Rectified Flow

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Rectified flow learns a time-dependent velocity field that transports simple noise distributions into data, often along straighter paths than diffusion models. Researchers improve these transports through coupling and source-distribution design, consistency training and distillation, and guidance or geometric constraints for tasks such as image editing, restoration, forecasting, and robot control. The approach is being applied across images, audio, medical data, and embodied policies, with work also studying sample complexity, optimal transport, and privacy. A central tension is how to reduce inference to very few steps while preserving fidelity, diversity, and reliable behavior under changing conditions.

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60 papers6 papers in the last four weeks, level with the four weeks before. 0.0% of all new papers.

Root-Selecting Fixed-Point Inversion for Rectified Flows via Trajectory Straightness
Jun 16, 2026Semin Kim, Jihwan Yoon, Seunghoon HongDiffusion Model Inversion Rectified Flow
KAIST
Where Rectified Flows Leak: Characterising Membership Signals Along the Interpolation Path
Jun 5, 2026Thomas Sesmat, Gabriel Meseguer-Brocal, Geoffroy PeetersData Leakage Rectified Flow
LTCI, Télécom Paris, Institut Polytechnique de Paris, Palaiseau, France · Deezer Research, Paris, France
SB-RF: Schrödinger Bridge Rectified Flow for One-Step Robust Speech Enhancement
Jun 4, 2026Caixia Lu, Xueyang Lv, Penglong Hu +1Rectified Flow Schrödinger Bridges
Probabilistic Precipitation Nowcasting with Rectified Flow Transformers
May 29, 2026Johannes Schusterbauer, Jannik Wiese, Nick Stracke +2Precipitation Forecasting Rectified Flow
Geometric Erasure by Contrastive Velocity Matching in Rectified Flows
May 29, 2026Jonas Henry Grebe, Tobias Braun, Anna Rohrbach +1Contrastive Flow Matching Rectified Flow
Technical University of Darmstadt & hessian.AI, Germany.
AdvantageFlow: Regularized Advantage-Weighted RL in Flow Models
May 25, 2026Branislav Kveton, Anup Rao, Subhojyoti Mukherjee +2Rectified Flow RL for Image Generation
Adobe Research
VDE: Training-Free Accelerating Rectified Flow Model via Velocity Decomposition and Estimation
May 22, 2026Junwen Tan, Jinglin Liang, Hongyuan Chen +1Rectified Flow Image Generation
South China University of Technology
Divergence-Suppressing Couplings for Rectified Flow
May 18, 2026Yimeng Min, Carla P. GomesRectified Flow Image Generation
Department of Computer Science Cornell University Ithaca, NY 14850
Accelerating Rectified Flow Models via Trajectory-Aware Caching
May 16, 2026Xiao Liu, Kai Liu, Naiyang Guan +5Video Diffusion Models Rectified Flow
Shanghai Jiao Tong University, Shanghai, China · Academy of Military Science, Beijing, China · Huawei Technologies Ltd, Shenzhen, China
PVRF: All-in-one Adverse Weather Removal via Prior-modulated and Velocity-constrained Rectified Flow
May 13, 2026Wei Dong, Han Zhou, Terry Ji +6Rectified Flow All-in-One Image Restoration
McMaster University · Shanghai Jiao Tong University
Coreset-Induced Conditional Velocity Flow Matching
May 13, 2026Xiao Wang, Zihua She, Jianxi SuConditional Flow Matching Rectified Flow
Department of Statistics, Purdue University
Fast Image Super-Resolution via Consistency Rectified Flow
May 12, 2026Jiaqi Xu, Wenbo Li, Haoze Sun +8Rectified Flow Consistency Distillation
The Chinese University of Hong Kong · Huawei Noah’s Ark Lab · HKUST (GZ) +1
Offline Preference Optimization for Rectified Flow with Noise-Tracked Pairs
May 10, 2026Yunhong Lu, Qichao Wang, Hengyuan Cao +2T2I Generation Rectified Flow
Zhejiang University · Shanghai Institute for Advanced Study-Zhejiang University · Shanghai Institute for Mathematics and Interdisciplinary Sciences
PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics
May 5, 2026Hao Zhou, Rui Zhang, Han Wan +1Physics-Informed Generative Modeling Uncertainty Quantification
Gaoling School of Artificial Intelligence, Renmin University of China
IR-Flow: Bridging Discriminative and Generative Image Restoration via Rectified Flow
Apr 21, 2026Zihao Fan, Xin Lu, Jie Xiao +3Rectified Flow All-in-One Image Restoration
MoE Key Laboratory of Brain-inspired Intelligent Perception and Cognition, School of Information Science and Technology, University of Science and Technology of China
Precision Synthesis of Multi-Tracer PET via VLM-Modulated Rectified Flow for Stratifying Mild Cognitive Impairment
Apr 13, 2026Tuo Liu, Shuijin Lin, Shaozhen Yan +4Medical Image Synthesis Rectified Flow
School of Mathematics and Statistics, Xi’an Jiaotong University, No. 28, Xianning West Road, Xi’an, 710049, Shaanxi, China · Research Center for Intelligent Medical Equipment and Devices (IMED), Xi’an Jiaotong University, No. 28, Xianning West Road, Xi’an, 710049, Shaanxi, China · Key Laboratory of Biomedical Information Engineering of Ministry of Education, School of Life Science and Technology, Xi’an Jiaotong University, No. 28, Xianning West Road, Xi’an, 710049, Shaanxi, China +1
MixFlow: Mixed Source Distributions Improve Rectified Flows
Apr 10, 2026Nazir Nayal, Christopher Wewer, Jan Eric LenssenRectified Flow Image Generation
Max Planck Institute for Informatics, Saarland Informatics Campus, Germany
Truncated Rectified Flow Policy for Reinforcement Learning with One-Step Sampling
Apr 10, 2026Xubin Zhou, Yipeng Yang, Zhan LiMaximum Entropy RL Continuous Control
Harbin Institute of Technology
SteerFlow: Steering Rectified Flows for Faithful Inversion-Based Image Editing
Apr 2, 2026Thinh Dao, Zhen Wang, Kien T. Pham +1Text-Guided Image Editing Flow-Based Generative Modeling
The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong · VinUniversity, Ha Noi, Viet Nam
ORSIFlow: Saliency-Guided Rectified Flow for Optical Remote Sensing Salient Object Detection
Mar 30, 2026Haojing Chen, Zhihang Liu, Yutong Li +3Salient Object Detection Rectified Flow
University of Electronic Science and Technology of China, Chengdu, China · Hainan University, Haikou, China · China University of Mining & Technology (Beijing), Beijing, China
From Diffusion to Flow: Efficient Motion Generation in MotionGPT3
Mar 23, 2026Jaymin Bhan, JiHong Jeon, SangYeop JeongText-to-Motion Generation Motion Diffusion Models
Department of Applied Artificial Intelligence Seoul National University of Science and Technology
Improving Image-to-Image Translation via a Rectified Flow Reformulation
Mar 20, 2026Satoshi Iizuka, Shun Okamoto, Kazuhiro FukuiImage-to-Image Translation Rectified Flow
University of Tsukuba
FLUX: Accelerating Cross-Embodiment Generative Navigation Policies via Rectified Flow and Static-to-Dynamic Learning
Mar 13, 2026Zeying Gong, Yangyi Zhong, Yiyi Ding +6Robot Navigation Benchmarks Robot Policy Learning
The Hong Kong University of Science and Technology (Guangzhou) · The Hong Kong University of Science and Technology · National University of Singapore
Generalization and Memorization in Rectified Flow
Mar 12, 2026Mingxing Rao, Daniel MoyerRectified Flow Membership Inference Attacks
Vanderbilt University, Nashville TN 37235, USA
Score-Guided Proximal Projection: A Unified Geometric Framework for Rectified Flow Editing
Mar 5, 2026Vansh Bansal, James G ScottProximal Optimization Rectified Flow
Department of Statistics and Data Sciences, UT Austin
RAFM: Retrieval-Augmented Flow Matching for Unpaired CBCT-to-CT Translation
Feb 28, 2026Xianhao Zhou, Jianghao Wu, Lanfeng Zhong +4Medical Image Synthesis Image-to-Image Translation
School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu, China · Faculty of Information Technology, Monash University, Melbourne, VIC 3800, Australia · Shanghai Artificial Intelligence Laboratory, Shanghai, China
CaReFlow: Cyclic Adaptive Rectified Flow for Multimodal Fusion
Feb 22, 2026Sijie Mai, Shiqin HanMultimodal Fusion Cross-Modal Alignment
South China Normal University
Order-Optimal Sample Complexity of Rectified Flows
Jan 28, 2026Hari Krishna Sahoo, Mudit Gaur, Vaneet AggarwalRectified Flow Flow-Based Generative Modeling
Purdue University
SeFA-Policy: Fast and Accurate Visuomotor Policy Learning with Selective Flow Alignment
Nov 11, 2025Rong Xue, Jiageng Mao, Mingtong Zhang +1Rectified Flow Visuomotor Policy Learning
University of Southern California
RestoRect: Degraded Image Restoration via Latent Rectified Flow & Feature Distillation
Sep 27, 2025Shourya Verma, Mengbo Wang, Nadia Atallah Lanman +1Image Restoration Feature-Based Knowledge Distillation
Department of Computer Science, Purdue University, USA · Purdue Institute of Cancer Research, USA

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Root-Selecting Fixed-Point Inversion for Rectified Flows via Trajectory Straightness

Semin Kim, Jihwan Yoon, Seunghoon Hong

KAIST

Diffusion Model Inversion Rectified Flow Diffusion-Based Image Editing

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Finding the initial noise that generates a given data sample, known as inversion, is a key component for downstream applications such as training-free image editing. Existing fixed-point inversion methods improve inversion accuracy by formulating each inversion step as a fixed-point problem, but they lack a principled mechanism for selecting among multiple fixed-point solutions that can arise in practice. We observe that different selections induce different inversion trajectories, leading to substantial variation in reconstruction and editing quality. For rectified flows, we further find that this variation is closely associated with trajectory straightness, motivating straightness as a principled selection criterion. We propose SelFix, a fixed-point inversion method that selects fixed-point solutions inducing straighter inverse trajectories while retaining convergence to an exact inverse root under standard local assumptions. Experiments on FLUX.1-dev and PIE-Bench show that SelFix improves fixed-point inversion, achieving stronger real-image reconstruction and better source-preserving prompt-based editing than prior inversion baselines. The code is available at https://github.com/seminkim/selfix.