(i) do pattern density (ρd) and prior–target distance (dr) serve as predictive correlates of few-shot thresholds?

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• Do pattern density ρd and prior-target distance dr serve as predictive correlates of few-shot thresholds?question0.963
  First E2 research question directly testing UCCT's core predictive claims
• Few-shot thresholds and transition widths track ρd/dr at fixed computational complexityclaim0.830
  E2 main interpretive claim.
• The ordering of few-shot thresholds k50 and transition widths aligns with k50 ∝ dr/ρd.claim0.829
  Interpretation of E2 results.
• S = ρd - dr - log k predicts shot midpoints across different bases, tasks, and modelsclaim0.808
  Predictive practical utility claim.
• S = ρd - dr - log k is a predictive correlate of when few-shot behavior flipsclaim0.806
  Claim that S predicts threshold midpoints across different bases, tasks, and models
• Target Pattern Cohesion (ρd)concept0.796
  Measures how tightly the target pattern PT clusters in representation space; one of three components of S
• S = ρd − dr − log k is a predictive correlate of anchoring success across few-shot, SFT, and CoT.claim0.793
  UCCT's practical utility claim.
• Shot midpoints follow k50 ∝ dr/ρd; higher cohesion and lower mismatch yield fewer required examplesclaim0.759
  Core quantitative prediction of UCCT validated by E2 threshold ordering