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  1. ( Department of Marxism, Cangzhou Normal University, Cangzhou, Hebei 061001, China p548673@163.com)
  2. ( College of Education, Handan University, Handan, Hebei 056005, China pohan34049964408@yeah.net)
  3. ( Department of Mathematics and Statistics, Cangzhou Normal University, Cangzhou, Hebei 061001, China liuquanzhi2023@163.com)



Big data, College student, Mental health, Predictive model

1. Introduction

Young college students often struggle to cope with negative emotions because of the abrupt changes in their environment and the increasing pressures from various sources [1]. Issues such as anxiety and depression have become increasingly prevalent among this group [2], alongside common problems like eating disorders and sleep disturbances [3]. Untreated mental health issues can escalate to self-harm, suicide, and other irreversible consequences [4]. With the advances in big data technology, making accurate predictions regarding the mental health of college students would be beneficial for schools to monitor changes in their well-being and strengthen student management. Currently, there are several methods to predict anxiety, depression, and other mood disorders [5]. Tan et al. [6] introduced an objective data annotation method and developed a long short-term memory (LSTM) model to detect anxiety states that outperform traditional algorithms. Akbari et al. [7] extracted features from electroencephalogram signals and employed a support vector machine and K-nearest neighbor (KNN) classifier to distinguish normal and depressed signals. They reported that the classifier achieved an accuracy of 98.79% and could be utilized for early depression diagnosis. Sardari et al. [8] combined a convolutional neural network and self-encoder to learn the features from audio sources for depression detection, increasing the F value by at least 7%. Fauziah et al. [9] used the random forest and XGBoost to extract features from the YouTube comment text for anxiety recognition, with both methods achieving 83% and 73% accuracy, respectively. Based on big data technology, this paper provides a fresh perspective on the mental health status of college students. This study collected data through a questionnaire survey and designed an improved seagull optimization algorithm-back-propagation neural network (ISOA-BPNN) prediction model to predict the mental health of college students. Experimental analysis demonstrated the effectiveness of this method for predicting mental health, providing a reliable approach for managing student emotions in universities. This method is beneficial for better understanding the changes in the mental health conditions of college students, enabling early detection, intervention, and assistance for students who may face psychological issues. The method offers scientific decision-making support for learning and helps schools improve the effectiveness of their mental health services. Ultimately, it holds significant social value.

2. Big Data Analysis of College Students’ Mental Health

2.1 Factors Affecting the Mental Health of University Students

As integral members of society, college students face pressures from diverse sources, including society, academia, and family. Being highly educated individuals, college students are subject to elevated external expectations and impose higher standards on themselves, resulting in more frequent experiences of negative emotions and an increased likelihood of encountering mental health issues. Based on real-life interviews and a comprehensive literature review, this paper identified pressure sources as the central factors influencing the mental well-being of college students and designed a questionnaire involving their psychological pressure sources.

A questionnaire was developed based on the above ten questions. The subjects quantified the impact of these ten pressure sources on their mental health status according to their situation, and a five-point Likert scale was used.

2.2 SCL-90

The Symptom Checklist 90 (SCL-90) is a widely employed instrument for assessing mental health status [10]. It boasts well-established reliability and validity. It can be applied to different age groups and cultural populations, demonstrating good generalizability and flexibility. The SCL-90 covers the assessment of multiple domains of psychological symptoms and possesses a certain level of objectivity. Therefore, it was used to evaluate the mental health status of college students. This scale comprised 90 items, each rated on a five-point scale. The score ranging from 1 to 5 represents the impact of the item on oneself (from small to large). This rating scale is illustrated in Table 2.

Table 1. Analysis of Influencing Factors of College Students’ Mental Health.

Pressure source classification

Pressure source division

Questionnaire format

Employment pressure source

X1: Employment pressure from society

Under intensified social competition, the imbalance between the supply and demand of talents, and the declining employment advantage of college students, what pressure do you feel?

X2: Employment pressure from school

Under the school's course arrangement on employment policy analysis and career planning, what pressure do you feel?

X3: Employment pressure from self

Among individual employment skills, such as theoretical knowledge, research abilities, and innovative spirit, what pressure do you feel?

Academic pressure source

X4: Academic pressure from school

In the course of your study, do you feel that the school's training objectives and curriculum are unreasonable and the teaching methods are too single? What pressure do you feel?

X5: Academic pressure from self

In the process of study, do you feel overburdened? Do you feel overwhelmed by the demands of certificate examination, postgraduate examination, level examination, and thesis writing? What pressure do you feel?

Economic pressure source

X6: Economic pressure from school

What economic pressures do the school's tuition and other expenses bring?

X7: Economic pressure from self

During the school year, faced with spending due to study, living, entertainment, etc., what pressures do you feel?

Interpersonal pressure source

X8: Pressure from teacher-student relationship

What pressure do you experience when communicating and interacting with teachers?

X9: Pressure from classmate relationship

What pressure does interacting with classmates bring to you?

X10: Pressure from love relationships

What do you feel when faced with romantic relationships, mate selection, and marriage?

Table 2. Correspondence between Factors and Question Numbers in SCL-90 [11].

Factor

Corresponding question number

Somatization

41, 4, 12, 27, 40, 42, 48, 49, 52, 53, 56, 58

Anxiety

2, 17, 23, 33, 39, 57, 72, 78, 80, 86

Mental disorder

7, 16, 35, 62, 77, 84, 85, 87, 88, 90

Interpersonal sensitivity

6, 21, 34, 36, 67, 41, 61, 69, 73

Hostility

11, 24, 63, 67, 74, 81

Fear

13, 25, 47, 50, 70, 75, 82

Compulsion

3, 9, 10, 28, 35, 45, 46, 51, 55, 65

Depression

5, 14, 15, 20, 22, 62, 29, 30, 31, 32, 54, 71, 79

Paranoia

8, 8, 43, 68, 76, 83

2.3 Data Analysis

An online questionnaire was disseminated to students from universities in Hebei Province. The participants were requested to complete the psychological pressure source questionnaire and the SCL-90. In total, 21,354 valid questionnaires were collected, and Table 3 lists some of the preliminary results.

Table 3. Sample Data.

Sample number

Results of the psychological pressure source survey

Total score

X1

X2

X3

X4

X5

X6

X7

X8

X9

X10

1

1

2

1

2

1

1

1

1

1

1

120

2

2

2

3

3

4

2

3

4

2

2

156

3

1

1

1

1

1

1

1

1

1

1

102

4

3

4

3

3

4

3

4

4

3

4

251

5

2

3

4

2

2

3

4

2

4

3

178

......

21354

1

1

1

2

1

1

1

2

1

2

138

The mental health of college students was analyzed based on the SCL-90 results. Fig. 1 presents the volume of data with an average score above two points for each factor.

Fig. 1. Volume of data with an average score above two points for each factor.
../../Resources/ieie/IEIESPC.2024.13.4.393/fig1.png

The most obvious psychological health problem among college students was compulsions (Fig. 1), with 4,726 data, accounting for 22.13% of the total sample. Interpersonal sensitivity was the second most common issue, with 3,561 data, accounting for 16.68% of the total sample. Hence, college students have a high likelihood of experiencing symptoms of compulsions and face difficulties in handling interpersonal relationships. Moreover, depression and anxiety were also common among these college students, with proportions of 10.65% and 10.46%, respectively.

The total score of the SCL-90 scale was then analyzed. In general, a score exceeding 160 points indicates the presence of certain psychological health issues, while a score exceeding 200 points suggests the presence of significant psychological health problems. A score surpassing 250 points signifies severe psychological health issues. Fig. 2 presents the distribution of the total scores.

Fig. 2. Distribution of the total scores.
../../Resources/ieie/IEIESPC.2024.13.4.393/fig2.png

Of the 21,354 samples, 18,152 data, i.e., 85% of the total sample, exhibited SCL-90 scores below 160 points (Fig. 2). This group of college students is less likely to face mental health problems. Next, 2,031 data, accounting for 9.51% of the total sample, fell within the total score range of 160 points to 200 points, indicating that these students may experience some mental health challenges that could benefit from psychological counseling. There were 1,027 data, accounting for 4.81% of the total sample, with total scores ranging from 200 points to 250 points. This group of college students appeared to exhibit more pronounced mental health problems, requiring the attention and intervention of both the school and parents. In contrast, 144 data, comprising 0.67% of the total sample, displayed total scores exceeding 250 points. These college students face serious mental health issues, and the school and parents must intervene promptly.

Combining Figs. 1 and 2, the data with a total score exceeding 160 points or an average score above two points on any factor were categorized as ``abnormal,'' while the remaining data were labeled as ``normal.'' This classification yielded 4,937 abnormal mental health data, accounting for 23.12% of the total sample, and 16,417 normal data, accounting for 76.88%.

A significant imbalance existed in these samples, which could pose challenges for subsequent prediction modeling. The synthetic minority over-sampling technique (SMOTE) was used to enhance predictive accuracy [12] and rectify the imbalance. As a result, the dataset was transformed to include 6,234 abnormal mental health data and 6,234 normal mental health data, achieving a balanced positive-to-negative sample ratio of 1:1.

3. Prediction Model based on BPNN

Building on the analysis in the preceding section, this paper used the scores associated with the ten pressure sources outlined in Table 1 to predict the mental health status of college students. The predicted outcomes were categorized as ``abnormal'' or ``normal.'' Given the intricate nonlinear relationships between various pressure sources and mental health status, this study selected the artificial neural network (ANN) method, demonstrating exceptional computational capabilities and excelling in handling nonlinear problems [13].

The BPNN algorithm is used widely among ANN algorithms [14], which reduces errors through backward error propagation and has excellent self-learning capability. Table 4 lists the parameters involved in the BPNN algorithm.

Table 4. BPNN Parameters and Definitions.

Parameter

Definition

$x_n$

An input to the input layer

$h_i$

An input to the hidden layer

$h_o$

An output of the hidden layer

$y_i$

An input to the output layer

$y_o$

An output of the output layer

$w_{ih}$

Connection weight of input and hidden layers

$w_{ho}$

Connection weight of the hidden layer and the output layer

$b_h$

A threshold of the hidden layer

$b_o$

A threshold of the output layer

$d_o$

Desired output

The prediction process of the BPNN algorithm can be described as follows:

(1) Network parameters are initialized.

(2) The output of the hidden layer is calculated:

(1)
$h_{o}=f\left(\sum _{i=1}^{n}w_{ih}x_{i}+b_{h}\right)$.

(3) The output of the output layer is calculated:

(2)
$y_{o}=\sum _{h=1}^{p}w_{ho}h_{o}+b_{o}$.

(4) The error between the BPNN output and the desired output is calculated:

(3)
$e=d_{o}-y_{o}$.

(5) The weights and thresholds are constantly updated to determine if the error satisfies the specific requirements. If not, return to step (2); if yes, the training ends.

The seagull optimization algorithm (SOA) was used to improve the BPNN algorithm and avoid the defect that the BPNN easily falls into a local optimum. The principle of SOA is to find the optimal solution by studying the migratory patterns and attacking the behaviors exhibited by seagulls [15]. When the seagull population migrates, to avoid collision with neighboring seagulls, it first needs to find a new position that does not conflict with other seagulls, which can be written as

(4)
$C_{S}\left(t\right)=f_{c}\times H_{S}\left(t\right)$,

where $t$ represents the iteration count; $C_{S}\left(t\right)$ is the new position where the individual has no conflict with other gulls; $H_{S}\left(t\right)$ represents the position before migration; $f_{c}$ is a factor used to adjust the position of the gulls to avoid collision.

(5)
$ f_{c}=2-\frac{2t}{t_{max}} $

where $t_{max}$ is the maximum number of iterations.

After collision avoidance, each gull approaches the optimal gull, which can be expressed as

(6)
$M_{s}\left(t\right)=f_{b}\times \left[H_{sbest}\left(t\right)-H_{S}\left(t\right)\right]$,

where $M_{s}\left(t\right)$ is the direction of the optimal gull; $H_{sbest}\left(t\right)$ is the position of the optimal gull; $f_{b}$ is a search equilibrium factor to adjust the flight distance of the gulls:

(7)
$f_{b}=2\times f_{c}^{2}\times r_{d}$,

where $r_{d}$ is a random number in the range of [0,1] that obeys a uniform distribution.

The distance between the individual and the optimal seagull can be written as follows:

(8)
$D_{s}\left(t\right)=\left| C_{S}\left(t\right)+M_{s}\left(t\right)\right| $.

After finding a food source through migration, the gulls approach their prey and attack using a spiral motion, which can be expressed as

(9)
$\left\{\begin{array}{l} x=r\times \cos \theta \\ y=r\times \sin \theta \\ z=r\times \theta \end{array}\right.$,

where $\theta $ is a random number obeying a uniform distribution in the range [0,2${\pi}$], and $r$ is the radius of the seagull spiral flight.

(10)
$r=u\times e^{\theta v}$,

where $u$ and $v$ are spiral coefficients, generally taken as 1.

Finally, the seagull’s attack position can be expressed as

(11)
$H_{S}\left(t+1\right)=D_{s}\left(t\right)\times x\times y\times z+H_{sbest}\left(t\right)$.

The seagull position is continuously updated until the maximum number of iterations is reached. The optimal result is output.

To solve the problem that SOA is sensitive to the output population, this paper introduced Logistics chaotic mapping to initialize the sink population:

(12)
$x_{n+1}=x_{n}\times \mu \times \left(1-x_{n}\right),\mu \in \left[0,4\right],x\in \left[0,1\right]$.

The levy flight strategy [16] is then used to replace the spiral motion in the SOA and improve the algorithm’s searching ability of the algorithm. $levy\left(\beta \right)$ the relative distance produced by the seagulls after levy flight:

(13)
$levy\left(\beta \right)=\frac{g}{\left| v\right| ^{\frac{1}{\beta }}}$,
(14)
$g\sim N\left(0,\sigma _{g}^{2}\right),v\sim N\left(0,1\right)$,
(15)
$\sigma _{g}=\left[\frac{\Gamma \left(1+\beta \right)\times \sin \left(\frac{\pi \times \beta }{2}\right)}{\Gamma \left(\frac{1+\beta }{2}\right)\times \beta \times 2^{\frac{\beta -1}{2}}}\right]^{\frac{1}{\beta }}$,

where $\Gamma $ is the Gamma function. The attack position of the seagull after the levy flight update can be written as

(16)
$H_{S}\left(t+1\right)=D_{s}\left(t\right)\times levy\left(\beta \right)+H_{sbest}\left(t\right)$.

The ISOA algorithm was used to optimize the BPNN parameters and obtain the ISOA-BPNN algorithm, which was used to predict college students’ mental health. The specific procedures are as follows.

(1) The BPNN structure was set, and the number of nodes at each layer was determined.

(2) The ISOA algorithm optimized the BPNN parameters to obtain the optimal initial weights and thresholds.

(3) The BPNN algorithm was trained using optimized parameters.

(4) Prediction of the mental health of college students was implemented using the trained BPNN algorithm.

4. Results and Analysis

The tests were conducted on a computer running the Windows 10 operating system, equipped with an Intel(R) Core(TM)i5-8400CPU@2.80GHz and 8 GB of random access memory (RAM). The algorithms were simulated on MATLAB2020a software. The population size of SOA was 30, and the iteration count was 500. $f_{c}=2$. In BPNN, the number of input layer nodes was 12, and the number of output layer nodes was 1. The determination of the number of hidden layer nodes was based on an empirical formula:

(17)
$m=\sqrt{n+l}+a$,

where $n$ and $l$ are the number of nodes in the input and output layers, and $a$ is a constant in [1,10]. The value of $m$ was 4–13. The data were substituted into the BPNN algorithm for training 100 times. The mean square error (MSE) was averaged, as shown in Table 5.

Table 5. Number of Hidden Layer Nodes and Average MSE.

Number of nodes in the hidden layer

Average MSE

4

2.125

5

2.036

6

1.985

7

1.957

8

1.865

9

1.811

10

1.792

11

1.732

12

1.925

13

2.133

The average MSE was minimized at 1.732 when the number of nodes in the hidden layer was 11 (Table 5). Therefore, the final BPNN structure was 12-11-1.

Table 6. Confusion Matrix.

Predicted value

0

1

Actual value

0

TP

FN

1

FP

TN

The prediction effect was evaluated based on the confusion matrix (Table 6), with 0 indicating normal mental health status and 1 indicating an abnormal mental health status. If the total score of SCL-90 exceeds 160 or the average score of any factor exceeds 2, there may be psychological problems, such as anxiety and depression, which require further attention and examination. Table 6 lists the evaluation indicators.

(1) Accuracy: $Accuracy=\frac{TP+TN}{TP+FP+FN+TN}$

(2) Precision: $Precision=\frac{TP}{TP+FP}$

(3) Recall rate: $Recall=\frac{TP}{TP+FN}$

(4) F1 value: the balance between precision and recall rate:$F1=\frac{2\times Precision\times Recall}{Precision+Recall}$

(5) AUC: the area under the receiver operator characteristic (ROC) curve, which is approximately close to 1, indicating better predictive performance.

First, the search capability of the ISOA algorithm designed in this paper was verified by testing it on five benchmark functions (Table 7). Moreover, it was compared with other optimization algorithms, including:

(1) particle swarm optimization (PSO) algorithm [17],

(2) artificial bee colony (ABC) algorithm [18],

(3) sparrow search algorithm (SSA) [19].

The results are listed in Table 7.

Table 7. Benchmark Functions.

Function name

Domain of definition

Theoretical optimal value

F1

Sphere

[−100,100]

0

F2

Schwefel'problem 2.22

[−10,10]

0

F3

Schwefel'problem 2.21

[−100,100]

0

F4

Generalized Rosenbrock's Function

[−30,30]

0

F5

Step Function

[−100,100]

0

The size of the population of all the algorithms was set as 30, and the number of iterations was set as 500. They ran 30 times, with the average taken. Table 8 lists the results.

Table 8. Comparative Results of the Benchmark Functions.

F1

F2

F3

F4

F5

PSO

9.74E+00

2.64E+01

7.43E+01

2.98E+06

6.50E03

ABC

6.81E-18

6.00E-12

6.37E-02

2.89E+01

4.21E-02

SSA

6.73E-01

2.83E-05

2.55E-01

2.87E+01

3.98E+00

SOA

2.26E-01

2.43E+01

1.76E+01

2.45E+04

3.94E-01

ISOA

5.67E-30

1.03E-17

1.81E-07

2.56E+01

2.12E-03

The bold values in Table 8 represent the optimal values. The ISOA was more capable of achieving the optimal solution among the five test functions, suggesting that the ISOA had a stronger optimization ability and better precision in problem-solving than the PSO, ABC, and other methods. The impact of the ISOA on improving the BPNN prediction performance was evaluated, as shown in Table 9.

Table 9. Improvement of the BPNN Algorithm Accuracy using Different Optimization Algorithms.

Accuracy

BPNN

0.8434

PSO-BPNN

0.8872 (+0.0438)

ABC-BPNN

0.8998 (+0.0564)

SSA-BPNN

0.9233 (+0.0799)

SOA-BPNN

0.9545 (+0.1111)

ISOA-BPNN

0.9762 (+0.1328)

The accuracy obtained was 0.8434 when the original BPNN algorithm was used to predict the mental health status of college students. After optimizing the BPNN parameters with the optimization algorithm, several algorithms showed varying degrees of improvement in their predictive performance compared to the BPNN algorithm. The PSO-BPNN algorithm achieved an accuracy of 0.8872, indicating 0.0438, 0.0564, and 0.0799 increases compared to the BPNN algorithm, ABC-BPNN algorithm, and SSA-BPNN algorithm, respectively. The accuracy of the SOA-BPNN algorithm was 0.9545, showing a 0.1111 increase compared to the BPNN algorithm. This result suggests the advantage of SOA in optimizing the parameters of the BPNN algorithm. The ISOA-BPNN algorithm designed in this paper demonstrated an accuracy of 0.9762, which was 0.1328 and 0.0217 higher than the BPNN and SOA-BPNN algorithms, respectively. This result verified the reliability of the improvement of SOA. Table 10 compares the F1 values and AUCs.

Table 10. Improvement of BPNN in terms of the F1 Value and AUC by Different Optimization Algorithms.

F1 value

AUC

BPNN

0.8991

0.9328

PSO-BPNN

0.9322 (+0.0331)

0.9633 (+0.0305)

ABC-BPNN

0.9457 (+0.0466)

0.9726 (+0.0398)

SSA-BPNN

0.9528 (+0.0537)

0.9876 (+0.0548)

SOA-BPNN

0.9721 (+0.0730)

0.9901 (+0.0573)

ISOA-BPNN

0.9834 (+0.0843)

0.9956 (+0.0628)

The original BPNN algorithm had an F1 value of 0.8991 and an AUC of 0.9328. After algorithm optimization, the F1 value and the AUC exhibited substantial improvements. In particular, the F1 value of the ISOA-BPNN algorithm was 0.9834, showing a 0.0843 increase compared to the BPNN algorithm, while the AUC was 0.9956, signifying a 0.0628 increase. Hence, the ISOA algorithm is effective in optimizing the BPNN parameters, and the optimized algorithm has superior capability to differentiate the mental health status of college students.

The ISOA-BPNN model was then compared with other predictive models, and the statistical difference was analyzed. The comparison models included the following:

(1) logistics regression [20],

(2) support vector machine (SVM) [21],

(3) XGBoost [22].

The results are presented in Table 11.

The logistic regression model performed significantly worse than the other models (Table 11). When predicting the mental health status of college students, the F1 and AUC values were only 0.9126 and 0.9532, respectively, the lowest among all the models compared. The difference was statistically significant compared to the ISOA-BPNN model (p < 0.01). The F1 and AUC values of the SVM and XGBoost models were above 0.95, but they were still significantly lower than the ISOA-BPNN model (p < 0.05), demonstrating the superiority of the proposed method for predicting the mental health status of college students. The proposed model could accurately identify college students who may experience anxiety, depression, and other negative emotions.

Table 11. Comparison of F1 and AUC Values between Different Models.

F1 value

AUC

Logistics regression

0.9126±0.0125**

0.9532±0.0126**

SVM

0.9354±0.0133*

0.9627±0.0108*

XGBoost

0.9577±0.0121*

0.9889±0.0132*

ISOA-BPNN

0.9834±0.0145

0.9956±0.0137

Note: **: compared to the ISOA-BPNN model, p < 0.01; *: compared to the ISOA-BPNN model, p < 0.05.

Finally, ten samples were analyzed to predict the mental health status of college students, as listed in Table 12.

Across the five samples under study, the BPNN outputs aligned perfectly with the actual conditions, affirming the reliability of the ISOA-BPNN algorithm in predicting the mental health status of college students, as shown in Table 12. Of the five samples, three were categorized as normal, while two were considered abnormal. The two abnormal samples were analyzed. Sample 2 showed heavy stress on items X5, X6, X7, and X8. Further investigation suggested that the student had poor exam performance, experienced financial difficulties, and faced criticism from a teacher due to classroom performance. These factors contributed to a high SCL-90 score. Such a student requires psychological counseling for relief. Sample 5 displayed elevated stress on items X1, X2, and X3. Through a practical inquiry, it was discovered that this senior student faced increased pressure related to employment, leading to heightened emotional distress, anxiety, and depression. Hence, the school should focus on providing the student with meaningful employment guidance to help alleviate these negative emotions.

Table 12. Predictive Analysis of the Mental Health Status of College Students.

Sample number

ISOA-BPNN input

Actual result

ISOA-BPNN output

X1

X2

X3

X4

X5

X6

X7

X8

X9

X10

1

1

1

1

2

1

1

1

1

1

1

Normal

Normal

2

3

3

3

3

4

4

4

4

2

2

Abnormal

Abnormal

3

1

1

1

1

1

1

1

1

1

1

Normal

Normal

4

2

2

1

1

1

1

2

1

1

1

Normal

Normal

5

4

4

4

3

3

3

3

3

2

2

Abnormal

Abnormal

5. Discussion

The psychological well-being of college students has always been a focal point in psychology and education. With the continuous development of big data technology, an increasing number of big data methods are being applied in the mental health field, revealing psychological characteristics more comprehensively and objectively. The article primarily used big data technology to comprehend the stress and mental health status of college students through questionnaires. It integrated information from various aspects, such as employment and academic performance, to comprehensively predict college students‘ mental health status.

The ISOA algorithm outperformed the PSO, ABC, and the other optimization algorithms. The findings from the evaluation of five benchmark test functions demonstrated that the ISOA exhibited superior optimization ability and achieved better parameter optimization performance for BPNN. Tables 9 and 10 also confirmed this point, as the ISOA-optimized BPNN model outperformed in terms of accuracy, F1 value, and AUC value for predicting the mental health status of college students. Hence, the enhancement effect of the ISOA on the predictive performance of BPNN was demonstrated, further improving its effectiveness in predicting the mental health status of college students. Furthermore, The logistic regression and other methods yielded significantly lower F1 and AUC values than the ISOA-BPNN model (p < 0.05), highlighting the advantages of the proposed ISOA-BPNN approach.

The ISOA-BPNN model accurately determined the psychological health status of college students, providing reliable support for guidance and intervention in schools. This method can be implemented in real universities to improve the mental health of college students and promote social stability. Nevertheless, this study also has some limitations. Data privacy protection and potentially biased data were not considered. Moreover, the research was conducted solely on universities located in Hebei province. Future research will explore how to achieve a better balance between data privacy and data mining while examining a broader range of data to determine the applicability of the proposed methods.

6. Conclusion

Research was conducted on predicting the psychological well-being of college students. A questionnaire survey was used to understand the stress levels and mental health conditions of college students. Subsequently, an ISOA-BPNN predictive model was developed to forecast the psychological well-being of college students. Compared to other optimization algorithms, the ISOA had better optimization ability and was more effective in enhancing the performance of the BPNN algorithm for predicting mental health. The ISOA-BPNN model achieved an F1 value and an AUC of 0.9834 and 0.9956, respectively, in predicting the mental health of college students. The proposed model had a clear advantage over other models, such as the SVM. These results affirm the reliability of the optimized method and its potential for practical application and broader adoption. This article demonstrates the superior optimization effect of the ISOA and provides a new and reliable method for parameter optimization in a BPNN. It also offers theoretical references for further research on optimization problems.

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Author

Peng Zhang
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Peng Zhang was born in Cangzhou, Hebei, China, in 1988. From 2011 to 2014, he studied at Tianjin Normal University and received his Master’s degree in 2014. Currently, he works at Cangzhou Normal University. He has published eight papers and has presided over six projects at the provincial and municipal levels. His research interests are the ideological and political education of college students.

Wenjing Han
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Wenjing Han was born in Hengshui, Hebei Province, in 1973. She studied at the Department of Education at Hebei University from 1993 to 1997 and gained a Bachelor’s degree. She began work in 1997. From 2007 to 2009, she studied in the postgraduate program for college and university teachers at Hebei University and gained a Master’s degree. At present, she is a lecturer at Handan University. In recent years, she has mainly been researching positive psychology. She has presided over eight provincial research projects and published several articles.

Quanzhi Liu
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Quanzhi Liu was born in Cangzhou, Hebei, China, in 1987. From 2012 to 2015, he studied in Hebei University and received his Master’s degree in 2015. Currently, he works in Cangzhou Normal University. He has published several papers and has presided over five projects at the municipal level. His research interests are statistical analysis and financial management.