Layer-wise anchoring peaks in a 'Goldilocks zone' between early and late layers.

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

• Mid-layers (6-15) achieve peak anchoring because semantic structure differentiates while maintaining coherence, forming a Goldilocks zoneclaim0.858
  Interpretation of E3 layer-wise results; motivates targeted UCCT interventions at layers 8-12
• Layer-wise trajectories show early enrichment, mid-layer alignment, and late re-clustering.claim0.787
  Qualitative geometry pattern.
• Goldilocks zoneconcept0.772
  Middle layers (e.g., 6-15) where anchoring is maximal; coined from metaphor.
• Peak Layer-wise Anchoring Score (S_max)concept0.768
  Maximum of S(ℓ) across layers; geometry summary used to predict θ50
• Layer-wise geometry shows early dip, mid-layer alignment, and late standardization across tasksclaim0.764
  Qualitative pattern from E3.
• Do layer-wise geometric signatures (τ_peak, AUS_N) correlate with behavioral thresholds (k50)?question0.760
  E3 research question testing whether internal representations provide a geometry-to-behavior bridge
• The model converges to a more stable truth direction in middle-to-late layers, as evidenced by increasing cosine similarity between layer-wise probes.claim0.755
  Supported by the geometric transition visible in cosine similarity heatmaps for F0-F3.
• Math and code tasks show strongest mid-layer anchoring on LLaMA (S ≈ −1.65 at layers 8-12)finding0.753
  Task-specific E3 finding showing compositional reasoning requires deeper processing