Metric Algebra: Embedding-Independence in Vector Databases
Summary: Metric algebra makes cross-embedding search well-defined by modeling datasets as metric relations and defining semantics-preserving Union across vector spaces. MetricDB realizes Union through learned witness maps, planning for imperfect mappings and reusing indexes without re-embedding or rebuilding. (summarized by gpt-6-luna on Oct 22 2026)
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Authors
- 1. Tianjian Yang (University of Edinburgh)
- 2. Yang Cao (University of Edinburgh)
- 3. Beining Yang (University of Edinburgh)
- 4. Ziying Chen (University of Edinburgh)
- 5. Tiejun Ma (University of Edinburgh)
BibTeX Citation
@inproceedings{yang_sigmod27,
title = {{Metric Algebra: Embedding-Independence in Vector Databases}},
author = {Yang, Tianjian and Cao, Yang and Yang, Beining and Chen, Ziying and Ma, Tiejun},
series = {{SIGMOD} '27},
booktitle = {Proceedings of the {ACM} {SIGMOD} International Conference on Management of Data},
publisher = {Association for Computing Machinery},
doi = {10.1145/3837117},
url = {https://dl.acm.org/doi/10.1145/3837117},
year = {2027}
}
Incoming Citations (Sorted by Pagerank)
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Outgoing Citations (Sorted by Pagerank)
Showing 6 of 6 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 24 | Data Integration: A Theoretical Perspective | 2002 | PODS | 0.00055201845 |
| 181 | Milvus: A Purpose-Built Vector Data Management System | 2021 | SIGMOD | 0.00026425782 |
| 325 | AnalyticDB-V: A Hybrid Analytical Engine Towards Query Fusion for Structured and Unstructured Data | 2020 | VLDB | 0.00020930941 |
| 1,280 | Manu: A Cloud Native Vector Database Management System | 2022 | VLDB | 0.00011199537 |
| 1,797 | SingleStore-V: An Integrated Vector Database System in SingleStore | 2024 | VLDB | 9.6056634e-05 |
| 6,480 | Integrating Vector Databases across Embedding Models | 2026 | SIGMOD | 5.753826e-05 |
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