During an autoregressive text generation process using a sampling-based method, the model has produced the sequence 'The sun is shining and the'. At the current step, the token 'sky' is sampled from the model's output distribution. Based on this single event, what is the complete set of candidate sequences that will be used as the basis for generating the next token?

In an autoregressive text generation process where a single token is chosen by sampling from a probability distribution at each step, the algorithm must keep track of several competing sequences simultaneously to decide which one to extend in the next step.

Candidate Set Composition in Sampling-Based Decoding