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leiden_hybrid_concepts
label: sonnet
community:leiden_hybrid_concepts-run2-c26Anchoring score threshold theory
Predictive framework using S = ρd − dr − log k to explain few-shot performance phase transitions.
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Bridges (4)
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Claims (10)
- Few-shot thresholds and transition widths track ρd/dr at fixed computational complexityE2 main interpretive claim.
- S = ρd - dr - log k is a predictive correlate of when few-shot behavior flipsClaim that S predicts threshold midpoints across different bases, tasks, and models
- S = ρd - dr - log k predicts shot midpoints across different bases, tasks, and modelsPredictive practical utility claim.
- S = ρd − dr − log k is a predictive correlate of anchoring success across few-shot, SFT, and CoT.UCCT's practical utility claim.
- Small prompt changes can yield threshold-like shifts because S crosses the critical value ScAuthors' explanation for abrupt behavioral changes
- The additive form S = ρd - dr - log k is parsimonious and aligns with log-odds intuitionJustification for the linear combination
- The anchoring score S is a predictive correlate of when anchoring succeeds and why small prompt changes yield threshold-like shifts.A central claim about the operational value of S.
- The ordering of few-shot thresholds k50 and transition widths aligns with k50 ∝ dr/ρd.Interpretation of E2 results.
- Threshold-like performance flips occur when anchoring strength S crosses a task-dependent critical value Sc.Interpretation of abrupt behavior changes.
- Transition widths ∆k increase with mismatch D(P0 ∥ PT), evidenced by wider widths from B10 to B9Interpretive claim linking phase width in E2 to mismatch term in UCCT