{"title":"On the mathematical formalization of the Inhibited Elements Model","authors":"Natham Aguirre","doi":"10.1016/j.jmp.2024.102887","DOIUrl":null,"url":null,"abstract":"<div><div>The Inhibited Elements Model (Brandon et al., 2000; Wagner and Brandon, 2000) has been proposed as an elemental model that may reproduce the configural model proposed by Pearce (1987, 1994), and although its mathematical formalization has been recently improved by Thorwart and Lachnit (2020), whether it actually reproduces Pearce’s model has remained an open question. In this work I further develop the mathematical formalization of the Inhibited Elements Model by casting it within the formalism proposed by Ghirlanda (2015, 2018). In doing so I will derive the conditions under which the Inhibited Elements Model reproduces Pearce’s model, showing that when all stimuli are assumed of the same “salience” these models coincide only when the application is restricted to compounds that either contain each other or have no common elements. Finally, the mathematical formalization developed here will be applied to the analytic comparison of the Inhibited Elements Model, Rescorla and Wagner’s model (Rescorla and Wagner, 1972; Wagner and Rescorla, 1972), and Pearce’s model in the context of several learning phenomena.</div></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":"123 ","pages":"Article 102887"},"PeriodicalIF":2.2000,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Psychology","FirstCategoryId":"102","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022249624000567","RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
The Inhibited Elements Model (Brandon et al., 2000; Wagner and Brandon, 2000) has been proposed as an elemental model that may reproduce the configural model proposed by Pearce (1987, 1994), and although its mathematical formalization has been recently improved by Thorwart and Lachnit (2020), whether it actually reproduces Pearce’s model has remained an open question. In this work I further develop the mathematical formalization of the Inhibited Elements Model by casting it within the formalism proposed by Ghirlanda (2015, 2018). In doing so I will derive the conditions under which the Inhibited Elements Model reproduces Pearce’s model, showing that when all stimuli are assumed of the same “salience” these models coincide only when the application is restricted to compounds that either contain each other or have no common elements. Finally, the mathematical formalization developed here will be applied to the analytic comparison of the Inhibited Elements Model, Rescorla and Wagner’s model (Rescorla and Wagner, 1972; Wagner and Rescorla, 1972), and Pearce’s model in the context of several learning phenomena.
期刊介绍:
The Journal of Mathematical Psychology includes articles, monographs and reviews, notes and commentaries, and book reviews in all areas of mathematical psychology. Empirical and theoretical contributions are equally welcome.
Areas of special interest include, but are not limited to, fundamental measurement and psychological process models, such as those based upon neural network or information processing concepts. A partial listing of substantive areas covered include sensation and perception, psychophysics, learning and memory, problem solving, judgment and decision-making, and motivation.
The Journal of Mathematical Psychology is affiliated with the Society for Mathematical Psychology.
Research Areas include:
• Models for sensation and perception, learning, memory and thinking
• Fundamental measurement and scaling
• Decision making
• Neural modeling and networks
• Psychophysics and signal detection
• Neuropsychological theories
• Psycholinguistics
• Motivational dynamics
• Animal behavior
• Psychometric theory