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7.52 kB
| import torch | |
| import torch.nn.functional as F | |
| import numpy as np | |
| from typing import List, Tuple, Union, Protocol, Callable | |
| from abc import ABC, abstractmethod | |
| class ElementSimilarity(Protocol): | |
| """Protocol for computing similarity between two elements""" | |
| def __call__(self, x: any, y: any) -> float: | |
| ... | |
| class SetSimilarity: | |
| """Calculate similarity metrics between two sets based on element-wise similarity""" | |
| def __init__(self, element_similarity: ElementSimilarity): | |
| self.element_similarity = element_similarity | |
| def compute_similarity_matrix(self, pred_set: List, gt_set: List) -> np.ndarray: | |
| """Compute pairwise similarity matrix between elements of two sets""" | |
| return np.array([ | |
| [self.element_similarity(pred, gt) for gt in gt_set] | |
| for pred in pred_set | |
| ]) | |
| def __call__(self, pred_set: List, gt_set: List) -> Tuple[float, float, float]: | |
| """Compute precision, recall, and F1 between two sets""" | |
| if not pred_set or not gt_set: | |
| return 0.0, 0.0, 0.0 | |
| # Compute similarity matrix | |
| sim_matrix = self.compute_similarity_matrix(pred_set, gt_set) | |
| # For each prediction, get its highest similarity with any ground truth | |
| pred_max_sim = np.max(sim_matrix, axis=1) | |
| precision = np.mean(pred_max_sim) | |
| # Count how many predictions match with ground truths | |
| match_threshold = 1 # Could be parameterized | |
| total_matches = np.sum(pred_max_sim >= match_threshold) | |
| # Apply penalty if there are more matches than ground truths | |
| if total_matches > len(gt_set): | |
| precision *= len(gt_set) / total_matches | |
| # For each ground truth, get its highest similarity with any prediction | |
| recall = np.mean(np.max(sim_matrix, axis=0)) | |
| # Compute F1 | |
| f1 = 2 * precision * recall / (precision + recall) if precision + recall > 0 else 0.0 | |
| return precision, recall, f1 | |
| class TimestampSimilarity: | |
| """Compute similarity between two timestamps""" | |
| def __init__(self, threshold: float = 5.0): | |
| self.threshold = threshold | |
| def __call__(self, t1: float, t2: float) -> float: | |
| """Return 1 if timestamps are within threshold, 0 otherwise""" | |
| return float(abs(t1 - t2) <= self.threshold) | |
| class SSIMSimilarity: | |
| """Compute SSIM similarity between two images. | |
| Assumes input images are in range [0, 255].""" | |
| def __init__(self, window_size: int = 11): | |
| self.window_size = window_size | |
| self._window_cache = {} | |
| self.device = torch.device("cuda" if torch.cuda.is_available() else "cpu") | |
| # Parameters for images in [0, 255] range | |
| self.C1 = (0.01 * 255) ** 2 | |
| self.C2 = (0.03 * 255) ** 2 | |
| def _create_window(self, channel: int) -> torch.Tensor: | |
| """Create a 2D Gaussian window""" | |
| kernel_1d = self._gaussian_kernel() | |
| window_2d = kernel_1d.unsqueeze(1) @ kernel_1d.unsqueeze(0) | |
| return window_2d.expand(channel, 1, self.window_size, self.window_size) | |
| def _gaussian_kernel(self, sigma: float = 1.5) -> torch.Tensor: | |
| """Generate 1D Gaussian kernel""" | |
| coords = torch.arange(self.window_size, dtype=torch.float32) | |
| coords = coords - (self.window_size - 1) / 2 | |
| kernel = torch.exp(-(coords ** 2) / (2 * sigma ** 2)) | |
| return kernel / kernel.sum() | |
| def __call__(self, img1: torch.Tensor, img2: torch.Tensor) -> float: | |
| """Compute SSIM between two images in range [0, 255]""" | |
| if img1.shape != img2.shape: | |
| raise ValueError("Images must have the same shape") | |
| # Move images to device | |
| img1 = img1.to(self.device) | |
| img2 = img2.to(self.device) | |
| if img1.dim() == 3: | |
| img1 = img1.unsqueeze(0) | |
| img2 = img2.unsqueeze(0) | |
| channel = img1.size(1) | |
| if channel not in self._window_cache: | |
| self._window_cache[channel] = self._create_window(channel).to(self.device) | |
| window = self._window_cache[channel] | |
| # Compute means | |
| mu1 = F.conv2d(img1, window, padding=self.window_size//2, groups=channel) | |
| mu2 = F.conv2d(img2, window, padding=self.window_size//2, groups=channel) | |
| mu1_sq, mu2_sq = mu1 ** 2, mu2 ** 2 | |
| mu1_mu2 = mu1 * mu2 | |
| # Compute variances and covariance | |
| sigma1_sq = F.conv2d(img1 ** 2, window, padding=self.window_size//2, groups=channel) - mu1_sq | |
| sigma2_sq = F.conv2d(img2 ** 2, window, padding=self.window_size//2, groups=channel) - mu2_sq | |
| sigma12 = F.conv2d(img1 * img2, window, padding=self.window_size//2, groups=channel) - mu1_mu2 | |
| # Compute SSIM | |
| ssim = ((2 * mu1_mu2 + self.C1) * (2 * sigma12 + self.C2)) / \ | |
| ((mu1_sq + mu2_sq + self.C1) * (sigma1_sq + sigma2_sq + self.C2)) | |
| # Return mean SSIM | |
| return float(ssim.mean()) | |
| class BatchEvaluator: | |
| """Evaluate similarity metrics for a batch of set pairs""" | |
| def __init__(self, set_similarity: SetSimilarity): | |
| self.set_similarity = set_similarity | |
| def __call__(self, pred_sets: List[List], gt_sets: List[List]) -> Tuple[float, float, float]: | |
| """Compute average precision, recall, and F1 across all set pairs""" | |
| if len(pred_sets) != len(gt_sets): | |
| raise ValueError("Number of predicted and ground truth sets must match") | |
| metrics = [ | |
| self.set_similarity(pred_set, gt_set) | |
| for pred_set, gt_set in zip(pred_sets, gt_sets) | |
| ] | |
| avg_precision = np.mean([p for p, _, _ in metrics]) | |
| avg_recall = np.mean([r for _, r, _ in metrics]) | |
| avg_f1 = np.mean([f for _, _, f in metrics]) | |
| return avg_precision, avg_recall, avg_f1 | |
| # Example usage | |
| def main(): | |
| # Example 1: Timestamp similarity | |
| timestamp_sim = TimestampSimilarity(threshold=5.0) | |
| set_sim = SetSimilarity(timestamp_sim) | |
| # Example where we have multiple predictions matching the same ground truth | |
| gt_set = [10.0, 20.0] # Two ground truth timestamps | |
| pred_set = [9.0, 9.5, 10.2, 10.8, 19.8] # Multiple predictions near first GT | |
| p, r, f1 = set_sim(pred_set, gt_set) | |
| print(f"Timestamp Metrics with penalty:") | |
| print(f"P: {p:.3f}, R: {r:.3f}, F1: {f1:.3f}") | |
| # Test batch evaluation | |
| batch_eval = BatchEvaluator(set_sim) | |
| pred_sets = [ | |
| [9.0, 9.5, 10.2, 19.8], # Multiple predictions for first GT | |
| [15.0, 25.0, 25.2] # Multiple predictions for second GT | |
| ] | |
| gt_sets = [ | |
| [10.0, 20.0], | |
| [15.0, 25.0] | |
| ] | |
| p, r, f1 = batch_eval(pred_sets, gt_sets) | |
| print(f"\nBatch Metrics:") | |
| print(f"P: {p:.3f}, R: {r:.3f}, F1: {f1:.3f}") | |
| # Example 2: Image similarity | |
| ssim_sim = SSIMSimilarity() | |
| set_sim_images = SetSimilarity(ssim_sim) | |
| batch_eval_images = BatchEvaluator(set_sim_images) | |
| # Sample image data (assuming torch tensors of shape [C, H, W]) | |
| img1 = (torch.randn(3, 64, 64) * 255).to(torch.uint8).float() | |
| img2 = (torch.randn(3, 64, 64) * 255).to(torch.uint8).float() | |
| pred_sets = [[img1, img2]] | |
| gt_sets = [[img2]] | |
| p, r, f1 = batch_eval_images(pred_sets, gt_sets) | |
| print(f"Image Metrics - P: {p:.3f}, R: {r:.3f}, F1: {f1:.3f}") | |
| if __name__ == "__main__": | |
| main() |