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Foundations of Vector Retrieval

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arxiv 2401.09350 v1 pith:GC4ODBO2 submitted 2024-01-17 cs.DS cs.IR

classification cs.DScs.IR
keywords dataretrievalvectorvectorsquestionaboveadvancedalgorithms
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Vectors are universal mathematical objects that can represent text, images, speech, or a mix of these data modalities. That happens regardless of whether data is represented by hand-crafted features or learnt embeddings. Collect a large enough quantity of such vectors and the question of retrieval becomes urgently relevant: Finding vectors that are more similar to a query vector. This monograph is concerned with the question above and covers fundamental concepts along with advanced data structures and algorithms for vector retrieval. In doing so, it recaps this fascinating topic and lowers barriers of entry into this rich area of research.

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Cited by 1 Pith paper

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  1. Aligning LLMs for the Classroom with Knowledge-Based Retrieval -- A Comparative RAG Study

    cs.AI 2025-09 conditional novelty 5.0 of 10

    In classroom question-answering, vector RAG (OpenAI) excels at fact lookup, GraphRAG Global at thematic questions, and GraphRAG Local at dense altered textbooks; a simple query router combines their strengths.

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