Linear associative memories store up to p_c log p_c / d^2 = 1/2 associations, with optimal weights pushing correct scores just above the extreme value of competing outputs.
& Li, Y.Physics of Language Models: Part 3.3, Knowledge Capacity Scaling Lawsin International Conference on Learning Representations(eds Yue, Y., Garg, A., Peng, N., Sha, F
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Factual recall in linear associative memories: sharp asymptotics and mechanistic insights
Linear associative memories store up to p_c log p_c / d^2 = 1/2 associations, with optimal weights pushing correct scores just above the extreme value of competing outputs.