Analysis of Psychological and Emotional Tendency Based on Brain Functional Imaging and Deep Learning

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Introduction
Emotion often involves people's immediate needs and subjective attitude and often has complex interaction with other psychological processes. It is a comprehensive state of thought, feeling, and behavior. As an important part of mental state, the measurement and identification of emotion have always been a problem that people want to solve. Emotion recognition generally refers to the qualitative or quantitative identification (evaluation) of a person's emotion by means of external observation and measurement. e premise of scientific identification of emotions is to have a scientific classification model for emotions [1][2][3][4][5]. Because emotion is often accompanied by high-level cognitive activities of the brain, involving a lot of subjective components, the objective and accurate evaluation of emotion has always been a difficult problem for researchers.
In recent years, with the continuous progress of modern neuroscience technology, a series of important achievements have been made in brain cognitive neuroscience by means of Electroencephalography (EEG), functional magnetic resonance imaging (fMRI), and functional near infrared spectrum instrument (fNIRS) [6,7].
is makes new breakthroughs in the research of cognitive problems such as perception, attention, memory, planning, language, and consciousness at the level of brain nerve. e continuous development of cognitive neuroscience and brain activity measurement technology has gradually established a bridge between the subjective world and the objective world. Mankind is gradually entering the real brain reading era. In these means, EEG is to collect the spontaneous and rhythmic electrical activity signals of brain cell groups through electrodes, so as to reflect the relevant functional activities of the brain. is kind of electrical signal is always accompanied by life and reflects people's many psychological activities and cognitive behaviors. In addition to the characteristics that cannot be disguised, EEG has the advantages of real-time difference and portability.
erefore, more and more scholars and institutions use EEG as a research tool for emotion recognition.
How to determine the EEG patterns of various emotional states through these EEG characteristics and how to classify untrained samples through corresponding EEG patterns are the tasks to be completed in the learning and classification of emotional patterns. Choosing a good classifier can play an important role in the interpretation and analysis of EEG patterns in different emotional states. EEG based emotion pattern recognition methods can be divided into unsupervised learning methods and supervised learning methods [8,9]: (1) unsupervised learning methods include fuzzy clustering, k-nearest neighbor, and so on. ey all classify samples automatically based on the Euclidean distance between samples; (2) different from unsupervised learning, when training the classifier, the supervised learning method knows or manually labels the category label of the sample and gradually modifies the classifier through the category information of the sample. en, the trained classifier is used in the test sample set for testing. e commonly used supervised learning methods mainly include support vector machine (SVM), linear discriminant analysis (LDA), Gaussian naive Bayes (GNB), deep learning, etc. Among them, the better effect is deep learning.
At present, deep learning methods are developing very rapidly. Among them, convolution neural network (CNN) has been proved to have great development prospects in the field of computer vision and is widely used in image classification, target detection, and image segmentation [10][11][12][13][14]. CNN contains multiple hidden layers. Input information can be learned layer by layer to obtain high-level, abstract, and discriminative features at the high level of the network. High-level features can be used for classification to obtain good classification effect. Compared with the artificially designed feature extraction method, CNN method may be more suitable for emotion-related EEG terrain image classification.

Literature Review
After preprocessing and obtaining relatively pure EEG signals, it is also necessary to extract the features of EEG signals. In emotion recognition based on EEG, feature extraction is a very important link. Only by truly extracting emotion related features can we provide guarantee for the accuracy of final emotion recognition [15][16][17]. Mitsukura [18] designed band-pass filtering according to five common frequency bands to filter the original EEG, so as to calculate the frequency band energy corresponding to the five frequency bands as the EEG feature for emotion recognition. Bai et al. [19] used Fourier transform to calculate the power spectral density of the original EEG signal of each electrode in theta, alpha, and beta frequency bands as the EEG feature of emotion recognition. Masruroh et al. [20] used the method of nonlinear dynamics to extract the features from EEG signals and used the dimensional complexity to distinguish the two different states of rest and reflection. Wankhade and Doye [21] proposed the method of deep learning combined with wavelet decomposition to extract and recognize EEG frequency domain features, and the accuracy of emotion recognition and classification has been significantly improved. e extraction and selection of EEG features can provide a reliable source of information for the classifier, which is the key to affect the accuracy of emotion recognition. However, the above EEG-based emotion recognition methods still cannot meet the requirements in terms of stability, accuracy, and practicability. In addition, in order to improve the stability and accuracy of emotion recognition based on EEG, it is very important to select the appropriate classifier and make appropriate improvement, but there is still less research in this area.
CNN is a deep learning network model inspired by animal vision system. Its network composition imitates the principles of various cells in the vision system to build the network model [22][23][24]. CNN was originally designed for feature extraction of two-dimensional data. It can directly establish the mapping relationship from low-level features to high-level semantic features and has achieved remarkable results in the field of two-dimensional image classification. Zhao et al. [25] proposed a driver fatigue state recognition based on three-dimensional convolution network. A large number of theories and experiments show that 3D-CNN can extract features from the spatial information dimension and additional dimensions of the image at the same time, so as to improve the classification performance of the network. Cai et al. [26] proposed a video classification method based on three-dimensional (3D) convolution neural network (CNN), which uses convolution filter and global average pool layer to obtain more detailed features.
is paper presents a method of psychological emotion classification based on brain functional imaging and deep learning. Firstly, aiming at the selection of emotion related channels in EEG, fMRI is introduced for auxiliary analysis, and then an emotion-related EEG channel selection method based on EEG forward model is proposed, which can use the brain activation information obtained by fMRI to assist EEG channel selection. en, aiming at the problem that the insufficient number of samples will lead to the overfitting phenomenon of the network, this paper combines data enhancement (Mixup) with 3D-CNN classification and proposes an emotion-related EEG topographic map classification method based on M-3DCNN. Finally, the effectiveness of the proposed method is verified by experimental data analysis.

fMRI-Assisted Emotion-Related EEG Topographic Map.
As two main neuroimaging tools for noninvasive brain function research, EEG and fMRI have been highly concerned and widely used in clinical diagnosis and academic research because of their advantages of high temporal resolution and high spatial resolution, respectively. At present, the fusion of EEG and fMRI has become a frontier hotspot.
As an important technology in the field of neuroimaging, fMRI has the characteristics of high spatial resolution, which can make up for the lack of spatial information obtained by EEG to a certain extent. e statistical analysis methods of fMRI signals mainly include two brain activation analysis methods: correlation coefficient estimation and general linear model (GLM) parameter estimation. e former can only calculate the correlation between voxel time series and single task reference series and cannot be used in complex experimental design. e GLM parameter estimation method can estimate the influence coefficient of multiple task reference sequences on voxel time series at the same time and then carry out the comparative analysis of multiple tasks. e former can be regarded as a special case of the latter. e basic principle of GLM can be described by the following formula [27,28]: where y is a time series of voxel response values. X is the design matrix, each column of which represents an explanatory variable, with a total of k explanatory variables. It is usually obtained by convolution of experimental design parameters and hemodynamic response function and generally adds linear drift and constant bias term. β is the parameter to be estimated, corresponding to the coefficients of k explanatory variables. ε is the error term, which is usually expressed with Gaussian white noise. e goal of GLM is to find the optimal set of values to minimize the sum of squares of errors.
On the basis of GLM, the robust GLM based on iterative reweighted least squares (IRLS) is more effective for small samples and large regression. e fMRI data processing software SPM8 (https://www.fil.ion.ucl.ac.uk/spm/software/ spm8/) used in this paper uses this method.
EEG forward model is derived from the solution of EEG forward problem, which means to calculate the scalp surface potential distribution when the source distribution and head model are known. Mathematically, the forward problem of EEG can be described by Poisson formula: where σ is the conductivity. I s is the volume current density generated by the current source in the brain. Φ represents the potential generated by the brain current source on the head surface. In this paper, the open source software (https:// fieldtrip.fcdonders.nl/download.php) is used to build the EEG forward model. e main idea of the proposed method can be described by the following formula: where L is the transfer matrix from the cortex to the head table, n is the number of electrodes, d is the number of grids on the cortex, a is the activation degree vector at the cerebral cortex grid, and E is the correlation degree between each electrode and emotion.
Firstly, the activation of emotion related brain regions obtained from fMRI emotion experimental data is used, and then the transfer matrix is obtained through the EEG forward model constructed by brain standard structure image, so as to obtain the EEG topographic map reflecting the degree of emotion related, which provides guidance for channel selection in EEG emotion recognition. e specific process of generating emotion-related EEG topographic map is shown in Figure 1, which is mainly divided into three parts: (1) e activation of emotion-related brain regions was obtained from fMRI emotion experiment data. (2) A standard head model is established through the brain standard structure image, and the data image of each individual is registered to the standard brain through the standardized steps of SPM software. By using the boundary element method (BEM) and inputting the obtained three-layer head model into the fieldtrip software, the transfer matrix L from the cortical grid to the head table can be obtained. (3) e correlation between each channel and emotion was calculated by EEG forward model.

Mixup Method.
In the classification task, the network usually adopts empirical risk minimization to optimize the model. However, the principle of empirical risk minimization is to memorize data rather than generalizing data during training. If the samples in the test set do not appear in the training set, it may lead to classification errors in the test set. In addition, according to the law of large numbers, when the number of samples tends to infinity, the empirical risk will tend to the expected risk. However, the emotion-related EEG topographic map has the characteristics of small sample size. erefore, if this method is used to optimize the network in the emotion-related EEG topographic map classification task, the model may not be fully trained.
In order to solve the problem that the depth network is prone to overfitting due to insufficient training of the model, researchers proposed the Mixup method [29,30] to alleviate this problem. e calculation method of Mixup method is as follows: where (x, y) represents the virtual data mixed by the Mixup method, (x i , y i ) and (x j , y j ) are two samples randomly selected from the training set, and λ is the weight.
Using the Mixup method, the network can be trained by using the linear convex combination of the same or different types of samples and their labels, which can regularize the network. erefore, this paper mixes up the pixels of emotion-related EEG topographic map to obtain the virtual data, randomly select a pair of data in the data set, mix the samples and labels according to the weight, and train the network with the virtual data generated by Mixup method and the original data.
Discrete Dynamics in Nature and Society

Principle of 3D-CNN.
A complete CNN is usually composed of input layer, convolution layer (Conv), pooling layer, and fully connected (FC) and output layer. Its core structure is the hidden layer composed of convolution layer and pooling layer. A complete convolution divine network structure is shown in Figure 2.
CNN was originally designed for feature extraction of two-dimensional data. It can directly establish the mapping relationship from low-level features to high-level semantic features and has achieved remarkable results in the field of two-dimensional image classification. However, the information extracted in sliding calculation on two-dimensional plane is insufficient. A large number of theories and experiments show that 3D-CNN can extract features from the spatial information dimension and additional information dimension of the image at the same time, so as to improve the classification performance of the network.
In 2D-CNN in the j-th characteristic map of the l-th convolution layer, the neurons v xy lj at (x, y) can be calculated by the following formula: where H j and W j , respectively, represent the length and width of the two-dimensional convolution kernel, m represents the number of characteristic graphs of l − 1 layer, k hw ljm is the convolution kernel connected to the m-th characteristic graph of layer l − 1, b lj is the offset, and f represents the activation function.
In 3D-CNN in the j-th characteristic map of the l-th convolution layer, the neurons v xyz lj at (x, y, z) can be calculated by the following formula: where R l represents the height of three-dimensional convolution kernel and k hwr bjm is the convolution kernel connected to the m-th characteristic graph of l − 1 layer.

Emotion Classification Method Based on M-3DCNN.
is paper combines data enhancement (Mixup) with 3D-CNN classification and proposes an emotion-related EEG topographic map classification method based on M-3DCNN. e M-3DCNN network uses the Mixup method for data enhancement. e data obtained by the Mixup method and the original data are sent to the constructed 3D-CNN network for feature extraction and classification. In order to reduce the loss of spatial resolution, M-3DCNN network uses step volume instead of pooling operation. e network structure is shown in Figure 3, and the network parameters are shown in Table 1.
Batch normalization (BN) is used in network construction. BN layer is also a widely used deep neural network training technology. rough batch normalization operation, the input of each layer of neural network in the training process is kept with the same distribution, so as to improve the training speed of the network, accelerate the convergence process, and alleviate the problem of gradient explosion. e pseudocode of M-3DCNN is shown in Table 2.

Experimental Data Set and Platform.
All fMRI and EEG experimental data were obtained by functional magnetic resonance imaging technology (Siemens 3.0T scanner). Specific scanning parameters are shown in Table 3.

Classification Effect Evaluation
Criteria. e overall classification accuracy (OA) and average classification accuracy (AA) are used to evaluate the classification performance of the model.
(1) Overall classification accuracy (OA) represents the ratio of the number of correctly classified categories in the test set to the total number of sample categories in the test set, and the expression is shown in the following formula: where N represents the total number of categories of samples in the test set, n represents the number of categories of test samples, and p i represents that the samples actually belonging to category i are correctly classified into category i. (2) Average classification accuracy (AA) represents the average value of the ratio of the number of correctly classified categories in each category in the test set to the total number of test samples of this category, and its calculation method is shown in the following formula: where OA i represents the overall classification accuracy of category i samples in the test set.

Emotion-Related EEG Topographic Map.
For three subjects, the emotion-related activated brain areas were extracted, respectively, the activation degree vector of cortical grid was calculated and mapped to the EEG topographic map through the forward model, and the results are shown in Figure 4. As can be seen in Figure 4, the distribution of electrodes with a higher degree of emotion correlation is mostly concentrated in the frontal and occipital lobes. On the other hand, we can find that there is also a large intersubject variability in different brain regions of emotion activation, which is also reflected in the derived EEG emotion related topographic maps.

Network Parameter Selection.
Two metrics: overall classification accuracy (OA) and average classification accuracy (AA), were used to evaluate the experimental results in this section. In the network parameter selection experiment, 10% of the samples were randomly selected as training samples, and the remaining samples were used for testing samples.

Determination of the Number of Convolution Kernels.
e number of convolution kernels is one of the important factors affecting the classification accuracy of M-3DCNN network. e number k of convolution kernels selected in the first layer is 8, 16, 32, and 64, respectively. e initial learning rate is set to 0.003, the minimum number of batches is set to 100, and the number of rounds of network training is 300.
e experimental results are shown in Figure 5. All results are the average of 10 repeated experiments.
As can be seen from Figure 5, the classification accuracy of emotion related topographic map will not continue to increase with the increase of the number of convolution cores, and the classification accuracy will reach saturation at a certain number of convolution cores. After the classification accuracy reaches saturation, increasing the number of convolution cores may lead to the degradation of the network, resulting in the decline of classification accuracy. erefore, the optimal number of convolution kernels is 32.

Determination of Space
Size. If the selected sample space size is too small, the classification accuracy may be reduced due to incomplete information. In this paper, by comparing 3 × 3, 5 × 5, 7 × 7, 9 × 9, 11 × 11, and 13 × 13 to select the best space size, the initial learning rate is set to 0.003, the minimum number of batches is set to 100, and the number of rounds of network training is 300. e experimental results are shown in Figure 6. All results are the average value of repeated experiments for 10 times. From Figure 6, it can be seen that the M-3DCNN does not continue to increase after reaching the optimal classification accuracy at the 11 × 11 spatial size, because the larger the spatial size of the input image, the longer the running time. With the combined classification accuracy and running time, the M-3DCNN chooses to input the 11 × 11 spatial size of the mood-related topographic map.

Comparative Analysis of Emotional Recognition.
To validate the validity of the proposed M-3DCNN for emotional-related topographic map classification, five emotional categories (strong positive, weak positive, neutral, weak negative, and strong negative) were classified using M-3DCNN and other deep learning methods. e M-3DCNN network sets the convolution kernel number and Discrete Dynamics in Nature and Society spatial size as the optimal parameters. e weight of the Mixup method is set to 0.5. All results are the average of 10 repeated experiments. e comparison of classification results of different methods is shown in Table 4.
It can be seen from Table 4 that M-3DCNN method has better classification effect than other deep learning methods. e OA and AA of emotion related topographic map classification method based on m-M-3DCNN are 5.87% and 4.73% higher than SVM, respectively; 5.82% and 3.62% higher than 1D-CNN; 4.93% and 5.52% higher than 2 D-CNN; and 0.99% and 0.51% higher than 3D-CNN.

Conclusions
is paper presents a method for recognizing psychological emotional tendency based on brain functional imaging and M-3DCNN. Based on the emotion-related EEG topographic map based on fMRI, the proposed method combines the Mixup method with 3D-CNN to alleviate the problem of     Data Availability e experimental data used to support the findings of this study are available from the corresponding author upon request.