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Log-Depth Recurrent Language Modeling

arXiv cs.LG LLMs & Foundation Models Yiqin Wang, Nuri Cingillioglu, Charles Pert 2026-09-23

TL;DR - This paper introduces an autoregressive language-model architecture based on balanced-tree recursive operators, achieving logarithmic computational depth and linear runtime. Early experiments show robust length extrapolation and performance approaching ALiBi-based Transformers.

  • Computes representations for all prefixes in logarithmic depth, enabling more parallelism than conventional recurrent models.
  • Requires linear runtime in the number of input tokens, avoiding Transformers’ quadratic scaling.
  • Extends balanced-tree sequence-encoding operators to autoregressive prediction.
  • Offers a potential alternative to Transformers, though the experiments provide only an initial characterization.

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