One-Step Diffusion Distillation through Score Implicit Matching
On the map: Diffusion models → Diffusion foundations and sampling
Abstract (arXiv)
Despite their strong performances on many generative tasks, diffusion models require a large number of sampling steps in order to generate realistic samples. This has motivated the community to develop effective methods to distill pre-trained diffusion models into more efficient models, but these methods still typically require few-step inference or perform substantially worse than the underlying model. In this paper, we present Score Implicit Matching (SIM) a new approach to distilling pre-trained diffusion models into single-step generator models, while maintaining almost the same sample generation ability as the original model as well as being data-free with no need of training samples for distillation. The method rests upon the fact that, although the traditional score-based loss is intractable to minimize for generator models, under certain conditions we can efficiently compute the gradients for a wide class of score-based divergences between a diffusion model and a generator. SIM shows strong empirical performances for one-step generators: on the CIFAR10 dataset, it achieves an FID of 2.06 for unconditional generation and 1.96 for class-conditional generation. Moreover, by applying SIM to a leading transformer-based diffusion model, we distill a single-step generator for text-to-image (T2I) generation that attains an aesthetic score of 6.42 with no performance decline over the original multi-step counterpart, clearly outperforming the other one-step generators including SDXL-TURBO of 5.33, SDXL-LIGHTNING of 5.34 and HYPER-SDXL of 5.85. We will release this industry-ready one-step transformer-based T2I generator along with this paper.
Key facts. Cited by 71 papers in the map (data through 14 Oct 2026). Placed in Diffusion foundations and sampling, one of 14 directions in Diffusion models. Builds on 79 of its 90 references that are in the map. First posted on arXiv 22 Oct 2024.
Builds on
79 of 90 references.
Closest ancestors · 37
Same direction, newest first
- 2024Consistency Models Made Easy20 Jun
- 2024Variational Schr"odinger Diffusion Models8 May
- 2024Hyper-SD: Trajectory Segmented Consistency Model for Efficient Image Synthesis21 Apr
- 2024Score identity Distillation: Exponentially Fast Distillation of Pretrained Diffusion Models for One-Step Generation5 Apr
- 2024SDXS: Real-Time One-Step Latent Diffusion Models with Image Conditions25 Mar
- 2024Scaling Rectified Flow Transformers for High-Resolution Image Synthesis5 Mar
- 2024SCott: Accelerating Diffusion Models with Stochastic Consistency Distillation3 Mar
- 2024Trajectory Consistency Distillation: Improved Latent Consistency Distillation by Semi-Linear Consistency Function with Trajectory Mapping29 Feb
- 2024SDXL-Lightning: Progressive Adversarial Diffusion Distillation21 Feb
- 2023One-Step Diffusion Distillation via Deep Equilibrium Models12 Dec
- 2023One-step Diffusion with Distribution Matching Distillation30 Nov
- 2023SMaRt: Improving GANs with Score Matching Regularity30 Nov
25 more
- 2023Adversarial Diffusion Distillation28 Nov
- 2023Improved Techniques for Training Consistency Models22 Oct
- 2023Latent Consistency Models: Synthesizing High-Resolution Images with Few-Step Inference6 Oct
- 2023Consistency Trajectory Models: Learning Probability Flow ODE Trajectory of Diffusion1 Oct
- 2023PixArt-α: Fast Training of Diffusion Transformer for Photorealistic Text-to-Image Synthesis30 Sep
- 2023SA-Solver: Stochastic Adams Solver for Fast Sampling of Diffusion Models10 Sep
- 2023SDXL: Improving Latent Diffusion Models for High-Resolution Image Synthesis4 Jul
- 2023BOOT: Data-free Distillation of Denoising Diffusion Models with Bootstrapping8 Jun
- 2023Diff-Instruct: A Universal Approach for Transferring Knowledge From Pre-trained Diffusion Models29 May
- 2023Patch Diffusion: Faster and More Data-Efficient Training of Diffusion Models25 Apr
- 2023A Comprehensive Survey on Knowledge Distillation of Diffusion Models9 Apr
- 2023Consistency Models2 Mar
- 2022Scalable Diffusion Models with Transformers19 Dec
- 2022Fast Sampling of Diffusion Models via Operator Learning24 Nov
- 2022Deep Equilibrium Approaches to Diffusion Models23 Oct
- 2022On Distillation of Guided Diffusion Models6 Oct
- 2022DPM-Solver: A Fast ODE Solver for Diffusion Probabilistic Model Sampling in Around 10 Steps2 Jun
- 2022Elucidating the Design Space of Diffusion-Based Generative Models1 Jun
- 2022Fast Sampling of Diffusion Models with Exponential Integrator29 Apr
- 2021High-Resolution Image Synthesis with Latent Diffusion Models20 Dec
- 2021Tackling the Generative Learning Trilemma with Denoising Diffusion GANs15 Dec
- 2021Improved Denoising Diffusion Probabilistic Models18 Feb
- 2021Knowledge Distillation in Iterative Generative Models for Improved Sampling Speed7 Jan
- 2020Score-Based Generative Modeling through Stochastic Differential Equations26 Nov
- 2020Denoising Diffusion Probabilistic Models19 Jun
Other references · 42
- 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,058
- 2022Photorealistic Text-to-Image Diffusion Models with Deep Language Understandingcited by 6,355
- 2023Adding Conditional Control to Text-to-Image Diffusion Modelscited by 5,503
- 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flowcited by 3,700
- 2019Analyzing and Improving the Image Quality of StyleGANcited by 3,588
- 2022DreamBooth: Fine Tuning Text-to-Image Diffusion Models for Subject-Driven Generationcited by 3,300
- 2022DreamFusion: Text-to-3D using 2D Diffusioncited by 3,025
- 2016Improved Techniques for Training GANscited by 2,970
- 2018Large Scale GAN Training for High Fidelity Natural Image Synthesiscited by 2,626
- 2022InstructPix2Pix: Learning to Follow Image Editing Instructionscited by 2,611
- 2022Prompt-to-Prompt Image Editing with Cross Attention Controlcited by 2,431
- 2022Video Diffusion Modelscited by 2,305
30 more
- 2022An Image is Worth One Word: Personalizing Text-to-Image Generation using Textual Inversioncited by 2,245
- 2016WaveNet: A Generative Model for Raw Audiocited by 1,722
- 2018Glow: Generative Flow with Invertible 1x1 Convolutionscited by 1,545
- 2022Magic3D: High-Resolution Text-to-3D Content Creationcited by 1,290
- 2023ProlificDreamer: High-Fidelity and Diverse Text-to-3D Generation with Variational Score Distillationcited by 1,219
- 2020Training Generative Adversarial Networks with Limited Datacited by 1,186
- 2022Null-text Inversion for Editing Real Images using Guided Diffusion Modelscited by 1,179
- 2022Imagic: Text-Based Real Image Editing with Diffusion Modelscited by 1,178
- 2022eDiff-I: Text-to-Image Diffusion Models with an Ensemble of Expert Denoiserscited by 931
- 2022Equivariant Diffusion for Molecule Generation in 3Dcited by 677
- 2022DiffEdit: Diffusion-based semantic image editing with mask guidancecited by 647
- 2021DiffusionCLIP: Text-Guided Diffusion Models for Robust Image Manipulationcited by 642
- 2022StyleGAN-XL: Scaling StyleGAN to Large Diverse Datasetscited by 492
- 2022Blended Latent Diffusioncited by 432
- 2019Residual Flows for Invertible Generative Modelingcited by 257
- 2022Diffusion-GAN: Training GANs with Diffusioncited by 205
- 2023UFOGen: You Forward Once Large Scale Text-to-Image Generation via Diffusion GANscited by 166
- 2023RAPHAEL: Text-to-Image Generation via Large Mixture of Diffusion Pathscited by 142
- 2023Delta Denoising Scorecited by 121
- 2023SwiftBrush: One-Step Text-to-Image Diffusion Model with Variational Score Distillationcited by 110
- 2024Flow map matching with stochastic interpolants: A mathematical framework for consistency modelscited by 109
- 2024PeRFlow: Piecewise Rectified Flow as Universal Plug-and-Play Acceleratorcited by 97
- 2021Guided-TTS: A Diffusion Model for Text-to-Speech via Classifier Guidancecited by 84
- 2020Feature Quantization Improves GAN Trainingcited by 23
- 2023Enhancing Adversarial Robustness via Score-Based Optimizationcited by 19
- 2023Entropy-based Training Methods for Scalable Neural Implicit Samplercited by 13
- 2023Purify++: Improving Diffusion-Purification with Advanced Diffusion Models and Control of Randomnesscited by 13
- 2024Integrating Amortized Inference with Diffusion Models for Learning Clean Distribution from Corrupted Imagescited by 12
- 2023A Lipschitz Bandits Approach for Continuous Hyperparameter Optimizationcited by 9
- 2023Training Energy-Based Models with Diffusion Contrastive Divergencescited by 9
Built on by
Citing papers per year: 2024: 7; 2025: 30; 2026: 34.
71 papers.
Sort:
By area:
- 2025Self Forcing: Bridging the Train-Test Gap in Autoregressive Video Diffusioncited by 625
- 2024From Slow Bidirectional to Fast Autoregressive Video Diffusion Modelscited by 433
- 2025Inductive Moment Matchingcited by 113
- 2025SANA-Sprint: One-Step Diffusion with Continuous-Time Consistency Distillationcited by 87
- 2025One-step Diffusion Models with f-Divergence Distribution Matchingcited by 43
- 2025Adversarial Distribution Matching for Diffusion Distillation Towards Efficient Image and Video Synthesiscited by 41
- 2026Representation Fr'echet Loss for Visual Generationcited by 37
- 2024Diff-Instruct++: Training One-step Text-to-image Generator Model to Align with Human Preferencescited by 31
- 2024Schedule On the Fly: Diffusion Time Prediction for Faster and Better Image Generationcited by 30
- 2026Transition Matching Distillation for Fast Video Generationcited by 30
- 2025pi-Flow: Policy-Based Few-Step Generation via Imitation Distillationcited by 29
- 2024Flow Generator Matchingcited by 26
38 more
- 2024Self-Guidance: Boosting Flow and Diffusion Generation on Their Owncited by 23
- 2025Dual-Expert Consistency Model for Efficient and High-Quality Video Generationcited by 21
- 2026Flash-WAM: Modality-Aware Distillation for World Action Modelscited by 19
- 2026Streaming Autoregressive Video Generation via Diagonal Distillationcited by 18
- 2025Ultra-Fast Language Generation via Discrete Diffusion Divergence Instructcited by 16
- 2025AccVideo: Accelerating Video Diffusion Model with Synthetic Datasetcited by 15
- 2025Flow Map Distillation Without Datacited by 14
- 2025Uni-Instruct: One-step Diffusion Model through Unified Diffusion Divergence Instructioncited by 13
- 2025RayFlow: Instance-Aware Diffusion Acceleration via Adaptive Flow Trajectoriescited by 12
- 2025Few-Step Diffusion via Score identity Distillationcited by 12
- 2024Accelerating Video Diffusion Models via Distribution Matchingcited by 11
- 2025LinVideo: A Post-Training Framework towards O(n) Attention in Efficient Video Generationcited by 11
- 2025ORIGEN: Zero-Shot 3D Orientation Grounding in Text-to-Image Generationcited by 10
- 2025Learning to Integrate Diffusion ODEs by Averaging the Derivativescited by 10
- 2026Parallel Decoding Distillation for Fast Image and Video Generationcited by 10
- 2024David and Goliath: Small One-step Model Beats Large Diffusion with Score Post-trainingcited by 9
- 2025Autoregressive Distillation of Diffusion Transformerscited by 9
- 2025HERO: Hierarchical Extrapolation and Refresh for Efficient World Modelscited by 9
- 2026Data-Forcing Distillation: Restoring Diversity and Fidelity in Few-Step Video Generationcited by 9
- 2025Modular MeanFlow: Towards Stable and Scalable One-Step Generative Modelingcited by 8
- 2025Score Distillation of Flow Matching Modelscited by 8
- 2026TDM-R1: Reinforcing Few-Step Diffusion Models with Non-Differentiable Rewardcited by 7
- 2026Adaptive Video Distillation: Mitigating Oversaturation and Temporal Collapse in Few-Step Generationcited by 7
- 2026RAVEN: Real-time Autoregressive Video Extrapolation with Consistency-model GRPOcited by 7
- 2025Soft-Di[M]O: Improving One-Step Discrete Image Generation with Soft Embeddingscited by 6
- 2026Reward-Forcing: Autoregressive Video Generation with Reward Feedbackcited by 6
- 2026SGMD: Score Gradient Matching Distillation for Few-Step Video Diffusion Distillationcited by 6
- 2025A Survey on Pre-Trained Diffusion Model Distillationscited by 5
- 2025MobileI2V: Fast and High-Resolution Image-to-Video on Mobile Devicescited by 4
- 2026TP-Blend: Textual-Prompt Attention Pairing for Precise Object-Style Blending in Diffusion Modelscited by 4
- 2026DUO-VSR: Dual-Stream Distillation for One-Step Video Super-Resolutioncited by 4
- 2026SubFlow: Sub-mode Conditioned Flow Matching for Diverse One-Step Generationcited by 4
- 2026Midpoint Generative Modelscited by 4
- 2025TRIM: Scalable 3D Gaussian Diffusion Inference with Temporal and Spatial Trimmingcited by 3
- 2026Teacher-Feature Drifting: One-Step Diffusion Distillation with Pretrained Diffusion Representationscited by 3
- 2025Constrained Diffusion Models for Synthesizing Representative Power Flow Datasetscited by 2
- 2025Hierarchical Koopman Diffusion: Fast Generation with Interpretable Diffusion Trajectorycited by 2
- 2025Plug-and-Play Fidelity Optimization for Diffusion Transformer Acceleration via Cumulative Error Minimizationcited by 2
50 most cited of 71 All 71 (JSON)
- 2026PixARG: Pixel-Asynchronous Retrieval-Augmented Diffusion for Fast and Realistic Image Generation10 Oct 2026
- 2026SpectralCache: Accelerating Diffusion-Based World Models via Spectral Feature Caching2 Oct 2026
- 2026ViRDM: Taming Representation Distribution Matching for Few-Step Causal Video Generation24 Sep 2026
- 2026Uncertainty DMD: Restoring Diversity in Few-Step Autoregressive Video Distillation10 Sep 2026
- 2026DefaultShift: Auditing Semantic Default Shift in Accelerated Text-to-Image Models22 Aug 2026
- 2026DUET: A Diversity-Quality Duet of Distillation Experts for Two-Step Video Generation10 Aug 2026
- 2026RL-Native Distillation: Exploiting Scored Trajectories for Few-Step Image Generation10 Aug 2026
- 2026Parallel Decoding Distillation for Fast Image and Video Generation28 Jul 2026
- 2026DiFA: Inference-Time Forward-Process Alignment for Diffusion Models20 Jul 2026
- 2026RoamFlow: Reinforcement-Aligned One-Step Action MeanFlow Policy for Image-Goal Navigation29 Jun 2026
- 2026ARIA: Adaptive Region-Based Importance Allocation for Conditional Diffusion Distillation22 Jun 2026
- 2026Data-Forcing Distillation: Restoring Diversity and Fidelity in Few-Step Video Generation16 Jun 2026
38 more
- 2026Flash-WAM: Modality-Aware Distillation for World Action Models3 Jun 2026
- 2026SGMD: Score Gradient Matching Distillation for Few-Step Video Diffusion Distillation28 May 2026
- 2026Midpoint Generative Models28 May 2026
- 2026Unbiased Diffusion Variational Inversion via Principled Posterior Matching24 May 2026
- 2026RAVEN: Real-time Autoregressive Video Extrapolation with Consistency-model GRPO14 May 2026
- 2026Teacher-Feature Drifting: One-Step Diffusion Distillation with Pretrained Diffusion Representations8 May 2026
- 2026Representation Fr'echet Loss for Visual Generation30 Apr 2026
- 2026On the Memorization of Consistency Distillation for Diffusion Models26 Apr 2026
- 2026Efficient Diffusion Distillation via Embedding Loss24 Apr 2026
- 2026SubFlow: Sub-mode Conditioned Flow Matching for Diverse One-Step Generation14 Apr 2026
- 2026Beyond Fixed Inference: Quantitative Flow Matching for Adaptive Image Denoising2 Apr 2026
- 2026Rdm: Re-conceptualizing Distribution Matching as a Reward for Diffusion Distillation30 Mar 2026
- 2026DUO-VSR: Dual-Stream Distillation for One-Step Video Super-Resolution23 Mar 2026
- 2026Adaptive Video Distillation: Mitigating Oversaturation and Temporal Collapse in Few-Step Generation23 Mar 2026
- 2026Streaming Autoregressive Video Generation via Diagonal Distillation10 Mar 2026
- 2026TDM-R1: Reinforcing Few-Step Diffusion Models with Non-Differentiable Reward8 Mar 2026
- 2026OSI: One-step Inversion Excels in Extracting Diffusion Watermarks10 Feb 2026
- 2026Ultra Fast PDE Solving via Physics Guided Few-step Diffusion3 Feb 2026
- 2026GPD: Guided Progressive Distillation for Fast and High-Quality Video Generation2 Feb 2026
- 2026Reward-Forcing: Autoregressive Video Generation with Reward Feedback23 Jan 2026
- 2026Transition Matching Distillation for Fast Video Generation14 Jan 2026
- 2026TP-Blend: Textual-Prompt Attention Pairing for Precise Object-Style Blending in Diffusion Models12 Jan 2026
- 2025Plug-and-Play Fidelity Optimization for Diffusion Transformer Acceleration via Cumulative Error Minimization29 Dec 2025
- 2025MobileI2V: Fast and High-Resolution Image-to-Video on Mobile Devices26 Nov 2025
- 2025Flow Map Distillation Without Data24 Nov 2025
- 2025TRIM: Scalable 3D Gaussian Diffusion Inference with Temporal and Spatial Trimming20 Nov 2025
- 2025Masked Auto-Regressive Variational Acceleration: Fast Inference Makes Practical Reinforcement Learning19 Nov 2025
- 2025One-step Diffusion Models with Bregman Density Ratio Matching19 Oct 2025
- 2025pi-Flow: Policy-Based Few-Step Generation via Imitation Distillation16 Oct 2025
- 2025Hierarchical Koopman Diffusion: Fast Generation with Interpretable Diffusion Trajectory14 Oct 2025
- 2025LinVideo: A Post-Training Framework towards O(n) Attention in Efficient Video Generation9 Oct 2025
- 2025Score Distillation of Flow Matching Models29 Sep 2025
- 2025Ultra-Fast Language Generation via Discrete Diffusion Divergence Instruct29 Sep 2025
- 2025Soft-Di[M]O: Improving One-Step Discrete Image Generation with Soft Embeddings26 Sep 2025
- 2025HERO: Hierarchical Extrapolation and Refresh for Efficient World Models25 Aug 2025
- 2025Modular MeanFlow: Towards Stable and Scalable One-Step Generative Modeling24 Aug 2025
- 2025Adversarial Distribution Matching for Diffusion Distillation Towards Efficient Image and Video Synthesis24 Jul 2025
- 2025Dive3D: Diverse Distillation-based Text-to-3D Generation via Score Implicit Matching16 Jun 2025
50 newest of 71 All 71 (JSON)
- 2025Self Forcing: Bridging the Train-Test Gap in Autoregressive Video Diffusioncited by 625
- 2024From Slow Bidirectional to Fast Autoregressive Video Diffusion Modelscited by 433
- 2025Inductive Moment Matchingcited by 113
- 2025SANA-Sprint: One-Step Diffusion with Continuous-Time Consistency Distillationcited by 87
- 2025One-step Diffusion Models with f-Divergence Distribution Matchingcited by 43
- 2025Adversarial Distribution Matching for Diffusion Distillation Towards Efficient Image and Video Synthesiscited by 41
- 2024Diff-Instruct++: Training One-step Text-to-image Generator Model to Align with Human Preferencescited by 31
- 2024Schedule On the Fly: Diffusion Time Prediction for Faster and Better Image Generationcited by 30
- 2026Transition Matching Distillation for Fast Video Generationcited by 30
- 2024Flow Generator Matchingcited by 26
- 2024Self-Guidance: Boosting Flow and Diffusion Generation on Their Owncited by 23
- 2025Dual-Expert Consistency Model for Efficient and High-Quality Video Generationcited by 21
12 most cited of 53 All 53 (JSON)
- 2026ViRDM: Taming Representation Distribution Matching for Few-Step Causal Video Generation24 Sep 2026
- 2026DUET: A Diversity-Quality Duet of Distillation Experts for Two-Step Video Generation10 Aug 2026
- 2026Parallel Decoding Distillation for Fast Image and Video Generation28 Jul 2026
- 2026DiFA: Inference-Time Forward-Process Alignment for Diffusion Models20 Jul 2026
- 2026ARIA: Adaptive Region-Based Importance Allocation for Conditional Diffusion Distillation22 Jun 2026
- 2026Data-Forcing Distillation: Restoring Diversity and Fidelity in Few-Step Video Generation16 Jun 2026
- 2026SGMD: Score Gradient Matching Distillation for Few-Step Video Diffusion Distillation28 May 2026
- 2026Midpoint Generative Models28 May 2026
- 2026RAVEN: Real-time Autoregressive Video Extrapolation with Consistency-model GRPO14 May 2026
- 2026Teacher-Feature Drifting: One-Step Diffusion Distillation with Pretrained Diffusion Representations8 May 2026
- 2026On the Memorization of Consistency Distillation for Diffusion Models26 Apr 2026
- 2026Efficient Diffusion Distillation via Embedding Loss24 Apr 2026
12 newest of 53 All 53 (JSON)
- 2026Representation Fr'echet Loss for Visual Generationcited by 37
- 2025pi-Flow: Policy-Based Few-Step Generation via Imitation Distillationcited by 29
- 2025Flow Map Distillation Without Datacited by 14
- 2025ORIGEN: Zero-Shot 3D Orientation Grounding in Text-to-Image Generationcited by 10
- 2025Modular MeanFlow: Towards Stable and Scalable One-Step Generative Modelingcited by 8
- 2026Reward-Forcing: Autoregressive Video Generation with Reward Feedbackcited by 6
- 2026Ultra Fast PDE Solving via Physics Guided Few-step Diffusioncited by 2
- 2026OSI: One-step Inversion Excels in Extracting Diffusion Watermarkscited by 2
- 2026DefaultShift: Auditing Semantic Default Shift in Accelerated Text-to-Image Modelscited by 2
- 2026Unbiased Diffusion Variational Inversion via Principled Posterior Matchingcited by 0
- 2026RL-Native Distillation: Exploiting Scored Trajectories for Few-Step Image Generationcited by 0
- 2026Uncertainty DMD: Restoring Diversity in Few-Step Autoregressive Video Distillationcited by 0
- 2026Uncertainty DMD: Restoring Diversity in Few-Step Autoregressive Video Distillation10 Sep 2026
- 2026DefaultShift: Auditing Semantic Default Shift in Accelerated Text-to-Image Models22 Aug 2026
- 2026RL-Native Distillation: Exploiting Scored Trajectories for Few-Step Image Generation10 Aug 2026
- 2026Unbiased Diffusion Variational Inversion via Principled Posterior Matching24 May 2026
- 2026Representation Fr'echet Loss for Visual Generation30 Apr 2026
- 2026OSI: One-step Inversion Excels in Extracting Diffusion Watermarks10 Feb 2026
- 2026Ultra Fast PDE Solving via Physics Guided Few-step Diffusion3 Feb 2026
- 2026Reward-Forcing: Autoregressive Video Generation with Reward Feedback23 Jan 2026
- 2025Flow Map Distillation Without Data24 Nov 2025
- 2025pi-Flow: Policy-Based Few-Step Generation via Imitation Distillation16 Oct 2025
- 2025Modular MeanFlow: Towards Stable and Scalable One-Step Generative Modeling24 Aug 2025
- 2025ORIGEN: Zero-Shot 3D Orientation Grounding in Text-to-Image Generation28 Mar 2025
Similar, not cited
Close in wording, no citation either way
- 2025DiffRatio: Training One-Step Diffusion Models Without Teacher Supervision
- 2026Consistent Distribution Matching for Data-Free Diffusion Distillation
- 2024Distribution Backtracking Builds A Faster Convergence Trajectory for Diffusion Distillation
- 2026Simulation-free and finite-time diffusion model
- 2022How Much is Enough? A Study on Diffusion Times in Score-based Generative Models
- 2024Diffusion Models Are Innate One-Step Generators
- 2024Evaluating the design space of diffusion-based generative models
- 2024Simple and Fast Distillation of Diffusion Models