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 # ===================================================================== # 1. Ownership mappings # ===================================================================== def quadrant_owner(row, col): """4 coarse owners: the four 14x14 quadrants.""" return (0 if row < 14 else 2) + (0 if col < 14 else 1) def sub_quadrant_owner(row, col): """16 fine owners: each quadrant split into 4 sub-quadrants.""" q = quadrant_owner(row, col) r, c = row % 14, col % 14 sub = (0 if r < 7 else 2) + (0 if c < 7 else 1) return q * 4 + sub def build_owner_indices(owner_fn, num_owners): owner_indices = {o: [] for o in range(num_owners)} for idx in range(784): owner_indices[owner_fn(idx // 28, idx % 28)].append(idx) return {o: torch.tensor(sorted(v), dtype=torch.long) for o, v in owner_indices.items()} owner_indices_4 = build_owner_indices(quadrant_owner, 4) # coarse owner_indices_16 = build_owner_indices(sub_quadrant_owner, 16) # fine # ===================================================================== # 2. Ownership-Structured Linear Layer (fixed, from original) # ===================================================================== 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] out_o = F.linear(x_o, self.weights[str(o)], self.biases[str(o)]) 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 # ===================================================================== # 3. Owner-structured BatchNorm (governance, T7) # ===================================================================== class OwnerBatchNorm1d(nn.Module): def __init__(self, num_owners, per_owner): super().__init__() self.num_owners = num_owners self.per_owner = per_owner self.bns = nn.ModuleDict({str(o): nn.BatchNorm1d(per_owner) for o in range(num_owners)}) def forward(self, x): # x is (B, num_owners*per_owner), concatenated in owner order return torch.cat([ self.bns[str(o)](x[:, o * self.per_owner:(o + 1) * self.per_owner]) for o in range(self.num_owners) ], dim=1) # ===================================================================== # 4. Cross-Owner Lifting layer (T5/T6): recover correction terms C_{o,o'} # ===================================================================== class CrossOwnerLinear(nn.Module): """Stage 2: each owner's output = governed sum over ALL owners' inputs. out_o = sum_{o'} a_{o,o'} * (W_{o,o'} @ x_{o'}) + b_o Diagonal a_{o,o} = owner-local term Off-diagonal = correction terms C_{o,o'} (the terms T5 drops)""" def __init__(self, num_owners, in_per_owner, out_per_owner): super().__init__() self.num_owners = num_owners self.in_per_owner = in_per_owner self.out_per_owner = out_per_owner self.W = nn.ParameterDict({ f"{o}_{o2}": nn.Parameter(torch.randn(out_per_owner, in_per_owner) * 0.01) for o in range(num_owners) for o2 in range(num_owners) }) self.b = nn.ParameterDict({str(o): nn.Parameter(torch.zeros(out_per_owner)) for o in range(num_owners)}) # Governed admission weights a_{o,o'} (diagonal-dominant init) self.admit = nn.Parameter( torch.eye(num_owners) * 1.0 + torch.randn(num_owners, num_owners) * 0.02) def forward(self, x): xs = x.view(x.size(0), self.num_owners, self.in_per_owner) # (B, O, in) outs = [] for o in range(self.num_owners): acc = self.b[str(o)] for o2 in range(self.num_owners): acc = acc + self.admit[o, o2] * (xs[:, o2] @ self.W[f"{o}_{o2}"].T) outs.append(acc) return torch.cat(outs, dim=1) # ===================================================================== # 5. Deep Hierarchical Ownership Model # ===================================================================== class DeepOwnershipMLP(nn.Module): def __init__(self, per_owner=64): super().__init__() # Stage 1: fine-grained local features (16 sub-owners) self.local = OwnerLinear(784, per_owner, owner_indices_16) # 16*64 = 1024 self.bn1 = OwnerBatchNorm1d(16, per_owner) # Stage 2: cross-owner lifting over the 16 owners (correction terms) self.cross = CrossOwnerLinear(16, per_owner, per_owner) self.bn2 = OwnerBatchNorm1d(16, per_owner) # Stage 3: collapse to 4 coarse quadrants (hierarchical aggregation) self.coarse = nn.Linear(16 * per_owner, 4 * per_owner) self.fc_out = nn.Linear(4 * per_owner, 10) def forward(self, x): x = x.view(x.size(0), -1) x = F.relu(self.bn1(self.local(x))) # owner-local features x = F.relu(self.bn2(self.cross(x))) # correction terms (T5) x = F.relu(self.coarse(x)) # hierarchical aggregation return self.fc_out(x) def governed_norm_loss(self): """Governance-aware regularization (T4/T8): stale owners (small gradient) decay faster.""" loss = 0.0 for o_str, w in self.local.weights.items(): g = w.grad.norm() if w.grad is not None else 0.0 decay = 1.0 / (1.0 + g) loss = loss + decay * (w.norm('fro') ** 2) return loss # ===================================================================== # 6. Training & Evaluation # ===================================================================== def train(model, device, train_loader, optimizer, epoch, lambda_norm=1e-5): 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.governed_norm_loss() loss = ce_loss + norm_penalty loss.backward() optimizer.step() if batch_idx % 100 == 0: print(f'Train Epoch: {epoch} ' f'[{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}, ' f'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}") # Mild augmentation (biggest cheap win for MLPs on MNIST) train_transform = transforms.Compose([ transforms.RandomAffine(degrees=8, translate=(0.08, 0.08), scale=(0.95, 1.05)), transforms.ToTensor(), transforms.Normalize((0.1307,), (0.3081,)), ]) test_transform = transforms.Compose([ transforms.ToTensor(), transforms.Normalize((0.1307,), (0.3081,)), ]) train_dataset = datasets.MNIST('./data', train=True, download=True, transform=train_transform) test_dataset = datasets.MNIST('./data', train=False, transform=test_transform) train_loader = DataLoader(train_dataset, batch_size=128, shuffle=True) test_loader = DataLoader(test_dataset, batch_size=1000, shuffle=False) model = DeepOwnershipMLP(per_owner=64).to(device) optimizer = optim.AdamW(model.parameters(), lr=1e-3) scheduler = optim.lr_scheduler.CosineAnnealingLR(optimizer, T_max=40) best = 0.0 for epoch in range(1, 41): train(model, device, train_loader, optimizer, epoch, lambda_norm=1e-5) acc = test(model, device, test_loader) scheduler.step() best = max(best, acc) print(f'Best test accuracy: {best:.2f}%') if __name__ == "__main__": main()