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<front>
<journal-meta>
<journal-id journal-id-type="pmc">CSSE</journal-id>
<journal-id journal-id-type="nlm-ta">CSSE</journal-id>
<journal-id journal-id-type="publisher-id">CSSE</journal-id>
<journal-title-group>
<journal-title>Computer Systems Science &#x0026; Engineering</journal-title>
</journal-title-group>
<issn pub-type="ppub">0267-6192</issn>
<publisher>
<publisher-name>Tech Science Press</publisher-name>
<publisher-loc>USA</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">34183</article-id>
<article-id pub-id-type="doi">10.32604/csse.2023.034183</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Article</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>A Method for Classification and Evaluation of Pilot&#x2019;s Mental States Based on CNN</article-title>
<alt-title alt-title-type="left-running-head">A Method for Classification and Evaluation of Pilot&#x2019;s Mental States Based on CNN</alt-title>
<alt-title alt-title-type="right-running-head">A Method for Classification and Evaluation of Pilot&#x2019;s Mental States Based on CNN</alt-title>
</title-group>
<contrib-group>
<contrib id="author-1" contrib-type="author" corresp="yes">
<name name-style="western"><surname>Wang</surname><given-names>Qianlei</given-names></name><xref ref-type="aff" rid="aff-1">1</xref><xref ref-type="aff" rid="aff-2">2</xref><xref ref-type="aff" rid="aff-3">3</xref><email>wangqianlei36@gmail.com</email></contrib>
<contrib id="author-2" contrib-type="author">
<name name-style="western"><surname>Wang</surname><given-names>Zaijun</given-names></name><xref ref-type="aff" rid="aff-3">3</xref></contrib>
<contrib id="author-3" contrib-type="author">
<name name-style="western"><surname>Xiong</surname><given-names>Renhe</given-names></name><xref ref-type="aff" rid="aff-4">4</xref></contrib>
<contrib id="author-4" contrib-type="author">
<name name-style="western"><surname>Liao</surname><given-names>Xingbin</given-names></name><xref ref-type="aff" rid="aff-1">1</xref><xref ref-type="aff" rid="aff-2">2</xref></contrib>
<contrib id="author-5" contrib-type="author">
<name name-style="western"><surname>Tan</surname><given-names>Xiaojun</given-names></name><xref ref-type="aff" rid="aff-5">5</xref></contrib>
<aff id="aff-1"><label>1</label><institution>Chengdu Institute of Computer Application, Chinese Academy of Sciences</institution>, <addr-line>Chengdu, 610041, Sichuan</addr-line>, <country>China</country></aff>
<aff id="aff-2"><label>2</label><institution>School of Computer Science and Technology, University of Chinese Academy of Sciences</institution>, <addr-line>Beijing 100080</addr-line>, <country>China</country></aff>
<aff id="aff-3"><label>3</label><institution>Key Laboratory of Flight Techniques and Flight Safety, Civil Aviation Flight University of China</institution>, <addr-line>Guanghan, 618307, Sichuan</addr-line>, <country>China</country></aff>
<aff id="aff-4"><label>4</label><institution>School of Air Traffic Management, Civil Aviation Flight University of China</institution>, <addr-line>Guanghan, 618307, Sichuan</addr-line>, <country>China</country></aff>
<aff id="aff-5"><label>5</label><institution>Neurology Department, Deyang Second People&#x0027;s Hospital</institution>, <addr-line>Guanghan, 618307, Sichuan</addr-line>, <country>China</country></aff>
</contrib-group>
<author-notes>
<corresp id="cor1"><label>&#x002A;</label>Corresponding Author: Qianlei Wang. Email: <email>wangqianlei36@gmail.com</email></corresp>
</author-notes>
<pub-date date-type="collection" publication-format="electronic">
<year>2023</year></pub-date>
<pub-date date-type="pub" publication-format="electronic"><day>6</day>
<month>2</month>
<year>2023</year>
</pub-date>
<volume>46</volume>
<issue>2</issue>
<fpage>1999</fpage>
<lpage>2020</lpage>
<history>
<date date-type="received">
<day>08</day>
<month>7</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2023 Wang et al.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Wang et al.</copyright-holder>
<license xlink:href="https://creativecommons.org/licenses/by/4.0/">
<license-p>This work is licensed under a <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
</license>
</permissions>
<self-uri content-type="pdf" xlink:href="TSP_CSSE_34183.pdf"></self-uri>
<abstract>
<p>How to accurately recognize the mental state of pilots is a focus in civil aviation safety. The mental state of pilots is closely related to their cognitive ability in piloting. Whether the cognitive ability meets the standard is related to flight safety. However, the pilot&#x0027;s working state is unique, which increases the difficulty of analyzing the pilot&#x0027;s mental state. In this work, we proposed a Convolutional Neural Network (CNN) that merges attention to classify the mental state of pilots through electroencephalography (EEG). Considering the individual differences in EEG, semi-supervised learning based on improved K-Means is used in the model training to improve the generalization ability of the model. We collected the EEG data of 12 pilot trainees during the simulated flight and compared the method in this paper with other methods on this data. The method in this paper achieved an accuracy of 86.29%, which is better than 4D-aNN and HCNN etc. Negative emotion will increase the probability of fatigue appearing, and emotion recognition is also meaningful during the flight. Then we conducted experiments on the public dataset SEED, and our method achieved an accuracy of 93.68%. In addition, we combine multiple parameters to evaluate the results of the classification network on a more detailed level and propose a corresponding scoring mechanism to display the mental state of the pilots directly.</p>
</abstract>
<kwd-group kwd-group-type="author">
<kwd>Pilot</kwd>
<kwd>mental state</kwd>
<kwd>EEG</kwd>
<kwd>attention</kwd>
<kwd>CNN</kwd>
<kwd>semi-supervised learning</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<label>1</label>
<title>Introduction</title>
<p>With the continuous improvement of aircraft automation, the proportion of flight accidents caused by equipment failure has dropped from 85% in the middle of the 20th century to 12%&#x2013;21% now [<xref ref-type="bibr" rid="ref-1">1</xref>,<xref ref-type="bibr" rid="ref-2">2</xref>]. The mental state of pilots has become an essential factor in affecting flight safety [<xref ref-type="bibr" rid="ref-3">3</xref>]. Mental Fatigue, Load and Attention are the main elements of the state of pilots [<xref ref-type="bibr" rid="ref-4">4</xref>]. According to statistics from the International Civil Aviation Organization (ICAO), human factors accounted for 76% of modern aviation accidents [<xref ref-type="bibr" rid="ref-5">5</xref>,<xref ref-type="bibr" rid="ref-6">6</xref>], which more than 60% are caused by pilots. And accidents related to mental fatigue of pilots more than 21% [<xref ref-type="bibr" rid="ref-7">7</xref>,<xref ref-type="bibr" rid="ref-8">8</xref>]. Besides, the human-computer interaction systems in aircraft driving have become more complex, and the load that pilots need to undertake in actual work continues to increase. In addition, the role of the pilot gradually transforms from the operator to the inspector. The pilots often need to pay attention to multiple flight information simultaneously, and selectively pay attention to multiple pieces of information through the reasonable allocation of attention. During the flight, pilot fatigue, workload, overload, and distraction will reduce work efficiency and increase the possibility of flight accidents [<xref ref-type="bibr" rid="ref-9">9</xref>&#x2013;<xref ref-type="bibr" rid="ref-11">11</xref>]. Therefore, classifying the mental state of pilots accurately and evaluating their level can realize flight safety monitoring moving forward.</p>
<p>At present, research on the mental state are based on EEG signals, such as ESTCNN [<xref ref-type="bibr" rid="ref-12">12</xref>], which is for fatigue from ground driving. Because the collecting of EEG has low space requirements, is mobile, and the pilot&#x2019;s driving environment is narrow and occluded, EEG has become the first choice for investigating the mental state of pilots. However, the working status of pilots has some unusual points, as shown as follows. (1) Alternate work day and night. (2) The flight operation is complicated, and various instruments and controller responses need to be attention. (3) External factors such as weather are easy to interfere with the pilot&#x0027;s driving. The existence of these special circumstances makes the pilot EEG sequence highly complicated in different mental states [<xref ref-type="bibr" rid="ref-13">13</xref>], which increases the difficulty of research. There are currently more studies on the classification and evaluation of the mental state of ground drivers, but there are few studies on pilots. There are some human clues used to classify the mental state of pilots, but most of them are binary classifications, which are unable to evaluate the degree of mental state.</p>
<p>In this paper, we proposed a CNN aiming to classify the mental state of pilots. To reduce the impact of noise and other useless information when we conduct model training, we integrated the attention mechanism in CNN. We also collected the EEG data of pilot trainees during simulated flight training to verify our method. After experimenting, the results show that our method improved the accuracy compared with previous methods. In the model training, an improved K-means clustering algorithm and a semi-supervised learning method are used to improve the generalization ability of the model. In addition, we also used a multi-parameter evaluation method to evaluate the degree of the mental state of each category and proposed a corresponding scoring mechanism to present the mental state of the pilot in the form of numbers.</p>
<p>We highlight our main contribution here:
<list list-type="order">
<list-item>
<p>We proposed an attention mechanism-based classification network for pilot mental states.</p></list-item>
<list-item>
<p>An improved K-means clustering algorithm and a semi-supervised learning method are used to improve the generalization ability of the model.</p></list-item>
<list-item>
<p>We combined multiple parameters to evaluate the results of the classification network at a more detailed level and propose a corresponding scoring mechanism to directly display the mental state of the pilots.</p></list-item>
</list></p>
<p>The rest of this paper is organized as follows: Section 2 reviews the current status of research on EEG; Section 3 describes the method; Section 4 uses the collected data to verify the proposed network and analyzes the network performance; Section 5 concludes the whole paper.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Background</title>
<p>According to the frequency characteristics of EEG signals [<xref ref-type="bibr" rid="ref-14">14</xref>], it can be divided into five rhythms &#x03B4;, &#x03B8;, &#x03B1;, &#x03B2; and &#x03B3;. These five kinds of rhythm information belong to natural language [<xref ref-type="bibr" rid="ref-15">15</xref>] and are composed in time series [<xref ref-type="bibr" rid="ref-16">16</xref>]. They are the primary source of human emotions [<xref ref-type="bibr" rid="ref-17">17</xref>] with randomness and complexity [<xref ref-type="bibr" rid="ref-18">18</xref>].</p>
<p><bold>Related works:</bold> Machine learning can effectively process this information [<xref ref-type="bibr" rid="ref-19">19</xref>]. This technology has been used in EEG classification and successfully used in lots of research. Effective results have been achieved using Long Short-Term Memory (LSTM) network with attention mechanisms to classify EEG signals [<xref ref-type="bibr" rid="ref-20">20</xref>], and CNN and Recurrent Neural Network (RNN) also get good results [<xref ref-type="bibr" rid="ref-21">21</xref>]. But simple CNN and RNN including LSTM cannot handle complex tasks, such as approximate emotion recognition.</p>
<p>In the research of EEG signal recognition, [<xref ref-type="bibr" rid="ref-22">22</xref>] used LSTM to learn features from EEG signals and then used the dense layer for classification. The method achieves over 85% accuracy in classifying low/high arousal, valence and liking. But this method is not robust to noise. In addition, some researchers have improved the LSTM structure, such as STACKED LSTM [<xref ref-type="bibr" rid="ref-23">23</xref>] and OPTICAL [<xref ref-type="bibr" rid="ref-24">24</xref>]. However, its generalization ability and accuracy still cannot satisfy the classification of multi-sample pilot emotions. Reference [<xref ref-type="bibr" rid="ref-25">25</xref>] proposed a multimodal residual Long Short-Term Memory model (MMResLSTM) for emotion recognition, which shares temporal weights across the multiple modalities. This method slightly improves the generalization ability, but still not enough.</p>
<p>Recently, CNN has become the best choice in biomedical signal diagnosis [<xref ref-type="bibr" rid="ref-26">26</xref>]. Especially when the EEG signal comes from multiple channels, [<xref ref-type="bibr" rid="ref-27">27</xref>] uses 3D CNN to predict different stages of EEG data, [<xref ref-type="bibr" rid="ref-28">28</xref>] uses CNN&#x0027;s novel emotion recognition method to estimate the emotional state, and the average accuracy rate reached more than 90%. Based on the good performance of CNN for EEG classification, [<xref ref-type="bibr" rid="ref-29">29</xref>&#x2013;<xref ref-type="bibr" rid="ref-34">34</xref>] takes more attempts. The results of the study show that the EEG signals needed to be extracted for classification using CNN are more accurate. In the CNN structure, [<xref ref-type="bibr" rid="ref-35">35</xref>] adds semi-supervised learning for text classification and shows better performance in the research on sentiment classification and topic classification. And [<xref ref-type="bibr" rid="ref-36">36</xref>] proposed CNN-GRU which got SOTA on the DEAP dataset. In [<xref ref-type="bibr" rid="ref-37">37</xref>], a novel CNN model with a MAM mechanism was proposed for classifying age, gender, and age-gender using speech spectrograms. But the above CNN-based models are very heavy and not easy to use.</p>
<p><bold>Motivation:</bold> There are three problems still exist: (1) In the current research on emotion or mental classification, the proposed classification models are relatively complex and generally have poor generalization. (2) In flight, the pilot needs to obtain a large amount of information, coupled with the influence of various noises, the collected EEG signal contains a lot of useless information, and it is very difficult to extract effective information with high accuracy. (3) At present, there is no complete pilot mental scoring mechanism in the process of flight training.</p>
<p>To solve the above problem, we use attention and semi-supervised learning to improve the accuracy and generalization ability of the classification model, and classify the mental state from the complex EEG signal accurately. Then, we evaluate the degree of mental state in combination with multi-parameter to make the result while being more representative and convincing. The method also satisfies a higher accuracy rate and provides a better solution for pilots&#x0027; mental state assessment.</p>
</sec>
<sec id="s3">
<label>3</label>
<title>Proposed Methodology</title>
<sec id="s3_1">
<label>3.1</label>
<title>Classification Part</title>
<p><bold>Backbone Network:</bold> The Backbone part of the network is mainly composed of three convolutional layers, two pooling layers and three BN layers as shown in <xref ref-type="fig" rid="fig-1">Fig. 1</xref>. The size of the convolution kernel of the first convolutional layer is (1 &#x00D7; 63). After convolution, it can output Feature Maps of 20 &#x00D7; 152 EEG signals with different bandpass frequencies, and then use SELU for regularization. The mean value of SELU output is not only closer to zero, but its variance is also closer to the unit variance. Compared with other activation functions, it has stronger regularization performance, and the convergence speed will also be improved. In the stage of training, the process of changing the distribution of internal node data due to changes in network parameters is called internal covariate shift (ICS). To adapt to changes in the input data distribution. This process requires the upper network to adjust continuously, and the network training is easily falling into the gradient saturation zone and slow down the network convergence speed. For this reason, this paper adds a Batch Normalization (BN) layer [<xref ref-type="bibr" rid="ref-38">38</xref>] between the part of the linear layer and the nonlinear layer to suppress the influence of ICS on the network.</p>
<fig id="fig-1">
<label>Figure 1</label>
<caption>
<title>Network structure</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CSSE_34183-fig-1.tif"/>
</fig>
<p>Spatial filtering using a Depthwise Convolution with a convolution kernel size of (20 &#x00D7; 1) immediately after the first BN layer. The classic case of Depthwise Convolution is the MobileNet [<xref ref-type="bibr" rid="ref-39">39</xref>] series. The main benefit of the Depthwise Convolution is that fewer training parameters need to be fitted, as these convolutions are not fully connected to all previous Feature Maps. More specifically, when applied to EEG, this operation allows the model to efficiently learn spatial filters for specific frequencies. After Average Pooling, there is still a lot of useless information in the Feature Maps. At this time, we use an Attention module to suppress useless channel information and increase the weight of useful information to improve the efficiency of the network.</p>
<p>The core size of Average Pooling is (1 &#x00D7; 4), and its purpose is to downsampling, reduce the amounts of parameters, and improve the training speed of the model. The input size of the model in this paper is (1 &#x00D7; 20 &#x00D7; 150). After a series of convolution and pooling, the final output (16 &#x00D7; 1 &#x00D7; 16) tensor is used as the input of the clustering block.</p>
<p><bold>Attention Block:</bold> The original EEG data collected by nonintrusive equipment contains a lot of useless information. The existence of such information will increase the complexity of the system and reduce the accuracy of data recognition. After filtering and other necessary preprocessing work, Principal Components Analysis (PCA) algorithm [<xref ref-type="bibr" rid="ref-40">40</xref>] is often used to remove channel information with a small contribution rate. This operation can satisfy the removal of redundant information, but it will cause the loss of more shallow information, and incomplete feature information is not conducive to deep mining EEG signals.</p>
<p>In this paper, the Attention module [<xref ref-type="bibr" rid="ref-41">41</xref>] is used in the CNN to maximize the suppression of useless information through weight distribution while retaining the complete information. The first Average Pooling is used as the input of the Attention module, and Global Average Pooling is used to compress the input information, and the channel characteristics are changed to a real number, thereby obtaining the global information between the channels.</p>
<p>Then two fully connected layers are used to compose Bottleneck to compress and restore the number of channels. The first layer compresses the channel dimension from 16 to 1 with a compression ratio of 16. After nonlinear activation, a layer of fully connected is used to restore the channel dimension, and then use Sigmoid to obtain the normalized weight between [0,1]. Finally, each channel feature is weighted by Scale. This process gives large weight to channel features that contribute a lot, the rest are small weights. While reducing the impact of useless information on the classification accuracy of the network backend, the information features are retained completely as possible.</p>
<p><bold>Clustering:</bold> In the classification task, we use <inline-formula id="ieqn-1"><mml:math id="mml-ieqn-1"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi>&#x03BE;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> to represent the convnet mapping and <inline-formula id="ieqn-2"><mml:math id="mml-ieqn-2"><mml:msub><mml:mi>G</mml:mi><mml:mrow><mml:mi>&#x03C9;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> to represent the classifier, where <inline-formula id="ieqn-3"><mml:math id="mml-ieqn-3"><mml:mi>&#x03BE;</mml:mi></mml:math></inline-formula> and <inline-formula id="ieqn-4"><mml:math id="mml-ieqn-4"><mml:mi>&#x03C9;</mml:mi></mml:math></inline-formula> represent the set of corresponding parameters in the mapping process and the prediction process. For the sample <inline-formula id="ieqn-5"><mml:math id="mml-ieqn-5"><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>N</mml:mi><mml:mo>&#x00D7;</mml:mo><mml:mi>M</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo fence="false" stretchy="false">{</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>&#x2026;</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msub><mml:mo fence="false" stretchy="false">}</mml:mo></mml:math></inline-formula> which <inline-formula id="ieqn-6"><mml:math id="mml-ieqn-6"><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo stretchy="false">[</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mo>&#x2026;</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>M</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">]</mml:mo></mml:math></inline-formula>, we are trying our best to find a set of <inline-formula id="ieqn-7"><mml:math id="mml-ieqn-7"><mml:msup><mml:mi>&#x03BE;</mml:mi><mml:mrow><mml:mrow><mml:mo>&#x2217;</mml:mo></mml:mrow></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula id="ieqn-8"><mml:math id="mml-ieqn-8"><mml:msup><mml:mi>&#x03C9;</mml:mi><mml:mrow><mml:mrow><mml:mo>&#x2217;</mml:mo></mml:mrow></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:math></inline-formula> so that network has better generalization ability. The optimization process of <inline-formula id="ieqn-9"><mml:math id="mml-ieqn-9"><mml:mi>&#x03BE;</mml:mi></mml:math></inline-formula> and <inline-formula id="ieqn-10"><mml:math id="mml-ieqn-10"><mml:mi>&#x03C9;</mml:mi></mml:math></inline-formula> can be expressed by the following functions:</p>
<p><disp-formula id="eqn-1">
<label>(1)</label>
<mml:math id="mml-eqn-1" display="block"><mml:mi>M</mml:mi><mml:mi>I</mml:mi><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>&#x03BE;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03C9;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mi>N</mml:mi></mml:mfrac><mml:msubsup><mml:mo movablelimits="false">&#x2211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi></mml:mi><mml:mrow><mml:mi>L</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>G</mml:mi><mml:mrow><mml:mi>&#x03C9;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi>&#x03BE;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>,</mml:mo><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>.</mml:mo></mml:math></disp-formula></p>
<p>Among them, <inline-formula id="ieqn-11"><mml:math id="mml-ieqn-11"><mml:msub><mml:mi>G</mml:mi><mml:mrow><mml:mi>&#x03C9;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> will predict the category according to <inline-formula id="ieqn-12"><mml:math id="mml-ieqn-12"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi>&#x03BE;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and evaluate the inconsistency between the prediction result and the true value label <inline-formula id="ieqn-13"><mml:math id="mml-ieqn-13"><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> through the <inline-formula id="ieqn-14"><mml:math id="mml-ieqn-14"><mml:mi>L</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi></mml:math></inline-formula> function. In the traditional sense, <inline-formula id="ieqn-15"><mml:math id="mml-ieqn-15"><mml:mi>&#x03BE;</mml:mi></mml:math></inline-formula> and <inline-formula id="ieqn-16"><mml:math id="mml-ieqn-16"><mml:mi>&#x03C9;</mml:mi></mml:math></inline-formula> are optimized through supervised learning, every <inline-formula id="ieqn-17"><mml:math id="mml-ieqn-17"><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> should have the only <inline-formula id="ieqn-18"><mml:math id="mml-ieqn-18"><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> corresponds to it, and <inline-formula id="ieqn-19"><mml:math id="mml-ieqn-19"><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> comes from manual labeling of the data. However, in practical problems, EEG samples mostly exist in unlabeled form. The diversity and high capacity of the samples make the labeling process consume a lot of resources. Without enough labeled data, the model obtained by supervised learning often has poor generalization ability, and a large amount of unlabeled data is not used, resulting in a waste of information.</p>
<p>In the pretraining of the model, we used an improved K-Means to cluster the output of convnet, which is different from the classic K-Means clustering center random selection strategy. The centroid of cluster selection is based on the dissimilarity measure. The method and process are described as follows:</p>
<p><disp-formula id="eqn-2">
<label>(2)</label>
<mml:math id="mml-eqn-2" display="block"><mml:mi>d</mml:mi><mml:mi>i</mml:mi><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:msubsup><mml:mo movablelimits="false">&#x2211;</mml:mo><mml:mrow><mml:mi>u</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>M</mml:mi></mml:mrow></mml:msubsup><mml:msup><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>u</mml:mi></mml:mrow></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mi>u</mml:mi></mml:mrow></mml:msub><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mrow></mml:msup><mml:mo>.</mml:mo></mml:math></disp-formula></p>
<p><disp-formula id="eqn-3">
<label>(3)</label>
<mml:math id="mml-eqn-3" display="block"><mml:mi>H</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mtable columnalign="center center" rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mtable columnalign="center center center" rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mn>0</mml:mn></mml:mtd><mml:mtd><mml:mi>d</mml:mi><mml:mi>i</mml:mi><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mo>&#x2026;</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mi>d</mml:mi><mml:mi>i</mml:mi><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mn>0</mml:mn></mml:mtd><mml:mtd><mml:mo>&#x2026;</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:mtd><mml:mtd><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mi>d</mml:mi><mml:mi>i</mml:mi><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mi>d</mml:mi><mml:mi>i</mml:mi><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtable columnalign="center center center" rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mo>&#x22EE;</mml:mo></mml:mtd><mml:mtd><mml:mo>&#x22EE;</mml:mo></mml:mtd><mml:mtd><mml:mo>&#x22F1;</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mi>d</mml:mi><mml:mi>i</mml:mi><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mi>d</mml:mi><mml:mi>i</mml:mi><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mo>&#x2026;</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:mtd><mml:mtd><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mo>&#x22EE;</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn>0</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mtd></mml:mtr></mml:mtable><mml:mo>]</mml:mo></mml:mrow></mml:math></disp-formula></p>
<p>We use the Euclidean distance <inline-formula id="ieqn-20"><mml:math id="mml-ieqn-20"><mml:mi>d</mml:mi><mml:mi>i</mml:mi><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of the sample points to define their anisotropy. The matrix <inline-formula id="ieqn-21"><mml:math id="mml-ieqn-21"><mml:mi>H</mml:mi></mml:math></inline-formula> stores the proximity between <inline-formula id="ieqn-22"><mml:math id="mml-ieqn-22"><mml:mi>N</mml:mi></mml:math></inline-formula> samples, then calculating the average distance between each sample <inline-formula id="ieqn-23"><mml:math id="mml-ieqn-23"><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and other samples, that is, the mean anisotropy <inline-formula id="ieqn-24"><mml:math id="mml-ieqn-24"><mml:mrow><mml:mi mathvariant="italic">A</mml:mi><mml:mi mathvariant="italic">v</mml:mi><mml:mi mathvariant="italic">g</mml:mi><mml:mi mathvariant="italic">d</mml:mi><mml:mi mathvariant="italic">i</mml:mi><mml:mi mathvariant="italic">s</mml:mi><mml:mi mathvariant="italic">t</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> which is defined as follows:</p>
<p><disp-formula id="eqn-4">
<label>(4)</label>
<mml:math id="mml-eqn-4" display="block"><mml:mrow><mml:mi mathvariant="italic">A</mml:mi><mml:mi mathvariant="italic">v</mml:mi><mml:mi mathvariant="italic">g</mml:mi><mml:mi mathvariant="italic">d</mml:mi><mml:mi mathvariant="italic">i</mml:mi><mml:mi mathvariant="italic">s</mml:mi><mml:mi mathvariant="italic">t</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mi>N</mml:mi></mml:mfrac><mml:msubsup><mml:mo movablelimits="false">&#x2211;</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msubsup><mml:mi>H</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>.</mml:mo></mml:math></disp-formula></p>
<p>Mean anisotropy reflects the position of sample <inline-formula id="ieqn-25"><mml:math id="mml-ieqn-25"><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> in the entire dataset, and its value is negatively correlated with the density of data around <inline-formula id="ieqn-26"><mml:math id="mml-ieqn-26"><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>. Selecting the sample point with the largest mean anisotropy as the initial centroid of cluster, and then calculate the overall anisotropy <inline-formula id="ieqn-27"><mml:math id="mml-ieqn-27"><mml:mi>T</mml:mi></mml:math></inline-formula> of the dataset.</p>
<p><disp-formula id="eqn-5">
<label>(5)</label>
<mml:math id="mml-eqn-5" display="block"><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:msup><mml:mi>N</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mfrac><mml:msubsup><mml:mo movablelimits="false">&#x2211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msubsup><mml:msubsup><mml:mo movablelimits="false">&#x2211;</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msubsup><mml:mi>H</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>.</mml:mo></mml:math></disp-formula></p>
<p>We select the sample point with the largest mean difference among other points as the second centroid of cluster, judge whether the dissimilarity of the selected centroid of cluster is greater than <inline-formula id="ieqn-28"><mml:math id="mml-ieqn-28"><mml:mi>T</mml:mi></mml:math></inline-formula>, if it is greater than <inline-formula id="ieqn-29"><mml:math id="mml-ieqn-29"><mml:mi>T</mml:mi></mml:math></inline-formula>, keep it, otherwise select the second largest mean dissimilarity the sample points to judge, and the operation is looped until all centroids of cluster are selected. According to the principle of minimizing square error <xref ref-type="disp-formula" rid="eqn-6">Eq. 6</xref>, the feature <inline-formula id="ieqn-30"><mml:math id="mml-ieqn-30"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi>&#x03BE;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> will be divided into <inline-formula id="ieqn-31"><mml:math id="mml-ieqn-31"><mml:mi>K</mml:mi></mml:math></inline-formula> clusters <inline-formula id="ieqn-32"><mml:math id="mml-ieqn-32"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>&#x2026;</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>K</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Where <inline-formula id="ieqn-33"><mml:math id="mml-ieqn-33"><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> is the centroid of cluster <inline-formula id="ieqn-34"><mml:math id="mml-ieqn-34"><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>.</p>
<p><disp-formula id="eqn-6">
<label>(6)</label>
<mml:math id="mml-eqn-6" display="block"><mml:mi>M</mml:mi><mml:mi>I</mml:mi><mml:mi>N</mml:mi><mml:msubsup><mml:mo movablelimits="false">&#x2211;</mml:mo><mml:mrow><mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>K</mml:mi></mml:mrow></mml:msubsup><mml:msub><mml:mo movablelimits="false">&#x2211;</mml:mo><mml:mrow><mml:mi>x</mml:mi><mml:mo>&#x2208;</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:msubsup><mml:mrow><mml:mo>|</mml:mo><mml:mrow><mml:mo>|</mml:mo><mml:mi>x</mml:mi><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>|</mml:mo></mml:mrow><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi>&#x03BE;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>.</mml:mo></mml:math></disp-formula></p>
<p><disp-formula id="eqn-7">
<label>(7)</label>
<mml:math id="mml-eqn-7" display="block"><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:mfrac><mml:msub><mml:mo movablelimits="false">&#x2211;</mml:mo><mml:mrow><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi>&#x03BE;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula></p>
<p>In the division process, the centroid matrix <inline-formula id="ieqn-35"><mml:math id="mml-ieqn-35"><mml:mi>U</mml:mi></mml:math></inline-formula> can be obtained, and the optimal solution <inline-formula id="ieqn-36"><mml:math id="mml-ieqn-36"><mml:msubsup><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo>&#x2217;</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> of the following problems is used as a fake label.</p>
<p><disp-formula id="eqn-8">
<label>(8)</label>
<mml:math id="mml-eqn-8" display="block"><mml:mi>M</mml:mi><mml:mi>I</mml:mi><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>U</mml:mi></mml:mrow></mml:msub><mml:mfrac><mml:mn>1</mml:mn><mml:mi>N</mml:mi></mml:mfrac><mml:msubsup><mml:mo movablelimits="false">&#x2211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msubsup><mml:mi>M</mml:mi><mml:mi>I</mml:mi><mml:mi>N</mml:mi><mml:msubsup><mml:mrow><mml:mo>|</mml:mo><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi>&#x03BE;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mi>U</mml:mi><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>|</mml:mo></mml:mrow><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></disp-formula></p>
<p>Applying <inline-formula id="ieqn-37"><mml:math id="mml-ieqn-37"><mml:msubsup><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo>&#x2217;</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> to <xref ref-type="disp-formula" rid="eqn-1">Eq. 1</xref> can realize the network parameter optimization based on unlabeled data, and then use traditional supervised learning to finetune the network, which can ensure the model&#x0027;s accuracy and strong generalization ability.</p>
<fig id="fig-9">
<graphic mimetype="image" mime-subtype="tif" xlink:href="CSSE_34183-fig-9.tif"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Evaluation Part</title>
<p>The evaluation is divided into three parts (Attention feature extraction, Mental Fatigue feature extraction and Load feature extraction) which are shown in <xref ref-type="fig" rid="fig-2">Fig. 2</xref>. And each part is responsible for the corresponding feature extraction and evaluation tasks. Now the extraction scheme of each mental state is explained, the results of evaluation tasks and method will be shown in &#x201C;4.1.3 Results and analysis&#x201D;.</p>
<fig id="fig-2">
<label>Figure 2</label>
<caption>
<title>Evaluation module structure</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CSSE_34183-fig-2.tif"/>
</fig>
<p><bold>Attention feature extraction:</bold> Attention index can be used to measure the degree of the pilot&#x2019;s investment in the flight process. It should be emphasized that the Attention here refers to the parameters rather than the attention mechanism in the model. The ratio of &#x03B2; wave energy to &#x03B8; wave energy in EEG signals can show people&#x0027;s attention to things to a certain extent [<xref ref-type="bibr" rid="ref-42">42</xref>]. However, the classification based on energy ratio alone has poor precision, and EEG signals tend to be disordered in a nonconcentrated state, which will increase the complexity of features. Sample entropy can better describe the complexity of the sequence. Using sample entropy to characterize the complexity of the analyzed signal can make up for the low accuracy defect of pure energy classification.</p>
<p><disp-formula id="eqn-9">
<label>(9)</label>
<mml:math id="mml-eqn-9" display="block"><mml:msup><mml:mi>S</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:munderover><mml:mo>&#x2211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:munderover><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>&#x2212;</mml:mo><mml:mover><mml:mi>B</mml:mi><mml:mo accent="false">&#x00AF;</mml:mo></mml:mover><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfrac><mml:mo>.</mml:mo></mml:math></disp-formula></p>
<p><disp-formula id="eqn-10">
<label>(10)</label>
<mml:math id="mml-eqn-10" display="block"><mml:msubsup><mml:mi>B</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>n</mml:mi><mml:mi>u</mml:mi><mml:mi>m</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>m</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfrac><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>&#x2260;</mml:mo><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>3</mml:mn><mml:mo>&#x2026;</mml:mo><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mn>1.</mml:mn></mml:math></disp-formula></p>
<p><disp-formula id="eqn-11">
<label>(11)</label>
<mml:math id="mml-eqn-11" display="block"><mml:msup><mml:mi>B</mml:mi><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mi>N</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfrac><mml:msubsup><mml:mo movablelimits="false">&#x2211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msubsup><mml:msubsup><mml:mi>B</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula></p>
<p><disp-formula id="eqn-12">
<label>(12)</label>
<mml:math id="mml-eqn-12" display="block"><mml:mrow><mml:mi mathvariant="italic">S</mml:mi><mml:mi mathvariant="italic">a</mml:mi><mml:mi mathvariant="italic">m</mml:mi><mml:mi mathvariant="italic">p</mml:mi><mml:mi mathvariant="italic">E</mml:mi><mml:mi mathvariant="italic">n</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>r</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mi>l</mml:mi><mml:mi>n</mml:mi><mml:msup><mml:mi>B</mml:mi><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mi>l</mml:mi><mml:mi>n</mml:mi><mml:msup><mml:mi>B</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>.</mml:mo></mml:math></disp-formula></p>
<p>Among them, <inline-formula id="ieqn-73"><mml:math id="mml-ieqn-73"><mml:mi>n</mml:mi><mml:mi>u</mml:mi><mml:mi>m</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> indicates that the sequence of length <inline-formula id="ieqn-74"><mml:math id="mml-ieqn-74"><mml:mi>N</mml:mi></mml:math></inline-formula> in the sample is reconstructed into a set of <inline-formula id="ieqn-75"><mml:math id="mml-ieqn-75"><mml:mi>m</mml:mi></mml:math></inline-formula> dimensional vectors <inline-formula id="ieqn-76"><mml:math id="mml-ieqn-76"><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and the number of vectors <inline-formula id="ieqn-77"><mml:math id="mml-ieqn-77"><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> whose distance is less than the given value r, <inline-formula id="ieqn-78"><mml:math id="mml-ieqn-78"><mml:msubsup><mml:mi>B</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the ratio of the total distance <inline-formula id="ieqn-79"><mml:math id="mml-ieqn-79"><mml:mi>N</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math></inline-formula> and <inline-formula id="ieqn-80"><mml:math id="mml-ieqn-80"><mml:mi>n</mml:mi><mml:mi>u</mml:mi><mml:mi>m</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Furthermore, we take the average value of all <inline-formula id="ieqn-81"><mml:math id="mml-ieqn-81"><mml:msubsup><mml:mi>B</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for <inline-formula id="ieqn-82"><mml:math id="mml-ieqn-82"><mml:mi>i</mml:mi></mml:math></inline-formula> and do a logarithmic operation, then subtract the logarithm of the <inline-formula id="ieqn-83"><mml:math id="mml-ieqn-83"><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math></inline-formula> dimensional average value to obtain the sample entropy <inline-formula id="ieqn-84"><mml:math id="mml-ieqn-84"><mml:mrow><mml:mi mathvariant="italic">S</mml:mi><mml:mi mathvariant="italic">a</mml:mi><mml:mi mathvariant="italic">m</mml:mi><mml:mi mathvariant="italic">p</mml:mi><mml:mi mathvariant="italic">E</mml:mi><mml:mi mathvariant="italic">n</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>r</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (<inline-formula id="ieqn-85"><mml:math id="mml-ieqn-85"><mml:mi>N</mml:mi></mml:math></inline-formula> is limited). Based on this, this paper proposes a feature extraction scheme that combines the three parameters of EEG signal energy ratio, variance, and sample entropy to extract the three features of the ratio of <inline-formula id="ieqn-86"><mml:math id="mml-ieqn-86"><mml:mi>&#x03B2;</mml:mi></mml:math></inline-formula> wave energy to <inline-formula id="ieqn-87"><mml:math id="mml-ieqn-87"><mml:mi>&#x03B8;</mml:mi></mml:math></inline-formula> wave energy, the variance of <inline-formula id="ieqn-88"><mml:math id="mml-ieqn-88"><mml:mi>&#x03B8;</mml:mi></mml:math></inline-formula> wave and the sample entropy of the EEG signal. As an evaluation indicator of pilot attention.</p>
<p><bold>Mental fatigue feature extraction:</bold> When the human brain is in a state of fatigue, the <inline-formula id="ieqn-89"><mml:math id="mml-ieqn-89"><mml:mi>&#x03B2;</mml:mi></mml:math></inline-formula> waves related to thinking activities will be significantly reduced, and the proportion of the low-frequency part of the signal is proportional to the degree of fatigue [<xref ref-type="bibr" rid="ref-43">43</xref>]. Two parameters, the relative energy of the <inline-formula id="ieqn-90"><mml:math id="mml-ieqn-90"><mml:mi>&#x03B2;</mml:mi></mml:math></inline-formula> wave, the ratio of the sum of the average power of the <inline-formula id="ieqn-91"><mml:math id="mml-ieqn-91"><mml:mi>&#x03B8;</mml:mi></mml:math></inline-formula> wave and the <inline-formula id="ieqn-92"><mml:math id="mml-ieqn-92"><mml:mi>&#x03B1;</mml:mi></mml:math></inline-formula> wave and the average power of the <inline-formula id="ieqn-93"><mml:math id="mml-ieqn-93"><mml:mi>&#x03B2;</mml:mi></mml:math></inline-formula> wave <inline-formula id="ieqn-94"><mml:math id="mml-ieqn-94"><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x03B1;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B2;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B8;</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> which is extracted as the evaluation index of the fatigue degree.</p>
<p><disp-formula id="eqn-13">
<label>(13)</label>
<mml:math id="mml-eqn-13" display="block"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mo>&#x222B;</mml:mo><mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:mi mathvariant="normal">&#x221E;</mml:mi></mml:mrow></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mrow><mml:mi mathvariant="normal">&#x221E;</mml:mi></mml:mrow></mml:mrow></mml:msubsup><mml:msup><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mi>d</mml:mi><mml:mi>t</mml:mi><mml:mo>.</mml:mo></mml:math></disp-formula></p>
<p><disp-formula id="eqn-14">
<label>(14)</label>
<mml:math id="mml-eqn-14" display="block"><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:munder><mml:mo movablelimits="true" form="prefix">lim</mml:mo><mml:mrow><mml:mi>T</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:mi mathvariant="normal">&#x221E;</mml:mi></mml:mrow></mml:mrow></mml:munder><mml:mfrac><mml:mn>1</mml:mn><mml:mi>T</mml:mi></mml:mfrac><mml:msubsup><mml:mo>&#x222B;</mml:mo><mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mfrac><mml:mi>T</mml:mi><mml:mn>2</mml:mn></mml:mfrac></mml:mrow><mml:mrow><mml:mfrac><mml:mi>T</mml:mi><mml:mn>2</mml:mn></mml:mfrac></mml:mrow></mml:msubsup><mml:mrow><mml:mrow><mml:mo stretchy="false">|</mml:mo></mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:msup><mml:mrow><mml:mo stretchy="false">|</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mi>d</mml:mi><mml:mi>t</mml:mi><mml:mo>.</mml:mo></mml:math></disp-formula></p>
<p><disp-formula id="eqn-15">
<label>(15)</label>
<mml:math id="mml-eqn-15" display="block"><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x03B1;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B2;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B8;</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>&#x03B1;</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub></mml:mfrac><mml:mo>.</mml:mo></mml:math></disp-formula></p>
<p><bold>Load feature extraction:</bold> Similar to the analysis of the degree of attention, changes in mental Load will also affect the complexity of the EEG signal [<xref ref-type="bibr" rid="ref-44">44</xref>]. Therefore, calculating the sample entropy is still a very good solution. To improve the expression ability, we also add the energy ratio of <inline-formula id="ieqn-95"><mml:math id="mml-ieqn-95"><mml:mi>&#x03B8;</mml:mi></mml:math></inline-formula> and <inline-formula id="ieqn-96"><mml:math id="mml-ieqn-96"><mml:mi>&#x03B1;</mml:mi></mml:math></inline-formula> waves.</p>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Experiment and Discussion</title>
<p>In this chapter, we conducted experiments on the network and analysis scheme proposed in this paper on the collected EEG dataset of volunteers and analyzed the results. In addition, the negative emotion will increase the probability of fatigue appearing [<xref ref-type="bibr" rid="ref-45">45</xref>], we think the negative emotion can be seen as the precursor feature of fatigue appearing. So the emotion recognition is meaningful in flight. Then we conducted experiments on SEED public dataset [<xref ref-type="bibr" rid="ref-46">46</xref>] which divided into 3 categories (positive, negative, and neutral) to verify if our method can perform well on such emotion recognition task.</p>
<sec id="s4_1">
<label>4.1</label>
<title>Experiment on Pilot&#x2019;s EEG Dataset</title>
<sec id="s4_1_1">
<label>4.1.1</label>
<title>Dataset</title>
<p>We collected the EEG data of 12 volunteers aged 18&#x2013;25 during the simulated flight. The experimental protocol is shown in <xref ref-type="fig" rid="fig-3">Fig. 3</xref>.</p>
<fig id="fig-3" >
<label>Figure 3</label>
<caption>
<title>experimental protocol.
Note: &#x002A; means the volunteer has simulated flight experience</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CSSE_34183-fig-3.tif"/>
</fig>
<p>The collection time of each object is about 2 h to ensure the comprehensiveness of data collection. The collection objects had been required to carry out a reasonable work and rest in the early stage and divided into three groups: A, B, and C according to the period (morning, afternoon, and evening). In addition, the subjects in group B were deprived of the noon break. The original acquisition frequency of all EEG signals is 512 H_Z, and the resampling frequency is 100 H_Z. The 26-channels physiological signals included 20-channels EEG signals, 2-channels ocular signals, 2-lead myoelectric signal, 1-channel skin electrical signal and 1-channel temperature recording signal of the international 10-20 system. During the collecting process, the objects are required to relax for 2 min before and after the simulation operation, and then to carry out a simulation flight of 2 h. The flight project is a five-sided flight (including take-off, climb, turn, level flight and descent stages around the airport). The data collecting environment consists of a simulated aircraft, a surround display screen and an EEG acquisition device. The environment is shown in <xref ref-type="fig" rid="fig-4">Fig. 4</xref>.</p>
<fig id="fig-4">
<label>Figure 4</label>
<caption>
<title>Data collection environment</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CSSE_34183-fig-4.tif"/>
</fig>
<p>After processing the necessary data, the signal is divided into 1.5 S segments, and each segment serves as a sample. The sample size is <inline-formula id="ieqn-97"><mml:math id="mml-ieqn-97"><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>&#x00D7;</mml:mo><mml:mn>20</mml:mn><mml:mo>&#x00D7;</mml:mo><mml:mn>150</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math></inline-formula>, and each sample includes 20 columns which correspond to 20-channels EEG signals. We select the EEG data of 2 collected objects from each group as the network pretraining data randomly. The leftover EEG data is manually labeled according to the 8 categories and then composed of fine-tuning data and test data at a ratio of 3:1.</p>
</sec>
<sec id="s4_1_2">
<label>4.1.2</label>
<title>Implementation Details</title>
<p>We use Pytorch1.5.1 framework to construct our classification network, and the network is initialized randomly under the default settings of PyTorch without any pretraining external dataset. The pretraining and fine-tuning of the classification network in this paper are trained on one NVIDIA Tesla V100-FHHL-16 GB. The data is divided into pretrain data, fine-tuning data and test data at a ratio of 5:3:1. It should be emphasized that pretrain data is the unlabeled data. The sample input size is 20 &#x00D7; 150, the optimizer is Adam, the batch size is set to 64, last 200 epochs, and the initial learning rate is 0.01. We use Random Searching to set batch size and initial learning rate. The learning rate obeys discrete descent during training. After the 160th epoch, the learning rate drops to 0.001. During the pretrain process, there are no precise classification targets generated, only the fake labels generated by the clustering which are used to update the network parameters. Due to the data in EEG dataset are divided into 8 categories, we set the Number of clusters K equal 8 while clustering. And the fine-tuning data is used to refine the network after the pretrain process is completed. The fine-tuning process is the same as the initial training except that the learning rate has been maintained at 0.001, and we conduct a tenfold cross-validation on fine-tuning process. Finally, we use test data to calculate the average test classification accuracy (test-ACC).</p>
</sec>
<sec id="s4_1_3">
<label>4.1.3</label>
<title>Results and Analysis</title>
<p><bold>Output of classification part:</bold> <xref ref-type="table" rid="table-1">Table 1</xref> shows the evaluation results of the output accuracy of the classifier on the pilot&#x2019;s EEG dataset according to the experimental rules. The average test classification accuracy is 86.29%.</p>
<table-wrap id="table-1">
<label>Table 1</label>
<caption>
<title>Average test classification accuracy</title>
</caption>
<table frame="hsides" >
<colgroup>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th style="background:#FFFFFF;">Volunteers</th>
<th style="background:#FFFFFF;">M</th>
<th style="background:#FFFFFF;">L</th>
<th style="background:#FFFFFF;">A</th>
<th style="background:#FFFFFF;">ML</th>
<th style="background:#FFFFFF;">MA</th>
<th style="background:#FFFFFF;">LA</th>
<th style="background:#FFFFFF;">MLA</th>
<th style="background:#FFFFFF;">H</th>
</tr>
</thead>
<tbody>
<tr>
<td style="background:#FFFFFF;">S1</td>
<td style="background:#FFFFFF;">86.54</td>
<td style="background:#FFFFFF;">86.13</td>
<td style="background:#FFFFFF;">86.32</td>
<td style="background:#FFFFFF;">86.73</td>
<td style="background:#FFFFFF;">85.48</td>
<td style="background:#FFFFFF;">85.62</td>
<td style="background:#FFFFFF;">86.07</td>
<td style="background:#FFFFFF;">86.42</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S2</td>
<td style="background:#FFFFFF;">86.16</td>
<td style="background:#FFFFFF;">86.91</td>
<td style="background:#FFFFFF;">85.89</td>
<td style="background:#FFFFFF;">85.67</td>
<td style="background:#FFFFFF;">86.60</td>
<td style="background:#FFFFFF;">86.36</td>
<td style="background:#FFFFFF;"><bold>87.19</bold></td>
<td style="background:#FFFFFF;"><bold>86.73</bold></td>
</tr>
<tr>
<td style="background:#FFFFFF;">S3</td>
<td style="background:#FFFFFF;">86.73</td>
<td style="background:#FFFFFF;">86.52</td>
<td style="background:#FFFFFF;">86.56</td>
<td style="background:#FFFFFF;">86.28</td>
<td style="background:#FFFFFF;">85.28</td>
<td style="background:#FFFFFF;">86.92</td>
<td style="background:#FFFFFF;">86.82</td>
<td style="background:#FFFFFF;">86.38</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S4</td>
<td style="background:#FFFFFF;">85.97</td>
<td style="background:#FFFFFF;"><bold>87.64</bold></td>
<td style="background:#FFFFFF;">86.93</td>
<td style="background:#FFFFFF;">85.51</td>
<td style="background:#FFFFFF;"><bold>87.21</bold></td>
<td style="background:#FFFFFF;"><bold>87.40</bold></td>
<td style="background:#FFFFFF;">86.51</td>
<td style="background:#FFFFFF;">85.92</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S5</td>
<td style="background:#FFFFFF;">86.48</td>
<td style="background:#FFFFFF;">86.82</td>
<td style="background:#FFFFFF;">85.37</td>
<td style="background:#FFFFFF;">85.39</td>
<td style="background:#FFFFFF;">86.80</td>
<td style="background:#FFFFFF;">85.88</td>
<td style="background:#FFFFFF;">86.30</td>
<td style="background:#FFFFFF;">86.50</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S6</td>
<td style="background:#FFFFFF;"><bold>86.85</bold></td>
<td style="background:#FFFFFF;">86.19</td>
<td style="background:#FFFFFF;">86.48</td>
<td style="background:#FFFFFF;"><bold>86.92</bold></td>
<td style="background:#FFFFFF;">86.57</td>
<td style="background:#FFFFFF;">86.47</td>
<td style="background:#FFFFFF;">86.81</td>
<td style="background:#FFFFFF;">86.70</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S7</td>
<td style="background:#FFFFFF;">85.27</td>
<td style="background:#FFFFFF;">86.65</td>
<td style="background:#FFFFFF;">86.53</td>
<td style="background:#FFFFFF;">86.44</td>
<td style="background:#FFFFFF;">85.06</td>
<td style="background:#FFFFFF;">86.23</td>
<td style="background:#FFFFFF;">86.58</td>
<td style="background:#FFFFFF;">85.05</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S8</td>
<td style="background:#FFFFFF;">86.82</td>
<td style="background:#FFFFFF;">85.73</td>
<td style="background:#FFFFFF;">85.68</td>
<td style="background:#FFFFFF;">85.35</td>
<td style="background:#FFFFFF;">85.84</td>
<td style="background:#FFFFFF;">86.39</td>
<td style="background:#FFFFFF;">86.08</td>
<td style="background:#FFFFFF;">85.48</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S9</td>
<td style="background:#FFFFFF;">86.69</td>
<td style="background:#FFFFFF;">86.82</td>
<td style="background:#FFFFFF;">85.46</td>
<td style="background:#FFFFFF;">86.72</td>
<td style="background:#FFFFFF;">86.46</td>
<td style="background:#FFFFFF;">86.25</td>
<td style="background:#FFFFFF;">85.35</td>
<td style="background:#FFFFFF;">86.41</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S10</td>
<td style="background:#FFFFFF;">86.53</td>
<td style="background:#FFFFFF;">85.54</td>
<td style="background:#FFFFFF;">86.85</td>
<td style="background:#FFFFFF;">86.06</td>
<td style="background:#FFFFFF;">86.71</td>
<td style="background:#FFFFFF;">86.06</td>
<td style="background:#FFFFFF;">85.81</td>
<td style="background:#FFFFFF;">86.33</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S11</td>
<td style="background:#FFFFFF;">86.47</td>
<td style="background:#FFFFFF;">86.82</td>
<td style="background:#FFFFFF;">85.12</td>
<td style="background:#FFFFFF;">86.72</td>
<td style="background:#FFFFFF;">86.31</td>
<td style="background:#FFFFFF;">86.81</td>
<td style="background:#FFFFFF;">86.08</td>
<td style="background:#FFFFFF;">85.96</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S12</td>
<td style="background:#FFFFFF;">86.01</td>
<td style="background:#FFFFFF;">85.83</td>
<td style="background:#FFFFFF;"><bold>87.27</bold></td>
<td style="background:#FFFFFF;">86.50</td>
<td style="background:#FFFFFF;">86.52</td>
<td style="background:#FFFFFF;">86.91</td>
<td style="background:#FFFFFF;">85.47</td>
<td style="background:#FFFFFF;">86.64</td>
</tr>
</tbody>
</table>
<table-wrap-foot><p>Note: Bold numbers represent the best result in each mental state. The column names are 8 categories of the data: &#x201C;M&#x201D; represents Mental Fatigue is abnormal, &#x201C;L&#x201D; represents Load is abnormal, &#x201C;A&#x201D; represents Attention is abnormal, &#x201C;ML&#x201D; represents both Mental Fatigue and Load are abnormal, &#x201C;MA&#x201D; represents both Mental Fatigue and Attention are abnormal, &#x201C;LA&#x201D; represents both Load and Attention are abnormal, &#x201C;MLA&#x201D; represents three parameters are abnormal, &#x201C;H&#x201D; represents three parameters are normal.</p></table-wrap-foot>
</table-wrap>
<p>At the same time, we also compared this method with others, shown in <xref ref-type="table" rid="table-2">Table 2</xref>. The results show that this method has better performance on the more complex EEG signal classification task. Our method performed better than [<xref ref-type="bibr" rid="ref-47">47</xref>] using residual learning, and improved the accuracy by 10.86%. The performance of the method increased by 4% than VPR [<xref ref-type="bibr" rid="ref-48">48</xref>], which achieves the SOTA performance on the SEED dataset. However, traditional methods such as SVM and Bi-LSTM performed weakly and only achieve accuracy of 69.39% and 71.08%, respectively.</p>
<table-wrap id="table-2">
<label>Table 2</label>
<caption>
<title>Comparison results of various methods on pilot&#x2019;s dataset</title>
</caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th style="background:#FFFFFF;">Method</th>
<th style="background:#FFFFFF;">Accuracy</th>
<th style="background:#FFFFFF;">Category</th>
</tr>
</thead>
<tbody>
<tr>
<td style="background:#FFFFFF;">Proposed method with improved K-means</td>
<td style="background:#FFFFFF;">86.29</td>
<td style="background:#FFFFFF;">8</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Proposed method with K-means</td>
<td style="background:#FFFFFF;">82.02</td>
<td style="background:#FFFFFF;">8</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Proposed method with PCA</td>
<td style="background:#FFFFFF;">72.88</td>
<td style="background:#FFFFFF;">8</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Proposed method with GMM</td>
<td style="background:#FFFFFF;">73.19</td>
<td style="background:#FFFFFF;">8</td>
</tr>
<tr>
<td style="background:#FFFFFF;">VPR [<xref ref-type="bibr" rid="ref-47">47</xref>]</td>
<td style="background:#FFFFFF;">82.29</td>
<td style="background:#FFFFFF;">8</td>
</tr>
<tr>
<td style="background:#FFFFFF;">STRNN [<xref ref-type="bibr" rid="ref-48">48</xref>]</td>
<td style="background:#FFFFFF;">81.54</td>
<td style="background:#FFFFFF;">8</td>
</tr>
<tr>
<td style="background:#FFFFFF;">DGCNN [<xref ref-type="bibr" rid="ref-49">49</xref>]</td>
<td style="background:#FFFFFF;">80.02</td>
<td style="background:#FFFFFF;">8</td>
</tr>
<tr>
<td style="background:#FFFFFF;">RGNN [<xref ref-type="bibr" rid="ref-50">50</xref>]</td>
<td style="background:#FFFFFF;">79.27</td>
<td style="background:#FFFFFF;">8</td>
</tr>
<tr>
<td style="background:#FFFFFF;">SVM [<xref ref-type="bibr" rid="ref-51">51</xref>]</td>
<td style="background:#FFFFFF;">69.39</td>
<td style="background:#FFFFFF;">8</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Bi-LSTM [<xref ref-type="bibr" rid="ref-52">52</xref>]</td>
<td style="background:#FFFFFF;">71.08</td>
<td style="background:#FFFFFF;">8</td>
</tr>
<tr>
<td style="background:#FFFFFF;">HCNN [<xref ref-type="bibr" rid="ref-53">53</xref>]</td>
<td style="background:#FFFFFF;">82.98</td>
<td style="background:#FFFFFF;">8</td>
</tr>
<tr>
<td style="background:#FFFFFF;">4D-CRNN [<xref ref-type="bibr" rid="ref-54">54</xref>]</td>
<td style="background:#FFFFFF;">85.41</td>
<td style="background:#FFFFFF;">8</td>
</tr>
<tr>
<td style="background:#FFFFFF;">4D-aNN [<xref ref-type="bibr" rid="ref-55">55</xref>]</td>
<td style="background:#FFFFFF;">85.89</td>
<td style="background:#FFFFFF;">8</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>We quantified the Operational Distraction (A1), Non-operational Distraction (A2), and Physiological Distraction (A3) of pilots from the values of <inline-formula id="ieqn-98"><mml:math id="mml-ieqn-98"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>, <inline-formula id="ieqn-99"><mml:math id="mml-ieqn-99"><mml:msubsup><mml:mi>S</mml:mi><mml:mrow><mml:mi>&#x03B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> and <inline-formula id="ieqn-100"><mml:math id="mml-ieqn-100"><mml:mrow><mml:mi mathvariant="italic">S</mml:mi><mml:mi mathvariant="italic">a</mml:mi><mml:mi mathvariant="italic">m</mml:mi><mml:mi mathvariant="italic">p</mml:mi><mml:mi mathvariant="italic">E</mml:mi><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:math></inline-formula>, as in <xref ref-type="fig" rid="fig-5">Fig. 5</xref>. In <xref ref-type="fig" rid="fig-5">Fig. 5a</xref>, it can be seen that there is a significant difference between A3 and A1, A3 and A2 with <inline-formula id="ieqn-101"><mml:math id="mml-ieqn-101"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> values, which means that the more distracted attention is, the smaller value of <inline-formula id="ieqn-102"><mml:math id="mml-ieqn-102"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> or the greater value of <inline-formula id="ieqn-103"><mml:math id="mml-ieqn-103"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> will be, and when the <inline-formula id="ieqn-104"><mml:math id="mml-ieqn-104"><mml:mi>&#x03B8;</mml:mi></mml:math></inline-formula> rhythm is dominant, the person&#x2019;s awareness is blurred and the body enters a state of deep relaxation. The low component of the <inline-formula id="ieqn-105"><mml:math id="mml-ieqn-105"><mml:mi>&#x03B2;</mml:mi></mml:math></inline-formula> rhythm reflects the pilot&#x2019;s low attention. In <xref ref-type="fig" rid="fig-5">Fig. 5b</xref>, we can see that <inline-formula id="ieqn-106"><mml:math id="mml-ieqn-106"><mml:msubsup><mml:mi>S</mml:mi><mml:mrow><mml:mi>&#x03B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> has a maximum value in the A1 state, indicating the <inline-formula id="ieqn-107"><mml:math id="mml-ieqn-107"><mml:mi>&#x03B1;</mml:mi></mml:math></inline-formula> rhythm fluctuates more significantly and its sequence is also more complex in the A1 state. In contrast, <inline-formula id="ieqn-108"><mml:math id="mml-ieqn-108"><mml:msubsup><mml:mi>S</mml:mi><mml:mrow><mml:mi>&#x03B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> is the smallest in the A3 state, and the complexity of the alpha rhythm is reduced. And the greater the value of <inline-formula id="ieqn-109"><mml:math id="mml-ieqn-109"><mml:mrow><mml:mi mathvariant="italic">S</mml:mi><mml:mi mathvariant="italic">a</mml:mi><mml:mi mathvariant="italic">m</mml:mi><mml:mi mathvariant="italic">p</mml:mi><mml:mi mathvariant="italic">E</mml:mi><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:math></inline-formula>, the higher the complexity of the corresponding EEG signal. In <xref ref-type="fig" rid="fig-5">Fig. 5c</xref>, it can be seen that the EEG signal is the most complex when the pilot is in the A1 state, which coincides with what is reflected in <xref ref-type="fig" rid="fig-5">Fig. 5b</xref>. As a whole, each distracted state is bound to a specific interval at different indicators of attention. When A3 is present, <inline-formula id="ieqn-110"><mml:math id="mml-ieqn-110"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> is generally greater, A2 the second and A1 is the littlest. In the A1 state, <inline-formula id="ieqn-111"><mml:math id="mml-ieqn-111"><mml:msubsup><mml:mi>S</mml:mi><mml:mrow><mml:mi>&#x03B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> and <inline-formula id="ieqn-112"><mml:math id="mml-ieqn-112"><mml:mrow><mml:mi mathvariant="italic">S</mml:mi><mml:mi mathvariant="italic">a</mml:mi><mml:mi mathvariant="italic">m</mml:mi><mml:mi mathvariant="italic">p</mml:mi><mml:mi mathvariant="italic">E</mml:mi><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:math></inline-formula> were generally more significant, with A2 having the next most significant value and A3 having the littlest. We conclude: the levels of A1, A2 and A3 are positively correlated with <inline-formula id="ieqn-113"><mml:math id="mml-ieqn-113"><mml:msubsup><mml:mi>S</mml:mi><mml:mrow><mml:mi>&#x03B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> and <inline-formula id="ieqn-114"><mml:math id="mml-ieqn-114"><mml:mrow><mml:mi mathvariant="italic">S</mml:mi><mml:mi mathvariant="italic">a</mml:mi><mml:mi mathvariant="italic">m</mml:mi><mml:mi mathvariant="italic">p</mml:mi><mml:mi mathvariant="italic">E</mml:mi><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:math></inline-formula> and negatively correlated with <inline-formula id="ieqn-115"><mml:math id="mml-ieqn-115"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>.</p>
<fig id="fig-5">
<label>Figure 5</label>
<caption>
<title>Attention feature under parameter quantification</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CSSE_34183-fig-5.tif"/>
</fig>
<p>The values of <inline-formula id="ieqn-116"><mml:math id="mml-ieqn-116"><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x03B1;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B2;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B8;</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula id="ieqn-117"><mml:math id="mml-ieqn-117"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> are used to evaluate the Transient Fatigue (F1), Circadian Fatigue (F2) and Cumulative Fatigue (F3) of the pilots as in <xref ref-type="fig" rid="fig-6">Fig. 6</xref>. As shown in <xref ref-type="fig" rid="fig-6">Fig. 6a</xref>, the value of <inline-formula id="ieqn-118"><mml:math id="mml-ieqn-118"><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x03B1;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B2;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B8;</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> differently at different levels of fatigue. The average power of the EEG over a period reflects the distribution of energy and expresses the corresponding physiological state. When the <inline-formula id="ieqn-119"><mml:math id="mml-ieqn-119"><mml:mi>&#x03B1;</mml:mi></mml:math></inline-formula> rhythm is dominant, the person is conscious, but the body is relaxed. In this state, the brain receives more energy, the brain will be more active and more responsive. When the <inline-formula id="ieqn-120"><mml:math id="mml-ieqn-120"><mml:mi>&#x03B8;</mml:mi></mml:math></inline-formula> rhythm performs strongly, the person&#x0027;s consciousness is blurred and the body enters a deeply relaxed state. The value of <inline-formula id="ieqn-121"><mml:math id="mml-ieqn-121"><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> in the most fatigued state is smaller than the value of (<inline-formula id="ieqn-122"><mml:math id="mml-ieqn-122"><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>&#x03B1;</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>). As shown in <xref ref-type="fig" rid="fig-6">Fig. 6b</xref>, there is a significant decrease in <inline-formula id="ieqn-123"><mml:math id="mml-ieqn-123"><mml:mi>&#x03B2;</mml:mi></mml:math></inline-formula> rhythm activity during the transition from the Non-fatigued state to the fatigued state. As seen overall, <inline-formula id="ieqn-124"><mml:math id="mml-ieqn-124"><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x03B1;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B2;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B8;</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> is stable in a certain interval, while <inline-formula id="ieqn-125"><mml:math id="mml-ieqn-125"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> is not stable enough. When F1 is present, <inline-formula id="ieqn-126"><mml:math id="mml-ieqn-126"><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x03B1;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B2;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B8;</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> is significantly littler and F2 is generally lower than F3. In F3 state, <inline-formula id="ieqn-127"><mml:math id="mml-ieqn-127"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> is minimal and F2 is generally lower than F1. We conclude: the levels of F1, F2 and F3 were positively correlated with <inline-formula id="ieqn-128"><mml:math id="mml-ieqn-128"><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x03B1;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B2;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B8;</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> and negatively correlated with <inline-formula id="ieqn-129"><mml:math id="mml-ieqn-129"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>.</p>
<fig id="fig-6">
<label>Figure 6</label>
<caption>
<title>Mental fatigue feature under parameter quantification</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CSSE_34183-fig-6.tif"/>
</fig>
<p>The values of <inline-formula id="ieqn-130"><mml:math id="mml-ieqn-130"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula id="ieqn-131"><mml:math id="mml-ieqn-131"><mml:mrow><mml:mi mathvariant="italic">S</mml:mi><mml:mi mathvariant="italic">a</mml:mi><mml:mi mathvariant="italic">m</mml:mi><mml:mi mathvariant="italic">p</mml:mi><mml:mi mathvariant="italic">E</mml:mi><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:math></inline-formula> are used to quantify the Time Load (W1), Mental Effort Load (W2), and Psychological Stress Load (W3) of the pilots as in <xref ref-type="fig" rid="fig-7">Fig. 7</xref>. As shown in <xref ref-type="fig" rid="fig-7">Fig. 7a</xref>, the relative energy of <inline-formula id="ieqn-132"><mml:math id="mml-ieqn-132"><mml:mi>&#x03B2;</mml:mi></mml:math></inline-formula> tends to increase from W3 to W1. When the <inline-formula id="ieqn-133"><mml:math id="mml-ieqn-133"><mml:mi>&#x03B2;</mml:mi></mml:math></inline-formula> rhythm is dominant, the brain presents a state of tension, which results in a Psychological Stress Load. As shown in <xref ref-type="fig" rid="fig-7">Fig. 7b</xref>, in the W3 state, the complexity of the EEG signal is highest and the Psychological Stress Load is high. In the W1 state, the complexity of the EEG signal is the lowest and the Psychological Stress Load is low. As a whole, it is evident that both indices are not stable enough, but different levels of load can still be distinguished. For the ratio of <inline-formula id="ieqn-134"><mml:math id="mml-ieqn-134"><mml:mi>&#x03B2;</mml:mi></mml:math></inline-formula> rhythm energy to <inline-formula id="ieqn-135"><mml:math id="mml-ieqn-135"><mml:mi>&#x03B8;</mml:mi></mml:math></inline-formula> rhythm energy, W1 is the highest, W2 the second, and W3 the lowest, while for the value of <inline-formula id="ieqn-136"><mml:math id="mml-ieqn-136"><mml:mrow><mml:mi mathvariant="italic">S</mml:mi><mml:mi mathvariant="italic">a</mml:mi><mml:mi mathvariant="italic">m</mml:mi><mml:mi mathvariant="italic">p</mml:mi><mml:mi mathvariant="italic">E</mml:mi><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:math></inline-formula> the opposite is true. We conclude: the levels of W1, W2 and W3 were positively correlated with <inline-formula id="ieqn-137"><mml:math id="mml-ieqn-137"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and negatively correlated with <inline-formula id="ieqn-138"><mml:math id="mml-ieqn-138"><mml:mrow><mml:mi mathvariant="italic">S</mml:mi><mml:mi mathvariant="italic">a</mml:mi><mml:mi mathvariant="italic">m</mml:mi><mml:mi mathvariant="italic">p</mml:mi><mml:mi mathvariant="italic">E</mml:mi><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
<fig id="fig-7">
<label>Figure 7</label>
<caption>
<title>Load feature under parameter quantification</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CSSE_34183-fig-7.tif"/>
</fig>
<p>After analyzing a large amount of data, we summarize the positive and negative correlations between the nine levels of pilot mental state and the five assessment parameters (&#x201C;&#x002B;&#x201D; for positive correlation, &#x201C;-&#x201D; for negative correlation and &#x201C;&#x002A;&#x201D; for no significant correlation). For example, Operational Distraction (A1) is positive correlation to Variance of Theta and negative correlation to Sample entropy. The results provide an important basis for a comprehensive assessment of pilot mental states, shown in <xref ref-type="table" rid="table-3">Table 3</xref>.</p>
<table-wrap id="table-3">
<label>Table 3</label>
<caption>
<title>Correlation between the degree of pilot mental state and assessment parameters</title>
</caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th style="background:#FFFFFF;"></th>
<th style="background:#FFFFFF;">A1</th>
<th style="background:#FFFFFF;">A2</th>
<th style="background:#FFFFFF;">A3</th>
<th style="background:#FFFFFF;">F1</th>
<th style="background:#FFFFFF;">F2</th>
<th style="background:#FFFFFF;">F3</th>
<th style="background:#FFFFFF;">W1</th>
<th style="background:#FFFFFF;">W2</th>
<th style="background:#FFFFFF;">W3</th>
</tr>
</thead>
<tbody>
<tr>
<td style="background:#FFFFFF;">Sample entropy</td>
<td style="background:#FFFFFF;">&#x2013;</td>
<td style="background:#FFFFFF;">&#x2013;</td>
<td style="background:#FFFFFF;">&#x2013;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x2013;</td>
<td style="background:#FFFFFF;">&#x2013;</td>
<td style="background:#FFFFFF;">&#x2013;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Variance of theta</td>
<td style="background:#FFFFFF;">&#x002B;</td>
<td style="background:#FFFFFF;">&#x002B;</td>
<td style="background:#FFFFFF;">&#x002B;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Ratio of average power</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002B;</td>
<td style="background:#FFFFFF;">&#x002B;</td>
<td style="background:#FFFFFF;">&#x002B;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Relative energy of beta</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x2013;</td>
<td style="background:#FFFFFF;">&#x2013;</td>
<td style="background:#FFFFFF;">&#x2013;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Ratio of beta to theta</td>
<td style="background:#FFFFFF;">&#x2013;</td>
<td style="background:#FFFFFF;">&#x2013;</td>
<td style="background:#FFFFFF;">&#x2013;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002A;</td>
<td style="background:#FFFFFF;">&#x002B;</td>
<td style="background:#FFFFFF;">&#x002B;</td>
<td style="background:#FFFFFF;">&#x002B;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Based on the above analysis, a pilot mental state scoring mechanism is developed to present the mental state of pilots more directly. Among them, the weight of the mental state representative factor is the key to constructing the scoring mechanism. The weight reflects the importance of that mental state in the scoring stage. Therefore, the mental state weight must be selected reasonably to have correct learning state assessment results. However, as the only three mental state factors selected in this paper&#x2019;s methodology are Mental Fatigue, Load and Attention, if any one factor is overweighted, it will have a great impact on the learning state assessment model, so we combined the causes of flight accidents [<xref ref-type="bibr" rid="ref-8">8</xref>,<xref ref-type="bibr" rid="ref-9">9</xref>,<xref ref-type="bibr" rid="ref-54">54</xref>,<xref ref-type="bibr" rid="ref-55">55</xref>] and assigned a weight of 0.2 to the Mental Fatigue factor, 0.3 to the Load factor and the Attention factor is given a weight of 0.5. Moreover, to improve the tolerance of the mental state assessment results for classification, we chose to assess the pilot&#x2019;s mental state in a comprehensive manner using the total rating over the past 60 s. Since our calculation of EEG data is based on a period of 5 s, the total score of the mental state within 60 s is the total score of the results of 12 mental state evaluations.</p>
<p>As we have a more detailed degree classification for each mental state factor, we also need to assign corresponding scores to the different degrees in the scoring process. Combined with the normal mental state levels, the worst condition is the time when pilots in A1, F3 and W3 states. Thus, we assign a score of 1 to A1, F3 and W3, 2 and 3 to the remaining two states for each factor in this case, shown in <xref ref-type="table" rid="table-4">Table 4</xref>.</p>
<table-wrap id="table-4">
<label>Table 4</label>
<caption>
<title>Pilot mental state score by degree</title>
</caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th style="background:#FFFFFF;">State</th>
<th style="background:#FFFFFF;">A1</th>
<th style="background:#FFFFFF;">A2</th>
<th style="background:#FFFFFF;">A3</th>
<th style="background:#FFFFFF;">F1</th>
<th style="background:#FFFFFF;">F2</th>
<th style="background:#FFFFFF;">F3</th>
<th style="background:#FFFFFF;">W1</th>
<th style="background:#FFFFFF;">W2</th>
<th style="background:#FFFFFF;">W3</th>
<th style="background:#FFFFFF;">H</th>
</tr>
</thead>
<tbody>
<tr>
<td style="background:#FFFFFF;">Score</td>
<td style="background:#FFFFFF;">1</td>
<td style="background:#FFFFFF;">2</td>
<td style="background:#FFFFFF;">3</td>
<td style="background:#FFFFFF;">3</td>
<td style="background:#FFFFFF;">2</td>
<td style="background:#FFFFFF;">1</td>
<td style="background:#FFFFFF;">3</td>
<td style="background:#FFFFFF;">2</td>
<td style="background:#FFFFFF;">1</td>
<td style="background:#FFFFFF;">4</td>
</tr>
</tbody>
</table>
<table-wrap-foot><p>Note: H means that there is no abnormality in Mental Fatigue, Load and Attention. And we give the weight of 1 to it.</p>
</table-wrap-foot>
</table-wrap>
<p>After we introduce the weight, the maximum total score of the assessment results for mental state is 48 and the minimum is 12. We consider an assessment result with a total score of less than 24 to be an unqualified mental state, because the pilot&#x2019;s average score for the three types of mental state is already below half in this case. We also test for extremes, such as consistently high scores for one, and two factors and consistently low scores for another. To solve this problem, we will detect a single factor. In the stage of mental state assessment, when H is 0, if any of the Mental Fatigue factor, Attention factor and Load factor is lower than the threshold (4.8, 12, 7.2), we also think the object&#x2019;s mental state is unqualified. <xref ref-type="table" rid="table-5">Table 5</xref> shows the results of scoring the volunteers.</p>
<table-wrap id="table-5">
<label>Table 5</label>
<caption>
<title>Mental state scoring results of 12 volunteers</title>
</caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th style="background:#FFFFFF;">Volunteers</th>
<th style="background:#FFFFFF;">A</th>
<th style="background:#FFFFFF;">F</th>
<th style="background:#FFFFFF;">W</th>
<th style="background:#FFFFFF;">H</th>
<th style="background:#FFFFFF;">Total score</th>
<th style="background:#FFFFFF;"></th>
</tr>
</thead>
<tbody>
<tr>
<td style="background:#FFFFFF;">S1</td>
<td style="background:#FFFFFF;">10.5</td>
<td style="background:#FFFFFF;">5.2</td>
<td style="background:#FFFFFF;">6</td>
<td style="background:#FFFFFF;">12</td>
<td style="background:#FFFFFF;">33.7</td>
<td style="background:#FFFFFF;">&#x221A;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S2</td>
<td style="background:#FFFFFF;">11</td>
<td style="background:#FFFFFF;">5.6</td>
<td style="background:#FFFFFF;">6.9</td>
<td style="background:#FFFFFF;">8</td>
<td style="background:#FFFFFF;">31.5</td>
<td style="background:#FFFFFF;">&#x221A;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S3</td>
<td style="background:#FFFFFF;">12</td>
<td style="background:#FFFFFF;">4.6</td>
<td style="background:#FFFFFF;">6.6</td>
<td style="background:#FFFFFF;">16</td>
<td style="background:#FFFFFF;">39.2</td>
<td style="background:#FFFFFF;">&#x221A;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S4</td>
<td style="background:#FFFFFF;">10</td>
<td style="background:#FFFFFF;">3.6</td>
<td style="background:#FFFFFF;">4.5</td>
<td style="background:#FFFFFF;">20</td>
<td style="background:#FFFFFF;">38.1</td>
<td style="background:#FFFFFF;">&#x221A;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S5</td>
<td style="background:#FFFFFF;">11</td>
<td style="background:#FFFFFF;">6.8</td>
<td style="background:#FFFFFF;">8.7</td>
<td style="background:#FFFFFF;">0</td>
<td style="background:#FFFFFF;">26.5</td>
<td style="background:#FFFFFF;">&#x00D7;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S6</td>
<td style="background:#FFFFFF;">7</td>
<td style="background:#FFFFFF;">4</td>
<td style="background:#FFFFFF;">4.8</td>
<td style="background:#FFFFFF;">8</td>
<td style="background:#FFFFFF;">23.8</td>
<td style="background:#FFFFFF;">&#x00D7;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S7</td>
<td style="background:#FFFFFF;">8</td>
<td style="background:#FFFFFF;">4.6</td>
<td style="background:#FFFFFF;">6</td>
<td style="background:#FFFFFF;">4</td>
<td style="background:#FFFFFF;">22.6</td>
<td style="background:#FFFFFF;">&#x00D7;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S8</td>
<td style="background:#FFFFFF;">11.5</td>
<td style="background:#FFFFFF;">4.8</td>
<td style="background:#FFFFFF;">6.3</td>
<td style="background:#FFFFFF;">12</td>
<td style="background:#FFFFFF;">34.6</td>
<td style="background:#FFFFFF;">&#x221A;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S9</td>
<td style="background:#FFFFFF;">9</td>
<td style="background:#FFFFFF;">3.6</td>
<td style="background:#FFFFFF;">5.4</td>
<td style="background:#FFFFFF;">24</td>
<td style="background:#FFFFFF;">42</td>
<td style="background:#FFFFFF;">&#x221A;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S10</td>
<td style="background:#FFFFFF;">10</td>
<td style="background:#FFFFFF;">6.8</td>
<td style="background:#FFFFFF;">10.5</td>
<td style="background:#FFFFFF;">0</td>
<td style="background:#FFFFFF;">27.3</td>
<td style="background:#FFFFFF;">&#x00D7;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S11</td>
<td style="background:#FFFFFF;">11.5</td>
<td style="background:#FFFFFF;">4.4</td>
<td style="background:#FFFFFF;">6</td>
<td style="background:#FFFFFF;">16</td>
<td style="background:#FFFFFF;">37.9</td>
<td style="background:#FFFFFF;">&#x221A;</td>
</tr>
<tr>
<td style="background:#FFFFFF;">S12</td>
<td style="background:#FFFFFF;">9.5</td>
<td style="background:#FFFFFF;">3.6</td>
<td style="background:#FFFFFF;">5.7</td>
<td style="background:#FFFFFF;">4</td>
<td style="background:#FFFFFF;">22.8</td>
<td style="background:#FFFFFF;">&#x00D7;</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Experiment on SEED Dataset</title>
<p>Both the emotion and fatigue recognition are classification tasks based on EEG, and emotion recognition is also meaningful during the flight. To demonstrate whether the method proposed in this paper can perform well in similar classification tasks, we remove the evaluation part and only retain the classification part. The experiment on SEED is used to verify the performance on emotion recognition of the method proposed in this paper, and we compare it with other networks.</p>
<p>The SEED dataset describes a three-emotion classification task (positive, negative, and neutral). Unlike the pilot&#x0027;s EEG dataset as the test object, the SEED dataset uses a supervised learning method to train the network. According to the preset of [<xref ref-type="bibr" rid="ref-56">56</xref>], using 9 sub-datasets as training data, and the rest as test data. <xref ref-type="table" rid="table-6">Table 6</xref> shows the performance comparison results of our method and other related methods on the public dataset SEED. The objects of comparison include some classic methods and novel work in the past year. In [<xref ref-type="bibr" rid="ref-50">50</xref>], DGCNN uses a graphical model to model multi-channel EEG features, which provides a 90.40% accuracy performance. In [<xref ref-type="bibr" rid="ref-51">51</xref>], RGNN considered the biological topological relationship between different brain regions, and achieved an accuracy of 94.24% on the SEED dataset. In [<xref ref-type="bibr" rid="ref-48">48</xref>] and [<xref ref-type="bibr" rid="ref-57">57</xref>], STRNN and R2G-STNN utilize the characteristics of RNN and LSTM in spatial and temporal information, respectively. Among them, STRNN unifies the learning process of two different signal sources into a time-dependent model, traversing the spatial region of each time segment from multiple angles, and shows a performance of 89.50% on the SEED dataset. R2G-STNN adopts a Bidirectional Long and Short-Term Memory (BiLSTM) network and achieves an accuracy of 93.38%. In [<xref ref-type="bibr" rid="ref-47">47</xref>], the researchers propose a heuristic Variable Path Reasoning (VPR) method to deal with EEG-based emotion recognition problems, which showed extraordinary performance and achieved a high accuracy rate of 94.39%. Unlike the above methods, this paper organically combines CNN and attention mechanism, and the accuracy rate on the public dataset SEED reaches 93.68%. This performance is close to the current SOTA results and shows that the method proposed in this paper has good generalization ability.</p>
<table-wrap id="table-6">
<label>Table 6</label>
<caption>
<title>Comparison of different solutions and results for the SEED dataset</title>
</caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th style="background:#FFFFFF;">Paper</th>
<th style="background:#FFFFFF;">Method</th>
<th style="background:#FFFFFF;">ACC. &#x00B1; SD</th>
<th style="background:#FFFFFF;">Category</th>
</tr>
</thead>
<tbody>
<tr>
<td style="background:#FFFFFF;">[<xref ref-type="bibr" rid="ref-47">47</xref>]</td>
<td style="background:#FFFFFF;">VPR</td>
<td style="background:#FFFFFF;">94.39 (&#x00B1;6.50)</td>
<td style="background:#FFFFFF;">3</td>
</tr>
<tr>
<td style="background:#FFFFFF;">[<xref ref-type="bibr" rid="ref-48">48</xref>]</td>
<td style="background:#FFFFFF;">STRNN</td>
<td style="background:#FFFFFF;">89.50 (&#x00B1;7.63)</td>
<td style="background:#FFFFFF;">3</td>
</tr>
<tr>
<td style="background:#FFFFFF;">[<xref ref-type="bibr" rid="ref-49">49</xref>]</td>
<td style="background:#FFFFFF;">DGCNN</td>
<td style="background:#FFFFFF;">90.40 (&#x00B1;8.49)</td>
<td style="background:#FFFFFF;">3</td>
</tr>
<tr>
<td style="background:#FFFFFF;">[<xref ref-type="bibr" rid="ref-50">50</xref>]</td>
<td style="background:#FFFFFF;">RGNN</td>
<td style="background:#FFFFFF;">94.24 (&#x00B1;5.95)</td>
<td style="background:#FFFFFF;">3</td>
</tr>
<tr>
<td style="background:#FFFFFF;">[<xref ref-type="bibr" rid="ref-51">51</xref>]</td>
<td style="background:#FFFFFF;">SVM</td>
<td style="background:#FFFFFF;">83.99 (&#x00B1;9.72)</td>
<td style="background:#FFFFFF;">3</td>
</tr>
<tr>
<td style="background:#FFFFFF;">[<xref ref-type="bibr" rid="ref-53">53</xref>]</td>
<td style="background:#FFFFFF;">HCNN</td>
<td style="background:#FFFFFF;">88.60 (&#x00B1;4.92)</td>
<td style="background:#FFFFFF;">3</td>
</tr>
<tr>
<td style="background:#FFFFFF;">[<xref ref-type="bibr" rid="ref-54">54</xref>]</td>
<td style="background:#FFFFFF;">4D-CRNN</td>
<td style="background:#FFFFFF;">94.74 (&#x00B1;6.37)</td>
<td style="background:#FFFFFF;">3</td>
</tr>
<tr>
<td style="background:#FFFFFF;">[<xref ref-type="bibr" rid="ref-55">55</xref>]</td>
<td style="background:#FFFFFF;">4D-aNN</td>
<td style="background:#FFFFFF;">96.10 (&#x00B1;8.71)</td>
<td style="background:#FFFFFF;">3</td>
</tr>
<tr>
<td style="background:#FFFFFF;">[<xref ref-type="bibr" rid="ref-57">57</xref>]</td>
<td style="background:#FFFFFF;">R2G-STNN</td>
<td style="background:#FFFFFF;">96.10 (&#x00B1;8.71)</td>
<td style="background:#FFFFFF;">3</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Ours</td>
<td style="background:#FFFFFF;">Proposed method with GMM</td>
<td style="background:#FFFFFF;">83.59 (&#x00B1;7.34)</td>
<td style="background:#FFFFFF;">3</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Ours</td>
<td style="background:#FFFFFF;">Proposed method with PCA</td>
<td style="background:#FFFFFF;">79.46 (&#x00B1;8.01)</td>
<td style="background:#FFFFFF;">3</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Ours</td>
<td style="background:#FFFFFF;">Proposed method with K-means</td>
<td style="background:#FFFFFF;">87.38 (&#x00B1;6.03)</td>
<td style="background:#FFFFFF;">3</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Ours</td>
<td style="background:#FFFFFF;">Proposed method with improved K-means</td>
<td style="background:#FFFFFF;">93.68 (&#x00B1;6.12)</td>
<td style="background:#FFFFFF;">3</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Design Evaluation</title>
<p>Attention mechanism, semi-supervised learning and multi-parameter evaluation are the core of the method in this paper. We designed related experiments to further understand its role. The experimental data set uses the pilot&#x2019;s EEG dataset.</p>
<p><bold>Attention block:</bold> Remove the attention block in the network, and connect the first AvgPool directly to Conv_2 as a baseline. The experimental implementation details are consistent with those given in 4.1.2, and only the output results of the classification part are considered. The experimental results are shown in <xref ref-type="fig" rid="fig-8">Fig. 8</xref>.</p>
<fig id="fig-8">
<label>Figure 8</label>
<caption>
<title>Comparison of experimental results between baseline and proposed method</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CSSE_34183-fig-8.tif"/>
</fig>
<p>The results show that after the introduction of the attention mechanism, the method in this paper is better than the baseline in terms of accuracy and convergence speed, and the accuracy rate is increased by 14.06% compared with the baseline (72.23%). Therefore, the introduction of the attention mechanism does help the classification accuracy and convergence of the network.</p>
<p><bold>Training method:</bold> To study the advantages of semi-supervised learning compared to supervised learning in complex EEG data, we collected the EEG data of three additional volunteers to verify that the semi-supervised learning model has better generalization. The experimental implementation details of semi-supervised learning are the same as those in 4.1.2. In addition to the different ways of using the dataset, the parameter settings of the network are the same as semi-supervised learning. In supervised learning method, we directly train the train dataset as a whole, without dividing it into 2 parts: pretraining and fine-tuning training. This experiment is only for the classification part.</p>
<p><xref ref-type="table" rid="table-7">Table 7</xref> shows the comparison results of semi-supervised learning and supervised learning. It can be seen from the table that the accuracy of the model obtained by using semi-supervised learning on the pilot&#x2019;s EEG dataset is higher than that of supervised learning. However, when we used the extra collected volunteer EEG data for testing, we found that semi-supervised learning performed better than supervised learning, and the accuracy rate increased from 78.49% to 82.33%.</p>
<table-wrap id="table-7">
<label>Table 7</label>
<caption>
<title>Comparison of semi-supervised learning and supervised learning</title>
</caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th style="background:#FFFFFF;">Train method</th>
<th style="background:#FFFFFF;">Accuracy on pilot&#x0027;s EEG dataset</th>
<th style="background:#FFFFFF;">Accuracy on new data</th>
</tr>
</thead>
<tbody>
<tr>
<td style="background:#FFFFFF;">Supervised learning</td>
<td style="background:#FFFFFF;">87.81%</td>
<td style="background:#FFFFFF;">78.49%</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Semi-supervised learning</td>
<td style="background:#FFFFFF;">86.29%</td>
<td style="background:#FFFFFF;">82.33%</td>
</tr>
</tbody>
</table>
</table-wrap>
<p><bold>Improved k-means:</bold> In order to fully verify the clustering effect of the algorithm in this paper, we conducted experiments on Iris dataset and Flame dataset. Meanwhile, we calculated accuracy, purity and normalized mutual information. The results are shown in <xref ref-type="table" rid="table-8">Table 8</xref>.</p>
<table-wrap id="table-8">
<label>Table 8</label>
<caption>
<title>Results on Flame and Iris</title>
</caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th style="background:#FFFFFF;">Dataset</th>
<th style="background:#FFFFFF;">Metrics</th>
<th style="background:#FFFFFF;">k-means</th>
<th style="background:#FFFFFF;">Ours</th>
</tr>
</thead>
<tbody>
<tr>
<td style="background:#FFFFFF;"></td>
<td style="background:#FFFFFF;">ACC</td>
<td style="background:#FFFFFF;">0.7985</td>
<td style="background:#FFFFFF;">0.8375</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Flame [<xref ref-type="bibr" rid="ref-58">58</xref>]</td>
<td style="background:#FFFFFF;">purity</td>
<td style="background:#FFFFFF;">0.8032</td>
<td style="background:#FFFFFF;">0.8315</td>
</tr>
<tr>
<td style="background:#FFFFFF;"></td>
<td style="background:#FFFFFF;">NMI</td>
<td style="background:#FFFFFF;">0.3989</td>
<td style="background:#FFFFFF;">0.3989</td>
</tr>
<tr>
<td style="background:#FFFFFF;"></td>
<td style="background:#FFFFFF;">ACC</td>
<td style="background:#FFFFFF;">0.7181</td>
<td style="background:#FFFFFF;">0.9000</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Iris [<xref ref-type="bibr" rid="ref-59">59</xref>]</td>
<td style="background:#FFFFFF;">purity</td>
<td style="background:#FFFFFF;">0.7201</td>
<td style="background:#FFFFFF;">0.9119</td>
</tr>
<tr>
<td style="background:#FFFFFF;"></td>
<td style="background:#FFFFFF;">NMI</td>
<td style="background:#FFFFFF;">0.7431</td>
<td style="background:#FFFFFF;">0.7661</td>
</tr>
</tbody>
</table>
</table-wrap>
<p><bold>Multi-parameter evaluation:</bold> Interval estimation at the 95% confidence level is used to estimate the values to be observed for each parameter, which is used to evaluate the use of parameters for redundancy.</p>
<p>For <inline-formula id="ieqn-139"><mml:math id="mml-ieqn-139"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>, A1 and A2 have partially overlapping parts in the interval (30.5243, 34.0085), while the interval for A3 does not overlap with either of A1 and A2, so that A1 can be distinguished from A3 and A2 from A3. To distinguish A1 from A2, <inline-formula id="ieqn-140"><mml:math id="mml-ieqn-140"><mml:msubsup><mml:mi>S</mml:mi><mml:mrow><mml:mi>&#x03B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> is added, and although the means do not overlap, the distribution of sample points shows that A2 has dissimilar values distributed over A1. In order to distinguish more precisely, we added <inline-formula id="ieqn-141"><mml:math id="mml-ieqn-141"><mml:mrow><mml:mi mathvariant="italic">S</mml:mi><mml:mi mathvariant="italic">a</mml:mi><mml:mi mathvariant="italic">m</mml:mi><mml:mi mathvariant="italic">p</mml:mi><mml:mi mathvariant="italic">E</mml:mi><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:math></inline-formula> as a supplement and achieved the same effect. The three parameters <inline-formula id="ieqn-142"><mml:math id="mml-ieqn-142"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>, <inline-formula id="ieqn-143"><mml:math id="mml-ieqn-143"><mml:msubsup><mml:mi>S</mml:mi><mml:mrow><mml:mi>&#x03B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> and <inline-formula id="ieqn-144"><mml:math id="mml-ieqn-144"><mml:mrow><mml:mi mathvariant="italic">S</mml:mi><mml:mi mathvariant="italic">a</mml:mi><mml:mi mathvariant="italic">m</mml:mi><mml:mi mathvariant="italic">p</mml:mi><mml:mi mathvariant="italic">E</mml:mi><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:math></inline-formula> were used to effectively differentiate the three degrees of attention. The specific values of the confidence intervals for each degree parameter are shown in <xref ref-type="table" rid="table-9">Table 9</xref>.</p>
<table-wrap id="table-9">
<label>Table 9</label>
<caption>
<title>Confidence intervals for each degree of attention parameter</title>
</caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th style="background:#FFFFFF;">Parameter name</th>
<th style="background:#FFFFFF;">A1</th>
<th style="background:#FFFFFF;">A2</th>
<th style="background:#FFFFFF;">A3</th>
</tr>
</thead>
<tbody>
<tr>
<td style="background:#FFFFFF;">Ratio of <inline-formula id="ieqn-145"><mml:math id="mml-ieqn-145"><mml:mi>&#x03B2;</mml:mi></mml:math></inline-formula> to <inline-formula id="ieqn-146"><mml:math id="mml-ieqn-146"><mml:mi>&#x03B8;</mml:mi></mml:math></inline-formula></td>
<td style="background:#FFFFFF;">(30.5243, 46,6782)</td>
<td style="background:#FFFFFF;">(22.8385, 34.0085)</td>
<td style="background:#FFFFFF;">(8.5732, 13.9349)</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Variance of <inline-formula id="ieqn-147"><mml:math id="mml-ieqn-147"><mml:mi>&#x03B1;</mml:mi></mml:math></inline-formula></td>
<td style="background:#FFFFFF;">(0.2491, 0.2508)</td>
<td style="background:#FFFFFF;">(0.4744, 0.4781)</td>
<td style="background:#FFFFFF;">(0.6413, 0.6483)</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Sample entropy</td>
<td style="background:#FFFFFF;">(0.1596, 0.1605)</td>
<td style="background:#FFFFFF;">(0.3273, 0.3303)</td>
<td style="background:#FFFFFF;">(0.7203, 0.7345)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>For the parameter <inline-formula id="ieqn-148"><mml:math id="mml-ieqn-148"><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x03B1;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B2;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B8;</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula>, none of the confidence intervals for F1, F2, and F3 overlap, but the distribution of sample points shows that some of the data for F2 are within the F1 interval. In other words, the parameter <inline-formula id="ieqn-149"><mml:math id="mml-ieqn-149"><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x03B1;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B2;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B8;</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> can distinguish F3 from F1 and F3 from F2, but cannot accurately distinguish F1 from F2. To remedy this deficiency and to satisfy the effect of distinguishing F3 from F1 and F2 at the same time, the parameter <inline-formula id="ieqn-150"><mml:math id="mml-ieqn-150"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> is added. The value of this parameter can distinguish F1 from F2 within the interval, and the corresponding distribution of sample points can also be effectively distinguished. This suggests that <inline-formula id="ieqn-151"><mml:math id="mml-ieqn-151"><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x03B1;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B2;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x03B8;</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula id="ieqn-152"><mml:math id="mml-ieqn-152"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> is present simultaneously, can discriminate between the three degrees of mental fatigue. The specific values of the confidence intervals for each degree parameter are shown in <xref ref-type="table" rid="table-10">Table 10</xref>.</p>
<table-wrap id="table-10">
<label>Table 10</label>
<caption>
<title>Confidence intervals for each degree of mental fatigue parameter</title>
</caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th style="background:#FFFFFF;">Parameter name</th>
<th style="background:#FFFFFF;">F1</th>
<th style="background:#FFFFFF;">F2</th>
<th style="background:#FFFFFF;">F3</th>
</tr>
</thead>
<tbody>
<tr>
<td style="background:#FFFFFF;">Ratio of average power</td>
<td style="background:#FFFFFF;">(3.4270, 3.6046)</td>
<td style="background:#FFFFFF;">(2.6427, 2.7794)</td>
<td style="background:#FFFFFF;">(1.08843, 1.1246)</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Relative energy of beta</td>
<td style="background:#FFFFFF;">(0.0210, 0.0211)</td>
<td style="background:#FFFFFF;">(0.0675, 0.0678)</td>
<td style="background:#FFFFFF;">(0.0874, 0.0877)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Similar to the Mental Fatigue, for the parameters <inline-formula id="ieqn-153"><mml:math id="mml-ieqn-153"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>, none of the confidence intervals for W1, W2 and W3 overlap, while some of the sample points for W1 and W2 are in the same interval. To solve this problem, we use <inline-formula id="ieqn-154"><mml:math id="mml-ieqn-154"><mml:mrow><mml:mi mathvariant="italic">S</mml:mi><mml:mi mathvariant="italic">a</mml:mi><mml:mi mathvariant="italic">m</mml:mi><mml:mi mathvariant="italic">p</mml:mi><mml:mi mathvariant="italic">E</mml:mi><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:math></inline-formula> again. Although W2 overlaps more with W3 in terms of the distribution of sample points, this parameter can distinguish W1 from W2 well. We exclude <inline-formula id="ieqn-155"><mml:math id="mml-ieqn-155"><mml:mrow><mml:mi mathvariant="italic">S</mml:mi><mml:mi mathvariant="italic">a</mml:mi><mml:mi mathvariant="italic">m</mml:mi><mml:mi mathvariant="italic">p</mml:mi><mml:mi mathvariant="italic">E</mml:mi><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:math></inline-formula> in distinguishing W2 from W3, retaining only <inline-formula id="ieqn-156"><mml:math id="mml-ieqn-156"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>. And when comparing W1 with W2 and W1 with W3, retaining both <inline-formula id="ieqn-157"><mml:math id="mml-ieqn-157"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub><mml:mo>.</mml:mo></mml:math></inline-formula> In this case,<inline-formula id="ieqn-158"><mml:math id="mml-ieqn-158"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B2;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>&#x03B8;</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula id="ieqn-159"><mml:math id="mml-ieqn-159"><mml:mrow><mml:mi mathvariant="italic">S</mml:mi><mml:mi mathvariant="italic">a</mml:mi><mml:mi mathvariant="italic">m</mml:mi><mml:mi mathvariant="italic">p</mml:mi><mml:mi mathvariant="italic">E</mml:mi><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:math></inline-formula> are able to distinguish between the three degrees of load. The specific values of the confidence intervals for each degree parameter are shown in <xref ref-type="table" rid="table-11">Table 11</xref>.</p>
<table-wrap id="table-11">
<label>Table 11</label>
<caption>
<title>Confidence intervals for each degree of load parameter</title>
</caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th style="background:#FFFFFF;">Parameter name</th>
<th style="background:#FFFFFF;">W1</th>
<th style="background:#FFFFFF;">W2</th>
<th style="background:#FFFFFF;">W3</th>
</tr>
</thead>
<tbody>
<tr>
<td style="background:#FFFFFF;">Ratio of theta to alpha</td>
<td style="background:#FFFFFF;">(9.7867, 12.8400)</td>
<td style="background:#FFFFFF;">(6.8942, 8.8471)</td>
<td style="background:#FFFFFF;">(4.9202, 5.6114)</td>
</tr>
<tr>
<td style="background:#FFFFFF;">Sample entropy</td>
<td style="background:#FFFFFF;">(0.3475, 0.3486)</td>
<td style="background:#FFFFFF;">(0.5477, 0.5515)</td>
<td style="background:#FFFFFF;">(0.5934, 0.5982)</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s5">
<label>5</label>
<title>Conclusions</title>
<p>In this research, we proposed a new method to solve the problem of pilot mental state classification and evaluation. In the classification stage, we proposed an attention mechanism-based classification network for pilot mental states.This network achieved an accuracy of 82.64% on the pilot&#x2019;s EEG dataset. The results are better than the classification methods proposed by other researchers. For the rigor of the experiment, we conducted further research on the proposed network on the SEED dataset. And the results show that the network has a good generalization, thanks to the introduction of the attention and semi-supervised learning usage. In the evaluation stage, we adopted a multi-parameter evaluation method. The study found that the three mental evaluation factors of fatigue, Load and Attention have positive and negative correlations with parameters such as sample entropy and specific wave energy ratio. Based on this, we proposed a pilot mental state scoring mechanism to quantify the mental state evaluation results, which provide a direct basis for judging the mental level of pilots.</p>
<p>In future work, we will deploy the proposed method on some mobile and edge computing devices, and further optimize the algorithm according to the operating conditions to achieve real-time analysis of the pilot&#x2019;s mental state.</p>
</sec>
</body>
<back>
<sec><title>Funding Statement:</title>
<p>This research is supported by program of Key Laboratory of Flight Technology and Flight Safety (FZ2020KF07), Ms. Zaijun Wang received the grant. This research is also supported by Postgraduate Innovation Project of CAFUC (X2021-37), Mr. Qianlei Wang received the grant.</p>
</sec>
<sec>
   <title>Conflicts of Interest:</title>
   <p>The authors declare that they have no conflicts of interest to report regarding the present study.</p>
</sec>
<ref-list content-type="authoryear">
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