What is e-Neighborhood

In the case of applying the Euclidean distance, e -neighborhood of a vector u is the set of all vectors that lie within e distance from vector u . In the case of applying the cosine similarity measure, e -neighborhood of a vector u is the set of all vectors such that their cosine similarity to vector u equals at least e .

The Cosine Similarity in Terms of the Euclidean Distance

Marzena Kryszkiewicz (Warsaw University of Technology, Poland)