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The assessment of global optimization skills in procedural knowledge space theory
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An entropy model of decision uncertainty
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Cognitive models of decision-making with identifiable parameters: Diffusion decision models with within-trial noise
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Traits and tangles: An analysis of the Big Five paradigm by tangle-based clustering
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A Boolean generalization of the information-gain model can eliminate specific reasoning errors
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Secure and perfect maximality
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Using systems factorial technology for global model analysis of ACT-R’s core architectural assumptions
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Coupling quantum-like cognition with the neuronal networks within generalized probability theory
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Toward a unified perspective on assessment models, part II: Dichotomous latent variables
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Models of human probability judgment errors
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A concise mathematical description of active inference in discrete time
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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)
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Honey, I shrunk the irrelevant effects! Simple and flexible approximate Bayesian regularization
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Expected exponential discounting in inter-temporal decision making
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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...
An accidental image feature that appears but not disappears
An accidental image feature that appears but not disappears
A 3D scene and 3D objects in the scene can be drawn with contours in a 2D image and people can perceive their 3D informati...
A contextual range-dependent model for choice under risk
A contextual range-dependent model for choice under risk
Von Neumann and Morgenstern (1944) defined rational preferences in the presence of risk by a series of simple postulates s...
A variation of the cube model for best–worst choice
A variation of the cube model for best–worst choice
Daily life confronts us with many choice situations in which three or more options are available. What should we do? Take ...
On delineating forward- and backward-graded knowledge structures from fuzzy skill maps
On delineating forward- and backward-graded knowledge structures from fuzzy skill maps
Knowledge space theory (KST) provides a useful and efficient mathematical psychological framework for assessing individual...
Experiment-based calibration in psychology: Optimal design considerations
Experiment-based calibration in psychology: Optimal design considerations
Volume 117, December 2023, 102818Author links open overlay panelHighlights•Experiment-based calibration is a method for va...
Structure of single-peaked preferences
Structure of single-peaked preferences
Unidimensional unfolding is a classical problem in mathematical psychology (Coombs, 1950, Coombs, 1964). It is a problem o...
Expressions for Bayesian confidence of drift diffusion observers in fluctuating stimuli tasks
Expressions for Bayesian confidence of drift diffusion observers in fluctuating stimuli tasks
Volume 117, December 2023, 102815Author links open overlay panel, , Highlights•New computationally cheap approach to model...
How averaging individual curves transforms their shape: Mathematical analyses with application to learning and forgetting curves
How averaging individual curves transforms their shape: Mathematical analyses with application to learning and forgetting curves
This paper demonstrates how averaging over individual learning and forgetting curves gives rise to transformed averaged cu...
Regret theory, Allais’ paradox, and Savage’s omelet
Regret theory, Allais’ paradox, and Savage’s omelet
The history of expected utility theory (EUT) started with Bernoulli’s work resolving the St. Petersburg paradox (Stearns, ...
How do people build up visual memory representations from sensory evidence? Revisiting two classic models of choice
How do people build up visual memory representations from sensory evidence? Revisiting two classic models of choice
We make choices in virtually every real-world and laboratory task. For example, we decide which cereal we prefer in a supe...
Multi-Attribute Gain Loss (MAGL) method to predict choices
Multi-Attribute Gain Loss (MAGL) method to predict choices
Understanding an individual’s decision-making process in the selection, consumption, and disposal of products and services...
A characterization of two-agent Pareto representable orderings
A characterization of two-agent Pareto representable orderings
Partial orders defined on a nonempty set X admitting a two-agent Pareto representation are characterized. The characteriza...
A new type of polytomous surmise system
A new type of polytomous surmise system
Knowledge space theory (KST) is a mathematical theory first proposed by Doignon and Falmagne, 1985, Doignon and Falmagne, ...
Sparse attentional subsetting of item features and list-composition effects on recognition memory
Many mathematical memory models treat an item in a memory task as a list of features comprising a vector (Fig. 1a). Featur...
Mathematical self-determination theory II: Affine space representation
Self-determination theory (SDT) is a theory of motivation (Deci and Ryan, 1985, Deci and Ryan, 2000), a theory about exter...
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