xref>
        )
      </p>
      <p>____
p1,m</p>
      <p>
        The metric (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ) can be interpreted as a sum of membership degrees of the intersection of fuzzy sets
~ ~
W1 and W2 , that represent the topic modeling results based on two source of information – interests
from Google Scholar and categorized publications in Dimensions.
      </p>
      <p>
        Based on the data from Table 2 we get the following assessments using metric (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ):
FitYager  0.441 ;
FitKussul   0.619 ;
FitBodyanskiy  0.498 .
      </p>
      <p>
        Using metric (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ) the match is computed with isolate assumption – only in the scope of each
individual research group. To take into account the contribution of similar research groups we
propose to the value of metric (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ) to add the following interactive addend:
FitW1,W2   _____ _____ J tv ,t p  min tv W1 , tp W2  (
        <xref ref-type="bibr" rid="ref2">2</xref>
        )
      </p>
      <p>
        v1,M p1,M
where J tv ,t p  denotes Jaccard index between research groups tv and t p ;
 tv W1   min0, tv W1    tv W2  denotes residual of membership degree to research group tv in
~
W1 after taking into account the matching between  tv W1  and tv W2  in (
        <xref ref-type="bibr" rid="ref1">1</xref>
        );
      </p>
      <p>
         tp W2   min0, tp W2    tp W1  denotes residual of membership degree to research group t p in
~
W2 after taking into account the matching between  tp W1  and  tp W2  in (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ).
      </p>
      <p>
        To filter information noise, we use the formula (
        <xref ref-type="bibr" rid="ref2">2</xref>
        ) only for pairs of research groups with a high
level of similarity – with Jaccard index greater than 0.02. For the research groups from the Table 2 we
have 2 such pairs. Jaccard indexes for them are the following:
      </p>
      <p>J D6, I 9  0.083 ;
J H1, H 6  0.071.</p>
      <p>
        Substituting the indexes in (
        <xref ref-type="bibr" rid="ref2">2</xref>
        ), we get:
FitYager  0 ;
FitKussul   min0.675  0.447,0.283 0.083  min0.346  0.172,0.153 0.071  0.03 ;
FitBodyanskiy  min0.797  0.295,0.506  0.203 0.071  0.022 .
      </p>
      <p>By taking into account the similarity of research groups the level of matching the topic modeling
results takes the following values:</p>
      <p>Fitsim Yager  0.441  0  0.441 ;</p>
      <p>Fitsim Bodyanskiy  0.498  0.022  0.52 .</p>
    </sec>
    <sec id="sec-7">
      <title>7. Conclusions </title>
      <p>We proposed researchers’ topic modeling based on their interests in Google Scholar profiles.
Interests in profiles researchers specify based on their discretion without using any vocabulary of
keywords. In the paper, we propose an approach to categorization of such researchers using the
research classification system ANZSRC. A mapping “researcher – research groups” is done using
information system Dimensions that contains more than 110 millions of publications categorized
according to ANZSRC.</p>
      <p>The algorithm of researchers’ topic modeling has 3 stages. The first stage forms a set of queries
based on keywords and their combination. On the second stage we perform topic modeling using each
query separately with filtering stop-words and underused words. On the third stage we average
membership degrees of all queries and cut the distribution to a few research groups. When dropping
minor research groups their contribution is redistributed to the leaders. As a result, we get
membership degrees for a researcher to a few research groups that correspond to the set of his
interests the most. Such mapping of interests can be viewed as an analog to the word2vec procedure.</p>
      <p>We compared topic modeling based on small amount of information from researchers’ profiles at
Google Scholar with topic modeling based on a few dozens of authored publications categorized by
Dimensions. As a result of comparison, we get a good matching of topic modeling results based on
different sources of initial information. It allows using the proposed algorithm as the intellectual core
of information technology in regards to scientific staff, in particular, for the selection of candidates as
opponents of a dissertation, as reviewers for research projects, for forming a team to collaborate on
shared research projects etc.</p>
    </sec>
    <sec id="sec-8">
      <title>8. References </title>
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