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Dynamical systems reconstruction on Lorenz-63 3d

0.23Dstspstandard PLRNN
-0.34883.55817.46511.3719Oct 18, 2024Jan 7, 2025Mar 29, 2025Jun 18, 2025Sep 7, 2025Nov 27, 2025Feb 17, 2026

Evaluation results

MethodLinks
standard PLRNNLatent dimensions P=102026.020.230.079
SINDyNumber of parameters=302024.100.240.091
shPLRNNTeacher Forcing=generalized teacher forcing (GTF), Number of parameters=3652024.100.260.09
Neural ODE (Tsit5)Latent dimensions P=102026.020.280.085
AL-RNNTeacher Forcing=identity teacher forcing (id-TF), Number of parameters=3602024.100.340.081
cPLRNNLatent dimensions P=102026.020.350.116
Long Expressive MemoryNumber of parameters=3602024.100.390.12
Neural ODE (Euler)Latent dimensions P=102026.020.410.109
LSTM-TBPTTNumber of parameters=11882024.100.460.11
Reservoir ComputerNumber of parameters=6032024.100.520.19
Neural ODE (RK4)Latent dimensions P=102026.020.540.12
Neural-ODENumber of parameters=3532024.100.630.15
dend-RNNTeacher Forcing=identity teacher forcing (id-TF), Number of parameters=3612024.100.90.15
standard PLRNNLatent dimensions P=52026.021.180.14
Neural ODE (Tsit5)Latent dimensions P=52026.021.530.26
cPLRNNLatent dimensions P=52026.021.60.3
Neural ODE (Euler)Latent dimensions P=52026.021.90.339
Neural ODE (RK4)Latent dimensions P=52026.0220.7
standard PLRNNLatent dimensions P=22026.023.840.31
cPLRNNLatent dimensions P=22026.025.30.62
Neural ODE (RK4)Latent dimensions P=22026.029.30.73
Neural ODE (Tsit5)Latent dimensions P=22026.029.70.724
Neural ODE (Euler)Latent dimensions P=22026.0214.70.66