同一观察为何结论相异?论文用推理框架解释认知分歧的必然性。
Why Conclusions Diverge from the Same Observations: Formalizing World-Model Non-Identifiability via an Inference
- 提出四要素推理模型θ=(R,E,S,D),解析不同推断设置如何导致结论分化
- 揭示世界模型非唯一性:相同数据下因推理方式差异,学习出不同认知模型
- 适用于理解争议性议题中的认知分歧,尤其适合研究者和政策制定者
当人们共享相同文档与观察却得出不同结论时,常将分歧归咎于对方认知缺陷或恶意。本文指出,这种分歧实为推断与学习中固有的非识别性(non-identifiability)所致。我们将其分为两层:(i) θ-级非识别性——在相同世界模型W下,因推断设置θ不同导致结论分歧;(ii) W-级非识别性——反复使用相同推断设置θ,会引发数据暴露与更新规则偏差,致使学习到的世界模型W本身发生分化。我们引入推理配置θ = (R, E, S, D),即参考、探索、稳定与视野,并证明即使面对相同观察o与相同世界模型W,输出仍可分裂。进一步说明,分歧往往集中于少数维度——抽象/具体、可外化性、秩序/自由,这是学习系统普遍约束(计算、观测、协调)的自然结果。最后,该框架与深度表征学习中的表征层次、隐状态估计及正则化-探索权衡相关联,并以人工智能治理争论为例进行验证。
原文摘要 · Abstract (English)
When people share the same documents and observations yet reach different conclusions, the disagreement often shifts into a judgment that the other party is cognitively defective, irrational, or acting in bad faith. This paper argues that such divergence is better described as a form of non-identifiability inherent in inference and learning, rather than as a defect of the other party. We organize the phenomenon into two levels: (i) $θ$-level non-identifiability, where conclusions diverge under the same world model $W$ because inference settings differ; and (ii) $W$-level non-identifiability, where repeated use of an inference setting $θ$ biases data exposure and update rules, causing the learned world model $W$ itself to diverge. We introduce an inference profile $θ= (R, E, S, D)$, consisting of Reference, Exploration, Stabilization, and Horizon, and show how outputs can split even for the same observation $o$ and the same $W$. We further explain why disagreements tend to project onto a small number of bases -- abstract versus concrete, externalizability, and order versus freedom -- as a consequence of general constraints on learning systems: computational, observational, and coordination constraints. Finally, we relate the framework to deep representation learning, including representation hierarchy, latent-state estimation, and regularization-exploration trade-offs, and illustrate the framework through a case study on AI regulation debates.
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