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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>A. J. I. Barbhuiya and K. Hemachandran, "Wavelet tranformations &amp; its major applications in
digital image processing," International Journal of Engineering Research &amp; Technology
(IJERT), ISSN</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.1007/s13244-018-0639-9</article-id>
      <title-group>
        <article-title>Seizure Prediction using Two-Dimensional Discrete Wavelet Transform and Convolution Neural Networks</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Gehan Mohamed</string-name>
          <email>gehan.mohamed@student.aast.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Hassan Eldib</string-name>
          <email>hassaneldib@aast.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Maha Sharkas</string-name>
          <email>msharkas@aast.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Arab Academy for Science and Technology</institution>
          ,
          <addr-line>Alexandria</addr-line>
          ,
          <country country="EG">Egypt</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2021</year>
      </pub-date>
      <volume>2</volume>
      <issue>3</issue>
      <fpage>19</fpage>
      <lpage>21</lpage>
      <abstract>
        <p>Epilepsy is a condition that affects the nervous system. Seizures, strange behavior episodes, and occasional consciousness loss are all symptoms of this condition, which are caused by abnormal brain activity. It is one of the four most common neurological conditions that result in unprovoked and repeated seizures. This study proposes a prediction model that alerts patients early before the onset of epileptic seizures. The proposed model uses two-dimensional discrete wavelet transform (2D-DWT) on 23/30-s EEG time frames to identify essential signs to distinguish between the states of preictal and interictal. While a convolutional neural network (CNN) is used to predict epileptic seizures using discrete wavelet sub-bands, the proposed model predicts epileptic seizures adequately ahead of time and achieves remarkable results. On the CHBMIT scalp EEG dataset, the proposed method has a sensitivity of 96.54% and a false positive rate Epilepsy is a chronic condition that causes unprovoked and repeated seizures. A seizure is defined as an unexpected surge of electrical activity that attacks the brain [1]. Epilepsy is identified by seizures, affecting people of all ages [2, 3]. Seizures can be severe when they occur and can lead to injuries, brain damage, life-threatening situations, and even death [4].</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>proposed approach focuses on the pre-processing and the extraction of features, using the</p>
      <sec id="sec-1-1">
        <title>2D-DWT, from EEG signals to achieve a form suitable for a CNN. 2.</title>
      </sec>
      <sec id="sec-1-2">
        <title>Our approach was validated using the public scalp EEG CHB-MIT dataset.</title>
        <p>2020 Copyright for this paper by its authors.</p>
        <p>The paper at hand comprises the following: Section II presents the related work. Section III
presents the material and methods of the work. Experiments are illustrated in Section IV. Section V
presents the experimented results. Section VI presents the discussion. Finally, section VII concludes
the paper.</p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>2. Related Work</title>
      <p>A significant amount of research work for epileptic seizure prediction using EEG signals
and deep learning techniques has been conducted. Khan et al. [7] use CNN on the continuous
wavelet transform of the EEG signals to define and extract the quantitative identifying signs
for each of the three periods; interictal, preictal, and ictal. They adopt automatic feature
extraction techniques to foresee seizures from EEG made on the scalp so as to warn patients
about upcoming seizures. This method achieves a sensitivity of 87.8% and an FPR of
0.142/h. Usman et al. [8] propose a model that provides reliable pre-processing and feature
extraction methods. The proposed model predicts epileptic seizures sufficiently earlier prior
to the occurrence of a seizure and provides satisfyingly realistic results. Empirical mode
decomposition (EMD) for pre-processing is applied, and time and frequency domain features
are extracted to train a prediction model. This approach achieves a sensitivity of 92.23% and
a specificity of 93.38%. Chen et al. [9] use CNN to automatically extract features and classify
them. Their model is specially designed for each patient individually to identify each one’s
unique features. They tested the model with the CHB-MIT dataset and yielded a sensitivity of
91.4%, an accuracy of 91%, and an FPR of 0.09/h. Kitano et al. [10] propose a method that
is patient-specific using a pre-processing wavelet transform combined with self-organizing
maps (SOM), a polling-based technique, and an unsupervised machine learning algorithm.
This method offers sensitivity up to 98%, accuracy up to 91%, and specificity up to 88%.
Jana et al. [11] propose a method that predicts epileptic seizures automatically from raw EEG
signals. They use a Dense Convolution Network for interictal and preictal state classification
and automatic feature extraction. The specificity of this approach is 95.87%, and the FPR is
0.0413/h. For the time intervals of 0 – 5 minutes, 5 – 10 minutes, and 10 – 15 minutes prior
to the seizure episode, they produce average sensitivities of 100%, 97%, and 90%,
respectively. Xu et al. [12] propose an end-to-end, patient-specific method by adopting CNN
to solve seizure prediction issues. This method is tested on Kaggle intracranial and CHB-MIT
scalp EEG datasets. Their approach yields a sensitivity of 93.5%, an FPR of 0.063/h, and a
98.8%, 0.074/h on two datasets in order. Truong et al. [13] propose a technique that is
patient-specific for the prediction of an epileptic seizure. Their method is based on
convolutional neural networks for autonomous feature extraction and classification. The raw
EEG signal is transformed into a corresponding short-time Fourier transform for 30-second
EEG recordings to extract information in the frequency and time domains. The American
Epilepsy Society Seizure Prediction Challenge dataset, the Freiburg Hospital intracranial
EEG dataset, and the Boston Children's Hospital-MIT scalp EEG dataset were all used to test
this method. In total, the three datasets had a sensitivity of 81.4%, 81.2%, and 75%,
respectively, and a false prediction rate of 0.06/h, 0.16/h, and 0.21/h. Jana et al. [14]
demonstrated an effective seizure prediction method based on a Convolutional Neural
Network (CNN) with channel minimization. They employed CNN to automatically extract
features and classify epilepsy patients' states. Their proposed technique had an average
sensitivity and specificity of 97.83% and 92.36%, respectively, with a false positive rate of
0.0764 and an average classification accuracy of 99.47%. Whatever the strategy, all methods
mentioned work on epilepsy seizure prediction, some methods achieve low sensitivity or
report relatively high FPR while others did not mention the FPR. Some methods select a
limited number of patients and use a limited number of data recordings. Most of the models
are based on 1D-CNN, while our approach is based on 2D-CNN. This approach matches the
visual diagnosis carried out by the clinicians.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Materials and Methods</title>
    </sec>
    <sec id="sec-4">
      <title>3.1. Wavelet transform</title>
      <p>Wavelet transform is an image processing method for object detection and classification which is
frequently adopted in computer vision. Wavelets are mathematical functions generated from a mother
wavelet by dilations and translations [15, 16].</p>
      <p>These wavelet functions are calculated in order to break down a given function or time-series
signal into different scale components. One of the techniques used for multi-level decomposition is
Two-Dimensional DWT (2D-DWT). This 2D-DWT moves images from the spatial domain to the
frequency one. One level of 2D-DWT analyzes the given image by breaking it down into one
approximation coefficient with low-pass filtering and three detailed components with high-pass
filtering [17].</p>
      <p>By applying discrete wavelet transform as an image processing technique, transformation values
are yielded, known as wavelet coefficients. The 2D-DWT generates an image as a set of orthonormal
shifted and dilated wavelet and scaling functions. The discrete wavelet transform of functions f (x, y)
in two dimensions of an image of size MxN is given by:
 ∅( 0,  ,  ) =
   ( ,  ,  ) =
 = { ,  ,  },</p>
      <p>1
√</p>
      <p>1
√
∑
 −1
 =0
∑
 −1
 =0</p>
      <p>( ,  )  , , ( ,  )
 −1  −1
 =0  =0
∑
∑  ( ,  )  , , ( ,  )
(1)
(2)
(3)
where  0 is an arbitrary starting scale in the one-dimensional case. The   ( 0,  ,  ) coefficients
represent an approximation of f (x, y) of an image at scale j0.    ( ,  ,  ) are the horizontal (H),
vertical (V), and diagonal (D) details coefficients for scaling j≥j0, and  is a superscript that carries the
values H, V, and D [18]. In our research, we used one level 2D Haar DWT to transform the EEG
segments from spatial domain to the frequency domain then we fed the resulting coefficients the
horizontal (H), the vertical (v), and the diagonal (D) as an input image to the CNN for the prediction
task.
3.2.</p>
    </sec>
    <sec id="sec-5">
      <title>Convolution neural network</title>
      <p>Convolution neural network (CNN) is a class of artificial neural networks that are commonly
adopted for the extraction of features and for the classification of time series data and images [19].
CNN’s convolution is popularly known to work on spatial or 2D data because under the movement of
a fixed time sliding window, the CNN network learns the spatial features between the sequences and
extracts them [20]. In this work, the designed architecture of the CNN adopted for predicting patient
seizures is illustrated in Figure 2. A CNN with two convolution stages is employed where each
convolution stage consists of three operations: a convolution layer with rectified linear unit (ReLU)
activation, a batch normalization layer, and a max-pooling layer. By decreasing the pixels’ number in
the previous convolutional layer's output, the max-pooling layer decreases the dimensionality of the
image and allows the model to learn invariant features. The batch normalization is used to normalize
the previous layers' output and guarantees that the inputs to the convolution layer have zero mean and
unit variance. Fully connected layers gather inputs from all the positions into a 1-D feature vector.
Finally, the classification is made using the SoftMax activation function layer.</p>
    </sec>
    <sec id="sec-6">
      <title>4. Experiments</title>
    </sec>
    <sec id="sec-7">
      <title>4.1. Dataset</title>
      <p>In the current study, the proposed model is trained, and its performance is assessed based on the
online public CHB-MIT dataset [21]. This dataset is composed of EEG recordings from pediatric
patients with intractable seizures. The recordings are sampled from 22 patients with 9-42 successive
file recordings per patient. The dataset contains EEG recordings both with and without seizures. Each
record has 23 EEG channel signals. The EEG signals are extracted by putting multiple electrodes on
the scalp with a conductive gel or paste. The international 10-20 system of EEG electrodes placement
is employed for these recordings. All EEG signals are collected at 256 Hz with a 16- bit resolution.
Each recording contains interictal, preictal, and ictal durations. In the study at hand, the definition of
the interictal periods proposed by Troung et al. [13] is followed. They define the interictal periods as
found between a minimum of 4 hours pre-seizure occurrence and 4 hours post one. The main target of
the study is predicting the leading seizures. In this dataset, some seizures are found to be less than 30
minutes from the previous one, and in this case, they are considered as only one seizure, and the
beginning of the leading seizure is used as the onset of the combined seizure. In addition, patients
suffering from fewer than 10 seizures/day are only considered for the prediction task due to the lack
of practicality of performing the task for patients who have a seizure on average every 2 hours [13].
Using these definitions and considerations, 11 patients with sufficient data were chosen. The patients
chosen have a total of 22 channels, and 57 seizures, and 171.8 interictal hours.
4.2.</p>
    </sec>
    <sec id="sec-8">
      <title>Preprocessing</title>
      <p>EEG data are subject to artifacts that could alter the original signal, distorting the training and
testing process. Excluding components in the frequency ranges of 57-63 Hz and 117-123 Hz,
canceling the 60 Hz power-line noise for each segment and its main harmonic [13]. The DC
component was also removed. The imbalance of the dataset is one of the most common challenges in
many classification tasks. To solve this problem, extra preictal segments are generated by applying an
overlapped sampling technique during the training phase. particularly, more preictal samples are
created, specifically, for the training phase by sliding a 30/23-s; where 23 is the number of EEG
channels, and 30 is the time window in seconds, every step S across preictal time-series EEG signals
along the time axis. S is assigned to each patient in order to ensure that the training set has an equal
number of samples/class (preictal or interictal) [13]. Then feature extraction is applied to extract
information for the classification stage. Figure 1 shows our proposed flowchart.</p>
      <p>The use of time-frequency domain methods, such as the wavelet transform, is the most appropriate
method for extracting characteristics from EEG raw data [22] because the EEG signal is
nonstationary [23]. One level of 2D Haar DWT is used to convert image segments from the spatial to the
time-frequency domain. Before feeding the data to the CNN, horizontal, vertical, and diagonal
coefficients are normalized to have a unit norm, and then the DWT coefficients are fed, as an input
image, to the CNN prediction model. Before training the CNN, the samples are split randomly into
75-25 % for training and validation.</p>
    </sec>
    <sec id="sec-9">
      <title>Evaluation metrics</title>
      <p>In seizure prediction, Maiwald et al. [24] discuss the seizure occurrence period (SOP) and seizure
prediction horizon (SPH). As indicated in Figure 3, SOP is the period when a seizure is likely to
occur, whereas SPH is the time between the alarm and the beginning of the SOP. An SOP of
30 minutes and an SPH of 5 minutes were used in this investigation. The seizure alarm must come at
any time throughout the SOP and after the SPH in order to successfully forecast a seizure. For each
subject, a leave-one-out cross-validation attempt is used for a more robust evaluation. If a person
suffers N seizures, N − 1 seizures are chosen for the training task and the remaining seizures are used
for validation. This round is repeated N times, ensuring that each seizure is validated just once.
Interictal segments are split into N portions at random. The first N-1 portions are used for training,
while the remaining segments are chosen for validation. To avoid over-fitting, the N-1 sections are
further separated into monitoring and training sets [13].</p>
      <p>The performance of the proposed model is tested by measuring the four different metrics widely
employed for the system’s performance evaluation: accuracy, sensitivity, specificity, and FPR. The
number of correct predictions divided by the total number of cases is known as accuracy. The
percentage of seizures correctly predicted divided by the total number of seizures is referred to as
sensitivity. Specificity is the proportion of actual negatives which got predicted correctly as negative.
False-positive rate (FPR) is the number of false alarms divided by the total number of interictal
samples.</p>
    </sec>
    <sec id="sec-10">
      <title>Implementation and parameter settings</title>
      <p>In literature, different models have been proposed for epilepsy seizure prediction. Each model
aims to predict seizures before they occur. Our proposed model is shown in Figure 2. The first
convolution stage has 16x5x5 kernels with a stride of 2x2. The second convolution stage has 32x3x3
kernels with a stride of 1x1, and a max-pooling of over a 2x2 region. Following the two convolution
stages, a dense layer with a dropout set to 0.6 is used for the prevention of overfitting. Following that
are two fully connected layers with sigmoid activation and output sizes of 256 and 2. There wasn’t a
vanishing gradient problem due to the shallow number of neural networks used. A sigmoid activation
function is used in the first fully connected layer, while a SoftMax activation function is used in the</p>
    </sec>
    <sec id="sec-11">
      <title>5. Results</title>
      <p>second. The two fully connected layers have a dropout rate of 0.6. Focal loss is used as the loss
function and Adam optimizer is used for loss minimization with the learning rate, β1, and β2 of
0.0001, 0.9, and 0.999 respectively.</p>
      <p>In the present study, the proposed model is tested on the scalp EEG of 11 patients. The data
consists of 57 seizures and 171.8 without seizures, from the CHB-MIT dataset. The EEG image
samples are divided into two groups: training and validation.</p>
      <p>The performance of the proposed model is tested by measuring the four parameters: sensitivity,
FPR, accuracy, and specificity. Table 1 presents each patient’s seizure prediction results. The FPR is
calculated for pooled 30-seconds EEG signals. The FPR ranges from 0 to 0.102610/h with an average
of 0.015338, where 0 FPR resulted when no true negatives were found. The specificity average is
95.43%, reaching 100% for patients CHB01, CHB05, and CHB23 as no false positives are found. The
average accuracy achieved by the model is 95.58% with some patients having neither false negatives
nor false positives detected such as patients CHB01 and CHB23. The body of work is compared with
the most recently benchmarked seizure prediction approaches, as shown in Table 2.</p>
    </sec>
    <sec id="sec-12">
      <title>6. Discussion</title>
      <p>Various methods are commonly adopted to extract features from EEG signals to predict seizures.
Without using handmade feature engineering, we employed 2D-DWT to extract features from EEG
signals. The 2D-DWT of an EEG segment window has two dimensions, namely: frequency and time.
For this reason, we used CNNs with convolution operations that can handle spatial information
available in images and make a prediction at each datapoint. We used CNN rather than recurrent
neural network (RNN) because CNN outperforms RNN when dealing with spatially related data [20,
25]. To gather changes in both the frequency and the time of the EEG signals, a two-dimensional
convolution filter is slid throughout the 2D-DWT. During the training stage, the filter weights are
automatically updated, and the CNN functions as a feature extraction method. Following Truong et al.
[13], an oversampling technique is adopted here to overcome the imbalance problem of the dataset. In
addition, a focal loss is used, and the cost function is changed in such a way that the cost of preictal
sample misclassification is multiplied by the ratio of interictal samples to preictal samples per patient,
resulting in cost-sensitive learning. For cost-sensitive learning, 2D-DWT is used as a preprocessing
step. Based on the proposed method, the specificity is 95.43% and the FPR is 0.015338/h. The model
achieves an average sensitivity of 96.54%, and for some individual patients 100% when no false
negatives are detected. Some test results, such as CHB01's sensitivity of 100% and FPR of 0, are
perfect.</p>
      <p>As indicated in Table 2, the current study's results are compared to those of earlier studies on
epilepsy prediction. The results show the highest accuracy of 95.58% and the lowest FPR of
0.015338/h among all compared approaches and the comparable sensitivity is inconsistent with the
top result. It is further noticed that the proposed method for epileptic seizures prediction performs
better than other methods in terms of accuracy and FPR. Therefore, the proposed model produces
effective seizures prediction for the chosen 11 epileptic patients under study.</p>
    </sec>
    <sec id="sec-13">
      <title>7. Conclusions</title>
      <p>An epileptic seizures prediction method is proposed using deep learning with high accuracy
seizure prediction. For feature learning and classification between interictal and preictal states, the
proposed model employs CNN. Features are extracted using one level 2D-DWT for features learning
and improvement of the classification task. In the current experiment, a public CHB-MIT dataset is
used to evaluate the proposed method, and results have proven that the model performs better in terms
of both accuracy and FPR in comparison to other models. After applying the proposed model to the
dataset, epileptic seizures are predicted 30 minutes before the beginning of a seizure. It is then
concluded that, with the aid of the proposed model, epileptic patients can have more time for taking
conventional medications in order to prevent the seizure before it occurs.</p>
    </sec>
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