mlsanityData to 14 Oct 2026

CAR-Flow: Condition-Aware Reparameterization Aligns Source and Target for Better Flow Matching

arXiv 2509.19300 ↗First posted 23 Sep 2025cs.CVcited by 7

On the map: Diffusion models → Flow matching, time series and science

Abstract (arXiv)

Conditional generative modeling aims to learn a conditional data distribution from samples containing data-condition pairs. For this, diffusion and flow-based methods have attained compelling results. These methods use a learned (flow) model to transport an initial standard Gaussian noise that ignores the condition to the conditional data distribution. The model is hence required to learn both mass transport and conditional injection. To ease the demand on the model, we propose Condition-Aware Reparameterization for Flow Matching (CAR-Flow) -- a lightweight, learned shift that conditions the source, the target, or both distributions. By relocating these distributions, CAR-Flow shortens the probability path the model must learn, leading to faster training in practice. On low-dimensional synthetic data, we visualize and quantify the effects of CAR-Flow. On higher-dimensional natural image data (ImageNet-256), equipping SiT-XL/2 with CAR-Flow reduces FID from 2.07 to 1.68, while introducing less than 0.6% additional parameters.

Key facts. Cited by 7 papers in the map (data through 14 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 20 of its 26 references that are in the map. First posted on arXiv 23 Sep 2025.

Builds on

20 of 26 references.

Closest ancestors · 3

Same direction, newest first

  1. 2023Improving and generalizing flow-based generative models with minibatch optimal transport1 Feb
  2. 2022Flow Matching for Generative Modeling6 Oct
  3. 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow7 Sep

Other references · 17

  1. 2021Learning Transferable Visual Models From Natural Language Supervisioncited by 33,744
  2. 2020Denoising Diffusion Probabilistic Modelscited by 21,076
  3. 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,863
  4. 2020Denoising Diffusion Implicit Modelscited by 9,781
  5. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,122
  6. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,255
  7. 2022Scalable Diffusion Models with Transformerscited by 6,054
  8. 2024Scaling Rectified Flow Transformers for High-Resolution Image Synthesiscited by 4,181
  9. 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,101
  10. 2021Improved Denoising Diffusion Probabilistic Modelscited by 3,761
  11. 2015Variational Inference with Normalizing Flowscited by 2,170
  12. 2022Building Normalizing Flows with Stochastic Interpolantscited by 995
5 more
  1. 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 939
  2. 2024SiT: Exploring Flow and Diffusion-based Generative Models with Scalable Interpolant Transformerscited by 737
  3. 2024Representation Alignment for Generation: Training Diffusion Transformers Is Easier Than You Thinkcited by 703
  4. 2025Reconstruction vs. Generation: Taming Optimization Dilemma in Latent Diffusion Modelscited by 393
  5. 2025REPA-E: Unlocking VAE for End-to-End Tuning with Latent Diffusion Transformerscited by 225

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 7.

7 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026Noise-Robust Conditional Flow Matching: Generating Clean Samples from Noisy Datasets
  2. 2025Contrastive Flow Matching
  3. 2026Difficulty-Calibrated Interpolation Paths for Conditional Flow Matching
  4. 2026Drift Variation Autoencoder: Unifying Generation and Representation Learning through Conditional Posterior Flow Matching
  5. 2025Flow Matching in the Low-Noise Regime: Pathologies and a Contrastive Remedy
  6. 2026TFTF: Training-Free Targeted Flow for Conditional Sampling
  7. 2024Reflected Flow Matching
  8. 2023Multisample Flow Matching: Straightening Flows with Minibatch Couplings