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This study proposes a unified forecasting framework for high-dimensional multi-task time series to meet the prediction demands of cloud native backend systems operating under highly dynamic loads, coupled metrics, and parallel tasks. The…

Machine Learning · Computer Science 2025-12-25 Zixiao Huang , Jixiao Yang , Sijia Li , Chi Zhang , Jinyu Chen , Chengda Xu

A machine learning method to predict steady external fluid flows using elliptic input features is introduced. Using data from as few as one high-fidelity simulation, the proposed method produces models generalizable under changes to…

Despite great successes, model predictive control (MPC) relies on an accurate dynamical model and requires high onboard computational power, impeding its wider adoption in engineering systems, especially for nonlinear real-time systems with…

Systems and Control · Electrical Eng. & Systems 2023-07-03 Amin Vahidi-Moghaddam , Kaian Chen , Kaixiang Zhang , Zhaojian Li , Yan Wang , Kai Wu

Many dynamical systems can be described in terms of structured flows combining source/sink behavior, cyclic dynamics, and topology-constrained transport. These features arise across a wide range of domains, including physical, engineered,…

Data Analysis, Statistics and Probability · Physics 2026-05-19 Diego Casadei

We present a novel physics-informed deep learning framework for solving steady-state incompressible flow on multiple sets of irregular geometries by incorporating two main elements: using a point-cloud based neural network to capture…

Fluid Dynamics · Physics 2022-10-28 Ali Kashefi , Tapan Mukerji

Air turbulence refers to the disordered and irregular motion state generated by drastic changes in velocity, pressure, or direction during airflow. Various complex factors lead to intricate low-altitude turbulence outcomes. Under current…

Machine Learning · Computer Science 2025-12-08 Yingang Fan , Binjie Ding , Baiyi Chen

The modeling of turbulence, whether it be numerical or analytical, is a difficult challenge. Turbulence is amenable to analysis with linear theory if it is subject to rapid distortions, i.e., motions occurring on a time scale that is short…

High Energy Astrophysical Phenomena · Physics 2015-06-19 Bryan M. Johnson

We propose a unified approach to the formal long-wave reduction of several fluid models for thin-layer incompressible homogeneous flows driven by a constant external force like gravity. The procedure is based on a mathematical coherence…

Numerical Analysis · Mathematics 2013-06-17 François Bouchut , Sébastien Boyaval

Addressing complex meteorological processes at a fine spatial resolution requires substantial computational resources. To accelerate meteorological simulations, researchers have utilized neural networks to downscale meteorological variables…

Atmospheric and Oceanic Physics · Physics 2024-04-30 Jing Hu , Honghu Zhang , Peng Zheng , Jialin Mu , Xiaomeng Huang , Xi Wu

Partial differential equation (PDE) simulation holds extensive significance in scientific research. Currently, the integration of deep neural networks to learn solution operators of PDEs has introduced great potential. In this paper, we…

Machine Learning · Computer Science 2026-03-25 Haosen Li , Qi Meng , Jiahao Li , Rui Zhang , Ruihua Song , Liang Ma , Zhi-Ming Ma

Turbulence modeling remains a longstanding challenge in fluid dynamics. Recent advances in data-driven methods have led to a surge of novel approaches aimed at addressing this problem. This work builds upon our recent work [Phys. Rev.…

Fluid Dynamics · Physics 2026-02-24 André Freitas , Kiwon Um , Mathieu Desbrun , Michele Buzzicotti , Luca Biferale

Data-driven methods have demonstrated strong predictive capabilities in fluid mechanics, yet most current applications still focus on simplified configurations, often characterised by statistical stationarity or limited temporal…

Fluid Dynamics · Physics 2025-11-21 Miguel M. Valero , Marcello Meldi

Turbulence constitutes an exceptionally complex and irregular flow phenomenon that manifests in liquids, gases, and plasma, making it ubiquitous in both natural processes and engineering applications. Given the relatively modest…

Fluid Dynamics · Physics 2025-07-08 Ziqi Ji , Penghao Duan , Gang Du

The turbulence field is stacked on the laminar flow. In this research, the laminar flow is described as a macro deformation which forms an instant curvature space. On such a curvature space, the turbulence is viewed as a micro deformation.…

General Physics · Physics 2009-03-17 Xiao Jianhua

'Data' plays a central role in data-driven methods, but is not often the subject of focus in investigations of machine learning algorithms as applied to Earth System Modeling related problems. Here we consider the case of eddy-mean…

Atmospheric and Oceanic Physics · Physics 2023-07-04 F. E. Yan , J. Mak , Y. Wang

We present a publicly accessible database designed to aid in the conception, training, demonstration, evaluation, and comparison of reduced-complexity models for fluid mechanics. Availability of high-quality flow data is essential for all…

Reconstructions of Lagrangian drift, for example for objects lost at sea, are often uncertain due to unresolved physical phenomena within the data. Uncertainty is usually overcome by introducing stochasticity into the drift, but this…

As multimodal data proliferates across diverse real-world applications, leveraging heterogeneous information such as texts and timestamps for accurate time series forecasting (TSF) has become a critical challenge. While diffusion models…

Machine Learning · Computer Science 2025-12-09 Da Zhang , Bingyu Li , Zhuyuan Zhao , Junyu Gao , Feiping Nie , Xuelong Li

The influence of rough surfaces on fluid flow is characterized by the downward shift in the logarithmic layer of velocity and temperature profiles, namely the velocity roughness function $\Delta U^+$ and the corresponding temperature…

Fluid Dynamics · Physics 2025-02-20 Simon Dalpke , Jiasheng Yang , Pourya Forooghi , Bettina Frohnapfel , Alexander Stroh

The study of many-body quantum dynamics in strongly-correlated systems is extremely challenging. To date few numerical methods exist which are capable of simulating the non-equilibrium dynamics of two-dimensional quantum systems, in part…

Quantum Physics · Physics 2024-09-17 S. J. Thomson , J. Eisert
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