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torchdiffeq_neural_ode_solver_minimal_example.py
pythonA minimal example solving a simple Ordinary Differential Equation (ODE) usin
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torchdiffeq_neural_ode_solver_minimal_example.py
1import torch
2import torch.nn as nn
3from torchdiffeq import odeint
4
5class ODEFunc(nn.Module):
6 def __init__(self):
7 super(ODEFunc, self).__init__()
8 self.net = nn.Sequential(
9 nn.Linear(2, 50),
10 nn.Tanh(),
11 nn.Linear(50, 2),
12 )
13
14 def forward(self, t, y):
15 return self.net(y)
16
17# Initial state
18y0 = torch.tensor([[2., 0.]])
19# Time points to evaluate
20t = torch.linspace(0., 25., 100)
21# Neural ODE model
22func = ODEFunc()
23
24# Solve the ODE
25# Method can be 'dopri5', 'adams', 'rk4', 'euler', etc.
26with torch.no_grad():
27 pred_y = odeint(func, y0, t, method='dopri5')
28
29print(f"Output shape: {pred_y.shape}")