For questions about the mathematical approach to psychology concerned with analytic modeling of motor/perceptual/cognitive processes and quantifying stimulus and response.

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24
votes
4answers
1k views

What are good examples of applying dynamical systems in cognitive science?

I'm a mathematics and physics student very much interested in cognitive science. Recently I've been hearing about "a new approach" in cognitive science via dynamical system theory. What are some ...
16
votes
2answers
730 views

Applications of computational learning theory in the cognitive sciences

Computational learning theory (CoLT) is a branch of theoretical computer science associated with the mathematical analysis of machine learning. A lot of the early ideas of the field take inspiration ...
9
votes
3answers
965 views

What areas of mathematics support the study of cognitive science?

Which areas of mathematics can be formally studied in a cognitive science major? Or: which areas of mathematics can support the study of brain. Some areas that seem relevant would be: mathematical ...
14
votes
0answers
306 views

Evolutionary game theory in the cognitive sciences

Game theory models something very relevant to psychologists (in particular social psychologists): conflict and cooperation between decision-makers. Unfortunately, classical game theory demands that ...
13
votes
2answers
808 views

Is there an R implementation of the linear ballistic accumulator model or Ratcliff's diffusion model for measuring response time and accuracy?

I am looking for an implementation of the linear ballistic accumulator model or Ratcliff's diffusion model (e.g. in R, MATLAB, or Python).
7
votes
2answers
325 views

Behaviorist interpretations of decision field theory

Decision field theory is usually presented as a dynamic cognitive model of decision making. However, in its basic form, the theory seems to only be concerned with behavior (decisions) and stimuli ...
7
votes
3answers
421 views

Introductory resources on bayesian modeling for cognitive sciences

On Cross Validated there is a great question about best introductory books for bayesian statistics. Also, Jeromy Anglim blogged recently about use of JAGS, rjags, and Bayesian Modelling, with some ...
7
votes
3answers
431 views

What are the mathematical models of memory?

Are there mathematical models of memory in humans or animals? I want to know how neuroscientists use mathematics to describe memory in living creatures. How do neuroscientists model memory and show ...
10
votes
3answers
210 views

Is there a random walk theory that can account for situations with more than two choices?

In the article "Two-stage Dynamic Signal Detection: A Theory of Choice, Decision Time, and Confidence" from 2010 by Pleskac and Busemeyer, a random walk model is presented for situations where a ...
6
votes
0answers
246 views

Refinements of Rescorla-Wagner model of classical conditioning

The Rescorla-Wagner model is one of the most commonly discussed mathematical models of classical conditioning. It was wildly popular when it came out in 1972, and very successful. The same math, is ...