Stored pattern
Current state
Controls
Energy: —
Overlap m₁: —
Capacity α: —
Converged: —
A Hopfield network stores binary patterns as energy minima. Synaptic weights are set by Hebbian learning (W = (1/N)Σ ξᵘξᵘᵀ). Starting from a noisy or partial pattern, asynchronous updates descend the energy landscape to retrieve the stored memory — until the capacity limit α ≈ 0.14N is exceeded and spurious states appear.