 Research
 Open access
 Published:
Machinelearning classification of texture features of portable chest Xray accurately classifies COVID19 lung infection
BioMedical Engineering OnLine volumeÂ 19, ArticleÂ number:Â 88 (2020)
Abstract
Background
The large volume and suboptimal image quality of portable chest Xrays (CXRs) as a result of the COVID19 pandemic could post significant challenges for radiologists and frontline physicians. Deeplearning artificial intelligent (AI) methods have the potential to help improve diagnostic efficiency and accuracy for reading portable CXRs.
Purpose
The study aimed at developing an AI imaging analysis tool to classify COVID19 lung infection based on portable CXRs.
Materials and methods
Public datasets of COVID19 (Nâ€‰=â€‰130), bacterial pneumonia (Nâ€‰=â€‰145), nonCOVID19 viral pneumonia (Nâ€‰=â€‰145), and normal (Nâ€‰=â€‰138) CXRs were analyzed. Texture and morphological features were extracted. Five supervised machinelearning AI algorithms were used to classify COVID19 from other conditions. Twoclass and multiclass classification were performed. Statistical analysis was done using unpaired twotailed t tests with unequal variance between groups. Performance of classification models used the receiveroperating characteristic (ROC) curve analysis.
Results
For the twoclass classification, the accuracy, sensitivity and specificity were, respectively, 100%, 100%, and 100% for COVID19 vs normal; 96.34%, 95.35% and 97.44% for COVID19 vs bacterial pneumonia; and 97.56%, 97.44% and 97.67% for COVID19 vs nonCOVID19 viral pneumonia. For the multiclass classification, the combined accuracy and AUC were 79.52% and 0.87, respectively.
Conclusion
AI classification of texture and morphological features of portable CXRs accurately distinguishes COVID19 lung infection in patients in multiclass datasets. Deeplearning methods have the potential to improve diagnostic efficiency and accuracy for portable CXRs.
Background
In December 2019, in the Wuhan Hubei province of China, a cluster of cases of pneumonia with an unknown cause was reported [1]. Eventually, it was discovered as severe acute respiratory syndrome coronavirus2 (SARSCoV2, previously named as 2019 novel coronavirus or COVID19) which has then caused major public health issues and became a large global outbreak. According to the recent statistics, there are millions of confirmed cases in United States and India, and the number is still increasing. The WHO also declared on January 13, 2020 that COVID19 was the sixth public health emergency of international concern following H1N1 (2009), polio (2014), Ebola in West Africa (2014), Zika (2016) and Ebola in the Democratic Republic of Congo (2019) [2]. It was also found that the novel coronaviral pneumonia is similar to another severe acute respiratory syndrome caused by the Middle East respiratory syndrome (MERS) coronavirus and that it was also capable of causing a more severe form known as acute respiratory distress syndrome (ARDS) [3, 4]. Consensus, criteria, and guidelines were being established with the aim to prevent transmission and facilitate diagnosis and treatment [2, 5, 6]. The rapid incidences of infection are due in part by the relatively slow onset of symptoms, thus enabling widespread transmission by asymptomatic carriers [7]. Along with the global connectivity of todayâ€™s travel society, this infection readily spread worldwide [7], giving rise to a pandemic [8, 9].
Radiological imaging of the COVID19 pneumonia reveals the destruction of pulmonary parenchyma which includes extensive consolidation and interstitial inflammation as previously reported in other coronavirus infections [10, 11]. In total, interstitial lung disease (ILD) comprises of more than 200 different types of chronic lung disorders that is characterized by inflammation of lung tissue, usually referred to as pulmonary fibrosis. The fibrosis causes lung stiffness, and this reduces the ability of the air sacs (i.e., spaces within an organism where there is the constant presence of air) to carry out and deliver oxygen into the bloodstream. This eventually can lead to the permanent loss of the ability to breathe. The ILDs are also heterogeneous diseases histologically but mostly contain similar clinical manifestations to each other or with other different lung disorders. This makes determining the differential diagnosis difficult. In addition, the large quantity of radiological data that radiologists are required to scrutinize (with lack of strict clinical guidelines) leads to a low diagnostic accuracy and high inter and intraobserver variability, which was reported as great as 50% [12].
The most commonly used diagnosis for COVID19 infections is through reverse transcriptionpolymerase chain reaction (RTPCR) assays of nasopharyngeal swabs [13]. However, the high falsenegative rate [14], length of test, and shortage of RTPCR assay kits for the early stages of the outbreak can restrict a prompt diagnosis of infected patients. Computed tomography (CT) and chest Xray (CXR) are well suited to image the lung of COVID19 infections. In contrast to the swab test, CT and CXR reveals a spatial location of the suspected pathology as well as the extent of damages. The hallmark pathology of CXR are bilateral distribution of peripheral hazy lung opacities include air space consolidation [15]. The advantage of imaging is that it has good sensitivity, a fast turnaround time, and it can visualize the extent of infection in the lung. The disadvantage of imaging is that it has low specificity, challenging to distinguish different types of lung infection especially when there is severity in the lung infection.
Computeraided diagnostic (CAD) systems can assist radiologists to increase diagnostic accuracy. Currently, researchers are using the handcrafted or learning features which are based on the texture, geometry, and morphological characteristics of the lung for detection. However, it is often crucial and challenging to choose the appropriate classifier that can optimally handle the property of the feature spaces of the lung. The traditional image recognition methods are Bayesian networks (BNs), support vector machine (SVM), artificial neural networks (ANNs), knearest neighbors (kNN), and Adaboost, decision trees (DTs). These machinelearning methods [16, 17] require handcrafted features to compute such as texture, SIFT, entropy, morphological, elliptic Fourier descriptors (EFDs), shape, geometry, density of pixels, and offshelf classifiers as explained in [18]. In addition, the machinelearning (ML) featurebased methods are known as nondeep learning methods. There are many applications for these nondeep learning methods such as uses in neurodegenerative diseases, cancer detection, and psychiatric diseases. [17, 19,20,21,22]. However, the major limitations of nondeep learning methods are that they are dependent on the feature extraction step and this makes it difficult to find the most relevant feature which are needed to obtain the most effective result. To overcome these difficulties, the use of artificial intelligence (AI) can be employed. The AI technology in the field of medical imaging is becoming popular especially for the technology advancement and development of deep learning [23,24,25,26,27,28,29,30,31,32]. Recently, [33] used Infnet for automatic detection of COVID19 lung infection segmentation from CT images. Moreover, [18] employed momentum contrastive learning for few shot COVID19 diagnosis from chest CT images. There are vast applications of deep convolutional neural network (DCNN) and machinelearning algorithms in medical imaging problems [32, 34,35,36,37,38]; however, this study is specifically aimed to apply machinelearning algorithms with feature extraction approach. The main advantage of this method is the ability to learn the adaptive image features and classification, which are able to be performed simultaneously. The general goals are to develop automated tools by employing and optimizing machinelearning models along with texture and morphological features to detect early, to distinguish coronavirusinfected patients from noninfected patients. This proposed method will help the healthcare clinicians and radiologists for further diagnosis and tracking the disease progression. The AIbased system, once verified, and tested can lead towards crucial detection and control of patients affected from COVID19. Furthermore, the machinelearning image analysis tools can potentially support the radiologists by providing an initial read or second opinion.
In this study, we employed machinelearning methods to classify texture features of portable CXRs with the aim to identify COVID19 lung infection. Comparison of texture and morphological features on COVID19, bacterial pneumonia, nonCOVID19 viral pneumonia, and normal CXRs were made. AIbased classification methods were used for differential diagnosis of COVID19 lung infection. We tested the hypothesis that AI classification of texture features of CXR can accurately detect the COVID19 lung infection.
Results
We applied five supervised machinelearning classifiers (XGBL, XGBTree, CART, KNN and NaÃ¯ve Bayes) to classify COVID19 from bacterial pneumonia, nonCOVID19 viral pneumonia, and normal lung CXRs.
Table 1 shows the results of AI classification of texture and morphological features for COVID19 vs normal utilizing five different classifiers: XGBL, XGBTree, CART (DT), KNN, and NaÃ¯ve Bayes. All classifiers yielded essentially 100% accuracy by all performance measures along with top four ranked features (i.e., compactness, thin ratio, perimeter, standard deviation), indicating that there is significant difference between the two groups.
Table 2 shows the results of AI classification of texture and morphological features for COVID19 vs bacterial pneumonia. All classifiers except KNN performed well by all performance measures. Specifically, the XGBL and XGBTree classifier yielded the highest classification accuracy (96.34% and 91.46%, respectively), while KNN classifier performed the worst (accuracy of 71.95%). While with the top four ranking features, the XGBL and XGBtree classifiers yielded highest accuracy of 85.37% and 86.59%, respectively.
Table 3 shows the results of AI classification of texture and morphological features for COVID19 vs nonCOVID viral pneumonia. All classifiers except KNN performed well by all performance measures. Specifically, the XGBL and XGBTree classifier yielded the highest classification accuracy (97.56% and 95.12%, respectively), while KNN classifier performed the worst (accuracy of 79.27%).
Table 4 shows the twoclass classification using the XGBL classifier. The result showed that model classified COVID19 from normal patients most accurately, followed by COVID19 from bacterial pneumonia, and lastly by COVID19 from viral pneumonia.
Table 5 shows the results of the multiclass classification using the XGBL classifier. For multiclass classification problem, the average accuracy for classification of all four classes is used to measures the performance of the classifier (i.e., combined accuracy and AUC). Multiclass classification was able to classify COVID19 amongst the four groups, with a combined AUC of 0.87 and accuracy of 79.52%. While with the top two ranked features, the combined AUC of 0.82 and accuracy of 66.27% was obtained. Sensitivity, specificity, positive predictive value, and negative predictive value were similarly high. As reflected in Tables 1, 2, 3 and 4, the twoclass classification performance (i.e., COVID19 vs normal, COVID19 vs bacterial pneumonia, COVID19 vs viral pneumonia) in terms of sensitivity and PPV was higher than 95%, while these measures using multiclass (COVID19 vs normal vs bacterial vs viral pneumonia) could achieve performance greater than 74% and 83% to detect COVID19, respectively.
Feature ranking algorithms are mostly used for ranking features independently without using any supervised or unsupervised learning algorithm. A specific method is used for feature ranking in which each feature is assigned a scoring value, then selection of features will be made purely on the basis of these scoring values [39]. The finally selected distinct and stable features can be ranked according to these scores and redundant features can be eliminated for further classification. We first extracted first extracted texture features based on GLCM and morphological features from COVID19, normal, viral and bacterial pneumonia CXR images and then ranked them based on empirical receiveroperating characteristic curve (EROC) and random classifier slop [40], which ranks features based on the class separability criteria of the area between EROC and random classifier slope. The ranked features show the features importance based on their ranking which can be helpful for distinguish these different classes for improving the detection performance and decision making by the radiologists.
FigureÂ 1 shows the ranking features of COVID19 vs bacterial infection, COVID19 vs normal, and their multiclass features. The top four features from COVID19 vs bacterial CXR based on AUC were: skewness, entropy, compactness, and thin ratio. The top four features from COVID19 vs normal CXR based on AUC were: compactness, thin ratio, perimeter, and standard deviation. The top feature from the multiclass was by far perimeter.
Discussion
We employed an automated supervised learning AI classification of texture and morphologicalbased features on portable CXRs to distinguish COVID19 lung infections from normal, and other lung infections. The major finding was that the multiclass classification was able to accurately identify COVID19 from amongst the four groups with a combined AUC of 0.87 and accuracy of 79.52%.
The hallmarks of COVID19 lung infection on CXR are bilateral and peripheral hazy lung opacities and air space consolidation [15]. These features of COVID19 lung infection likely stood out compared to other pneumonia, giving rise to distinguishable texture features. Our AI algorithm was able to distinguish COVID19 vs normal CXR with 100% accuracy, COVID19 vs bacterial pneumonia with 96.34% accuracy, and COVID19 vs nonCOVID19 viral infection with 92.68% accuracy. These findings suggest that it is trivial to distinguish COVID19 from normal CXR and the two viral infections were more similar than bacterial infection.
With the multiclass classification, all performance measures dropped significantly (except normal CXR) as expected. Nonetheless, the combined AUC and accuracy remained high. These findings are encouraging and suggest that the multiclass classification is able to distinguish COVID19 lung infection from other similar lung infections.
The top four features from COVID19 vs bacterial infection were skewness, entropy, compactness, and thin ratio. The top four features from COVID19 vs normal were: compactness, thin ratio, perimeter, and standard deviation. The top feature from the multiclass was perimeter. Perimeter is the total count of pixels at the boundary of an image. It showed that the perimeter of COVID19 lung CXRs differed significantly from other bacterial and viral infections as well as normal lung Xrays. These results together suggest that perimeter is a key distinguishable feature, consistent with a key observation that COVID19 lung infection tends to be more peripheral and lateral together the boundaries of the lung.
A few studies have reported CNN analysis of CXR and CT for classification of COVID19 [41,42,43,44,45]. Li et al. performed a retrospective multicenter study using a deeplearning model to extract visual features from chest CT to distinguish COVID19 from community acquired pneumonia (CAP) and nonpneumonia CT with a sensitivity of 90%, specificity 95%, and AUC 0.96 (p valueâ€‰<â€‰0.001) [41]. Hurt et al. performed a retrospective study using a Unet (CNN), to predict pixelwise probability maps for pneumonia only from a public dataset that comprised of 22,000 radiographs. For their classification of pneumonia, the area under the receiveroperator characteristic curve was 0.854 with a sensitivity of 82.8% and specificity of 72.6 [46]. Wang et al. developed a deep CNN to detect COVID19 cases from nonCOVID CXR. This study used interpretable AI to visualize the location of the abnormality and was able to distinguish COVID19 from nonCOVID19 viral infection, bacterial infection, and normal with a sensitivity of 81.9%, 93.1%, and 73.9%, respectively, with an overall accuracy of 83.5% [38]. Gozes et al. developed a deeplearning algorithm to analyze CT images to detect COVID19 patients from nonCOVID19 cases with 0.996 AUC (95% CI 0.989â€“1.00), 98.2% sensitivity and 92.2% specificity [43]. Apostolopoulos and Mpesiana [45] used deep learning with a transfer learning approach to extract features from Xrays to distinguish between COVID19 and bacterial pneumonia, viral pneumonia, and normal with a sensitivity of 98.66%, specificity of 96.46%, and accuracy of 96.78%. Overall, most of these studies used twoclass comparison (i.e., pneumonia vs COVID19, or pneumonia vs normal) mostly on CT which is less suitable for contagious diseases. In these previous studies, twoclass prediction performance was computed and yielded fine results but could not achieve the highest performance as compared to our approach. The aim of this research was to improve the prediction performance by extracting texture and morphological features from CXR images. As the machinelearning performance is still a challenging task to extract the most relevant and appropriate features by the researchers. The results reveal that features extracted using our approach contain the most pertinent and appropriate hidden information present in the COVID19 lung infection which improved the twoclass and multiclass classification. These features are then used as input to the robust machinelearning classifiers. The results obtained outperformed than these previously traditional methods.
There are several limitations of this study. This is a retrospective study with a small COVID19 sample size. Portable CXR is sensitive but not specific as the phenotypes of different lung infections are similar on CXR. We used only four classes (disease types). Future studies should expand to include additional lung disorders.
Conclusion
In conclusion, deep learning of texture and morphologicalbased features accurately distinguish CXR of COVID19 patients from normal subjects and patients with bacterial and nonCOVID19 viral pneumonia. This approach can be used to improve workflow, facilitate in early detection and diagnosis of COVID19, effective triage of patients with or without the infectious disease, and provide efficient tracking of disease progression.
Limitation and future directions
This study is specifically aimed to extract the texture features and apply the machinelearning algorithms to predict the COVID19 from multiclass. The texture features correctly predict the COVID19 from multiclass; however, in future, we will employ and optimize the deep convolutional neural network models including ResNet101, GoogleNet, AlexNet, InceptionV3 and use will use some other modalities, clinical profiles and bigger datasets.
Methods
Dataset
In this study, we used publicly available data of COVID19 and nonCOVID and normal chest CXR images. The COVID19 images were downloaded from https://github.com/ieee8023/covidchestxraydataset [47] on Mar 31, 2020. The original download contained 250 scans of COVID19 and SARS of CT and CXR taken in multiple directions. Two boardcertified chest radiologists (one with 20â€‰+ years of experience) and one 2nd year radiology resident evaluated the images for quality and relevance. Only CXR from COVID19 taken at anteriorâ€“posterior (AP) direction was included in this study, resulting in a final sample size of 130. The other dataset was taken from the Kaggle chest Xray image (pneumonia) dataset (https://www.kaggle.com/paultimothymooney/chestxraypneumonia) [42]. Although the Kaggle database has a large sample size, we randomly selected a sample size comparable to that of COVID19. The sample chosen for the bacterial pneumonia, nonCOVID19 viral pneumonia, and normal CXR were 145, 145, and 138, respectively. We first split the dataset into training and testing data with a 70% and 30% ratio using a stratified sampling method. Then for feature selection, we only used the training data instead of the whole dataset. FigureÂ 2 below outlines the workflow and steps used in this study.
FigureÂ 2 outlines the workflow with the initial input of lung CXRs going through feature extraction for textureâ€‰+â€‰morphological analysis followed by the AI classifiers to determine the sensitivity, specificity, PPV, NPV, accuracy, and AUC of the four groups of interest (COVID19, bacterial and viral pneumonia, and normal). These calculations are further outputted for data validation with fivefold crossvalidation technique. Finally, data are statistically analyzed for significance using MATLAB 2018b and RStudio 1.2.5001.
Texture features
The texture features are estimated from the Greylevel Cooccurrence Matrix (GLCM) covering the pixel (image) spatial correlation. Each GLCM input image \(\left( {u,v} \right){\text{th}}\) defines how often pixels with intensity value \(u\) cooccur in a defined connection with pixels with intensity value \(v\). We extracted secondorder features consisting of contrast, correlation, mean, entropy, energy, variance, inverse different moment, standard deviation, smoothness, root mean square, skewness, kurtosis, and homogeneity previously used in [48,49,50,51,52,53,54].
Morphological features
Morphological feature plays an important role in the detection of malignant tissues. Morphological features convert image morphology into a set of quantitative values that can be used for classification [55]. Morphological featureextracting method (MFEM) is a nonlinear filtering process and its basic purpose is to search and find valuable information from an image and transform it morphologically according to the requirements for segmentation [56] and so on. The MFEM takes binary cluster as an input and finds the associated components in the clusters having an area greater than a certain threshold. There are several features that can be extracted from an image and area can be calculated from the number of pixels of an image. Area and perimeter combined helps to calculate the values of other different morphology features. The following formulas in [50] can be used to calculate the values of morphological features.
Classification
We applied and compared five supervised machinelearning classification algorithms: XG boosting linear (XGBL), XG boosting tree (XGBtree), classification and regression tree (CART), knearest neighbor (KNN) and NaÃ¯ve Bayes (NB). We used XGB ensemble methods in this study. In machine learning, ensemble is the collection of multiple models and is one of the selfefficient methods as compared to other basic models. Ensemble technique combines different hypothesis to hopefully provide best hypothesis. Basically, this method is used for obtaining a strong learner with the help of combination of weak learners Experimentally, ensembles methods provide more accurate results even there is considerable diversity between the models. Boosting is a most common types of ensemble method that works by discovering many weak classification rules using subset of the training examples simply by sampling again and again from the distribution.
XGBoost algorithms
Chen and Guestrin proposed XGBoost a gradable machinelearning system in 2016 [57]. This system was most popular and became the standard system when it was employed in the field of machine learning in 2015 and it provides us with better performance in supervised machine learning. The Gradient boosting model is the original model of XGBoost, which combine and relates a weak base with stronger learning models in an iterative manner [58]. In this study, we used XGBoost linear and tree with following optimization parameters.
We used the following parameter of each model in this study. For XGBlinear we initialized the parameters as lambdaâ€‰=â€‰0, alphaâ€‰=â€‰0 and etaâ€‰=â€‰0.3, where lambda and alpha are the regularization term on weights and eta is the learning rate. For XGBTree, we initialized the parameters with maximum depth of tree i.e., maxdepthâ€‰=â€‰30, learning rate etaâ€‰=â€‰0.3, maximum loss reduction i.e., gammaâ€‰=â€‰1, minimum child weightâ€‰=â€‰1, subsampleâ€‰=â€‰1. The nearest neighbor kâ€‰=â€‰5 was used. For CART, we initialized parameters with minsplitâ€‰=â€‰20, complexity parameter, i.e., cpâ€‰=â€‰0.01, maximum depthâ€‰=â€‰30. For NaÃ¯ve Bayes, we initialized the parameters with search methodâ€‰=â€‰grid, laplaceâ€‰=â€‰0, and adjustâ€‰=â€‰1.
Classification and regression tree (CART)
A CART is a predictive algorithm used in the machine learning to explain how the target variable values can be predicted based on the other values. It is a decision tree where each fork is a split in a predictor variable and each node at the end has a prediction for the target variable. Decision tree (DT) algorithm was first proposed by Breiman in 1984 [59], is a learning algorithm or predictive model or decision support tool of Machine Learning and Data Mining for the large size of input data, which predict the target value or class label based on several input variables. In decision tree, the classifier compares and checks the similarities in the dataset and ranked it into distinct classes. Wang et al. [60] used DTs for classifying the data based on choice of an attribute which maximizes and fix the data division. Until the conclusion criteria and condition is met, the attributes of datasets are split into several classes. DT algorithm is constructed mathematically as:
Here the number of observations is denoted by m in the above equations, n represent number of independent variables, S is the mdimension vector spaces of the variable forecasted from \(\overline{X}\) in the above equation. \(X_{i}\) is the ith module of ndimension autonomous variables \(x_{i1} ,x_{i2} ,x_{i3} , \ldots ,x_{in}\) are autonomous variable of pattern vector \(X_{i}\) and T is the transpose symbol.
The purpose of DTs is to forecast the observations of \(\overline{X}\). From \(\overline{X}\), several DTs can be developed by different accuracy level; although, the best and optimum DT construction is a challenge due to the exploring space has enormous and large dimension. For DT, appropriate fitting algorithms can be developed which reflect the tradeoff between complexity and accuracy. For partition of the dataset \(\overline{X}\), there are several sequences of local optimum decision about the feature parameters are used using the Decision Tree strategies. Optimal DT, \(T_{k0}\) is developed according to a subsequent optimization problem:
In the above equation, \(\hat{R}\left( T \right)\) represents an error level during the misclassification of tree \(T_{k}\), \(T_{k0}\) represented the optimal DT that minimizes an error of misclassification in the binary tree, T represent a binary tree \( \in \left\{ {T_{1} ,T_{2} , \ldots ,T_{k} ,t_{1} } \right\}\), the index of tree is represented by k, tree node with t, root node by t1, resubstituting an error by r(t) which misclassify node t, probability that any case drop into node t is represented with p(t). The left and right sets of partition of sub trees are denoted by \( T^{L} \; {\text{and}}\; T^{R}\). The result of feature plan portioning the tree T is formed.
NaÃ¯ve Bayes (NB)
The NB [61] algorithm is based on Bayesian theorem [62] and it is suitable for higher dimensionality problems. This algorithm is also suitable for several independent variables whether they are categorical or continuous. Moreover, this algorithm can be the better choice for the average higher classification performance problem and have minimal computational time to construct the model. NaÃ¯ve Bayes classification algorithm was introduced by Wallace and Masteller in 1963. NaÃ¯ve Bayes relates with a family of probabilistic classifier and established on Bayes theorem containing compact hypothesis of independence among several features. NaÃ¯ve Bayes is most ubiquitous classifier used for clustering in Machine Learning since 1960. Classification probabilities are able to compute using NaÃ¯ve Bayes method in machine learning. NaÃ¯ve Bayes is utmost general classification techniques due to highest performance than the other algorithm such as decision tree (DT), Cmeans (CM) and SVM. Bayes decision law is used to find the predictable misclassification ratio whereas assuming that true classification opportunity of an object belongs to every class is identified. NB techniques were greatly biased because its probability computation errors are large. To overcome this task, the solution is to reduce the probability valuation errors by NaÃ¯ve Bayes method. Conversely, dropping probability computation errors did not provide the guarantee for achieving better results in classification performance and usually make it poorest because of its different biasvariance decomposition among classification errors and probability computation error [63]. NaÃ¯ve Bayes is widely used in present advance developments [64,65,66,67] due to its better performance [68]. NaÃ¯ve Bayes techniques need a large number of parameters during learning system or process. The maximum possibility of NaÃ¯ve Bayes function is used for parameter approximation. NB represents conditional probability classifier which can be calculated using Bayes theorem: problem instance which is to be classified, described by a vector \(Y = \left\{ {Y_{1} , Y_{2} , Y_{3} , \ldots ,Y_{n} } \right\}\) shows n features spaces, conditional probability can be written as:
For each class \(N_{k}\) or each promising output, statistically Bayes theorem can be written as:
Here, \(S\left( {N_{k} {}Y} \right)\) represents the posterior probability while \(S\left( {N_{k} } \right)\) represents the preceding probability, \(S\left( {YN_{k} } \right)\) represents the likelihood and \(S\left( Y \right)\) represents the evidence. NB is represented mathematically as:
Here \(T = S\left( y \right)\) is scaling factor which is depends upon \((Y_{1} , Y_{2} , Y_{3} , \ldots ,Y_{n} )\), \(S\left( {N_{k} } \right)\) is a parameter used for the calculation of marginal probability and conditional probability for each attribute or instances is represented by \(S(Y_{i} N_{k} )\). NaÃ¯ve Bayes become most sensitive in the presence of correlated attributes. The existence of extremely redundant or correlated objects or features can bias the decision taken by NaÃ¯ve Bayes classifier [67].
Knearest neighbor (KNN)
KNN is most widely used algorithm in the field of machine learning, pattern recognition and many other areas. Zhang [69] used KNN for classification problems. This algorithm is also known as instance based (lazy learning) algorithm. A model or classifier is not immediately built but all training data samples are saved and waited until new observations need to be classified. This characteristic of lazy learning algorithm makes it better than eager learning, that construct classifier before new observation needs to be classified. Schwenker and Trentin [70] investigated that this algorithm is also more significant when dynamic data are required to be changed and updated more rapidly. KNN with different distance metrics were employed. KNN algorithm works according to the following steps using Euclidean distance formula.
Step I: To train the system, provide the feature space to KNN.
Step II: Measure distance using Euclidean distance formula:
Step III: Sort the values calculated using Euclidean distance using \(d_{i} \le d_{i} + 1, \;{\text{where}}\; i = 1,2,3, \ldots ,k\).
Step IV: Apply means or voting according to the nature of data.
Step V: Value of K (i.e., number of nearest Neighbors) depends upon the volume and nature of data provided to KNN. For large data, the value of k is kept as large, whereas for small data the value of k is also kept small.
In this study, these classification algorithms were performed using RStudio with typical default parameters for each of the classifiers (XGBL, GXBtree, CART, KNN, NB) with a fivefold crossvalidation. As we divided our dataset into train and test sets, so while training a classifier on train data we used the Kfold crossvalidation technique, which shuffles the data and splits it into k number of folds (groups). In general, Kfold validation is performed by taking one group as the test data set, and the other kâ€‰âˆ’â€‰1 groups as the training data, fitting and evaluating a model, and recording the chosen score on each fold. As we used fivefold crossvalidation, so the train set is equally divided into five parts from which one is used as validation and the other four used for training of classifier on each fold.
Performance evaluation measures
The performance was evaluated with the following parameters.
Sensitivity
The sensitivity measure also known as TPR or recall is used to test the proportion of people who test positive for the disease among those who have the disease. Mathematically, it is expressed as:
i.e., the probability of positive test given that patient has disease.
Specificity
The TNR measure also known as specificity is the proportion of negatives that are correctly identified. Mathematically, it is expressed as:
i.e., probability of a negative test given that patient is well.
Positive predictive value (PPV)
PPV is mathematically expressed as:
where TP denotes that the test makes a positive prediction and subject has a positive result under gold standard while FP is the event that test make a positive perdition and subject make a negative result.
Negative predictive value (NPV)
NPV can be computed as:
where TN indicates that test make negative prediction and subject has also negative result, while FN indicate that test make negative prediction and subject has positive result.
Accuracy
The total accuracy is computed as:
Receiveroperating characteristic (ROC) curve
Based on sensitivity, i.e., truepositive rate (TPR) and specificity, i.e., falsepositive rate (FPR) values of COVID19 and nonCOVID subjects. The mean values for COVID19 subjects are classified as 0 and for nonCOVID subjects are classified as 1. Then obtained vector is passed through ROC function, which plots each value against sensitivity and specificity values. ROC is considered as one of the standard methods for computation and graphical representation of the performance of a classifier. ROC plots FPR against xaxis and TPR against yaxis, while part of a square unit is represented by area under the curve (AUC). The value of AUC lies between 0 and 1 where AUCâ€‰>â€‰0.5 indicates the separation. Higher area under the curve represents the better and improved diagnostic system [71]. The number of correct positive cases divided by the total number of positive cases represents TPR. While the number of negative cases predicted as positive cases divided by the total number of negative cases represent FPR [72].
Training/testing data formulation
The Jackknife fivefold crossvalidation (CV) technique was applied for the training and testing of data formulation and parameter optimization. It is one of the most well known, commonly practiced, and successfully used methods for validating the accuracy of a classifier using fivefold CV. The data are divided into fivefold in training, the fourfold participate, and classes of the samples for remaining folds are classified based on the training performed on fourfold. For the trained models, the test samples in the test fold are purely unseen. The entire process is repeated five times and each class sample is classified accordingly. Finally, the unseen samples classified labels that are to be used for determining the classification accuracy. This process is repeated for each combination of each systemsâ€™ parameters and the classification performance have been reported for the samples as depicted in the Tables 1, 2, 3 and 4.
Statistical analysis and performance measures
Analyses examining differences in outcomes used unpaired twotailed t tests with unequal variance. Receiveroperating characteristic (ROC) curve analysis was performed with COVID19, normal, bacterial, and nonCOVID19 viral pneumonia as ground truth. The performance was evaluated by standard ROC analysis, including sensitivity, specificity, positive predictive value (PPV), negative predictive value (NPV), accuracy, area under the receiveroperating curve (AUC) with 95% confidence interval, and significance with the P value. AUC with lower and upper bounds and accuracy were tabulated. MATLAB (R2018b, MathWorks, Natick, MA) and RStudio 1.2.5001 were used for statistical analysis.
Abbreviations
 MERS:

Middle East respiratory syndrome
 WHO:

World Health Organization
 ARDS:

Acute respiratory distress syndrome
 RTPCR:

Polymerase chain reaction
 CT:

Computed tomography
 CXR:

Chest Xray
 CAD:

Computeraided diagnostic
 BNs:

Bayesian networks
 SVM:

Support vector machine
 ANNs:

Artificial neural networks
 kNN:

Knearest neighbors
 DTs:

Adaboost, decision trees
 SIFT:

Scaleinvariant Fourier transform
 EFDs:

Elliptic Fourier descriptors
 ML:

Machine learning
 DCNN:

Deep convolutional neural network
 CV:

Crossvalidation
 ROC:

Receiveroperating characteristic
 PPV:

Positive predictive value
 NPV:

Negative predictive value
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LH conceptualized the study, analyzed data and wrote the paper. TN conceptualized the study, and edited the paper. AAA edited the paper. KJL edited the paper. ZZ edited the paper. MZ edited and reviewed the paper. AC edited the paper. TQ conceptualized the study and edited the paper. All the authors read and approved the final manuscript.
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Hussain, L., Nguyen, T., Li, H. et al. Machinelearning classification of texture features of portable chest Xray accurately classifies COVID19 lung infection. BioMed Eng OnLine 19, 88 (2020). https://doi.org/10.1186/s1293802000831x
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DOI: https://doi.org/10.1186/s1293802000831x