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Normalizing flows are exact-likelihood generative neural networks which approximately transform samples from a simple prior distribution to samples of the probability distribution of interest. Recent work showed that such generative models…

Machine Learning · Statistics 2020-10-27 Jonas Köhler , Leon Klein , Frank Noé

Strong semantic representations improve the convergence and generation quality of diffusion and flow models. Existing approaches largely rely on external models, which require separate training, operate on misaligned objectives, and exhibit…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Hila Chefer , Patrick Esser , Dominik Lorenz , Dustin Podell , Vikash Raja , Vinh Tong , Antonio Torralba , Robin Rombach

Equivariance is central to graph generative models, as it ensures the model respects the permutation symmetry of graphs. However, strict equivariance can increase computational cost due to added architectural constraints, and can slow down…

Machine Learning · Computer Science 2026-02-23 Benjamin Honoré , Alba Carballo-Castro , Yiming Qin , Pascal Frossard

We introduce ImitationFlow, a novel Deep generative model that allows learning complex globally stable, stochastic, nonlinear dynamics. Our approach extends the Normalizing Flows framework to learn stable Stochastic Differential Equations.…

Machine Learning · Computer Science 2020-10-27 Julen Urain , Michelle Ginesi , Davide Tateo , Jan Peters

Modeling transformations between arbitrary data distributions is a fundamental scientific challenge, arising in applications like drug discovery and evolutionary simulation. While flow matching offers a natural framework for this task, its…

Machine Learning · Computer Science 2025-10-09 Shiye Su , Yuhui Zhang , Linqi Zhou , Rajesh Ranganath , Serena Yeung-Levy

Normalizing flows are a class of deep generative models that are especially interesting for modeling probability distributions in physics, where the exact likelihood of flows allows reweighting to known target energy functions and computing…

Machine Learning · Statistics 2023-11-27 Leon Klein , Andreas Krämer , Frank Noé

Deep generative models provide state-of-the-art performance across a wide array of applications, with recent studies showing increasing applicability for science and engineering. Despite a growing corpus of literature focused on the…

Machine Learning · Computer Science 2026-05-14 Jacob K. Christopher , James E. Warner , Ferdinando Fioretto

Flow Matching has emerged as a powerful framework for learning continuous transformations between distributions, enabling high-fidelity generative modeling. This work introduces Symmetrical Flow Matching (SymmFlow), a new formulation that…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Francisco Caetano , Christiaan Viviers , Peter H. N. De With , Fons van der Sommen

In the past few years, deep generative models, such as generative adversarial networks \autocite{GAN}, variational autoencoders \autocite{vaepaper}, and their variants, have seen wide adoption for the task of modelling complex data…

Machine Learning · Statistics 2020-09-02 Guilherme G. P. Freitas Pires , Mário A. T. Figueiredo

Generating new molecules is fundamental to advancing critical applications such as drug discovery and material synthesis. Flows can generate molecules effectively by inverting the encoding process, however, existing flow models either…

Machine Learning · Computer Science 2022-10-14 Yogesh Verma , Samuel Kaski , Markus Heinonen , Vikas Garg

Normalizing flows are a powerful class of generative models for continuous random variables, showing both strong model flexibility and the potential for non-autoregressive generation. These benefits are also desired when modeling discrete…

Machine Learning · Statistics 2019-06-06 Zachary M. Ziegler , Alexander M. Rush

We propose SymDiff, a method for constructing equivariant diffusion models using the framework of stochastic symmetrisation. SymDiff resembles a learned data augmentation that is deployed at sampling time, and is lightweight,…

Machine Learning · Computer Science 2025-03-04 Leo Zhang , Kianoosh Ashouritaklimi , Yee Whye Teh , Rob Cornish

Normalizing flows have shown great success as general-purpose density estimators. However, many real world applications require the use of domain-specific knowledge, which normalizing flows cannot readily incorporate. We propose…

Machine Learning · Statistics 2022-03-17 Gianluigi Silvestri , Emily Fertig , Dave Moore , Luca Ambrogioni

Normalizing Flows are generative models that directly maximize the likelihood. Previously, the design of normalizing flows was largely constrained by the need for analytical invertibility. We overcome this constraint by a training procedure…

Machine Learning · Computer Science 2024-04-25 Felix Draxler , Peter Sorrenson , Lea Zimmermann , Armand Rousselot , Ullrich Köthe

Correctly capturing the symmetry transformations of data can lead to efficient models with strong generalization capabilities, though methods incorporating symmetries often require prior knowledge. While recent advancements have been made…

Robotic manipulation in unstructured environments requires the generation of robust and long-horizon trajectory-level policy with conditions of perceptual observations and benefits from the advantages of SE(3)-equivariant diffusion models…

Robotics · Computer Science 2025-09-30 Zhitao Wang , Yanke Wang , Jiangtao Wen , Roberto Horowitz , Yuxing Han

Spatial understanding is a critical aspect of most robotic tasks, particularly when generalization is important. Despite the impressive results of deep generative models in complex manipulation tasks, the absence of a representation that…

Robotics · Computer Science 2024-09-10 Niklas Funk , Julen Urain , Joao Carvalho , Vignesh Prasad , Georgia Chalvatzaki , Jan Peters

Normalizing flows transform a latent distribution through an invertible neural network for a flexible and pleasingly simple approach to generative modelling, while preserving an exact likelihood. We propose FlowGMM, an end-to-end approach…

Machine Learning · Computer Science 2020-01-01 Pavel Izmailov , Polina Kirichenko , Marc Finzi , Andrew Gordon Wilson

Learning representations through deep generative modeling is a powerful approach for dynamical modeling to discover the most simplified and compressed underlying description of the data, to then use it for other tasks such as prediction.…

Machine Learning · Computer Science 2022-03-01 Bahar Azari , Deniz Erdoğmuş

Developing efficient and accurate visuomotor policies poses a central challenge in robotic imitation learning. While recent rectified flow approaches have advanced visuomotor policy learning, they suffer from a key limitation: After…

Robotics · Computer Science 2025-11-12 Rong Xue , Jiageng Mao , Mingtong Zhang , Yue Wang
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