LoopUS: Recasting Pretrained LLMs into Looped Latent Refinement Models
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
- 2026Mamba-3: Improved Sequence Modeling using State Space Principles16 Mar
- 2025Teaching Pretrained Language Models to Think Deeper with Retrofitted Recurrence10 Nov
- 2025Scaling Latent Reasoning via Looped Language Models29 Oct
- 2025Energy-Based Transformers are Scalable Learners and Thinkers2 Jul
- 2025Hierarchical Reasoning Model26 Jun
- 2025Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approach7 Feb
- 2024Titans: Learning to Memorize at Test Time31 Dec
- 2024Inference Scaling Laws: An Empirical Analysis of Compute-Optimal Inference for Problem-Solving with Language Models1 Aug
Other references · 31
- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
- 2020Denoising Diffusion Implicit Modelscited by 9,781
- 2020Measuring Massive Multitask Language Understandingcited by 7,963
- 2022Scalable Diffusion Models with Transformerscited by 6,054
- 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,886
- 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,718
- 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,100
- 2014Learning Phrase Representations using RNN Encoder-Decoder for Statistical Machine Translationcited by 4,057
- 2016Pointer Sentinel Mixture Modelscited by 3,096
- 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,883
- 2023FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioningcited by 2,598
- 2021Efficiently Modeling Long Sequences with Structured State Spacescited by 2,465
19 more
- 2018Can a Suit of Armor Conduct Electricity? A New Dataset for Open Book Question Answeringcited by 2,164
- 2024The FineWeb Datasets: Decanting the Web for the Finest Text Data at Scalecited by 1,160
- 2016The LAMBADA dataset: Word prediction requiring a broad discourse contextcited by 992
- 2017Sigmoid-Weighted Linear Units for Neural Network Function Approximation in Reinforcement Learningcited by 950
- 2025Large Language Diffusion Modelscited by 912
- 2017Self-Normalizing Neural Networkscited by 598
- 2024Gated Delta Networks: Improving Mamba2 with Delta Rulecited by 532
- 2024xLSTM: Extended Long Short-Term Memorycited by 327
- 2015Training Very Deep Networkscited by 173
- 2023SOLAR 10.7B: Scaling Large Language Models with Simple yet Effective Depth Up-Scalingcited by 172
- 2019The Bottom-up Evolution of Representations in the Transformer: A Study with Machine Translation and Language Modeling Objectivescited by 139
- 2025Mixture-of-Recursions: Learning Dynamic Recursive Depths for Adaptive Token-Level Computationcited by 133
- 2024Relaxed Recursive Transformers: Effective Parameter Sharing with Layer-wise LoRAcited by 78
- 2025PonderLM: Pretraining Language Models to Ponder in Continuous Spacecited by 44
- 2025Autoregressive Language Models are Secretly Energy-Based Models: Insights into the Lookahead Capabilities of Next-Token Predictioncited by 8
- 2026Loop as a Bridge: Can Looped Transformers Truly Link Representation Space and Natural Language Outputs?cited by 8
- 2026Mi:dm 2.0 Korea-centric Bilingual Language Modelscited by 5
- 2026Looping Back to Move Forward: Recursive Transformers for Efficient and Flexible Large Multimodal Modelscited by 5
- 2026Suppressing Final Layer Hidden State Jumps in Transformer Pretrainingcited by 3
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Citing papers per year: 2026: 15.
15 papers.
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- 2026Loop the Loopies!cited by 8
- 2026RecurTrace: Adaptive Latent Reasoning with Loop-Time Memorycited by 7
- 2026LoopCoder-v2: Only Loop Once for Efficient Test-Time Computation Scalingcited by 4
- 2026Hidden Decoding at Scale: Latent Computation Scaling for Large Language Modelscited by 4
- 2026Forward-Free Diffusion Language Models with BPTT-Free Looped Refinementcited by 2
- 2026LoopSpec: Pipelined Self-Speculative Decoding for Looped Transformerscited by 2
- 2026Looped Transformers with Source-Centered State Evolutioncited by 1
- 2026Right Direction, Wrong Step: Geometric Analysis of Finite-Step Failure in Looped Transformerscited by 1
- 2026Improving Test-Time Scaling with Adaptive Looped Transformerscited by 1
- 2026ReLoop-UME: Recurrent Depth with Learnable Retrieval Registers for Universal Multimodal Embeddingcited by 0
- 2026WaveFront Decoding: Parallelized Self-Speculative Decoding for Looped Language Modelscited by 0
- 2026Loop Dropout: Regularizing Shared Updates in Looped Language Modelscited by 0
3 more
- 2026SanSi: A Looped Typed Decision Model for System 1.5 Thinkingcited by 0
- 2026Enabling Dynamic Computation in Looped LMscited by 0
- 2026Monitoring latent reasoning in looped language modelscited by 0
- 2026Monitoring latent reasoning in looped language models13 Oct 2026
- 2026Enabling Dynamic Computation in Looped LMs6 Oct 2026
- 2026SanSi: A Looped Typed Decision Model for System 1.5 Thinking6 Oct 2026
- 2026Improving Test-Time Scaling with Adaptive Looped Transformers28 Sep 2026
- 2026Loop Dropout: Regularizing Shared Updates in Looped Language Models28 Sep 2026
- 2026WaveFront Decoding: Parallelized Self-Speculative Decoding for Looped Language Models19 Sep 2026
- 2026LoopSpec: Pipelined Self-Speculative Decoding for Looped Transformers15 Sep 2026
- 2026Right Direction, Wrong Step: Geometric Analysis of Finite-Step Failure in Looped Transformers15 Sep 2026
- 2026RecurTrace: Adaptive Latent Reasoning with Loop-Time Memory3 Sep 2026
- 2026ReLoop-UME: Recurrent Depth with Learnable Retrieval Registers for Universal Multimodal Embedding30 Jul 2026
- 2026Looped Transformers with Source-Centered State Evolution30 Jul 2026
- 2026Loop the Loopies!17 Jul 2026
- 2026RecurTrace: Adaptive Latent Reasoning with Loop-Time Memorycited by 7
- 2026Right Direction, Wrong Step: Geometric Analysis of Finite-Step Failure in Looped Transformerscited by 1
- 2026Improving Test-Time Scaling with Adaptive Looped Transformerscited by 1
- 2026SanSi: A Looped Typed Decision Model for System 1.5 Thinkingcited by 0
- 2026Monitoring latent reasoning in looped language modelscited by 0
- 2026Monitoring latent reasoning in looped language models13 Oct 2026
- 2026SanSi: A Looped Typed Decision Model for System 1.5 Thinking6 Oct 2026
- 2026Improving Test-Time Scaling with Adaptive Looped Transformers28 Sep 2026
- 2026Right Direction, Wrong Step: Geometric Analysis of Finite-Step Failure in Looped Transformers15 Sep 2026
- 2026RecurTrace: Adaptive Latent Reasoning with Loop-Time Memory3 Sep 2026
- 2026LoopCoder-v2: Only Loop Once for Efficient Test-Time Computation Scalingcited by 4
- 2026LoopSpec: Pipelined Self-Speculative Decoding for Looped Transformerscited by 2
- 2026WaveFront Decoding: Parallelized Self-Speculative Decoding for Looped Language Modelscited by 0
- 2026Enabling Dynamic Computation in Looped LMscited by 0
- 2026Enabling Dynamic Computation in Looped LMs6 Oct 2026
- 2026WaveFront Decoding: Parallelized Self-Speculative Decoding for Looped Language Models19 Sep 2026
- 2026LoopSpec: Pipelined Self-Speculative Decoding for Looped Transformers15 Sep 2026
- 2026LoopCoder-v2: Only Loop Once for Efficient Test-Time Computation Scaling16 Jun 2026
- 2026Loop the Loopies!cited by 8
- 2026Loop the Loopies!17 Jul 2026
- 2026Hidden Decoding at Scale: Latent Computation Scaling for Large Language Modelscited by 4
- 2026Looped Transformers with Source-Centered State Evolutioncited by 1
- 2026ReLoop-UME: Recurrent Depth with Learnable Retrieval Registers for Universal Multimodal Embeddingcited by 0
- 2026Loop Dropout: Regularizing Shared Updates in Looped Language Modelscited by 0
- 2026Loop Dropout: Regularizing Shared Updates in Looped Language Models28 Sep 2026
- 2026ReLoop-UME: Recurrent Depth with Learnable Retrieval Registers for Universal Multimodal Embedding30 Jul 2026
- 2026Looped Transformers with Source-Centered State Evolution30 Jul 2026
- 2026Hidden Decoding at Scale: Latent Computation Scaling for Large Language Models9 Jul 2026
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- 2026LoopFormer: Elastic-Depth Looped Transformers for Latent Reasoning via Shortcut Modulation
- 2025Think-at-Hard: Dynamic Looped Transformers for Improved Reasoning
- 2026Looping Beyond Twice: A Scalable Recipe for Looped Mixture-of-Experts
- 2025TL;DR: Too Long, Do Re-weighting for Efficient LLM Reasoning Compression
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