Neural Flow Diffusion Models: Learnable Forward Process for Improved Diffusion Modelling
On the map: Diffusion models → Diffusion foundations and sampling
Abstract (arXiv)
Conventional diffusion models typically relies on a fixed forward process, which implicitly defines complex marginal distributions over latent variables. This can often complicate the reverse process' task in learning generative trajectories, and results in costly inference for diffusion models. To address these limitations, we introduce Neural Flow Diffusion Models (NFDM), a novel framework that enhances diffusion models by supporting a broader range of forward processes beyond the standard Gaussian. We also propose a novel parameterization technique for learning the forward process. Our framework provides an end-to-end, simulation-free optimization objective, effectively minimizing a variational upper bound on the negative log-likelihood. Experimental results demonstrate NFDM's strong performance, evidenced by state-of-the-art likelihood estimation. Furthermore, we investigate NFDM's capacity for learning generative dynamics with specific characteristics, such as deterministic straight lines trajectories, and demonstrate how the framework may be adopted for learning bridges between two distributions. The results underscores NFDM's versatility and its potential for a wide range of applications.
Key facts. Cited by 43 papers in the map (data through 7 Oct 2026). Placed in Diffusion foundations and sampling, one of 14 directions in Diffusion models. Builds on 65 of its 84 references that are in the map. First posted on arXiv 19 Apr 2024.
Builds on
65 of 84 references.
Closest ancestors · 35
Same direction, newest first
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Other references · 30
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- 2018Neural Ordinary Differential Equationscited by 3,733
- 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flowcited by 3,550
- 2016Density estimation using Real NVPcited by 2,029
- 2018Glow: Generative Flow with Invertible 1x1 Convolutionscited by 1,539
- 2019Normalizing Flows for Probabilistic Modeling and Inferencecited by 1,315
- 2019StarGAN v2: Diverse Image Synthesis for Multiple Domainscited by 1,095
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- 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 897
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- 2023Bespoke Solvers for Generative Flow Modelscited by 36
- 2021ANFIC: Image Compression Using Augmented Normalizing Flowscited by 20
- 2020Anomaly Detection in Trajectory Data with Normalizing Flowscited by 11
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Citing papers per year: 2024: 6; 2025: 22; 2026: 15.
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