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New Krylov methods accelerate mixed-effects model computations

Researchers have developed new Krylov subspace-based methods to significantly speed up computations for generalized mixed-effects models, particularly those with high-dimensional crossed random effects. These new methods offer speedups of several orders of magnitude and improved computational robustness compared to traditional Cholesky decomposition techniques. The proposed methods maintain essentially the same accuracy as existing approaches and are analyzed both theoretically and empirically, with applications to simulated and real-world data. AI

IMPACT These computational advancements could enable more efficient analysis of complex datasets in AI and machine learning research.

RANK_REASON The cluster contains a research paper detailing new computational methods for statistical modeling. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv cs.LG →

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New Krylov methods accelerate mixed-effects model computations

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The cluster contains a research paper detailing new computational methods for statistical modeling. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Pascal K\"undig, Fabio Sigrist ·

    Scalable Krylov Subspace Methods for Generalized Mixed-Effects Models with Crossed Random Effects

    arXiv:2505.09552v4 Announce Type: replace-cross Abstract: Mixed-effects models are widely used to model data with complex grouping structures and high-cardinality categorical predictor variables. However, for high-dimensional crossed random effects, current standard computations …