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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Using social networks to enhance a deep learning approach to solve the cold-start problem in recommender systems</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>University of KwaZulu Natal</institution>
          ,
          <addr-line>Westville</addr-line>
          ,
          <country country="ZA">South Africa</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>1925</year>
      </pub-date>
      <fpage>0000</fpage>
      <lpage>0001</lpage>
      <abstract>
        <p>The Cold-Start problem refers to the initial sparsity of data available to Recommender Systems that leads to poor recommendations to users. This research compares a Deep Learning Approach, a Deep Learning Approach that makes use of social information and Matrix Factorization. The social information was used to form communities of users. The intuition behind this approach is that users within a given community are likely to have similar interests. A community detection algorithm was used to group users. Thereafter a deep learning model was trained on each community. The comparative models were evaluated on the Yelp Round 9 Academic Dataset. The dataset was pruned to consist only of users with at least 1 social link. The evaluation metrics used were Mean Squared Error (MSE) and Mean Absolute Error (MAE). The evaluation was carried out using 5-fold cross-validation. The results showed that the use of social information improved on the results achieved from the Deep Learning Approach, and grouping users into communities was advantageous. However, the Deep Learning Approach that made use of social information did not outperform SVD++, a state of the art approach for recommender systems. However, the new approach shows promise for improving Deep Learning models.</p>
      </abstract>
      <kwd-group>
        <kwd>Cold-Start</kwd>
        <kwd>Deep Learning</kwd>
        <kwd>Recommender Systems</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Recommender Systems based on collaborative filtering [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] or the hybrid approach
[
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] have been shown to have the cold start problem [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. Even the best known
collaborative filtering based solution to recommender systems, SVD++ [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], is susceptible to
the cold start problem. The cold start problem arises when a Recommender System is
not able to infer a recommendation for a user as it does not have enough information
needed to make the recommendation. This may be due to the fact that a user is new to
the system and have not yet rated good number of items, or it may be because an item
has not yet been rated by a number of users. A recommender system is said to have the
cold-start problem if the data sparsity is a least 85% [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. The cold start problem can
be viewed from three (3) perspectives as follows:
1. Item cold start; recommending a new item to an existing user.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. User cold start; recommending an existing item to a new user.</title>
      <p>3. System cold start; recommending a new item to a new user.</p>
      <p>There have been a lot of research efforts to address the cold start problem in literature
and these include; (i) integrating collaborative filtering and content-based filtering (ii)
applying popularity based recommendation strategy (iii) real-time updating of
user/item latent factors, and (iv) users manually suggesting what they may like.</p>
      <p>
        Recently, there have been some efforts using social information to solve the cold
start problem [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. These solutions usually take advantage of
the availability of data on social relationships in social media platforms. Results from
these efforts have shown that social information does improve the recommendation
accuracy in the presence of the cold start problem [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. These
solutions are generally benchmarked against the solutions that would have been
extended with the social information. However, none of the existing literature have
compared their solution with SVD++.
      </p>
      <p>Deep learning is also one of the techniques that have recently been used to solve the
recommender systems problem in literature, with the hope of solving the cold start
problem. There also has not been any work comparing deep learning solutions with
SVD++. There have also been minimal work on combining the social media data and
deep learning to solve the cold start problem.</p>
      <p>This research aims to establish whether it is necessary to enhance deep learning
solutions with social information and give insights on whether the recommender systems
that use social information can outperform SVD++ in solving the cold start problem.
This research therefore compares the performance of a community-based deep learning
recommender system solution, a purely deep learning solution, and SVD++ in solving
the cold start problem.</p>
      <p>The remainder of this paper is organised as follows: Section 2 surveys existing
literature of various existing solutions to the cold-start problems, Section 3 discusses the
design and implementation of the proposed solution, Section 4 outlines the research
methodology, Section 5 provides the results and Section 6 concludes this paper with a
conclusion, discussion of results and future work.
2</p>
      <sec id="sec-2-1">
        <title>Related Work</title>
        <p>
          This section looks at related work that focused on the cold-start problem in
recommender systems. The works of [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ], [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ], [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ], [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ], [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ], and [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ] made use of social
information to solve the cold-start. They had been successful in proving that social
information contributes to an improved solution to the cold-start problem. Datasets from
Twitter and Facebook are amongst the popular social datasets that are used to solve the
cold-start problem using social information. The social information from social media
platforms have been used to better understand what items a user would be interested in
the e-commerce domain [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] by making use of a matrix factorization to solve the item
cold-start problem. Social information from one social media platform was used to
recommend friends to a user on another social media platform that had no friends [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ] by
making use of a social graph to determine the users to recommend to a user with little
to no friends. In collaborative filtering, social information is used to solve the cold
start problem, by gathering information about the users and use it to infer their
preferences based on the preferences of the users they have socials relationships with [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ],
[
          <xref ref-type="bibr" rid="ref12">12</xref>
          ]. Deep Learning solutions are now being widely adopted in recommender systems,
however they had not been used to directly solve the cold start problem [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]. They have
been widely used to form user and item embeddings. With the cold-start problem being
an open problem that is constantly being worked on, the results achieved so far on using
social information to solve the cold start problem, are proving to be better than the
solutions they are based upon, but nothing much has been done on comparing the
achieved results with state of the art recommender system solutions, such as SVD++..
3
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>Methodology</title>
        <p>
          In order to compare the performance of a community-based deep learning
recommender system solution, a purely deep learning solution, and the SVD++ in solving the
cold start problem, this research adapted concepts from Matrix Factorisation to create
a deep learning solution to recommender systems, and extended the created solution to
develop a community based solution. For the SVD++ the Surprise python package [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ]
was used. Figure 1 shows the experimental setup that was used to compare the solutions
The following subsections describe the SVD++, Deep Convolutional Neural
Network and Deep Community Learning models and their implementations in detail.
SVD++ [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ], a matrix factorization technique, is a state of the art model for building
recommender systems and rating prediction. SVD++ takes as input the set of users and
the items rated and the output from the algorithm was a predicted rating for an item that
a user did not rate. Equation (1) [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ] shows the predicted rating as the summation of the
global mean, user bias, item bias and the dot product of the transposed matrix q for item
i, with the summation of matrix p for user u and user implicit feedback.
where, u is the target user and i is the target item, μ is the global mean of the training
set,   and   are the bias factors.   is the user’s latent factors,   is the user’s bias
1
factor,   is the item’s latent factors,   item’s bias factor, and | ( )|−2 × ∑ ∈ ( ) 
is the user’s implicit feedback.
        </p>
        <p>The users’ latent factors matrix is called the user-concept matrix and items’ latent
factors matrix is called the item-concept matrix.</p>
        <p>3.2</p>
        <sec id="sec-2-2-1">
          <title>Deep Convolutional Neural Network</title>
          <p>It was decided to make use of a deep convolutional neural network architecture over
recurrent neural networks or multilayer perceptron, due to the ability of a convolutional
neural networks to learn latent factors, and optimize towards the desired output.</p>
          <p>
            At the inception of this research, [
            <xref ref-type="bibr" rid="ref13">13</xref>
            ] was the state of the art deep convolutional
neural network model in rating prediction. The deep learning model proposed in [
            <xref ref-type="bibr" rid="ref13">13</xref>
            ]
consisted of two parallel neural networks; one network received user reviews and the
other item reviews, and provided a predicted rating based on the reviews written. This
approach was not suitable for solving the cold-start problem, since it requires both the
user and item reviews to provide a prediction for a given user item pair. Therefore, the
model was modified to a single neural network and included a Dropout layer before the
output layer to prevent overfitting.
          </p>
          <p>Deep Convolutional Neural Network architecture used in this research, as shown in
Fig. 2. The specification of the Deep Learning Architecture is as shown below.
 Input Layer: 2-Dimensional Convolutional Layer
─ Dimension nr x nc, where nr number of rows and nc number of columns
─ Kernel size is 3 with filters of 8
─ Activation Function: Rectified Linear Unit (ReLU)
 Max-Pooling Layer
 Flatten Layer
 Dense Layer returns vector of size 50</p>
          <p>─ Activation Function: ReLU
 Dropout Layer with a dropout rate of 0.5 (50%)
 Output: Predicted rating scaled between 0 and 1,
─ Dense Layer returns vector of size 1
─ Activation Function: Sigmoid</p>
          <p>
            Upon training SVD++ [
            <xref ref-type="bibr" rid="ref6">6</xref>
            ], the resultant user-concept and item-concept matrices
were used to map a user and item to a vector representation of the respective user and
item. SVD++ was trained in order to best predict what item a user would like best. The
user-concept and item-concept matrices were used after training the model to map users
and items. These two matrices have embedded the correlation between a user and item.
It was shown by [
            <xref ref-type="bibr" rid="ref6">6</xref>
            ] that the more latent factors, the better the prediction accuracy but
it comes at a cost of a longer computation time with diminishing improvements.
          </p>
          <p>Key
nf Number of users
ni Number of items</p>
          <p>Lf Number of latent factors</p>
          <p>The Deep Convolution model input, Algorithm 1, consisted of vectors from the
userconcept and item-concept matrices. The input was comprised of the target user’s and
item’s vectors from the user-concept and item-concept matrices respectively.
Thereafter, the next nf rows were the users who were the most similar (Cosine Similarity) to
the target user. They were ranked according to how close they were to 1 and the top nf
user vectors being used. Thereafter, the next ni rows were the items that were the most
similar (Cosine Similarity) to the target item. They were ranked according to how close
they were to 1 and the top ni item vectors being used. The benefit of using a Deep
Convolutional Neural Network over traditional matrix factorization is that as new users
or new items join the recommender system the matrix dimension for each of the
matrices for the matrix factorization algorithm would need to be increased to cater for more
users and items. A Deep Convolution matrices dimension would not need to be
increased, however the vector representation for users and items would need to be
updated as a user rates items.</p>
        </sec>
        <sec id="sec-2-2-2">
          <title>Deep Community Learning</title>
          <p>The Deep Community Learning model consisted of two main components, community
detection and the deep learning components as shown in Fig. 3.</p>
          <p>
            The community aspect of the proposed solution made use of friendship information
to form a relationship between users called a social graph. Thereafter, Multi-Level [
            <xref ref-type="bibr" rid="ref2">2</xref>
            ]
community detection algorithm extracted communities/social networks from the social
graph. Once communities were formed, a deep learning network was created for each
community. A community’s information was passed to an algorithm that formed a link
between each community and their deep learning model.
          </p>
          <p>The two main aspects, community and deep learning, needed to be linked through
some algorithm so that the deep learning aspect could make use of the community
information in predicting a rating for a given user item pair. It was decided to map each
user and item to a vector that best represents the user and item within a community.
SVD++ was ran for each community to get a user-concept and an item-concept matrix
based on the community information. The user-concept matrix consisted of users in the
given community and the item-concept matrix consisted of items found in the
recommender system. This information for each community was passed to the deep learning
component.</p>
          <p>The deep learning model used was a Deep Convolutional Neural Network. It
received as input a data matrix that consisted of the target user vector, target item vector,
most similar users’ vectors, and most similar items’ This information was used to
predict the rating for the target user-item pair. A challenge was that the number of users
per community varied and could be below nf which led to the input matrix for the
convolutional network having empty rows. This was solved by setting the empty rows as
vectors of zeros since a vector of zeros hold no significance as input, they served to
represent empty rows or padding to ensure that the input matrix had the correct
dimension for the network.
4</p>
        </sec>
      </sec>
      <sec id="sec-2-3">
        <title>Experiments</title>
        <p>This section discusses how the experiments were carried out. It gives details on the
dataset used, and how it was pre-processed to showcase the cold-start problem
existence. It also discusses how the models were trained and evaluation metrics used.
4.1</p>
        <sec id="sec-2-3-1">
          <title>Dataset</title>
          <p>The Yelp Academic dataset Round 91 was used. The dataset includes reviews of
businesses and restaurants. The reviews were conducted by users who provide a review and
rating for a business and/or restaurant that they have searched for on the Yelp website.
Since this research focuses on solving the cold-start problem, users who have 1 review</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>1 https://www.yelp.com/dataset/challenge</title>
      <p>
        in the dataset are not discarded as they are key to us ascertaining how well does each
of the compared solution perform in solving the cold start problem. Table 2 shows the
statistics of the dataset used in this research and the evidence of the cold-start problem.
Dataset Sparsity = (Number of missing ratings / Number of expected ratings) %
(2)
The dataset was pre-processed to remove information that was not used by this research
such as user reviews and for the items the information about where the business (item)
was located was removed. The reviews a user had written were removed since it meant
a review would need to be written by a user first in order to predict how well a user
would like an item and due to hardware limitations it was not used to aid in training the
model to be able to better predict what rating a user would give for an unrated item.
Future work would look at using the reviews written by users to reinforce the rating
prediction and recommendation accuracy. Thereafter the dataset was split into 5 equal
parts into order to carry out 5-fold cross-validation more efficiently. Users who did not
have friends are removed. The remaining users who have friends were used to form a
social communities. The Multi-Level community detection algorithm [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] was used to
group users into communities. For Multi-Level community detection algorithm the
python-igraph package [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ] was used. The Multi-Level community detection algorithms
works by making use of a two phase approach and iterating between the two phases
until the modularity measure is maximised. The algorithm starts with each user being a
community on its own. In the first phase an isolated user is moved to a neighbouring
community. The second phase builds a new social network from the communities in
the first phase. The communities which have less than 11 users were excluded from the
dataset used in this research. Since this research focused on the user cold-start where
the user profile exists but they have not rated any items. The community structure
formed was kept as a static community structure for each of the folds.
      </p>
      <p>
        The input for the deep learning model for the Deep Community Learning model and
the Deep Convolution model had a relatively high computational time. The high
computational time was due to the amount of checks involved in selecting the most similar
users and items to the target user and item respectively. Therefore, the solution to this
was to parallelize the input. This was possible by the CHPC [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Algorithm 1 shows the
process of parallelizing the data.
      </p>
      <p>
        The dataset for this research was formed by pruning users who had few friends (11),
the cold-start problem still did exist. A recommender system has the cold-start problem
if the sparsity of ratings is at least 85% [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. The Social Dataset had a sparsity of ratings
of 99.9954% using Equation (2). A lower data sparsity means that the cold-start
problem is less evident, and there may be sufficient information to predict what a user would
like with high accuracy. The information available about a user are their friends. The
information available about a business (item) was the business. The information
available about a review conducted was the user who conducted it, the business it was about
and the rating given.
(3)
(4)
set was used as a validation set. The batch size used was 100, learning rate was 0.002,
and number of epochs was 2. The RMSprop optimizer was used for the Deep
Convolutional Neural Network based models as the optimizer [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ].
      </p>
      <p>The mean squared error (MSE) Equation (3) and mean absolute error (MAE)
Equation (4) metrics were used to evaluate the performance of each of the models. MSE has
the benefit of penalizing large errors, but has the drawback to greatly penalizing
outliers. In this research the max error possible between the true and predicted value was 4,
this prevented any extreme outliers and MSE from growing to be large because of any
extreme outliers. MAE served as a second evaluation metric, since it does not
penalizing the model by being far from the true value and it better describes the average error.</p>
      <p>MSE =
MAE = ∑| 
∑( 
− 


− 
2
)
|</p>
      <p>Experimentation was carried out on the research dataset with users that had friends
listed being considered. To evaluate whether social networks are beneficial and
improve on a deep learning approach. The proposed model was compared against a
noncommunity-based Deep Convolutional Neural Network. The state of the art benchmark
for the cold-start problem is the matrix factorization model SVD++. The comparison
models made use of all the training data from the research dataset. The parameter values
for nf, ni, and Lf are 19, 19 and 50 respectively. The test set consisted of a user and item
with their matching rating, and the community the user fell into. Each review was
considered independent to the next review in the test set and as such it did not alter the
community structure and change the modularity value. MSE and MAE were used to
evaluate the testing error and used as a measure to evaluate how well the models being
compared performed.</p>
      <sec id="sec-3-1">
        <title>Results</title>
        <p>This section presents the results that were obtained from the experiments carried out in
this research and provides a discussion on the results gathered is provided as well as
the shortcomings of the relevant models.</p>
        <p>The comparison between Deep Community Learning and Deep Conv was to
evaluate whether social information enhanced a deep learning recommender system in
solving the cold-start problem. Thereafter, evaluate how well the Deep Community
Learning performs against the state of the art recommender system model, SVD++, in solving
the cold-start problem. As shown in Table 3 and Table 4, SVD++ on average
outperforms Deep Community Learning and Deep Conv at solving the cold-start problem.</p>
        <p>Error
Model</p>
        <p>Deep Community
Learning</p>
        <p>Deep Conv
SVD++</p>
        <p>Error
Model</p>
        <p>Deep Community
Learning</p>
        <p>Deep Conv
SVD++</p>
        <p>User
Cold-Start
2.4015</p>
        <p>The results in Table 3 and Table 4 show that, for the user cold-start problem, social
information improved the deep learning model by achieving a lower MSE and MAE.
SVD++ achieved a lower MSE than both models. For this cold-start problem the
community-based solution performed better than a deep learning model without social
information.</p>
        <p>For the item cold-start problem, it is not clear if the use of social information
improves the deep learning model, since the community-based solution achieved a lower
MAE but higher MSE compared to deep learning model without social information.
SVD++ was found to perform slightly better than the Deep Community Learning and
Deep Conv solutions. For this cold-start problem social information does not provide
evidence as to whether it improves a deep learning model.</p>
        <p>For system cold-start problem, the use of social information improved the deep
learning model. For MSE, SVD++ achieved better than Deep Community Learning,
but for MAE Deep Community Learning achieved a lower error than SVD++. The
system cold-start is the hardest problem to solve for since there is minimal information to
no information available about users and items, and the use of social information to
enhance a deep learning is proving to be useful.
6</p>
      </sec>
      <sec id="sec-3-2">
        <title>Conclusion</title>
        <p>
          The results showed that on average the Deep Community Learning enhanced the Deep
Learning Approach, and grouping users into communities was advantageous. However,
the approach did not outperform SVD++, a state of the art approach for recommender
systems. The enhancement of social information shows promise for improving Deep
Learning models at solving the cold-start problem. This finding is corroborated by other
related work which include [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ], [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ].
        </p>
        <p>Out of the 3 cold-start problems, the use of social information enhanced the deep
learning approach for two of them. Social information achieved lower error values than
deep learning at solving the cold-start problem. The shortfalls of the social information
and deep learning models exist because deep learning models generally have a black
box and pose the challenge of designing the ideal architecture to solve the recommender
system problem and cold-start problem. Future work would look at blending
communities so a user can fall into more than one community. SVD++ was used to map a user
or item to a vector, future work would look at designing a deep learning model to map
a user or item to a vector while forming a correlation between users and items.</p>
      </sec>
    </sec>
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