{"type":"analysis","id":"analysis:research-hyperbolic-search-in-milvus-works-with-a-sign-flip-centering-the-documents","slug":"research-hyperbolic-search-in-milvus-works-with-a-sign-flip-centering-the-documents","title":"Hyperbolic search in Milvus works with a sign flip; centering the documents decides whether it survives the index","description":"Milvus says Lorentz-model embeddings can be searched exactly with plain inner product: negate the query's first coordinate. It also says subtracting the corpus mean \"height\" from documents keeps recall high under HNSW, IVF and fp16. The math checks out and is already in the literature. The recall numbers come from the vendor, cover one model, and get worse on PQ.","published_at":"2026-10-21T21:00:00.000Z","updated_at":"2026-10-21T21:00:00.000Z","record_date":"2026-10-21","topics":["search","research"],"source_urls":["https://arxiv.org/html/2602.07739v2","https://arxiv.org/abs/2602.07739","https://arxiv.org/html/2601.23064v1","https://milvus.io/blog/your-vector-database-already-speaks-hyperbolic.md","https://qdrant.tech/articles/hyperbolic-embeddings-qdrant/","https://arxiv.org/abs/2608.29313","https://huggingface.co/hyper3labs/hyper3-clip-v1","https://milvus.io/docs/metric.md"],"language":"en","routes":{"html":"https://newruntime.com/analysis/research-hyperbolic-search-in-milvus-works-with-a-sign-flip-centering-the-documents/","markdown":"https://newruntime.com/analysis/research-hyperbolic-search-in-milvus-works-with-a-sign-flip-centering-the-documents.md","json":"https://newruntime.com/analysis/research-hyperbolic-search-in-milvus-works-with-a-sign-flip-centering-the-documents.json"},"author":{"role":"author","name":"Andrey Reshetnikov","profile":"https://newruntime.com/owner-profile.md","profile_json":"https://newruntime.com/owner-profile.json","same_as":["https://www.linkedin.com/in/reshetnikov1/","https://t.me/lapetuse"]},"editorial_provenance":{"desk":"authorial","target_ref":"deep_research:ff9cc812-161c-4fd9-9aec-8cf05bd3ce2f","authorial_article_id":"ff9cc812-161c-4fd9-9aec-8cf05bd3ce2f"},"next_reads":[{"type":"topic","path":"/topics/search/","url":"https://newruntime.com/topics/search/","title":"Search","reason":"Explore the search topic hub.","media_type":"text/html","markdown_url":"https://newruntime.com/topics/search.md","json_url":"https://newruntime.com/topics/search.json"},{"type":"topic","path":"/topics/research/","url":"https://newruntime.com/topics/research/","title":"Research","reason":"Explore the research topic hub.","media_type":"text/html","markdown_url":"https://newruntime.com/topics/research.md","json_url":"https://newruntime.com/topics/research.json"},{"type":"collection","path":"/analysis/","url":"https://newruntime.com/analysis/","title":"Analysis","reason":"Open the latest authorial analysis.","media_type":"text/html","json_url":"https://newruntime.com/analysis.json"},{"type":"collection","path":"/source-ledger.json","url":"https://newruntime.com/source-ledger.json","title":"Source Ledger","reason":"Inspect the public source evidence graph.","media_type":"application/json"}]}