When comparing video features, the most effective distance metrics depend on the nature of the data and the task. Commonly used metrics include Cosine Similarity, Euclidean Distance, Manhattan Distance, Dynamic Time Warping (DTW), and Earth Mover’s Distance (EMD). Each metric has strengths tailored to specific scenarios, such as handling high-dimensional vectors, temporal alignment, or distribution-based comparisons. The choice often hinges on whether the focus is on direction (e.g., feature orientation), magnitude (e.g., absolute differences), or structural alignment (e.g., time-series variations).
Cosine Similarity is ideal for comparing high-dimensional feature vectors (e.g., embeddings from neural networks) where the orientation, not magnitude, matters. For example, video retrieval systems often use this metric to find clips with similar semantic content. Euclidean Distance (L2 norm) measures straight-line differences between vectors and works well when feature magnitudes are normalized. It’s widely used in clustering tasks, such as grouping similar video frames. Manhattan Distance (L1 norm) is less sensitive to outliers and suits sparse or noisy features, like motion histograms. For temporal sequences, DTW aligns features across varying time lengths—useful in action recognition where actions may occur at different speeds. EMD compares distributions (e.g., color or optical flow histograms) by calculating the cost to transform one into another, making it effective for matching video segments with varying visual characteristics.
Practical considerations include computational efficiency and data characteristics. Cosine and Euclidean are fast for fixed-length vectors but may fail with temporal misalignment. DTW handles variable-length sequences but is computationally heavy. EMD is powerful for distributions but requires significant resources. For example, in a video recommendation system, Cosine Similarity could match user preferences based on aggregated features, while DTW might align specific action sequences in sports analysis. Normalization is critical: use Cosine when feature scales vary, Euclidean when magnitudes are meaningful, and EMD/DTW for structured or sequential data. Choosing the right metric depends on balancing accuracy, interpretability, and runtime constraints for the specific application.