English

Low Perplexity is Repetition: A One-Dimensional Self-Conditioning Attractor in Continuous Diffusion LMs

Computation and Language 2026-07-01 v1

Abstract

Continuous diffusion language models such as ELF report record-low generative perplexity (Gen-PPL). We find a catch: these models repeat far more than human text, and Gen-PPL rewards rather than penalizes that repetition, so its low scores overstate quality. Strip the repetition and ELF-B's Gen-PPL rises from 19.519.5 to 27.727.7; the smallest model even posts the best Gen-PPL because it repeats most. We trace the repetition to its source: a contractive attractor along a \emph{single direction} in the self-conditioning feedback loop, the loop that feeds each step's clean estimate into the next. Because the failure is one-dimensional, a one-dimensional fix suffices, and we propose one. \textbf{ACE} (Attractor-Contrast-Escape) subtracts that single, label-free direction from the feedback at each step. Estimated once on the 105105M model, the direction cuts repetition to near the human level while keeping quality competitive, and transfers near-unchanged to the 342342M and 652652M models and across samplers; the same recipe recovers useful directions on other architectures. Since Gen-PPL itself rewards repetition, we instead measure the compute each fix needs to produce human-clean text, where ACE is 1.51.5--5×5\times cheaper.

Cite

@article{arxiv.2607.00588,
  title  = {Low Perplexity is Repetition: A One-Dimensional Self-Conditioning Attractor in Continuous Diffusion LMs},
  author = {Shuai Zhang and Zijie Chen and Hongliang He and Lun Du and Zhenzhong Lan},
  journal= {arXiv preprint arXiv:2607.00588},
  year   = {2026}
}