Formula

Conditional Probability of Pairwise Preference

The formula Pr(yk1yk2x)\text{Pr}(\mathbf{y}_{k_1} \succ \mathbf{y}_{k_2} | \mathbf{x}) represents the conditional probability that an outcome yk1\mathbf{y}_{k_1} is preferred to, or ranked higher than, another outcome yk2\mathbf{y}_{k_2}, given a specific input context x\mathbf{x}. The symbol \succ denotes preference or a 'greater than' relationship in this context. This type of expression is fundamental in preference learning and ranking models, where the goal is to learn a function that can predict the relative order of items based on input features.

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Updated 2025-10-08

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Ch.2 Generative Models - Foundations of Large Language Models

Foundations of Large Language Models

Foundations of Large Language Models Course

Computing Sciences