mlsanityData to 14 Oct 2026

LoopUS: Recasting Pretrained LLMs into Looped Latent Refinement Models

arXiv 2605.11011 ↗First posted 10 May 2026cs.LG cs.AIcited by 15

On the map: LLM reasoning → Test-time compute and efficient thinking

Abstract (arXiv)

Looped computation shows promise in improving the reasoning-oriented performance of LLMs by scaling test-time compute. However, existing approaches typically require either training recurrent models from scratch or applying disruptive retrofits, which involve substantial computational costs and may compromise pretrained capabilities. To address these limitations, we introduce Looped Depth Up-Scaling (LoopUS), a post-training framework that converts a standard pretrained LLM into a looped architecture. As a key technical contribution, LoopUS recasts the pretrained LLM into an encoder, a looped reasoning block, and a decoder. It operationalizes this latent-refinement architecture through four core components: (1) block decomposition, guided by staged representation dynamics; (2) an input-dependent selective gate to mitigate hidden-state drift; (3) random deep supervision for memory-efficient learning over long recursive horizons; and (4) a confidence head for adaptive early exiting. Collectively, these mechanisms transform a standard non-looped model into a looped form while stabilizing it against both computational bottlenecks and representation collapse. Through stable latent looping, LoopUS improves reasoning-oriented performance without extending the generated traces or requiring recurrent training from scratch. For more details, see https://thrillcrazyer.github.io/LoopUS

Key facts. Cited by 15 papers in the map (data through 14 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 39 of its 58 references that are in the map. First posted on arXiv 10 May 2026.

Builds on

39 of 58 references.

Closest ancestors · 8

Same direction, newest first

  1. 2026Mamba-3: Improved Sequence Modeling using State Space Principles16 Mar
  2. 2025Teaching Pretrained Language Models to Think Deeper with Retrofitted Recurrence10 Nov
  3. 2025Scaling Latent Reasoning via Looped Language Models29 Oct
  4. 2025Energy-Based Transformers are Scalable Learners and Thinkers2 Jul
  5. 2025Hierarchical Reasoning Model26 Jun
  6. 2025Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approach7 Feb
  7. 2024Titans: Learning to Memorize at Test Time31 Dec
  8. 2024Inference Scaling Laws: An Empirical Analysis of Compute-Optimal Inference for Problem-Solving with Language Models1 Aug

Other references · 31

  1. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
  2. 2020Denoising Diffusion Implicit Modelscited by 9,781
  3. 2020Measuring Massive Multitask Language Understandingcited by 7,963
  4. 2022Scalable Diffusion Models with Transformerscited by 6,054
  5. 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,886
  6. 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,718
  7. 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,100
  8. 2014Learning Phrase Representations using RNN Encoder-Decoder for Statistical Machine Translationcited by 4,057
  9. 2016Pointer Sentinel Mixture Modelscited by 3,096
  10. 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,883
  11. 2023FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioningcited by 2,598
  12. 2021Efficiently Modeling Long Sequences with Structured State Spacescited by 2,465
19 more
  1. 2018Can a Suit of Armor Conduct Electricity? A New Dataset for Open Book Question Answeringcited by 2,164
  2. 2024The FineWeb Datasets: Decanting the Web for the Finest Text Data at Scalecited by 1,160
  3. 2016The LAMBADA dataset: Word prediction requiring a broad discourse contextcited by 992
  4. 2017Sigmoid-Weighted Linear Units for Neural Network Function Approximation in Reinforcement Learningcited by 950
  5. 2025Large Language Diffusion Modelscited by 912
  6. 2017Self-Normalizing Neural Networkscited by 598
  7. 2024Gated Delta Networks: Improving Mamba2 with Delta Rulecited by 532
  8. 2024xLSTM: Extended Long Short-Term Memorycited by 327
  9. 2015Training Very Deep Networkscited by 173
  10. 2023SOLAR 10.7B: Scaling Large Language Models with Simple yet Effective Depth Up-Scalingcited by 172
  11. 2019The Bottom-up Evolution of Representations in the Transformer: A Study with Machine Translation and Language Modeling Objectivescited by 139
  12. 2025Mixture-of-Recursions: Learning Dynamic Recursive Depths for Adaptive Token-Level Computationcited by 133
  13. 2024Relaxed Recursive Transformers: Effective Parameter Sharing with Layer-wise LoRAcited by 78
  14. 2025PonderLM: Pretraining Language Models to Ponder in Continuous Spacecited by 44
  15. 2025Autoregressive Language Models are Secretly Energy-Based Models: Insights into the Lookahead Capabilities of Next-Token Predictioncited by 8
  16. 2026Loop as a Bridge: Can Looped Transformers Truly Link Representation Space and Natural Language Outputs?cited by 8
  17. 2026Mi:dm 2.0 Korea-centric Bilingual Language Modelscited by 5
  18. 2026Looping Back to Move Forward: Recursive Transformers for Efficient and Flexible Large Multimodal Modelscited by 5
  19. 2026Suppressing Final Layer Hidden State Jumps in Transformer Pretrainingcited by 3

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Citing papers per year: 2026: 15.

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  1. 2026Memory-Efficient Looped Transformer: Decoupling Compute from Memory in Looped Language Models
  2. 2026LoopMTP: A looped transformer guided by latent multi-token prediction
  3. 2026LoopFormer: Elastic-Depth Looped Transformers for Latent Reasoning via Shortcut Modulation
  4. 2025Think-at-Hard: Dynamic Looped Transformers for Improved Reasoning
  5. 2026Looping Beyond Twice: A Scalable Recipe for Looped Mixture-of-Experts
  6. 2025TL;DR: Too Long, Do Re-weighting for Efficient LLM Reasoning Compression
  7. 2026Closing the Loop: Practical Training Recipes for Looped Language Models
  8. 2026Refining Over Resampling: Test-Time Self-Correction for LLM Reasoning