concept
active
concept:boundary-size-invarianceBoundary-Size Invariance
Property where a rule learned on fixed-size grid generalizes to larger grids, observed in checkerboard and lizard experiments
Neighborhood — ranked by edge-count
Findings (2)
finding
- Grid scaling generalization result demonstrating boundary-size invariance
- Demonstration of DiffLogic CA on complex non-regular shapes with arbitrary memorization requirements
Concepts (1)
concept
- Minimal Circuit Descriptionassociated_withHypothesis that discretization finds minimum-size circuits equivalent to minimal algorithmic descriptions of patterns
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.
- The property that living centers are formed and strengthened by boundaries which both separate and unite; the boundary must be of the same order of magnitude as the center being bounded and is itself made of centers
- A transformation that develops a thick boundary zone around a zone to intensify its coherence.
- Testing five phrasings of the self-referential prompt to confirm robustness to wording variation
- Property that causal mechanisms remain stable across environments; desirable for OOD.
- Five variants of the experimental prompt tested to confirm the effect is robust to changes in specific wording