English(EN) Equivalence Between Nested Gibbs Measures and Log-Linear Combinations of Gibbs Measures

新研究探讨机器学习和联邦学习中的吉布斯测度

作者 PulseAugur 编辑部 · [1 个来源] · 2026-09-18 04:00

本文探讨了三种与机器学习相关的吉布斯概率测度运算。它详细介绍了重整化、归一化对数线性组合和嵌套吉布斯测度如何生成新的吉布斯测度。研究表明，这些运算可以解决涉及目标函数线性组合的优化问题，并应用于联邦学习等领域，其中一次性系统可以实现与聚合本地训练数据集相媲美的性能。 AI

影响引入了用于组合和操作概率模型的新数学框架，有可能改进联邦学习和其他统计学习应用。

排序理由学术论文，详细介绍了具有机器学习应用的吉布斯测度的新颖运算。[lever_c_demoted from research: ic=1 ai=1.0]

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arXiv stat.ML TIER_1 English(EN) · Yaiza Bermudez, Samir M. Perlaza, I\~naki Esnaola · 2026-09-18 04:00

嵌套吉布斯测度与吉布斯测度对数线性组合之间的等价性

arXiv:2609.19988v1 Announce Type: cross Abstract: In this paper, three operations on Gibbs probability measures are studied. The first operation, often referred to as renormalization, takes one Gibbs probability measure and generates a new Gibbs measure by normalizing a power of …