RagAI Technical Publications

Insights on Retrieval AI & Neural Media

Explore architectural breakdowns, hybrid vector search algorithms, optical document layout normalization, and production AI engineering.

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Vector Embeddings Decoded: Cosine Similarity, HNSW, and High-Dimensional Spaces
Machine Learning & Math
6 min read•Sep 11, 2026

Vector Embeddings Decoded: Cosine Similarity, HNSW, and High-Dimensional Spaces

Demystifying the linear algebra and indexing algorithms powering modern AI retrieval. Explore high-dimensional vector geometries, mathematical differences between Euclidean distance and Cosine similarity, and how Hierarchical Navigable Small World (HNSW) graphs achieve logarithmic search speed across millions of vectors in production.

RagAI Engineering Team
RagAI Engineering Team
Principal Applied Mathematician
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