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About this paper

Xiao-Wen Yang, Ziyu Han, Xi-Hua Zhang, Wen-Da Wei, Jie-Jing Shao, Lan-Zhe Guo, Yu-Feng Li

Researchers at Nanjing University developed the STARS framework to enable reliable test-time scaling in Looped Language Models by stabilizing their recurrent latent dynamics. This method, which integrates Jacobian Spectral Radius Regularization with random loop sampling, prevented performance collapse and enhanced reasoning quality across various mathematical tasks, achieving consistent 100% accuracy on multi-digit addition.

Key insights

  • Normalization layer placement (internal vs. external) dictates a fundamental trade-off in LoopLMs between maintaining effective information flow for deep reasoning and ensuring stable, bounded latent states.
  • Standard remedies like Prelude/Coda layers, random loop sampling, and L2 regularization largely fail to address the core stability issues that cause performance collapse in recurrent LLMs.
  • Effective latent reasoning in iterative systems corresponds to the convergence of hidden states towards stable and effective fixed points in a dynamical system.

Summary by alphaXiv.

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