claim
active
claim:transition-widths-k-increase-with-mismatch-d-p0-pt-evidenced-by-wider-widths-from-b10-to-b9Transition widths ∆k increase with mismatch D(P0 ∥ PT), evidenced by wider widths from B10 to B9
Interpretive claim linking phase width in E2 to mismatch term in UCCT
Source paper
extracted_from(2025) · Edward Yi Chang · Kaya, Zeyneb N. · Ethan Chang
Neighborhood — ranked by edge-count
Findings (2)
finding
- Widest transition in E2; consistent with lower prior density requiring more shots for reliable threshold crossing
- B10 phase width Δk = 1.21 ± 0.18supportsTransition width (k90 – k10) for B10.
Communities (3)
community
- Few-shot anchoring & latent structuremembers_ofHow minimal examples disambiguate and recruit latent arithmetic/reasoning interpretations in LLMs
- Anchoring score threshold theorymembers_ofPredictive framework using S = ρd − dr − log k to explain few-shot performance phase transitions.
- Empirical characterization of k50 midpoints and transition widths across transformer models, tracking how pretraining density ρd/dr predicts in-context learning thresholds.
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- Shot midpoint ordering k50(B10) < k50(B8) ≈ k50(B9) and transition widths correlate with mismatch D(P0∥PT)hypothesis0.794Testable prediction for Experiment 2
- Interpretation of E2 results.
- E2 main interpretive claim.
- E2 asymmetric transfer finding consistent with UCCT's mismatch-driven OOD fragility
- Interpretation of cross-base transfer asymmetry.
- Interpretation that pattern density from pretraining determines few-shot requirements
- Cross-base fine-tuning yields asymmetric transfer: B10 transfers most robustly, B9 leastfinding0.728In-base gains accompanied by uneven OOD drops; higher-density priors more robust.
- Hypothesis: Shot midpoint ordering k50(B10) < k50(B8) ≈ k50(B9) follows pretraining exposure densityhypothesis0.728E2 prediction that bases with higher pretraining exposure require fewer shots to cross threshold