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Vector space

As explained in Building Reliable AI Systems

A mathematical space whose elements are vectors and in which vector operations are defined.

A vector space is the shared mathematical space where embeddings of documents and queries can be compared. In retrieval-augmented generation, an embedding model maps both into this space so similarity search can surface relevant documents. section 4.0

Figure 4.1 Document embedding in RAG systems
figure

Shows how document text is embedded as vectors for retrieval. section 4.0

Searching health-care policies

A policy assistant embeds policy chunks and a question such as “Is physical therapy covered?” using the same model. Pinecone compares the query vector with stored vectors and returns the closest matches, optionally applying metadata filters. section 4.0 section 4.5.4

How Building Reliable AI Systems covers it

How deep it goes
Connects shared embeddings to similarity search and Pinecone queries without deriving vector-space mathematics.
Examples
Uses a health-care policy chatbot to illustrate retrieval of physical-therapy coverage information.
What you can do after
Apply vector similarity through Pinecone by embedding queries with the document model and retrieving matching records.
How it connects
Links embeddings and vector databases to similarity search in retrieval-augmented generation.

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This explainer was generated by Manning's knowledge graph from the text of Building Reliable AI Systems. The section links point to the parts of the book it draws on.