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Cambridge University Press eBooks

Quantum-like models of human semantic space

Jerome R. Busemeyer, Peter Bruza

Published Jul 26, 2012• 0 citations
Publisher

Abstract

A connection between quantum theory and human memory came out of cybernetics research in the early 1950s (von Foerster, 1950). It was not until modelling the activation of a word in human memory did the connection begin to appear in mainstream psychological literature. Target word activation was speculated as being similar to quantum entanglement because the target word and its associative network were being activated “in synchrony,” the core intuition behind the “spooky-action-at-a-distance” formula (Nelson et al ., 2003). This chapter begins by developing a quantum-like model of the human mental lexicon and compares it against other memory models. Specific attention is paid to how these models describe the activation of a word in memory in the context of the extra- and intra-list cuing tasks. The chapter then covers how quantum theory can be applied to model human semantic space. The human mental lexicon A mental lexicon refers to the words that comprise a language, and its structure is defined here by the associative links that bind this vocabulary together. Such links are acquired through experience and the vast and semi-random nature of this experience ensures that words within this vocabulary are highly inter-connected, both directly and indirectly through other words. For example, the word planet becomes associated with earth, space, moon , and so on, and within this set, moon can become linked to earth and star . Words are so associatively interconnected with each other they meet the qualifications of a “small world” network wherein it takes only a few associative steps to move from any one word to any other in the lexicon (Steyvers & Tenenbaum, 2005).

DOI
10.1017/cbo9780511997716.008

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Cambridge University Press eBooks•Jul 26, 2012•1 citation
A connection between quantum theory and human memory came out of cybernetics research in the early 1950s (von Foerster, 1950). It was not until modelling the activation of a word in human memory did the connection begin to appear in mainstream psychological literature. Target word activation was speculated as being similar to quantum entanglement because the target word and its associative network were being activated “in synchrony,” the core intuition behind the “spooky-action-at-a-distance” formula (Nelson et al ., 2003). This chapter begins by developing a quantum-like model of the human mental lexicon and compares it against other memory models. Specific attention is paid to how these models describe the activation of a word in memory in the context of the extra- and intra-list cuing tasks. The chapter then covers how quantum theory can be applied to model human semantic space. The human mental lexicon A mental lexicon refers to the words that comprise a language, and its structure is defined here by the associative links that bind this vocabulary together. Such links are acquired through experience and the vast and semi-random nature of this experience ensures that words within this vocabulary are highly inter-connected, both directly and indirectly through other words. For example, the word planet becomes associated with earth, space, moon , and so on, and within this set, moon can become linked to earth and star . Words are so associatively interconnected with each other they meet the qualifications of a “small world” network wherein it takes only a few associative steps to move from any one word to any other in the lexicon (Steyvers & Tenenbaum, 2005).
Following an early claim by Nelson & McEvoy \cite{Nelson:McEvoy:2007} suggesting that word associations can display `spooky action at a distance behaviour', a serious investigation of the potentially quantum nature of such associations is currently underway. This paper presents a simple quantum model of a word association system. It is shown that a quantum model of word entanglement can recover aspects of both the Spreading Activation equation and the Spooky-activation-at-a-distance equation, both of which are used to model the activation level of words in human memory.
Human memory experiments appear to be generating "nonlocal" effects cite{Nelson:McEvoy:2007}. In this paper the possibility that words might be entangled in human semantic space is seriously entertained. This approach leads to a very natural picture of the way in which context might affect word association via the standard interpretation of quantum measurement. Two possible scenarios for testing such a hypothesis are suggested, both based upon potential violations of the CHSH inequality.
Understanding the structures of human semantic memory search has been a critical initiative in cognitive science.One testing method is the semantic memory task, which asks patients to recall as many words as possible within a specific category, often to test for neurological disorders.Recent studies have shown that classical computers can simulate brain mechanisms using random behaviors.But unlike classical models, which assume that semantic activation spreads along a single probabilistic pathway at a time, quantum random walks allow for simultaneous exploration of multiple conceptual associations, reflecting the parallel and context-dependent retrieval mechanisms observed in cognition through the use of superposition and interference.To address this, we introduce a quantum random walk computation approach for more detailed modeling to address this.By developing the first quantum computing procedure for classical INVITE random walks using quantum random walks, we provide the maximum probabilities of generating semantically related word categories pertinent to the semantic fluency task in assessing a patient's potential semantic memory recall for cognitive diseases.Thus, this method promises the potential for various quantum search algorithms and offers greater scalability in statistical analysis.
Quantum cognition (QC) is a new interdisciplinary research field which applies the mathematical structure of quantum mechanics to explain and understand puzzling aspects of cognitive phenomena. This study focuses on improving the current QC models of language and memory. The researcher provides a better understanding of measurement and contextuality in processes involving language and memory. This will impact upon the field of QC, strengthening its position as a well-founded branch of mathematical psychology.
Purpose The paper aims to provide a semiotic interpretation of the role played by entanglement in quantum-based models aimed to information retrieval and suggests possible improvements. Actual models are capable of retrieving documents relevant to a query composed of a keyword and its acceptation expressed by a given context. The paper also considers some analogies between this technique and quantum-based approaches in other disciplines to discuss the consequence of this quantum turn, as epistemology and philosophy of language are concerned. Design/methodology/approach We use quantum geometry to design a formal model for textual semiotics. In particular, the authors refer to Greimas’s work on semantics and information theory, to Eco’s writings on semantic memory and to Lotman’s work on a cybernetic notion of culture. Findings Quantum approaches imply a particular point of view on meaning. Meaning is not a real, positive quality of a given word. It is a net of relations constructed in the text, whose value is progressively determined during the reading process. Furthermore, reading is not a neutral operation: to read is to determine meaning. If it is said that, from a general semiotic point of view, meaning is stored in quantum semantic memories and is read/written by semantic machines, then the operation of “reading/writing” is analogous to the operation of measuring in quantum theory: in other terms, meaning is a value, and this implies an instance (not necessarily human) according to which values are valuable. Research limitations/implications The authors are not proposing a complete quantum semantics. At the present, quantum information retrieval can detect the presence of semantic relations. The authors suggest a way to characterize them, leaving open the problem on how to formalize the document as a vector in four-state semantic space. Practical implications A quantum turn shows deep semiotic implications on the approach to language, which shows an immanent semantic organization not reducible to syntax and morphology. This organization is probabilistic and indeterministic and explains to what extent text fixes the meaning of its lexical units. Social implications In the authors’ perspective, signification is not the exclusivity of a human subject. Criticizing Turing test, the great semiotic and cybernetic scholar Jurij Lotman wrote that if we identify “intelligent” and “human”, we raise the failings of an actual form of intelligence to the rank of an essential characteristic. On this line, meaning is considered as a feature of social, artificial and biological systems. Originality/value The adoption of quantum formalism seems in line with cybernetic framework, involving a probabilistic, non-cartesian point of view on meaning aimed to critically discuss the human–machine relation. Furthermore, Quantum theory (QT) implies a phenomenological point of view on the conditions of possibility of meaning.
Consider the concept combination “pet human.” In word association experiments, human subjects often produce the associate “slave” in relation to this combination. The striking aspect of this associate is that it is not produced as an associate of “pet” or “human” in isolation. In other words, the associate “slave” cannot be recovered from the constituent concepts. Such examples have been used in both cognitive science and philosophy to argue that concept combinations have a non-compositional semantics. This chapter will feature how various non-compositional accounts of concept combinations can be provided from quantum theory. Quantum theory is a theory which caters for the modelling of non-compositionality because the state of a quantum entangled system cannot be constructed from the states of its individual subsystems. Utilizing probabilistic methods developed for analyzing composite systems in quantum theory, we show that it is possible to classify concept combinations as having “classically compositional,” “pseudo-classically non-compositional,” or “non-classically non-compositional” semantics by determining whether the joint probability distribution modelling the combination is factorizable or not. Concept combinations and cognition The principle of semantic compositionality states the meaning of a (syntactically complex) whole is a function only of the meanings of its (syntactic) parts together with the manner in which these parts were combined (Pelletier, 1994). Whether the semantics of concepts are compositional, or not, has been somewhat of a battleground. On the one hand, there are authors like Fodor (1994) who are adamant that concepts are, and must be, compositional, but this position stands in contrast with the computational linguist Zadrozny (1994), who produced a theorem suggesting that: “the standard definition of compositionality is formally vacuous.”