arXiv:2504.04128cs.AI2025-04被引 1

提出事件条件可信度,让证据评估更懂决策意图

Decision-oriented joint optimization of evidence fusion based on event-conditioned credibility

  • 用事件假设下的条件可信度替代传统对比评估
  • 在真实数据上显著提升正确事件支持度,优于主流方法
  • 适合处理不靠谱或异常证据的决策融合场景

在涉及异构信息源且精度不一、可能存在异常的决策级融合任务中,偏离多数的证据可能是支撑正确决策的关键信息,也可能是误导判断的异常信息。现有可信证据融合方法主要依赖证据间的相互比较来评估可信度,可能导致关键证据被低估。本文提出事件条件可信度,用于刻画证据在不同候选事件假设下的相对可信性。进一步构建面向决策的联合优化模型,将可信度计算、证据融合与事件决策通过候选事件概率耦合起来。该模型可表示为概率单纯形上的连续自映射,采用直接不动点迭代作为默认快速求解器;当直接迭代出现周期轨道时,则使用基于Kuhn单纯形搜索的网格相关近似不动点解法。还提出一种可能性-信念算术-几何发散度以计算事件条件可信度。数值实验表明,所提方法得到的证据可信度排序更能反映其对真实事件的贡献,并显著增强对正确事件的支持,优于代表性可信证据融合方法。蒙特卡洛测试进一步显示,在多种设置下具有高经验不动点收敛率。

原文摘要 · Abstract (English)

In decision-level fusion tasks involving heterogeneous sources with unequal precision and potential anomalies, evidence deviating from the majority may be either critical evidence supporting the correct decision or anomalous evidence supporting an incorrect event. Existing credible evidence fusion methods primarily assess credibility through inter-evidence comparisons and may consequently underestimate critical evidence. This paper proposes event-conditioned credibility to characterize the relative credibility of evidence under different candidate-event hypotheses. A decision-oriented joint optimization model then couples credibility calculation, evidence fusion, and event decision through candidate-event probabilities. The model is expressed as a continuous self-mapping on the probability simplex. A direct fixed-point iteration provides the default fast solver, while a Kuhn simplicial search supplies a mesh-dependent approximate fixed point if the direct iteration forms a periodic orbit. A plausibility--belief arithmetic--geometric divergence is further proposed to calculate event-conditioned credibility. Numerical experiments show that the proposed method gives credibility rankings that better reflect the contribution of evidence to the ground truth and provides greater support for the correct event than representative credible evidence fusion methods. Monte Carlo tests additionally demonstrate a high empirical fixed-point attainment rate over the tested settings.

证据融合可信度评估决策优化

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