Does structure in representations imply structure in computation?

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

• Structure in representationsconcept0.858
  The central question of whether representational geometry implies corresponding computational structure
• Structure in computationconcept0.788
  The actual computational operations a model performs, which the paper argues need not mirror representational structure
• We hypothesize that representation geometry drives model behavior — the geometric structure of internal representations causally shapes what models do externally.hypothesis0.778
  The causal hypothesis motivating the use of causality (intervention) as the lens connecting representation and behavior geometry.
• Neural representations carry rich geometric structure; but does that structure causally shape behavior?quote0.778
  Opening sentence framing the paper's core inquiry.
• Higher-Order Representationsconcept0.773
  Representations of one's own mental states; associated with consciousness in higher-order theories.
• The degree of similarities which exist in a structure must correspond exactly to the degree of similarity of the conditions there, and the degrees of differences which exist in a structure must also correspond to the degrees of difference in the conditions there.claim0.769
  The profound principle that underlies all living structure; symmetry as the mathematical trace of necessity.
• There is a bidirectional relationship between the geometry of representation and behavior across tasks and modalities.claim0.761
  Author’s interpretive claim that the shared geometry is general and robust.
• How do representations differ or converge between architectures, tasks, and modalities?question0.757
  Broader research question MAS is positioned to address, citing multiple recent works.