China Safety Science Journal ›› 2026, Vol. 36 ›› Issue (4): 244-251.doi: 10.16265/j.cnki.issn1003-3033.2026.04.0517
• Public Safety and Emergency Management • Previous Articles Next Articles
Wan Jiahui1(
), Yang Xiaoxia1,**(
), Kang Yuanlei2, Shao Chuang3
Received:2025-10-14
Revised:2025-12-20
Online:2026-04-28
Published:2026-10-28
Contact:
Yang Xiaoxia
CLC Number:
Wan Jiahui, Yang Xiaoxia, Kang Yuanlei, Shao Chuang. Deep learning prediction for subway section passenger flow integrating physical information and snow geese optimization[J]. China Safety Science Journal, 2026, 36(4): 244-251.
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URL: http://www.cssjj.com.cn/EN/10.16265/j.cnki.issn1003-3033.2026.04.0517
Table 1
Algorithm 1 hyperparameter solution of prediction model based on SGA
| 1: 开始 |
|---|
| 2: 初始化种群及相关参数设置 3: 生成初始种群位置矩阵P和速度矩阵V 4: 定义式(6)为新适应度函数F 5: 依据式(3)—式(5)定义物理损失 6: 依据式(7)定义数据损失 7: 计算初始适应度值F 8: 当m<M时 9: 计算雪雁的飞行角度θ 10: 若θ<π 11: 进入人字形飞行阶段 12: 进行种群速度的更新 13: 进行个体的适应度值排序 14: 更新适应度排序前20%的个体位置 15: 更新适应度排序后20%的个体位置 16: 更新其他个体位置 17: 若$\theta \ge \mathrm{\pi }$ 18: 进入直线飞行阶段 |
| 19: 更新种群位置 |
| 20: 重新计算适应度值F |
| 21: 更新全局最优解 |
| 22: 当m=M时 |
| 23: 结束 |
| 24: 返回最优超参数组合 |
Table 4
Evaluation index values of different models' predictive performance under training set and validation set
| 模型 | 训练集 | 验证集 | ||||||
|---|---|---|---|---|---|---|---|---|
| MSE | MAE | RMSE | R2 | MSE | MAE | RMSE | R2 | |
| ARIMA | 800 746.3 | 510.52 | 894.84 | 0.638 1 | 714 997.5 | 504.12 | 845.58 | 0.546 5 |
| SARIMA | 147 800.61 | 202.32 | 384.45 | 0.933 6 | 607 958.35 | 447.81 | 779.72 | 0.564 7 |
| GRU | 582 456.8 | 598.32 | 763.18 | 0.632 5 | 605 881.2 | 611.96 | 778.38 | 0.615 7 |
| CNN | 15 2897.5 | 245.68 | 391.02 | 0.847 6 | 184 205.3 | 268.45 | 429.20 | 0.802 3 |
| SVM | 177 668.1 | 610.61 | 421.51 | 0.919 7 | 540 592.6 | 610.61 | 735.25 | 0.657 1 |
| RF | 11 551.5 | 51.61 | 107.48 | 0.994 8 | 157 951.9 | 218.13 | 397.43 | 0.899 8 |
Table 5
Comparison of predictive performance indicators in ablation experiments
| 模型 | 误差指标 | |||
|---|---|---|---|---|
| MSE | MAE | RMSE | R2 | |
| SGA-PiLSTM | 123 821.007 7 | 248.954 9 | 351.882 1 | 0.921 5 |
| SGA-LSTM | 287 741.696 | 361.061 8 | 536.415 6 | 0.817 5 |
| PiLSTM | 158 380.600 2 | 241.011 9 | 397.970 6 | 0.899 5 |
| LSTM | 427 483.377 5 | 331.872 1 | 653.822 1 | 0.728 9 |
Table 7
Comparison of predictive performance metrics in ablation experiments based on physical constraints
| SGA- PiLSTM | 误差指标 | |||
|---|---|---|---|---|
| MSE | MAE | RMSE | R2 | |
| 模型1 | 175 620.120 6 | 271.265 4 | 419.070 5 | 0.888 6 |
| 模型2 | 269 482.893 7 | 288.981 7 | 519.117 4 | 0.829 1 |
| 模型3 | 123 821.007 7 | 248.954 9 | 351.882 1 | 0.921 5 |
| 模型4 | 287 741.696 | 361.061 8 | 536.415 6 | 0.817 5 |
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