File size: 15,050 Bytes
247545d
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
"""
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.
    """
    
    @staticmethod
    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
    
    @staticmethod
    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
    
    @staticmethod
    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()