Equation 6 · Part 3 · From Origins to Frontier: A History of Frontier AI Model Comparisons
Symbol B
What this part means
modeled as a logistic function of the difference between two scalar ratings: [displayed formula].
Its job in the formula
B occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.
Full expression→Symbol B→Article meaning
Where the article explains it
Pairwise votes of this kind are naturally converted into a single continuous rating using a Bradley–Terry-style model — the same functional form used for chess Elo ratings — in which the probability that a rater prefers system A over system B is modeled as a logistic function of the difference between two scalar ratings: .
The passage around this formula
…kind are naturally converted into a single continuous rating using a Bradley–Terry-style model — the same functional form used for chess Elo ratings — in which the probability that a rater prefers system A over system B is modeled as a logistic function of the difference between two scalar ratings: . That formula encodes a specific, testable assumption: that pairwise preference between any two systems can be explained by each system’s position on one shared scale, and that preferences are…
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
Open the illustrated variables: a letter stands for a value guide →
See this notation across published equations →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.