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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Modeling of Posting Behavior in Social Media</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Kateryna Kononova</string-name>
          <email>kateryna.kononova@karazin.ua</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Anton Dek</string-name>
          <email>dektox@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Maksym Shpakovych</string-name>
          <email>maksym.shpakovych@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Applied Mathematics, Kharkiv National University of Radioelectronics</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Department of Economic Cybernetics and Applied Economics, V. N. Karazin Kharkiv National University</institution>
        </aff>
      </contrib-group>
      <fpage>837</fpage>
      <lpage>849</lpage>
      <abstract>
        <p>The aim of the research is a modeling of online social networks (OSNs) users posting behavior. The research is based on the data retrieved from two most popular Russian-speaking OSNs - Vkontakte and Odnoklassniki. The article explores the distribution of the users, their posts, friends, and groups. To check the common hypothesis that content creators are also the main channel of information propagation, we have applied Kohonen maps. Users clustering allowed identifying the types of their posting behavior; in particular, we distinguished “writers” from “propagators” and “readers”. The research has shown that the cluster of “writers” was the smallest in both OSNs; however, these users generated the main content. Next in number was a cluster of “propagators”, contained users with the largest number of reposts. Among those who are actively interested on a given topic, the most numerous group was “readers”, however, the absolute majority of users stayed “indifferent”; they could be considered as a potential audience. Obtained results can be used for Green Technologies promoting in society enforcing their wide implementing.</p>
      </abstract>
      <kwd-group>
        <kwd>users posting behavior</kwd>
        <kwd>online social networks</kwd>
        <kwd>generation and dissemination of information</kwd>
        <kwd>clustering</kwd>
        <kwd>neural networks</kwd>
        <kwd>Kohonen maps</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1 Introduction</title>
      <p>Despite high expectations and a huge amount of publications on environmental
safety, which is one of the main aims of National Agendas in many countries, it
should be admitted that the general attention to green technologies decreases in
recent years (Figure 1).</p>
      <p>The previous study (Kononova et al., 2016) showed that there was no significant
correlation between indices of Green Technologies and Environmental Sustainability
at the macro level. Nevertheless, it was observed at the micro level, emphasizing the
importance of Green Technologies promotion not only on the state level but also in
society. Taking into account the fact that more than a quarter of the world population
are users of several online social networks (OSNs), they offer one of the most
effective channels of opinion forming. However, to find the optimal (shortest and
cheapest) way to promote any idea via OSN, its structure and users posting behavior
should be studied in details.</p>
      <p>Nowadays numerous researchers deal with agents behavior, studying its
properties, motivation and significant factors. However, despite the growing number
of scientific publications in this field, relevant research is fragmented and there is not
yet a holistic understanding of agents behavior. At the same time, big social data
accumulation in recent years has formed a separate interdisciplinary research
direction – Social Media Mining, which studies social networks structures, users’
profiles and their behavior. Content, generated by users of social networks, is an
important source of information, which could be effectively used to identify implicit
patterns of users posting behavior.</p>
      <p>The research includes the data about users’ profiles, their posts, and comments
retrieved from two the most popular Russian-speaking social networks Vkontakte
(VK) and Odnoklassniki (OK). The purpose of the study is modeling of users posting
behavior with the data collected from the OSNs on a given topic (which is not
environmental issues, but more popular one). To achieve it, the following tasks were
set:
−
−
−
to download the users’ profiles residing in the target regions;
to download the posts from users’ pages;
to recognize the posts on a given topic using preliminary developed
dictionaries;
− to identify active on a given topic users;
− to identify and describe the types of their posting behavior.</p>
      <p>This paper is organized as follows: in the next Section we explain the previous
studies on social streams; in Section 3, we present the methodology of data collection
and preparation; in Section 4 you can find frequency analysis results; the posting
behavior of VK and OK users is described in Sections 5 and 6; and finally, we
discuss the results and conclude the paper in Section 7.</p>
    </sec>
    <sec id="sec-2">
      <title>2 Related works</title>
      <p>
        Online social networks have attracted considerable scientific attention. Earlier
works
        <xref ref-type="bibr" rid="ref1 ref2">(Kumar et al., 2003, Gruhl et al., 2004, Adamic et al., 2005)</xref>
        have focused on
the information propagation behavior in blog-sphere and studied the information
epidemics using classical Diffusion of Innovation model. Kumar studied the
“burstiness” of blogs analyzing the evolving link structure. Gruhl focused on the
propagation of topics from one blog to the next based on the text of the weblog rather
than its hyperlinks. Leskovec (Leskovec et al., 2008) analyzed networks structure of
about 45 thousand blogs and 2.2 million postings and offered a model of network
evolution.
      </p>
      <p>Guo (Guo et al., 2009) analyzing posting behavior has shown strong daily and
weekly patterns; however, for re-posting, the temporal patterns have not been
observed. They also distinguished two groups of users: steadily posting in the
network, and inactively posting (the rest ones posted occasionally). Bamsuk
(Bamsuk, 2012) also investigated temporal characteristics of posting behavior
making comparisons blogosphere vs. Twitter, commercial blogs vs. non-commercial
blogs. Benevenuto (Benevenuto et al., 2010) used clickstream data from a social
network aggregator to compare user behavior across different online social networks.</p>
      <p>To understand user behavior, Papagelis, (Papagelis et al., 2011) investigated the
causality between individual behavior and social influence by observing the diffusion
of innovations among social peers. Liu (Liu et al., 2010) predicted user’s interest
based on click behavior. Assuming that user behavior is mainly influenced by three
factors: breaking news, posts from social friends and user’s intrinsic interest, Xu (Xu
et al., 2012) proposed a mixture topic model to analyze users posting behavior.
Roman (Roman et al., 2012) presented a stochastic model based on decision-making
psychology to describe content posting dynamics on OSNs.</p>
      <p>However, analyzing posting behavior, most of the studies are based on analytical
models focusing on the ways of users connections, the structure of the networks and
how it evolved over time. Driving by initial assumptions about users posting
behavior they insist on a sensible but doubtable hypothesis that content creators are
the same users who play an important role on information propagation. Our study,
going from the data, offers a bit different view on this issue separating those who
write and those who deliver the information to the majority of readers.</p>
    </sec>
    <sec id="sec-3">
      <title>3 Data collection and preparation</title>
      <p>The research includes the data retrieved from two most popular Russian OSNs –
Vkontakte and Odnoklassniki concerning a specified topic (political issues in
crossborder regions). VK and OK are relatively similar social networks, both providing
the following data in an accessible form:
− user’s ID;
− geolocation;
− the list of the user’s friends;
− the list of the user’s groups;
− user’s posts.</p>
      <p>All profiles and posts of those users, who indicated the target geolocation, were
downloaded from these two networks. The sample includes 248k Vkontakte profiles
and 238k Odnoklassniki profiles. First, both datasets were cleaned from
uninformative posts:
− which did not contain textual information (only links, pictures, audio, etc.);
− that language did not match the analyzed one (to identify posts in Russian, the
poliglot library of python was used).</p>
      <p>Then, using the tokenizer module of the nltk library of python, we have split the
sentences into separate words and removed extraneous characters (punctuation
marks, emoticons, etc.). With the pymorphy2 library, the words were lemmatized; all
the letters in the words were converted to a lower case. As a result, we have two
datasets (for VK and OK), which meet the following requirements:
− textual format;
− the language of the posts is Russian;
− the words are in a single word form;
− all extraneous characters are deleted;
− all words are written in lower case.</p>
      <p>−</p>
    </sec>
    <sec id="sec-4">
      <title>4 Frequency characteristics of profiles and posts</title>
      <p>After datasets preliminary preparation, we have found and calculated the posts
containing the words from a pre-compiled thematic dictionary (Table 1).</p>
      <p>Analysis of the datasets frequency characteristics has shown that more than 40%
of VK users and 25% of OK users did not have friends putting under doubts the
relevance of their profiles (Figure 2). However, in general, the distribution density of
friends is described by Gaussian low; it indicates the relevance of the sample.</p>
      <p>Almost 60% of both OSNs users were not subscribed to the groups specializing on
a given topic (Figure 3).</p>
      <p>At the same time, about a quarter of a percent of users participated in more than
500 thematic groups; it allows making an assumption about the non-random nature
of their behavior.</p>
      <p>The thickening tail of the posts distribution leads to considerations about the
engagement of users who have written more than 500 posts on a given topic (almost
5% of VK users, Figure 4).</p>
      <p>In general, a preliminary study has shown that 10% of users generate 70% of the
content (Figure 5). Taking into account that some users were posting 5-10 times per
day, it could be assumed that posting was kind of work for them.</p>
      <p>The preliminary research has allowed concluding that the distributions of posts
and thematic groups were non-random, initiating a more detailed study of users
posting behavior.</p>
    </sec>
    <sec id="sec-5">
      <title>5 Posting behavior of VK users</title>
      <p>To identify and describe the types of posting behavior we have decided to use a
neural network approach, in particular, Kohonen maps, which allow revealing hidden
regularities in the data. Maps are very easy to interpret, because
- each map is a visualization of one of the user's parameters;
- each hexagonal cell contains a certain, in general not the same, number of users;
- the users location is the same at the all maps;
- the color of the cell corresponds to the value of clustering parameter (the scale is
indicated at the bottom of each map).</p>
      <p>After a series of experiments with VK sub-sample (formed from users who had
more than 200 posts), the following set of maps was obtained (Figure 6).</p>
      <p>The analysis of VK clusters cores (Table 2) allowed describing the following
types of users posting behavior: “writers”, “propagators”, “readers” and
“indifferent”.</p>
      <p>Clusters
Writers (81 users, 6.9%)
Propagators (83 users, 7.1%)
Readers (113 users, 9.7%)
Indifferent (890 users, 76.3%)</p>
      <p>Let us consider the features of the clusters. Seven percent of users got to the
cluster of “writers”. Although this cluster is the smallest, its users have generated the
main content on the given topic. In addition, they more often then other left
comments when reposting. It is interesting that these users have the largest number of
10
70
20
10
500
272
208
107
friends, which could be explained by opposite reasons – either their writings are
supported by the community or they expand the channels of information diffusion
themselves.</p>
      <p>Next in number is a cluster of “propagators” (also about 7%); these are users with
the largest number of reposts from thematic groups. Unlike other users, they have
few friends focusing on the concentrated content collection from thematic groups and
its further reposting.</p>
      <p>Among the people who are actively interested on a given topic the most numerous
group is “readers” (about 10%) whose news feed is full of friends’ posts. Unlike
“propagators”, they are focused on the consumption of information, rather than on it
distribution.</p>
      <p>However, the majority of VK users (more than 76%) were indifferent to the
subject and did not show any activity at all.</p>
      <p>Graphically identified types of behavior are shown in Figure 7.
1600
1400
1200
1000
800
600
400
200
0</p>
    </sec>
    <sec id="sec-6">
      <title>6 Posting behavior of OK users</title>
      <p>The neural network of the same architecture testing on OK dataset has shown
comparable results. There are also clusters of “writers”, “propagators”, “readers” and
“indifferent” users. This indicates the stability of the identified types of posting
behavior. A set of Kohonen maps built on the OK dataset is shown in Figure 8.
Graphically identified types of OK users posting behavior are shown in Figure 9.</p>
      <p>Num of friends
Num of groups
Num of posts</p>
      <p>Num of friends' posts
Writers (8 users, 2.9%)</p>
      <p>Propagators (17 users, 6.2%) Readers (28 users, 10.1%) Indifferent (223 users, 80.8%)</p>
    </sec>
    <sec id="sec-7">
      <title>7 Conclusions</title>
      <p>Analysis of frequency characteristics of 248k VK profiles and 238k OK profiles
has shown that more than 40% of VK users and 25% of OK users did not have
friends; about a quarter of a percent of users took part in more than 500 thematic
groups. In addition, the distribution of posts had the fat tail, identifying the users who
had written more than 500 posts on a given topic. These facts actualized the need for
a more detailed study.</p>
      <p>Experimenting with different architectures has allowed creating Kohonen neural
networks of the same structure (Figure 10) to identify users posting behavior on both
OSNs (VK and OK).
Num of
groups
Num of
posts
Num of
friends'
posts</p>
      <sec id="sec-7-1">
        <title>Writers</title>
      </sec>
      <sec id="sec-7-2">
        <title>Readers</title>
      </sec>
      <sec id="sec-7-3">
        <title>Propagators</title>
      </sec>
      <sec id="sec-7-4">
        <title>Indifferent</title>
        <p>Comparing the clustering results on both social networks, we note that the
identified types of users behavior, namely: “writers”, “propagators”, “readers” and
“indifferent”, have proved to be stable. In addition, we distinguished “writers” from
“propagators” and “readers” not proving the common hypothesis that content
creators are also the main channel of information propagation.</p>
        <p>It was shown that on both OSNs the cluster of “writers” was the smallest,
however, its users had generated the main content on a given topic (the number of
their daily posts allows making an assumption about their bias); in addition, they
more often than others left comments when reposting. The main identifying criterion
of this cluster was the number of posts generated by one user.</p>
        <p>Next in number was a cluster of “propagators”, which contained the users with the
largest number of reposts from thematic groups. The main clustering criterion here
was the number of thematic groups subscribed by the user.</p>
        <p>Among those who were actively interested on a given topic, the most numerous
group were “readers” whose news feed was full of relevant posts. The main
clustering criterion here was the number of user friends’ posts on the given topic.</p>
        <p>However, the absolute majority of both OSNs users were indifferent to the topic;
they could be considered as a potential audience (Figure 11).
Writers
Propagators
Readers</p>
        <p>Indifferent
VK</p>
        <p>OK</p>
        <p>Experimental data and obtained conclusions can be used both in the theoretical
analysis (substantiation of behavioral axioms and hypotheses) and in research of
applied problems related to the posting behavior of social network agents for the
development of effective mechanisms for the information flows formation. It could
be of help in Green Technologies promoting in society enforcing their wide
implementing.</p>
      </sec>
    </sec>
  </body>
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