A system factorial technology analysis of the size congruity effect: Implications for numerical cognition and stochastic modeling
Publication date: June 2018Source: Journal of Mathematical Psychology, Volume 84Author(s): Daniel Fitousi, Daniel AlgomAbstractWe applied the methodology known as the system factorial technology (SFT) to diagnose the information-processing architecture underlying the size-congruity effect (SCE) in numerical cognition. The SCE documents the interference in judging the physical size of numerals when this size disagrees with their numerical magnitude or the facilitation when the two attributes agree. Traditional theories of the SCE implicate the automatic activation of numerical magnitude and hence the mandatory interaction i...
Source: Journal of Mathematical Psychology - July 10, 2018 Category: Psychiatry & Psychology Source Type: research
The geometry of learning
Publication date: June 2018Source: Journal of Mathematical Psychology, Volume 84Author(s): Gianluca CalcagniAbstractWe establish a correspondence between Pavlovian conditioning processes and fractals. The association strength at a training trial corresponds to a point in a disconnected set at a given iteration level. In this way, one can represent a training process as a hopping on a fractal set, instead of the traditional learning curve as a function of the trial. The main advantage of this novel perspective is to provide an elegant classification of associative theories in terms of the geometric features of fractal sets....
Source: Journal of Mathematical Psychology - July 10, 2018 Category: Psychiatry & Psychology Source Type: research
Strict scalability of choice probabilities
Publication date: June 2018Source: Journal of Mathematical Psychology, Volume 84Author(s): Matthew RyanAbstractThis paper introduces the concept of strict scalability, which lies between the classical notions of simple scalability (Krantz, 1964; Tversky and Russo, 1969) and monotone scalability (Fishburn, 1973). For binary choices, strict scalability is precisely characterised by the well-known axiom of weak substitutability (at least for countable domains). We also introduce a multinomial extension of weak substitutability that characterises strict scalability for multinomial choice. (Source: Journal of Mathematical Psychology)
Source: Journal of Mathematical Psychology - July 10, 2018 Category: Psychiatry & Psychology Source Type: research
A tutorial on Gaussian process regression: Modelling, exploring, and exploiting functions
Publication date: August 2018Source: Journal of Mathematical Psychology, Volume 85Author(s): Eric Schulz, Maarten Speekenbrink, Andreas KrauseAbstractThis tutorial introduces the reader to Gaussian process regression as an expressive tool to model, actively explore and exploit unknown functions. Gaussian process regression is a powerful, non-parametric Bayesian approach towards regression problems that can be utilized in exploration and exploitation scenarios. This tutorial aims to provide an accessible introduction to these techniques. We will introduce Gaussian processes which generate distributions over functions used f...
Source: Journal of Mathematical Psychology - July 10, 2018 Category: Psychiatry & Psychology Source Type: research
On universality of classical probability with contextually labeled random variables
Publication date: August 2018Source: Journal of Mathematical Psychology, Volume 85Author(s): Ehtibar N. Dzhafarov, Maria KonAbstractOne can often encounter claims that classical (Kolmogorovian) probability theory cannot handle, or even is contradicted by, certain empirical findings or substantive theories. This note joins several previous attempts to explain that these claims are unjustified, illustrating this on the issues of (non)existence of joint distributions, probabilities of ordered events, and additivity of probabilities. The specific focus of this note is on showing that the mistakes underlying these claims can be...
Source: Journal of Mathematical Psychology - July 10, 2018 Category: Psychiatry & Psychology Source Type: research
Stochastic transitivity: Axioms and models
Publication date: August 2018Source: Journal of Mathematical Psychology, Volume 85Author(s): I.F.D. Oliveira, S. Zehavi, O. DavidovAbstractTransitivity relations play an important role in specifying models of paired comparisons. While models of paired comparisons have historical origins in psychological models of choice, today they find applications in fields as diverse as economics, computer science and statistics. Typically, transitivity relations are formalized by describing the relationship among choice probabilities of any three items. In this paper we show that stochastic transitivity relations can be expressed globa...
Source: Journal of Mathematical Psychology - July 10, 2018 Category: Psychiatry & Psychology Source Type: research
Editorial Board
Publication date: June 2018Source: Journal of Mathematical Psychology, Volume 84Author(s): (Source: Journal of Mathematical Psychology)
Source: Journal of Mathematical Psychology - July 5, 2018 Category: Psychiatry & Psychology Source Type: research
Parameter estimation of the Linear Phase Correction model by hierarchical linear models
Publication date: June 2018Source: Journal of Mathematical Psychology, Volume 84Author(s): Dominic Noy, Raquel MenezesAbstractThe control of human motor timing is captured by models that make assumptions about the underlying information processing mechanisms. A paradigm for its inquiry is the Sensorimotor Synchronization task, in which an individual is required to synchronize the movements of an effector, like the finger, with repetitive appearing onsets of an external event. The Linear Phase Correction model is a cognitive model that captures the asynchrony dynamics between the finger taps and the event onsets. However, w...
Source: Journal of Mathematical Psychology - July 5, 2018 Category: Psychiatry & Psychology Source Type: research
Approaching subjective interval timing with a non-Gaussian perspective
Publication date: June 2018Source: Journal of Mathematical Psychology, Volume 84Author(s): Tomás Gallo Aquino, Raphael Yokoingawa de Camargo, Marcelo Bussotti ReyesAbstractPerceiving time intervals is an essential ability of many animals, whose psychophysical properties have yet to be fully understood. A common theoretical approach is to consider that internal representations of time intervals are reflected in probability distribution functions. Depending on the mechanism proposed for interval timing inverse Gaussian and log-normal probability distributions are candidate distributions to represent internal representations...
Source: Journal of Mathematical Psychology - July 5, 2018 Category: Psychiatry & Psychology Source Type: research
A tutorial on joint models of neural and behavioral measures of cognition
Publication date: June 2018Source: Journal of Mathematical Psychology, Volume 84Author(s): James J. Palestro, Giwon Bahg, Per B. Sederberg, Zhong-Lin Lu, Mark Steyvers, Brandon M. TurnerAbstractA growing synergy between the fields of cognitive neuroscience and mathematical psychology has sparked the development of several unique statistical approaches exploiting the benefits of both disciplines (Turner, Forstmann et al., 2017). One approach in particular, called joint modeling, attempts to model the covariation between the parameters of “submodels” intended to capture important patterns in each stream of data. Joint m...
Source: Journal of Mathematical Psychology - July 5, 2018 Category: Psychiatry & Psychology Source Type: research
Quantum like modeling of decision making: Quantifying uncertainty with the aid of Heisenberg–Robertson inequality
Publication date: June 2018Source: Journal of Mathematical Psychology, Volume 84Author(s): Fabio Bagarello, Irina Basieva, Emmanuel M. Pothos, Andrei KhrennikovAbstractThis paper contributes to quantum-like modeling of decision making (DM) under uncertainty through application of Heisenberg’s uncertainty principle (in the form of the Robertson inequality). In this paper we apply this instrument to quantify uncertainty in DM performed by quantum-like agents. As an example, we apply the Heisenberg uncertainty principle to the determination of mutual interrelation of uncertainties for “incompatible questions” used to be...
Source: Journal of Mathematical Psychology - July 5, 2018 Category: Psychiatry & Psychology Source Type: research
A system factorial technology analysis of the size congruity effect: Implications for numerical cognition and stochastic modeling
Publication date: June 2018Source: Journal of Mathematical Psychology, Volume 84Author(s): Daniel Fitousi, Daniel AlgomAbstractWe applied the methodology known as the system factorial technology (SFT) to diagnose the information-processing architecture underlying the size-congruity effect (SCE) in numerical cognition. The SCE documents the interference in judging the physical size of numerals when this size disagrees with their numerical magnitude or the facilitation when the two attributes agree. Traditional theories of the SCE implicate the automatic activation of numerical magnitude and hence the mandatory interaction i...
Source: Journal of Mathematical Psychology - July 5, 2018 Category: Psychiatry & Psychology Source Type: research
The geometry of learning
Publication date: June 2018Source: Journal of Mathematical Psychology, Volume 84Author(s): Gianluca CalcagniAbstractWe establish a correspondence between Pavlovian conditioning processes and fractals. The association strength at a training trial corresponds to a point in a disconnected set at a given iteration level. In this way, one can represent a training process as a hopping on a fractal set, instead of the traditional learning curve as a function of the trial. The main advantage of this novel perspective is to provide an elegant classification of associative theories in terms of the geometric features of fractal sets....
Source: Journal of Mathematical Psychology - July 5, 2018 Category: Psychiatry & Psychology Source Type: research
Strict scalability of choice probabilities
Publication date: June 2018Source: Journal of Mathematical Psychology, Volume 84Author(s): Matthew RyanAbstractThis paper introduces the concept of strict scalability, which lies between the classical notions of simple scalability (Krantz, 1964; Tversky and Russo, 1969) and monotone scalability (Fishburn, 1973). For binary choices, strict scalability is precisely characterised by the well-known axiom of weak substitutability (at least for countable domains). We also introduce a multinomial extension of weak substitutability that characterises strict scalability for multinomial choice. (Source: Journal of Mathematical Psychology)
Source: Journal of Mathematical Psychology - July 5, 2018 Category: Psychiatry & Psychology Source Type: research
A tutorial on Gaussian process regression: Modelling, exploring, and exploiting functions
Publication date: August 2018Source: Journal of Mathematical Psychology, Volume 85Author(s): Eric Schulz, Maarten Speekenbrink, Andreas KrauseAbstractThis tutorial introduces the reader to Gaussian process regression as an expressive tool to model, actively explore and exploit unknown functions. Gaussian process regression is a powerful, non-parametric Bayesian approach towards regression problems that can be utilized in exploration and exploitation scenarios. This tutorial aims to provide an accessible introduction to these techniques. We will introduce Gaussian processes which generate distributions over functions used f...
Source: Journal of Mathematical Psychology - July 5, 2018 Category: Psychiatry & Psychology Source Type: research
