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Generative models have emerged as a powerful paradigm for solving physics systems and modeling complex spatiotemporal dynamics. However, achieving high physical accuracy without incurring high computational cost remains a fundamental…

Machine Learning · Computer Science 2026-05-27 Jiahe Huang , Sihan Xu , Sharvaree Vadgama , Rose Yu

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

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

Existing rectified flow models are based on linear trajectories between data and noise distributions. This linearity enforces zero curvature, which can inadvertently force the image generation process through low-probability regions of the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Yan Luo , Drake Du , Hao Huang , Yi Fang , Mengyu Wang

Modeling stochastic dynamics from discrete observations is a key interdisciplinary challenge. Existing methods often fail to estimate the continuous evolution of probability densities from trajectories or face the curse of dimensionality.…

Computational Engineering, Finance, and Science · Computer Science 2025-12-02 Ruikun Li , Jiazhen Liu , Huandong Wang , Qingmin Liao , Yong Li

A curious phenomenon observed in some dynamical generative models is the following: despite learning errors in the score function or the drift vector field, the generated samples appear to shift \emph{along} the support of the data…

Machine Learning · Computer Science 2025-08-12 Nisha Chandramoorthy , Adriaan de Clercq

Flow-based models have proven successful for time-series generation, particularly when defined in lower-dimensional latent spaces that enable efficient sampling. However, how to design latent representations with desirable equivariance…

Machine Learning · Computer Science 2026-02-02 Camilo Carvajal Reyes , Felipe Tobar

Prior flow matching methods in robotics have primarily learned velocity fields to morph one distribution of trajectories into another. In this work, we extend flow matching to capture second-order trajectory dynamics, incorporating…

Robotics · Computer Science 2025-03-11 Khang Nguyen , An T. Le , Tien Pham , Manfred Huber , Jan Peters , Minh Nhat Vu

Building efficient and effective generative models for neural network weights has been a research focus of significant interest that faces challenges posed by the high-dimensional weight spaces of modern neural networks and their…

Machine Learning · Computer Science 2026-05-01 Saumya Gupta , Scott Biggs , Moritz Laber , Zohair Shafi , Robin Walters , Ayan Paul

Modern generative modeling methods have demonstrated strong performance in learning complex data distributions from clean samples. In many scientific and imaging applications, however, clean samples are unavailable, and only noisy or…

Machine Learning · Computer Science 2026-05-29 Willem Diepeveen , Oscar Leong

In this paper, we present a new self-supervised scene flow estimation approach for a pair of consecutive point clouds. The key idea of our approach is to represent discrete point clouds as continuous probability density functions using…

Computer Vision and Pattern Recognition · Computer Science 2022-03-24 Pan He , Patrick Emami , Sanjay Ranka , Anand Rangarajan

Flow models have rapidly become the go-to method for training and deploying large-scale generators, owing their success to inference-time flexibility via adjustable integration steps. A crucial ingredient in flow training is the choice of…

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

Guidance provides a simple and effective framework for posterior sampling by steering the generation process towards the desired distribution. When modeling discrete data, existing approaches mostly focus on guidance with the first-order…

Machine Learning · Computer Science 2026-04-16 Zhengyan Wan , Yidong Ouyang , Liyan Xie , Fang Fang , Hongyuan Zha , Guang Cheng

Flow Matching has recently gained attention in generative modeling as a simple and flexible alternative to diffusion models. While existing statistical guarantees adapt tools from the analysis of diffusion models, we take a different…

Machine Learning · Statistics 2026-03-18 Lea Kunkel , Mathias Trabs

Flow models are effective at progressively generating realistic images, but they generally struggle to capture long-range dependencies during the generation process as they compress all the information from previous time steps into a single…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Mude Hui , Rui-Jie Zhu , Songlin Yang , Yu Zhang , Zirui Wang , Yuyin Zhou , Jason Eshraghian , Cihang Xie

Flow Matching has recently emerged as a popular class of generative models for simulating a target distribution $\mu_1$ from samples drawn from a source distribution $\mu_0$. This framework relies on a fixed coupling between $\mu_0$ and…

Machine Learning · Computer Science 2026-05-12 Le-Tuyet-Nhi Pham , Giovanni Conforti , Zhenjie Ren , Alain Durmus

Most research designing novel predictive models, or employing existing ones, assumes that training and testing data are independent and identically distributed. In practice, the data encountered at serving time often deviate from the…

Machine Learning · Computer Science 2026-03-30 Hanyu Duan , Yi Yang , Ahmed Abbasi , Kar Yan Tam

Imitation learning is a promising approach for enabling generalist capabilities in humanoid robots, but its scaling is fundamentally constrained by the scarcity of high-quality expert demonstrations. This limitation can be mitigated by…

Robotics · Computer Science 2025-08-21 Quentin Rouxel , Clemente Donoso , Fei Chen , Serena Ivaldi , Jean-Baptiste Mouret

In transfer learning, it is imperative to achieve strong alignment between a pre-trained model and a downstream task. Prior work has done this by proposing task-specific pre-training objectives, which sacrifices the inherent scalability of…

Computation and Language · Computer Science 2021-06-15 Shikib Mehri , Maxine Eskenazi