mlsanityData to 7 Oct 2026

Thoughtbubbles: an Unsupervised Method for Parallel Thinking in Latent Space

arXiv 2510.00219 ↗First posted 30 Sep 2025cs.LG cs.AI cs.CLcited by 3

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

Abstract (arXiv)

Current approaches for scaling inference-time compute in transformers train them to emit explicit chain-of-thought tokens before producing an answer. While these methods are powerful, they are limited because they cannot be applied during pretraining and rely solely on serially-generated, natural-language verbalization. In this work, we propose Thoughtbubbles, a transformer variant that natively performs parallel adaptive computation in latent space by learning to fork or delete residual streams. Thus, tokens requiring more computation can form a "bubble" of cloned residuals in the middle of the network. Crucially, this behavior is learned during pretraining with only language modeling loss. Using half of the training budget, Thoughtbubbles outperforms the perplexity and zero-shot evals of both standard decoder LMs and those using non-adaptive parallel computation approaches. These results hold across model sizes from 150M to 1.9B. Thoughtbubbles achieves competitive GSM8K results using half of the baseline's token budget. The implicit nature of our method enables models to begin learning adaptive computation at pretraining time, paving the way to unified train-time and test-time scaling behaviors.

Key facts. Cited by 3 papers in the map (data through 7 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 23 of its 48 references that are in the map. First posted on arXiv 30 Sep 2025.

Builds on

23 of 48 references.

Closest ancestors · 2

Same direction, newest first

  1. 2025s1: Simple test-time scaling31 Jan
  2. 2024Rethinking Thinking Tokens: Understanding Why They Underperform in Practice18 Nov

Other references · 21

  1. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,302
  2. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  3. 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,710
  4. 2017Decoupled Weight Decay Regularizationcited by 1,722
  5. 2024Training Large Language Models to Reason in a Continuous Latent Spacecited by 763
  6. 2018Universal Transformerscited by 613
  7. 2025Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoningcited by 540
  8. 2016Adaptive Computation Time for Recurrent Neural Networkscited by 479
  9. 2025SmolLM2: When Smol Goes Big -- Data-Centric Training of a Small Language Modelcited by 307
  10. 2024Mixture-of-Depths: Dynamically allocating compute in transformer-based language modelscited by 242
  11. 2025CODI: Compressing Chain-of-Thought into Continuous Space via Self-Distillationcited by 216
  12. 2024Let's Think Dot by Dot: Hidden Computation in Transformer Language Modelscited by 186
9 more
  1. 2024A Mechanistic Analysis of a Transformer Trained on a Symbolic Multi-Step Reasoning Taskcited by 49
  2. 2024MrT5: Dynamic Token Merging for Efficient Byte-level Language Modelscited by 27
  3. 2024Thinking Tokens for Language Modelingcited by 23
  4. 2025Exact Expressive Power of Transformers with Paddingcited by 19
  5. 2024Prompt-SAW: Leveraging Relation-Aware Graphs for Textual Prompt Compressioncited by 18
  6. 2025Enhancing Latent Computation in Transformers with Latent Tokenscited by 13
  7. 2025Pause Tokens Strictly Increase the Expressivity of Constant-Depth Transformerscited by 8
  8. 2024Supervised Chain of Thoughtcited by 5
  9. 2024Skip-Layer Attention: Bridging Abstract and Detailed Dependencies in Transformerscited by 4

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 3.

3 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2025ParaThinker: Native Parallel Thinking as a New Paradigm to Scale LLM Test-time Compute
  2. 2025Change of Thought: Adaptive Test-Time Computation
  3. 2025Let Me Think! A Long Chain-of-Thought Can Be Worth Exponentially Many Short Ones
  4. 2025Think-at-Hard: Dynamic Looped Transformers for Improved Reasoning
  5. 2025Reasoning to Learn from Latent Thoughts
  6. 2025Inner Thinking Transformer: Leveraging Dynamic Depth Scaling to Foster Adaptive Internal Thinking
  7. 2025ThreadWeaver: Adaptive Threading for Efficient Parallel Reasoning in Language Models
  8. 2025Encode, Think, Decode: Scaling test-time reasoning with recursive latent thoughts