Equation 27 · Cognitive Bias Was the Label; Attention Sink Is the Suspect
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
the sink-attributable fraction. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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subscript
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
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Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Sorting what stands on which footing is worth doing plainly rather than blending it into a closing flourish. Observed: the paper’s measured seventy-three-of-a-hundred-and-four primacy dominance, its SPEM protocol, its appendix regression coefficients and standard errors, and the exact absence of any attention-sink citation in the published camera-ready’s Related Work section or bibliography, all drawn from the primary source and confirmed directly against it. Derived: the binomial null-model calculation showing the measured effect is not a threshold artifact, computed once from the paper’s own stated sample size and threshold rule using nothing but arithmetic. Proposed: the sink-attributable…
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Sorting what stands on which footing is worth doing plainly rather than blending it into a closing flourish. Observed: the paper’s measured seventy-three-of-a-hundred-and-four primacy dominance, its SPEM protocol, its appendix regression coefficients and standard errors, and the exact absence of any attention-sink citation in the published camera-ready’s Related Work section or bibliography, all drawn from the primary source and confirmed directly against it. Derived: the binomial null-model calculation showing the measured effect is not a threshold artifact, computed once from the paper’s own stated sample size and threshold rule using nothing but arithmetic. Proposed: the sink-attributable fraction , defined with explicit units, a stated protocol built entirely from already-released tools, and a numeric threshold on either side of which the dispute resolves — but not computed, because computing it needs compute this article does not have. Not performed: any training run, any ablation on the exact checkpoints this paper used, and any direct measurement of how much of Guo and Vosoughi’s own reported effect a sink accounts for.
For background, read the article’s source list.
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