Empowering Diffusion Models on the Embedding Space for Text Generation
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
- 2022Self-conditioned Embedding Diffusion for Text Generation8 Nov
- 2022SSD-LM: Semi-autoregressive Simplex-based Diffusion Language Model for Text Generation and Modular Control31 Oct
- 2022DiffusER: Discrete Diffusion via Edit-based Reconstruction30 Oct
- 2022DiffuSeq: Sequence to Sequence Text Generation with Diffusion Models17 Oct
Other references · 33
- 2017Attention Is All You Needcited by 59,932
- 2020Denoising Diffusion Probabilistic Modelscited by 20,851
- 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,694
- 2020Denoising Diffusion Implicit Modelscited by 9,655
- 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
- 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
- 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
- 2022Classifier-Free Diffusion Guidancecited by 5,717
- 2021Improved Denoising Diffusion Probabilistic Modelscited by 3,736
- 2015Neural Machine Translation of Rare Words with Subword Unitscited by 2,898
- 2018A Call for Clarity in Reporting BLEU Scorescited by 1,790
- 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,665
21 more
- 2020DiffWave: A Versatile Diffusion Model for Audio Synthesiscited by 1,339
- 2020Multilingual Denoising Pre-training for Neural Machine Translationcited by 1,028
- 2020COMET: A Neural Framework for MT Evaluationcited by 1,024
- 2022Diffusion-LM Improves Controllable Text Generationcited by 1,006
- 2019How Contextual are Contextualized Word Representations? Comparing the Geometry of BERT, ELMo, and GPT-2 Embeddingscited by 770
- 2016Sequence-Level Knowledge Distillationcited by 761
- 2020WaveGrad: Estimating Gradients for Waveform Generationcited by 620
- 2021Argmax Flows and Multinomial Diffusion: Learning Categorical Distributionscited by 566
- 2017Non-Autoregressive Neural Machine Translationcited by 457
- 2015A Neural Attention Model for Abstractive Sentence Summarizationcited by 394
- 2022Analog Bits: Generating Discrete Data using Diffusion Models with Self-Conditioningcited by 362
- 2019Representation Degeneration Problem in Training Natural Language Generation Modelscited by 250
- 2018Deterministic Non-Autoregressive Neural Sequence Modeling by Iterative Refinementcited by 194
- 2020Neural CRF Model for Sentence Alignment in Text Simplificationcited by 106
- 2021Step-unrolled Denoising Autoencoders for Text Generationcited by 102
- 2020Fully Non-autoregressive Neural Machine Translation: Tricks of the Tradecited by 99
- 2018Fast, Diverse and Accurate Image Captioning Guided By Part-of-Speechcited by 55
- 2017Quasar: Datasets for Question Answering by Search and Readingcited by 50
- 2022Directed Acyclic Transformer for Non-Autoregressive Machine Translationcited by 44
- 2018Non-Autoregressive Neural Machine Translation with Enhanced Decoder Inputcited by 39
- 2022Diverse Text Generation via Variational Encoder-Decoder Models with Gaussian Process Priorscited by 13
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Citing papers per year: 2022: 1; 2023: 5; 2024: 4; 2025: 15; 2026: 15.
40 papers.
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By area:
- 2024Diffusion Language Models Are Versatile Protein Learnerscited by 93
- 2025A Survey on Diffusion Language Modelscited by 75
- 2022SeqDiffuSeq: Text Diffusion with Encoder-Decoder Transformerscited by 63
- 2023A Text-guided Protein Design Frameworkcited by 61
- 2023FinDiff: Diffusion Models for Financial Tabular Data Generationcited by 41
- 2025Continuously Augmented Discrete Diffusion model for Categorical Generative Modelingcited by 32
- 2025CANDI: Hybrid Discrete-Continuous Diffusion Modelscited by 31
- 2026ELF: Embedded Language Flowscited by 27
- 2024TEncDM: Understanding the Properties of the Diffusion Model in the Space of Language Model Encodingscited by 22
- 2025CDLM: Consistency Diffusion Language Models For Faster Samplingcited by 20
- 2025DLM-One: Diffusion Language Models for One-Step Sequence Generationcited by 19
- 2023Diffusion Models in NLP: A Surveycited by 16
28 more
- 2023A Survey of Diffusion Models in Natural Language Processingcited by 16
- 2025Beyond Next-Token Prediction: A Performance Characterization of Diffusion versus Autoregressive Language Modelscited by 13
- 2026How to Train Your Latent Diffusion Language Model Jointly With the Latent Spacecited by 8
- 2023RecFusion: A Binomial Diffusion Process for 1D Data for Recommendationcited by 6
- 2026Streaming-dLLM: Accelerating Diffusion LLMs via Suffix Pruning and Dynamic Decodingcited by 6
- 2024Improving Vector-Quantized Image Modeling with Latent Consistency-Matching Diffusioncited by 5
- 2025OZSpeech: One-step Zero-shot Speech Synthesis with Learned-Prior-Conditioned Flow Matchingcited by 4
- 2025Unifying Continuous and Discrete Text Diffusion with Non-simultaneous Diffusion Processescited by 4
- 2025Unlocking the Power of Diffusion Models in Sequential Recommendation: A Simple and Effective Approachcited by 3
- 2025Stochastic and Non-local Closure Modeling for Nonlinear Dynamical Systems via Latent Score-based Generative Modelscited by 3
- 2025Clustering via Self-Supervised Diffusioncited by 3
- 2025UniModel: A Visual-Only Framework for Unified Multimodal Understanding and Generationcited by 3
- 2026Why Gaussian Diffusion Models Fail on Discrete Data and How to Prevent It?cited by 3
- 2024Meta-DiffuB: A Contextualized Sequence-to-Sequence Text Diffusion Model with Meta-Explorationcited by 2
- 2026FastDiSS: Few-step Match Many-step Diffusion Language Model on Sequence-to-Sequence Generation--Full Versioncited by 2
- 2025Bringing Emerging Architectures to Sequence Labeling in NLPcited by 1
- 2025Foundations of Diffusion Models in General State Spaces: A Self-Contained Introductioncited by 1
- 2026CRoCoDiL: Continuous and Robust Conditioned Diffusion for Languagecited by 1
- 2026DSL-LLaDA: Scaling Continuous Denoising to 8B Masked Diffusion LMscited by 1
- 2026ELF-REG: Scaling Continuous Diffusion Language Models to Reasoning Taskscited by 1
- 2025Discriminative protein sequence modelling with Latent Space Diffusioncited by 0
- 2026Latent Shadows: The Gaussian-Discrete Duality in Masked Diffusioncited by 0
- 2026Sentence Curve Language Modelscited by 0
- 2026Optimality of FSQ Tokens for Continuous Diffusion for Categorical Data with Application to Text-to-Speechcited by 0
- 2026x-Prediction Flow: Efficient Continuous Decoding for Masked Diffusion Language Modelscited by 0
- 2026Conservation Laws for Diffusion Modelscited by 0
- 2026When Denoising Hurts: Rethinking the Terminal Step of Diffusion Time Series Forecasters -- Extended Versioncited by 0
- 2026Scaling and Distilling Text Embeddings for Better Diffusibilitycited by 0
- 2026Scaling and Distilling Text Embeddings for Better Diffusibility1 Oct 2026
- 2026ELF-REG: Scaling Continuous Diffusion Language Models to Reasoning Tasks24 Sep 2026
- 2026When Denoising Hurts: Rethinking the Terminal Step of Diffusion Time Series Forecasters -- Extended Version14 Aug 2026
- 2026Conservation Laws for Diffusion Models11 Jul 2026
- 2026x-Prediction Flow: Efficient Continuous Decoding for Masked Diffusion Language Models27 Jun 2026
- 2026Optimality of FSQ Tokens for Continuous Diffusion for Categorical Data with Application to Text-to-Speech8 Jun 2026
- 2026DSL-LLaDA: Scaling Continuous Denoising to 8B Masked Diffusion LMs31 May 2026
- 2026ELF: Embedded Language Flows11 May 2026
- 2026How to Train Your Latent Diffusion Language Model Jointly With the Latent Space8 May 2026
- 2026FastDiSS: Few-step Match Many-step Diffusion Language Model on Sequence-to-Sequence Generation--Full Version7 Apr 2026
- 2026Why Gaussian Diffusion Models Fail on Discrete Data and How to Prevent It?2 Apr 2026
- 2026CRoCoDiL: Continuous and Robust Conditioned Diffusion for Language2 Mar 2026
28 more
- 2026Sentence Curve Language Models2 Feb 2026
- 2026Latent Shadows: The Gaussian-Discrete Duality in Masked Diffusion31 Jan 2026
- 2026Streaming-dLLM: Accelerating Diffusion LLMs via Suffix Pruning and Dynamic Decoding25 Jan 2026
- 2025Foundations of Diffusion Models in General State Spaces: A Self-Contained Introduction4 Dec 2025
- 2025CDLM: Consistency Diffusion Language Models For Faster Sampling24 Nov 2025
- 2025UniModel: A Visual-Only Framework for Unified Multimodal Understanding and Generation21 Nov 2025
- 2025CANDI: Hybrid Discrete-Continuous Diffusion Models26 Oct 2025
- 2025Beyond Next-Token Prediction: A Performance Characterization of Diffusion versus Autoregressive Language Models5 Oct 2025
- 2025Continuously Augmented Discrete Diffusion model for Categorical Generative Modeling1 Oct 2025
- 2025Bringing Emerging Architectures to Sequence Labeling in NLP30 Sep 2025
- 2025A Survey on Diffusion Language Models14 Aug 2025
- 2025Clustering via Self-Supervised Diffusion6 Jul 2025
- 2025Stochastic and Non-local Closure Modeling for Nonlinear Dynamical Systems via Latent Score-based Generative Models25 Jun 2025
- 2025DLM-One: Diffusion Language Models for One-Step Sequence Generation30 May 2025
- 2025Unifying Continuous and Discrete Text Diffusion with Non-simultaneous Diffusion Processes28 May 2025
- 2025Unlocking the Power of Diffusion Models in Sequential Recommendation: A Simple and Effective Approach26 May 2025
- 2025OZSpeech: One-step Zero-shot Speech Synthesis with Learned-Prior-Conditioned Flow Matching19 May 2025
- 2025Discriminative protein sequence modelling with Latent Space Diffusion24 Mar 2025
- 2024Improving Vector-Quantized Image Modeling with Latent Consistency-Matching Diffusion18 Oct 2024
- 2024Meta-DiffuB: A Contextualized Sequence-to-Sequence Text Diffusion Model with Meta-Exploration17 Oct 2024
- 2024TEncDM: Understanding the Properties of the Diffusion Model in the Space of Language Model Encodings29 Feb 2024
- 2024Diffusion Language Models Are Versatile Protein Learners28 Feb 2024
- 2023FinDiff: Diffusion Models for Financial Tabular Data Generation4 Sep 2023
- 2023RecFusion: A Binomial Diffusion Process for 1D Data for Recommendation15 Jun 2023
- 2023A Survey of Diffusion Models in Natural Language Processing24 May 2023
- 2023Diffusion Models in NLP: A Survey14 Mar 2023
- 2023A Text-guided Protein Design Framework9 Feb 2023
- 2022SeqDiffuSeq: Text Diffusion with Encoder-Decoder Transformers20 Dec 2022
- 2024Diffusion Language Models Are Versatile Protein Learnerscited by 93
- 2025A Survey on Diffusion Language Modelscited by 75
- 2022SeqDiffuSeq: Text Diffusion with Encoder-Decoder Transformerscited by 63
- 2023FinDiff: Diffusion Models for Financial Tabular Data Generationcited by 41
- 2025Continuously Augmented Discrete Diffusion model for Categorical Generative Modelingcited by 32
- 2025CANDI: Hybrid Discrete-Continuous Diffusion Modelscited by 31
- 2026ELF: Embedded Language Flowscited by 27
- 2024TEncDM: Understanding the Properties of the Diffusion Model in the Space of Language Model Encodingscited by 22
- 2025CDLM: Consistency Diffusion Language Models For Faster Samplingcited by 20
- 2025DLM-One: Diffusion Language Models for One-Step Sequence Generationcited by 19
- 2023Diffusion Models in NLP: A Surveycited by 16
- 2023A Survey of Diffusion Models in Natural Language Processingcited by 16
12 most cited of 35 All 35 (JSON)
- 2026Scaling and Distilling Text Embeddings for Better Diffusibility1 Oct 2026
- 2026When Denoising Hurts: Rethinking the Terminal Step of Diffusion Time Series Forecasters -- Extended Version14 Aug 2026
- 2026Conservation Laws for Diffusion Models11 Jul 2026
- 2026x-Prediction Flow: Efficient Continuous Decoding for Masked Diffusion Language Models27 Jun 2026
- 2026Optimality of FSQ Tokens for Continuous Diffusion for Categorical Data with Application to Text-to-Speech8 Jun 2026
- 2026DSL-LLaDA: Scaling Continuous Denoising to 8B Masked Diffusion LMs31 May 2026
- 2026ELF: Embedded Language Flows11 May 2026
- 2026How to Train Your Latent Diffusion Language Model Jointly With the Latent Space8 May 2026
- 2026FastDiSS: Few-step Match Many-step Diffusion Language Model on Sequence-to-Sequence Generation--Full Version7 Apr 2026
- 2026Why Gaussian Diffusion Models Fail on Discrete Data and How to Prevent It?2 Apr 2026
- 2026CRoCoDiL: Continuous and Robust Conditioned Diffusion for Language2 Mar 2026
- 2026Sentence Curve Language Models2 Feb 2026
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