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On Iverson’s law of similarity
Iverson (2006b) proposed the law of similarity ξs(λx)=γ(λ,s)ξη(λ,s)(x)for the sensitivity functions ξs(s∈S). Compared to t...
The dual and the complement of a skill function
In knowledge structure theory, the conjunctive model is the dual of the disjunctive model. What, then, is the dual of the ...
Standardized mean difference effect sizes for interval-valued data. A distance-based approach
Volume 127, December 2025, 102954Author links open overlay panel, , , Highlights•Interval-valued data allow to capture ric...
On informativeness and reducibility in competence models
Knowledge structure theory (KST; Doignon and Falmagne, 1985, Doignon and Falmagne, 1999, Falmagne and Doignon, 2011) provi...
A dynamic model of context-based retrieval
We propose a comprehensive model of how experiences are encoded and retrieved from memory. At the core of the model is a d...
Modeling meta-reasoning processes using diffusion and quantum random walk models
During a decision task, such as selecting an item to purchase among several available items, a person may invoke cognitive...
Causal analysis of absolute and relative risk reductions
Volume 127, December 2025, 102942Author links open overlay panel, , Highlights•Analyses explicate causal assumptions under...
Experiment-based calibration in psychology: Foundational and data-generating model
Experiment-based calibration is a novel method for measurement validation, which – unlike classical validity metrics – doe...
Corrigendum to “An entropy model of decision uncertainty” [Journal of Mathematical Psychology 125 (2025), 102919]
Volume 127, December 2025, 102951Author links open overlay panelKeith A. Schneider a b c 1Show morePrevious article in iss...
Identifiability of the polytomous local independence model with graded knowledge structures
This article provides initial theoretical results concerning the identifiability of the polytomous local independence mode...
Representing choice probabilities by ranking probabilities via entropy maximization
The concept of random utility is based on the notion that an individual’s preferences are not deterministic but stochastic...
Associative updates for temporal contingencies
Inferring meaningful predictive relationships between events across time is a problem commonly faced by neural systems — s...
A hitchhiker’s guide to information theoretical measures in psychology
Information theoretic measures can be used as alternative non-parametric association measures that shine an additional lig...
Analytical bifurcation analysis of mean-field Ising models reveals connectivity as a risk factor for psychopathology
The connectivity hypothesis, central to the increasingly influential symptom network approach to psychopathology, proposes...
Information of absence: Capacity measures for parallel AND processing
One important endeavor in the perceptual sciences involves measuring how effectively multiple sources of information are u...
The assessment of global optimization skills in procedural knowledge space theory
Procedural knowledge space theory aims to evaluate problem-solving skills using a formal representation of a problem space...
An entropy model of decision uncertainty
Volume 125, May 2025, 102919Author links open overlay panelHighlights•A novel model was derived describing uncertainty as ...
Cognitive models of decision-making with identifiable parameters: Diffusion decision models with within-trial noise
Volume 125, May 2025, 102917Author links open overlay panel, , , Highlights•DDMs allow estimation of evidence parameters i...
Traits and tangles: An analysis of the Big Five paradigm by tangle-based clustering
Using the recently developed mathematical theory of tangles, we re-assess the mathematical foundations for applications of...
A Boolean generalization of the information-gain model can eliminate specific reasoning errors
Volume 125, May 2025, 102918Author links open overlay panelHighlights•Proposes a hybrid, logic/probability calculus.•Deriv...
Secure and perfect maximality
Volume 125, May 2025, 102922Author links open overlay panelHighlights•Maximal superiority is generated through constrained...
Using systems factorial technology for global model analysis of ACT-R’s core architectural assumptions
A cognitive architecture (CA) is a unified theory of cognition which describes how sub-systems such as perception, motor a...
Coupling quantum-like cognition with the neuronal networks within generalized probability theory
The past few years have seen a surge in the application of quantum-like (QL) modeling in fields such as cognition, psychol...
Toward a unified perspective on assessment models, part II: Dichotomous latent variables
Volume 125, May 2025, 102926Author links open overlay panel, , , Highlights•KST and CDA models can be systematized within ...
Models of human probability judgment errors
Humans have remarkable abilities to reason under uncertainty: we can make reasonable predictions about whether it will rai...
A concise mathematical description of active inference in discrete time
Volume 125, May 2025, 102921Author links open overlay panel, , Highlights•Language and notation that is in line with stand...
Two formal notions of higher-order invariance detection in humans (A proof of the invariance equivalence principle in Generalized Invariance Structure Theory and ramifications for related computations)
Invariance and symmetry principles have played a fundamental if not essential role in the theoretical development of the p...
Honey, I shrunk the irrelevant effects! Simple and flexible approximate Bayesian regularization
In the social and behavioral sciences and related fields, statistical models are becoming increasingly complex with more p...
Expected exponential discounting in inter-temporal decision making
We present a novel interpretation of delay discounting – a theoretical mechanism by which decision-makers discount the cur...
Exploring well-gradedness in polytomous knowledge structures
Exploring well-gradedness in polytomous knowledge structures
Knowledge Structure Theory (KST), initially developed by Doignon and Falmagne, 1985, Doignon and Falmagne, 1999, has under...
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