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Sagan

Paper

Sampling More, Getting Less: Calibration is the Diversity Bottleneck in LLMs

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AI summary

The authors diagnose why LLMs collapse into repetitive, low-diversity outputs even when many valid continuations exist. They introduce a "validity-diversity" framework showing that the problem stems from two forms of miscalibration: (1) valid tokens aren't reliably ranked above invalid ones (order calibration), so sampling methods must trade validity for diversity, and (2) probability mass is overly concentrated on a few valid options with a long tail of mixed valid/invalid tokens (shape calibration). These local failures compound across decoding steps, sharply reducing sequence-level diversity. Experiments across 14 models confirm the pattern.

Main takeaways:

  • Diversity collapse isn't just a sampling algorithm problem—it's baked into LLM probability distributions via miscalibration
  • Order calibration failure: valid tokens don't consistently rank above invalid ones, forcing validity-diversity tradeoffs
  • Shape calibration failure: probability mass is spiked on few valid options, with a heavy tail mixing valid and invalid
  • Local miscalibration at each step compounds across decoding, producing large sequence-level diversity losses
  • Observed across 14 models of different families and scales, suggesting a fundamental distribution problem