用信息瓶颈理论揭示语义系统高效性与凸性关系
On convexity and efficiency in semantic systems
- 基于信息瓶颈框架分析语义效率与凸性关系
- 最优效率系统多呈凸性，但凸性不保证效率
- 效率比凸性更能区分真实与虚构命名系统
人类语义类别系统普遍被认为具有两个特征：在概念空间中形成凸划分，且具备通信效率。尽管先前研究发现颜色命名中凸性与效率共现，但二者间的解析关系及共现原因尚不明确。本文结合分析与实证方法，在信息瓶颈（IB）框架下研究语义效率。首先表明凸性与效率本质不同：存在非效率的凸系统，也存在非凸但最优高效的系统；然而，在颜色命名领域，IB最优系统大多为凸性，解释了凸性假说的经验基础。其次，效率是区分真实颜色命名系统与假设变体的更强预测因子，凸性在此基础上贡献微弱。最后，我们指出若干凸性无法解释而效率可解释的实证现象。综合来看，虽凸性与效率可能产生相似结构结果，但它们本质不同，效率提供更全面的语义类型学解释。
原文摘要 · Abstract (English)
There are two widely held characterizations of human semantic category systems: (1) they form convex partitions of conceptual spaces, and (2) they are efficient for communication. While prior work observed that convexity and efficiency co-occur in color naming, the analytical relation between them and why they co-occur have not been well understood. We address this gap by combining analytical and empirical analyses that build on the Information Bottleneck (IB) framework for semantic efficiency. First, we show that convexity and efficiency are distinct in the sense that neither entails the other: there are convex systems which are inefficient, and optimally-efficient systems that are non-convex. Crucially, however, the IB-optimal systems are mostly convex in the domain of color naming, explaining the main empirical basis for the convexity approach. Second, we show that efficiency is a stronger predictor for discriminating attested color naming systems from hypothetical variants, with convexity adding negligible improvement on top of that. Finally, we discuss a range of empirical phenomena that convexity cannot account for but efficiency can. Taken together, our work suggests that while convexity and efficiency can yield similar structural observations, they are fundamentally distinct, with efficiency providing a more comprehensive account of semantic typology.
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