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A fundamental challenge in developing data-driven approaches to ecological systems for tasks such as state estimation and prediction is the paucity of the observational or measurement data. For example, modern machine-learning techniques…

Quantitative Methods · Quantitative Biology 2024-10-11 Zheng-Meng Zhai , Bryan Glaz , Mulugeta Haile , Ying-Cheng Lai

Physics-informed neural networks (PINNs), owing to their mesh-free nature, offer a powerful approach for solving high-dimensional partial differential equations (PDEs) in complex geometries, including irregular domains. This capability…

Numerical Analysis · Mathematics 2025-06-06 Hanfei Zhou , Lei Shi

Extreme environmental events such as severe storms, drought, heat waves, flash floods, and abrupt species collapse have become more prevalent in the earth-atmosphere dynamic system in recent years. In order to fully understand the…

Methodology · Statistics 2025-08-05 Myungsoo Yoo , Likun Zhang , Christopher K. Wikle , Thomas Opitz

Seismic wave forward and inverse modeling are fundamental tools for subsurface imaging and geological hazard assessment. Conventional grid-based numerical methods, such as finite-difference and finite-element approaches, often require dense…

Geophysics · Physics 2026-01-23 Chaohua Liang , Xingliang Peng , Jun Matsushima

Neural networks (NNs) accelerate simulations of quantum dissipative dynamics. Ensuring that these simulations adhere to fundamental physical laws is crucial, but has been largely ignored in the state-of-the-art NN approaches. We show that…

Chemical Physics · Physics 2024-09-06 Arif Ullah , Yu Huang , Ming Yang , Pavlo O. Dral

Traditional data-driven deep learning models often struggle with high training costs, error accumulation, and poor generalizability in complex physical processes. Physics-informed deep learning (PiDL) addresses these challenges by…

Machine Learning · Computer Science 2024-01-17 Xin-Yang Liu , Min Zhu , Lu Lu , Hao Sun , Jian-Xun Wang

Recent 3D Gaussian Splatting (3DGS) techniques for Visual Simultaneous Localization and Mapping (SLAM) have significantly progressed in tracking and high-fidelity mapping. However, their sequential optimization framework and sensitivity to…

Robotics · Computer Science 2026-02-13 Wancai Zheng , Linlin Ou , Jiajie He , Libo Zhou , Xinyi Yu , Yan Wei

Accurate forecasting of industrial time series requires balancing predictive accuracy with physical plausibility under non-stationary operating conditions. Existing data-driven models often achieve strong statistical performance but…

Machine Learning · Computer Science 2026-05-20 Yeran Zhang , Pengwei Yang , Guoqing Wang , Tianyu Li

Accurate and efficient seismic response prediction is essential for the design of resilient structures. While the Finite Element Method (FEM) remains the standard for nonlinear seismic analysis, its high computational demands limit its…

Machine Learning · Computer Science 2026-03-06 Sutirtha Biswas , Kshitij Kumar Yadav

Linear control models have gained extensive application in vehicle control due to their simplicity, ease of use, and support for stability analysis. However, these models lack adaptability to the changing environment and multi-objective…

Artificial Intelligence · Computer Science 2024-09-25 Keke Long , Haotian Shi , Yang Zhou , Xiaopeng Li

Ocean current, fluid mechanics, and many other spatio-temporal physical dynamical systems are essential components of the universe. One key characteristic of such systems is that certain physics laws -- represented as ordinary/partial…

Machine Learning · Computer Science 2021-08-16 Yu Huang , James Li , Min Shi , Hanqi Zhuang , Xingquan Zhu , Laurent Chérubin , James VanZwieten , Yufei Tang

Physics-informed neural networks (PINNs), rooted in deep learning, have emerged as a promising approach for solving partial differential equations (PDEs). By embedding the physical information described by PDEs into feedforward neural…

Machine Learning · Computer Science 2024-01-26 Yanzhi Liu , Ruifan Wu , Ying Jiang

Understanding complex systems with their reduced model is one of the central roles in scientific activities. Although physics has greatly been developed with the physical insights of physicists, it is sometimes challenging to build a…

Data Analysis, Statistics and Probability · Physics 2021-03-24 Yoh-ichi Mototake

Learning dynamical systems from incomplete or noisy data is inherently ill-posed, as a single observation may correspond to multiple plausible futures. While physics-based ensemble forecasting relies on perturbing initial states to capture…

Machine Learning · Computer Science 2026-02-27 Siddharth Rout , Eldad Haber , Stephane Gaudreault

In the study of complex dynamical systems, understanding and accurately modeling the underlying physical processes is crucial for predicting system behavior and designing effective interventions. Yet real-world systems exhibit pronounced…

Machine Learning · Statistics 2025-07-15 Ridwan Olabiyi , Han Hu , Ashif Iquebal

Imitation Learning (IL), also referred to as Learning from Demonstration (LfD), holds significant promise for capturing expert motor skills through efficient imitation, facilitating adept navigation of complex scenarios. A persistent…

Robotics · Computer Science 2024-04-01 Yingbai Hu , Fares J. Abu-Dakka , Fei Chen , Xiao Luo , Zheng Li , Alois Knoll , Weiping Ding

Physics-informed neural networks (PINNs) have been widely used to solve various scientific computing problems. However, large training costs limit PINNs for some real-time applications. Although some works have been proposed to improve the…

Machine Learning · Computer Science 2022-06-14 Xu Liu , Xiaoya Zhang , Wei Peng , Weien Zhou , Wen Yao

Quantum systems governed by time-dependent Hamiltonians pose significant challenges for the accurate computation of unitary time-evolution operators, which are essential for predicting quantum state dynamics. In this work, we introduce a…

Quantum Physics · Physics 2026-01-21 Antonio Guerra , Daniel Uzcategui-Contreras , Aldo Delgado , Esteban S. Gómez

This study presents a discrete physics-informed neural network (dPINN) framework, enhanced with enforced interface constraints (EIC), for modeling physical systems using the domain decomposition method (DDM). Built upon finite element-style…

Computational Engineering, Finance, and Science · Computer Science 2025-05-19 Jichao Yin , Mingxuan Li , Jianguang Fang , Hu Wang

Physics-informed neural networks (PINNs) provide a powerful framework for learning governing equations of dynamical systems from data. Biologically-informed neural networks (BINNs) are a variant of PINNs that preserve the known differential…

Machine Learning · Computer Science 2026-04-21 William Lavery , Jodie A. Cochrane , Christian Olesen , Dagim S. Tadele , John T. Nardini , Sara Hamis
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