化工学报 ›› 2025, Vol. 76 ›› Issue (1): 283-295.DOI: 10.11949/0438-1157.20240689
收稿日期:
2024-06-20
修回日期:
2024-07-27
出版日期:
2025-01-25
发布日期:
2025-02-08
通讯作者:
郝矿荣
作者简介:
王绍吉(2000—),男,硕士研究生,2221995@mail.dhu.edu.cn
基金资助:
Shaoji WANG1,2(), Kuangrong HAO1,2(
), Lei CHEN1,2
Received:
2024-06-20
Revised:
2024-07-27
Online:
2025-01-25
Published:
2025-02-08
Contact:
Kuangrong HAO
摘要:
在聚酯纤维生产过程中,酯化温度的精确控制至关重要。然而,由于生产设备和工艺参数的差异,传统预测方法难以满足个性化需求,且数据共享过程中存在隐私泄露和通信压力问题。提出了一种基于联邦学习的个性化自适应酯化温度时间序列预测算法。采用联合预测机制为每个客户端分配私有和共享模型,设置自适应阶段根据客户端数据分布智能调整模型参数,并学习客户端独有的联合预测权重,实现个性化预测输出。采用贝叶斯优化算法解决高维复杂和资源限制问题,快速高效地得到了最佳超参数组合。在三家聚酯纤维生产厂家的真实数据集上的广泛实验结果表明,算法在五种预测模型下均取得了最佳预测性能,有效提高了酯化温度预测的准确性。
中图分类号:
王绍吉, 郝矿荣, 陈磊. 基于联邦学习的聚酯纤维酯化过程温度预测研究[J]. 化工学报, 2025, 76(1): 283-295.
Shaoji WANG, Kuangrong HAO, Lei CHEN. Research on temperature forecasting of polyester fiber esterification process based on federated learning[J]. CIESC Journal, 2025, 76(1): 283-295.
工厂 | 起始时间 | 终止时间 | 总样本量 | 训练集样本量 | 验证集样本量 | 测试集样本量 | 变量维度 |
---|---|---|---|---|---|---|---|
工厂A | 2012-03-01 00:00:00 | 2012-04-22 01:50:00 | 14999 | 10499 | 1499 | 3001 | 20 |
工厂B | 2016-11-07 00:00:00 | 2016-11-20 21:19:00 | 20000 | 14000 | 2000 | 4000 | 20 |
工厂C | 2022-02-01 00:05:00 | 2022-02-01 20:32:00 | 2000 | 1400 | 200 | 400 | 20 |
表1 PE数据集详细信息
Table 1 Details of the PE dataset
工厂 | 起始时间 | 终止时间 | 总样本量 | 训练集样本量 | 验证集样本量 | 测试集样本量 | 变量维度 |
---|---|---|---|---|---|---|---|
工厂A | 2012-03-01 00:00:00 | 2012-04-22 01:50:00 | 14999 | 10499 | 1499 | 3001 | 20 |
工厂B | 2016-11-07 00:00:00 | 2016-11-20 21:19:00 | 20000 | 14000 | 2000 | 4000 | 20 |
工厂C | 2022-02-01 00:05:00 | 2022-02-01 20:32:00 | 2000 | 1400 | 200 | 400 | 20 |
模型 | 架构 | 参数维度 | 总参数量 |
---|---|---|---|
GRU | GRU层 | GRU(20, 128) | 57729 |
全连接层 | Linear(128, 1) | ||
LSTM | LSTM层 | LSTM(20, 128) | 76929 |
全连接层 | Linear(128, 1) | ||
RNN | RNN层 | RNN(20, 128) | 19329 |
全连接层 | Linear(128, 1) | ||
MLP | 全连接层-1 | Linear(240, 128) | 39169 |
全连接层-2 | Linear(128, 64) | ||
全连接层-3 | Linear(64, 1) | ||
CNN | 卷积层-1 | Conv1d(12, 16, kernel_size=2, stride=1) | 9265 |
卷积层-2 | Conv1d(16, 32, kernel_size=1, stride=1) | ||
池化层 | Maxpool1d(kernel_size=2, stride=2, padding=0, dilation=1) | ||
全连接层-1 | Linear(128, 64) | ||
全连接层-2 | Linear(64, 1) |
表2 模型架构及参数详细信息
Table 2 Details of the model architecture and parameters
模型 | 架构 | 参数维度 | 总参数量 |
---|---|---|---|
GRU | GRU层 | GRU(20, 128) | 57729 |
全连接层 | Linear(128, 1) | ||
LSTM | LSTM层 | LSTM(20, 128) | 76929 |
全连接层 | Linear(128, 1) | ||
RNN | RNN层 | RNN(20, 128) | 19329 |
全连接层 | Linear(128, 1) | ||
MLP | 全连接层-1 | Linear(240, 128) | 39169 |
全连接层-2 | Linear(128, 64) | ||
全连接层-3 | Linear(64, 1) | ||
CNN | 卷积层-1 | Conv1d(12, 16, kernel_size=2, stride=1) | 9265 |
卷积层-2 | Conv1d(16, 32, kernel_size=1, stride=1) | ||
池化层 | Maxpool1d(kernel_size=2, stride=2, padding=0, dilation=1) | ||
全连接层-1 | Linear(128, 64) | ||
全连接层-2 | Linear(64, 1) |
算法 | 特殊超参数搜索范围 |
---|---|
Localised | — |
FedAvg | — |
FedAvg_FT | — |
APFL | — |
APPLE | — |
FedProx | |
FedRep | |
FML | |
FedAPEN、FedPatsf | |
表3 算法特殊超参数及搜索范围
Table 3 Special hyperparameters and search ranges of algorithms
算法 | 特殊超参数搜索范围 |
---|---|
Localised | — |
FedAvg | — |
FedAvg_FT | — |
APFL | — |
APPLE | — |
FedProx | |
FedRep | |
FML | |
FedAPEN、FedPatsf | |
公共超参数 | 搜索范围 |
---|---|
通讯轮数 | [ |
学习率 | [0.001,0.01] |
动量 | [0.5,0.9] |
批大小 | [ |
窗口大小 | [ |
隐藏层层数 | [ |
隐藏层大小 | [ |
本地训练轮数 | [ |
表4 算法公共超参数及搜索范围
Table 4 Common hyperparameters and search ranges for algorithms
公共超参数 | 搜索范围 |
---|---|
通讯轮数 | [ |
学习率 | [0.001,0.01] |
动量 | [0.5,0.9] |
批大小 | [ |
窗口大小 | [ |
隐藏层层数 | [ |
隐藏层大小 | [ |
本地训练轮数 | [ |
算法 | GRU | ||
---|---|---|---|
MSE | RMSE | MAE | |
Localised | 0.0029 | 0.0400 | 0.0283 |
FedAvg | 0.0032 | 0.0407 | 0.0291 |
FedAvg_FT | 0.0036 | 0.0435 | 0.0318 |
FedProx | 0.0099 | 0.0799 | 0.0676 |
FedRep | 0.0037 | 0.0484 | 0.0402 |
FML | 0.0029 | 0.0391 | 0.0283 |
APFL | 0.0034 | 0.0420 | 0.0305 |
APPLE | 0.0036 | 0.0418 | 0.0306 |
FedAPEN | 0.0024 | 0.0403 | 0.0292 |
本文 | 0.0026 | 0.0359 | 0.0262 |
表5 不同算法在PE数据集上GRU模型预测对比
Table 5 GRU model forecasting comparison of different algorithms on PE dataset
算法 | GRU | ||
---|---|---|---|
MSE | RMSE | MAE | |
Localised | 0.0029 | 0.0400 | 0.0283 |
FedAvg | 0.0032 | 0.0407 | 0.0291 |
FedAvg_FT | 0.0036 | 0.0435 | 0.0318 |
FedProx | 0.0099 | 0.0799 | 0.0676 |
FedRep | 0.0037 | 0.0484 | 0.0402 |
FML | 0.0029 | 0.0391 | 0.0283 |
APFL | 0.0034 | 0.0420 | 0.0305 |
APPLE | 0.0036 | 0.0418 | 0.0306 |
FedAPEN | 0.0024 | 0.0403 | 0.0292 |
本文 | 0.0026 | 0.0359 | 0.0262 |
算法 | LSTM | ||
---|---|---|---|
MSE | RMSE | MAE | |
Localised | 0.0041 | 0.0466 | 0.0364 |
FedAvg | 0.0029 | 0.0373 | 0.0276 |
FedAvg_FT | 0.0029 | 0.0399 | 0.0301 |
FedProx | 0.0072 | 0.0726 | 0.0615 |
FedRep | 0.0035 | 0.0443 | 0.0338 |
FML | 0.0035 | 0.0439 | 0.0326 |
APFL | 0.0029 | 0.0399 | 0.0301 |
APPLE | 0.0041 | 0.0498 | 0.0371 |
FedAPEN | 0.0025 | 0.0358 | 0.0264 |
本文 | 0.0027 | 0.0352 | 0.0257 |
表6 不同算法在PE数据集上LSTM模型预测对比
Table 6 LSTM model forecasting comparison of different algorithms on PE dataset
算法 | LSTM | ||
---|---|---|---|
MSE | RMSE | MAE | |
Localised | 0.0041 | 0.0466 | 0.0364 |
FedAvg | 0.0029 | 0.0373 | 0.0276 |
FedAvg_FT | 0.0029 | 0.0399 | 0.0301 |
FedProx | 0.0072 | 0.0726 | 0.0615 |
FedRep | 0.0035 | 0.0443 | 0.0338 |
FML | 0.0035 | 0.0439 | 0.0326 |
APFL | 0.0029 | 0.0399 | 0.0301 |
APPLE | 0.0041 | 0.0498 | 0.0371 |
FedAPEN | 0.0025 | 0.0358 | 0.0264 |
本文 | 0.0027 | 0.0352 | 0.0257 |
算法 | RNN | ||
---|---|---|---|
MSE | RMSE | MAE | |
Localised | 0.0027 | 0.0359 | 0.0245 |
FedAvg | 0.0024 | 0.0353 | 0.0241 |
FedAvg_FT | 0.0027 | 0.0383 | 0.0278 |
FedProx | 0.0070 | 0.0727 | 0.0610 |
FedRep | 0.0031 | 0.0416 | 0.0320 |
FML | 0.0027 | 0.0385 | 0.0275 |
APFL | 0.0026 | 0.0374 | 0.0260 |
APPLE | 0.0028 | 0.0378 | 0.0267 |
FedAPEN | 0.0027 | 0.0368 | 0.0276 |
本文 | 0.0024 | 0.0348 | 0.0235 |
表7 不同算法在PE数据集上RNN模型预测对比
Table 7 RNN model forecasting comparison of different algorithms on PE dataset
算法 | RNN | ||
---|---|---|---|
MSE | RMSE | MAE | |
Localised | 0.0027 | 0.0359 | 0.0245 |
FedAvg | 0.0024 | 0.0353 | 0.0241 |
FedAvg_FT | 0.0027 | 0.0383 | 0.0278 |
FedProx | 0.0070 | 0.0727 | 0.0610 |
FedRep | 0.0031 | 0.0416 | 0.0320 |
FML | 0.0027 | 0.0385 | 0.0275 |
APFL | 0.0026 | 0.0374 | 0.0260 |
APPLE | 0.0028 | 0.0378 | 0.0267 |
FedAPEN | 0.0027 | 0.0368 | 0.0276 |
本文 | 0.0024 | 0.0348 | 0.0235 |
算法 | MLP | ||
---|---|---|---|
MSE | RMSE | MAE | |
Localised | 0.014 | 0.0867 | 0.0714 |
FedAvg | 0.0058 | 0.0572 | 0.0445 |
FedAvg_FT | 0.0045 | 0.0533 | 0.0421 |
FedProx | 0.015 | 0.0928 | 0.0835 |
FedRep | 0.0069 | 0.0652 | 0.0551 |
FML | 0.0085 | 0.0729 | 0.0632 |
APFL | 0.0045 | 0.0561 | 0.0481 |
APPLE | 0.0067 | 0.0665 | 0.0542 |
FedAPEN | 0.0055 | 0.0561 | 0.0455 |
本文 | 0.0042 | 0.0487 | 0.0388 |
表8 不同算法在PE数据集上MLP模型预测对比
Table 8 MLP model forecasting comparison of different algorithms on PE dataset
算法 | MLP | ||
---|---|---|---|
MSE | RMSE | MAE | |
Localised | 0.014 | 0.0867 | 0.0714 |
FedAvg | 0.0058 | 0.0572 | 0.0445 |
FedAvg_FT | 0.0045 | 0.0533 | 0.0421 |
FedProx | 0.015 | 0.0928 | 0.0835 |
FedRep | 0.0069 | 0.0652 | 0.0551 |
FML | 0.0085 | 0.0729 | 0.0632 |
APFL | 0.0045 | 0.0561 | 0.0481 |
APPLE | 0.0067 | 0.0665 | 0.0542 |
FedAPEN | 0.0055 | 0.0561 | 0.0455 |
本文 | 0.0042 | 0.0487 | 0.0388 |
算法 | CNN | ||
---|---|---|---|
MSE | RMSE | MAE | |
Localised | 0.032 | 0.168 | 0.151 |
FedAvg | 0.031 | 0.154 | 0.133 |
FedAvg_FT | 0.034 | 0.176 | 0.155 |
FedProx | 0.026 | 0.144 | 0.126 |
FedRep | 0.032 | 0.163 | 0.144 |
FML | 0.039 | 0.192 | 0.170 |
APFL | 0.035 | 0.179 | 0.157 |
APPLE | 0.036 | 0.169 | 0.151 |
FedAPEN | 0.036 | 0.177 | 0.154 |
本文 | 0.024 | 0.142 | 0.120 |
表9 不同算法在PE数据集上CNN模型预测对比
Table 9 CNN model forecasting comparison of different algorithms on PE dataset
算法 | CNN | ||
---|---|---|---|
MSE | RMSE | MAE | |
Localised | 0.032 | 0.168 | 0.151 |
FedAvg | 0.031 | 0.154 | 0.133 |
FedAvg_FT | 0.034 | 0.176 | 0.155 |
FedProx | 0.026 | 0.144 | 0.126 |
FedRep | 0.032 | 0.163 | 0.144 |
FML | 0.039 | 0.192 | 0.170 |
APFL | 0.035 | 0.179 | 0.157 |
APPLE | 0.036 | 0.169 | 0.151 |
FedAPEN | 0.036 | 0.177 | 0.154 |
本文 | 0.024 | 0.142 | 0.120 |
变量 | 贡献度 |
---|---|
酯化釜温度调节 | 1.0 |
气相管线温度 | 0.25 |
分离塔顶部温度 | 0.09 |
酯化分离水回流量控制 | 0.06 |
酯化釜液位 | 0.05 |
热水循环泵频率调节 | 0.04 |
水回流泵出口压力 | 0.03 |
表10 酯化温度预测变量贡献
Table 10 Contributions of variables to the forecasting of esterification temperature
变量 | 贡献度 |
---|---|
酯化釜温度调节 | 1.0 |
气相管线温度 | 0.25 |
分离塔顶部温度 | 0.09 |
酯化分离水回流量控制 | 0.06 |
酯化釜液位 | 0.05 |
热水循环泵频率调节 | 0.04 |
水回流泵出口压力 | 0.03 |
消融算法 | MSE | RMSE | MAE |
---|---|---|---|
FedPatsf_Tune | 0.0026 | 0.0358 | 0.0246 |
FedPatsf_Lw | 0.0025 | 0.0355 | 0.0244 |
FedPatsf_Joint | 0.0028 | 0.0369 | 0.0260 |
FedPatsf | 0.0024 | 0.0348 | 0.0235 |
表11 消融实验
Table 11 The FedPatsf algorithm ablation experiment
消融算法 | MSE | RMSE | MAE |
---|---|---|---|
FedPatsf_Tune | 0.0026 | 0.0358 | 0.0246 |
FedPatsf_Lw | 0.0025 | 0.0355 | 0.0244 |
FedPatsf_Joint | 0.0028 | 0.0369 | 0.0260 |
FedPatsf | 0.0024 | 0.0348 | 0.0235 |
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