# Fundamental Law of Memory Recall

## TL;DR

This paper introduces a universal law of memory recall based on an associative search model, predicting the average number of items recalled from memory, validated through large-scale experiments.

## Contribution

It proposes a parameter-free, deterministic model of memory recall that accurately predicts recall capacity across individuals, revealing a common stereotyped search process.

## Key findings

- Predicted recall capacity matches experimental data
- Discovered a universal law of memory recall
- Validated model with large-scale crowd-sourced experiments

## 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.