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Paper · arXiv

Cost Trade-offs in Matrix Inversion Updates for Streaming Outlier Detection

Outlier detection identifies data points that deviate significantly from expected patterns, revealing anomalies that may require special attention. Incorporating online learning further improves accuracy by continuously updating the model to reflect the most recent data. When employing the Christoffel function as an outlier score, online learning requires updating the inverse of a matrix following a rank-k update, given the initial inverse. Surprisingly, there is no consensus on the optimal method for this task. This technical note aims to compare three different updating methods: Direct Inversion (DI), Iterative Sherman-Morrison (ISM), and Woodbury Matrix Identity (WMI), to identify the ...

AuthorsFlorian Grivet, Louise Travé-Massuyès
Primary categorycs.LG
Published17 March 2026
Last updated at source17 March 2026
cs.LGcs.AI
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