Pullback Geometry (Behavior-Aware Metric)

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

• Pullback Steeringmethod0.760
  The method of optimizing steering interventions in activation space to produce outputs that follow the behavior manifold, independent of the representation manifold.
• shared geometry of representation and behaviorconcept0.743
  The bidirectional correspondence M_h ↔ M_y, indicating that geometry in representation is not incidental but causally shapes behavior.
• Geometry-behavior correlate robust to pooling strategy, distance metric, and frozen encoderfinding0.734
  Robustness checks confirm sign stability.
• representation geometry and behavior geometry are bidirectionally alignedclaim0.730
  Core finding: the structure models use internally (representations) is precisely reflected in their external behavior (outputs).
• causal shaping of behavior by representation geometryconcept0.728
  Central question: does geometry in activation space causally determine behavior?
• geometry-based steeringconcept0.728
  Paradigm of finding the right geometry (manifold) for principled control.
• geometry-to-behavior correlateconcept0.725
  Relationship where geometry summaries predict behavioral thresholds.
• Optimally steering model behavior requires isolating concept geometry and defining operators to navigate it.claim0.723