| import torch |
| import torch.nn as nn |
| import torch.nn.functional as F |
| import torch.optim as optim |
| from torch.utils.data import DataLoader |
| from torchvision import datasets, transforms |
|
|
| |
| def pixel_to_owner(idx): |
| row = idx // 28 |
| col = idx % 28 |
| if row < 14 and col < 14: |
| return 0 |
| elif row < 14 and col >= 14: |
| return 1 |
| elif row >= 14 and col < 14: |
| return 2 |
| else: |
| return 3 |
|
|
| owner_indices = {o: [] for o in range(4)} |
| for idx in range(784): |
| owner_indices[pixel_to_owner(idx)].append(idx) |
|
|
| owner_indices_t = {o: torch.tensor(sorted(indices), dtype=torch.long) |
| for o, indices in owner_indices.items()} |
|
|
| |
| class OwnerLinear(nn.Module): |
| def __init__(self, in_features, out_features_per_owner, owner_indices, owner_weights=None): |
| super().__init__() |
| self.owner_indices = owner_indices |
| self.num_owners = len(owner_indices) |
| self.out_per_owner = out_features_per_owner |
| self.total_out = self.num_owners * out_features_per_owner |
|
|
| if owner_weights is None: |
| owner_weights = {o: 1.0 for o in range(self.num_owners)} |
| self.owner_weights = owner_weights |
|
|
| |
| self.weights = nn.ParameterDict() |
| self.biases = nn.ParameterDict() |
| for o, indices in owner_indices.items(): |
| in_dim = len(indices) |
| self.weights[str(o)] = nn.Parameter( |
| torch.randn(out_features_per_owner, in_dim) * 0.01 |
| ) |
| self.biases[str(o)] = nn.Parameter( |
| torch.zeros(out_features_per_owner) |
| ) |
|
|
| def forward(self, x): |
| outputs = [] |
| for o, indices in self.owner_indices.items(): |
| x_o = x[:, indices] |
| w = self.weights[str(o)] |
| b = self.biases[str(o)] |
| out_o = F.linear(x_o, w, b) |
| outputs.append(out_o) |
| return torch.cat(outputs, dim=1) |
|
|
| def semantic_norm(self): |
| norm_sq = 0.0 |
| for o_str, w_param in self.weights.items(): |
| o = int(o_str) |
| norm_sq += self.owner_weights[o] * (w_param.norm('fro') ** 2) |
| return norm_sq |
|
|
| |
| class OwnershipMLP(nn.Module): |
| def __init__(self, hidden_per_owner=64, owner_weights=None): |
| super().__init__() |
| self.owner_linear = OwnerLinear( |
| in_features=784, |
| out_features_per_owner=hidden_per_owner, |
| owner_indices=owner_indices_t, |
| owner_weights=owner_weights |
| ) |
| self.fc_out = nn.Linear(self.owner_linear.total_out, 10) |
|
|
| def forward(self, x): |
| x = x.view(x.size(0), -1) |
| x = self.owner_linear(x) |
| x = F.relu(x) |
| x = self.fc_out(x) |
| return x |
|
|
| def semantic_norm_loss(self): |
| return self.owner_linear.semantic_norm() |
|
|
| |
| def train(model, device, train_loader, optimizer, epoch, lambda_norm=1e-4): |
| model.train() |
| for batch_idx, (data, target) in enumerate(train_loader): |
| data, target = data.to(device), target.to(device) |
| optimizer.zero_grad() |
| output = model(data) |
| ce_loss = F.cross_entropy(output, target) |
| norm_penalty = lambda_norm * model.semantic_norm_loss() |
| loss = ce_loss + norm_penalty |
| loss.backward() |
| optimizer.step() |
| if batch_idx % 100 == 0: |
| print(f'Train Epoch: {epoch} [{batch_idx * len(data)}/{len(train_loader.dataset)} ' |
| f'({100. * batch_idx / len(train_loader):.0f}%)]\tLoss: {loss.item():.6f}') |
|
|
| def test(model, device, test_loader): |
| model.eval() |
| test_loss = 0 |
| correct = 0 |
| with torch.no_grad(): |
| for data, target in test_loader: |
| data, target = data.to(device), target.to(device) |
| output = model(data) |
| test_loss += F.cross_entropy(output, target, reduction='sum').item() |
| pred = output.argmax(dim=1, keepdim=True) |
| correct += pred.eq(target.view_as(pred)).sum().item() |
| test_loss /= len(test_loader.dataset) |
| accuracy = 100. * correct / len(test_loader.dataset) |
| print(f'\nTest set: Average loss: {test_loss:.4f}, Accuracy: {correct}/{len(test_loader.dataset)} ({accuracy:.2f}%)\n') |
| return accuracy |
|
|
| def main(): |
| device = torch.device("cuda" if torch.cuda.is_available() else "cpu") |
| print(f"Using device: {device}") |
|
|
| transform = transforms.Compose([ |
| transforms.ToTensor(), |
| transforms.Normalize((0.1307,), (0.3081,)) |
| ]) |
| train_dataset = datasets.MNIST('./data', train=True, download=True, transform=transform) |
| test_dataset = datasets.MNIST('./data', train=False, transform=transform) |
| train_loader = DataLoader(train_dataset, batch_size=128, shuffle=True) |
| test_loader = DataLoader(test_dataset, batch_size=1000, shuffle=False) |
|
|
| model = OwnershipMLP(hidden_per_owner=64).to(device) |
| optimizer = optim.Adam(model.parameters(), lr=1e-3) |
|
|
| for epoch in range(1, 16): |
| train(model, device, train_loader, optimizer, epoch, lambda_norm=1e-4) |
| test(model, device, test_loader) |
|
|
| if __name__ == "__main__": |
| main() |