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Equation 19 · Part 6 · Cognitive Bias Was the Label; Attention Sink Is the Suspect

Numerator: SPEM_sigmoid

ϕsink=1−SPEMsigmoidSPEMsoftmax\phi_{\mathrm{sink}} = 1 - \frac{\mathrm{SPEM}_{\mathrm{sigmoid}}}{\mathrm{SPEM}_{\mathrm{softmax}}}
SPEMsigmoid\mathrm{SPEM}_{\mathrm{sigmoid}}

What this part means

The complete quantity above the fraction bar.

Its job in the formula

SPEMsM_sigmoid occurs above the fraction bar. The numerator is divided by the entire denominator below it.

The passage around this formula

…as ϕsink=1−SPEMsigmoidSPEMsoftmax\phi_{\mathrm{sink}} = 1 - \frac{\mathrm{SPEM}_{\mathrm{sigmoid}}}{\mathrm{SPEM}_{\mathrm{softmax}}}. where SPEMsoftmax\mathrm{SPEM}_{\mathrm{softmax}} is Guo and Vosoughi’s own Jensen–Shannon-divergence effect magnitude, measured by their own published protocol, on an ordinary sink-forming model, and SPEMsigmoid\mathrm{SPEM}_{\mathrm{sigmoid}} is the identical measurement on an architecture- and data-matched twin trained with sigmoid attention instead of softmax — the exact contrast Gu and colleagues’ released training pipeline was built to produce [ 3 ] . The quantity is dimensionless, bounded in the…

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Learn the underlying idea

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

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Sources cited in the surrounding passage

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