Dynamical systems reconstruction on Lorenz-63 3d
0.23Dstspstandard PLRNN
Evaluation Results
| Method | Links | ||
|---|---|---|---|
| standard PLRNNLatent dimensions P=102026.02 | 0.23 | 0.079 | |
| SINDyNumber of parameters=302024.10 | 0.24 | 0.091 | |
| shPLRNNTeacher Forcing=generalized teacher forcing (GTF), Number of parameters=3652024.10 | 0.26 | 0.09 | |
| Neural ODE (Tsit5)Latent dimensions P=102026.02 | 0.28 | 0.085 | |
| AL-RNNTeacher Forcing=identity teacher forcing (id-TF), Number of parameters=3602024.10 | 0.34 | 0.081 | |
| cPLRNNLatent dimensions P=102026.02 | 0.35 | 0.116 | |
| Long Expressive MemoryNumber of parameters=3602024.10 | 0.39 | 0.12 | |
| Neural ODE (Euler)Latent dimensions P=102026.02 | 0.41 | 0.109 | |
| LSTM-TBPTTNumber of parameters=11882024.10 | 0.46 | 0.11 | |
| Reservoir ComputerNumber of parameters=6032024.10 | 0.52 | 0.19 | |
| Neural ODE (RK4)Latent dimensions P=102026.02 | 0.54 | 0.12 | |
| Neural-ODENumber of parameters=3532024.10 | 0.63 | 0.15 | |
| dend-RNNTeacher Forcing=identity teacher forcing (id-TF), Number of parameters=3612024.10 | 0.9 | 0.15 | |
| standard PLRNNLatent dimensions P=52026.02 | 1.18 | 0.14 | |
| Neural ODE (Tsit5)Latent dimensions P=52026.02 | 1.53 | 0.26 | |
| cPLRNNLatent dimensions P=52026.02 | 1.6 | 0.3 | |
| Neural ODE (Euler)Latent dimensions P=52026.02 | 1.9 | 0.339 | |
| Neural ODE (RK4)Latent dimensions P=52026.02 | 2 | 0.7 | |
| standard PLRNNLatent dimensions P=22026.02 | 3.84 | 0.31 | |
| cPLRNNLatent dimensions P=22026.02 | 5.3 | 0.62 | |
| Neural ODE (RK4)Latent dimensions P=22026.02 | 9.3 | 0.73 | |
| Neural ODE (Tsit5)Latent dimensions P=22026.02 | 9.7 | 0.724 | |
| Neural ODE (Euler)Latent dimensions P=22026.02 | 14.7 | 0.66 |