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Methods for Measuring Similarity between Embeddings

Explore the main techniques for measuring the similarity between vector embeddings, such as Euclidean distance, cosine similarity, and dot product. Understand their characteristics, differences, and appropriate use cases to accurately compare vectors in AI models and applications.

Vector embeddings are often compared using distance metrics, which quantify the difference or similarity between two vectors. Following are the three key similarity measures:

  • Euclidean distance

  • Cosine similarity

  • Dot product

Euclidean distance

Euclidean distance is a measure of the straight-line distance between two points in Euclidean space. In the context of vector embeddings, it quantifies the geometric distance between two vectors in a multi-dimensional space. It is calculated as the square root of the sum of squared differences between the corresponding elements of the two vectors.

Straight line distance between two points (u1, u2) and (v1, v2)
Straight line distance between two points (u1, u2) and (v1, v2)

For two vectors uu and vv of dimension nn, the Euclidean distance is calculated as follows:

Let’s see the syntax to find the Euclidean distance between two embeddings using ...