Secondary lyophilization process prediction on secondary lyophilization dataset
0.0082RMSEPKAN_fixed
Evaluation results
| Method | Links | ||||||
|---|---|---|---|---|---|---|---|
| PKAN_fixedModel Family=KAN Models, Integration strategy=Fixed-weight, Time(s)=36075.5, Model complexity=approximately 30,000 parameters2025.09 | 0.0082 | 0.1019 | 0.0023 | 0.0356 | 0.1854 | 0.2019 | |
| PKAN_uncertaintyModel Family=KAN Models, Integration strategy=Uncertainty-based, Time(s)=2304.3, Model complexity=approximately 30,000 parameters2025.09 | 0.0089 | 0.0919 | 0.0024 | 0.0419 | 0.0927 | 0.1932 | |
| cPKAN_uncertaintyModel Family=cKAN Models, Integration strategy=Uncertainty-based, Time(s)=12.4, Model complexity=approximately 30,000 parameters2025.09 | 0.009 | 0.1015 | 0.0023 | 0.0361 | 0.1391 | 0.2028 | |
| PKAN_RBAModel Family=KAN Models, Integration strategy=Residual-Based Attention, Time(s)=2800.1, Model complexity=approximately 30,000 parameters2025.09 | 0.0092 | 0.0836 | 0.0024 | 0.0414 | 0.0464 | 0.1849 | |
| RNN_RBAModel Family=RNN Models, Integration strategy=Residual-Based Attention, Time(s)=18.1, Model complexity=approximately 30,000 parameters2025.09 | 0.0093 | 0.0962 | 0.0031 | 0.0494 | 1.1127 | 0.1976 | |
| RNN_uncertaintyModel Family=RNN Models, Integration strategy=Uncertainty-based, Time(s)=16.5, Model complexity=approximately 30,000 parameters2025.09 | 0.0096 | 0.1155 | 0.0027 | 0.0531 | 0.7881 | 0.2058 | |
| cKANModel Family=cKAN Models, Integration strategy=Pure data-driven, Time(s)=16.9, Model complexity=approximately 30,000 parameters2025.09 | 0.0103 | 0.1257 | 0.0022 | 0.0494 | 0.2318 | 0.2211 | |
| RNNModel Family=RNN Models, Integration strategy=Pure data-driven, Time(s)=14.5, Model complexity=approximately 30,000 parameters2025.09 | 0.0106 | 0.1232 | 0.0026 | 0.0496 | 0.7418 | 0.2142 | |
| cPKAN_fixedModel Family=cKAN Models, Integration strategy=Fixed-weight, Time(s)=153.0, Model complexity=approximately 30,000 parameters2025.09 | 0.011 | 0.1222 | 0.0022 | 0.0489 | 0.2782 | 0.2176 | |
| LEM_RBAModel Family=LEM Models, Integration strategy=Residual-Based Attention, Time(s)=3523.9, Model complexity=approximately 30,000 parameters2025.09 | 0.011 | 0.1205 | 0.0031 | 0.0524 | 0.8345 | 0.2158 | |
| LSTM_uncertaintyModel Family=LSTM Models, Integration strategy=Uncertainty-based, Time(s)=18.7, Model complexity=approximately 30,000 parameters2025.09 | 0.011 | 0.1279 | 0.0031 | 0.0541 | 0.8345 | 0.2233 | |
| LEM_uncertaintyModel Family=LEM Models, Integration strategy=Uncertainty-based, Time(s)=1919.2, Model complexity=approximately 30,000 parameters2025.09 | 0.0111 | 0.1196 | 0.0029 | 0.0565 | 0.7881 | 0.2167 | |
| RNN_fixedModel Family=RNN Models, Integration strategy=Fixed-weight, Time(s)=247.7, Model complexity=approximately 30,000 parameters2025.09 | 0.0112 | 0.1018 | 0.0032 | 0.0438 | 0.9736 | 0.2022 | |
| Recipe Prior BaselineModel Family=Baseline, Model complexity=approximately 30,000 parameters2025.09 | 0.0116 | 0.126 | 0.0021 | 0.0485 | 0 | 0 | |
| MLP_uncertaintyModel Family=MLP Models, Integration strategy=Uncertainty-based, Time(s)=16.2, Model complexity=approximately 30,000 parameters2025.09 | 0.0118 | 0.1439 | 0.0023 | 0.0559 | 0.2782 | 0.2394 | |
| cPKAN_RBAModel Family=cKAN Models, Integration strategy=Residual-Based Attention, Time(s)=10.2, Model complexity=approximately 30,000 parameters2025.09 | 0.0119 | 0.1083 | 0.0022 | 0.0488 | 0.1391 | 0.2036 | |
| LSTM_RBAModel Family=LSTM Models, Integration strategy=Residual-Based Attention, Time(s)=18.9, Model complexity=approximately 30,000 parameters2025.09 | 0.0124 | 0.149 | 0.0029 | 0.059 | 1.0663 | 0.2435 | |
| MLPModel Family=MLP Models, Integration strategy=Pure data-driven, Time(s)=16.8, Model complexity=approximately 30,000 parameters2025.09 | 0.0125 | 0.1594 | 0.0023 | 0.0485 | 0.51 | 0.2429 | |
| LSTM_fixedModel Family=LSTM Models, Integration strategy=Fixed-weight, Time(s)=275.6, Model complexity=approximately 30,000 parameters2025.09 | 0.0126 | 0.1617 | 0.003 | 0.0621 | 0.8345 | 0.2562 | |
| MLP_fixedModel Family=MLP Models, Integration strategy=Fixed-weight, Time(s)=225.0, Model complexity=approximately 30,000 parameters2025.09 | 0.0128 | 0.1571 | 0.0024 | 0.0504 | 0.4172 | 0.2385 | |
| MLP_RBAModel Family=MLP Models, Integration strategy=Residual-Based Attention, Time(s)=14.2, Model complexity=approximately 30,000 parameters2025.09 | 0.0134 | 0.1675 | 0.0023 | 0.0523 | 0.4172 | 0.2455 | |
| Transformer_uncertaintyModel Family=Transformer Models, Integration strategy=Uncertainty-based, Time(s)=65.7, Model complexity=approximately 30,000 parameters2025.09 | 0.0136 | 0.1236 | 0.002 | 0.0369 | 0.1391 | 0.2266 | |
| LSTMModel Family=LSTM Models, Integration strategy=Pure data-driven, Time(s)=27.8, Model complexity=approximately 30,000 parameters2025.09 | 0.0146 | 0.1853 | 0.0027 | 0.056 | 1.2054 | 0.269 | |
| LEM_fixedModel Family=LEM Models, Integration strategy=Fixed-weight, Time(s)=62601.0, Model complexity=approximately 30,000 parameters2025.09 | 0.0153 | 0.1873 | 0.0027 | 0.0541 | 1.0199 | 0.265 | |
| LEMModel Family=LEM Models, Integration strategy=Pure data-driven, Time(s)=3264.1, Model complexity=approximately 30,000 parameters2025.09 | 0.0154 | 0.1923 | 0.0027 | 0.0548 | 1.0199 | 0.2734 | |
| Transformer_RBAModel Family=Transformer Models, Integration strategy=Residual-Based Attention, Time(s)=79.8, Model complexity=approximately 30,000 parameters2025.09 | 0.0162 | 0.1449 | 0.002 | 0.0717 | 0.1391 | 0.2405 | |
| TransformerModel Family=Transformer Models, Integration strategy=Pure data-driven, Time(s)=67.7, Model complexity=approximately 30,000 parameters2025.09 | 0.0181 | 0.1559 | 0.0021 | 0.0678 | 0.1391 | 0.2512 |