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Flow Matching enables simulation-free training of generative models on Riemannian manifolds, yet sampling typically still relies on numerically integrating a probability-flow ODE. We propose Riemannian MeanFlow (RMF), extending MeanFlow to…

Machine Learning · Computer Science 2026-05-21 Zichen Zhong , Haoliang Sun , Yukun Zhao , Yongshun Gong , Yilong Yin

Machine learning has recently become a promising technique in fluid mechanics, especially for active flow control (AFC) applications. A recent work [J. Fluid Mech. (2019), vol. 865, pp. 281-302] has demonstrated the feasibility and…

Fluid Dynamics · Physics 2021-03-22 Feng Ren , Jean Rabault , Hui Tang

This work delineates a hybrid predictive framework configured as a coarse-grained surrogate for reconstructing unsteady fluid flows around multiple cylinders of diverse configurations. The presence of cylinders of arbitrary nature causes…

Fluid Dynamics · Physics 2023-11-07 Shuvayan Brahmachary , Nils Thuerey

Deep Neural Networks (DNNs) have recently achieved great success in many tasks, which encourages DNNs to be widely used as a machine learning service in model sharing scenarios. However, attackers can easily generate adversarial examples…

Machine Learning · Computer Science 2019-07-17 Xiaowei Zhou , Ivor W. Tsang , Jie Yin

Adversarial samples exploit irregularities in the manifold `learned' by deep learning models to cause misclassifications. The study of these adversarial samples provides insight into the features a model uses to classify inputs, which can…

Machine Learning · Computer Science 2026-03-04 Max Collins , Jordan Vice , Tim French , Ajmal Mian

Autonomous driving (AD) is evolving towards end-to-end (E2E) frameworks through two primary paradigms: monolithic models exemplified by Vision-Language-Action (VLA), and specialized modular architectures. Despite their divergent designs,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Xinyu Zeng , Xiangkun He , Lei Tao , Chen Lv , Hong Cheng

We model the dynamics of avalanches in granular assemblies in partly filled rotating cylinders using a mean-field approach. We show that, upon varying the cylinder angular velocity $\omega$, the system undergoes a hysteresis cycle between…

Disordered Systems and Neural Networks · Physics 2009-10-22 V. G. Benza , Franco Nori , Oscar Pla

Complex nonlinear dynamics are ubiquitous in many fields. Moreover, we rarely have access to all of the relevant state variables governing the dynamics. Delay embedding allows us, in principle, to account for unobserved state variables.…

Machine Learning · Computer Science 2022-04-27 Uttam Bhat , Stephan B. Munch

Disordered magnets, martensitic mixed crystals, and glassy solids can be irreversibly deformed by subjecting them to external deformation. The deformation produces a smooth, reversible response punctuated by abrupt relaxation "glitches".…

Soft Condensed Matter · Physics 2019-06-05 Muhittin Mungan , Thomas A. Witten

Federated Learning (FL) has emerged as a potential distributed learning paradigm that enables model training on edge devices (i.e., workers) while preserving data privacy. However, its reliance on a centralized server leads to limited…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-05 Yizhou Shi , Qianpiao Ma , Yan Xu , Junlong Zhou , Ming Hu , Yunming Liao , Hongli Xu

In this paper, we formulate the Load Flow (LF) problem in radial electricity distribution networks as an unconstrained Riemannian optimization problem, consisting of two manifolds, and we consider alternative retractions and initialization…

Optimization and Control · Mathematics 2020-04-09 M. Heidarifar , P. Andrianesis , M. C. Caramanis

The proliferation of floating anthropogenic debris in rivers has emerged as a pressing environmental concern, exerting a detrimental influence on biodiversity, water quality, and human activities such as navigation and recreation. The…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Gauthier Grimmer , Romain Wenger , Clément Flint , Germain Forestier , Gilles Rixhon , Valentin Chardon

Present-day federated learning (FL) systems deployed over edge networks consists of a large number of workers with high degrees of heterogeneity in data and/or computing capabilities, which call for flexible worker participation in terms of…

Machine Learning · Computer Science 2022-06-13 Haibo Yang , Xin Zhang , Prashant Khanduri , Jia Liu

In this study, a deep learning-based approach is applied with the aim of reconstructing high-resolution turbulent flow fields using minimal flow fields data. A multi-scale enhanced super-resolution generative adversarial network with a…

Fluid Dynamics · Physics 2022-01-05 Mustafa Z. Yousif , Linqi Yu , HeeChang Lim

Likelihood-based deep generative models have been widely investigated for Image Anomaly Detection (IAD), particularly Normalizing Flows, yet their strict architectural invertibility needs often constrain scalability, particularly in…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Liangwei Li , Lin Liu , Hanzhe Liang , Juanxiu Liu , Jing Zhang , Ruqian Hao , Xiaohui Du , Yong Liu , Pan Li

We apply the phase-reduction analysis to examine synchronization properties of periodic fluid flows. The dynamics of unsteady flows are described in terms of the phase dynamics reducing the high-dimensional fluid flow to its single scalar…

Fluid Dynamics · Physics 2018-05-23 Kunihiko Taira , Hiroya Nakao

Motivated by nonconvex, inconsistent feasibility problems in imaging, the relaxed alternating averaged reflections algorithm, or relaxed Douglas-Rachford algorithm (DR$\lambda$), was first proposed over a decade ago. Convergence results for…

Optimization and Control · Mathematics 2020-03-26 D. Russell Luke , Anna-Lena Martins

We propose a new model for networks of time series that influence each other. Graph structures among time series are found in diverse domains, such as web traffic influenced by hyperlinks, product sales influenced by recommendation, or…

Social and Information Networks · Computer Science 2021-02-16 Alasdair Tran , Alexander Mathews , Cheng Soon Ong , Lexing Xie

Training expressive flow-based policies with off-policy reinforcement learning is notoriously unstable due to gradient pathologies in the multi-step action sampling process. We trace this instability to a fundamental connection: the flow…

Robotics · Computer Science 2026-01-15 Yixian Zhang , Shu'ang Yu , Tonghe Zhang , Mo Guang , Haojia Hui , Kaiwen Long , Yu Wang , Chao Yu , Wenbo Ding

Federated learning (FL) has become de facto framework for collaborative learning among edge devices with privacy concern. The core of the FL strategy is the use of stochastic gradient descent (SGD) in a distributed manner. Large scale…

Machine Learning · Computer Science 2022-05-18 Kerem Ozfatura , Emre Ozfatura , Deniz Gunduz