English(EN) Domain size asymptotics for Markov logic networks

新研究探讨马尔可夫逻辑网络的渐近性

作者 PulseAugur 编辑部 · [1 个来源] · 2026-05-28 04:00

研究人员分析了马尔可夫逻辑网络（MLNs）在域大小趋近于无穷时的渐近行为。研究表明，在温和假设下，具有正权重软约束的MLNs在足够大的域中将与均匀分布产生分歧。对于具有一元关系符号的语言，该研究对MLN的渐近行为进行了刻画，表明MLNs和提升贝叶斯网络可以定义不同的结构分布。 AI

排序理由这是一篇发表在arXiv上的研究论文，详细介绍了马尔可夫逻辑网络的理论分析。[lever_c_demoted from research: ic=1 ai=1.0]

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arXiv cs.AI TIER_1 English(EN) · Vera Koponen · 2026-05-28 04:00

马尔可夫逻辑网络的域大小渐近线

arXiv:2509.04192v2 Announce Type: replace Abstract: A Markov logic network (MLN) $\mathbb{M}$ determines a probability distribution $\mathbb{P}_n^\mathbb{M}$ on the set $\mathbf{W}_n$ of structures, or ``possible worlds'', with domain $\{1, \ldots, n\}$. We study the properties o…