mlsanityData to 7 Oct 2026

Empowering Diffusion Models on the Embedding Space for Text Generation

arXiv 2212.09412 ↗First posted 19 Dec 2022cs.CL cs.AI cs.LGcited by 40

On the map: Diffusion models → Discrete and text diffusion

Abstract (arXiv)

Diffusion models have achieved state-of-the-art synthesis quality on both visual and audio tasks, and recent works further adapt them to textual data by diffusing on the embedding space. In this paper, we conduct systematic studies of the optimization challenges encountered with both the embedding space and the denoising model, which have not been carefully explored. Firstly, the data distribution is learnable for embeddings, which may lead to the collapse of the embedding space and unstable training. To alleviate this problem, we propose a new objective called the anchor loss which is more efficient than previous methods. Secondly, we find the noise levels of conventional schedules are insufficient for training a desirable denoising model while introducing varying degrees of degeneration in consequence. To address this challenge, we propose a novel framework called noise rescaling. Based on the above analysis, we propose Difformer, an embedding diffusion model based on Transformer. Experiments on varieties of seminal text generation tasks show the effectiveness of the proposed methods and the superiority of Difformer over previous state-of-the-art embedding diffusion baselines.

Key facts. Cited by 40 papers in the map (data through 7 Oct 2026). Placed in Discrete and text diffusion, one of 14 directions in Diffusion models. Builds on 37 of its 57 references that are in the map. First posted on arXiv 19 Dec 2022.

Builds on

37 of 57 references.

Closest ancestors · 4

Same direction, newest first

  1. 2022Self-conditioned Embedding Diffusion for Text Generation8 Nov
  2. 2022SSD-LM: Semi-autoregressive Simplex-based Diffusion Language Model for Text Generation and Modular Control31 Oct
  3. 2022DiffusER: Discrete Diffusion via Edit-based Reconstruction30 Oct
  4. 2022DiffuSeq: Sequence to Sequence Text Generation with Diffusion Models17 Oct

Other references · 33

  1. 2017Attention Is All You Needcited by 59,932
  2. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  3. 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,694
  4. 2020Denoising Diffusion Implicit Modelscited by 9,655
  5. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
  6. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
  7. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
  8. 2022Classifier-Free Diffusion Guidancecited by 5,717
  9. 2021Improved Denoising Diffusion Probabilistic Modelscited by 3,736
  10. 2015Neural Machine Translation of Rare Words with Subword Unitscited by 2,898
  11. 2018A Call for Clarity in Reporting BLEU Scorescited by 1,790
  12. 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,665
21 more
  1. 2020DiffWave: A Versatile Diffusion Model for Audio Synthesiscited by 1,339
  2. 2020Multilingual Denoising Pre-training for Neural Machine Translationcited by 1,028
  3. 2020COMET: A Neural Framework for MT Evaluationcited by 1,024
  4. 2022Diffusion-LM Improves Controllable Text Generationcited by 1,006
  5. 2019How Contextual are Contextualized Word Representations? Comparing the Geometry of BERT, ELMo, and GPT-2 Embeddingscited by 770
  6. 2016Sequence-Level Knowledge Distillationcited by 761
  7. 2020WaveGrad: Estimating Gradients for Waveform Generationcited by 620
  8. 2021Argmax Flows and Multinomial Diffusion: Learning Categorical Distributionscited by 566
  9. 2017Non-Autoregressive Neural Machine Translationcited by 457
  10. 2015A Neural Attention Model for Abstractive Sentence Summarizationcited by 394
  11. 2022Analog Bits: Generating Discrete Data using Diffusion Models with Self-Conditioningcited by 362
  12. 2019Representation Degeneration Problem in Training Natural Language Generation Modelscited by 250
  13. 2018Deterministic Non-Autoregressive Neural Sequence Modeling by Iterative Refinementcited by 194
  14. 2020Neural CRF Model for Sentence Alignment in Text Simplificationcited by 106
  15. 2021Step-unrolled Denoising Autoencoders for Text Generationcited by 102
  16. 2020Fully Non-autoregressive Neural Machine Translation: Tricks of the Tradecited by 99
  17. 2018Fast, Diverse and Accurate Image Captioning Guided By Part-of-Speechcited by 55
  18. 2017Quasar: Datasets for Question Answering by Search and Readingcited by 50
  19. 2022Directed Acyclic Transformer for Non-Autoregressive Machine Translationcited by 44
  20. 2018Non-Autoregressive Neural Machine Translation with Enhanced Decoder Inputcited by 39
  21. 2022Diverse Text Generation via Variational Encoder-Decoder Models with Gaussian Process Priorscited by 13

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 1; 2023: 5; 2024: 4; 2025: 15; 2026: 15.

40 papers.

Sort:

By area:

  1. 2024Diffusion Language Models Are Versatile Protein Learnerscited by 93
  2. 2025A Survey on Diffusion Language Modelscited by 75
  3. 2022SeqDiffuSeq: Text Diffusion with Encoder-Decoder Transformerscited by 63
  4. 2023A Text-guided Protein Design Frameworkcited by 61
  5. 2023FinDiff: Diffusion Models for Financial Tabular Data Generationcited by 41
  6. 2025Continuously Augmented Discrete Diffusion model for Categorical Generative Modelingcited by 32
  7. 2025CANDI: Hybrid Discrete-Continuous Diffusion Modelscited by 31
  8. 2026ELF: Embedded Language Flowscited by 27
  9. 2024TEncDM: Understanding the Properties of the Diffusion Model in the Space of Language Model Encodingscited by 22
  10. 2025CDLM: Consistency Diffusion Language Models For Faster Samplingcited by 20
  11. 2025DLM-One: Diffusion Language Models for One-Step Sequence Generationcited by 19
  12. 2023Diffusion Models in NLP: A Surveycited by 16
28 more
  1. 2023A Survey of Diffusion Models in Natural Language Processingcited by 16
  2. 2025Beyond Next-Token Prediction: A Performance Characterization of Diffusion versus Autoregressive Language Modelscited by 13
  3. 2026How to Train Your Latent Diffusion Language Model Jointly With the Latent Spacecited by 8
  4. 2023RecFusion: A Binomial Diffusion Process for 1D Data for Recommendationcited by 6
  5. 2026Streaming-dLLM: Accelerating Diffusion LLMs via Suffix Pruning and Dynamic Decodingcited by 6
  6. 2024Improving Vector-Quantized Image Modeling with Latent Consistency-Matching Diffusioncited by 5
  7. 2025OZSpeech: One-step Zero-shot Speech Synthesis with Learned-Prior-Conditioned Flow Matchingcited by 4
  8. 2025Unifying Continuous and Discrete Text Diffusion with Non-simultaneous Diffusion Processescited by 4
  9. 2025Unlocking the Power of Diffusion Models in Sequential Recommendation: A Simple and Effective Approachcited by 3
  10. 2025Stochastic and Non-local Closure Modeling for Nonlinear Dynamical Systems via Latent Score-based Generative Modelscited by 3
  11. 2025Clustering via Self-Supervised Diffusioncited by 3
  12. 2025UniModel: A Visual-Only Framework for Unified Multimodal Understanding and Generationcited by 3
  13. 2026Why Gaussian Diffusion Models Fail on Discrete Data and How to Prevent It?cited by 3
  14. 2024Meta-DiffuB: A Contextualized Sequence-to-Sequence Text Diffusion Model with Meta-Explorationcited by 2
  15. 2026FastDiSS: Few-step Match Many-step Diffusion Language Model on Sequence-to-Sequence Generation--Full Versioncited by 2
  16. 2025Bringing Emerging Architectures to Sequence Labeling in NLPcited by 1
  17. 2025Foundations of Diffusion Models in General State Spaces: A Self-Contained Introductioncited by 1
  18. 2026CRoCoDiL: Continuous and Robust Conditioned Diffusion for Languagecited by 1
  19. 2026DSL-LLaDA: Scaling Continuous Denoising to 8B Masked Diffusion LMscited by 1
  20. 2026ELF-REG: Scaling Continuous Diffusion Language Models to Reasoning Taskscited by 1
  21. 2025Discriminative protein sequence modelling with Latent Space Diffusioncited by 0
  22. 2026Latent Shadows: The Gaussian-Discrete Duality in Masked Diffusioncited by 0
  23. 2026Sentence Curve Language Modelscited by 0
  24. 2026Optimality of FSQ Tokens for Continuous Diffusion for Categorical Data with Application to Text-to-Speechcited by 0
  25. 2026x-Prediction Flow: Efficient Continuous Decoding for Masked Diffusion Language Modelscited by 0
  26. 2026Conservation Laws for Diffusion Modelscited by 0
  27. 2026When Denoising Hurts: Rethinking the Terminal Step of Diffusion Time Series Forecasters -- Extended Versioncited by 0
  28. 2026Scaling and Distilling Text Embeddings for Better Diffusibilitycited by 0

Similar, not cited

Close in wording, no citation either way

  1. 2022DiffusionBERT: Improving Generative Masked Language Models with Diffusion Models
  2. 2023A Cheaper and Better Diffusion Language Model with Soft-Masked Noise
  3. 2023Can Diffusion Model Achieve Better Performance in Text Generation? Bridging the Gap between Training and Inference!
  4. 2025Simple Denoising Diffusion Language Models
  5. 2025GRAN-TED: Generating Robust, Aligned, and Nuanced Text Embedding for Diffusion Models
  6. 2025Diffusion Adaptive Text Embedding for Text-to-Image Diffusion Models
  7. 2025Understanding the Quality-Diversity Trade-off in Diffusion Language Models
  8. 2023Controlled and Conditional Text to Image Generation with Diffusion Prior