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Data-driven discovery of model equations is a powerful approach for understanding the behavior of dynamical systems in many scientific fields. In particular, the ability to learn mathematical models from data would benefit systems biology,…

机器学习 · 计算机科学 2025-11-04 G. Pillonetto , A. Giaretta , A. Aravkin , M. Bisiacco , T. Elston

In high-energy physics, precise measurements rely on highly reliable detector simulations. Traditionally, these simulations involve incorporating experiment data to model detector responses and fine-tuning them. However, due to the…

高能物理 - 实验 · 物理学 2024-01-08 Wenxing Fang , Weidong Li , Xiaobin Ji , Shengsen Sun , Tong Chen , Fang Liu , Xiaoling Li , Kai Zhu , Tao Lin , Jinfa Qiu

Current design constraints have encouraged the studies of aeroacoustic fields around compressible jet flows. The present work addresses the numerical study of unsteady turbulent jet flows as a preparation for future aeroacoustic analyses of…

流体动力学 · 物理学 2023-01-13 Sami Yamouni , Carlos Junqueira-Junior , Joao Luiz F. Azevedo , William R. Wolf

We propose a sparse regression method capable of discovering the governing partial differential equation(s) of a given system by time series measurements in the spatial domain. The regression framework relies on sparsity promoting…

斑图形成与孤子 · 物理学 2016-09-22 Samuel H. Rudy , Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

The Dynamic-Mode Decomposition (DMD) is a well established data-driven method of finding temporally evolving linear-mode decompositions of nonlinear time series. Traditionally, this method presumes that all relevant dimensions are sampled…

动力系统 · 数学 2021-01-13 Christopher W. Curtis , Daniel Jay Alford-Lago

There is a broad need in the neuroscience community to understand and visualize large-scale recordings of neural activity, big data acquired by tens or hundreds of electrodes simultaneously recording dynamic brain activity over minutes to…

神经元与认知 · 定量生物学 2015-11-24 Bingni W. Brunton , Lise A. Johnson , Jeffrey G. Ojemann , J. Nathan Kutz

Deformable tracking and real-time estimation of 3D tissue motion is essential to enable automation and image guidance applications in robotically assisted surgery. Our model, Sparse Efficient Neural Depth and Deformation (SENDD), extends…

计算机视觉与模式识别 · 计算机科学 2023-09-27 Adam Schmidt , Omid Mohareri , Simon DiMaio , Septimiu E. Salcudean

Harmonic instability occurs frequently in the power electronic converter system. This paper leverages multi-resolution dynamic mode decomposition (MR-DMD) as a data-driven diagnostic tool for the system stability of power electronic…

信号处理 · 电气工程与系统科学 2024-04-16 Rui Kong , Subham Sahoo , Yongjie Liu , Frede Blaabjerg

We present a novel data-driven algorithm to synthesize high-resolution flow simulations with reusable repositories of space-time flow data. In our work, we employ a descriptor learning approach to encode the similarity between fluid regions…

图形学 · 计算机科学 2017-07-26 Mengyu Chu , Nils Thuerey

Inverse problems, which involve estimating parameters from incomplete or noisy observations, arise in various fields such as medical imaging, geophysics, and signal processing. These problems are often ill-posed, requiring regularization…

图像与视频处理 · 电气工程与系统科学 2026-03-03 Shadab Ahamed , Eldad Haber

Traffic sampling has become an indispensable tool in network management. While there exists a plethora of sampling systems, they generally assume flow rates are stable and predictable over a sampling period. Consequently, when deployed in…

网络与互联网体系结构 · 计算机科学 2024-09-11 Soroosh Esmaeilian , Mahdi Dolati , Sogand Sadrhaghighi , Majid Ghaderi

Understanding airflow around a drone is critical for performing advanced maneuvers while maintaining flight stability. Recent research has worked to understand this flow by employing 2D and 3D flow sensors to measure flow from a single…

机器人学 · 计算机科学 2024-12-20 Teresa A. Kent , Sarah Bergbreiter

Data-driven dimensionality reduction methods such as proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) have proven to be useful for exploring complex phenomena within fluid dynamics and beyond. A well-known…

流体动力学 · 物理学 2022-12-27 Elena Marensi , Gökhan Yalnız , Björn Hof , Nazmi Burak Budanur

Dynamic Mode Decomposition (DMD) yields a linear, approximate model of a system's dynamics that is built from data. We seek to reduce the order of this model by identifying a reduced set of modes that best fit the output. We adopt a model…

机器学习 · 统计学 2020-01-20 John Graff , Xianzhang Xu , Francis D. Lagor , Tarunraj Singh

This note proposes a simple and general framework of dynamic mode decomposition (DMD) and a mode selection for large datasets. The proposed framework explicitly introduces a preconditioning step using an incremental proper orthogonal…

流体动力学 · 物理学 2017-08-02 Yuya Ohmichi

An adaptive sampling approach for efficient detection of bifurcation boundaries in parametrized fluid flow problems is presented herein. The study extends the machine-learning approach of Silvester~(J. Comput. Phys., 553 (2026), 114743),…

流体动力学 · 物理学 2026-02-19 Anshima Singh , David J. Silvester

This paper explores a novel data-driven approach based on recent developments in Koopman operator theory and dynamic mode decomposition (DMD) for modeling signalized intersections. Vehicular flow and queue formation on signalized…

系统与控制 · 电气工程与系统科学 2021-07-15 Kazi Redwan Shabab , Shakib Mustavee , Shaurya Agarwal , Mohamed H. Zaki , Sajal Das

The ability to discover physical laws and governing equations from data is one of humankind's greatest intellectual achievements. A quantitative understanding of dynamic constraints and balances in nature has facilitated rapid development…

动力系统 · 数学 2016-04-27 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

A novel data-driven method of modal analysis for complex flow dynamics, termed as reduced-order variational mode decomposition (RVMD), has been proposed, combining the idea of the separation of variables and a state-of-the-art nonstationary…

流体动力学 · 物理学 2022-09-27 Zi-Mo Liao , Zhiye Zhao , Liang-Bing Chen , Zhen-Hua Wan , Nan-Sheng Liu , Xi-Yun Lu

Motion estimation is a fundamental step in dynamic medical image processing for the assessment of target organ anatomy and function. However, existing image-based motion estimation methods, which optimize the motion field by evaluating the…

图像与视频处理 · 电气工程与系统科学 2021-11-09 Yuyu Guo , Lei Bi , Dongming Wei , Liyun Chen , Zhengbin Zhu , Dagan Feng , Ruiyan Zhang , Qian Wang , Jinman Kim