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Malekzadeh A, Zare A, Yaghoubi M, Alizadehsani R. A Method for Epileptic Seizure Detection in EEG Signals Based on Tunable Q-Factor Wavelet Transform Method Using Grasshopper Optimization Algorithm With Support Vector Machine Classifier. Intern Med Today 2021; 28 (1) :98-127
URL: http://imtj.gmu.ac.ir/article-1-3796-en.html
1- Department of Electrical Engineering, Faculty of Electrical Engineering, Gonabad Branch, Islamic Azad University, Gonabad, Iran.
2- Department of Electrical Engineering, Faculty of Electrical Engineering, Gonabad Branch, Islamic Azad University, Gonabad, Iran. , assefzare@gmail.com
3- Department of Electrical Engineering, Faculty of Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
4- Institute for Intelligent Systems Research and Innovation (IISRI), Deakin University, Geelong, Australia.
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Epilepsy is a chronic noncommunicable neurological disorder which can affect people at any age [1]. It is a common brain disease and approximately 50 million people wordwide are suffering from it. Eighty percent of patients with this disease live in low- or middle-income countries. Seventy percent of these patients can have a seizure-free life if treated and diagnosed properly. The risk of premature death is three times higher in these patients than in general population. Three quarters of epilepsy patients dwelling in developing countries cannot afford to recive treatment [2]. These patients and their families suffer from discrimination and stigma. Generalized-onset and focal-onset seizures are two types of epilepsy [3]. Focal epilepsy affects one area of the brain. It is important to locate that area of the brain for proper medical attention. It is estimated that 60% of patients with focal epilepsy and 20% of those with generalized epilepsy become resistant to drugs and need surgery [4]. 
Various methods for epileptic seizure detection have been provided so far, including clinical methods and neuroimaging modalities; the latter are widely used by physicians [12]. Generally, neuroimaging modalities are categorized into functional and structural modalities [1 ,23]. Electroencephalography (EEG) is a functional neuroimaging modality for epileptic seizure detection [12]. EEG signals provide essential information from the affected area which helps physicians to detect epileptic seizures with a higher accuracy [1 ,23]. The diagnosis of epileptic seizures by EEG signals is a challenging task for physicians [12]. The EEG signals are accompanied by relatively high complexity, which makes it difficult or challenging to correctly diagnose epile  seizures [12]. Accordingly, researchers have attempted to use Artificial Intelligence (AI) including Machine Learning (ML) [4 ,5, 6] and Deep Learning (DL) [7, 8] to diagnose epileptic seizures early via EEG signals. In ML-based Computer-Aided Diagnosis (CAD) system, the feature extraction techniques include time [9], frequency [10], time-frequency [11], and non-linear methods [12]. In DL-based CAD system, the methods for epileptic seizures detection include Autoencoders (AEs) [13, 14], Recurrent Neural Networks (RNNs) [1516], Convolutional Neural Networks (CNNs) [1718], and Deep Belief Networks (DBNs) [19].
Abedin et al. [45] provided an epileptic seizure detection method based on statistical features and achieved promising results. They first used a Bonn dataset and Discrete Wavelet Transform (DWT) method to preprocess and analyze EEG signals based on different sub-bands. Then, each DWT sub-band was examined to extract some statistical properties, and Artificial Neural Network (ANN) was employed for data classification. Singh et al. [48] proposed a new method for epileptic seizure detection from Bonn EEG dataset. They used Complete Ensemble Empirical Mode Decomposition (CEEMD) and Refined Composite Multiscale Dispersion Entropy (RCMDE) methods to conduct preprocessing and extract properties, and tested various methods for feature selection to reduce the size of the feature matrix. Finally, the ANN classifier technique was applied which led to promising outcomes. Aliyu et al. [49] presented an epileptic seizure detection method by selecting optimal wavelet transforms. To analyze EEG data, DWT was used to break them down into multiple sub-bands and extract various statistical information from each one. As a result, Correlation Coefficient and P-value (CCP) feature and Principal Component Analysis (PCA) were used to minimize the specificity. A Long Short-Term Memory (LSTM) model with the proposed layers was applied to categorize the inputs, resulted in 99% accuracy. Sameer and Gupta [50] considered Haralick texture features to present a method for detecting epileptic seizures from EEG signals, converted to two-dimensional images using Short-Time Fourier Transform (STFT) to extract Haralick texture features. Finally, the Decision Tree (DT) method was applied for categorization. The results reported 92.50% accuracy. Qureshi et al. [51] utilized Fractal Dimension (FD) and graph theories for feature extraction and used Electroconvulsive Therapy (ECT) for EEG signals pre-processing as the first stage of the study. Then, they extracted graph theory and FD-based features from EEG signals. Finally, they applied the Radio-Frequency (RF) method for classification and reached 98.50% accuracy. 
The current study provides a novel method based on the extraction of statistical and non-linear features, feature reduction, and classification by the Grasshopper Optimization Algorithm and Support Vector Machines (GOA/SVM) model. The Bonn EEG dataset was used for epileptic seizures detection. Figure 1 illustrates the proposed method for epileptic seizure detection from EEG signals.

Various wavelet transformations has been employed in different studies. The Tunable Q-Factor Wavelet Transform (TQWT) approach is one of the best methods for EEG signals pre-processing [20], which is more efficient than DWT for preprocessing and analyzing EEG signals based on different frequency subbands. We used the TQWT for preprocessing of EEG signals. Analyzing EEG signals by the TQWT method can imorove the accuracy of epileptic seizure detection. Various statistical and nonlinear features of EEG signals were extracted in the next stage. The AE model with the proposed layers was used to reduce the number of features which is a novel technique used in this study. The second novelty of this study is the use of the GOA combined with the SVM classifier. The GOA has not been used so far for epileptic seizure detection along with SVM. The GOA improves gradient optimization in terms of speed and performance. Gradient optimization algorithms are usually slow, and the selection of wrong parameters can lead to inefficiency. Moreover, these methods are not efficient for all problems. Thus, metaheuristic algorithms, such as genetic algorithm [53], particle swarm optimization [54], and breeding swarm [55] are applied for optimizing the classification algorithms. This paper is structured as following: Section 2 presents the methodology; the statistical metrics are presented In section 3; the results are shown in Section 4, and conclusions are presented in Section 5.
2. Material and Methods 
In this section, the proposed method for epileptic seizures detection in EEG signals is presented at following steps: Data selection, preprocessing, feature extraction, feature reduction, and classification.
Data seelction
The Bonn dataset was used in this study which has been recorded at the University of Bonn by a group of researchers and it had been widely used for epileptic seizure analysis and detection [22]. Bonn dataset is a publicly available dataset containing 500 single-channel EEG data. It was sampled at 173.6 Hz for 23.6 seconds. They consisted of five classes’ viz. S, F, N, O, and Z with 100 segments recordings in each class [22]. The O and Z data were collected from 5 healthy controls in a relaxed postion and awake state and using the 10-20 electrode placement standard. Intracranial electrodes were used on 5 patients with epilepsy to collect data of S, F and N classes. The epileptogenic zone and the opposite hemisphere were used for recording the signals of F and S classes, respectively during interictal period. Ictal period was taken into account for recording the signals of class S. Cutoff frequencies in the range of 0.53-40 Hz were applied with finite impulse response and 20 order band-pass filter for filtering of EEG data [22]. Figure 2 shows the EEG signals of the Bonn dataset.

Other information about this database are presented in Tables 1 and 2.

For pre-processing of the EEG signals, the TQWT was used. It is a special type of DWT and is used in biomedical signal studies [20]. In TQWT, parameters include the redundancy, number of decomposition levels and Q-factor. Oscillatory signals are analyzed using higher Q-factors and transients are analyzed with lower Q-factors. The two-channel filter bank is applied for implementing TQWT. Low- and high-pass scale factors for this filter banks are represented by γ and δ. The mathematical expression for the frequency response to low-pass filter and high-pass filter are presented in Equations 1 and 2, respectively [20]:

For further information regarding the TQWT, see reference [20]. The TQWT parameters were selected similar to those reported in Ghassemi et al.’s study [34] (Q= 1, r = 3, and J= 8). In Figure 3, the TQWT sub-bands are illustrated based on the defined parameters.

The TQWT frequency response is shown in Figure 4

Feature extraction 
In this section, we presented different feature extraction methods for epileptic seizures detection. Frist, the TQWT was used for EEG signals decomposition. Different features such as statistical features, non-linear features based on FD method and non-linear features based on entropy algorithms were extracted from the TQWT sub-bands. 
Statistical features 
Five statistical features were extracted from the TQWT subbands [23] presented in Table 3.

FD-based features 
The FD-based non-linear features provide significantly important information regarding EEG signals. The EEG signals have chaotic behavior; the non-linear methods such as FD technique can extract important information from EEG data. The non-linear features extracted from the TQWT sub-bands based on FD method were Katz, Higuchi, and Petrosian, and hurst exponenet. 
Higuchi’s method 
Consider x(1),x(2),…, x(N) as the time sequence that should be examined. Create k new time series xmk defined by [12]:

, where [a] indicates integer part of a, k shows the discrete time interval between points, and m indicates the initial time value. For each created time series, the mean length Lm(k) is defined as [25]: 

An average length k is computed for all time series with the same delay k as the mean of k length Lm(k) for m=1,…, k. For each k ranging from 1 to kmax, the procedure is repeated producing a sum of average length L(k) for each k as indicated below [12]: 

The total average length for scale k, L(k) is proportional to k-D, where D is the FD by Higuchi method [12].
Katz’s method 
The FD of a curve based on Katz’s method is defined as [12]: 

where d is the estimated diameter as the distance between the first point of the sequence and the points of sequence that provides the farthest distance, and L is the total length of the curve. d can be expressed mathematically as [12]: 
7) d = max (distance(1,i))
where i is the one that maximizes the distance with respect to the first point. The use of measurement units depends on the computed FDs which are different if the units are different. Katz’s approach tries to solve the problem by creating a general unit: the average distance between successive points a. Normalizing distances by this method can lead to [25]:

If n= L/a, where n is the number of steps in the curve, the above equation can be written as Equation 9 which summarizes the Katz’s approach for measuring DF of a EEG signal [12].

Petrosian method 
The FD based on Petrosian method is defined as follows [12]:

where N∆ is the number of dissimilar pairs and n is the length of the sequence in the generated binary sequence [12]. 
Hurst Exponent 
The equation of Hurst Exponent (HE) is as follows [26]: 

where S is the standard deviation, T is the duration of sample data and R represents the difference between the minimum and maximum deviation from the mean.
Entropy features 
Different entropy algorithms were used to extract the features of EEG signals
Shannon entropy
Shannon entropy is a fundamental entropy technique for feature extraction in EEG signals [26]. It is defined as follow:

where Pi is the probability of occurrence of i-th symbol. 
Log Energy entropy
The log energy entropy can be defined as [26]: 

where K and denote the length of the EEG signal and ith sample of the EEG signal, respectively.
Sample entropy
The sample entropy is defined as [26]: 
14) SampEn=-log(A/B)
Where A refers to the total number of vector pairs of length m + 1, and B shows the total number of vector pairs of length m. 
Tsallis entropy
The tsallis entropy is defiend as [26]: 

where the probability of occurrence is shown by En, and Pn is the feature value of the feature P that has the range of values from P1 to Px [26]. 
Fuzzy entropy 
For a time series x(i), i={1,…..,N}, standard fuzzy entropy or FuzzyEn [27] establishes vector sequences{Xim,i=1,….,N-m+1} as defined below [26]: 
16) Xim={x(i),x(i+1),…,x(i+m-1)}-x0 (i)
Where the length of sequences is denoted by m, and x0 (i) is a baseline.is the similarity degree using fuzzy membership function for the vector and replacing the Heaviside function [26].

where r and n are predefined gradient and width of the exponential function, and Dijm is the maximum absolute difference between Xim and Xjm.∅m .function is defined as follow [26]:

The sequences {Xi(m+1)} is generated by m ←m+1 setting m ←m+1 and ∅(m+1)(n,r) is constructed afterwards. Time series x(i) for input for FuzzyEn is generated ∅(m+1)(n,r) deviated from ∅(m+1)(n,r) as given below [26]: 
19) FuzzyEn(m,n,t,N)=ln ∅m(n,r)-ln∅(m+1)(n,r)
Recurrence entropy 
The recurrence entropy is defined as follow [26]: 

Where R(n) is the frequency distribution of the diagonal lines with length n [26]. 
Spectral entropy 
The Spectral Entropy (SEN) is defined as [26]: 

Graph entropy 
The graph theory-based entropy is defined as follows [27]: 

Feature reduction
Feature reduction is one of the important steps for disease diagnosis in the CAD system. The main goal of feature reduction is to apply important features to the inputs of classification algorithms [28]. This increases the classification speed and the accuracy of inputs [28]. Feature reduction is performed regularly with conventional ML and DL techniques. In this study, an AE model with 7 layers was used for feature reduction. Contrary to conventional techniques such as PCA, the feature reduction by AE method has higher performance [28]. Figure 5 shows the AE model with proposed layers. By this method, the number of features was reduced from 153 to 32. 

Support Vector Machine

SVM is one of the prominent classifiers used in ML. It creates an optimal margin hyperplane in the feature space that maximizes the margin between the nearest data points of each class and hyperplane. For linearly inseparable data, kernel functions are used to map the samples into a higher dimensional feature space where the data become linearly separable [29]. In this study, we used the GOA combined with the SVM classifier.
GOA algorithm 
SVM is one of the most popular classification methods. By optimizing the important parameters of this method, including its kernels, the accuracy of the CAD system for diagnosing epilepsy can be improved. In this study we used the GOA algorithm for the optimization of SVM classification method. The model applied to simulate the behavior and movement of grasshoppers is defined as follows [21]: 
24) mXi (t+1)=S1(t)+Gi(t)+Ai(t),
i=1,2,…,nPop     t=1,2,…,tMax

where, is the position of the i-th grasshopper at the t-th iteration, is the social interaction of the i-th grasshopper at the t-th iteration shows the gravity force on the i-th grasshopper at the t-th iterationand indicates the wind advection on the i-th grasshopper at the t-th iteration
The social interaction of grasshopper is defined as [21]:

dij: The distance between the i-th and the j-th grasshopper, computed as dij=|x(i)-x(j)|
d̂ij: A unit vector from the i-th grasshopper to the j-th grasshopper, calculated as 
S: A function to define the strength of social forces which is explained as follows:
26) s(d)=fe-e-d
where f is an indicator of the attraction intensity, and l is the attractive length scale. The s function demonstrates the impact of social interactions (repulsion and attraction) of grasshoppers. Figure 6 shows the primitive corrective patterns between individuals in a swarm of grasshoppers [21]. 

The gravity force on the i-th grasshopper is defined as follows, where g is the gravity force and represents a unity vector towards the center of earth.
27) Gi=-geg
The wind advection on the i-th grasshopper is calculated as follows, where u is the constant drift and is the unit vector of the wind [21]:
28) Ai=-uew
Now, according to the employed definitions, we can expand the Equation 24 as follows [21]: 

The Equation 29 cannot be used in the optimization since it prevents the algorithm from exploring and exploiting decently in the search space around a solution. The second reason is that this equation is for outdoor modeling. To modify the Equation 29 and provide a functional model of the GOA algorithm to update the location of each grasshopper, we rewrite it as follows [21]: 

Where, is the upper bound in the D-th dimension, lbd is the lower bound in the D-th dimension, and is the value of the D-th the dimension in the target, and c is a decreasing coefficient  [21]. Equation 31 defines the next position of the grasshopper  [21]: 

where, is the next position of the grasshopper i, is the current position of the grasshopper i, is the position of all other grasshoppers, and is the target position  [21]. The parameter c is calculated as  [21]: 

where is the maximum value C (usually close to 1), is the minimum value C (usually close to +0), t is the current iteration, and tMax is the maximum iteration. The adaptive parameter c is used twice in Equation 32; the first c establishes a balance between exploration and exploitation. This c is highly resembling the w parameter in the PSO optimization algorithm. The second c reduces the attraction zone, comfort zone, and repulsion zone between grasshoppers (Equation 33)  [21].

K-nearest neighbor 
We also used the K-Nearest Neighbor (KNN) for feature classification. The KNN is a simple algorithm that store all available cases and classifies the new cases based on distance functions [31]. KNN is utilized in pattern recognition and statistical estimation as a non-parametric method. Majority vote of the neighbors is considered to classify a case. By meauring the distance function, a class is being assigned to a case. The advantages of KNN includes: (a) it is easy to implement and simple, (b) it can be used for regression and classification problems, and (c) there is no need to tune parameters, make extra assumptions or build a model. Howerev, its disadvantage is that as the number of independent variables or predictors increase, the performance of the algorithm decreses significantlly.
Random forest 
The interpretability of DT method and their logical course of training have always attracted the attention of researchers, but one of the problems of this method is its quick overfitting. Random Forest (RF) is one of the methods to solve this problem. In this study, it was also used for classification of features. It has high accuracy, appropriate learning speed, and ability to separate data in high-dimensional spaces. By training different DTs and voting among them, these models become more robust to outliers and noises [31].
The classification results were evaluated using 10-fold cross validation method. The performance of the algorithm was estimated using metrics such as Specificity (Spec), Sensitivity (Sens), Accuracy (ACC), Precision (Prec), and F1-Score (FS) whose equations are presented below. These terminologies are extracted from confusion matrix which consists of True Positive (TP), False Negative (FN), True Negative (TN) and False Positive (FP) [22].
In this study, in order to implement the proposed method for detection of epileptic seizures, a system with 16 GB RAM, Nvidia GeForce GTX 1070, and Intel Core i7 was used. The preprocessing and feature extraction were conducted in MATLAB 2019a. The the AE method and classification techniques were implemented using Python, Keras, and Scikit-learn softwares [3, 34]. In the proposed method, the Bonn dataset was used for the diagnosis of epileptic seizures. As indicated in Table 2, we used six different classification problems. First, the EEG signals from the Bonn dataset were decomposed into 5-second time windows. Then, the TQWT was used for signal decomposition into different frequency sub-bands. Next, different statistical and non-linear features were extracted from the TQWT sub-bands. In this regard, 153 features were extracted. The AE method with 7 layers was used for feature reduction. By this method, the number of features was reduced to 32. At the end, different algorithms were used for classification. 
When optimization algorithms such as medical data classification are used in ML, researchers often perform the method several times in a same conditions to obtain valid results. In this regard, we performed all classification algorithms 10 times in a exactly same conditions to obtain valid results. The results of each classification algorithm for different modes are presented in Table 4.

According to the results, by using the GOA/SVM method, higher accuracy was obtained compared to other classification algorithms.
Discussion and Conclusion
Epilepsy is a brain disorder, which is known as a neurological disorder and causes seizures or abnormal behavior, emotions, and sometimes anesthesia [12, 34]. One of the most commonly used functional neuroimaging methods fro the diagnosis of epileptic seizures is EEG. It can find the exact location of epilepsy, and its recording is less expensive than other neuroimaging methods [1234]. EEG signals cause some challenges for physicians despite their advantages. EEG recording is conducted in a long-term period to detect epileptic seizures, which challenges physicians for accurately locating the disease. Epileptic seizures are difficult to diagnose because EEG images often contain a variety of internal and external abnormalities. A novel method for epileptic seizure detection was presented in this study based on ML and DL techniques to overcome these challenges. Preprocessing of TQWT subbands, extraction of statistical and nonlinear features, feature reduction by a DL-based AE method, and classification by the GOA/SVM model were used in this study to detect epileptic seizures from EEG signals. Adopting the features extracted in this study improved the accuracy of epileptic seizures detection. Table 5 compares the results of the proposed method with other methods used EEG signals for epileptic seizures detection.

The results of the proposed method were more accurate than other methods due to proper preprocessing, feature extraction, feature selection, and classification. The proposed method can be implemented in a hardware or software to help physicians detect epileptic seizures. Future research can focus on new techniques of DL such as attention learning, graph, and q-learning for epileptic seizures detection using EEG signals [56575859, 60]. Deep feature fusion techniques can also be used in future studies, as well a the combination of handcrafted features with DL techniques for epileptic seizures detection [616263].


Ethical Considerations
Compliance with ethical guidelines

No ethical approval was needed, since no any experiment on human or anaimal samples were conducted.

The paper was extracted from the PhD. dissertation by Anis Malekzadeh/Assef Zare/Mehdi Yaghoubi, at Department of Electrical, Technical Engineering, Islamic Azad University.

Authors' contributions
All authors equally contributed to preparing this article. 

Conflicts of interest
The authors declared no conflict of interest. 

The authors would like to thank the Deputy for Research of Islamic Azad University of Gonabad branch for their cooperation. 

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Type of Study: Original | Subject: Diseases
Received: 2021/09/18 | Accepted: 2021/12/4 | Published: 2022/01/1

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