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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Classification of Mobile Price Using Machine Learning</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Nisha Sunariya</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Avinash Singh</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mehtab Alam</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vibha Gaur</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Computer Science, Acharya Narender Dev College, University of Delhi</institution>
          ,
          <addr-line>New Delhi-110019</addr-line>
          ,
          <country country="IN">India</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>It's critical to comprehend predicted and forecasted prices to develop a successful consumer strategy. The market performance of a product depends on proper pricing. The goal of this research is to determine a pricing range for mobile phones based on specifications including storage, display, battery life, RAM, camera, and more. It would assist consumers in making informed decisions when buying a phone that suits their needs and budget. Making the best choices might be difficult with so many resources at hand. A model that offers guidance using important aspects of mobile phones was developed to deal with this problem. To classify and estimate the price range of a mobile phone, this study maneuvers five machine learning (ML) techniques: Support Vector Machine (SVM), Random Forest (RF), Decision Tree (DT), Logistic Regression (LR), and K-nearest neighbors (KNN). The models are trained to create outcomes that fall into the low, medium, high, or extremely high categories. The data for this paper was obtained from Kaggle.com. The findings are assessed to achieve the highest level of precision while choosing the most desired features of mobile phones. The findings of this research will have practical implications for both consumers and manufacturers. Consumers can make informed decisions based on the identified influential features, considering their preferences and budget constraints. Manufacturers can use the insights to optimize product offerings, emphasizing features that contribute significantly to higher price ranges. This strategic alignment can enhance market competitiveness and consumer satisfaction. This paper also identifies the best option with the most features of mobiles at the lowest price.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Support Vector Machine (SVM)</kwd>
        <kwd>Mobile Price</kwd>
        <kwd>Random Forest (RF)</kwd>
        <kwd>Decision Tree (DT)</kwd>
        <kwd>Logistic Regression (LR)</kwd>
        <kwd>and K-nearest neighbors (KNN) 1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Pricing is the most beneficial characteristic in business and marketing. A decision
regarding pricing regulations has significant effects on management. It establishes the profit
margin on products and is one of the first assessments made by many purchasers. Before
making a purchase, consumers are indeed concerned about whether they can afford the
item and want to verify the price. The success of a product can be affected by a variety of
elements, including pricing, product appropriateness, return rates, and profitability [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
This study takes the first step towards achieving this objective. The main aim of this paper
is to identify the most reliable and appropriate ML classification model for the classification
of mobile phone prices. The motivation for this paper stems from the challenges faced by
individuals unfamiliar with machine learning while purchasing a mobile phone. It's often
difficult for them to discern the crucial features influencing the phone's price. Instead of
predicting the exact price, the focus is on establishing a price range that reflects the overall
pricing level and identifies the dominant features affecting mobile phone prices. This
research adds value to discussions on pricing strategies, consumer decision-making, and
the application of machine learning in predicting product prices, offering insights applicable
across diverse industries.
      </p>
      <p>
        Machine learning is a pathway to Artificial Intelligence (AI) [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. The most recent AI
technologies, such as classification, regressions, and supervised and unsupervised learning,
are accessible through machine learning [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Data analysis and visualization can be aided by
a variety of ML tools, such as MATLAB, Python, Cygwin, and others. The categorization of
data using ML algorithms is very likely to yield accurate results [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].
      </p>
      <p>
        A mobile phone, sometimes called a cell phone, portable phone, or phone, uses radio
frequency links to place and receive calls [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Human’s daily lives have become completely
dependent on our mobile devices, which keep us linked and even come in handy in crises.
With smartphones currently outpacing older mobile devices in usage, mobile phones have
grown to be one of the most widely used consumer products ever created [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. New mobile
phone models with improved features are released every year. A mobile price class
prediction model is essential for making the optimum product choice. Additionally, this
model can be used to examine pre-owned cars, generators, gold, food, medicines,
residences, and many other items.
      </p>
      <p>
        Several aspects are important to consider when estimating a mobile device's price.
These consist of the device's CPU type, battery life, and capability to set reminders for
significant occasions. The device's dimensions and weight are frequently crucial factors for
users. Several criteria, such as the amount of internal memory, the quality of the touch
screen, the pixel size, and the amount of RAM, affect a mobile device's pricing [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. This study
divides mobile devices into four price ranges based on a variety of features and
specifications: low, medium, high, and very high. These price ranges help in consumer
decision-making, competitive pricing, and budget planning. Price ranges can be used as
indicators of economic conditions.
      </p>
      <p>This paper is divided into multiple sections. Section 2 provides information on the
background work related to this work, while Section 3 briefly defines various prediction
models used in the study. The methodology approach and the findings of experimental
prediction are presented in Section 4. The conclusion and future directions are provided in
Section 5.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Background Work</title>
      <p>
        This section describes the findings on projecting and estimating the cost of various
goods. Sameer Chand-Pudaruth projects the price of used cars in Mauritius. This study
discovered that Nave Bayes and DT are ineffective at managing, categorizing, and
forecasting numerical values because there were fewer occurrences and incredibly low
prediction accuracy was reported [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. M. Asim and Z. Khan [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] forecasted the price of mobile
phones. They strived to have the most accurate predictions while maintaining the lowest
cost and highest feature model. Using the DT, 78% accuracy was obtained.
      </p>
      <p>
        Due to the lack of characteristics and algorithms, extremely low prediction accuracy was
observed. Menghan Chen [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] predicted the prices of smartphones with fewer features.
Principal Component Analysis (PCA) and Pearson's correlation were used as two feature
reduction techniques. Without using any feature reduction approaches, Multi-Layer
Perceptron (MLP) had a 92.84% accuracy rate. However, accuracy suffered as features were
reduced, falling to 93.22% for the top 15 and 34.06% for the top 5.
      </p>
      <p>
        K Noor and Sadaqat J [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] predicted the automobile prices using multiple linear
regression. They projected prices from independent variables such as the vehicle's model,
make, city, version, color, mileage, alloy rims, and power steering.
Kuo
      </p>
      <p>
        Kun Tseng et al. [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] worked on foretelling e-commerce goods prices using online
sentiment analysis. They developed a price prediction algorithm after analyzing news that
had an impact on product prices. Aidin Zehtab-Salmasi et al. [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] developed a Multimodal
Price Prediction for mobile phone pricing based on its specifications.
      </p>
      <p>
        Neural networks are more accurate in estimating a house's price, according to
Limsombunchai's research [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]. This study offered strong support for prediction
superiority without comparing the forecasting abilities of the of hedonic price model and
Neural Networks. A smartphone app for stock prediction was created by Abidatul Izzah et
al. utilizing enhanced multiple linear regression [15]. Their mobile app's accuracy forecast
outperformed the traditional method.
      </p>
      <p>Al-Dhuraibi et al. predicted the price of gold. They predicted whether the price of gold
would rise or go down in the future with the help of various ML models. They found that
only the K-NN algorithm had an acceptable performance with an accuracy of 60.26% [16].
Mohapatra et. al. predicted the possibility of having breast cancer in a woman using various
ML algorithms. They achieved the highest accuracy of 98.7 % using the XGBoost model [17].</p>
      <p>While existing studies have explored mobile price prediction using machine learning, a
notable gap persists in addressing the needs of non-expert consumers struggling to discern
crucial features influencing mobile phone prices. Most research has focused on predicting
exact prices, neglecting the practical challenges faced by consumers unfamiliar with
machine learning intricacies. Our study uniquely addresses this gap by concentrating on
establishing a price range rather than exact figures, providing consumers with a more
accessible understanding of pricing levels. Additionally, we aim to identify and highlight the
key features influencing mobile prices, offering a user-friendly perspective. By doing so, our
research contributes to making mobile price prediction more transparent and
consumercentric.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Prediction Models</title>
      <p>This section provides an overview of the prediction models used in this study to predict
the pricing of mobile phones depending on their features. A basic explanation of the models
is given below.</p>
      <sec id="sec-3-1">
        <title>3.1. Decision Tree</title>
        <p>It is a tree-like model where an input is processed through a series of decisions based
on features, leading to a predicted output. Decision trees are easy to understand and
interpret, making them particularly valuable in various applications [18]. The decision tree
makes predictions by asking a series of questions about the input features and eventually
reaching a leaf node that provides the predicted outcome. Decision trees find applications
in various fields, aiding in classification and regression tasks [19].</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Logistic Regression</title>
        <p>Logistic regression, also referred to as the logit model, is a statistical technique used to
determine the probability of an event occurring based on a group of independent variables.
This method is particularly helpful for determining the correlation between the target
variable and one or more other variables. Logistic regression is often employed when
dealing with categorical dependent variables. However, the model may be vulnerable to
overfitting when numerous predictor variables are present [20].</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. K-Nearest Neighbour (KNN)</title>
        <p>The KNN algorithm is considered non-parametric due to its lack of assumptions
regarding underlying data. Instead, it relies on the similarity between existing and new data
to categorize new cases. During the training phase, the algorithm simply stores the available
data and classifies new data or cases based on a similarity measure. The classification of
data points is based on how their neighbours are classified [21].For each proceedings
volume published with CEUR-WS, the titles of its papers should either all use the
emphasizing capitalized style or the regular English (or native language) style. Check with
the editors of your volume which style you should adopt.</p>
      </sec>
      <sec id="sec-3-4">
        <title>3.4. Random Forest</title>
        <p>This classification system uses multiple decision trees on different data sets to improve
prediction accuracy. This classifier uses bagging, which involves training many models
using distinct subsets of data, as opposed to depending just on a single decision tree [22].
The outcome is determined by combining the results of all the models and using the
majority vote approach [23].</p>
      </sec>
      <sec id="sec-3-5">
        <title>3.5. Support Vector Machine</title>
        <p>The SVM model is useful for solving both classification and regression problems [24]. It
is widely used in tasks involving machine learning classification. The major goal of this
strategy is to locate the best decision boundary for a group of points that belong to the same
class [25].</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Experiment</title>
      <p>This section outlines the proposed procedure used in the experiment carried out for the
investigation. Figure 1 describes and illustrates the essential phases of the procedure.</p>
      <sec id="sec-4-1">
        <title>4.1. Data Collection</title>
        <p>The data set for this paper was obtained from Kaggle.com [26], and it includes details
like battery life, CPU speed, weight, RAM, and other factors of mobile phones. The dataset
comprised 2000 instances and 24 attributes of mobile phones. A sample of the distinct
values from the used data set is shown in Figure 2. The characteristics used in the proposed
study are explained below.</p>
        <p>Battery Power: The battery's power output directly affects how long it can be used.
A battery with a higher capacity will be able to hold more energy and function for a
longer period of time. It is expressed as mAh.</p>
        <p>Clock Speed: The number of cycles completed by a CPU in a second defines clock
speed.</p>
        <p>Dual Sim: It permits the use of two unique sims in the same device.
iv.
v.
vi.
vii.
viii.</p>
        <p>ix.</p>
        <p>Four_g: It defines the generation of mobile network connectivity.</p>
        <p>Internal Memory: The amount of data storage that is available on the phone's drive.
It is measured in gigabytes.</p>
        <p>Front Camera (FC): It indicates whether or not the smartphone has a front camera.
The resolution of FC is measured in megapixels.</p>
        <p>Bluetooth (blue): It indicates whether or not the mobile phone has the Bluetooth
feature.</p>
        <p>Mobile weight: It stands for the weight of cell phones. Nowadays, consumers prefer
using lighter phones.</p>
        <p>Mobile depth: It reflects the thickness of a mobile phone in millimeters.</p>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. Dimensionality Reduction</title>
        <p>It gets harder to construct a training set and use it efficiently as the number of
features/attributes rises. In the initial stage of dimensionality reduction, attributes with
missing values were examined and their average or mean was substituted by eliminating or
including rows. The dataset initially contained 2000 rows across 21 columns, but after
preprocessing, it was discovered that the attribute "mobile depth" cannot have a value lower
than 0.6mm, thus it was removed. Additionally, two entries had "pixel height" values of 0,
which was unacceptable. To choose the most relevant feature from the initial collection, the
feature selection approach was used. This involved removing any unimportant, irrelevant,
or distracting information [27]. In addition to model accuracy, understanding the
importance of individual features in predicting mobile phone prices is crucial. Feature
importance analysis provides insights into which characteristics significantly contribute to
the pricing model. This analysis can guide manufacturers and consumers in recognizing key
attributes that influence the cost of a mobile device. Therefore, the final dataset was
reduced to 1998 rows and 20 columns and divided the data into two parts i.e. training data
and test data.</p>
        <p>Furthermore, the correlation was chosen because it makes it clear how variables relate
to one another, making it straightforward to forecast one variable using data from another.
In the realm of mobile phones, it is often observed that there exists a strong correlation
between features. By utilizing these features as input data, it is possible to draw inferences
regarding the target variable. It will be easy to forecast one variable using data from another
if there is a strong correlation between the variables [28]. The correlation between camera
specifications and price range is shown in Figure 3. and emphasizes the importance
consumers place on mobile phone cameras. Higher megapixel counts and advanced features
contribute to higher pricing, reflecting the growing significance of photography in
consumer choices.</p>
        <p>In this paper, the highest correlation was found between the following attributes:
1. pc and fc, which represent the primary and front camera in pixels respectively.
2. 3G and 4G, which represent the generation of the mobile phone respectively,
3. px width and px height, which represent the pixel width and height respectively.</p>
      </sec>
      <sec id="sec-4-3">
        <title>4.3. Classification</title>
        <p>Classification is a machine learning technique that is frequently applied in the context
of supervised learning. It involves leveraging labeled training data to distinguish unique
values and classify new observations into specific categories. It classifies unknown items
according to what it has learned from the dataset and assigns them to particular classes. A
dataset with labels is necessary for classification, and both the labeled training set and the
corresponding test set are used for testing. To establish the relationship between actual and
expected values, accuracy score, precision, recall, and F1-score were employed in the study
and are explained below. Precision, recall, and F1-score provide a more detailed evaluation
of model performance, especially in multi-class classification scenarios. Precision measures
the accuracy of positive class predictions, recall measures the ability to capture positive
instances, and F1-score balances both precision and recall.</p>
        <p>Accuracy is a metric that measures the correctness of the model's predictions
compared to the actual outcomes. It is often used in classification problems, where the goal
is to assign a label to each instance from a set of predefined labels.</p>
        <p>TP + TN
Accuracy =</p>
        <p>+  +  + 
TP - true positives
FN - false negatives
TN - true negatives
FP - false positives.</p>
      </sec>
      <sec id="sec-4-4">
        <title>4.4. Data Analysis</title>
        <p>2 X Precision X Recall
F1 Score =</p>
        <p>+</p>
        <p>These metrics are utilized to compare the performance of the machine learning models
employed in the study. The SVM model achieves highest precision, recall, and F1-score
among the ML algorithms studied in this work reinforcing its effectiveness for prediction.</p>
        <p>The analysis of the findings is presented in this section.</p>
      </sec>
      <sec id="sec-4-5">
        <title>4.4.1. Distribution of battery power by price range</title>
        <p>Figure 4 illustrates how battery life affects a mobile phone's pricing range. The price of
the mobile phone is represented by the Y-axis, while battery life is displayed on the X-axis.
With the use of the distribution indicated, mobile phones can be divided into low, medium,
high, and extremely high categories. Higher battery capacity often leads to higher pricing,
aligning with consumer expectations for longer-lasting devices.</p>
      </sec>
      <sec id="sec-4-6">
        <title>4.4.2. Distribution of clock speed by price range</title>
        <p>The relationship between a mobile device's price with clock speed is depicted in Figure
4. X-axis shows the price while clock speed is displayed on the Y-axis. It facilitates the
classification of the test data set into low, medium, high, and extremely high categories that
are provided. Faster processors generally contribute to higher-priced smartphones,
catering to consumers seeking high-performance devices. Similarly, the price range of
Internal memory (measured in gigabytes) is also computed as it which plays a significant
role in pricing. Devices with larger storage capacities are positioned in higher price ranges,
addressing the demand for increased data storage.</p>
      </sec>
      <sec id="sec-4-7">
        <title>4.5. Results</title>
        <p>This research work obtained substantial accuracy rates and supplied pertinent
confusion matrices for reference after thoroughly examining numerous machine-learning
models. The outcomes have been compared and evaluated with great attention. The
distribution of attributes in this article is divided into two types depending on categorical
or numerical values. The results 0, 1, 2 and 3 show the range of prices for mobile phones:
where 0 denotes low-range mobile phones,
1 denotes medium-range mobile phones,
2 denotes high-range mobile phones, and
3 denotes very high-range mobile phones, respectively.</p>
        <p>The price range for mobile devices is shown in Figure 5. Price prediction falls into the
low, medium, high, and very high categories when considering all of the features of mobile
devices.</p>
        <p>The SVM model works best for classification problems. SVM may incorrectly classify
some examples in the training set, but it aims to create a model that is sufficiently generic
to provide accurate predictions for new data. Based on how well the model performed on
the test dataset, its accuracy was determined. The data needed to be trained in order to
construct the RF. This model learns from training data and uses more training data than
testing data. In contrast, testing data was utilized to compare the trained model to the
predicted dataset. The RF model constructs numerous trees on various sub-samples,
choosing the best feature from a random group of features. It uses the average to increase
the prediction accuracy and reduce overfitting. The DT produces a set of rules from the
given set of labeled data that are further used to classify the data. The accuracy of the SVM
model was obtained as 98 percent, whereas the accuracy of the RF model was 88.8 percent.
The decision tree's accuracy was 80.5 percent, compared to 82.6 percent for K-NN and 85.5
percent for LR. The accuracy, precision, recall, and F1-score for each of the five strategies
are presented in Table 1. The accuracy scores of the five strategies examined in the paper
are compared in Figure 6. The graph used to display learning progress is referred to as the
learning curve. Learning curves illustrate the performance of models concerning the size of
the training dataset. Examining learning curves helps identify underfitting or overfitting
issues and provides insights into the model's stability and generalization capabilities.
100
95
90
85
80
75
70
98
SVM</p>
        <sec id="sec-4-7-1">
          <title>Accuracy Score</title>
          <p>88.8
80.5
82.6</p>
          <p>The learning curves for all five ML techniques are shown in Figure 7. It shows
consistent improvement with increasing data size, indicating that the models ben-efit from
larger datasets. SVM maintains a consistently high level of performance throughout,
indicating its robustness.</p>
        </sec>
        <sec id="sec-4-7-2">
          <title>LEARNING CURVE</title>
          <p>SVM
Decision
Tree
Random
Forest
K-Nearest
Neighbour
Logistic
Regression
0.5
1
0
128 256 384 512 640 768 896 1024 1152 1280</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. CONCLUSION</title>
      <p>The primary component of any marketing strategy is cost forecasting. Finding the right
solution with the best specifications at the lowest price is the best marketing strategy.
Products can be evaluated based on the needs, brand, and other aspects. Data mining and
analysis are the most effective ways to specify the price range recommendations of
premium goods to a customer. The comprehensive analysis of ML models for mobile price
classification, along with feature importance and performance metrics, provides valuable
insights into the dynamics of mobile phone pricing. In this work, a variety of models were
trained using mobile features, and a considerable prediction of the range of mobile prices
was made. With a 98 percent accuracy rate, the SVM model was shown to be the most
accurate. The proposed work may be used to anticipate costs for many things, including
vintage automobiles, healthcare products, homes, etc. A premium product might be
suggested by specifying the price range that the customer can afford.</p>
      <p>Future work could explore additional features or refine existing ones to improve model
performance further. The dataset's size and diversity play a crucial role in model training.
Future research may benefit from larger datasets encompassing a wider range of mobile
devices, manufacturers, and geographic regions. Addition-ally, more sophisticated AI
algorithms may be used to forecast a product's actual pricing. This study can also be
extended with the implementation of a decision matrix and performance scores may be
calculated for assigning ranks to the mo-bile devices. A list of mobile devices within the
specified price range and with the desired features will assist consumers in making
decisions.
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