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Data assimilation (DA) integrates observations with a dynamical model to estimate states of PDE-governed systems. Model-driven methods (e.g., Kalman, particle) presuppose full knowledge of the true dynamics, which is not always satisfied in…

Signal Processing · Electrical Eng. & Systems 2025-06-06 Siyi Chen , Yixuan Jia , Qing Qu , He Sun , Jeffrey A Fessler

Robots can acquire complex manipulation skills by learning policies from expert demonstrations, which is often known as vision-based imitation learning. Generating policies based on diffusion and flow matching models has been shown to be…

Robotics · Computer Science 2024-12-17 Qinglun Zhang , Zhen Liu , Haoqiang Fan , Guanghui Liu , Bing Zeng , Shuaicheng Liu

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 map learning (FML), in conjunction with deep neural networks (DNNs), has shown promises for data driven modeling of unknown dynamical systems. A remarkable feature of FML is that it is capable of producing accurate predictive models…

Machine Learning · Computer Science 2023-07-21 Victor Churchill , Dongbin Xiu

Understanding complex systems by inferring trajectories from sparse sample snapshots is a fundamental challenge in a wide range of domains, e.g., single-cell biology, meteorology, and economics. Despite advancements in Bridge and Flow…

Most recent diffusion-based methods still show a large gap compared to non-diffusion methods for video frame interpolation, in both accuracy and efficiency. Most of them formulate the problem as a denoising procedure in latent space…

Computer Vision and Pattern Recognition · Computer Science 2025-04-02 Yang Hai , Guo Wang , Tan Su , Wenjie Jiang , Yinlin Hu

This paper proposes a novel method, Explicit Flow Matching (ExFM), for training and analyzing flow-based generative models. ExFM leverages a theoretically grounded loss function, ExFM loss (a tractable form of Flow Matching (FM) loss), to…

Machine Learning · Computer Science 2024-07-03 Gleb Ryzhakov , Svetlana Pavlova , Egor Sevriugov , Ivan Oseledets

This paper preliminarily investigates the duality between flow matching in generative models and particle swarm optimization (PSO) in evolutionary computation. Through theoretical analysis, we reveal the intrinsic connections between these…

Neural and Evolutionary Computing · Computer Science 2025-07-29 Kaichen Ouyang

Recent advances in inverse problem solving have increasingly adopted flow priors over diffusion models due to their ability to construct straight probability paths from noise to data, thereby enhancing efficiency in both training and…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Hossein Askari , Yadan Luo , Hongfu Sun , Fred Roosta

We propose a novel multiple-scale spatial marching method for flows with slow streamwise variation. The key idea is to couple the boundary region equations, which govern large-scale flow evolution, with local exact coherent structures that…

Fluid Dynamics · Physics 2026-01-14 Runjie Song , Kengo Deguchi

We introduce FLOWR, a novel structure-based framework for the generation and optimization of three-dimensional ligands. FLOWR integrates continuous and categorical flow matching with equivariant optimal transport, enhanced by an efficient…

Quantitative Methods · Quantitative Biology 2025-05-14 Julian Cremer , Ross Irwin , Alessandro Tibo , Jon Paul Janet , Simon Olsson , Djork-Arné Clevert

The growing significance of RNA engineering in diverse biological applications has spurred interest in developing AI methods for structure-based RNA design. While diffusion models have excelled in protein design, adapting them for RNA…

Biomolecules · Quantitative Biology 2024-06-11 Divya Nori , Wengong Jin

Flow matching policies learn continuous velocity fields that transport noise to actions, enabling fast deterministic inference for robot manipulation. However, standard training optimizes a pointwise velocity objective while inference…

Robotics · Computer Science 2026-05-12 Riad Ahmed , Sujosh Nag , Moniruzzaman Akash , Mostafa Hussein , Momotaz Begum

Diffusion and flow-matching have emerged as powerful methodologies for generative modeling, with remarkable success in capturing complex data distributions and enabling flexible guidance at inference time. Many downstream applications,…

Machine Learning · Computer Science 2026-04-28 Zeyang Li , Kaveh Alim , Navid Azizan

Complex systems are often described with competing models. Such divergence of interpretation on the system may stem from model fidelity, mathematical simplicity, and more generally, our limited knowledge of the underlying processes.…

Numerical Analysis · Mathematics 2017-07-21 Lun Yang , Akil Narayan , Peng Wang

Iterative generative models such as Flow Matching and Diffusion models have demonstrated strong test-time scaling behavior, where additional inference computation can improve generation quality. In contrast, Drift Models offer efficient…

Machine Learning · Computer Science 2026-05-19 Chenrui Ma , Xi Xiao , Lin Zhao , Tianyang Wang , Ferdinando Fioretto , Yanning Shen

Generative models have become increasingly powerful tools for robot motion generation, enabling flexible and multimodal trajectory generation across various tasks. Yet, most existing approaches remain limited in handling multiple types of…

Robotics · Computer Science 2026-01-15 Zewen Yang , Xiaobing Dai , Dian Yu , Zhijun Li , Majid Khadiv , Sandra Hirche , Sami Haddadin

Generative models for image generation are now commonly used for a wide variety of applications, ranging from guided image generation for entertainment to solving inverse problems. Nonetheless, training a generator is a non-trivial feat…

Machine Learning · Computer Science 2025-03-07 Eldad Haber , Shadab Ahamed , Md. Shahriar Rahim Siddiqui , Niloufar Zakariaei , Moshe Eliasof

Generative Flow Networks (GFlowNets) are recently proposed models for learning stochastic policies that generate compositional objects by sequences of actions with the probability proportional to a given reward function. The central problem…

Machine Learning · Computer Science 2022-10-03 Anh Do , Duy Dinh , Tan Nguyen , Khuong Nguyen , Stanley Osher , Nhat Ho

A generative model based on a continuous-time normalizing flow between any pair of base and target probability densities is proposed. The velocity field of this flow is inferred from the probability current of a time-dependent density that…

Machine Learning · Computer Science 2023-03-10 Michael S. Albergo , Eric Vanden-Eijnden