Fundamental Law of Memory Recall

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 = √3π 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.