Push-Pull Geometry in Representation Space

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

• shared geometry of representation and behaviorconcept0.770
  The bidirectional correspondence M_h ↔ M_y, indicating that geometry in representation is not incidental but causally shapes behavior.
• There is a bidirectional relationship between the geometry of representation and behavior across tasks and modalities.claim0.752
  Author’s interpretive claim that the shared geometry is general and robust.
• Concept Direction in Representation Spaceconcept0.750
  A vector in activation space aligned with a behavioral concept; core object manipulated by RepE methods
• Linear representationconcept0.745
  The idea that features are encoded as directions in activation space.
• representation manifoldconcept0.742
  One-dimensional curved surface in internal activation space; the paper demonstrates alignment with behavior manifold.
• bidirectional relationship between representation and behavior geometryconcept0.741
  The finding that steering along M_h yields M_y behavior, and optimizing for M_y paths recovers M_h trajectories.
• Structure in representationsconcept0.740
  The central question of whether representational geometry implies corresponding computational structure
• representation geometry and behavior geometry are bidirectionally alignedclaim0.738
  Core finding: the structure models use internally (representations) is precisely reflected in their external behavior (outputs).