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| """ | |
| Coherence Monitoring and Self-Reflection Module | |
| This module implements the coherence assessment and self-reflection mechanisms | |
| that are central to the toroidal diffusion model architecture. | |
| """ | |
| import torch | |
| import torch.nn as nn | |
| import torch.nn.functional as F | |
| import numpy as np | |
| from typing import Dict, List, Tuple, Optional | |
| from collections import deque | |
| class CoherenceMetrics: | |
| """ | |
| Computes various coherence metrics for assessing generation quality. | |
| """ | |
| def semantic_coherence(features: torch.Tensor, window_size: int = 3) -> torch.Tensor: | |
| """ | |
| Compute semantic coherence based on local feature consistency. | |
| Args: | |
| features: Feature tensor of shape (batch, channels, height, width) | |
| window_size: Size of the local window for coherence computation | |
| Returns: | |
| coherence: Semantic coherence score | |
| """ | |
| batch_size, channels, height, width = features.shape | |
| # Compute local variance within windows | |
| kernel = torch.ones(1, 1, window_size, window_size, device=features.device) / (window_size ** 2) | |
| # Mean within windows | |
| local_mean = F.conv2d(features, kernel.repeat(channels, 1, 1, 1), | |
| groups=channels, padding=window_size//2) | |
| # Variance within windows | |
| local_var = F.conv2d((features - local_mean) ** 2, kernel.repeat(channels, 1, 1, 1), | |
| groups=channels, padding=window_size//2) | |
| # Coherence is inverse of variance (lower variance = higher coherence) | |
| coherence = 1.0 / (1.0 + local_var.mean(dim=1, keepdim=True)) | |
| return coherence | |
| def structural_coherence(features: torch.Tensor) -> torch.Tensor: | |
| """ | |
| Compute structural coherence based on gradient consistency. | |
| Args: | |
| features: Feature tensor | |
| Returns: | |
| coherence: Structural coherence score | |
| """ | |
| # Compute gradients | |
| grad_x = torch.diff(features, dim=3, prepend=features[:, :, :, -1:]) | |
| grad_y = torch.diff(features, dim=2, prepend=features[:, :, -1:, :]) | |
| # Gradient magnitude | |
| grad_mag = torch.sqrt(grad_x ** 2 + grad_y ** 2) | |
| # Coherence based on gradient smoothness | |
| grad_smoothness = 1.0 / (1.0 + torch.std(grad_mag, dim=1, keepdim=True)) | |
| return grad_smoothness | |
| def temporal_coherence(features_sequence: List[torch.Tensor]) -> torch.Tensor: | |
| """ | |
| Compute temporal coherence across a sequence of features. | |
| Args: | |
| features_sequence: List of feature tensors from different timesteps | |
| Returns: | |
| coherence: Temporal coherence score | |
| """ | |
| if len(features_sequence) < 2: | |
| return torch.ones_like(features_sequence[0][:, :1]) | |
| # Compute frame-to-frame differences | |
| temporal_diffs = [] | |
| for i in range(1, len(features_sequence)): | |
| diff = torch.abs(features_sequence[i] - features_sequence[i-1]) | |
| temporal_diffs.append(diff.mean(dim=1, keepdim=True)) | |
| # Average temporal difference | |
| avg_temporal_diff = torch.stack(temporal_diffs).mean(dim=0) | |
| # Coherence is inverse of temporal variation | |
| temporal_coherence = 1.0 / (1.0 + avg_temporal_diff) | |
| return temporal_coherence | |
| class SelfReflectionModule(nn.Module): | |
| """ | |
| Implements self-reflection mechanisms for the toroidal diffusion model. | |
| This module analyzes the current generation state and provides feedback | |
| for improving coherence and quality. | |
| """ | |
| def __init__(self, feature_dim: int, reflection_depth: int = 3): | |
| super().__init__() | |
| self.feature_dim = feature_dim | |
| self.reflection_depth = reflection_depth | |
| # Reflection network layers | |
| num_groups = min(8, feature_dim) if feature_dim >= 8 else 1 | |
| self.reflection_layers = nn.ModuleList([ | |
| nn.Sequential( | |
| nn.Conv2d(feature_dim, feature_dim, 3, padding=1), | |
| nn.GroupNorm(num_groups, feature_dim), | |
| nn.SiLU(), | |
| nn.Conv2d(feature_dim, feature_dim, 3, padding=1), | |
| nn.GroupNorm(num_groups, feature_dim), | |
| nn.SiLU() | |
| ) for _ in range(reflection_depth) | |
| ]) | |
| # Coherence assessment head | |
| self.coherence_head = nn.Sequential( | |
| nn.Conv2d(feature_dim, feature_dim // 2, 1), | |
| nn.SiLU(), | |
| nn.Conv2d(feature_dim // 2, 1, 1), | |
| nn.Sigmoid() | |
| ) | |
| # Correction suggestion head | |
| self.correction_head = nn.Sequential( | |
| nn.Conv2d(feature_dim, feature_dim, 3, padding=1), | |
| nn.GroupNorm(num_groups, feature_dim), | |
| nn.SiLU(), | |
| nn.Conv2d(feature_dim, feature_dim, 3, padding=1) | |
| ) | |
| def analyze_coherence(self, features: torch.Tensor) -> Dict[str, torch.Tensor]: | |
| """ | |
| Analyze the coherence of current features. | |
| Args: | |
| features: Input feature tensor | |
| Returns: | |
| analysis: Dictionary containing coherence metrics | |
| """ | |
| semantic_coh = CoherenceMetrics.semantic_coherence(features) | |
| structural_coh = CoherenceMetrics.structural_coherence(features) | |
| # Overall coherence score | |
| overall_coherence = self.coherence_head(features) | |
| return { | |
| 'semantic_coherence': semantic_coh, | |
| 'structural_coherence': structural_coh, | |
| 'overall_coherence': overall_coherence, | |
| 'mean_coherence': (semantic_coh + structural_coh + overall_coherence) / 3 | |
| } | |
| def generate_corrections(self, features: torch.Tensor, coherence_analysis: Dict[str, torch.Tensor]) -> torch.Tensor: | |
| """ | |
| Generate correction suggestions based on coherence analysis. | |
| Args: | |
| features: Input feature tensor | |
| coherence_analysis: Coherence analysis results | |
| Returns: | |
| corrections: Suggested corrections to improve coherence | |
| """ | |
| # Weight corrections by coherence deficiency | |
| coherence_weight = 1.0 - coherence_analysis['mean_coherence'] | |
| # Generate corrections | |
| corrections = self.correction_head(features) | |
| # Apply coherence-weighted corrections | |
| weighted_corrections = corrections * coherence_weight | |
| return weighted_corrections | |
| def reflect(self, features: torch.Tensor) -> Dict[str, torch.Tensor]: | |
| """ | |
| Perform self-reflection on the current features. | |
| Args: | |
| features: Input feature tensor | |
| Returns: | |
| reflection_result: Dictionary containing analysis and corrections | |
| """ | |
| # Multi-layer reflection | |
| reflected_features = features | |
| for layer in self.reflection_layers: | |
| reflected_features = layer(reflected_features) + reflected_features # Residual connection | |
| # Analyze coherence | |
| coherence_analysis = self.analyze_coherence(reflected_features) | |
| # Generate corrections | |
| corrections = self.generate_corrections(reflected_features, coherence_analysis) | |
| return { | |
| 'reflected_features': reflected_features, | |
| 'coherence_analysis': coherence_analysis, | |
| 'corrections': corrections, | |
| 'original_features': features | |
| } | |
| def forward(self, features: torch.Tensor) -> Dict[str, torch.Tensor]: | |
| """ | |
| Forward pass performing self-reflection. | |
| Args: | |
| features: Input feature tensor | |
| Returns: | |
| reflection_result: Self-reflection results | |
| """ | |
| return self.reflect(features) | |
| class MultiPassRefinement(nn.Module): | |
| """ | |
| Implements multi-pass refinement mechanism for iterative improvement. | |
| This module performs multiple passes of generation and refinement, | |
| using self-reflection to guide the improvement process. | |
| """ | |
| def __init__(self, feature_dim: int, max_passes: int = 3, coherence_threshold: float = 0.8): | |
| super().__init__() | |
| self.feature_dim = feature_dim | |
| self.max_passes = max_passes | |
| self.coherence_threshold = coherence_threshold | |
| # Self-reflection module | |
| self.reflection_module = SelfReflectionModule(feature_dim) | |
| # Refinement network | |
| num_groups = min(8, feature_dim) if feature_dim >= 8 else 1 | |
| self.refinement_net = nn.Sequential( | |
| nn.Conv2d(feature_dim * 2, feature_dim, 3, padding=1), # features + corrections | |
| nn.GroupNorm(num_groups, feature_dim), | |
| nn.SiLU(), | |
| nn.Conv2d(feature_dim, feature_dim, 3, padding=1), | |
| nn.GroupNorm(num_groups, feature_dim), | |
| nn.SiLU(), | |
| nn.Conv2d(feature_dim, feature_dim, 3, padding=1) | |
| ) | |
| # History tracking | |
| self.coherence_history = deque(maxlen=max_passes) | |
| def should_continue_refinement(self, coherence_score: float, pass_num: int) -> bool: | |
| """ | |
| Determine if refinement should continue. | |
| Args: | |
| coherence_score: Current coherence score | |
| pass_num: Current pass number | |
| Returns: | |
| should_continue: Whether to continue refinement | |
| """ | |
| # Stop if coherence threshold is reached | |
| if coherence_score >= self.coherence_threshold: | |
| return False | |
| # Stop if maximum passes reached | |
| if pass_num >= self.max_passes: | |
| return False | |
| # Stop if coherence is not improving | |
| if len(self.coherence_history) >= 2: | |
| recent_improvement = self.coherence_history[-1] - self.coherence_history[-2] | |
| if recent_improvement < 0.01: # Minimal improvement threshold | |
| return False | |
| return True | |
| def refine_features(self, features: torch.Tensor, corrections: torch.Tensor) -> torch.Tensor: | |
| """ | |
| Apply refinement to features using corrections. | |
| Args: | |
| features: Input features | |
| corrections: Correction suggestions | |
| Returns: | |
| refined_features: Refined feature tensor | |
| """ | |
| # Concatenate features and corrections | |
| combined = torch.cat([features, corrections], dim=1) | |
| # Apply refinement network | |
| refinement = self.refinement_net(combined) | |
| # Apply refinement with residual connection | |
| refined_features = features + refinement | |
| return refined_features | |
| def forward(self, initial_features: torch.Tensor) -> Dict[str, torch.Tensor]: | |
| """ | |
| Perform multi-pass refinement. | |
| Args: | |
| initial_features: Initial feature tensor | |
| Returns: | |
| refinement_result: Dictionary containing refinement results | |
| """ | |
| current_features = initial_features | |
| pass_num = 0 | |
| refinement_history = [] | |
| # Clear history for new refinement session | |
| self.coherence_history.clear() | |
| while True: | |
| # Perform self-reflection | |
| reflection_result = self.reflection_module(current_features) | |
| # Extract coherence score | |
| coherence_score = reflection_result['coherence_analysis']['mean_coherence'].mean().item() | |
| self.coherence_history.append(coherence_score) | |
| # Store history | |
| refinement_history.append({ | |
| 'pass': pass_num, | |
| 'features': current_features.clone(), | |
| 'coherence_score': coherence_score, | |
| 'reflection_result': reflection_result | |
| }) | |
| # Check if refinement should continue | |
| if not self.should_continue_refinement(coherence_score, pass_num): | |
| break | |
| # Apply refinement | |
| corrections = reflection_result['corrections'] | |
| current_features = self.refine_features(current_features, corrections) | |
| pass_num += 1 | |
| return { | |
| 'final_features': current_features, | |
| 'initial_features': initial_features, | |
| 'refinement_history': refinement_history, | |
| 'total_passes': pass_num + 1, | |
| 'final_coherence': coherence_score | |
| } | |
| def test_coherence_monitoring(): | |
| """Test function for coherence monitoring components.""" | |
| print("Testing Coherence Monitoring and Self-Reflection...") | |
| # Create test features | |
| batch_size, channels, height, width = 2, 64, 32, 32 | |
| test_features = torch.randn(batch_size, channels, height, width) | |
| # Test coherence metrics | |
| semantic_coh = CoherenceMetrics.semantic_coherence(test_features) | |
| structural_coh = CoherenceMetrics.structural_coherence(test_features) | |
| print(f"Semantic coherence shape: {semantic_coh.shape}") | |
| print(f"Structural coherence shape: {structural_coh.shape}") | |
| print(f"Semantic coherence mean: {semantic_coh.mean().item():.4f}") | |
| print(f"Structural coherence mean: {structural_coh.mean().item():.4f}") | |
| # Test temporal coherence | |
| feature_sequence = [torch.randn(batch_size, channels, height, width) for _ in range(5)] | |
| temporal_coh = CoherenceMetrics.temporal_coherence(feature_sequence) | |
| print(f"Temporal coherence shape: {temporal_coh.shape}") | |
| print(f"Temporal coherence mean: {temporal_coh.mean().item():.4f}") | |
| # Test self-reflection module | |
| reflection_module = SelfReflectionModule(channels) | |
| reflection_result = reflection_module(test_features) | |
| print(f"Reflected features shape: {reflection_result['reflected_features'].shape}") | |
| print(f"Corrections shape: {reflection_result['corrections'].shape}") | |
| print(f"Overall coherence mean: {reflection_result['coherence_analysis']['overall_coherence'].mean().item():.4f}") | |
| # Test multi-pass refinement | |
| refinement_module = MultiPassRefinement(channels, max_passes=3, coherence_threshold=0.9) | |
| refinement_result = refinement_module(test_features) | |
| print(f"Final features shape: {refinement_result['final_features'].shape}") | |
| print(f"Total passes: {refinement_result['total_passes']}") | |
| print(f"Final coherence: {refinement_result['final_coherence']:.4f}") | |
| print(f"Refinement history length: {len(refinement_result['refinement_history'])}") | |
| print("All coherence monitoring tests passed!") | |
| if __name__ == "__main__": | |
| test_coherence_monitoring() | |