PonderLM-2: Pretraining LLM with Latent Thoughts in Continuous Space
On the map: LLM reasoning → Test-time compute and efficient thinking
Abstract (arXiv)
The remarkable success of Chain-of-Thought (CoT), which enhances performance by scaling generation steps at test-time, inspires us to ask: can we leverage a similar scaling of computational steps during pretraining to improve the generation of each individual token? To address this, we propose a novel pre-training methodology: Pretraining Language Models with Latent Thoughts (PonderLM-2). Our approach pretrains a language model (LM) to first generate an intermediate latent thought-the last hidden state of the current position-which is then used as input to predict the actual subsequent token. This additional computational step enables the LM to refine its prediction within unconstrained continuous space. Our experiments demonstrate that, at an identical inference cost, a LM that generates one additional latent thought per token outperforms a standard model with double the parameters. For instance, our PonderLM-2-Pythia-1.4B, pretrained on 300B tokens from the Pile, significantly surpasses the vanilla Pythia-2.8B trained on the same data on both language modeling and a range of general downstream tasks. Furthermore, increasing the number of latent thoughts generated before each actual token-forming a chain analogous to CoT-consistently improves the model's performance. The code is available at https://github.com/LUMIA-Group/PonderLM-2.
Key facts. Cited by 16 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 38 of its 56 references that are in the map. First posted on arXiv 27 Sep 2025.
Builds on
38 of 56 references.
Closest ancestors · 4
Same direction, newest first
- 2025Inner Thinking Transformer: Leveraging Dynamic Depth Scaling to Foster Adaptive Internal Thinking19 Feb
- 2025Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approach7 Feb
- 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters6 Aug
- 2023Think before you speak: Training Language Models With Pause Tokens3 Oct
Other references · 34
- 2024The Llama 3 Herd of Modelscited by 14,715
- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,330
- 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,708
- 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
- 2022OPT: Open Pre-trained Transformer Language Modelscited by 3,512
- 2016Pointer Sentinel Mixture Modelscited by 3,096
- 2022Training Compute-Optimal Large Language Modelscited by 3,019
- 2020The Pile: An 800GB Dataset of Diverse Text for Language Modelingcited by 2,411
- 2024OpenAI o1 System Cardcited by 1,244
- 2016The LAMBADA dataset: Word prediction requiring a broad discourse contextcited by 992
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- 2025Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?cited by 982
- 2017RACE: Large-scale ReAding Comprehension Dataset From Examinationscited by 861
- 2024Training Large Language Models to Reason in a Continuous Latent Spacecited by 797
- 2017Crowdsourcing Multiple Choice Science Questionscited by 765
- 2024TinyLlama: An Open-Source Small Language Modelcited by 618
- 2024Quiet-STaR: Language Models Can Teach Themselves to Think Before Speakingcited by 301
- 2022Will we run out of data? Limits of LLM scaling based on human-generated datacited by 195
- 2024Let's Think Dot by Dot: Hidden Computation in Transformer Language Modelscited by 191
- 2023Physics of Language Models: Part 3.2, Knowledge Manipulationcited by 143
- 2025LLMs Can Easily Learn to Reason from Demonstrations Structure, not content, is what matters!cited by 132
- 2024BoNBoN Alignment for Large Language Models and the Sweetness of Best-of-n Samplingcited by 121
- 2024Fast Best-of-N Decoding via Speculative Rejectioncited by 112
- 2024BOND: Aligning LLMs with Best-of-N Distillationcited by 76
- 2023SlimPajama-DC: Understanding Data Combinations for LLM Trainingcited by 72
- 2024Layer-Condensed KV Cache for Efficient Inference of Large Language Modelscited by 59
- 2023Guiding Language Model Reasoning with Planning Tokenscited by 58
- 2024The Limits of Inference Scaling Through Resamplingcited by 53
- 2024Variational Best-of-N Alignmentcited by 51
- 2025PonderLM: Pretraining Language Models to Ponder in Continuous Spacecited by 44
- 2024The Larger the Better? Improved LLM Code-Generation via Budget Reallocationcited by 43
- 2025BOLT: Bootstrap Long Chain-of-Thought in Language Models without Distillationcited by 23
- 2023Computation vs. Communication Scaling for Future Transformers on Future Hardwarecited by 7
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Citing papers per year: 2026: 16.
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- 2026The Latent Space: Foundation, Evolution, Mechanism, Ability, and Outlookcited by 43
- 2026Bridging the Gap Between Latent and Explicit Reasoning with Looped Transformerscited by 13
- 2026SpiralFormer: Looped Transformers Can Learn Hierarchical Dependencies via Multi-Resolution Recursioncited by 12
- 2026Imagination Helps Visual Reasoning, But Not Yet in Latent Spacecited by 12
- 2026AdaPonderLM: Gated Pondering Language Models with Token-Wise Adaptive Depthcited by 10
- 2026Loop as a Bridge: Can Looped Transformers Truly Link Representation Space and Natural Language Outputs?cited by 8
- 2026Latent Recurrent Transformer: Architecture Exploration, Training Strategies, and Scaling Behaviorcited by 6
- 2026Full-bandwidth transformercited by 5
- 2026Pretraining with Token-Level Adaptive Latent Chain-of-Thoughtcited by 4
- 2026PonderLM-3: Adaptive Token-Wise Pondering with Differentiable Maskingcited by 4
- 2026Unlocking the Black Box of Latent Reasoning: An Interpretability-Guided Approach to Interventioncited by 3
- 2026Formalizing Latent Thoughts: Four Axioms of Thought Representation in LLMscited by 1
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- 2026Pretraining Latent Information Feedback Transformers with Teacher Supervision29 Sep 2026
- 2026Trading Depth for Time in Recurrent Transformers18 Sep 2026
- 2026WhiteMatter: All-to-All Cross-Layer Connections via KV Source Mixing19 Aug 2026
- 2026Full-bandwidth transformer9 Aug 2026
- 2026Bridging the Gap Between Latent and Explicit Reasoning with Looped Transformers30 Jun 2026
- 2026Unlocking the Black Box of Latent Reasoning: An Interpretability-Guided Approach to Intervention31 May 2026
- 2026Latent Recurrent Transformer: Architecture Exploration, Training Strategies, and Scaling Behavior26 May 2026
- 2026Formalizing Latent Thoughts: Four Axioms of Thought Representation in LLMs7 May 2026
- 2026The Latent Space: Foundation, Evolution, Mechanism, Ability, and Outlook2 Apr 2026
- 2026PonderLM-3: Adaptive Token-Wise Pondering with Differentiable Masking2 Mar 2026
- 2026AdaPonderLM: Gated Pondering Language Models with Token-Wise Adaptive Depth2 Mar 2026
4 more
- 2026Imagination Helps Visual Reasoning, But Not Yet in Latent Space26 Feb 2026
- 2026SpiralFormer: Looped Transformers Can Learn Hierarchical Dependencies via Multi-Resolution Recursion12 Feb 2026
- 2026Pretraining with Token-Level Adaptive Latent Chain-of-Thought9 Feb 2026
- 2026Loop as a Bridge: Can Looped Transformers Truly Link Representation Space and Natural Language Outputs?15 Jan 2026
- 2026Bridging the Gap Between Latent and Explicit Reasoning with Looped Transformerscited by 13
- 2026Imagination Helps Visual Reasoning, But Not Yet in Latent Spacecited by 12
- 2026AdaPonderLM: Gated Pondering Language Models with Token-Wise Adaptive Depthcited by 10
- 2026Pretraining with Token-Level Adaptive Latent Chain-of-Thoughtcited by 4
- 2026PonderLM-3: Adaptive Token-Wise Pondering with Differentiable Maskingcited by 4
- 2026Unlocking the Black Box of Latent Reasoning: An Interpretability-Guided Approach to Interventioncited by 3
- 2026Formalizing Latent Thoughts: Four Axioms of Thought Representation in LLMscited by 1
- 2026Bridging the Gap Between Latent and Explicit Reasoning with Looped Transformers30 Jun 2026
- 2026Unlocking the Black Box of Latent Reasoning: An Interpretability-Guided Approach to Intervention31 May 2026
- 2026Formalizing Latent Thoughts: Four Axioms of Thought Representation in LLMs7 May 2026
- 2026PonderLM-3: Adaptive Token-Wise Pondering with Differentiable Masking2 Mar 2026
- 2026AdaPonderLM: Gated Pondering Language Models with Token-Wise Adaptive Depth2 Mar 2026
- 2026Imagination Helps Visual Reasoning, But Not Yet in Latent Space26 Feb 2026
- 2026Pretraining with Token-Level Adaptive Latent Chain-of-Thought9 Feb 2026
- 2026The Latent Space: Foundation, Evolution, Mechanism, Ability, and Outlookcited by 43
- 2026SpiralFormer: Looped Transformers Can Learn Hierarchical Dependencies via Multi-Resolution Recursioncited by 12
- 2026Loop as a Bridge: Can Looped Transformers Truly Link Representation Space and Natural Language Outputs?cited by 8
- 2026Latent Recurrent Transformer: Architecture Exploration, Training Strategies, and Scaling Behaviorcited by 6
- 2026Full-bandwidth transformercited by 5
- 2026WhiteMatter: All-to-All Cross-Layer Connections via KV Source Mixingcited by 0
- 2026Trading Depth for Time in Recurrent Transformerscited by 0
- 2026Pretraining Latent Information Feedback Transformers with Teacher Supervisioncited by 0
- 2026Recurrent Looped Transformercited by 0
- 2026Recurrent Looped Transformer6 Oct 2026
- 2026Pretraining Latent Information Feedback Transformers with Teacher Supervision29 Sep 2026
- 2026Trading Depth for Time in Recurrent Transformers18 Sep 2026
- 2026WhiteMatter: All-to-All Cross-Layer Connections via KV Source Mixing19 Aug 2026
- 2026Full-bandwidth transformer9 Aug 2026
- 2026Latent Recurrent Transformer: Architecture Exploration, Training Strategies, and Scaling Behavior26 May 2026
- 2026The Latent Space: Foundation, Evolution, Mechanism, Ability, and Outlook2 Apr 2026
- 2026SpiralFormer: Looped Transformers Can Learn Hierarchical Dependencies via Multi-Resolution Recursion12 Feb 2026
- 2026Loop as a Bridge: Can Looped Transformers Truly Link Representation Space and Natural Language Outputs?15 Jan 2026
Similar, not cited
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- 2025Beyond Chains of Thought: Benchmarking Latent-Space Reasoning Abilities in Large Language Models
- 2026Latent Thoughts Tuning: Bridging Context and Reasoning with Fused Information in Latent Tokens
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