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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Journal of
Computational Physics</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Reinforcement Learning Approach</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Olga Cherednichenko</string-name>
          <email>Olga.Cherednichenko@khpi.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Maryna Vovk</string-name>
          <email>Maryna.Vovk@khpi.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oksana Ivashchenko</string-name>
          <email>Oksana.Ivashchenko@khpi.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alenka Baggia</string-name>
          <email>alenka.baggia@um.si</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nataliia</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>E-commerce, Item Searching, Item Similarity, Core of Tags</institution>
          ,
          <addr-line>Reinforcement Learning</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>National Technical University “Kharkiv Polytechnic Institute”</institution>
          ,
          <addr-line>2, Kyrpychova str., Kharkiv, 61002</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>University of Maribor</institution>
          ,
          <addr-line>Kidriceva cesta 55a, Kranj, 4000</addr-line>
          ,
          <country country="SI">Slovenija</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2020</year>
      </pub-date>
      <volume>2732</volume>
      <issue>13</issue>
      <fpage>06</fpage>
      <lpage>10</lpage>
      <abstract>
        <p>Item searching on trading platforms is a real challenge nowadays. The number of product offers on the trading platforms is significantly more than real goods. It increases the searching space for a customer and complicates the procedure of a product choosing. Often customers don't know for sure which particular sample of the product they need. They compare specific features among similar products, chose the item, and then compare pricing and shipping. For simplifying the buying process in the e-commerce market we propose to combine similar product offers from different sellers into groups and provide customers with groups of similar items. We propose an approach, which allows grouping product offers based on the pre-trained core of tags and reinforcement learning technique. The core of tags is built for each group of similar items by processing text descriptions of similar items. The suggested model builds a search query by combining words from the core of tags in order to receive the relevant list of similar items and propose a reference item of the group. As experiments have shown similar products from the e-commerce platform can be easily found if the core of tags for a group is known. The successful results significantly depend on the e-commerce platform, where the core of tags was obtained. It can significantly reduce the search space and alleviate the process of choosing a commodity.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Experiment</p>
    </sec>
    <sec id="sec-2">
      <title>1. Introduction</title>
      <p>Lately, we have seen significant growth in online shopping. The quantity of online purchases has
been raised significantly. And there are a huge number of offers trying to meet demand. It is quite
challenging for a buyer to find the appropriate product and the best proposition.</p>
      <p>In this study, we focus on the issue of simplifying the process of product choices for customers.
We are working on building a system, which can assist an ordinary customer with choosing the
product. In general two options are possible. The first one is when a customer knows exactly what
kind of product can satisfy his demands. The task here is to find the best offer among a huge amount
of e-market sellers. In that case, the issue is solved by means of information retrieval tools. The
second option is when a customer has an unsatisfied demand, but he doesn’t know what product with
a certain set of attributes can solve a problem. In that case, he faces the obstacle in an overwhelming
quantity of propositions. We want to develop an algorithm that can reduce the searching space for a
customer. We should simulate human behavior. Observing the real humans behavior we will try to
copy it. The system should accept the environment and react respectively.</p>
      <p>2021 Copyright for this paper by its authors.</p>
      <p>For a customer who can’t distinctly describe the product, it is important to reduce the offerings on
one’s searching request. Some sites give an opportunity to limit the offerings. The fewer quantity of
offered products the easier for a customer to process them and the more they meet the searching
request.</p>
      <p>The task of our system is to process product descriptions and to collect the keywords in order to
build the core of key attributes. All close products have certain similar words for their presenting.
Comparing picture as humans do it is an insuperable point for artificial systems now. Thus we suggest
working with product descriptions given by sellers. Receiving offerings we should check whether
they meet customer requirements. As a result, a set of keywords that describe product attributes is
developed. Then each product description should be estimated on similarity to the core of tags. The
most appropriate product is chosen as the standard of comparison. The product descriptions of further
offerings on similar searching requests are assessed for proximity to chosen ones as a standard of
comparison. Initial request searches for similar groups of products. Then if we specify the searching
request with some word it reduces the offering. So we can group similar products and receive
significantly reduced offerings.</p>
      <p>The aim of the paper is to combine similar product offers from different sellers on the e-commerce
website into groups based on the pre-trained core of tags and reinforcement learning technique.</p>
      <p>The rest of the paper is organized in the following way. Section 2 substantiates the problem
statement and reviews the research in the given field. The proposed approach based on Reinforcement
Learning is given in section 3. Results of the experiment are presented in Section 4, and the
conclusion is discussed in Sections 5.</p>
    </sec>
    <sec id="sec-3">
      <title>2. Related works</title>
      <p>E-market sellers are constantly adjusting product descriptions to improve their visibility. It’s quite
widespread that information given by different sellers to the same product is complementary and even
contradictory. E-commerce vendors could give irrelevant information unintentionally or deliberately
in order to enhance chances to meet customers' requests. A search engine retrieves the product offers
as a user’s expectation.</p>
      <p>
        The product matching problem is raised by researchers. The functional similarity of products is
assessed by comparing their attributes [
        <xref ref-type="bibr" rid="ref1 ref4">1, 4</xref>
        ]. There is a drawback in such an approach. It perfectly fits
products with a strongly defined set of technical characteristics, but it fails with products, which are
described in freestyle. The product classification is set up on regular expressions. Matching relies on
the semantic processing of items description [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. A match function estimates all matches and
mismatches in attribute values for products and identifies if the attribute value is missed or
mismatched. Product matching is directly regarded as a semantic text matching problem and proposed
a pre-trained matching model based on both self- and inter-ensemble [
        <xref ref-type="bibr" rid="ref8">8, 9</xref>
        ]. The transformer-based
approach for textual product matching and extend it with a CNN for product classification is given
[
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. The analysis of existing frameworks for entity matching is provided in [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. The paper [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] presents
the design of a system for mining the Web of HTML-embedded Product Data, Product Matching and
Product Classification. The developed system aggregates the results of the various state of the art
pretraining models to resolve the identical products. The given system hasn’t given product description
and price.
      </p>
      <p>
        For receiving the most complete and relevant data about existing product characteristics and their
prices, it is necessary to gather a massive amount of data in a very short time. It can be satisfied only
through the parallelization of retrieval tasks. This approach requires hundreds of servers and an
Internet connection with exceptionally high broadband. This way is highly expensive. Paper [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] deals
with Web data extraction technology applied to online market intelligence Lixto provides OMI
services to various clients, especially in the areas of retail. Cloud computing is proposed for peaks
instead of the servers, which are idle between successive runs but would require maintenance. For the
task solving of big collections construction for product specifications from web pages, the DEXTER
is proposed [12]. The techniques to discover, crawl, detect and extract product specifications were
proposed. The automatic discovery of new categories built on the navigation structure of the product
websites isn't available so far.
      </p>
      <p>There are a lot of researches devoted to the problem of categorizing a large number of objects.
Existing applications for solving this problem, including image classification and product
categorization, are unreliable. An approximation algorithm was developed [13], and Experiments
proved on a real crowdsourcing platform demonstrate the effectiveness of the method.</p>
      <p>We have already worked on a problem of reduction searching space for customer of e-commrce
trading platform. The issues of product matching and clusterization were considered. For improving
the process of product searching we have built a core from the tags of the items that have been
acclaimed as similar by the experts based on images comparison [9]. The method proposed was
proved to be suitable for constructing the core for sneakers. The combining analysis of both item
description and item image in order to construct groups of similar items is suggested. If humans can
define whether two products are similar or not taking a look at two images and a product description,
so it was formed a set of similar products based on customers’ judgments and core of keywords was
built. Studying available propositions it is learned, that they have disadvantages and don't offer the
cross functional approach to solve the studied task.</p>
      <p>We have worked on a data set, which could be tagged according to customer estimations [10]. We
suggest using crowdsourcing for tagging item images. The mobile application is developed for
multiplying sampling. The simplicity of mobile application allows using it by a diverse people
population. The application can be used just for fun and bring social benefits. An increasing amount
of tagged pictures permits to investigate customer perception, which also depends on age and sex.</p>
      <p>In order to reduce searching space we suggest an approach, which combines grouping product
offers based on the pre-trained core of tags and reinforcement learning technique. Deep
Reinforcement Learning has lately broadly used in a range of domains within physics and
engineering, with multiple remarkable achievements. The research [14, 17] has shown that an
artificial neural network trained through Deep Reinforcement Learning is able to generate optimal
shapes on its own, without any prior knowledge and in a constrained time. To solve the algorithmic
trading problem to ensure the optimal trading position at each time point during a trading activity an
innovative approach based on deep reinforcement learning is used. The training of the resulting
reinforcement learning agent is entirely based on the generation of artificial trajectories from a limited
set of market historical data [15]. Reinforcement learning is employed to optimize the model for the
purpose of maximizing long-term recommendation accuracy [16].</p>
      <p>Therefore, in this paper, the task of improving item searching is investigated under research how
response information from e-commerce websites could clarify the item query and increase the
accuracy of proposed items.</p>
    </sec>
    <sec id="sec-4">
      <title>3. Methods and materials</title>
      <p>Nowadays Reinforcement Learning has seen many successful applications in wide areas. This
approach gives such benefits as a safe simulated environment for experimenting, infinite numbers of
iterations to learn an optimal behavior, and implementation of experience to solve tasks successfully.</p>
      <p>Reinforcement learning is one of the methods of machine learning, during which an agent learns
by interacting with some environment. We can say that, from the point of view of cybernetics,
reinforcement learning is a type of cybernetic experiment. Reinforcement signals are the response of
the environment to the decisions made, therefore, such learning is a special case of teaching with a
teacher, but the teacher is the external environment or its model. The agent acts on the environment,
and the environment acts on the agent. Such a system is said to have feedback. Such a system should
be considered as a whole, and therefore the dividing line between the environment and the agent is
rather arbitrary.</p>
      <p>In our task, the agent interacts with the marketplace by sending a search request. The response of
the environment, the site of the marketplace, is a list of items that match the search query. The agent's
goal is to get the most complete and accurate list of items that can be combined into one product
group but differ in the characteristics of the offers (price, size, color, shipping, etc.). By interacting
with the site of the marketplace, the agent can change the content of his search query. This allows him
to get different versions of item lists. These lists can contain from a few items to tens of thousands,
which complicates their processing. Therefore, the agent's goal is also to reduce the size of the list of
items responded to a search query.</p>
      <p>Let's define  as a set of groups of items. Let's define   as a set of attributes, which describe the
 -th group of items. So, every   -th item can be presented as a tuple of attributes</p>
      <p>= 〈  1,   2, … ,   〉,
where   ,  ∈   ,  ∈   ,  ∈  , is a linguistic variable whose value corresponds to  -th attribute of 
th group. Notice that   is a word or phrase, as well as it can have the null value. We consider the
case when the item is described by its title. Let's imagine that we have an ideal item represented by
the tuple  ∗ . We need to compare the ideal item to every item from the website and find the group of
similar items. The main challenge is how to estimate the similarity of items from the website. We
suggest to model the searching as a reinforcement learning procedure. Let's define the initial state as a
state where the ideal item is represented by the core of tags. The core of tags can be predefined, for
example, according to algorithm from [9]. Therefore we have the ideal item which is presented as
 ∗ = 〈 1, … ,   〉, where   is a tag. From the other side we have the set of items from the website.
Every item corresponds to its representation   . The similarity metric is not define, but we have a
chance to receive the website response to our query. We apply the set of tags from the core to
complete the query. The response reflects the similar items from the website point of view and
performs the unknown estimation function.</p>
      <p>On the next step, we can evaluate item matching. Some simple steps should be done. Firstly, we
parse item titles from the response. Secondly, we measure the similarity of attributes. Thirdly, we
evaluate accuracy of item matching. The reward function defines the dependency between an
accuracy and values the attributes of ideal item. In addition, we need take into consideration the
amount of items in the response. Actually, we do not know how many items, which similar to the
ideal item are on the website.</p>
      <p>The optimal amount of items responded by the website, which is denoted  , can be find by
experimenting with queries. Note that the ideal item description should be change in order to reduce
or increase the value  . Therefore, to obtain the appropriate item group we need to change the values
of the ideal item attributes in order to meet the optimal amount of the group  , as well as high
accuracy of item matching. To achieve the goal we need to interact with website. The general scheme
of proposed approach is presented in the Fig. 1.</p>
      <p>Therefore, we suggest using the agent which can build the set of attributes, push the query to the
website, receive the response, evaluate the item matching and amount of items, and change the initial
attribute values. In order to estimate the way suggested we do the experiments with three websites
(eBay, Amazon, and AliExpress) and apply the core of tags from [9] as the initial state. The next
section describes the experiments and results.</p>
    </sec>
    <sec id="sec-5">
      <title>4. Experiments and results</title>
      <p>We have core words for items, which have been identified as similar. List of these words and two
examples of similar items (photos and description) are shown in Figures 2-4 respectively.</p>
      <p>We have decided to fulfill several experiments to estimate usage of core words for searching
similar items on three online platforms such as EBay, Amazon and Aliexpress. Searching is done for
all categories items on these platforms herewith in each experiment we use different core words set
(quantity, order). The conditions of manual searching are shown in Table 1.</p>
      <sec id="sec-5-1">
        <title>EBay</title>
      </sec>
      <sec id="sec-5-2">
        <title>Amazon</title>
      </sec>
      <sec id="sec-5-3">
        <title>Aliexpress</title>
        <p>We have faced restrictions for the number of words in the search line on Aliexpress while
performing experiment 1 and experiment 2. The length of the search line is only 50 symbols it is
about seven core words. So experiment 1 and experiment 2 are not enabled to fulfill on Aliexpress.
This restriction influenced using sets from 5-7 core words in other experiments.</p>
        <p>During experiment 1 and experiment 2 we use all core words to search similar words on eBay and
Amazon, only in experiment 2 we change the core words' order. In all cases, we obtain negative</p>
        <p>Core words sets
leather white comfort low shoes fitness summer
trainers toe sports basketball school outsole skate
shoes fitness trainers leather white comfort low
sports basketball school summer toe outsole skate
leather white comfort low shoes fitness</p>
        <p>leather white shoes fitness summer
leather white trainers toe sports basketball</p>
        <p>leather white shoes school outsole skate
white comfort low shoes fitness summer trainers
leather shoes fitness basketball outsole skate
shoes fitness trainers leather white comfort
shoes trainers sports comfort white leather</p>
        <p>shoes low comfort trainers leather white
shoes leather fitness trainers sports basketball</p>
        <p>fitness comfort white leather summer toe
sports toe trainers summer shoes white leather
0
0
43981
82731
2171
69
82
50
62
190
193
19
2
7
0
0
286
724
504
183
154
17
618
2000
2000
86
112
843
107
429
16
0
13
0
72
60
30
35
4
2
results - "no matching". However, results are different for these online platforms. On eBay, we obtain
0 "exact matching results" for all core words but it proposes some results for matching fewer words
and these results of searching are some shoes. The results of experiment on eBay platform are shown
in Figure 5.</p>
        <p>On Amazon, there is no searching result using all core words and it is recommended to use fewer
words - sets of three key words, however, results of these queries are not successful regarding to our
aim. There are some results of experiment 1 and experiment 2 on Amazon platform in figure 6.</p>
        <p>We can observe from the Ttable 1 that search results are very different for each platform and
different sets of core words (experiments). There is difference not only in numbers of results but also
in content of these results.</p>
        <p>First of all, we can see that numbers of search results on Aliexpress are less than on eBay and
Amazon. Analysing content of these results we face to the fact that, in the most experiments, obtained
items do not match with our target item (Figures 7-8).</p>
        <p>However, the best result is achieved in experiment #9 (set of core words - "shoes fitness trainers
leather white comfort"): from 72 obtained items 33 items match our target item (Figures 9-10).</p>
        <p>In these figures we can see photos of some items which are different from our target item,
however, in some cases there are several models in different colour including white colour
(Figure 11), in another cases there is word "white" in description (Figure 12). In other experiments
and on other online platforms we face to parallel instances: there are several models in different
colours; there is word "white" in description and it can be mistake or there is white colour in some
detail of shoes.</p>
        <p>The results of searching on Amazon platform much better than on Aliexpress but in this case we
face to searching noise. There are a lot of items which are not matched with our target item in each
experiment on Amazon platform. We obtained the best result in the experiment #10 (set of core
words - shoes trainers sports comfort white leather) and some results are depicted in Figure 13. We
obtained 2 000 items: approximately 30% are matched to our goal item and unfortunately though
there is a lot of noise in this result like in results of other experiments. Also such huge quantity of
found items is not good result because our goal is making easy searching process for customers but
when customers using core words obtain many items it will confuse them.</p>
        <p>Finally, experiments' results obtained on eBay are characterized by two features. The first one is
our results are cleaned from different searching noise - we obtain only shoes using our core words.
However, these items are not always matched with our target item. The second one is the bigger
numbers of successful experiments in comparison with Amazon and Aliexpress. The best results we
got in the experiment #4 (core words - leather white shoes fitness summer) and the experiment #10
(core words - shoes trainers sports comfort white leather). In these experiments, we obtained the
bigger number of matched items; however, in the results of the experiment # 4we obtained 82731
items that reduces the value of this experiment. Some results of the experiments #4 and #10 are
depicted in Figure 14.</p>
        <p>Thus, we can tell that the best result we obtained using core words “shoes trainers sports comfort
white leather”. The experiment results also have shown that products from the e-commerce platform
can be found if the core of tags for a group is known. The successful results significantly depend on
the e-commerce platform, where the core of tags was obtained.</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>5. Discussion and conclusion</title>
      <p>E-Commerce has influenced significantly online product search. There are a lot of scientific works
are devoted to simplifying the search for the desired product. Nevertheless, there is still a meaningful
gap between the commodity that consumers want to acquire and the relevance of goods that are
suggested in response to the search query. In order to define if two proposals relate to the same
commodity some approaches suggest extracting a set of item attributes from the web pages and
comparing these attributes using a matching function [18]. To discover eventually multiple products
present in the response for the search query on e-commerce platform along with their relevant
attributes, and leveraging the entire title and description text for this purpose the new idea researches
are struggling.</p>
      <p>A novel composition of sequence labeling and multi-task learning as an end-to-end trainable deep
neural architecture is proposed [19]. For attribute extraction, researchers join together lexical, word
embedding, and dictionary features to learn the attribute using joint extraction model. They use the
supervised learning technique using CRF algorithm [20]. It is quite difficult to identify equal
commodities on multiple e-commerce platforms because the description for a particular product can
be different. The neural matching model is also widely used [21, 22] to combine product titles and
attributes descriptions. The existing approaches for product searching and matching have some
drawbacks: they include offers from a narrow range of trading platforms and thus do not appropriately
cover the diversity that is found on the Web. They give a small number of common product attributes
and cannot be used to assess if exact product attributes have been properly extracted from textual
product descriptions.</p>
      <p>Thus, we suggest using the agent approach, which allows developing a set of attributes, push the
search query, receive the response, assess the item matching and its number, and vary the initial
attribute values. The suggested model builds a search query by merging words from the core of tags,
so we can obtain the relevant list of similar products and propose a reference item of the group. The
experiments indicated that a group of similar commodities can be generated, but the successful results
substantially depend on the e-commerce platform, where the core of tags was made.</p>
    </sec>
    <sec id="sec-7">
      <title>6. References</title>
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