Diffusion of Thoughts: Chain-of-Thought Reasoning in Diffusion Language Models
On the map: LLM reasoning → Diffusion reasoning and test-time scaling
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Abstract (arXiv)
Recently, diffusion models have garnered significant interest in the field of text processing due to their many potential advantages compared to conventional autoregressive models. In this work, we propose Diffusion-of-Thought (DoT), a novel approach that integrates diffusion models with Chain-of-Thought, a well-established technique for improving the reasoning ability of autoregressive language models. In contrast to autoregressive language models that make decisions in a left-to-right, token-by-token manner, DoT allows reasoning steps to diffuse over time through a diffusion language model and offers greater flexibility in trading-off computation for reasoning performance. Our experimental results demonstrate the effectiveness of DoT in multi-digit multiplication, boolean logic, and grade school math problems, with a small diffusion model outperforming a much larger autoregressive model in both efficiency and accuracy. In addition to that, DoT showcases promising self-correction abilities and benefits from existing reasoning-enhancing techniques like self-consistency decoding. Our findings contribute to the understanding and development of reasoning with diffusion language models.
Key facts. Cited by 26 papers in the map (data through 7 Oct 2026). Placed in Diffusion reasoning and test-time scaling, one of 17 directions in LLM reasoning. Builds on 3 of its 69 references that are in the map. First posted on arXiv 12 Feb 2024.
Builds on
3 of 69 references.
References · 3
- 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,616
- 2020The Pile: An 800GB Dataset of Diverse Text for Language Modelingcited by 2,346
- 2023Visual Chain-of-Thought Diffusion Modelscited by 12
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Citing papers per year: 2024: 5; 2025: 16; 2026: 5.
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- 2025Block Diffusion: Interpolating Between Autoregressive and Diffusion Language Modelscited by 385
- 2025From System 1 to System 2: A Survey of Reasoning Large Language Modelscited by 319
- 2024Scaling Diffusion Language Models via Adaptation from Autoregressive Modelscited by 268
- 2024Scaling up Masked Diffusion Models on Textcited by 195
- 2025DiffuCoder: Understanding and Improving Masked Diffusion Models for Code Generationcited by 184
- 2025d1: Scaling Reasoning in Diffusion Large Language Models via Reinforcement Learningcited by 178
- 2024Beyond Autoregression: Discrete Diffusion for Complex Reasoning and Planningcited by 135
- 2024Formal Mathematical Reasoning: A New Frontier in AIcited by 80
- 2025A Survey on Latent Reasoningcited by 71
- 2025Discrete Diffusion in Large Language and Multimodal Models: A Surveycited by 61
- 2025Can Large Vision Language Models Read Maps Like a Human?cited by 30
- 2025LaDiR: Latent Diffusion Enhances LLMs for Text Reasoningcited by 25
14 more
- 2025From Next-Token to Next-Block: A Principled Adaptation Path for Diffusion LLMscited by 22
- 2025Implicit Search via Discrete Diffusion: A Study on Chesscited by 11
- 2025Test-Time Scaling in Diffusion LLMs via Hidden Semi-Autoregressive Expertscited by 8
- 2025DiffPO: Diffusion-styled Preference Optimization for Efficient Inference-Time Alignment of Large Language Modelscited by 5
- 2025Planner and Executor: Collaboration between Discrete Diffusion And Autoregressive Models in Reasoningcited by 3
- 2025Diffuse Thinking: Exploring Diffusion Language Models as Efficient Thought Proposers for Reasoningcited by 3
- 2024A Survey on the Integration of Generative AI for Critical Thinking in Mobile Networkscited by 1
- 2025Autoregressive Image Generation with Vision Full-view Promptcited by 1
- 2026Is my model "mind blurting"? Interpreting the dynamics of reasoning tokens with Recurrence Quantification Analysis (RQA)cited by 1
- 2026Self-Aware Markov Models for Discrete Reasoningcited by 1
- 2025Constraints-Guided Diffusion Reasoner for Neuro-Symbolic Learningcited by 0
- 2026Back on Track: Aligning Rewards and States for Reasoning in Diffusion Large Language Modelscited by 0
- 2026Continuous Interaction Diffusion: A Diffusion-Native Runtime for Asynchronous Tool-Augmented Reasoningcited by 0
- 2026A Model with No Head and Many Thoughtscited by 0
- 2026A Model with No Head and Many Thoughts31 Aug 2026
- 2026Continuous Interaction Diffusion: A Diffusion-Native Runtime for Asynchronous Tool-Augmented Reasoning11 Aug 2026
- 2026Back on Track: Aligning Rewards and States for Reasoning in Diffusion Large Language Models7 Jun 2026
- 2026Self-Aware Markov Models for Discrete Reasoning17 Mar 2026
- 2026Is my model "mind blurting"? Interpreting the dynamics of reasoning tokens with Recurrence Quantification Analysis (RQA)5 Feb 2026
- 2025From Next-Token to Next-Block: A Principled Adaptation Path for Diffusion LLMs7 Dec 2025
- 2025Diffuse Thinking: Exploring Diffusion Language Models as Efficient Thought Proposers for Reasoning31 Oct 2025
- 2025Planner and Executor: Collaboration between Discrete Diffusion And Autoregressive Models in Reasoning17 Oct 2025
- 2025Test-Time Scaling in Diffusion LLMs via Hidden Semi-Autoregressive Experts6 Oct 2025
- 2025LaDiR: Latent Diffusion Enhances LLMs for Text Reasoning6 Oct 2025
- 2025Constraints-Guided Diffusion Reasoner for Neuro-Symbolic Learning22 Aug 2025
- 2025A Survey on Latent Reasoning8 Jul 2025
14 more
- 2025DiffuCoder: Understanding and Improving Masked Diffusion Models for Code Generation25 Jun 2025
- 2025Discrete Diffusion in Large Language and Multimodal Models: A Survey16 Jun 2025
- 2025d1: Scaling Reasoning in Diffusion Large Language Models via Reinforcement Learning16 Apr 2025
- 2025Can Large Vision Language Models Read Maps Like a Human?18 Mar 2025
- 2025Block Diffusion: Interpolating Between Autoregressive and Diffusion Language Models12 Mar 2025
- 2025DiffPO: Diffusion-styled Preference Optimization for Efficient Inference-Time Alignment of Large Language Models6 Mar 2025
- 2025Implicit Search via Discrete Diffusion: A Study on Chess27 Feb 2025
- 2025From System 1 to System 2: A Survey of Reasoning Large Language Models24 Feb 2025
- 2025Autoregressive Image Generation with Vision Full-view Prompt24 Feb 2025
- 2024Formal Mathematical Reasoning: A New Frontier in AI20 Dec 2024
- 2024Scaling up Masked Diffusion Models on Text24 Oct 2024
- 2024Scaling Diffusion Language Models via Adaptation from Autoregressive Models23 Oct 2024
- 2024Beyond Autoregression: Discrete Diffusion for Complex Reasoning and Planning18 Oct 2024
- 2024A Survey on the Integration of Generative AI for Critical Thinking in Mobile Networks10 Apr 2024
- 2025From System 1 to System 2: A Survey of Reasoning Large Language Modelscited by 319
- 2025d1: Scaling Reasoning in Diffusion Large Language Models via Reinforcement Learningcited by 178
- 2024Beyond Autoregression: Discrete Diffusion for Complex Reasoning and Planningcited by 135
- 2024Formal Mathematical Reasoning: A New Frontier in AIcited by 80
- 2025A Survey on Latent Reasoningcited by 71
- 2025LaDiR: Latent Diffusion Enhances LLMs for Text Reasoningcited by 25
- 2025Test-Time Scaling in Diffusion LLMs via Hidden Semi-Autoregressive Expertscited by 8
- 2025Planner and Executor: Collaboration between Discrete Diffusion And Autoregressive Models in Reasoningcited by 3
- 2025Diffuse Thinking: Exploring Diffusion Language Models as Efficient Thought Proposers for Reasoningcited by 3
- 2026Is my model "mind blurting"? Interpreting the dynamics of reasoning tokens with Recurrence Quantification Analysis (RQA)cited by 1
- 2025Constraints-Guided Diffusion Reasoner for Neuro-Symbolic Learningcited by 0
- 2026Back on Track: Aligning Rewards and States for Reasoning in Diffusion Large Language Modelscited by 0
12 most cited of 14 All 14 (JSON)
- 2026A Model with No Head and Many Thoughts31 Aug 2026
- 2026Continuous Interaction Diffusion: A Diffusion-Native Runtime for Asynchronous Tool-Augmented Reasoning11 Aug 2026
- 2026Back on Track: Aligning Rewards and States for Reasoning in Diffusion Large Language Models7 Jun 2026
- 2026Is my model "mind blurting"? Interpreting the dynamics of reasoning tokens with Recurrence Quantification Analysis (RQA)5 Feb 2026
- 2025Diffuse Thinking: Exploring Diffusion Language Models as Efficient Thought Proposers for Reasoning31 Oct 2025
- 2025Planner and Executor: Collaboration between Discrete Diffusion And Autoregressive Models in Reasoning17 Oct 2025
- 2025Test-Time Scaling in Diffusion LLMs via Hidden Semi-Autoregressive Experts6 Oct 2025
- 2025LaDiR: Latent Diffusion Enhances LLMs for Text Reasoning6 Oct 2025
- 2025Constraints-Guided Diffusion Reasoner for Neuro-Symbolic Learning22 Aug 2025
- 2025A Survey on Latent Reasoning8 Jul 2025
- 2025d1: Scaling Reasoning in Diffusion Large Language Models via Reinforcement Learning16 Apr 2025
- 2025From System 1 to System 2: A Survey of Reasoning Large Language Models24 Feb 2025
12 newest of 14 All 14 (JSON)
- 2025Block Diffusion: Interpolating Between Autoregressive and Diffusion Language Modelscited by 385
- 2024Scaling Diffusion Language Models via Adaptation from Autoregressive Modelscited by 268
- 2024Scaling up Masked Diffusion Models on Textcited by 195
- 2025DiffuCoder: Understanding and Improving Masked Diffusion Models for Code Generationcited by 184
- 2025From Next-Token to Next-Block: A Principled Adaptation Path for Diffusion LLMscited by 22
- 2025Implicit Search via Discrete Diffusion: A Study on Chesscited by 11
- 2025Autoregressive Image Generation with Vision Full-view Promptcited by 1
- 2026Self-Aware Markov Models for Discrete Reasoningcited by 1
- 2026Self-Aware Markov Models for Discrete Reasoning17 Mar 2026
- 2025From Next-Token to Next-Block: A Principled Adaptation Path for Diffusion LLMs7 Dec 2025
- 2025DiffuCoder: Understanding and Improving Masked Diffusion Models for Code Generation25 Jun 2025
- 2025Block Diffusion: Interpolating Between Autoregressive and Diffusion Language Models12 Mar 2025
- 2025Implicit Search via Discrete Diffusion: A Study on Chess27 Feb 2025
- 2025Autoregressive Image Generation with Vision Full-view Prompt24 Feb 2025
- 2024Scaling up Masked Diffusion Models on Text24 Oct 2024
- 2024Scaling Diffusion Language Models via Adaptation from Autoregressive Models23 Oct 2024
Similar, not cited
Close in wording, no citation either way
- 2026DiffCoT: Diffusion-styled Chain-of-Thought Reasoning in LLMs
- 2025Beyond Surface Reasoning: Unveiling the True Long Chain-of-Thought Capacity of Diffusion Large Language Models
- 2026Reasoning with Latent Tokens in Diffusion Language Models
- 2026Test-Time Scaling with Diffusion Language Models via Reward-Guided Stitching
- 2025On the Reasoning Abilities of Masked Diffusion Language Models
- 2025Reinforcing the Diffusion Chain of Lateral Thought with Diffusion Language Models
- 2026Escaping Confidence Trap: Evolutionary Decoding for Mathematical Reasoning in Diffusion LLMs
- 2026Next Thoughts Are Distributions: Generative Autoregressive Reasoning in the Latent Space