A probabilistic framework for analysing the compositionality of conceptual combinations
A probabilistic framework for analysing the compositionality of conceptual combinations
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DOI：
10.1016/j.jmp.2015.06.002
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发表时间：
2015-08-01
影响因子：
1.8
通讯作者：
Sitbon, Laurianne
中科院分区：
文献类型：
--
作者：
Bruza, Peter D.;Kitto, Kirsty;Sitbon, Laurianne
概念组合在创造日常语言中广泛使用的复合短语方面发挥着重要作用。虽然语言的系统性和生产力为支持组合性假设提供了强有力的论据，但这一假设在认知科学和哲学中仍然经常受到质疑。本文提供了一种新的概率框架，用于评估概念组合的语义是否是组合的，因此可以被认为是组成概念的语义的函数，或者不是。而不是裁定不同等级的组合性，这里提出的框架有助于正式的方法，确定一个明确的分界线之间的组合和非组合语义。组合性等同于一个联合概率分布模型如何解释组合中的组成概念。边际选择性强调作为一个关键的概率约束的应用贝尔/CH和CHSH系统的不等式（统称为贝尔型）。然后，非组合性被等同于边际选择性的失败，或者，在边际选择性的存在下，与贝尔型不等式的违反。在这两个非组合的情况下，概念组合不能使用联合概率分布与对应于单个概念的解释的变量进行建模。该框架证明了它的经验方案的二十四个非词汇化的概念组合。(C)2015 Elsevier Inc. All rights reserved.
Conceptual combination performs a fundamental role in creating the broad range of compound phrases utilised in everyday language. While the systematicity and productivity of language provide a strong argument in favour of assuming compositionality, this very assumption is still regularly questioned in both cognitive science and philosophy. This article provides a novel probabilistic framework for assessing whether the semantics of conceptual combinations are compositional, and so can be considered as a function of the semantics of the constituent concepts, or not. Rather than adjudicating between different grades of compositionality, the framework presented here contributes formal methods for determining a clear dividing line between compositional and non-compositional semantics. Compositionality is equated with a joint probability distribution modelling how the constituent concepts in the combination are interpreted. Marginal selectivity is emphasised as a pivotal probabilistic constraint for the application of the Bell/CH and CHSH systems of inequalities (referred to collectively as Bell-type). Non-compositionality is then equated with either a failure of marginal selectivity, or, in the presence of marginal selectivity, with a violation of Bell-type inequalities. In both non-compositional scenarios, the conceptual combination cannot be modelled using a joint probability distribution with variables corresponding to the interpretation of the individual concepts. The framework is demonstrated by applying it to an empirical scenario of twenty-four non-lexicalised conceptual combinations. (C) 2015 Elsevier Inc. All rights reserved.