concept
active
concept:topology-of-the-graphtopology of the graph
Graph structure constraining local interactions and ordering
Neighborhood — ranked by edge-count
Papers (1)
paper
Concepts (1)
concept
- locally interacting systemsassociated_withSystems on graph vertices with pairwise edge-prescribed interactions
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- A more complex geometric structure used to characterize in-context learning task representations
- Structural arrangement of interactions on a graph; argued to be the critical determinant of self-organisation capability
- Hamiltonian constructed from adjacency matrix and coupling strengths on a graph
- Central interpretive claim of the paper: the ability to maintain long-range order is determined by interaction topology, not substrate.
- Training environments formalized as graphs where nodes have sensory observations and edges represent actions; used to test structural generalization.
- The interdependence of morphogenetic sequences, where each triggers others to repair the whole environment, analogous to arithmetic operations.
- Technique using principal eigenvectors to identify densest clusters; applied to find principal Markov blanket in simulations.
- The actual computational operations a model performs, which the paper argues need not mirror representational structure