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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 ...


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, ...


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 ...


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


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, ...


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.

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