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Definition

Euclidean Distance

Euclidean Distance is a mathematical metric measuring the straight-line distance between two coordinates in Euclidean space. In vector search, it is used to measure the similarity between two embedding vectors.

Frequently Asked Questions

How does Euclidean distance compare with Cosine Similarity?

Euclidean distance measures absolute coordinate spacing. Cosine similarity measures coordinate direction alignment, ignoring vector length.

What is the formula for Euclidean distance?

The square root of the sum of squared differences between coordinate dimensions: `d = sqrt(sum((q_i - d_i)^2))`.

Quick Facts

  • CategoryMathematical Foundations
  • Key ApplicationClustering algorithms, nearest neighbor vector indexing, and distance checks.

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