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English(EN) The Normalized Maximum Likelihood for Regular Non-Smooth Models: Measure-Theoretic Foundations and Geometric Sampling

新框架计算非光滑机器学习模型的 NML

研究人员开发了一个新的理论框架,用于计算现代机器学习中常见的非光滑模型的归一化最大似然 (NML)。该方法利用几何测度论和自动微分来确保理论一致性。为了实现这一点,他们引入了一种新的几何 MCMC 算法,称为 Propose-and-Project Metropolis-Hastings (PDL-PPMH),该算法可以导航不可微的水平集。该方法被证明是交叉验证的一种数据高效替代方案,在无需分割数据的情况下实现了可比的预测性能。 AI

影响 为评估非光滑机器学习模型提供了更稳健的理论基础,有望提高模型选择和数据效率。

排序理由 学术论文,介绍了一种用于机器学习模型的新理论框架和计算方法。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

AI 生成摘要 · Google Gemini · 来自 1 个来源。 我们如何撰写摘要 →

新框架计算非光滑机器学习模型的 NML

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学术论文,介绍了一种用于机器学习模型的新理论框架和计算方法。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Trenton Lau, Gary P. T. Choi ·

    正则化非光滑模型的归一化最大似然:测度论基础与几何采样

    arXiv:2605.24477v1 Announce Type: new Abstract: The Normalized Maximum Likelihood (NML) codelength, or stochastic complexity, represents a principled criterion for universal coding. While recent coarea-based formulations provided a calculation method for smooth models, this frame…