| |
| |
| |
|
|
| def alphamix_data(x, y, alpha_range=(0.3, 0.7), spatial_ratio=0.25): |
| """ |
| Standard AlphaMix: Single spatially localized transparent overlay. |
| """ |
| batch_size = x.size(0) |
| index = torch.randperm(batch_size, device=x.device) |
| |
| y_a, y_b = y, y[index] |
| |
| |
| alpha_min, alpha_max = alpha_range |
| beta_sample = torch.distributions.Beta(2.0, 2.0).sample().item() |
| alpha = alpha_min + (alpha_max - alpha_min) * beta_sample |
| |
| |
| _, _, H, W = x.shape |
| overlay_ratio = torch.sqrt(torch.tensor(spatial_ratio)).item() |
| overlay_h = int(H * overlay_ratio) |
| overlay_w = int(W * overlay_ratio) |
| |
| top = torch.randint(0, H - overlay_h + 1, (1,), device=x.device).item() |
| left = torch.randint(0, W - overlay_w + 1, (1,), device=x.device).item() |
| |
| |
| composited_x = x.clone() |
| overlay_region = alpha * x[:, :, top:top+overlay_h, left:left+overlay_w] |
| background_region = (1 - alpha) * x[index, :, top:top+overlay_h, left:left+overlay_w] |
| composited_x[:, :, top:top+overlay_h, left:left+overlay_w] = overlay_region + background_region |
| |
| return composited_x, y_a, y_b, alpha |
|
|
|
|
| def alphamix_fractal( |
| x: torch.Tensor, |
| y: torch.Tensor, |
| alpha_range=(0.3, 0.7), |
| steps_range=(1, 3), |
| triad_scales=(1/3, 1/9, 1/27), |
| beta_shape=(2.0, 2.0), |
| seed: int | None = None, |
| ): |
| """ |
| Fractal AlphaMix: Triadic multi-patch overlays aligned to Cantor geometry. |
| Pure torch, GPU-compatible. |
| """ |
| if seed is not None: |
| torch.manual_seed(seed) |
| |
| B, C, H, W = x.shape |
| device = x.device |
| |
| |
| idx = torch.randperm(B, device=device) |
| y_a, y_b = y, y[idx] |
| |
| x_mix = x.clone() |
| total_area = H * W |
| |
| |
| k1, k2 = beta_shape |
| beta_dist = torch.distributions.Beta(k1, k2) |
| alpha_min, alpha_max = alpha_range |
| |
| |
| alpha_elems = [] |
| area_weights = [] |
| |
| |
| steps = torch.randint(steps_range[0], steps_range[1] + 1, (1,), device=device).item() |
| |
| for _ in range(steps): |
| |
| scale_idx = torch.randint(0, len(triad_scales), (1,), device=device).item() |
| scale = triad_scales[scale_idx] |
| |
| |
| patch_area = max(1, int(total_area * scale)) |
| side = int(torch.sqrt(torch.tensor(patch_area, dtype=torch.float32)).item()) |
| h = max(1, min(H, side)) |
| w = max(1, min(W, side)) |
| |
| |
| top = torch.randint(0, H - h + 1, (1,), device=device).item() |
| left = torch.randint(0, W - w + 1, (1,), device=device).item() |
| |
| |
| alpha_raw = beta_dist.sample().item() |
| alpha = alpha_min + (alpha_max - alpha_min) * alpha_raw |
| |
| |
| alpha_elems.append(alpha) |
| area_weights.append(h * w) |
| |
| |
| fg = alpha * x[:, :, top:top + h, left:left + w] |
| bg = (1 - alpha) * x[idx, :, top:top + h, left:left + w] |
| x_mix[:, :, top:top + h, left:left + w] = fg + bg |
| |
| |
| alpha_t = torch.tensor(alpha_elems, dtype=torch.float32, device=device) |
| area_t = torch.tensor(area_weights, dtype=torch.float32, device=device) |
| alpha_eff = (alpha_t * area_t).sum() / (area_t.sum() + 1e-12) |
| alpha_eff = alpha_eff.item() |
| |
| return x_mix, y_a, y_b, alpha_eff |
|
|
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|
| |
| |
| |
|
|
| class DevilStaircasePE(nn.Module): |
| """Devil's Staircase PE - VECTORIZED for GPU.""" |
| |
| def __init__(self, levels=20, features_per_level=4, smooth_tau=0.25, base=3): |
| super().__init__() |
| self.levels = levels |
| self.features_per_level = features_per_level |
| self.tau = smooth_tau |
| self.base = base |
| |
| self.alpha = nn.Parameter(torch.tensor(0.1)) |
| |
| |
| self.register_buffer('k_range', torch.arange(1, levels + 1, dtype=torch.float32)) |
| self.register_buffer('cantor_powers', 0.5 ** self.k_range) |
| |
| self.base_features = 2 |
| if features_per_level > 2: |
| self.feature_expansion = nn.Linear(self.base_features, features_per_level) |
| else: |
| self.feature_expansion = None |
| |
| def forward(self, positions, seq_len): |
| B = positions.shape[0] |
| device = positions.device |
| |
| x = positions.float() / max(1, (seq_len - 1)) |
| x = x.clamp(1e-6, 1.0 - 1e-6) |
| |
| |
| scales = self.base ** self.k_range.to(device) |
| y = (x.unsqueeze(1) * scales.unsqueeze(0)) % self.base |
| |
| |
| centers = torch.tensor([0.5, 1.5, 2.5], device=device, dtype=x.dtype) |
| d2 = (y.unsqueeze(-1) - centers) ** 2 |
| logits = -d2 / (self.tau + 1e-8) |
| p = F.softmax(logits, dim=-1) |
| |
| |
| bit_k = p[..., 2] + self.alpha * p[..., 1] |
| |
| |
| Cx = (bit_k * self.cantor_powers.to(device).unsqueeze(0)).sum(dim=1) |
| |
| |
| ent = -(p * p.clamp_min(1e-8).log()).sum(dim=-1) |
| pdf_proxy = 1.1 - ent / math.log(3.0) |
| |
| |
| base_feat = torch.stack([bit_k, pdf_proxy], dim=-1) |
| |
| if self.feature_expansion is not None: |
| |
| pe_levels = self.feature_expansion(base_feat) |
| else: |
| pe_levels = base_feat |
| |
| return pe_levels, Cx |
|
|
|
|
| |
| |
| |
|
|
| class GeometricBasinCompatibility(nn.Module): |
| """Compute geometric compatibility scores - 4-factor product.""" |
| |
| def __init__(self, num_classes=100, pe_levels=20, features_per_level=4): |
| super().__init__() |
| |
| self.num_classes = num_classes |
| self.pe_levels = pe_levels |
| self.features_per_level = features_per_level |
| |
| self.class_signatures = nn.Parameter( |
| torch.randn(num_classes, pe_levels, features_per_level) * 0.1 |
| ) |
| |
| self.cantor_prototypes = nn.Parameter( |
| torch.linspace(0.0, 1.0, num_classes) |
| ) |
| |
| self.level_resonance = nn.Parameter( |
| torch.ones(num_classes, pe_levels) / pe_levels |
| ) |
| |
| def forward(self, pe_levels, cantor_measures): |
| B = pe_levels.shape[0] |
| |
| |
| pe_norm = F.normalize(pe_levels, p=2, dim=-1) |
| sig_norm = F.normalize(self.class_signatures, p=2, dim=-1) |
| |
| similarities = torch.einsum('blf,clf->bcl', pe_norm, sig_norm) |
| similarities = (similarities + 1) / 2 |
| |
| resonance = F.softmax(self.level_resonance, dim=-1) |
| triadic_compat = (similarities * resonance.unsqueeze(0)).sum(dim=-1) |
| |
| |
| level_k = pe_levels[:, :-1, :] |
| level_k1 = pe_levels[:, 1:, :] |
|
|
| |
| sim = F.cosine_similarity(level_k, level_k1, dim=-1, eps=1e-8) |
| sim = (sim + 1) / 2 |
| self_sim_pattern = sim |
| |
| expected_patterns = torch.sigmoid( |
| self.level_resonance[:, :-1] - self.level_resonance[:, 1:] |
| ) |
| |
| pattern_diff = torch.abs( |
| self_sim_pattern.unsqueeze(1) - expected_patterns.unsqueeze(0) |
| ) |
| self_sim_compat = 1 - pattern_diff.mean(dim=-1) |
| self_sim_compat = torch.clamp(self_sim_compat, 0.0, 1.0) |
| |
| |
| distances = torch.abs( |
| cantor_measures.unsqueeze(1) - self.cantor_prototypes.unsqueeze(0) |
| ) |
| cantor_compat = torch.exp(-distances ** 2 / 0.1) + 1e-8 |
| |
| |
| split_point = self.pe_levels // 2 |
| early_levels = pe_levels[:, :split_point, :].mean(dim=1) |
| late_levels = pe_levels[:, split_point:, :].mean(dim=1) |
| |
| early_targets = self.class_signatures[:, :split_point, :].mean(dim=1) |
| late_targets = self.class_signatures[:, split_point:, :].mean(dim=1) |
| |
| early_levels_norm = F.normalize(early_levels, p=2, dim=-1) |
| late_levels_norm = F.normalize(late_levels, p=2, dim=-1) |
| early_targets_norm = F.normalize(early_targets, p=2, dim=-1) |
| late_targets_norm = F.normalize(late_targets, p=2, dim=-1) |
| |
| early_compat = torch.matmul(early_levels_norm, early_targets_norm.t()) |
| late_compat = torch.matmul(late_levels_norm, late_targets_norm.t()) |
| |
| early_compat = (early_compat + 1) / 2 |
| late_compat = (late_compat + 1) / 2 |
| hier_compat = (early_compat + late_compat) / 2 |
| |
| |
| eps = 1e-6 |
| triadic_compat = torch.clamp(triadic_compat, eps, 1.0) |
| self_sim_compat = torch.clamp(self_sim_compat, eps, 1.0) |
| cantor_compat = torch.clamp(cantor_compat, eps, 1.0) |
| hier_compat = torch.clamp(hier_compat, eps, 1.0) |
| |
| compatibility_scores = ( |
| triadic_compat * |
| self_sim_compat * |
| cantor_compat * |
| hier_compat |
| ) ** 0.25 |
| |
| return compatibility_scores |
|
|
|
|
| |
| |
| |
|
|
| class GeometricBasinLoss(nn.Module): |
| """Loss supervising geometric basin stability field.""" |
| |
| def __init__(self, temperature=0.1): |
| super().__init__() |
| self.temperature = temperature |
| |
| def forward(self, compatibility_scores, labels, mixed_labels=None, lam=None): |
| batch_size = compatibility_scores.shape[0] |
| |
| if mixed_labels is not None and lam is not None: |
| primary_compat = compatibility_scores[torch.arange(batch_size), labels] |
| secondary_compat = compatibility_scores[torch.arange(batch_size), mixed_labels] |
| |
| primary_loss = F.mse_loss(primary_compat, torch.full_like(primary_compat, lam)) |
| secondary_loss = F.mse_loss(secondary_compat, torch.full_like(secondary_compat, 1 - lam)) |
| |
| soft_targets = torch.zeros_like(compatibility_scores) |
| soft_targets[torch.arange(batch_size), labels] = lam |
| soft_targets[torch.arange(batch_size), mixed_labels] = 1 - lam |
| |
| compat_normalized = compatibility_scores / (compatibility_scores.sum(dim=1, keepdim=True) + 1e-8) |
| kl_loss = F.kl_div( |
| compat_normalized.log(), |
| soft_targets, |
| reduction='batchmean' |
| ) |
| |
| total_loss = primary_loss + secondary_loss + 0.1 * kl_loss |
| |
| else: |
| correct_compat = compatibility_scores[torch.arange(batch_size), labels] |
| correct_loss = -torch.log(correct_compat + 1e-8).mean() |
| |
| mask = torch.ones_like(compatibility_scores) |
| mask[torch.arange(batch_size), labels] = 0 |
| |
| incorrect_compat = compatibility_scores * mask |
| incorrect_loss = torch.log(1 - incorrect_compat + 1e-8).mean() |
| incorrect_loss = -incorrect_loss |
| |
| scaled_scores = compatibility_scores / self.temperature |
| log_probs = F.log_softmax(scaled_scores, dim=1) |
| contrastive_loss = F.nll_loss(log_probs, labels) |
| |
| total_loss = correct_loss + 0.5 * incorrect_loss + 0.5 * contrastive_loss |
| |
| return total_loss |
|
|
|
|
| |
| |
| |
|
|
| class GeometricBasinClassifier(nn.Module): |
| """Geometric basin classifier with ResNet18 backbone + Cantor PE.""" |
| |
| def __init__(self, num_classes=100, pe_levels=20, pe_features_per_level=4, dropout=0.1, pretrained=False): |
| super().__init__() |
| |
| self.num_classes = num_classes |
| self.pe_levels = pe_levels |
| self.pe_features_per_level = pe_features_per_level |
| |
| |
| from torchvision.models import resnet18, ResNet18_Weights |
| if pretrained: |
| resnet = resnet18(weights=ResNet18_Weights.IMAGENET1K_V1) |
| else: |
| resnet = resnet18(weights=None) |
| |
| |
| self.backbone = nn.Sequential( |
| resnet.conv1, |
| resnet.bn1, |
| resnet.relu, |
| resnet.maxpool, |
| resnet.layer1, |
| resnet.layer2, |
| resnet.layer3, |
| resnet.layer4, |
| resnet.avgpool |
| ) |
| |
| |
| self.feature_dim = 512 |
| self.dropout = nn.Dropout(dropout) |
| |
| |
| self.pe = DevilStaircasePE(pe_levels, pe_features_per_level) |
| |
| |
| self.pe_modulator = nn.Sequential( |
| nn.Linear(self.feature_dim, 256), |
| nn.ReLU(), |
| nn.Dropout(dropout), |
| nn.Linear(256, pe_levels * pe_features_per_level) |
| ) |
| |
| |
| self.basin = GeometricBasinCompatibility( |
| num_classes, |
| pe_levels, |
| pe_features_per_level |
| ) |
| |
| def forward(self, x, return_details=False): |
| batch_size = x.shape[0] |
| |
| |
| cnn_features = self.backbone(x) |
| cnn_features = torch.flatten(cnn_features, 1) |
| cnn_features = self.dropout(cnn_features) |
| |
| |
| positions = torch.arange(batch_size, device=x.device) |
| pe_levels, cantor_measures = self.pe(positions, seq_len=batch_size) |
| |
| |
| modulation = self.pe_modulator(cnn_features) |
| modulation = modulation.view(batch_size, self.pe_levels, self.pe_features_per_level) |
| pe_levels = pe_levels + 0.1 * modulation |
| |
| |
| compatibility_scores = self.basin(pe_levels, cantor_measures) |
| |
| if return_details: |
| return { |
| 'compatibility_scores': compatibility_scores, |
| 'pe_levels': pe_levels, |
| 'cantor_measures': cantor_measures, |
| 'cnn_features': cnn_features |
| } |
| |
| return compatibility_scores |
|
|