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Flow matching has emerged as a powerful generative framework, with recent few-step methods achieving remarkable inference acceleration. However, we identify a critical yet overlooked limitation: these models suffer from severe diversity…

Machine Learning · Computer Science 2026-04-15 Yexiong Lin , Jia Shi , Shanshan Ye , Wanyu Wang , Yu Yao , Tongliang Liu

Traditional structured prediction models try to learn the conditional likelihood, i.e., p(y|x), to capture the relationship between the structured output y and the input features x. For many models, computing the likelihood is intractable.…

Machine Learning · Computer Science 2020-02-28 You Lu , Bert Huang

Statistical generative models for molecular graphs attract attention from many researchers from the fields of bio- and chemo-informatics. Among these models, invertible flow-based approaches are not fully explored yet. In this paper, we…

Machine Learning · Computer Science 2019-10-01 Shion Honda , Hirotaka Akita , Katsuhiko Ishiguro , Toshiki Nakanishi , Kenta Oono

We introduce a novel objective for training deep generative time-series models with discrete latent variables for which supervision is only sparsely available. This instance of semi-supervised learning is challenging for existing methods,…

Machine Learning · Computer Science 2020-07-02 Michael Teng , Tuan Anh Le , Adam Scibior , Frank Wood

Deep generative models, such as diffusion models, have shown promising progress in image generation and audio generation via simplified continuity assumptions. However, the development of generative modeling techniques for generating…

Computer Vision and Pattern Recognition · Computer Science 2025-10-30 Wenhao Zheng , Chenwei Sun , Wenbo Zhang , Jiancheng Lv , Xianggen Liu

We propose Manifold Free-Form Flows (M-FFF), a simple new generative model for data on manifolds. The existing approaches to learning a distribution on arbitrary manifolds are expensive at inference time, since sampling requires solving a…

Machine Learning · Computer Science 2024-11-26 Peter Sorrenson , Felix Draxler , Armand Rousselot , Sander Hummerich , Ullrich Köthe

Standard flow matching scales well but typically relies on an unstructured source distribution, limiting its ability to learn interpretable latent structure. Latent-variable models, by contrast, capture structure but often sacrifice…

Machine Learning · Computer Science 2026-05-11 Xavier Sumba , Carles Balsells-Rodas , Yingzhen Li

Gaussian processes are widely used for the analysis of spatial data due to their nonparametric flexibility and ability to quantify uncertainty, and recently developed scalable approximations have facilitated application to massive datasets.…

Methodology · Statistics 2021-10-13 F. William Townes , Barbara E. Engelhardt

Flow Matching has limited ability in achieving one-step generation due to its reliance on learned curved trajectories. Previous studies have attempted to address this limitation by either modifying the coupling distribution to prevent…

Machine Learning · Computer Science 2025-11-25 Chenrui Ma , Xi Xiao , Tianyang Wang , Xiao Wang , Yanning Shen

We tackle the problem of sampling from intractable high-dimensional density functions, a fundamental task that often appears in machine learning and statistics. We extend recent sampling-based approaches that leverage controlled stochastic…

Machine Learning · Computer Science 2024-03-12 Dinghuai Zhang , Ricky T. Q. Chen , Cheng-Hao Liu , Aaron Courville , Yoshua Bengio

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

There is a growing gap between the impressive results of deep image generative models and classical algorithms that offer theoretical guarantees. The former suffer from mode collapse or memorization issues, limiting their application to…

Machine Learning · Statistics 2023-06-02 Florentin Guth , Etienne Lempereur , Joan Bruna , Stéphane Mallat

In this work, we look at Score-based generative models (also called diffusion generative models) from a geometric perspective. From a new view point, we prove that both the forward and backward process of adding noise and generating from…

Machine Learning · Computer Science 2023-02-10 Sandesh Ghimire , Jinyang Liu , Armand Comas , Davin Hill , Aria Masoomi , Octavia Camps , Jennifer Dy

Diffusion and flow-based generative models have achieved remarkable success in domains such as image synthesis, video generation, and natural language modeling. In this work, we extend these advances to weight space learning by leveraging…

Machine Learning · Computer Science 2025-10-17 Daniel Saragih , Deyu Cao , Tejas Balaji

Recent progress with conditional image diffusion models has been stunning, and this holds true whether we are speaking about models conditioned on a text description, a scene layout, or a sketch. Unconditional image diffusion models are…

Computer Vision and Pattern Recognition · Computer Science 2023-06-22 William Harvey , Frank Wood

While theoretically appealing, the application of the Wasserstein distance to large-scale machine learning problems has been hampered by its prohibitive computational cost. The sliced Wasserstein distance and its variants improve the…

Machine Learning · Computer Science 2022-03-18 Xiongjie Chen , Yongxin Yang , Yunpeng Li

In this paper, we explore the potential of generative machine learning models as an alternative to the computationally expensive Monte Carlo (MC) simulations commonly used by the Large Hadron Collider (LHC) experiments. Our objective is to…

High Energy Physics - Experiment · Physics 2023-11-21 Allison Xu , Shuo Han , Xiangyang Ju , Haichen Wang

Generative modeling of crystal data distribution is an important yet challenging task due to the unique periodic physical symmetry of crystals. Diffusion-based methods have shown early promise in modeling crystal distribution. More…

Machine Learning · Computer Science 2025-02-05 Hanlin Wu , Yuxuan Song , Jingjing Gong , Ziyao Cao , Yawen Ouyang , Jianbing Zhang , Hao Zhou , Wei-Ying Ma , Jingjing Liu

Deep generative models such as flow and diffusion models have proven to be effective in modeling high-dimensional and complex data types such as videos or proteins, and this has motivated their use in different data modalities, such as…

Machine Learning · Computer Science 2025-04-08 Ege Erdogan

We propose an inference-time scaling approach for pretrained flow models. Recently, inference-time scaling has gained significant attention in LLMs and diffusion models, improving sample quality or better aligning outputs with user…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Jaihoon Kim , Taehoon Yoon , Jisung Hwang , Minhyuk Sung
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