Questions tagged [mathematical-psychology]

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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32
votes
4answers
3k 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 ...
21
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1answer
2k views

How well can a human-generated “random number” be predicted?

For example, if i ask an individual to write a 20-number-long sequence of random numbers from 0 to 10. How well can I predict the 20th number from the initial 19? More generally, How well can ...
11
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3answers
8k 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 ...
22
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2answers
2k 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 ...
19
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5answers
3k 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).
17
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2answers
10k views

Which equation is Ebbinghaus's forgetting curve and what do the constants represent?

First off, I've come across two different forgetting curve equations. $$R = e^{-\large \frac{t}{s}}$$ where $R$ is retention, $t$ is time and $s$ is strength can be found on Wikipedia. And $$b = \...
10
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4answers
2k 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 ...
9
votes
1answer
394 views

The mind as a state of matter or physical system?

What examples of attempts to formalize a principled physical basis for consciousness and/or a general theory of the mind exist? I read a fascinating ArXiV preprint last year called Consciousness as a ...
10
votes
1answer
537 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 ...
7
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2answers
550 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 (...
12
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3answers
577 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 ...
12
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3answers
440 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 ...
9
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2answers
7k views

Calculating d-prime

I'm currently working on a research that has to use and calculate D Prime values for a task where subjects are presented an image at different speeds and they have to report if they saw the image or ...
9
votes
1answer
156 views

What are some good references for preprocessing and analysis of the P300 response from EEG data in Python?

I have just started to work on problems in neuroscience on my own. I sought to analyze the P300 response from EEG data because I was trying to understand a Kaggle.com challenge that used it. I found ...
9
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4answers
413 views

Can humans be reduced to a function?

Based on an article by UK Essays, we are nothing more than robots that operate based on our past experience and other factors like amount of neurotransmitters, hormones, and other chemicals, trying to ...