Cosine Similarity

The cosine similarity algorithm calculates the cosine of the angle between the query vector and each vector in the database to find the most similar vectors. The cosine similarity is a measure of the angle between two vectors, and it can be calculated using the following formula:

cosine similarity = dot product / (|a| * |b|)

where |a| and |b| are the magnitudes of the two vectors.

The cosine similarity algorithm works by calculating the dot product of the query vector and each vector in the database, and then normalizing the result by the magnitudes of the vectors. The most similar vectors are the ones with the highest cosine similarity.