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We propose the physics-constrained convolutional neural network (PC-CNN) to infer the high-resolution solution from sparse observations of spatiotemporal and nonlinear partial differential equations. Results are shown for a chaotic and…

流体动力学 · 物理学 2023-06-21 Daniel Kelshaw , Luca Magri

Most real-world datasets, and particularly those collected from physical systems, are full of noise, packet loss, and other imperfections. However, most specification mining, anomaly detection and other such algorithms assume, or even…

机器学习 · 计算机科学 2019-04-12 Ilia Sucholutsky , Apurva Narayan , Matthias Schonlau , Sebastian Fischmeister

Text recognition methods are gaining rapid development. Some advanced techniques, e.g., powerful modules, language models, and un- and semi-supervised learning schemes, consecutively push the performance on public benchmarks forward.…

计算机视觉与模式识别 · 计算机科学 2024-01-01 Ziyin Zhang , Ning Lu , Minghui Liao , Yongshuai Huang , Cheng Li , Min Wang , Wei Peng

Limited-angle tomography of strongly scattering quasi-transparent objects is a challenging, highly ill-posed problem with practical implications in medical and biological imaging, manufacturing, automation, and environmental and food…

图像与视频处理 · 电气工程与系统科学 2024-08-15 Iksung Kang , Alexandre Goy , George Barbastathis

Time series forecasting is prevalent in various real-world applications. Despite the promising results of deep learning models in time series forecasting, especially the Recurrent Neural Networks (RNNs), the explanations of time series…

机器学习 · 计算机科学 2023-08-29 Chaoqun Wang , Yijun Li , Xiangqian Sun , Qi Wu , Dongdong Wang , Zhixiang Huang

Since 2016, deep learning (DL) has advanced tomographic imaging with remarkable successes, especially in low-dose computed tomography (LDCT) imaging. Despite being driven by big data, the LDCT denoising and pure end-to-end reconstruction…

图像与视频处理 · 电气工程与系统科学 2023-03-28 Wenjun Xia , Hongming Shan , Ge Wang , Yi Zhang

Reconstructing high-fidelity fluid dynamics from sparse temporal observations is quite challenging, mainly due to the chaotic and non-linear nature of fluid transport. Standard deep learning-based interpolation methods often tend to regress…

流体动力学 · 物理学 2026-04-28 Eshwar R. A. , Nevin Mathew Thomas , Nehal G , Farida M. Begam

There have been growing interests in leveraging experimental measurements to discover the underlying partial differential equations (PDEs) that govern complex physical phenomena. Although past research attempts have achieved great success…

机器学习 · 计算机科学 2023-05-23 Chengping Rao , Pu Ren , Yang Liu , Hao Sun

This work concerns control-oriented and structure-preserving learning of low-dimensional approximations of high-dimensional physical systems, with a focus on mechanical systems. We investigate the integration of neural autoencoders in model…

机器学习 · 计算机科学 2023-12-12 Marco Lepri , Davide Bacciu , Cosimo Della Santina

Computational modeling is a key resource to gather insight into physical systems in modern scientific research and engineering. While access to large amount of data has fueled the use of Machine Learning (ML) to recover physical models from…

机器学习 · 计算机科学 2023-12-06 Simone Manti , Alessandro Lucantonio

In this article, we present a method to reconstruct the topology of a partially observed radial network of linear dynamical systems with bi-directional interactions. Our approach exploits the structure of the inverse power spectral density…

系统与控制 · 计算机科学 2018-07-13 Saurav Talukdar , Deepjyoti Deka , Michael Chertkov , Murti Salapaka

Model-based controllers can offer strong guarantees on stability and convergence by relying on physically accurate dynamic models. However, these are rarely available for high-dimensional mechanical systems such as deformable objects or…

机器人学 · 计算机科学 2026-02-10 Katharina Friedl , Noémie Jaquier , Seungyeon Kim , Jens Lundell , Danica Kragic

Dispersion of low-density rigid particles with complex geometries is ubiquitous in both natural and industrial environments. We show that while explicit methods for coupling the incompressible Navier-Stokes equations and Newton's equations…

计算物理 · 物理学 2015-11-06 Uǧis Lācis , Kunihiko Taira , Shervin Bagheri

Rapid advances in sensor, wireless communication, cloud computing and data science have brought unprecedented amount of data to assist transportation engineers and researchers in making better decisions. However, traffic data in reality…

机器学习 · 统计学 2022-06-02 Tong Nie , Guoyang Qin , Jian Sun

Traditional computational fluid dynamics and physics-informed neural networks (PINNs) often suffer from high computational cost, mesh sensitivity, and reduced accuracy for strongly nonlinear and time-dependent flows. To address these…

流体动力学 · 物理学 2026-05-21 Biswanath Barman , Debdeep Chatterjee , Rajendra K. Ray

Physics-constrained neural networks are commonly employed to enhance prediction robustness compared to purely data-driven models, achieved through the inclusion of physical constraint losses during the model training process. However, one…

机器学习 · 计算机科学 2024-02-06 Hao Zhou , Sibo Cheng , Rossella Arcucci

Many engineered as well as naturally occurring dynamical systems do not have an accurate mathematical model to describe their dynamic behavior. However, in many applications, it is possible to probe the system with external inputs and…

最优化与控制 · 数学 2020-04-24 Vignesh Narayanan , Wei Miao , Jr-Shin Li

Numerical simulations on fluid dynamics problems primarily rely on spatially or/and temporally discretization of the governing equation into the finite-dimensional algebraic system solved by computers. Due to complicated nature of the…

计算物理 · 物理学 2021-07-23 Luning Sun , Han Gao , Shaowu Pan , Jian-Xun Wang

The robotic systems continuously interact with complex dynamical systems in the physical world. Reliable predictions of spatiotemporal evolution of these dynamical systems, with limited knowledge of system dynamics, are crucial for…

人工智能 · 计算机科学 2019-01-08 Yun Long , Xueyuan She , Saibal Mukhopadhyay

Deep learning algorithms provide a new paradigm to study high-dimensional dynamical behaviors, such as those in fusion plasma systems. Development of novel model reduction methods, coupled with detection of abnormal modes with plasma…

计算物理 · 物理学 2024-04-29 Zhe Bai , Xishuo Wei , William Tang , Leonid Oliker , Zhihong Lin , Samuel Williams