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Toward a unified perspective on assessment models, part I: Foundations of a framework
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A proposal for a Riemannian face space and application to atypical vs. typical face similarities
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Lexicographic Majority
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On the multiplicative inequality
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Sense of agency in operations with delays: A free-energy model and application to interface design
Sense of agency in operations with delays: A free-energy model and application to interface design
Volumes 120–121, June–August 2024, 102859Author links open overlay panel, Highlights•Influence of delay on sense of agency...
The mathematical psychology of Peter Fishburn
The mathematical psychology of Peter Fishburn
Throughout his career, Peter Fishburn was interested in von Neumann-Morgenstern expected utility theory. Suppose an act or...
RT-MPTs: Process models for response-time distributions with diffusion-model kernels
RT-MPTs: Process models for response-time distributions with diffusion-model kernels
Volumes 120–121, June–August 2024, 102857Author links open overlay panel, , Highlights•Multinomial processing-tree models ...
The generalized Robbins–Monro process and its application to psychophysical experiments for threshold estimation
The generalized Robbins–Monro process and its application to psychophysical experiments for threshold estimation
One main research topic in classical psychophysics is to explore the relation between physical stimuli and psychological s...
Two peas in a pod: Discounting models as a special case of the VARMAX
Two peas in a pod: Discounting models as a special case of the VARMAX
Psychological processes unfold over time, implying that we need to actively consider the temporal nature of these processe...
On the (non-) reliance on algorithms—A decision-theoretic account
On the (non-) reliance on algorithms—A decision-theoretic account
In 2014, the media reported that Deep Knowledge Venture (DKV), a Hong Kong venture capital company, had brought a machine ...
A tutorial on Bayesian inference for dynamical modeling of eye-movement control during reading
A tutorial on Bayesian inference for dynamical modeling of eye-movement control during reading
During text reading, we generate 3 to 4 fast eye movements (saccades) per second to move words into the center of the visu...
Dynamic noise estimation: A generalized method for modeling noise fluctuations in decision-making
Dynamic noise estimation: A generalized method for modeling noise fluctuations in decision-making
Computational modeling has helped cognitive scientists, psychologists, and neuroscientists to quantitatively test theories...
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...
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...
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...
Mathematical self-determination theory I: Real representation
Motivation has many definitions (e.g., Deci, 1975, Ryan and Deci, 2000a, Weiner, 1990, White, 1959). Self-determination th...
Bayesian stopping
Stopping rules in statistics are rules for determining when a scientist can or should stop collecting data and make an inf...
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