import torch import torch.nn as nn import torch.optim as optim import numpy as np # Set deterministic seeds for ML reproducibility torch.manual_seed(369) np.random.seed(369) class AQARIONWorldModel(nn.Module): """ A foundational world model integrating the AQARION Defect Regularizer. """ def __init__(self, obs_dim: int, latent_dim: int, num_clusters: int): super().__init__() # Encoder: Observation -> Continuous Latent Space self.encoder = nn.Sequential( nn.Linear(obs_dim, 64), nn.ReLU(), nn.Linear(64, latent_dim) ) # AQARION Defect Loss Module (from the theoretical foundation) self.defect_regularizer = AQARIONDefectLoss(num_clusters, latent_dim, tau=0.5) # Decoder: Continuous Latent Space -> Reconstructed Observation self.decoder = nn.Sequential( nn.Linear(latent_dim, 64), nn.ReLU(), nn.Linear(64, obs_dim) ) def forward(self, obs_t, obs_t_next): # 1. Encode into continuous latent representations z_t = self.encoder(obs_t) z_t_next = self.encoder(obs_t_next) # 2. Evaluate Differentiable Defect Loss loss_defect, active_clusters = self.defect_regularizer(z_t, z_t_next) # 3. Standard Reconstruction recon_t = self.decoder(z_t) return recon_t, loss_defect, active_clusters def run_ml_reproducibility_benchmark(): print("Initializing AQARION Track 4 ML Benchmark...") # Mock high-dimensional continuous data (e.g., noisy sensors tracking the torus) batch_size, obs_dim, latent_dim, num_clusters = 256, 128, 16, 6 obs_t = torch.randn(batch_size, obs_dim) # Simulate a noisy transition transition_noise = torch.randn(batch_size, obs_dim) * 0.1 obs_t_next = obs_t + transition_noise model = AQARIONWorldModel(obs_dim, latent_dim, num_clusters) optimizer = optim.Adam(model.parameters(), lr=1e-3) # Weight of the AQARION regularizer beta = 10.0 model.train() optimizer.zero_grad() recon_t, loss_defect, clusters = model(obs_t, obs_t_next) # Standard MSE + AQARION Defect Regularization loss_recon = nn.MSELoss()(recon_t, obs_t) total_loss = loss_recon + beta * loss_defect total_loss.backward() optimizer.step() print(f"✅ Epoch 1 - Total Loss: {total_loss.item():.4f}") print(f"🔍 Defect Penalty (||D_P||_F^2): {loss_defect.item():.6f}") print(f"📊 Active Latent Clusters Utilized: {len(torch.unique(clusters))}/{num_clusters}") return { "benchmark": "AQ-ML-TRACK4-DEFECT-LOSS", "initial_defect_loss": float(loss_defect.item()), "status": "PASS" } if __name__ == "__main__": run_ml_reproducibility_benchmark()