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The ability of Flow Matching (FM) to model complex conditional distributions has established it as the state-of-the-art for prediction tasks (e.g., robotics, weather forecasting). However, deployment in safety-critical settings is hindered…

Machine Learning · Computer Science 2026-02-16 Constantinos Tsakonas , Serena Ivaldi , Jean-Baptiste Mouret

Diffusion models generate high-quality images but require dozens of forward passes. We introduce Distribution Matching Distillation (DMD), a procedure to transform a diffusion model into a one-step image generator with minimal impact on…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Tianwei Yin , Michaël Gharbi , Richard Zhang , Eli Shechtman , Fredo Durand , William T. Freeman , Taesung Park

Flow map models such as Consistency Models (CM) and Mean Flow (MF) enable few-step generation by learning the long jump of the ODE solution of diffusion models, yet training remains unstable, sensitive to hyperparameters, and costly.…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Zheyuan Hu , Chieh-Hsin Lai , Yuki Mitsufuji , Stefano Ermon

Understanding galaxy morphology evolution across cosmic time requires models that can generate realistic galaxy populations conditioned on redshift. In this work, we study efficient redshift-conditioned generative modeling for astrophysical…

Instrumentation and Methods for Astrophysics · Physics 2026-05-19 Tianyue Yang , Sandro Tacchella , Xiao Xue

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

The multi-step denoising process in diffusion and Flow Matching models causes major efficiency issues, which motivates research on few-step generation. We present Solution Flow Models (SoFlow), a framework for one-step generation from…

Machine Learning · Computer Science 2026-03-03 Tianze Luo , Haotian Yuan , Zhuang Liu

One-step generative modeling has emerged as a leading approach to amortize the inference cost of diffusion and flow-matching models. Among distillation-free methods, MeanFlow training is notoriously unstable, with non-decreasing loss and…

Machine Learning · Computer Science 2026-05-12 Juanwu Lu , Ziran Wang

Diffusion distillation is a widely used technique to reduce the sampling cost of diffusion models, yet it often requires extensive training, and the student performance tends to be degraded. Recent studies show that incorporating a GAN…

Machine Learning · Computer Science 2025-06-12 Bowen Zheng , Tianming Yang

Diffusion models and flow-based methods have shown impressive generative capability, especially for images, but their sampling is expensive because it requires many iterative updates. We introduce W-Flow, a framework for training a…

Machine Learning · Computer Science 2026-05-28 Jiaqi Han , Puheng Li , Qiushan Guo , Renyuan Xu , Stefano Ermon , Emmanuel J. Candès

The task of deducing three-dimensional molecular configurations from their two-dimensional graph representations holds paramount importance in the fields of computational chemistry and pharmaceutical development. The rapid advancement of…

Biomolecules · Quantitative Biology 2025-01-09 Bobin Yang , Jie Deng , Zhenghan Chen , Ruoxue Wu

We propose Functional Flow Matching (FFM), a function-space generative model that generalizes the recently-introduced Flow Matching model to operate in infinite-dimensional spaces. Our approach works by first defining a path of probability…

Machine Learning · Computer Science 2023-12-07 Gavin Kerrigan , Giosue Migliorini , Padhraic Smyth

Recent approaches have shown promises distilling diffusion models into efficient one-step generators. Among them, Distribution Matching Distillation (DMD) produces one-step generators that match their teacher in distribution, without…

Computer Vision and Pattern Recognition · Computer Science 2024-05-27 Tianwei Yin , Michaël Gharbi , Taesung Park , Richard Zhang , Eli Shechtman , Fredo Durand , William T. Freeman

Given a set of $K$ probability densities, we consider the multimarginal generative modeling problem of learning a joint distribution that recovers these densities as marginals. The structure of this joint distribution should identify…

Machine Learning · Computer Science 2023-10-06 Michael S. Albergo , Nicholas M. Boffi , Michael Lindsey , Eric Vanden-Eijnden

Deep Generative Machine Learning Models (DGMs) have been growing in popularity across the design community thanks to their ability to learn and mimic complex data distributions. DGMs are conventionally trained to minimize statistical…

Machine Learning · Computer Science 2022-06-16 Lyle Regenwetter , Faez Ahmed

An adaptive bandwidth selection procedure for the mixture kernel in the maximum mean discrepancy (MMD) for fitting generative moment matching networks (GMMNs) is introduced, and its ability to improve the learning of copula random number…

Machine Learning · Statistics 2025-09-01 Marius Hofert , Gan Yao

Current discriminative depth estimation methods often produce blurry artifacts, while generative approaches suffer from slow sampling due to curvatures in the noise-to-depth transport. Our method addresses these challenges by framing depth…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Ming Gui , Johannes Schusterbauer , Ulrich Prestel , Pingchuan Ma , Dmytro Kotovenko , Olga Grebenkova , Stefan Andreas Baumann , Vincent Tao Hu , Björn Ommer

Masked discrete diffusion models (MDMs) are a promising new approach to generative modelling, offering the ability for parallel token generation and therefore greater efficiency than autoregressive counterparts. However, achieving an…

Machine Learning · Computer Science 2026-03-02 David Fox , Sam Bowyer , Song Liu , Laurence Aitchison , Raul Santos-Rodriguez , Mengyue Yang

We propose a new score-based model with one-step sampling. Previously, score-based models were burdened with heavy computations due to iterative sampling. For substituting the iterative process, we train a standalone generator to compress…

Computer Vision and Pattern Recognition · Computer Science 2023-09-21 Senmao Ye , Fei Liu

Recent studies suggest utilizing generative models instead of traditional auto-regressive algorithms for time series forecasting (TSF) tasks. These non-auto-regressive approaches involving different generative methods, including GAN,…

Machine Learning · Computer Science 2025-03-19 Jiangxuan Long , Zhao Song , Chiwun Yang

MeanFlow promises high-quality generative modeling in few steps, by jointly learning instantaneous and average velocity fields. Yet, the underlying training dynamics remain unclear. We analyze the interaction between the two velocities and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Jin-Young Kim , Hyojun Go , Lea Bogensperger , Julius Erbach , Nikolai Kalischek , Federico Tombari , Konrad Schindler , Dominik Narnhofer