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New 'Sublinear Power Law' discovered in vector search scalability

Researchers have identified a "Sublinear Power Law" governing the scalability of graph-based vector search, challenging the long-held belief of poly-logarithmic growth. This new law indicates that search cost scales as N^c (where 0<c<1) for smaller datasets relative to their intrinsic dimensionality. The study, which tested various configurations and recall targets, observed a transition to subpolynomial growth only when datasets became sufficiently large. A unifying theory of beam-search cost has been developed to explain these behaviors and predict scaling exponents. AI

IMPACT This research could lead to more efficient vector databases, impacting the performance and cost of AI applications relying on similarity search.

RANK_REASON Academic paper detailing a new theoretical finding about vector search scalability. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New 'Sublinear Power Law' discovered in vector search scalability

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Academic paper detailing a new theoretical finding about vector search scalability. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [2]

  1. arXiv cs.AI TIER_1 English(EN) · Sajad Faghfoor Maghrebi, Navid Eslami, Niv Dayan ·

    A Power Law in Logarithm's Clothing: On the Scalability of Graph-Based Vector Search

    arXiv:2609.02143v1 Announce Type: cross Abstract: Most vector databases rely on graph-based indexes, notably HNSW and Vamana, for approximate nearest neighbor search. With embedding models widely adopted, the datasets these databases store grow rapidly. At a fixed accuracy, how d…

  2. arXiv cs.IR (Information Retrieval) TIER_1 English(EN) · Niv Dayan ·

    A Power Law in Logarithm's Clothing: On the Scalability of Graph-Based Vector Search

    Most vector databases rely on graph-based indexes, notably HNSW and Vamana, for approximate nearest neighbor search. With embedding models widely adopted, the datasets these databases store grow rapidly. At a fixed accuracy, how does search cost scale with dataset size? The preva…