claim

active

claim:s-d-dr-log-k-is-a-predictive-correlate-of-when-few-shot-behavior-flips

S = ρd - dr - log k is a predictive correlate of when few-shot behavior flips

Claim that S predicts threshold midpoints across different bases, tasks, and models

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

Findings (1)

finding

Correlation between layer-wise S scores and task accuracy: ρ = -0.73, p < 0.001
supports
Shows S predicts anchoring effectiveness.

Communities (3)

community

Few-shot anchoring & latent structure
members_of
How minimal examples disambiguate and recruit latent arithmetic/reasoning interpretations in LLMs
Anchoring score threshold theory
members_of
Predictive framework using S = ρd − dr − log k to explain few-shot performance phase transitions.
Anchoring score S for few-shot learning transitions
members_of
Predictive metric S = ρd - dr - log k quantifies when LLM behavior sharply transitions across few-shot, SFT, and CoT settings via layer-wise calibration.

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.

S = ρd − dr − log k is a predictive correlate of anchoring success across few-shot, SFT, and CoT.claim0.893
UCCT's practical utility claim.
S = ρd - dr - log k predicts shot midpoints across different bases, tasks, and modelsclaim0.873
Predictive practical utility claim.
Linear combination ρd – dr – log k yields a predictive correlate of success.hypothesis0.828
Implicit hypothesis behind S form.
The additive form S = ρd - dr - log k is parsimonious and aligns with log-odds intuitionclaim0.818
Justification for the linear combination
Do pattern density ρd and prior-target distance dr serve as predictive correlates of few-shot thresholds?question0.813
First E2 research question directly testing UCCT's core predictive claims
(i) do pattern density (ρd) and prior–target distance (dr) serve as predictive correlates of few-shot thresholds?question0.806
First research question in Experiment 2
The ordering of few-shot thresholds k50 and transition widths aligns with k50 ∝ dr/ρd.claim0.792
Interpretation of E2 results.
Few-shot thresholds and transition widths track ρd/dr at fixed computational complexityclaim0.786
E2 main interpretive claim.