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import torch
import torch.nn as nn
import nneq
class xor_mlp(nn.Module):
def __init__(self, hidden_dim=4):
super().__init__()
self.layers = nn.Sequential(
nn.Linear(2, hidden_dim),
nn.ReLU(),
nn.Linear(hidden_dim, 1)
)
def forward(self, x):
return self.layers(x)
def train_model(name: str):
X = torch.tensor([[0,0], [0,1], [1,0], [1,1]], dtype=torch.float32)
Y = torch.tensor([[0], [1], [1], [0]], dtype=torch.float32)
net = xor_mlp()
loss_fn = nn.MSELoss()
optimizer = torch.optim.Adam(net.parameters(), lr=0.01)
print(f"Training {name}...")
for epoch in range(1000):
optimizer.zero_grad()
out = net(X)
loss = loss_fn(out, Y)
loss.backward()
optimizer.step()
if (epoch+1) % 100 == 0:
print(f" Epoch {epoch+1}, Loss: {loss.item():.4f}")
return net
if __name__ == "__main__":
net_a = train_model("Network A")
net_b = train_model("Network B")
z3_net_a = nneq.net(net_a, (2,))
z3_net_b = nneq.net(net_b, (2,))
print("")
nneq.strict_equivalence(z3_net_a, z3_net_b)
print("")
nneq.epsilon_equivalence(z3_net_a, z3_net_b, 0.1)
print("")
nneq.argmax_equivalence(z3_net_a, z3_net_b)
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