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We propose a principled and effective framework for one-step generative modeling. We introduce the notion of average velocity to characterize flow fields, in contrast to instantaneous velocity modeled by Flow Matching methods. A…

Machine Learning · Computer Science 2025-05-20 Zhengyang Geng , Mingyang Deng , Xingjian Bai , J. Zico Kolter , Kaiming He

Deep generative models have emerged as promising tools for detecting arbitrary anomalies in data, dispensing with the necessity for manual labelling. Recently, autoregressive transformers have achieved state-of-the-art performance for…

Normalizing flows (NFs) are end-to-end likelihood-based generative models for continuous data, and have recently regained attention with encouraging progress on image generation. Yet in the video generation domain, where spatiotemporal…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Jiatao Gu , Ying Shen , Tianrong Chen , Laurent Dinh , Yuyang Wang , Miguel Angel Bautista , David Berthelot , Josh Susskind , Shuangfei Zhai

In computational fluid dynamics, there is an inevitable trade off between accuracy and computational cost. In this work, a novel multi-fidelity deep generative model is introduced for the surrogate modeling of high-fidelity turbulent flow…

Computational Physics · Physics 2021-01-12 Nicholas Geneva , Nicholas Zabaras

Flow-based deep generative models learn data distributions by transforming a simple base distribution into a complex distribution via a set of invertible transformations. Due to the invertibility, such models can score unseen data samples…

Machine Learning · Computer Science 2019-06-18 Maximilian Schmidt , Marko Simic

Rectified flow is a generative model that learns smooth transport mappings between two distributions through an ordinary differential equation (ODE). Unlike diffusion-based generative models, which require costly numerical integration of a…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Shin Seong Kim , Mingi Kwon , Jaeseok Jeong , Youngjung Uh

Diffusion- and flow-based models have emerged as state-of-the-art generative modeling approaches, but they require many sampling steps. Consistency models can distill these models into efficient one-step generators; however, unlike flow-…

Computer Vision and Pattern Recognition · Computer Science 2025-06-18 Amirmojtaba Sabour , Sanja Fidler , Karsten Kreis

Discrete diffusion or flow models could enable faster and more controllable sequence generation than autoregressive models. We show that na\"ive linear flow matching on the simplex is insufficient toward this goal since it suffers from…

Biomolecules · Quantitative Biology 2024-06-03 Hannes Stark , Bowen Jing , Chenyu Wang , Gabriele Corso , Bonnie Berger , Regina Barzilay , Tommi Jaakkola

Forecasting neural activity in response to naturalistic stimuli remains a key challenge for understanding brain dynamics and enabling downstream neurotechnological applications. Here, we introduce a generative forecasting framework for…

Neurons and Cognition · Quantitative Biology 2026-04-14 Nicole Rogalla , Yuzhen Qin , Mario Senden , Ahmed El-Gazzar , Marcel van Gerven

Conditional flow matching (CFM) stands out as an efficient, simulation-free approach for training flow-based generative models, achieving remarkable performance for data generation. However, CFM is insufficient to ensure accuracy in…

Machine Learning · Computer Science 2026-02-03 Yuhao Huang , Taos Transue , Shih-Hsin Wang , William Feldman , Hong Zhang , Bao Wang

Autoregressive models have driven remarkable progress in language modeling. Their foundational reliance on discrete tokens, unidirectional context, and single-pass decoding, while central to their success, also inspires the exploration of a…

We introduce Flux Matching, a new paradigm for generative modeling that generalizes existing score-based models to a broader family of vector fields that need not be conservative. Rather than requiring the model to equal the data score, the…

Machine Learning · Computer Science 2026-05-11 Peter Pao-Huang , Xiaojie Qiu , Stefano Ermon

This paper introduces Gauge Flow Models, a novel class of Generative Flow Models. These models incorporate a learnable Gauge Field within the Flow Ordinary Differential Equation (ODE). A comprehensive mathematical framework for these…

Machine Learning · Computer Science 2026-03-04 Alexander Strunk , Roland Assam

We present a theoretical analysis of decentralization of autoregressive generation. We define the Decentralized Discrete Flow Matching objective, by expressing probability generating velocity as a linear combination of expert flows. We also…

Machine Learning · Computer Science 2026-01-14 Stepan Maschan , Haoxuan Qu , Jun Liu

Directed acyclic graphs (DAGs) serve as crucial data representations in domains such as hardware synthesis and compiler/program optimization for computing systems. DAG generative models facilitate the creation of synthetic DAGs, which can…

Machine Learning · Computer Science 2025-03-04 Mufei Li , Viraj Shitole , Eli Chien , Changhai Man , Zhaodong Wang , Srinivas Sridharan , Ying Zhang , Tushar Krishna , Pan Li

Deep generative models have achieved tremendous success in structure-based drug design in recent years, especially for generating 3D ligand molecules that bind to specific protein pocket. Notably, diffusion models have transformed ligand…

Machine Learning · Computer Science 2024-12-03 Daiheng Zhang , Chengyue Gong , Qiang Liu

Diffusion models represent a class of generative models that produce data by denoising a sample corrupted by white noise. Despite the success of diffusion models in computer vision, audio synthesis, and point cloud generation, so far they…

Statistical Mechanics · Physics 2025-01-17 Kanta Masuki , Yuto Ashida

Streamflow, as a natural phenomenon, is continuous in time and so are the meteorological variables which influence its variability. In practice, it can be of interest to forecast the whole flow curve instead of points (daily or hourly). To…

Applications · Statistics 2016-10-20 Pierre Masselot , Sophie Dabo-Niang , Fateh Chebana , Taha B. M. J. Ouarda

In the past, normalizing generative flows have emerged as a promising class of generative models for natural images. This type of model has many modeling advantages: the ability to efficiently compute log-likelihood of the input data, fast…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Alexander Kolesnikov , André Susano Pinto , Michael Tschannen

Federated learning (FL) aims to train machine learning (ML) models collaboratively using decentralized data, bypassing the need for centralized data aggregation. Standard FL models often assume that all data come from the same unknown…

Machine Learning · Computer Science 2025-03-25 Wen Bai , Yi Wong , Xiao Qiao , Chin Pang Ho