Beyond Random Couplings: Contrastive Noise Alignment in Generative Flows
On the map: Diffusion models → Flow matching, time series and science
Abstract (arXiv)
Diffusion and flow-matching models are typically trained by corrupting data through independently sampled Gaussian noise. While simple and scalable, this forward process induces arbitrary data-noise couplings, forcing the network to learn high-curvature transports between unrelated endpoints. Existing optimal-transport methods reduce this burden by reassigning fixed noise samples to data, but the source noise distribution itself remains passive. To address this, we introduce Contrastive Noise Alignment (CNA), a training-time method that creates dynamic, contrastive couplings by optimizing the noise representations directly. By modeling the noise batch as an interacting particle system, CNA employs a cross-modal InfoNCE objective to align noise particles with their paired data targets. To prevent spatial collapse, this alignment is regularized using an angular entropy term and a radial norm penalty. We show theoretically that this equilibrium asymptotically preserves Gaussian structures, maintaining tractability during inference. Empirically, CNA improves the alignment between noise and data, reduces flow curvature, and provides better generation quality with fewer required sampling steps. For few-step, pixel-space generation (2-4 NFEs), CNA reduces FID by over 50% compared to standard rectified flow, and by at least 24% against Optimal Transport baselines.
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 31 of its 41 references that are in the map. First posted on arXiv 16 Sep 2026.
Builds on
31 of 41 references.
Closest ancestors · 9
Same direction, newest first
- 2026MixFlow: Mixed Source Distributions Improve Rectified Flows10 Apr
- 2026Faster Inference of Flow-Based Generative Models via Improved Data-Noise Coupling16 Mar
- 2026The Coupling Within: Flow Matching via Distilled Normalizing Flows9 Mar
- 2026Better Source, Better Flow: Learning Condition-Dependent Source Distribution for Flow Matching5 Feb
- 2025Contrastive Flow Matching5 Jun
- 2023Multisample Flow Matching: Straightening Flows with Minibatch Couplings28 Apr
- 2023Improving and generalizing flow-based generative models with minibatch optimal transport1 Feb
- 2022Flow Matching for Generative Modeling6 Oct
- 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow7 Sep
Other references · 22
- 2020Denoising Diffusion Probabilistic Modelscited by 20,851
- 2020A Simple Framework for Contrastive Learning of Visual Representationscited by 11,979
- 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
- 2023DINOv2: Learning Robust Visual Features without Supervisioncited by 7,764
- 2018Representation Learning with Contrastive Predictive Codingcited by 7,662
- 2023Consistency Modelscited by 1,778
- 2020Understanding Contrastive Representation Learning through Alignment and Uniformity on the Hyperspherecited by 1,393
- 2022Building Normalizing Flows with Stochastic Interpolantscited by 964
- 2016Weight Normalization: A Simple Reparameterization to Accelerate Training of Deep Neural Networkscited by 541
- 2025Mean Flows for One-step Generative Modelingcited by 524
- 2024One Step Diffusion via Shortcut Modelscited by 373
- 2017NormFace: L2 Hypersphere Embedding for Face Verificationcited by 237
10 more
- 2021SelfReg: Self-supervised Contrastive Regularization for Domain Generalizationcited by 189
- 2024One-Step Image Translation with Text-to-Image Modelscited by 111
- 2023Minimizing Trajectory Curvature of ODE-based Generative Modelscited by 87
- 2025Learning Few-Step Diffusion Models by Trajectory Distribution Matchingcited by 49
- 2016Iterative Gaussianization: from ICA to Random Rotationscited by 26
- 2025Aligning Text to Image in Diffusion Models is Easier Than You Thinkcited by 21
- 2026InfoNCE Induces Gaussian Distributioncited by 14
- 2025Diverse Text-to-Image Generation via Contrastive Noise Optimizationcited by 10
- 2025AlignFlow: Improving Flow-based Generative Models with Semi-Discrete Optimal Transportcited by 6
- 2026Few-Step Diffusion Sampling Through Instance-Aware Discretizationscited by 3
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- 2026Beyond Straightness: Non-Crossing Flow Matching via Quantile AlignTree Coupling
- 2026Manifold-Constrained Initial Noise Optimization for Efficient Generative Model Alignment
- 2025Scale-Adaptive Generative Flows for Multiscale Scientific Data
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