Journal of Intelligent Medicine and Healthcare DOI:10.32604/jimh.2022.030161 | |

Article |

Investigating of Classification Algorithms for Heart Disease Risk Prediction

1City University of Science and Information Technology, Peshawar, 25000, Pakistan

2Radiology Science Department College of Applied Medical Science, Najran University, Kingdom of Saudi Arabia

3Department of Electrical Engineering, University of Engineering and Technology, Mardan, 23200, Pakistan

4Computer Science Department, College of Computer Science and Information System, Najran University, Saudi Arabia

5Anatomy Department, Medicine College, Najran University, Saudi Arabia

*Corresponding Author: Bilal Khan. Email: bilalsoft63@gmail.com

Received: 19 March 2022; Accepted: 01 May 2022

Abstract: Prognosis of HD is a complex task that requires experience and expertise to predict in the early stage. Nowadays, heart failure is rising due to the inherent lifestyle. The healthcare industry generates dense records of patients, which cannot be managed manually. Such an amount of data is very significant in the field of data mining and machine learning when gathering valuable knowledge. During the last few decades, researchers have used different approaches for the prediction of HD, but still, the major problem is the uncertainty factor in the output data and also there is a need to reduce the error rate and increase the accuracy of evaluation metrics for HDP. However, this study largess the comparative analysis of diverse classification algorithms going on two different heart disease datasets taken from the Kaggle repository and University of California, Irvine (UCI) machine learning repository to find the best solution for HDP. Going through comparative analysis, ten classifiers; LR, J48, NB, ANN, SC, Bagging, DS, AdaBoost, REPT, and SVM are evaluated using MAE, RAE, precision, recall, f-measure, and accuracy. The overall finding indicates that for the dataset taken from UCI, the SVM classifier performs well as compared to other classifiers in terms of increasing accuracy and reducing error rate that is 33.2631 for RAE, and 0.165 for MAE, 0.841 for precision, 0.835 for recall, 0.833 for f-measure and 83.49% for accuracy. Whereas for dataset taken from Kaggle, the SC performs well in terms of increasing accuracy and reducing error rate that is 3.30% for RAE, 0.016 for MAE, 0.984 for precision, 0.984 for recall, 0.984 for f-measure, and 98.44% for accuracy.

Keywords: Heart disease; classification techniques; evaluation measures

The heart is the major organ of the body which pumps blood and supplies to the whole body. Life is dependent on the efficient working of the heart. If the heart cannot regulate blood to body parts, it may cause severe pain and mortality within minutes. Such disease needs to be treated on time [1]. Moreover, the number of heart diseases is increasing which causes it to be the number one cause of death worldwide [2]. According to a survey, the death rate due to heart disease (HD) in Pakistan has been reported as 15.36% and can raise to 23 million deaths by 2030 annually [3]. Early detection of such diseases can reduce the death rate. For this, there should be a predictive system that can assess the presence or absence of HD. The application of Machine Learning (ML) in the predictive analysis of diseases is very beneficial. It can play a vital role in providing the best algorithm which can classify whether a person is suffering from HD or not [4]. There is a numeral number of tests required to assess the presence of HD. Such data can be beneficial to finding hidden patterns by knowing one’s symptoms. Once symptoms are identified, they can be trained on ML models which can be helpful to identify one possesses HD or not [5]. Such a predictive system is very helpful for cardiologists in taking decisions quickly so that many people can be treated in a short time, thus saving thousands of life [6].

However, the main focus of the study is the empirical analysis of different ML techniques and finding the best technique amongst the prevailing techniques for the prediction of HD with higher accuracy and lesser amount of error rate. For evaluating existing techniques, this research focuses on Mean Absolute Error (MAE), Relative Absolute Error (RAE), Accuracy, Precision, Recall, and F-measure as assessment metrics to evaluate the employed techniques.

Hereinafter, Section 2 addresses the literature review, whereas Section 3 illustrates the study methodology. Section 4 went through the outcomes and how they were discussed. Finally, Section 5 summarizes the entire study’s findings.

The basic ML process comprises data collection, pre-processing, and applying a classifier on a dataset to diagnose diseases. The first step involves the preprocessing of raw data to form a clean dataset that can further be passed for the training phase, the second step involves the utilization of the classifier on the preprocessed dataset to evaluate the prediction accuracy of the classifier. Supervised learning involves the development of a model where labels are known. On the other side, the “unsupervised” research method is not pre-labeled.

Agreeing with information from the literature periodical, various data mining techniques are used for HDP with higher accuracy and fewer error rates [7]. Different types of studies have been conducted to target the prediction of HD, which includes the following related work: A framework for HDP named An Effective Classification Rule Technique for Heart Disease Prediction has been recommended by Vijayarani et al. [8]. The authors performed an experimental analysis of different classification rule techniques such as Decision Table (DTab), JRip, OneR, and Part on a dataset obtained from UCI which contains 14 features. Evaluation metrics are based on Accuracy and error rates namely MAE, RMSE, RAE, and RRSR. Post assessment, it is concluded the DTab performs better than other techniques with an accuracy of 73.6%.

Experimental analysis performed by Chaurasia et al. [9] on Naive Bayes (NB), J48 Decision Tree(DT), and Bagging algorithm on a dataset obtained from UCI which contains 11 features. Evaluation metrics are based on accuracy, precision, and recall matrix. Post assessment, it is concluded that the bagging algorithm has an accuracy of 85.03%. Comparative analysis performed by Venkatalakshmi et al. [10] on DT, NB on a dataset obtained from UCI which contains 14 features. Evaluation metrics are based on accuracy. Post assessment, it is concluded that NB with 85.03% outperforms other techniques. Masethe et al. [11] perform an empirical study on J48, Bayes Net, NB, Simple Cart (SC), and Reduced Error Pruning Tree (REPTREE) on a dataset obtained from UCI which contains 14 features. Evaluation metrics are based on accuracy. Post assessment, it is concluded that the prediction accuracy of J48 is 99%.

Dai et al. [12] perform experimental analysis on SVM, AdaBoost, Logistic Regression(LR), and NB on the dataset is obtained through clinical data. Evaluation metrics are based on accuracy. After the assessment, it is concluded that the prediction accuracy of AdaBoost is 82%. Abdar et al. [13] propose the C5.0 DT framework for HDP through comparative analysis on C5.0, SVM, K-nearest neighbor (KNN), and Artificial Neural Network (ANN). The dataset was obtained from UCI which contains 14 features. Evaluation metrics are based on accuracy. Post assessment, it is concluded that C5.0 has the greatest accuracy 93%. Shafique, et al. [14] perform a comparison among ML algorithms like J48, ANN, and NB on a dataset obtained from UCI which contains 14 features. Evaluation metrics are based on accuracy and time. After evaluating the results, it is concluded that NB outperforms other techniques with 82.9% and J-48 has an accuracy of 77.2%.

An intelligent technique for HDP proposed by Dbritto et al. [15] through comparative analysis among algorithms like NB, DT, KNN, and SVM on different datasets obtained from Cleveland, Hungary, Switzerland, long beach, and Stat log. Accuracy is used as an evaluation metric and concluded SVM better than other techniques with 80%.

An operational framework for HDP named Identification of heart failure by using unstructured data of cardiac patients proposed by Saqlainet al. [16] through comparative analysis on algorithms like LR, ANN, SVM, random forest(RF), DT, and NB. The comparative analysis was performed on a dataset obtained from the Armed Forces Institute of Cardiology (AFIC). Evaluation metrics are based on accuracy, precision, recall, and concluded NB performed best, with a predictive accuracy of 86%. For improving the predictive accuracy of the classifier, Weng et al. [17] perform a comparison among algorithms like RF, LR, gradient boosting (GB), and ANN. The different datasets were obtained from clinical data of 378,256 patients. Evaluation metrics are based on Area under the ROC Curve (AUC) and concluded ANN performed best, with predictive accuracy improving by 3.6%. Keerthana [18] perform a comparison among algorithms like RF, DT, and NB. perform a comparison among algorithms like NB, DT, and RF. The dataset was obtained from UCI which contains 14 features. Evaluation metrics are based on accuracy, precision, and recall and concluded NB better performance than other techniques. To evaluate algorithms’ performance, Rairikar et al. [19] perform a comparison among algorithms like RF, DT, and NB on a dataset obtained from UCI datasets 14 attributes having 270 instances. Evaluation metrics are based on precision, recall, F-measure, ROC, PRC curve, and concluded RF better performance than other techniques with 75%.

Kumar et al. [20] perform a comparison among algorithms like J48, LMT, RF, NB, KNN, and SVM. The dataset was obtained from UCI which contains 14 features. Evaluation metrics are based on accuracy and time and concluded J48 has better performance than other techniques with 56.76% accuracy. An intelligent algorithm recommended by Hasan et al. [21] named Comparative Analysis of Classification Approaches for Heart Disease Prediction through comparison among algorithms like KNN, DT (ID3), NB, LR, and RF. The dataset obtained from UCI datasets 14 has 303 instances attributes. Evaluation metrics are based on accuracy, ROC curve, precision, recall, sensitivity, specificity, and F1-score, and concluded that LR performs better than other techniques 92.76%. Ramalingam et al. [22] perform an empirical study on algorithms like SVM, KNN, NB, DT, RF, and ensemble models The dataset was obtained from UCI datasets. Evaluation metrics are based on accuracy and concluded SVM is better than other techniques with an accuracy of 92.1%. To evaluate the performance of hybrid algorithms, Gultepe et al. [23] perform comparisons among meta algorithms like ensembling J48, ensembling NB on a dataset obtained from the UCI dataset having 14 attributes, and 303 instances. Evaluation metrics are based on accuracy, and concluded ensembling J48 better than other techniques with an accuracy of 81.31%.

A model has been developed to support decision-making in HD prognosis based on data mining techniques propose by Makumba et al. [24] on algorithms like DT, NB, and KNN using Waikato Environment for Knowledge Analysis application programming interface (WEKA API). Data for the proposed model has been accessed from UCI having 14 attributes. Evaluation metrics are based on accuracy. To assess the performance of an algorithm like J48 and NB for prognosis and identification of heart disease, Mohamed et al. [25] recommend NB. The comparative analysis was performed on the dataset obtained from the UCI dataset having 14 attributes and 303 instances. Results show NB is superior to others with an accuracy of 83%. Muppalaneni et al. [26] evaluate classification algorithms like RF, SVM, LR, GB with receiver operating characteristic (ROC) curve for identification and prediction of a congestive problem. The dataset obtained from the UCI dataset has 14 attributes and 303 instances. Results show LR is superior to others with an accuracy of 87%. A bootstrap aggregation method proposed by Motarwar et al. [27] for HDP through a comparative analysis of RF, NB, SVM, Hoeffding Tree (HT), and Logistic Model Tree (LMT). The dataset obtained from the UCI dataset has 14 attributes and 303 instances. Evaluation metrics are based on accuracy and concluded RF better than other techniques with 95.08%.

Ware et al. [28] perform an empirical study on SVM, RF, KNN, DT, NB, and LR techniques to detect heart disease. The dataset obtained from the UCI dataset has 14 attributes and 303 instances. Evaluation metrics are based on accuracy measure, precision, and recall, and concluded SVM better than other techniques with 89.34%. To assess the performance of the algorithm in terms of higher accuracy proposed by Barik et al. [29] through comparative analysis on NB, DT, LR, and RF. The dataset obtained from the UCI dataset has 14 attributes and 303 instances. Evaluation metrics are based on accuracy, f measure, precision, and recall, and concluded RF better than other techniques with 90.16% accuracy.

The detailed methodology begins with a collection of two different HDDs, one is the UCI dataset and the other is the Kaggle dataset. Post collections of the dataset, classification techniques are applied to the dataset to achieve better accuracy and lower error rate. For this, techniques including J48, NB, LR, SC, Bagging, DS, AdaBoost, ANN, REPT, and SVM are first trained using 10 fold-cross validation(CV) on the dataset, and then the prediction is performed by each technique. Post prediction, analysis of comparisons were performed among all mentioned techniques to check which technique has higher accuracy and lower error rate. The overall methodology for HDP is shown in Fig. 1.

The ML classification techniques are employed on datasets taken from UCI and Kaggle repositories. The selection of these datasets is based on the waste use of these datasets in the previous research studies. These datasets are recommended by various researchers as standards for research analysis [28,30]. The dataset taken from the UCI repository contains 303 instances with 14 features1, and the dataset taken from the Kaggle ML repository contains 1025 instances and 14 attributes. Both the datasets have same attributes in which there are 13 independent features which include age of patient in years which is an interval value, gender of patient which is nominal, chest pain type whether it is angina, non-angina or asymptomatic and it is measured as nominal, blood pressure which is measured in interval scale and it has range of values between 90 to 250, Cholesterol level between 200–250 or higher and measured in interval scale, Blood sugar level which is measured in nominal scale and has value higher or lesser than 120, maximum cardiac rate achieved, Maximum exercise cardiac rate achieved and measured interval scale, Exercise induced angina which is measured in nominal scale and has values 0 or 1, Depression induced by angina which has range of values 1 to 3 and measured in interval scale, Slope of peak exercise which has range of values namely un-slopping, flat, down slopping, Number of vessels colored by fluoroscopy and range of values are between 0 to 3 and measured in interval scale, Thal which has three values namely normal, fixed defect, reversible defect and one dependent feature namely Target which has value yes or no and measured in nominal scale. The list of attributes and range for both the datasets are listed in Tabs. 1 and 2 respectively.

3.2 Dataset Splitting Using K-Fold Cross-Validation and Techniques Employed

To assess the performance of a classifier, the 10-fold cross-validation is applied. The 10-fold cross-validation is a technique that divides data records into 10 portions of equivalent sizes; one portion is utilized for validation set while others are used for training. This process continues until each portion has been utilized for validation. It is a standard technique used for assessment [31].

Techniques Employed

To determine techniques with higher accuracy and lower error rates, ten classification techniques including J48, NB, LR, SC, Bagging, DS, AdaBoost, ANN, REPT, and SVM have been used for comparisons. The subsection contains a brief detail of each employed technique.

a. J48

The J48 algorithm grows the initial tree using the technique of divide and conquers. The root node is the attribute that has the highest gain ratio. To enhance accuracy, this technique uses pessimistic pruning to eliminate unnecessary branches in the tree. To treat continuous attributes, the algorithm segregates values into two divisions. The tree is pruned to avoid overfitting [32].

where c is the number of classes, Pi is the proportion of S belonging to class ‘i’ [32].

where A is a set of all possible values, Sv is the subset of S for which function A has value v, S corresponds to entropy of the original collection, and the predicted value of entropy.

b. AdaBoost

A basic yet very powerful solution is based on combining some weak classifiers into a strong classifier. Weak (or basic)” means poor performance and accuracy classifier is relatively low. It is especially for classification problems. It performs selecting the training set for each new classifier. A random subset of the overall training set will be equipped for every weak classifier. If each classifier has been equipped, the weight of the classifier is determined based on its accuracy. More accurate classifiers get more weight [33].

The final classifier is composed of weak classifiers ‘T’, “H t(x)” is the output of the low classifier ‘t’, “alpha t” is the weight added by AdaBoost to the classifier ‘t’. The final output is therefore just a linear combination of all the weak classifiers and the final judgment is taken simply by looking at the sign of this sum [33].

c. Reduced Error Pruning Tree

REPT is a quick decision tree. It follows the rationale for the regression tree and produces several trees in different iterations. Post, it selects the best one from all trees produced. The metric used in pruning the tree is the mean square error on tree predictions. It constructs a decision/regression tree using information gain as the criteria for separation, and prunes it using reduced pruning of errors and helps in reducing the variance. This sort values just once for numerical attributes. Missing values are addressed using the approach used by C4.5 for utilizing fractional instances [34].

where A is a set of all possible values, Sv is the subset of S for which function A has value v, S corresponds to entropy of the original collection, and the predicted value of entropy.

d. Artificial Neural Network

A neural network is an ML built on a human neuron model. This algorithm was designed to simulate the human brain neurons. It involves several related processing units working together to process information. This is composed of several associated nodes or neurons, and one node’s output is another’s an entry. Every node receives several inputs but only one value is generated. A commonly used form of ANN, the Multi-Layer Perceptron (MLP) consists of an input layer that reflects the raw input that is allowed to flow through the network., hidden layers that identify the operation of each hidden object, and an output layer which depends on the operation of the hidden units and the weights between the hidden units and the output units. The important parts include the synapses, defined by their weight values, the summing junction (integrator), and the activation mechanism [35]. The output of the neuron k can be mathematically represented by a simple equation as below:

where the input signals are j = 1, m, j = 1, m, are the synaptic weights of neuron k, is the net entry to the activation function, is the neuron bias, f (⋅) is the activation feature, and is the display. The activation function determines the contribution of the neuron k in addition to its network data [35].

e. Support Vector Machine

SVM is a supervised algorithm for ML that can be used for classification or regression problems. The goal of the support vector machine algorithm is to find a hyperplane in an N-dimensional space where n is the number of features that classify the data points distinctly. Hyperplanes are boundaries for decision-making and help to distinguish data points. Support vectors are data points relative to the hyperplane, which influence the hyperplane’s position and orientation. The loss function which helps to optimize the margin is hinge loss [36].

where w, b is the hyperplane parameters and x are the variable(s) of the input. When

f. Bagging

Bagging is used to enhance the accuracy and symmetry of ML techniques used in statistical regression and classification. It also helps in reducing variance and avoiding overfitting. Provide work for bagging on classifiers, particularly on decision trees, neural networks improve the precision of classification. Bagging plays a crucial role in the field of HD diagnosis [37].

g. Logistic Regression

LR algorithm is a regression and classification method for examining the dataset in which it contains one or more independent variables that conclude an outcome [38]. It is based on the following equation:

In the training phase, coefficients of instances x1,x2,x3,… xn will be b0,b1,..bn. The coefficients are updated and estimated by stochastic gradient descent.

All the coefficients are 0 initially where l is the learning rate, x is the biased input for b0, which is always 1. The process of updating continues until the correct prediction is made at the training stage [38].

h. Naive Bayes

Bayesian Theorem delivers the foundation of NB. In this, singular parameters subsidize autonomously to the prospect [38].

For example, the fruit is an apple that gives individualistically to the likelihood of apple, even though somewhat conceivable correlations between the roundness, color, and diameter features for classification. For classifying spatial datasets, the NB algorithm is desirable. This method achieves conditional independence. An attribute value is independent of other attributes to estimate conditional independence. So that it proves fruitful for investigating and getting information [39].

i. Simple Cart

SC is a classification technique that generates a binary decision tree. Because the output is a binary tree, it generates only two children. Attribute splitting is performed by the highest entropy. It uses a CV or a large number of the test sample to choose the best tree from a series of the tree which is considered as pruning process. The rationale behind the Simple Cart algorithm is a greedy algorithm in which the locally best feature is selected at each stage. The full process, it is computationally costly. In the implementation process, the dataset is divided into two groups that are unique concerning the outcome. This process continues until the small size subgroup reached [40]. The equations are mentioned below:

j. Decision Stump

A DS is a learning model that consists of one decision tree. It has one internal node which connects to leaves immediately. For prediction, it uses a single input attribute. It is also known as 1-rules. There are variations possible depending on the type of input attribute. For binary and nominal type attributes, two leaves are possible. For numeric attributes, some values are selected and the stump contains two leaves such as below and above threshold [41].

3.3 Performance Assessment Criteria

Model assessment is the essential goal of any research work. It is important to evaluate with some standard evaluation measures/models. For evaluation of algorithms to achieve higher accuracy and lower error, assessment metrics involved namely MAE [42], RAE [43], accuracy [44], precision, recall [45], F-measure [46].

a. Mean Absolute Error

MAE can be determined by compelling the difference of incessant variables, for example, foreseen and witnessed values, final time against initial time.

b. Relative Absolute Error

Tentative or probing values are the two variables on which relative absolute error relies on. To measure the relative RAE, these two criteria must be recognized. RAE is obtained by the ratio of absolute error and the experimental value. Percentage or fraction is used to indicate relative absolute error because it has no units.

where

The numerator is equivalent to 0 for a good suit, and Ei = 0.

c. Accuracy

Accuracy is one criterion for assessing models of classification. Informally, accuracy is the proportion of our model’s observations that was accurate.

d. Precision

It is the ratio of optimistic successfully expected observations to predicted positive all-out observations.

e. Recall

A recall is the percentage of exactly expected optimistic findings to other actual class findings – yes.

f. F-Measure

It is the weighted average of Precision and Recall. This ranking takes into account all false negatives and false positives in certain lines. Instinctively it is not as straightforward as precision, however, F1-Measure is normally more helpful than accuracy, particularly if you have a lopsided class distribution.

This section presents the experimental results of SC and SVM with a comparison to employed techniques. Firstly, the results of employed models are discussed and then the results of SC and SVM are presented. The results are taken using two different HDDs. The results are evaluated using MAE, RAE, accuracy, precision, recall, and f-measure as evaluation metrics.

This section presents outcomes obtained through the analysis of classification algorithms. These models are evaluated on two different datasets using six evaluation metrics. Ten classifiers including J48, NB, LR, SC, Bagging, DS, AdaBoost, ANN, REPT, and SVM were tested on HDDs including the UCI dataset and Kaggle dataset with 10 fold CV on evaluation metrics which include RAE, MAE, correctly and incorrectly instances, accuracy, precision, recall, and f-measure for analyzing which algorithm works best in predicting HD.

a. Experimental Results Scenario 1 (UCI Dataset)

Tab. 3 shows the correct classified instances (CCI) and incorrect classified instances (ICI) by employed algorithms on the UCI dataset. Thus, it shows how many instances of the dataset have been performed correctly or incorrectly by each algorithm. It clearly shows that SVM with 253 correct and 50 incorrect instances outperforms J48, NB, LR, SC, Bagging, DS, AdaBoost, ANN, and REPT as shown in Tab. 3.

Tab. 4 shows the error rates which include RAE and MAE for the employed techniques. By examining Tab. 4, it is known that SVM produces better results for error rates namely RAE as 33.26% value, MAE as 0.16 value.

As the SVM algorithm performed better on UCI dataset than the other techniques with lower error rates, Tab. 5 presents the difference between error rates among SVM and other employed classifiers.

For evaluating algorithms, there ought to be some metric to predict the correctness of the algorithm. For this, accuracy is highly important to check how correctly it is performing. Tab. 6 represents the analysis of precision, recall, F-measure, and accuracy achieved via each classifier. These outcomes show the better performance of the SVM algorithm as compared to other employed algorithms. Fig. 2 represents the analysis achieved via precision, recall, and F-measure while Fig. 3 presents the accuracy details.

When comparing the SVM with the employed techniques on the UCI dataset, the difference of accuracy between SVM and employed techniques is given in Fig. 4.

b. Experimental Results Scenario 2 (Kaggle Dataset)

Tab. 7 shows the CCI and ICI by employing algorithms on the Kaggle dataset. Thus, it shows how many instances of the dataset have been performed correctly or incorrectly by each algorithm. It clearly shows that SC with 1009 correct and 16 incorrect instances outperforms J48, NB, LR, SC, Bagging, DS, AdaBoost, ANN, and REPT as shown in Tab. 7.

Tab. 8 shows the error rates which include RAE and MAE for the employed techniques on the Kaggle dataset. By examining Tab. 8, it is known that SC has lesser error rates than compared techniques with 3.30% as RAE value and 0.0165 as MAE value.

As the SC algorithm performed better on Kaggle dataset than the other techniques with lower error rates, Tab. 9 presents the difference between error rates among SC and other employed classifiers.

For evaluating algorithms, there ought to be some metric to predict the correctness of the algorithm. For this, accuracy is highly important to check how correctly it is performing. Tab. 10 represents the analysis of precision, recall, and F-measure achieved via each classifier. These outcomes show the better performance of the SC algorithm as compared to other employed algorithms. Fig. 5 represents the analysis achieved via precision, recall, and F-measure while Fig. 6 presents the accuracy details.

When comparing SC with the employed techniques on the Kaggle dataset, the difference of accuracy between SC and employed techniques is given in Fig. 7.

This study aims to perform an empirical analysis of ten different ML classification algorithms on two different HDDs taken from Kaggle and UCI repositories. On both datasets, results, after the assessment is a heterogeneous due to each dataset, containing a different amount of instances dataset according to attributes and most important, different amounts (percentage) of effective and non-effective patient records. Tab. 11 shows the better performance of better classifiers on both datasets concerning each assessment measure. These analyses illustrate that in terms of reducing the error rate on both datasets and maximizing accuracy. However, on the UCI dataset, SVM produces better results for precision, recall, f-measure, accuracy, and error rates namely RAE, MAE. On the other side, the dataset is taken from the Kaggle repository, SC performs better in terms of increasing accuracy, precision, recall, and F-measure with reducing error rates namely MAE and RAE.

Q1. Why the performance of SVM is better on UCI dataset?

The dataset that applied to algorithms was taken from the UCI repository which contains 303 instances with 14 attributes. The dataset is pre-processed which means the SVM has linearly separated the data causing the margin to be maximized on the UCI dataset. To get the maximum margin to best fit our data, we have used a polynomial kernel function that can plot data in high dimensional. Moreover, the parameters are tuned due to which SVM has better performance on the UCI dataset. According to over data, it is also known about SVM that when there is a clear margin of distinction between classes, SVM performs rather well. In high-dimensional spaces, SVM is more effective, and is effective when the number of dimensions exceeds the number of samples. It also performs and generalizes effectively on data that is not from a sample. Another reason to use SVM is that making minor changes to the derived feature data does not influence the previously predicted results. It is rapidly converging, and as previously indicated in the article Kernel Functionality, in general, the Polynomial kernel appears to be a better factor in terms of SVM [47,48].

Q2. Why the performance of SC is better on the Kaggle dataset?

The dataset used to train the algorithms was obtained from the Kaggle repository, which comprises 1025 instances with 14 characteristics. The dataset has been pre-processed, which means SC generates a binary DT by repeatedly separating a node into two child nodes, beginning with the root node, which holds the whole learning sample. We adjusted the pruning option to true for greater performance, and cross-validation up to 5 folds fit more precisely, making the decision tree an excellent learner. Furthermore, because the number of instances in the Kaggle dataset is greater than the number of instances in the UCI dataset, some other reasons for the SC’s superior performance include the fact that the SC focuses on detecting interactions and signal discontinuities and automatically identifies significant factors. It may employ any mix of continuous/discrete variables and is insensitive to predictor monotone transformations. To more precisely quantify the goodness of fit, it combines testing using a test data set with cross-validation [49,50].

It is observed from the literature that several kinds of research developed techniques for HDP but it is still a challenging task in terms of increasing accuracy and decreasing error rate. The focus of this research is to improve the accuracy rate of HDP in terms of reducing the error rate of the evaluation metric using two algorithms i.e., SVM for a UCI dataset and SC for Kaggle datasets. The datasets from UCI and Kaggle data repositories were selected, and MAE, RAE, accuracy, precision, recall, and f-measure are used as evaluation metrics. The results taken from the proposed models are compared with the results of the employed techniques used for comparative analysis. The eventual goal of this research is to reduce the error rate and maximize accuracy for techniques used in research for HDP. Improvement in results can be performed by using the latest algorithm with the latest datasets can also be applied to improve the accuracy results of HDP and merging the strength of SVM, SC to enhance the proficiency and performance which is known as hybridization.

Acknowledgement: Authors would like to acknowledge the support of the Deputy for Research and Innovation- Ministry of Education, Kingdom of Saudi Arabia for this research at Najran University, Kingdom of Saudi Arabia.

Funding Statement: Authors would like to acknowledge the support of the Deputy for Research and Innovation- Ministry of Education, Kingdom of Saudi Arabia for this research through a grant (NU/IFC/ENT/01/014) under the institutional Funding Committee at Najran University, Kingdom of Saudi Arabia.

Conflicts of Interest: The authors declare that they have no conflicts of interest to report regarding the present study.

1https://archive.ics.uci.edu/ml/datasets/Heart+Disease

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