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Equation 19 · Part 7 · Cognitive Bias Was the Label; Attention Sink Is the Suspect

Denominator: SPEM_softmax

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

What this part means

The complete quantity below the fraction bar; it must be nonzero for this division.

Its job in the formula

SPEMsM_softmax occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

The passage around this formula

…discriminator, and this article’s one genuine contribution is naming and specifying the measurement that would be. Call it the sink-attributable fraction, ϕsink\phi_{\mathrm{sink}} , defined 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…

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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

These citations provide research context; check each source for the exact claim it supports.