mlsanityData to 14 Oct 2026

Bridging the Gap Between Latent and Explicit Reasoning with Looped Transformers

arXiv 2606.31779 ↗First posted 30 Jun 2026cs.LG cs.CLcited by 13

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

Abstract (arXiv)

Language models typically reason via explicit chain-of-thought (CoT), generating intermediate steps token-by-token. Latent CoT offers an alternative: it performs multi-step reasoning in the model's hidden states, replacing decoded tokens with continuous representations for greater efficiency. However, existing latent CoT methods underperform explicit CoT beyond 1B parameters, and the gap widens with scale. Looped, or recurrent-depth, Transformers, which reuse their weights to increase computation depth without adding parameters, are a natural fit for latent reasoning. We therefore ask whether looped Transformers can bridge this gap. We answer affirmatively with a simple recipe: a looped padded Transformer that processes K latent blocks in parallel for R iterations, with a cross-entropy loss on each latent position's gold CoT-step token, similar to explicit CoT supervision. We instantiate it as LOTUS (Looped Transformers with parallel supervision on latents). LOTUS is, to our knowledge, the first latent-CoT method to bridge the gap to explicit CoT at the 3B scale, while cutting thought-phase latency by 2.5x-6.9x from compact math expressions to natural language. Projecting LOTUS's post-loop latents through the base LM head recovers the gold reasoning steps and even surfaces alternative valid intermediate steps, evidence that its latent space is interpretable and CoT-aligned. Ablations confirm that both the looped backbone and the parallel supervision on gold CoT tokens are essential. Code is available at https://github.com/yingfan-bot/lotus.

Key facts. Cited by 13 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 49 of its 93 references that are in the map. First posted on arXiv 30 Jun 2026.

Builds on

49 of 93 references.

Closest ancestors · 22

Same direction, newest first

  1. 2026SeLaR: Selective Latent Reasoning in Large Language Models9 Apr
  2. 2026Thinking Deeper, Not Longer: Memory-Efficient Test-Time Reasoning with Depth-Recurrent Transformers for Compositional Generalization23 Mar
  3. 2026LoopRPT: Reinforcement Pre-Training for Looped Language Models20 Mar
  4. 2026SPOT: Span-level Pause-of-Thought for Efficient and Interpretable Latent Reasoning in Large Language Models6 Mar
  5. 2026AdaPonderLM: Gated Pondering Language Models with Token-Wise Adaptive Depth2 Mar
  6. 2026Chain Of Thought Compression: A Theoretical Analysis29 Jan
  7. 2025Learning When to Stop: Adaptive Latent Reasoning via Reinforcement Learning26 Nov
  8. 2025ThreadWeaver: Adaptive Threading for Efficient Parallel Reasoning in Language Models24 Nov
  9. 2025Think-at-Hard: Dynamic Looped Transformers for Improved Reasoning11 Nov
  10. 2025Teaching Pretrained Language Models to Think Deeper with Retrofitted Recurrence10 Nov
  11. 2025Scaling Latent Reasoning via Looped Language Models29 Oct
  12. 2025LLM Latent Reasoning as Chain of Superposition17 Oct
10 more
  1. 2025Parallel Test-Time Scaling for Latent Reasoning Models9 Oct
  2. 2025Encode, Think, Decode: Scaling test-time reasoning with recursive latent thoughts8 Oct
  3. 2025Thoughtbubbles: an Unsupervised Method for Parallel Thinking in Latent Space30 Sep
  4. 2025PonderLM-2: Pretraining LLM with Latent Thoughts in Continuous Space27 Sep
  5. 2025A Survey on Latent Reasoning8 Jul
  6. 2025Seek in the Dark: Reasoning via Test-Time Instance-Level Policy Gradient in Latent Space19 May
  7. 2025SoftCoT++: Test-Time Scaling with Soft Chain-of-Thought Reasoning16 May
  8. 2025Efficient Reasoning Models: A Survey15 Apr
  9. 2025Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approach7 Feb
  10. 2024Compressed Chain of Thought: Efficient Reasoning Through Dense Representations17 Dec

Other references · 27

  1. 2024The Llama 3 Herd of Modelscited by 14,715
  2. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  3. 2024OpenAI o1 System Cardcited by 1,244
  4. 2023Accelerating Large Language Model Decoding with Speculative Samplingcited by 1,006
  5. 2018Universal Transformerscited by 647
  6. 2024Mixture-of-Depths: Dynamically allocating compute in transformer-based language modelscited by 258
  7. 2023Implicit Chain of Thought Reasoning via Knowledge Distillationcited by 176
  8. 2025Reasoning Beyond Language: A Comprehensive Survey on Latent Chain-of-Thought Reasoningcited by 78
  9. 2025SIM-CoT: Supervised Implicit Chain-of-Thoughtcited by 70
  10. 2025Implicit Reasoning in Large Language Models: A Comprehensive Surveycited by 43
  11. 2026The Latent Space: Foundation, Evolution, Mechanism, Ability, and Outlookcited by 43
  12. 2025TiDAR: Think in Diffusion, Talk in Autoregressioncited by 37
15 more
  1. 2026Loop, Think, & Generalize: Implicit Reasoning in Recurrent-Depth Transformerscited by 37
  2. 2025Do Latent Tokens Think? A Causal and Adversarial Analysis of Chain-of-Continuous-Thoughtcited by 23
  3. 2026Generative Recursive Reasoningcited by 20
  4. 2025A Formal Comparison Between Chain of Thought and Latent Thoughtcited by 15
  5. 2026Depth-Recurrent Attention Mixtures: Giving Latent Reasoning the Attention it Deservescited by 12
  6. 2024Loop Neural Networks for Parameter Sharingcited by 11
  7. 2025To CoT or To Loop? A Formal Comparison Between Chain-of-Thought and Looped Transformerscited by 11
  8. 2026How Do Latent Reasoning Methods Perform Under Weak and Strong Supervision?cited by 10
  9. 2026Latent Reasoning with Supervised Thinking Statescited by 9
  10. 2025Unlocking Out-of-Distribution Generalization in Transformers via Recursive Latent Space Reasoningcited by 6
  11. 2026Latent Chain-of-Thought as Planning: Decoupling Reasoning from Verbalizationcited by 6
  12. 2026Understanding Dynamic Compute Allocation in Recurrent Transformerscited by 6
  13. 2025Think Consistently, Reason Efficiently: Energy-Based Calibration for Implicit Chain-of-Thoughtcited by 4
  14. 2026Context-Free Recognition with Transformerscited by 4
  15. 2026Capabilities and Fundamental Limits of Latent Chain-of-Thoughtcited by 4

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Citing papers per year: 2026: 13.

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  1. 2025Reasoning with Latent Thoughts: On the Power of Looped Transformers
  2. 2026LoopFormer: Elastic-Depth Looped Transformers for Latent Reasoning via Shortcut Modulation
  3. 2026From Chain-of-Thought to Loops: Non-Autoregressive Latent Reasoning via Looped Transformers
  4. 2025Latent Chain-of-Thought? Decoding the Depth-Recurrent Transformer
  5. 2026LoopMTP: A looped transformer guided by latent multi-token prediction
  6. 2026Think Deep, Speak Once: Relit, A Recursive Latent Implicit Transformer Framework
  7. 2026LaTER: Efficient Test-Time Reasoning via Latent Exploration and Explicit Verification
  8. 2025Enhancing Auto-regressive Chain-of-Thought through Loop-Aligned Reasoning