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finding:k50-ordering-b10-0-28-b8-1-83-b9-2-91-follows-pretraining-density

k50 ordering: B10 (0.28) < B8 (1.83) < B9 (2.91) follows pretraining density

Monotone ordering consistent with k50 ∝ dr/ρd.

Source paper

extracted_from

The Guanyin Protocol: A Framework for Immediately Establishing an Understanding of Both Causality and Compassion in LLM Systems Using Semantic Anchoring

(2025) · Edward Yi Chang · Kaya, Zeyneb N. · Ethan Chang

Neighborhood — ranked by edge-count

Claims (1)

claim

Few-shot thresholds and transition widths track ρd/dr at fixed computational complexity
supports
E2 main interpretive claim.

Hypotheses (1)

hypothesis

Hypothesis 1 (Threshold Behavior): There exists a task-dependent threshold Sc such that performance exhibits sharp changes as S crosses Sc, with value and transition width depending on model, layer, and pooling
supports
Core testable hypothesis of UCCT about the nature of performance transitions under anchoring

Communities (3)

community

Few-shot anchoring & latent structure
members_of
How minimal examples disambiguate and recruit latent arithmetic/reasoning interpretations in LLMs
Few-shot learning phase transitions in neural networks
members_of
Empirical characterization of k50 midpoints and transition widths across transformer models, tracking how pretraining density ρd/dr predicts in-context learning thresholds.
Few-shot arithmetic learning thresholds
members_of
k50 and phase width metrics for multi-base addition across bases 8, 9, and 10

Related by similarity (8)

cosine ≥ 0.65 · no typed edge

Entities 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) tracks pretraining exposure densityclaim0.870
Interpretation that pattern density from pretraining determines few-shot requirements
Hypothesis: Shot midpoint ordering k50(B10) < k50(B8) ≈ k50(B9) follows pretraining exposure densityhypothesis0.851
E2 prediction that bases with higher pretraining exposure require fewer shots to cross threshold
Shot midpoint ordering k50(B10) < k50(B8) ≈ k50(B9) and transition widths correlate with mismatch D(P0∥PT)hypothesis0.817
Testable prediction for Experiment 2
The ordering of few-shot thresholds k50 and transition widths aligns with k50 ∝ dr/ρd.claim0.768
Interpretation of E2 results.
Higher-density priors (B10) are more robust to cross-base OOD drops than lower-density ones (B9) after fine-tuningfinding0.757
E2 asymmetric transfer finding consistent with UCCT's mismatch-driven OOD fragility
Higher-density priors (B10) are more robust to fine-tuning than lower-density ones (B9).claim0.751
Interpretation of cross-base transfer asymmetry.
B10 shot midpoint k50 = 0.28 ± 0.05 shots with accuracy 94.8 ± 1.2%finding0.741
Lowest threshold condition in E2; near-zero/one-shot threshold consistent with high pretraining density
k50 for base-10 two-digit addition: 0.28 ± 0.05 shotsfinding0.728
Shot midpoint from logistic fit over 10 runs.