mlsanityData to 7 Oct 2026

Think Wider: Mitigating Latent Rank Collapse in Implicit Chain-of-Thought Reasoning

arXiv 2609.07406 ↗First posted 7 Sep 2026cs.LGcited by 0

On the map: LLM reasoning → Prompting and chain-of-thought reasoning

Abstract (arXiv)

Chain-of-thought (CoT) reasoning improves the reasoning ability of large language models by introducing intermediate computation, but explicit rationales increase decoding length, latency, and context cost. Implicit CoT offers a more efficient alternative by moving intermediate reasoning into continuous latent states. However, latent reasoning can be unstable: successive latent states may become overly similar and collapse toward a shared dominant direction, reducing the diversity of the reasoning trajectory. In this work, we identify textitlatent rank collapse and propose WIDER, a lightweight spectral regularizer for implicit CoT. During training, WIDER estimates the shared direction of each latent trajectory and penalizes projections onto this direction, encouraging latent states to span a broader representational subspace. The method is plug-and-play and leaves the backbone model, latent schedule, and inference-time decoding procedure unchanged. We further formulate this collapse as a geometric bottleneck in implicit reasoning, casting its mitigation as a training-time regularization problem rather than an inference-time decoding change. Extensive experiments show that WIDER improves matched implicit CoT baselines, while mechanistic analyses reveal higher effective rank, lower dominant-direction energy, and reduced redundancy among latent steps. These results highlight latent subspace utilization as an important factor for efficient continuous reasoning, providing a geometric perspective for analyzing and improving implicit CoT. Code is available at https://github.com/whitesweater/WIDER.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in Prompting and chain-of-thought reasoning, one of 17 directions in LLM reasoning. Builds on 17 of its 38 references that are in the map. First posted on arXiv 7 Sep 2026.

Builds on

17 of 38 references.

Closest ancestors · 6

Same direction, newest first

  1. 2025SIM-CoT: Supervised Implicit Chain-of-Thought24 Sep
  2. 2025SynAdapt: Learning Adaptive Reasoning in Large Language Models via Synthetic Continuous Chain-of-Thought1 Aug
  3. 2024Training Large Language Models to Reason in a Continuous Latent Space9 Dec
  4. 2022Program of Thoughts Prompting: Disentangling Computation from Reasoning for Numerical Reasoning Tasks22 Nov
  5. 2022Least-to-Most Prompting Enables Complex Reasoning in Large Language Models21 May
  6. 2022Self-Consistency Improves Chain of Thought Reasoning in Language Models21 Mar

Other references · 11

  1. 2024The Llama 3 Herd of Modelscited by 14,192
  2. 2022ReAct: Synergizing Reasoning and Acting in Language Modelscited by 8,355
  3. 2025Qwen3 Technical Reportcited by 8,195
  4. 2021VICReg: Variance-Invariance-Covariance Regularization for Self-Supervised Learningcited by 1,013
  5. 2021Understanding Dimensional Collapse in Contrastive Self-supervised Learningcited by 374
  6. 2024Quiet-STaR: Language Models Can Teach Themselves to Think Before Speakingcited by 292
  7. 2024Compressed Chain of Thought: Efficient Reasoning Through Dense Representationscited by 192
  8. 2025Implicit Reasoning in Large Language Models: A Comprehensive Surveycited by 42
  9. 2025SoftCoT++: Test-Time Scaling with Soft Chain-of-Thought Reasoningcited by 38
  10. 2026RankUp: Towards High-rank Representations for Large Scale Advertising Recommender Systemscited by 3
  11. 2024Mind the Gap: a Spectral Analysis of Rank Collapse and Signal Propagation in Attention Layerscited by 1

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  3. 2026Chain Of Thought Compression: A Theoretical Analysis
  4. 2025Reasoning Beyond Language: A Comprehensive Survey on Latent Chain-of-Thought Reasoning
  5. 2025CODI: Compressing Chain-of-Thought into Continuous Space via Self-Distillation
  6. 2026CIRF: Tokenizing Chain-of-Thoughts into Reusable Functional Units for Efficient Latent Reasoning in Large Language Models
  7. 2026CoLT: Teaching Multi-Modal Models to Think with Chain of Latent Thoughts
  8. 2026Latent Reasoning with Normalizing Flows