Equation 12 · Part 1 · From Origins to Frontier: A History of Frontier AI Model Comparisons
Symbol C
What this part means
C is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Its job in the formula
C is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol C→Article meaning
The passage around this formula
…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 therefore transitive — if raters prefer A to B and B to C , they will prefer A to C . This is a real point of methodological disagreement rather than settled fact. Preferences over open-ended text plausibly depend on the task, the rater, and the specific pairing in ways a single scalar rating cannot capture, and a persistently observed intransitive…
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Sources cited in the article section
- [12] Chatbot Arena: An Open Platform for Evaluating LLMs by Human Preference ↗
- [11] Judging LLM-as-a-Judge with MT-Bench and Chatbot Arena ↗
- [13] Length-Controlled AlpacaEval: A Simple Way to Debias Automatic Evaluators ↗
- [14] LLM Evaluators Recognize and Favor Their Own Generations ↗
These citations provide research context; check each source for the exact claim it supports.