community
active
leiden_hybrid_concepts
label: haiku
community:leiden_hybrid_concepts-run4-c3-c0-c6Combinatorial constraints on emergent ordering in networks
Explores how interaction graph structure and domain-wall formation determine whether systems spontaneously organize into complex patterns across scales.
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Claims (1)
- Multiscale systems like those prevalent in biology are capable of organizing into complex patterns, whereas rudimentary language models are challenged by long sequences of outputs.Conclusion about why biology organizes complexity well and flat LLMs do not
Findings (1)
- Free-energy scaling under domain-wall formation in Potts, autoregressive, and hierarchical networks shows that combinatorics of interactions on a graph prevent or allow spontaneous ordering.Core result demonstrating topological constraints on self-organization