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This study presents the conditional neural fields for reduced-order modeling (CNF-ROM) framework to approximate solutions of parametrized partial differential equations (PDEs). The approach combines a parametric neural ODE (PNODE) for…

Numerical Analysis · Mathematics 2024-12-09 Minji Kim , Tianshu Wen , Kookjin Lee , Youngsoo Choi

The wind-tunnel experiment plays a critical role in the design and development phases of modern aircraft, which is limited by prohibitive cost. In contrast, numerical simulation, as an important alternative paradigm, mimics complex flow…

Fluid Dynamics · Physics 2021-09-30 Kai Li , Jiaqing Kou , Weiwei Zhang

Data-driven models (DDM) based on machine learning and other AI techniques play an important role in the perception of increasingly autonomous systems. Due to the merely implicit definition of their behavior mainly based on the data used…

Software Engineering · Computer Science 2022-06-15 Janek Groß , Rasmus Adler , Michael Kläs , Jan Reich , Lisa Jöckel , Roman Gansch

Fractional-order differential equations (FDEs) enhance traditional differential equations by extending the order of differential operators from integers to real numbers, offering greater flexibility in modeling complex dynamical systems…

Machine Learning · Computer Science 2025-03-24 Qiyu Kang , Xuhao Li , Kai Zhao , Wenjun Cui , Yanan Zhao , Weihua Deng , Wee Peng Tay

Simple models have been used to describe ecological processes for over a century. However, the complexity of ecological systems makes simple models subject to modeling bias due to simplifying assumptions or unaccounted factors, limiting…

Quantitative Methods · Quantitative Biology 2024-01-24 Jorge Arroyo-Esquivel , Christopher A Klausmeier , Elena Litchman

Urban Air Mobility (UAM) is an emerging application of unmanned aerial vehicles that promises to reduce travel time and alleviate congestion in urban transportation systems. As drone density increases, UAM traffic is expected to experience…

Robotics · Computer Science 2026-03-03 Hang Zhou , Yuhui Zhai , Shiyu Shen , Yanfeng Ouyang , Xiaowei Shi , Xiaopeng Li

In several problems involving fluid flows, Computational Fluid Dynamics (CFD) provides detailed quantitative information, and often allows the designer to successfully optimize the system, by minimizing a cost function. Sometimes, however,…

We propose a data-driven framework for learning reduced-order moment dynamics from PDE-governed systems using Neural ODEs. In contrast to derivative-based methods like SINDy, which necessitate densely sampled data and are sensitive to…

Pattern Formation and Solitons · Physics 2025-06-06 Shaoxuan Chen , Su Yang , Panayotis G. Kevrekidis , Wei Zhu

Flight delays are a significant challenge in the aviation industry, causing major financial and operational disruptions. To improve passenger experience and reduce revenue loss, flight delay prediction models must be both precise and…

The present paper develops a reduced-order model capable of modeling unsteady aerodynamic loads in the transonic regime using system identification techniques. The computational fluid dynamics (CFD) calculations are based on the Euler…

Fluid Dynamics · Physics 2023-07-20 Ana Cristina Neves Carloni , João Luiz F. Azevedo

The increasing focus on long-term time series prediction across various fields has been significantly strengthened by advancements in quantum computation. In this paper, we introduce a data-driven method designed for time series prediction…

Neural Ordinary Differential Equations (NODEs), a framework of continuous-depth neural networks, have been widely applied, showing exceptional efficacy in coping with representative datasets. Recently, an augmented framework has been…

Machine Learning · Computer Science 2023-04-12 Qunxi Zhu , Yao Guo , Wei Lin

Agile quadrotor flight relies on rapidly planning and accurately tracking time-optimal trajectories, a technology critical to their application in the wild. However, the computational burden of computing time-optimal trajectories based on…

Robotics · Computer Science 2023-05-05 Ziyu Zhou , Gang Wang , Jian Sun , Jikai Wang , Jie Chen

As autonomous driving technology progresses, the need for precise trajectory prediction models becomes paramount. This paper introduces an innovative model that infuses cognitive insights into trajectory prediction, focusing on perceived…

Orthogonal Frequency Division Multiplexing (OFDM) is the dominant waveform in modern wireless systems, but suffers performance degradation in high-mobility environments due to Doppler-induced inter-carrier interference and unreliable…

Information Theory · Computer Science 2026-04-17 S. Ashwin Hebbar , Sravan Kumar Ankireddy , Harshithanjani Athi , Brandon Nguyen , Pramod Viswanath , Hyeji Kim

Monitoring the in-service aerodynamic performance of airliners is critical for operational efficiency and safety, but using operational Quick Access Recorder (QAR) data for this purpose presents significant challenges. This paper first…

Systems and Control · Electrical Eng. & Systems 2026-04-30 Ruiying Wen , Yuntao Dai , Hongyong Wang

Obtaining predictive low-order models is a central challenge in fluid dynamics. Data-driven frameworks have been widely used to obtain low-order models of aerodynamic systems; yet, resulting models tend to yield predictions that grow…

In complex physical systems, conventional differential equations often fall short in capturing non-local and memory effects, as they are limited to local dynamics and integer-order interactions. This study introduces a stepwise data-driven…

Computational Physics · Physics 2025-05-30 Xiangnan Yu , Hao Xu , Zhiping Mao , HongGuang Sun , Yong Zhang , Dongxiao Zhang , Yuntian Chen

This paper presents a method for generating probabilistic descent trajectories in simulations of real-world airspace. A dataset of 116,066 trajectories harvested from Mode S radar returns in UK airspace was used to train and test the model.…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Amy Hodgkin , Nick Pepper , Marc Thomas

A nonlinear-manifold reduced order model (NM-ROM) is a great way of incorporating underlying physics principles into a neural network-based data-driven approach. We combine NM-ROMs with domain decomposition (DD) for efficient computation.…

Numerical Analysis · Mathematics 2023-12-04 Alejandro N. Diaz , Youngsoo Choi , Matthias Heinkenschloss
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