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Diffusion models have exhibited excellent performance in various domains. The probability flow ordinary differential equation (ODE) of diffusion models (i.e., diffusion ODEs) is a particular case of continuous normalizing flows (CNFs),…

Machine Learning · Computer Science 2024-04-09 Kaiwen Zheng , Cheng Lu , Jianfei Chen , Jun Zhu

Log-likelihood evaluation enables important capabilities in generative models, including model comparison, certain fine-tuning objectives, and many downstream applications. Yet paradoxically, some of today's best generative models --…

Machine Learning · Computer Science 2026-04-21 Xinyue Ai , Yutong He , Albert Gu , Ruslan Salakhutdinov , J Zico Kolter , Nicholas Matthew Boffi , Max Simchowitz

Diffusion models, which convert noise into new data instances by learning to reverse a diffusion process, have become a cornerstone in contemporary generative modeling. In this work, we develop non-asymptotic convergence theory for a…

Machine Learning · Computer Science 2024-08-06 Gen Li , Yuting Wei , Yuejie Chi , Yuxin Chen

Drawing from the theory of stochastic differential equations, we introduce a novel sampling method for known distributions and a new algorithm for diffusion generative models with unknown distributions. Our approach is inspired by the…

Statistics Theory · Mathematics 2024-07-12 Xicheng Zhang

Diffusion and flow matching models generate high-fidelity data by simulating paths defined by Ordinary or Stochastic Differential Equations (ODEs/SDEs), starting from a tractable prior distribution. The probability flow ODE formulation…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Liangyu Yuan , Ruoyu Wang , Tong Zhao , Dingwen Fu , Mingkun Lei , Beier Zhu , Chi Zhang

Diffusion distillation provides an effective approach for learning lightweight and few-steps diffusion models with efficient generation. However, evaluating their generalization remains challenging: theoretical metrics are often impractical…

Machine Learning · Computer Science 2026-02-13 Huijie Zhang , Zijian Huang , Siyi Chen , Jinfan Zhou , Zekai Zhang , Peng Wang , Qing Qu

Diffusion models (DMs) have become the dominant paradigm of generative modeling in a variety of domains by learning stochastic processes from noise to data. Recently, diffusion denoising bridge models (DDBMs), a new formulation of…

Machine Learning · Computer Science 2024-11-01 Guande He , Kaiwen Zheng , Jianfei Chen , Fan Bao , Jun Zhu

Diffusion models achieve strong generation quality, diversity, and distribution coverage, but their performance often comes with expensive inference. In this work, we propose Stochastic Transition-Map Distillation (STMD), a teacher-free…

Machine Learning · Computer Science 2026-05-11 George Rapakoulias , Peter Garud , Lingjiong Zhu , Panagiotis Tsiotras

We propose a novel denoising diffusion generative model for predicting nonlinear fluid fields named FluidDiff. By performing a diffusion process, the model is able to learn a complex representation of the high-dimensional dynamic system,…

Machine Learning · Computer Science 2023-01-31 Gefan Yang , Stefan Sommer

A generative model based on a continuous-time normalizing flow between any pair of base and target probability densities is proposed. The velocity field of this flow is inferred from the probability current of a time-dependent density that…

Machine Learning · Computer Science 2023-03-10 Michael S. Albergo , Eric Vanden-Eijnden

Out-of-distribution (OOD) detection is critical for ensuring the reliability of deep learning systems, particularly in safety-critical applications. Likelihood-based deep generative models have historically faced criticism for their…

Machine Learning · Computer Science 2025-07-11 Yifan Ding , Arturas Aleksandraus , Amirhossein Ahmadian , Jonas Unger , Fredrik Lindsten , Gabriel Eilertsen

In this work, we aimed to replicate and extend the results presented in the DiffFluid paper[1]. The DiffFluid model showed that diffusion models combined with Transformers are capable of predicting fluid dynamics. It uses a denoising…

Fluid Dynamics · Physics 2025-07-14 Yannick Gachnang , Vismay Churiwala

Diffusion models with transformer architectures have demonstrated promising capabilities in generating high-fidelity images and scalability for high resolution. However, iterative sampling process required for synthesis is very…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Yeongmin Kim , Sotiris Anagnostidis , Yuming Du , Edgar Schönfeld , Jonas Kohler , Markos Georgopoulos , Albert Pumarola , Ali Thabet , Artsiom Sanakoyeu

Beyond their impressive sampling capabilities, score-based diffusion models offer a powerful analysis tool in the form of unbiased density estimation of a query sample under the training data distribution. In this work, we investigate the…

Machine Learning · Computer Science 2023-10-12 Marius Arvinte , Cory Cornelius , Jason Martin , Nageen Himayat

Score-based generative models, which transform noise into data by learning to reverse a diffusion process, have become a cornerstone of modern generative AI. This paper contributes to establishing theoretical guarantees for the probability…

Machine Learning · Statistics 2025-02-03 Jiaqi Tang , Yuling Yan

Diffusion-based stylization methods typically denoise from a specific partial noise state for image-to-image and video-to-video tasks. This multi-step diffusion process is computationally expensive and hinders real-world application. A…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Sijie Xu , Runqi Wang , Wei Zhu , Dejia Song , Nemo Chen , Xu Tang , Yao Hu

Forecasting over graph-structured sensor networks demands models that capture both deterministic spatial trends and stochastic variability, while remaining efficient enough for repeated inference as new observations arrive. We propose…

Machine Learning · Computer Science 2026-04-02 Hanlin Dong , Arian Prabowo , Hao Xue , Ao Shuang , Tianyi Zhou , Flora D. Salim

Out-of-distribution (OOD) detection is crucial for the reliable deployment of machine learning models in real-world scenarios, enabling the identification of unknown samples or objects. A prominent approach to enhance OOD detection…

Machine Learning · Statistics 2025-08-05 Heng Gao , Jun Li

We investigate the use of diffusion models as neural density estimators. The current approach to this problem involves converting the generative process to a smooth flow, known as the Probability Flow ODE. The log density at a given sample…

Machine Learning · Computer Science 2024-10-10 Akhil Premkumar

We provide new convergence guarantees in Wasserstein distance for diffusion-based generative models, covering both stochastic (DDPM-like) and deterministic (DDIM-like) sampling methods. We introduce a simple framework to analyze…

Machine Learning · Computer Science 2025-11-14 Eliot Beyler , Francis Bach
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