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Core recurrence

Depth Control Protocol

Beyond Depth Truncation: Controlled Evaluation of Depth Utilization in Recursive Language Models

Ha Van Dau, Thanh Tung Khuat, Nguyen Thanh Dung

Argues that the standard depth-truncation curve conflates fewer block applications, less distinct computation and an out-of-distribution readout. The Depth Control Protocol adds positive and negative controls, including running the full budget while executing only one distinct iteration, to measure whether a recurrent model really uses its depth.

Inside the method

Truncation vs controls: same applications / fewer distinct iterations / readout shift

Simplified conceptual schematic. Consult the paper for the complete architecture.

Recurrence family
Core recurrence
Depth control
Evaluation methodology
KV / state strategy
See paper

Reading note

The key control is only realizable in weight-shared architectures. Includes dense-transformer negative controls and a training intervention to check causality.

Sources checked 2026-10-28. This catalog does not imply independent reproduction.

Related works

Cite this work

@misc{depthcontrolprotocol2026,
  title = {Beyond Depth Truncation: Controlled Evaluation of Depth Utilization in Recursive Language Models},
  author = {Ha Van Dau and Thanh Tung Khuat and Nguyen Thanh Dung},
  year = {2026},
  eprint = {2609.19934},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.19934}
}

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