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Score-based Generative Models (SGMs) approximate a data distribution by perturbing it with Gaussian noise and subsequently denoising it via a learned reverse diffusion process. These models excel at modeling complex data distributions and…

Machine Learning · Computer Science 2025-09-23 Stefano Bruno , Sotirios Sabanis

Flow Matching enables simulation-free training of generative models on Riemannian manifolds, yet sampling typically still relies on numerically integrating a probability-flow ODE. We propose Riemannian MeanFlow (RMF), extending MeanFlow to…

Machine Learning · Computer Science 2026-05-21 Zichen Zhong , Haoliang Sun , Yukun Zhao , Yongshun Gong , Yilong Yin

One-step generative modeling seeks to generate high-quality data samples in a single function evaluation, significantly improving efficiency over traditional diffusion or flow-based models. In this work, we introduce Modular MeanFlow (MMF),…

Machine Learning · Computer Science 2025-08-26 Haochen You , Baojing Liu , Hongyang He

Conventional physically based rendering (PBR) pipelines generate photorealistic images through computationally intensive light transport simulations. Although recent deep learning approaches leverage diffusion model priors with geometry…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Shenghao Zhang , Runtao Liu , Christopher Schroers , Yang Zhang

Channel modelling is essential to designing modern wireless communication systems. The increasing complexity of channel modelling and the cost of collecting high-quality wireless channel data have become major challenges. In this paper, we…

Artificial Intelligence · Computer Science 2023-08-11 Ushnish Sengupta , Chinkuo Jao , Alberto Bernacchia , Sattar Vakili , Da-shan Shiu

Variational inference is a technique that approximates a target distribution by optimizing within the parameter space of variational families. On the other hand, Wasserstein gradient flows describe optimization within the space of…

Machine Learning · Statistics 2023-11-01 Mingxuan Yi , Song Liu

Diffusion models have achieved impressive success in high-fidelity image generation but suffer from slow sampling due to their inherently iterative denoising process. While recent one-step methods accelerate inference by learning direct…

Machine Learning · Computer Science 2025-10-15 Hanru Bai , Weiyang Ding , Difan Zou

Sampling from an unknown distribution, accessible only through discrete samples, is a fundamental problem at the core of generative AI. The current state-of-the-art methods follow a two-step process: first, estimating the score function…

Machine Learning · Computer Science 2026-05-20 Samuel Hurault , Matthieu Terris , Thomas Moreau , Gabriel Peyré

Flow based generative models have charted an impressive path across multiple visual generation tasks by adhering to a simple principle: learning velocity representations of a linear interpolant. However, we observe that training velocity…

Computer Vision and Pattern Recognition · Computer Science 2025-09-04 Inkyu Shin , Chenglin Yang , Liang-Chieh Chen

In this paper, we propose a novel numerical scheme to optimize the gradient flows for learning energy-based models (EBMs). From a perspective of physical simulation, we redefine the problem of approximating the gradient flow utilizing…

Computer Vision and Pattern Recognition · Computer Science 2023-05-01 Yang Wu , Pengxu Wei , Liang Lin

State-of-the-art text-to-image models produce high-quality images, but inference remains expensive as generation requires several sequential ODE or denoising steps. Native one-step models aim to reduce this cost by mapping noise to an image…

Sampling from unnormalized target distributions is a fundamental yet challenging task in machine learning and statistics. Existing sampling algorithms typically require many iterative steps to produce high-quality samples, leading to high…

Machine Learning · Computer Science 2025-02-17 Pascal Jutras-Dubé , Patrick Pynadath , Ruqi Zhang

Diffusion Models have emerged as a leading class of generative models, yet their iterative sampling process remains computationally expensive. Timestep distillation is a promising technique to accelerate generation, but it often requires…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Guanjie Chen , Shirui Huang , Kai Liu , Jianchen Zhu , Xiaoye Qu , Peng Chen , Yu Cheng , Yifu Sun

Score-based distillation methods (e.g., variational score distillation) train one-step diffusion models by first pre-training a teacher score model and then distilling it into a one-step student model. However, the gradient estimator in the…

Many real-world applications of flow-based generative models desire a diverse set of samples that cover multiple modes of the target distribution. However, the predominant approach for obtaining diverse sets is not sample-efficient, as it…

Machine Learning · Computer Science 2025-04-11 Mashrur M. Morshed , Vishnu Boddeti

Consistency models, which were proposed to mitigate the high computational overhead during the sampling phase of diffusion models, facilitate single-step sampling while attaining state-of-the-art empirical performance. When integrated into…

Machine Learning · Statistics 2024-02-13 Gen Li , Zhihan Huang , Yuting Wei

This paper explores the problem of generative modeling, aiming to simulate diverse examples from an unknown distribution based on observed examples. While recent studies have focused on quantifying the statistical precision of popular…

Statistics Theory · Mathematics 2024-06-07 Elen Vardanyan , Sona Hunanyan , Tigran Galstyan , Arshak Minasyan , Arnak Dalalyan

In the realm of Artificial Intelligence Generated Content (AIGC), flow-matching models have emerged as a powerhouse, achieving success due to their robust theoretical underpinnings and solid ability for large-scale generative modeling.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Zemin Huang , Zhengyang Geng , Weijian Luo , Guo-jun Qi

Learning conditional densities and identifying factors that influence the entire distribution are vital tasks in data-driven applications. Conventional approaches work mostly with summary statistics, and are hence inadequate for a…

Methodology · Statistics 2022-09-13 Chengliang Tang , Nathan Lenssen , Ying Wei , Tian Zheng

Generative Adversarial Nets (GANs) are very successful at modeling distributions from given samples, even in the high-dimensional case. However, their formulation is also known to be hard to optimize and often not stable. While this is…

Computer Vision and Pattern Recognition · Computer Science 2018-03-30 Ishan Deshpande , Ziyu Zhang , Alexander Schwing
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