Fundamental Law of Memory Recall

Abstract

Free recall of random lists of words is a standard paradigm used to probe human memory. We proposed an associative search process that can be reduced to a deterministic walk on random graphs defined by the structure of memory representations. This model makes a parameter-free prediction for the average number of memory items recalled ($RC$) out of $M$ items in memory: $R=\sqrt{3\pi M/2}$. This prediction was verified in a large-scale crowd-sourced free recall and recognition experiment. We uncovered a novel law of memory recall, indicating that recall operates according to a stereotyped search process common to all people.

9 pages, 2 figures in the main text, 6 pages and 2 figure in supplementary material