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Nucleus Sampling From Scratch
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Nucleus Sampling From Scratch

HardPython

Problem

Implement nucleus sampling (top-p sampling) from scratch in Python, ensuring efficient token selection and probability normalization.

Implement sample_top_p(probabilities, p, seed), where probabilities is a non-empty list of nonnegative numeric token probabilities, p is in (0, 1], and seed makes sampling reproducible. Return the selected token index as an integer. Normalize inputs that do not already sum to one, retain the smallest highest-probability set whose cumulative normalized probability is at least p, renormalize that set, and sample one index from it.

Constraints

  • 1 <= len(probabilities) <= 500
  • Each probability is a nonnegative integer or floating-point value
  • sum(probabilities) > 0
  • 0 < p <= 1
  • seed is an integer
  • Return the original token index, not its rank among sorted probabilities

Function Signature

def sample_top_p(probabilities, p, seed):
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