community

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leiden_hybrid_concepts

label: sonnet

community:leiden_hybrid_concepts-run2-c137

Hopfield network thermal equilibrium convergence

Lemmas showing ordered phase convergence is invariant to energy levels, window sizes, and pattern count m

1 members. Each node is clickable.

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Drawn from 1 source

The papers/notes whose extracted claims & findings make up this cluster.

Topological constraints on self-organisation in locally interacting systems2 members

Bridges (3)

Other communities that share members with this one — cross-cutting threads or papers that sit at the seam between two themes.

Causal emergence in biological systems1 shared
Hierarchical structure and multiscale coherence in physical systems1 shared
Scaling laws and phase transitions1 shared

Findings (1)

At thermal equilibrium, ability to converge to an ordered phase is independent of energy levels and window sizes (Lemma 1)Scaling argument depends only on perimeter, not details of energy magnitudes or window length