An autoregressive language model is generating text and needs to determine the next token. After processing the existing context (which is stored in its cache), the model's final layer outputs the following probabilities for a small subset of its vocabulary:

• P('mat' | cache) = 0.65
• P('floor' | cache) = 0.25
• P('sky' | cache) = 0.05
• P('the' | cache) = 0.05

According to the standard formula for selecting the single most likely next token, which token will be chosen?

Rationale for Conditioning on the Cache

Explaining the Token Selection Process

The formula ŷ = argmax_y Pr(y|cache) implies that the selection of the next token is a deterministic process, where the single token with the highest calculated probability is always chosen.