mlsanityData to 14 Oct 2026

Energy-Based Diffusion Language Models for Text Generation

arXiv 2410.21357 ↗First posted 28 Oct 2024cs.CL cs.LGcited by 89

On the map: Diffusion models → Discrete and text diffusion

Abstract (arXiv)

Despite remarkable progress in autoregressive language models, alternative generative paradigms beyond left-to-right generation are still being actively explored. Discrete diffusion models, with the capacity for parallel generation, have recently emerged as a promising alternative. Unfortunately, these models still underperform the autoregressive counterparts, with the performance gap increasing when reducing the number of sampling steps. Our analysis reveals that this degradation is a consequence of an imperfect approximation used by diffusion models. In this work, we propose Energy-based Diffusion Language Model (EDLM), an energy-based model operating at the full sequence level for each diffusion step, introduced to improve the underlying approximation used by diffusion models. More specifically, we introduce an EBM in a residual form, and show that its parameters can be obtained by leveraging a pretrained autoregressive model or by finetuning a bidirectional transformer via noise contrastive estimation. We also propose an efficient generation algorithm via parallel important sampling. Comprehensive experiments on language modeling benchmarks show that our model can consistently outperform state-of-the-art diffusion models by a significant margin, and approaches autoregressive models' perplexity. We further show that, without any generation performance drop, our framework offers a 1.3× sampling speedup over existing diffusion models. Reproduced code is available at https://github.com/MinkaiXu/Energy-Diffusion-LLM.

Key facts. Cited by 89 papers in the map (data through 14 Oct 2026). Placed in Discrete and text diffusion, one of 14 directions in Diffusion models. Builds on 36 of its 54 references that are in the map. First posted on arXiv 28 Oct 2024.

Builds on

36 of 54 references.

Closest ancestors · 7

Same direction, newest first

  1. 2024Simplified and Generalized Masked Diffusion for Discrete Data6 Jun
  2. 2023Discrete Diffusion Modeling by Estimating the Ratios of the Data Distribution25 Oct
  3. 2023Likelihood-Based Diffusion Language Models30 May
  4. 2023A Reparameterized Discrete Diffusion Model for Text Generation11 Feb
  5. 2022Continuous diffusion for categorical data28 Nov
  6. 2022SSD-LM: Semi-autoregressive Simplex-based Diffusion Language Model for Text Generation and Modular Control31 Oct
  7. 2021Autoregressive Diffusion Models5 Oct

Other references · 29

  1. 2017Attention Is All You Needcited by 60,361
  2. 2020Language Models are Few-Shot Learnerscited by 32,419
  3. 2020Denoising Diffusion Probabilistic Modelscited by 21,076
  4. 2023LLaMA: Open and Efficient Foundation Language Modelscited by 14,132
  5. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
  6. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,255
  7. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,058
  8. 2022PaLM: Scaling Language Modeling with Pathwayscited by 5,326
  9. 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,101
  10. 2016Pointer Sentinel Mixture Modelscited by 3,096
  11. 2015Character-level Convolutional Networks for Text Classificationcited by 2,330
  12. 2023Code Llama: Open Foundation Models for Codecited by 2,139
17 more
  1. 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,719
  2. 2016The LAMBADA dataset: Word prediction requiring a broad discourse contextcited by 992
  3. 2015Scheduled Sampling for Sequence Prediction with Recurrent Neural Networkscited by 803
  4. 2021Argmax Flows and Multinomial Diffusion: Learning Categorical Distributionscited by 574
  5. 2018A Discourse-Aware Attention Model for Abstractive Summarization of Long Documentscited by 478
  6. 2017Non-Autoregressive Neural Machine Translationcited by 463
  7. 2022A Continuous Time Framework for Discrete Denoising Modelscited by 451
  8. 2024Discrete Flow Matchingcited by 317
  9. 2024Generative Flows on Discrete State-Spaces: Enabling Multimodal Flows with Applications to Protein Co-Designcited by 305
  10. 2018Noise Contrastive Estimation and Negative Sampling for Conditional Models: Consistency and Statistical Efficiencycited by 105
  11. 2021Step-unrolled Denoising Autoencoders for Text Generationcited by 102
  12. 2020Fully Non-autoregressive Neural Machine Translation: Tricks of the Tradecited by 99
  13. 2020Residual Energy-Based Models for Text Generationcited by 95
  14. 2019Discrete Flows: Invertible Generative Models of Discrete Datacited by 68
  15. 2019Latent Normalizing Flows for Discrete Sequencescited by 67
  16. 2022Training and Inference on Any-Order Autoregressive Models the Right Waycited by 64
  17. 2023Bayesian Flow Networkscited by 63

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2024: 1; 2025: 41; 2026: 47.

89 papers.

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  1. 2025Fast-dLLM: Training-free Acceleration of Diffusion LLM by Enabling KV Cache and Parallel Decodingcited by 420
  2. 2025Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusionscited by 214
  3. 2025dKV-Cache: The Cache for Diffusion Language Modelscited by 143
  4. 2025A Survey on Diffusion Language Modelscited by 78
  5. 2025Discrete Diffusion in Large Language and Multimodal Models: A Surveycited by 61
  6. 2025On the Closed-Form of Flow Matching: Generalization Does Not Arise from Target Stochasticitycited by 50
  7. 2025Fast Solvers for Discrete Diffusion Models: Theory and Applications of High-Order Algorithmscited by 47
  8. 2025Theoretical Benefit and Limitation of Diffusion Language Modelcited by 47
  9. 2025KLASS: KL-Guided Fast Inference in Masked Diffusion Modelscited by 47
  10. 2025Fine-Tuning Masked Diffusion for Provable Self-Correctioncited by 39
  11. 2025DrDiff: Dynamic Routing Diffusion with Hierarchical Attention for Breaking the Efficiency-Quality Trade-offcited by 34
  12. 2025Target Concrete Score Matching: A Holistic Framework for Discrete Diffusioncited by 25
38 more
  1. 2025Composition and Control with Distilled Energy Diffusion Models and Sequential Monte Carlocited by 20
  2. 2025Beyond Masked and Unmasked: Discrete Diffusion Models via Partial Maskingcited by 20
  3. 2025Dream-VL & Dream-VLA: Open Vision-Language and Vision-Language-Action Models with Diffusion Language Model Backbonecited by 18
  4. 2025CtrlDiff: Boosting Large Diffusion Language Models with Dynamic Block Prediction and Controllable Generationcited by 17
  5. 2025Any-Order GPT as Masked Diffusion Model: Decoupling Formulation and Architecturecited by 16
  6. 2025Can Diffusion Models Learn Hidden Inter-Feature Rules Behind Images?cited by 15
  7. 2025Reviving Any-Subset Autoregressive Models with Principled Parallel Sampling and Speculative Decodingcited by 15
  8. 2025Variational Autoencoding Discrete Diffusion with Enhanced Dimensional Correlations Modelingcited by 14
  9. 2026Continuous Latent Diffusion Language Modelcited by 14
  10. 2025Discrete Diffusion Trajectory Alignment via Stepwise Decompositioncited by 12
  11. 2026Deferred Commitment Decoding for Diffusion Language Modelscited by 12
  12. 2025Self-Speculative Masked Diffusionscited by 11
  13. 2026Breaking the Factorization Barrier in Diffusion Language Modelscited by 11
  14. 2025Enabling Approximate Joint Sampling in Diffusion LMscited by 10
  15. 2025Demystifying MaskGIT Sampler and Beyond: Adaptive Order Selection in Masked Diffusioncited by 10
  16. 2025Flexible Language Modeling in Continuous Space with Transformer-based Autoregressive Flowscited by 8
  17. 2025Next Semantic Scale Prediction via Hierarchical Diffusion Language Modelscited by 8
  18. 2025An efficient probabilistic hardware architecture for diffusion-like modelscited by 8
  19. 2026IDLM: Inverse-distilled Diffusion Language Modelscited by 8
  20. 2026DLM-Scope: Mechanistic Interpretability of Diffusion Language Models via Sparse Autoencoderscited by 7
  21. 2024Conditional [MASK] Discrete Diffusion Language Modelcited by 5
  22. 2025Categorical Schr"odinger Bridge Matchingcited by 5
  23. 2025Non-Markovian Discrete Diffusion with Causal Language Modelscited by 5
  24. 2026S2D2: Fast Decoding for Diffusion LLMs via Training-Free Self-Speculationcited by 5
  25. 2025Variational Masked Diffusion Modelscited by 4
  26. 2025Think Consistently, Reason Efficiently: Energy-Based Calibration for Implicit Chain-of-Thoughtcited by 4
  27. 2026Zero-Flow Encoderscited by 4
  28. 2026ECHO: Efficient Chest X-ray Report Generation with One-step Block Diffusioncited by 4
  29. 2026DiLaDiff: Distilled Latent-Augmented Diffusion for Language Modelingcited by 4
  30. 2026Provably adaptive sampling with uniform and remasking discrete diffusion modelscited by 4
  31. 2025Generative AI for Autonomous Driving: A Reviewcited by 3
  32. 2025ShortListing Model: A Streamlined SimplexDiffusion for Discrete Variable Generationcited by 3
  33. 2025C3TG: Conflict-aware, Composite, and Collaborative Controlled Text Generationcited by 3
  34. 2025Guided Transfer Learning for Discrete Diffusion Modelscited by 3
  35. 2026Unlocking the Potentials of Retrieval-Augmented Generation for Diffusion Language Modelscited by 3
  36. 2026A Kinetic Energy Perspective of Flow Matchingcited by 3
  37. 2026Few-Step Diffusion Language Models via Trajectory Self-Distillationcited by 3
  38. 2026Matching Features, Not Tokens: Energy-Based Fine-Tuning of Language Modelscited by 3

50 most cited of 89 All 89 (JSON)

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  2. 2023Diffusion Language Models Generation Can Be Halted Early
  3. 2025Breaking AR's Sampling Bottleneck: Provable Acceleration via Diffusion Language Models
  4. 2025Discrete Diffusion Models for Language Generation
  5. 2023Diffusion Models for Non-autoregressive Text Generation: A Survey
  6. 2026Diffusion Language Models: An Experimental Analysis
  7. 2023AR-Diffusion: Auto-Regressive Diffusion Model for Text Generation
  8. 2022DiffuSeq: Sequence to Sequence Text Generation with Diffusion Models