← All parts of this equation

Equation 13 · Part 1 · The Hardest Unsolved Problems in Frontier AI Model Comparisons

Symbol g_b

gbg_b
gbg_b

What this part means

the mapping from ability to expected score that is specific to benchmark b and not shared across benchmarks.

Its job in the formula

gbg_b is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

where θi\theta_i is some unobservable underlying ability vector for model i , gbg_b is the mapping from ability to expected score that is specific to benchmark b and not shared across benchmarks, δi,b\delta_{i,b} is a contamination or leakage term specific to that model-benchmark pair, and εi,b\varepsilon_{i,b} is sampling and decoding noise.

The passage around this formula

where θi\theta_i is some unobservable underlying ability vector for model i , gbg_b is the mapping from ability to expected score that is specific to benchmark b and not shared across benchmarks, δi,b\delta_{i,b} is a contamination or leakage term specific to that model-benchmark pair, and εi,b\varepsilon_{i,b} is sampling and decoding noise. Because gbg_b differs across benchmarks by…

Read this part in the article →

Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

See this notation across published equations →

Sources cited in the article section

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