发布求助
文献互助 智能选刊 最新文献

Journal of Mathematical Psychology最新文献

筛选
英文 中文
Two peas in a pod: Discounting models as a special case of the VARMAX 一荚两豆作为 VARMAX 特例的贴现模型
IF 1.8 4区 心理学
Journal of Mathematical Psychology Pub Date : 2024-04-11 DOI: 10.1016/j.jmp.2024.102856
Niels Vanhasbroeck, Tim Loossens, Francis Tuerlinckx
{"title":"Two peas in a pod: Discounting models as a special case of the VARMAX","authors":"Niels Vanhasbroeck,&nbsp;Tim Loossens,&nbsp;Francis Tuerlinckx","doi":"10.1016/j.jmp.2024.102856","DOIUrl":"https://doi.org/10.1016/j.jmp.2024.102856","url":null,"abstract":"<div><p>In this paper, we establish a formal connection between two dynamic modeling approaches that are often taken to study affect dynamics. More specifically, we show that the exponential discounting model can be rewritten to a specific case of the VARMAX, thereby shedding light on the underlying similarities and assumptions of the two models. This derivation has some important consequences for research. First, it allows researchers who use discounting models in their studies to use the tools established within the broader time series literature to evaluate the applicability of their models. Second, it lays bare some of the implicit restrictions discounting models put on their parameters and, therefore, provides a foundation for empirical testing and validation of these models. One of these restrictions concerns the exponential shape of the discounting function that is often assumed in the affect dynamical literature. As an alternative, we briefly introduce the quasi-hyperbolic discounting function.</p></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140547219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The generalized Robbins–Monro process and its application to psychophysical experiments for threshold estimation 广义罗宾斯-蒙罗过程及其在阈值估计心理物理实验中的应用
IF 1.8 4区 心理学
Journal of Mathematical Psychology Pub Date : 2024-04-11 DOI: 10.1016/j.jmp.2024.102855
Hau-Hung Yang, Yung-Fong Hsu
{"title":"The generalized Robbins–Monro process and its application to psychophysical experiments for threshold estimation","authors":"Hau-Hung Yang,&nbsp;Yung-Fong Hsu","doi":"10.1016/j.jmp.2024.102855","DOIUrl":"https://doi.org/10.1016/j.jmp.2024.102855","url":null,"abstract":"<div><p>In classical psychophysics, the study of threshold and underlying representations is of theoretical interest, and the relevant issue of finding the stimulus intensity corresponding to a certain threshold level is an important topic. In the literature, researchers have developed various adaptive (also known as ‘up-down’) methods, including the fixed step-size and variable step-size methods, for the estimation of threshold. A common feature of this family of methods is that the stimulus to be assigned to the current trial depends upon the participant’s response in the previous trial(s), and very often a binary response format is adopted. A well-known earlier work of the variable step-size adaptive methods is the Robbins–Monro process (and its accelerated version). However, previous studies have paid little attention to other facets of response variables (in addition to the binary response variable) that could be jointly embedded into the process. This article concerns a generalization of the Robbins–Monro process by incorporating an additional response variable, such as the response time or the response confidence, into the process. We first prove the consistency of the estimator from the generalized method. We then conduct a Monte Carlo simulation study to explore some finite-sample properties of the estimator from the generalized method with either the response time or the response confidence as the variable of interest, and compare its performance with the original method. The results show that the two methods (and their accelerated version) are comparable. The issue of relative efficiency is also discussed.</p></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140543297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the (non-) reliance on algorithms—A decision-theoretic account 关于（不）依赖算法--决策理论的解释
IF 1.8 4区 心理学
Journal of Mathematical Psychology Pub Date : 2024-03-26 DOI: 10.1016/j.jmp.2024.102844
Bernard Sinclair-Desgagné
{"title":"On the (non-) reliance on algorithms—A decision-theoretic account","authors":"Bernard Sinclair-Desgagné","doi":"10.1016/j.jmp.2024.102844","DOIUrl":"https://doi.org/10.1016/j.jmp.2024.102844","url":null,"abstract":"<div><p>A wealth of empirical evidence shows that people display opposite behaviors when deciding whether to rely on an algorithm, even if it is inexpensive to do so and using the algorithm should enhance their own performance. This paper develops a formal theory to explain some of these conflicting facts and submit new testable predictions. Drawing from decision analysis, I invoke two key notions: the ‘value of information’ and the ‘value of control’. The value of information matters to users of algorithms like recommender systems and prediction machines, which essentially provide information. I find that ambiguity aversion or a subjective cost of employing an algorithm will tend to decrease the value of algorithmic information, while repeated exposure to an algorithm might not always increase this value. The value of control matters to users who may delegate decision making to an algorithm. I model how, under partial delegation, imperfect understanding of what the algorithm actually does (so the algorithm is in fact a black box) can cause algorithm aversion. Some possible remedies are formulated and discussed.</p></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140290848","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A tutorial on Bayesian inference for dynamical modeling of eye-movement control during reading 阅读过程中眼动控制动态建模的贝叶斯推理教程
IF 1.8 4区 心理学
Journal of Mathematical Psychology Pub Date : 2024-03-10 DOI: 10.1016/j.jmp.2024.102843
Ralf Engbert , Maximilian M. Rabe
{"title":"A tutorial on Bayesian inference for dynamical modeling of eye-movement control during reading","authors":"Ralf Engbert ,&nbsp;Maximilian M. Rabe","doi":"10.1016/j.jmp.2024.102843","DOIUrl":"https://doi.org/10.1016/j.jmp.2024.102843","url":null,"abstract":"<div><p>Dynamical models are crucial for developing process-oriented, quantitative theories in cognition and behavior. Due to the impressive progress in cognitive theory, domain-specific dynamical models are complex, which typically creates challenges in statistical inference. Mathematical models of eye-movement control might be looked upon as a representative case study. In this tutorial, we introduce and analyze the SWIFT model (Engbert et al., 2002; Engbert et al., 2005), a dynamical modeling framework for eye-movement control in reading that was developed to explain all types of saccades observed in experiments from an activation-based approach. We provide an introduction to dynamical modeling, which explains the basic concepts of SWIFT and its statistical inference. We discuss the likelihood function of a simplified version of the SWIFT model as a key foundation for Bayesian parameter estimation (Rabe et al., 2021; Seelig et al., 2019). In posterior predictive checks, we demonstrate that the simplified model can reproduce interindividual differences via parameter variation. All computations in this tutorial are implemented in the <span>R</span>-Language for Statistical Computing and are made publicly available. We expect that the tutorial might be helpful for advancing dynamical models in other areas of cognitive science.</p></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140069384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamic noise estimation: A generalized method for modeling noise fluctuations in decision-making 动态噪音估计：决策中噪声波动建模的通用方法
IF 1.8 4区 心理学
Journal of Mathematical Psychology Pub Date : 2024-02-28 DOI: 10.1016/j.jmp.2024.102842
Jing-Jing Li , Chengchun Shi , Lexin Li , Anne G.E. Collins
{"title":"Dynamic noise estimation: A generalized method for modeling noise fluctuations in decision-making","authors":"Jing-Jing Li ,&nbsp;Chengchun Shi ,&nbsp;Lexin Li ,&nbsp;Anne G.E. Collins","doi":"10.1016/j.jmp.2024.102842","DOIUrl":"https://doi.org/10.1016/j.jmp.2024.102842","url":null,"abstract":"<div><p>Computational cognitive modeling is an important tool for understanding the processes supporting human and animal decision-making. Choice data in decision-making tasks are inherently noisy, and separating noise from signal can improve the quality of computational modeling. Common approaches to model decision noise often assume constant levels of noise or exploration throughout learning (e.g., the <span><math><mi>ϵ</mi></math></span>-softmax policy). However, this assumption is not guaranteed to hold – for example, a subject might disengage and lapse into an inattentive phase for a series of trials in the middle of otherwise low-noise performance. Here, we introduce a new, computationally inexpensive method to dynamically estimate the levels of noise fluctuations in choice behavior, under a model assumption that the agent can transition between two discrete latent states (e.g., fully engaged and random). Using simulations, we show that modeling noise levels dynamically instead of statically can substantially improve model fit and parameter estimation, especially in the presence of long periods of noisy behavior, such as prolonged lapses of attention. We further demonstrate the empirical benefits of dynamic noise estimation at the individual and group levels by validating it on four published datasets featuring diverse populations, tasks, and models. Based on the theoretical and empirical evaluation of the method reported in the current work, we expect that dynamic noise estimation will improve modeling in many decision-making paradigms over the static noise estimation method currently used in the modeling literature, while keeping additional model complexity and assumptions minimal.</p></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139985604","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An accidental image feature that appears but not disappears 意外出现但未消失的图像特征
IF 1.8 4区 心理学
Journal of Mathematical Psychology Pub Date : 2024-02-14 DOI: 10.1016/j.jmp.2024.102841
Tadamasa Sawada , Denis Volk
{"title":"An accidental image feature that appears but not disappears","authors":"Tadamasa Sawada ,&nbsp;Denis Volk","doi":"10.1016/j.jmp.2024.102841","DOIUrl":"https://doi.org/10.1016/j.jmp.2024.102841","url":null,"abstract":"<div><p>A cusp of a curve in a 2D image is an important feature of the curve for visual perception. It is intuitively obvious that the cusp of the 2D curve can be attributed to an angular feature contained in a 3D scene. It is accidental when a space curve with a cusp in a 3D scene is projected to a smooth curve without any cusp in a 2D image. Note that there is also an interesting case in which a smooth space curve without any cusp is accidentally projected to a 2D curve with a cusp. The angle of the cusp of the 2D curve is arbitrary but it is determined by the shape of the space curve. In this study, we will show the necessary and sufficient conditions that are needed to produce a space smooth curve that is projected to a 2D curve with a cusp under both perspective and orthographic projections. We will also show how the angle of the cusp is determined, and that these conditions are only satisfied accidentally.</p></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139732702","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exploring well-gradedness in polytomous knowledge structures 探索多项式知识结构中的良好分级性
IF 1.8 4区 心理学
Journal of Mathematical Psychology Pub Date : 2024-01-16 DOI: 10.1016/j.jmp.2024.102840
Bo Wang , Jinjin Li
{"title":"Exploring well-gradedness in polytomous knowledge structures","authors":"Bo Wang ,&nbsp;Jinjin Li","doi":"10.1016/j.jmp.2024.102840","DOIUrl":"10.1016/j.jmp.2024.102840","url":null,"abstract":"<div><p>Enhancing learning effectiveness and comprehension, well-gradedness plays a crucial role in knowledge structure theory by establishing a systematic and progressive knowledge system. Extensive research has been conducted in this domain, resulting in significant findings. This paper explores the properties of well-gradedness in polytomous knowledge structures, shedding light on both classical confirmations and exceptional cases. A key characteristic of well-gradedness is the presence of adjacent elements within a non-empty family that exhibit a distance of 1. The study investigates various manifestations of well-gradedness, including its discriminative properties and its manifestation in discriminative factorial polytomous structures. Furthermore, intriguing deviations from classical standards in minimal polytomous states are uncovered, revealing unexpected behaviors.</p></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139475512","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Structure of single-peaked preferences 单峰偏好的结构
IF 1.8 4区 心理学
Journal of Mathematical Psychology Pub Date : 2023-12-01 DOI: 10.1016/j.jmp.2023.102817
Alexander Karpov
{"title":"Structure of single-peaked preferences","authors":"Alexander Karpov","doi":"10.1016/j.jmp.2023.102817","DOIUrl":"10.1016/j.jmp.2023.102817","url":null,"abstract":"<div><p>The paper studies a variety of domains of preference orders that are closely related to single-peaked preferences. We develop recursive formulas for the number of single-peaked preference profiles and the number of preference profiles that are single-peaked on a circle. The number of Arrow’s single-peaked preference profiles is found for three, four, and five alternatives. Random sampling applications are discussed. For restricted tier preference profiles, a forbidden subprofiles characterization and an exact enumeration formula are obtained. It is also shown that each Fishburn’s preference profile is single-peaked on a circle preference profile, and Fishburn’s preference profiles cannot be characterized by forbidden subprofiles.</p></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135962830","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A contextual range-dependent model for choice under risk 风险下选择的上下文范围依赖模型
IF 1.8 4区 心理学
Journal of Mathematical Psychology Pub Date : 2023-11-30 DOI: 10.1016/j.jmp.2023.102821
Manel Baucells , Michał Lewandowski , Krzysztof Kontek
{"title":"A contextual range-dependent model for choice under risk","authors":"Manel Baucells ,&nbsp;Michał Lewandowski ,&nbsp;Krzysztof Kontek","doi":"10.1016/j.jmp.2023.102821","DOIUrl":"https://doi.org/10.1016/j.jmp.2023.102821","url":null,"abstract":"<div><p><span>We introduce a context-dependent theory for choice under risk, called range utility theory. It builds on Parducci’s range principle from psychophysics and modifies expected utility by positing that risky prospects are evaluated relative to the range of consequences of all prospects in the decision context. When the context is fixed, choices typically exhibit the four-fold pattern of risk preferences, yet are fully consistent with expected utility (linear in probabilities) without invoking rank-principles. We illustrate this advantage in </span>game theory contexts. As the same time, when the context varies, the relative value of an alternative also does, yielding different forms or preference reversals, some of which have been robustly documented.</p></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138466883","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A variation of the cube model for best–worst choice 最佳-最差选择的多维数据集模型的变体
IF 1.8 4区 心理学
Journal of Mathematical Psychology Pub Date : 2023-11-20 DOI: 10.1016/j.jmp.2023.102820
Keivan Mallahi-Karai , Adele Diederich
{"title":"A variation of the cube model for best–worst choice","authors":"Keivan Mallahi-Karai ,&nbsp;Adele Diederich","doi":"10.1016/j.jmp.2023.102820","DOIUrl":"https://doi.org/10.1016/j.jmp.2023.102820","url":null,"abstract":"<div><p>In this paper, we propose a dynamical model<span><span> for the best–worst choice task. The proposed model is a modification of the multi-episode Cube model proposed and studied in so-called (Mallahi-Karai and Diederich, 2019, 2021). This model postulates that best–worst choice (or more generally, ranking) task is the outcome of sequential choices made in a number of episodes. The underlying model is a multivariate Wiener process with drift issued from a point in the unit cube, where episodes are defined in terms of a sequence of </span>stopping times. This model can also be extended to an attention-switching framework in a standard way.</span></p></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138136298","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信