arXiv:2507.17291cs.LOcs.AI2025-07

用信念函数扩展概率逻辑程序,更好表达认知不确定性。

Integrating Belief Domains into Probabilistic Logic Programs

  • 引入区间概率的信念函数框架,扩展传统概率逻辑
  • 支持从视觉模型等来源的层级分类不确定性建模
  • 适合需要处理不确定知识的智能系统开发者

在分布语义下的概率逻辑编程是处理不确定推理的主流方法,其优势在于可作为Prolog或Python库实现,已有ProbLog和cplint/PITA两个成熟实现。然而当前分布语义使用点概率,难以表达认知不确定性,例如来自计算机视觉模型的层级分类结果。信念函数通过区间概率推广概率测度,能有效刻画认知不确定性。本文提出基于信念函数的容量逻辑程序(Capacity Logic Programs),将分布语义扩展至包含信念函数,并描述了该新框架在实际应用中的良好性质。

原文摘要 · Abstract (English)

Probabilistic Logic Programming (PLP) under the Distribution Semantics is a leading approach to practical reasoning under uncertainty. An advantage of the Distribution Semantics is its suitability for implementation as a Prolog or Python library, available through two well-maintained implementations, namely ProbLog and cplint/PITA. However, current formulations of the Distribution Semantics use point-probabilities, making it difficult to express epistemic uncertainty, such as arises from, for example, hierarchical classifications from computer vision models. Belief functions generalize probability measures as non-additive capacities, and address epistemic uncertainty via interval probabilities. This paper introduces interval-based Capacity Logic Programs based on an extension of the Distribution Semantics to include belief functions, and describes properties of the new framework that make it amenable to practical applications.

概率逻辑信念函数不确定性建模

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。