  Research in natural language processing has demonstrated that the quality of
generations from trained autoregressive language models is significantly
influenced by the used sampling strategy. In this study, we investigate the
impact of different sampling techniques on musical qualities such as diversity
and structure. To accomplish this, we train a high-capacity transformer model
on a vast collection of highly-structured Irish folk melodies and analyze the
musical qualities of the samples generated using distribution truncation
sampling techniques. Specifically, we use nucleus sampling, the recently
proposed "typical sampling", and conventional ancestral sampling. We evaluate
the effect of these sampling strategies in two scenarios: optimal circumstances
with a well-calibrated model and suboptimal circumstances where we
systematically degrade the model's performance. We assess the generated samples
using objective and subjective evaluations. We discover that probability
truncation techniques may restrict diversity and structural patterns in optimal
circumstances, but may also produce more musical samples in suboptimal
circumstances.
