Large Associative Memory Problem in Neurobiology and Machine Learning
Dmitry Krotov, John Hopfield
arXiv 2020 · 2020
Large Associative Memory Problem rewrites associative memory using coupled feature neurons, memory neurons, an energy function, and Lagrangian functions so that all interactions are pairwise yet recover Dense and modern Hopfield behavior. Large Associative Memory Problem shows that with appropriate choices of activation and Lagrangian functions, the effective dynamics match Dense Associative Memories and modern Hopfield networks, enabling storage of N_mem ∼ min(N_f^{n−1}, N_h) or even exponential in N_f memories without many‑body synapses.