English(EN) Affine Tracing: A New Paradigm for Probabilistic Linear Solvers

新框架通过仿射追踪统一概率线性求解器

作者 PulseAugur 编辑部 · [1 个来源] · 2026-11-11 05:00

研究人员引入了“仿射追踪”，这是一个旨在自动化概率线性求解器（PLSs）构建的新颖框架。这一新范式统一了先前不同的PLSs方法，证明了贝叶斯PLSs是非平稳仿射PIMs的一个特例。仿射追踪框架通过从标准的仿射迭代方法自动生成PIM来简化这些求解器的实现，从而能够更有效地计算后验协方差和进行代数简化。 AI

影响这项研究可能会简化概率线性求解器的开发和应用，并可能影响那些依赖线性系统解中不确定性量化的领域，例如高斯过程近似。

排序理由该集群包含一篇学术论文，详细介绍了概率线性求解器领域的新算法框架和理论结果。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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报道来源 [1]

arXiv cs.LG TIER_1 English(EN) · Disha Hegde, Marvin Pf\"ortner, Jon Cockayne · 2026-11-11 05:00

仿射追踪：概率线性求解器的新范式

arXiv:2605.10566v2 Announce Type: replace-cross Abstract: Probabilistic linear solvers (PLSs) return probability distributions that quantify uncertainty due to limited computation in the solution of linear systems. The literature has traditionally distinguished between Bayesian P…

本文如何被排名

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仿射追踪：概率线性求解器的新范式

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