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9

Very many references may easily be found with a Google search for "mathematical model memory". Probably the most classic and iconic reference is Atkinson and Shiffrin (1965), which is also described on Wikipedia. Its three components and their relationships are nicely encapsulated in this figure: Many other, lesser-known mathematical models of memory ...


6

the question which of these two descriptions is correct? is perhaps natural in the context of, say, someone studying for an examination. epistemologists might suggest that a better formulation would be is either of these correct? however, as stated here there are clear reasons for preferring the first formulation to the second. I shall first explain why, ...


5

Thoughts on the paper The paper appears to provide a high level overview of the role of mathematics in cognitive science. I'm not a sufficient expert in the overall field of cognitive science where I'd feel comfortable to truly judge the accuracy of the overall synthesis that Andler (2012) provides. That said, much of the paper is about providing examples ...


4

Thanks for sharing the article. I read the paper and what I take from it is a rather pessimistic view. He suggests that there is a crucial need for overarching proper mathematical modeling, but he makes it sound this is also a huge obsticle and we must wait (longer than a young persons academic career) to see the fruits of it. I'm coming from a theoretical ...


3

Semantic foraging in memory is another nice example: concepts in memory can be represented spatially as locations in multidimensional space, and the route we travel in that 'space' has a lot in common with the optimal foraging movements animals adopt. http://www.indiana.edu/~clcl/Papers/HTJ_Foraging.pdf


3

Here are a few off the top of my head from neuroscience: neural activity may primarily exist on low dimensional attractors. reconstructing PET signal origins from emitted gamma rays It's widely believed our brains are gyrencephalic (wrinkly) to maximize surface area. Various distance metrics (Euclidean, Mahalanobis) are common tools for clustering data, ...


3

If you have a physics background, you may be particularly interested in Sparse Distributed Memory, a model that provides a number of psychologically plausible characteristics, and is also neuroscientifically plausible. The model and some of its characteristics are summarized in this paper. Many great references have been provided by Nick Stauner (and I ...


1

Here is the illustrate of both equation To make them visible at same time, I changed 100 to 1 and set memory strength as 1. They look alike.


1

Though not a direct bridge between Linguistics and Cognitive Science, Semasiographic communication systems are a ripe territory for the studio of Mereology. Off-hand, consider: Dewalque, A. Brentano and the parts of the mental: a mereological approach to phenomenal intentionality. Phenomenology and the Cognitive Sciences, September 2013, Volume 12, Issue ...



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