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Large Language Bayes 不是重参数化不变的

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2026-10-02 arXiv 论文指出大语言贝叶斯(LLB)不具备重参数化不变性:基于指数化证据界的加权依赖于模型写法,而对数边际似然具有重参数化不变性、证据界不然。在八所学校中心与非中心程序差异仅 5.7×10⁻¹⁴,但权重相差 6.1×;重要性加权降至 2.2×,复现 LLB 全协方差高斯匹配后验矩仍剩 1.9×(八学校)和 8.9×(64 维)。

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Oct 2, 2026
  1. arXiv · Machine Learning Theory
    Large Language Bayes 不具备重参数化不变性

    论文证明大语言贝叶斯(LLB)基于指数化证据界的加权依赖于模型写法,而对数边际似然具有重参数化不变性、证据界不然。在八所学校中心与非中心程序差异仅 5.7×10⁻¹⁴,但权重相差 6.1×;重要性加权降至 2.2×,复现 LLB 全协方差高斯匹配后验矩仍剩 1.9×(八学校)和 8.9×(64 维)。

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