Equation 2 · Part 1 · Frontier AI Model Comparisons: A First-Principles Introduction
Symbol theta_i
What this part means
fitted from the specific population of prompts and voters that generated the comparisons , not from a fixed task suite with subscript i (assigned a latent strength , and the estimated probability that system A ’s output is preferred over system B ’s in a given comparison is).
Its job in the formula
thet 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
The relevant object is a Bradley–Terry model: each system i is assigned a latent strength , and the estimated probability that system A ’s output is preferred over system B ’s in a given comparison is
The passage around this formula
…crowdsourcing,” with the underlying statistics resting on a standard paired-comparison model rather than a raw win count [ 6 ] . The relevant object is a Bradley–Terry model: each system i is assigned a latent strength , and the estimated probability that system A ’s output is preferred over system B ’s in a given comparison is
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.
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Sources cited in the surrounding passage
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