Improved Mean Flows: On the Challenges of Fastforward Generative Models
Not on the map. Why?
Cited by 45 in Diffusion models, but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
MeanFlow (MF) has recently been established as a framework for one-step generative modeling. However, its ``fastforward'' nature introduces key challenges in both the training objective and the guidance mechanism. First, the original MF's training target depends not only on the underlying ground-truth fields but also on the network itself. To address this issue, we recast the objective as a loss on the instantaneous velocity v, re-parameterized by a network that predicts the average velocity u. Our reformulation yields a more standard regression problem and improves the training stability. Second, the original MF fixes the classifier-free guidance scale during training, which sacrifices flexibility. We tackle this issue by formulating guidance as explicit conditioning variables, thereby retaining flexibility at test time. The diverse conditions are processed through in-context conditioning, which reduces model size and benefits performance. Overall, our improved MeanFlow (iMF) method, trained entirely from scratch, achieves 1.72 FID with a single function evaluation (1-NFE) on ImageNet 256×256. iMF substantially outperforms prior methods of this kind and closes the gap with multi-step methods while using no distillation. We hope our work will further advance fastforward generative modeling as a stand-alone paradigm.
Key facts. Cited by 102 papers in the map (data through 7 Oct 2026). Builds on 55 of its 61 references that are in the map. First posted on arXiv 1 Dec 2025.
Builds on
55 of 61 references.
References · 55
- 2017Attention Is All You Needcited by 59,932
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2020Denoising Diffusion Probabilistic Modelscited by 20,851
- 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,694
- 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
- 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
- 2022Scalable Diffusion Models with Transformerscited by 5,931
- 2022Classifier-Free Diffusion Guidancecited by 5,717
- 2022Flow Matching for Generative Modelingcited by 5,426
- 2021RoFormer: Enhanced Transformer with Rotary Position Embeddingcited by 4,581
- 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,067
- 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flowcited by 3,550
38 more
- 2022Elucidating the Design Space of Diffusion-Based Generative Modelscited by 2,994
- 2016Improved Techniques for Training GANscited by 2,938
- 2018Large Scale GAN Training for High Fidelity Natural Image Synthesiscited by 2,609
- 2023Consistency Modelscited by 1,778
- 2020GLU Variants Improve Transformercited by 1,724
- 2017Accurate, Large Minibatch SGD: Training ImageNet in 1 Hourcited by 1,479
- 2019Root Mean Square Layer Normalizationcited by 1,425
- 2022MaskGIT: Masked Generative Image Transformercited by 1,082
- 2024Visual Autoregressive Modeling: Scalable Image Generation via Next-Scale Predictioncited by 1,005
- 2022Building Normalizing Flows with Stochastic Interpolantscited by 964
- 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 897
- 2024Autoregressive Model Beats Diffusion: Llama for Scalable Image Generationcited by 760
- 2022On Distillation of Guided Diffusion Modelscited by 721
- 2024SiT: Exploring Flow and Diffusion-based Generative Models with Scalable Interpolant Transformerscited by 707
- 2022Autoregressive Image Generation using Residual Quantizationcited by 706
- 2024Representation Alignment for Generation: Training Diffusion Transformers Is Easier Than You Thinkcited by 666
- 2024Autoregressive Image Generation without Vector Quantizationcited by 644
- 2025Mean Flows for One-step Generative Modelingcited by 524
- 2023Scaling up GANs for Text-to-Image Synthesiscited by 492
- 2022StyleGAN-XL: Scaling StyleGAN to Large Diverse Datasetscited by 489
- 2023Consistency Trajectory Models: Learning Probability Flow ODE Trajectory of Diffusioncited by 448
- 2023Improved Techniques for Training Consistency Modelscited by 430
- 2023Simple diffusion: End-to-end diffusion for high resolution imagescited by 413
- 2025Reconstruction vs. Generation: Taming Optimization Dilemma in Latent Diffusion Modelscited by 376
- 2024One Step Diffusion via Shortcut Modelscited by 373
- 2024Simplifying, Stabilizing and Scaling Continuous-Time Consistency Modelscited by 276
- 2025Diffusion Transformers with Representation Autoencoderscited by 275
- 2024Applying Guidance in a Limited Interval Improves Sample and Distribution Quality in Diffusion Modelscited by 240
- 2024Consistency Models Made Easycited by 140
- 2024Randomized Autoregressive Visual Generationcited by 125
- 2025Inductive Moment Matchingcited by 107
- 2025DDT: Decoupled Diffusion Transformercited by 100
- 2024Simpler Diffusion (SiD2): 1.5 FID on ImageNet512 with pixel-space diffusioncited by 74
- 2025Beyond Next-Token: Next-X Prediction for Autoregressive Visual Generationcited by 71
- 2024JetFormer: An Autoregressive Generative Model of Raw Images and Textcited by 44
- 2025AlphaFlow: Understanding and Improving MeanFlow Modelscited by 40
- 2025Transition Models: Rethinking the Generative Learning Objectivecited by 32
- 2025STARFlow: Scaling Latent Normalizing Flows for High-resolution Image Synthesiscited by 31
50 most cited of 55 All 55 (JSON)
Built on by
Citing papers per year: 2025: 1; 2026: 101.
102 papers.
Sort:
By area:
- 2026Generative Modeling via Driftingcited by 98
- 2026One-step Latent-free Image Generation with Pixel Mean Flowscited by 49
- 2026Categorical Flow Mapscited by 37
- 2026Meta Flow Maps enable scalable reward alignmentcited by 32
- 2026Representation Fr'echet Loss for Visual Generationcited by 32
- 2026ELF: Embedded Language Flowscited by 27
- 2026Discrete Flow Mapscited by 23
- 2026One-Step Generative Modeling via Wasserstein Gradient Flowscited by 18
- 2026PixelGen: Improving Pixel Diffusion with Perceptual Supervisioncited by 10
- 2026Representation Distribution Matching for One-Step Visual Generationcited by 10
- 2025Bidirectional Normalizing Flow: From Data to Noise and Backcited by 7
- 2026Parallel Decoding Distillation for Fast Image and Video Generationcited by 7
38 more
- 2026Kernel-Gradient Drifting Modelscited by 6
- 2026Learning Hamiltonian Flow Maps: Mean Flow Consistency for Large-Timestep Molecular Dynamicscited by 5
- 2026One-Step Flow Policy: Self-Distillation for Fast Visuomotor Policiescited by 5
- 2026How to Guide Your Flow: Few-Step Alignment via Flow Map Reward Guidancecited by 5
- 2026Drift-Based Policy Optimization: Native One-Step Policy Learning for Online Robot Controlcited by 4
- 2026Distribution Matching Distillation without Fake Score Networkcited by 4
- 2026Strong Stochastic Flow Mapscited by 4
- 2026MeanFlowNFT: Bringing Forward-Process RL to Average-Velocity Generatorscited by 4
- 2026GE-Act 2.0: Pretraining and Scaling a World-Action Model for Robotic Manipulationcited by 4
- 2026Bi-Anchor Interpolation Solver for Accelerating Generative Modelingcited by 3
- 2026Riemannian MeanFlow for One-Step Generation on Manifoldscited by 3
- 2026Curriculum Sampling: A Two-Phase Curriculum for Efficient Training of Flow Matchingcited by 3
- 2026MENO: MeanFlow-Enhanced Neural Operators for Dynamical Systemscited by 3
- 2026Tyche: One Step Flow for Efficient Probabilistic Weather Forecastingcited by 3
- 2026Aligning Few-Step Generative Models by Amortizing Sample-based Variational Inferencecited by 3
- 2026Mean Flow Distillation: Robust and Stable Distillation for Flow Matching Modelscited by 3
- 2026Flow-Map GRPO: Reinforcement Learning for Few-Step Flow-Map Generators via Anchored Stochastic Compositioncited by 3
- 2026Stabilizing Consistency Training: A Flow Map Analysis and Self-Distillationcited by 2
- 2026Trajectory Consistency for One-Step Generation on Euler Mean Flowscited by 2
- 2026Setting-Matched and Semantics-Scaled Benchmarking of One-Step Generative Models Against Multistep Diffusion and Flow Modelscited by 2
- 2026One-Shot Generative Flows: Existence and Obstructionscited by 2
- 2026Speech Enhancement Based on Drifting Modelscited by 2
- 2026CoFlow: Coordinated Few-Step Flow for Offline Multi-Agent Decision Makingcited by 2
- 2026Registers Matter for Pixel-Space Diffusion Transformerscited by 2
- 2026ReactVLA: Fast and Lightweight Reactive Robot Manipulation via Improved Mean Flow Action Generationcited by 2
- 2026Distilling Drifting Transformers with Representation Autoencoderscited by 2
- 2026CrossFlow: One-Step Generation Across Latent and Pixel Spacescited by 2
- 2026Trajectory Forcing: Structure-First Generation with Controllable Semantic Trajectoriescited by 2
- 2026NullFlow: One-Step Generative Reconstructioncited by 2
- 2026DiffusionBench: On Holistic Evaluation of Diffusion Transformerscited by 2
- 2026Amortized Moment Matching for Visual Generationcited by 2
- 2026Accelerating Diffusion Sampling via Speculative Draft Treescited by 2
- 2026WFR-MFM: One-Step Inference for Dynamic Unbalanced Optimal Transportcited by 1
- 2026Accelerated Sequential Flow Matching: A Bayesian Filtering Perspectivecited by 1
- 2026Boltzmann Generators for Condensed Matter via Riemannian Flow Matchingcited by 1
- 2026Preconditioned One-Step Generative Modeling for Bayesian Inverse Problems in Function Spacescited by 1
- 2026Transition Flow Matchingcited by 1
- 2026On Variance Reduction in Learning Mean Flowscited by 1
50 most cited of 102 All 102 (JSON)
- 2026Sphere Encoder 21 Oct 2026
- 2026Posterior sampling by source-space MCMC via prior-based few-step transport maps1 Oct 2026
- 2026Kinematic MeanFlow: One-Step Action Generation Policy for Robotic Foundation Models1 Oct 2026
- 2026Rank-Aware Speculative Sampling for Diffusion Draft Trees30 Sep 2026
- 2026One-Step Generative Modeling via Training Dynamics Action30 Sep 2026
- 2026SkillFM: Generating Skills for LLM Agents via Latent Flow Matching30 Sep 2026
- 2026DriftOPD: Sequence-Level Reverse-KL Distillation for One-Step VLA Policies29 Sep 2026
- 2026Acceleration of Diffusion Language Model through Discrete Average Generator29 Sep 2026
- 2026Improved Distributional Diffusion Models29 Sep 2026
- 2026Unifying Distributional Training for One-Step Visual Generation28 Sep 2026
- 2026QAMM: Adjoint MeanFlow Matching for Few-Step Offline Reinforcement Learning28 Sep 2026
- 2026JIVE: Jacobian-Informed Volume Expansion for Diverse Generative Sampling27 Sep 2026
38 more
- 2026AnyStep-WAM: Budget-Aligned Distillation and Adaptive Inference for World Action Models27 Sep 2026
- 2026SocialHumanoid: Towards Expressive Humanoid Behavior via One-Step Co-Speech Motion Generation27 Sep 2026
- 2026RepFlow: Reciprocal Supervision Improves Generation and Representation in Flow Models27 Sep 2026
- 2026One-Step Generative Modeling via Unbalanced Optimal Transport26 Sep 2026
- 2026Beyond the Manifold Hypothesis: Hybrid Spectral Parameterizations for Flow Matching26 Sep 2026
- 2026An End-to-End Latent-Rollout Approach for Pushing Few-Step ImageNet-256 Generation to FID 1.11 without Fr'echet Losses26 Sep 2026
- 2026Aligning One-Step Generative Models with Reward-Weighted Transport Distillation25 Sep 2026
- 2026A Latent Distribution Perspective on Evaluating and Improving Latent Generative Models21 Sep 2026
- 2026Accelerating Diffusion Sampling via Speculative Draft Trees15 Sep 2026
- 2026How I learned to stop worrying and love StopGrads: Stationarity, Convergence, and a case study on Flow Map Learning14 Sep 2026
- 2026GE-Act 2.0: Pretraining and Scaling a World-Action Model for Robotic Manipulation4 Sep 2026
- 2026LensStyle: Learning the Optical Aesthetics for Controllable Stylized Lens Effect Rendering4 Sep 2026
- 2026FlashRender: Few-Step Generative Rendering via Camera-Controlled Video MeanFlow3 Sep 2026
- 2026Decoupled Latent Flow Matching for Few-Step Joint Vocal-Accompaniment Separation31 Aug 2026
- 2026Efficient JPEG Restoration in the Wavelet Domain via Mean Flows28 Aug 2026
- 2026Optimize Your Sampling: Tuned Diffusion Sampling with Bayesian Optimization18 Aug 2026
- 2026Rethinking Pixel Mean Flows via Interval Denoiser5 Aug 2026
- 2026Amortized Moment Matching for Visual Generation29 Jul 2026
- 2026Parallel Decoding Distillation for Fast Image and Video Generation28 Jul 2026
- 2026ROMS-IMLE: A Minimalist Approach to Competitive Single-Step Generative Modelling21 Jul 2026
- 2026MeanFlowNFT: Bringing Forward-Process RL to Average-Velocity Generators16 Jul 2026
- 2026High-Fidelity One-Step Generative Visuomotor Policy via Recursive Correction, Frequency Consistency, and Contrastive Flow Matching4 Jul 2026
- 2026Representation Distribution Matching for One-Step Visual Generation2 Jul 2026
- 2026Flow-Map GRPO: Reinforcement Learning for Few-Step Flow-Map Generators via Anchored Stochastic Composition1 Jul 2026
- 2026Diffusion Fine-tuning with Rewarded Moment Matching Distillation29 Jun 2026
- 2026DiffusionBench: On Holistic Evaluation of Diffusion Transformers23 Jun 2026
- 2026NullFlow: One-Step Generative Reconstruction21 Jun 2026
- 2026Trajectory Forcing: Structure-First Generation with Controllable Semantic Trajectories21 Jun 2026
- 2026CrossFlow: One-Step Generation Across Latent and Pixel Spaces18 Jun 2026
- 2026Distilling Drifting Transformers with Representation Autoencoders14 Jun 2026
- 2026ReactVLA: Fast and Lightweight Reactive Robot Manipulation via Improved Mean Flow Action Generation12 Jun 2026
- 2026Mean Flow Distillation: Robust and Stable Distillation for Flow Matching Models9 Jun 2026
- 2026Few-step Cofolding with All-Atom Flow Maps7 Jun 2026
- 2026Multimarginal flow matching with optimal transport potentials3 Jun 2026
- 2026CaloTrilogy: Toward a Breakthrough in One-Step, End-to-End, Physics-Guided Shower Generation for Modern Calorimeters2 Jun 2026
- 2026Strong Stochastic Flow Maps31 May 2026
- 2026Aligning Few-Step Generative Models by Amortizing Sample-based Variational Inference26 May 2026
- 2026Cross-scale Aligned Supervision for Training GANs26 May 2026
50 newest of 102 All 102 (JSON)
- 2026Categorical Flow Mapscited by 37
- 2026ELF: Embedded Language Flowscited by 27
- 2026One-Step Generative Modeling via Wasserstein Gradient Flowscited by 18
- 2026PixelGen: Improving Pixel Diffusion with Perceptual Supervisioncited by 10
- 2026Parallel Decoding Distillation for Fast Image and Video Generationcited by 7
- 2026One-Step Flow Policy: Self-Distillation for Fast Visuomotor Policiescited by 5
- 2026Drift-Based Policy Optimization: Native One-Step Policy Learning for Online Robot Controlcited by 4
- 2026Strong Stochastic Flow Mapscited by 4
- 2026Bi-Anchor Interpolation Solver for Accelerating Generative Modelingcited by 3
- 2026Riemannian MeanFlow for One-Step Generation on Manifoldscited by 3
- 2026Curriculum Sampling: A Two-Phase Curriculum for Efficient Training of Flow Matchingcited by 3
- 2026MENO: MeanFlow-Enhanced Neural Operators for Dynamical Systemscited by 3
12 most cited of 44 All 44 (JSON)
- 2026Kinematic MeanFlow: One-Step Action Generation Policy for Robotic Foundation Models1 Oct 2026
- 2026Rank-Aware Speculative Sampling for Diffusion Draft Trees30 Sep 2026
- 2026Acceleration of Diffusion Language Model through Discrete Average Generator29 Sep 2026
- 2026Improved Distributional Diffusion Models29 Sep 2026
- 2026QAMM: Adjoint MeanFlow Matching for Few-Step Offline Reinforcement Learning28 Sep 2026
- 2026Beyond the Manifold Hypothesis: Hybrid Spectral Parameterizations for Flow Matching26 Sep 2026
- 2026Accelerating Diffusion Sampling via Speculative Draft Trees15 Sep 2026
- 2026Decoupled Latent Flow Matching for Few-Step Joint Vocal-Accompaniment Separation31 Aug 2026
- 2026Optimize Your Sampling: Tuned Diffusion Sampling with Bayesian Optimization18 Aug 2026
- 2026Parallel Decoding Distillation for Fast Image and Video Generation28 Jul 2026
- 2026ROMS-IMLE: A Minimalist Approach to Competitive Single-Step Generative Modelling21 Jul 2026
- 2026High-Fidelity One-Step Generative Visuomotor Policy via Recursive Correction, Frequency Consistency, and Contrastive Flow Matching4 Jul 2026
12 newest of 44 All 44 (JSON)
- 2026Generative Modeling via Driftingcited by 98
- 2026One-step Latent-free Image Generation with Pixel Mean Flowscited by 49
- 2026Meta Flow Maps enable scalable reward alignmentcited by 32
- 2026Representation Fr'echet Loss for Visual Generationcited by 32
- 2026Discrete Flow Mapscited by 23
- 2026Representation Distribution Matching for One-Step Visual Generationcited by 10
- 2025Bidirectional Normalizing Flow: From Data to Noise and Backcited by 7
- 2026Kernel-Gradient Drifting Modelscited by 6
- 2026Learning Hamiltonian Flow Maps: Mean Flow Consistency for Large-Timestep Molecular Dynamicscited by 5
- 2026Distribution Matching Distillation without Fake Score Networkcited by 4
- 2026MeanFlowNFT: Bringing Forward-Process RL to Average-Velocity Generatorscited by 4
- 2026Tyche: One Step Flow for Efficient Probabilistic Weather Forecastingcited by 3
12 most cited of 49 All 49 (JSON)
- 2026Sphere Encoder 21 Oct 2026
- 2026Posterior sampling by source-space MCMC via prior-based few-step transport maps1 Oct 2026
- 2026One-Step Generative Modeling via Training Dynamics Action30 Sep 2026
- 2026Unifying Distributional Training for One-Step Visual Generation28 Sep 2026
- 2026JIVE: Jacobian-Informed Volume Expansion for Diverse Generative Sampling27 Sep 2026
- 2026SocialHumanoid: Towards Expressive Humanoid Behavior via One-Step Co-Speech Motion Generation27 Sep 2026
- 2026RepFlow: Reciprocal Supervision Improves Generation and Representation in Flow Models27 Sep 2026
- 2026One-Step Generative Modeling via Unbalanced Optimal Transport26 Sep 2026
- 2026An End-to-End Latent-Rollout Approach for Pushing Few-Step ImageNet-256 Generation to FID 1.11 without Fr'echet Losses26 Sep 2026
- 2026A Latent Distribution Perspective on Evaluating and Improving Latent Generative Models21 Sep 2026
- 2026How I learned to stop worrying and love StopGrads: Stationarity, Convergence, and a case study on Flow Map Learning14 Sep 2026
- 2026LensStyle: Learning the Optical Aesthetics for Controllable Stylized Lens Effect Rendering4 Sep 2026
12 newest of 49 All 49 (JSON)