Hopfield Network — Memory Capacity & Retrieval

Network Parameters

Neurons N: 100 Patterns P: 10 Noise level η: 0.10 Recall pattern #: 1 Steps: 20

Load α=P/N: —

Final overlap m: —

Retrieval success: —

Capacity limit: —

Hopfield (1982):
W_ij = (1/N) Σ_μ ξ^μ_i ξ^μ_j
Update: s_i ← sign(Σ_j W_ij s_j)
Overlap m_μ = (1/N)⟨s·ξ^μ⟩

Critical load: α_c ≈ 0.138
Above capacity → spurious states appear.

Hopfield Network — Memory & Capacity

Network Parameters