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Multi-task learning through composite loss functions is fundamental to modern deep learning, yet optimizing competing objectives remains challenging. We present new theoretical and practical approaches for addressing directional conflicts…

Machine Learning · Computer Science 2025-09-22 Sifan Wang , Ananyae Kumar Bhartari , Bowen Li , Paris Perdikaris

Accurate air quality forecasting is crucial for public health, environmental monitoring and protection, and urban planning. However, existing methods fail to effectively utilize multi-scale information, both spatially and temporally.…

Machine Learning · Computer Science 2024-01-02 Yuxiao Hu , Qian Li , Xiaodan Shi , Jinyue Yan , Yuntian Chen

As a typical application of deep learning, physics-informed neural network (PINN) {has been} successfully used to find numerical solutions of partial differential equations (PDEs), but how to improve the limited accuracy is still a great…

Machine Learning · Computer Science 2022-08-09 Zhi-Yong Zhang , Hui Zhang , Li-Sheng Zhang , Lei-Lei Guo

The strongly-constrained physics-informed neural network (SCPINN) is proposed by adding the information of compound derivative embedded into the soft-constraint of physics-informed neural network(PINN). It is used to predict nonlinear…

Pattern Formation and Solitons · Physics 2022-11-30 Yin Fang , Wen-Bo Bo , Ru-Ru Wang , Yue-Yue Wang , Chao-Qing Dai

Spatiotemporal kriging is an important application in spatiotemporal data analysis, aiming to recover/interpolate signals for unsampled/unobserved locations based on observed signals. The principle challenge for spatiotemporal kriging is…

Machine Learning · Computer Science 2021-09-28 Yuankai Wu , Dingyi Zhuang , Mengying Lei , Aurelie Labbe , Lijun Sun

Physics-Informed Neural Networks (PINNs) provide a framework for integrating physical laws with data. However, their application to Prognostics and Health Management (PHM) remains constrained by the limited uncertainty quantification (UQ)…

Machine Learning · Computer Science 2026-01-08 Ibai Ramirez , Jokin Alcibar , Joel Pino , Mikel Sanz , Jose I. Aizpurua

The next generation of radio astronomy telescopes are challenging existing data analysis paradigms, as they have an order of magnitude more antennas and larger bandwidth. Foremost amongst these are deep spectral line surveys, because these…

Reconstructing high-dimensional spatiotemporal fields from sparse point-sensor measurements is a central challenge in learning parametric PDE dynamics. Existing approaches often struggle to generalize across trajectories and parameter…

Machine Learning · Computer Science 2026-02-05 Yanjie Tong , Peng Chen

Data-driven control algorithms use observations of system dynamics to construct an implicit model for the purpose of control. However, in practice, data-driven techniques often require excessive sample sizes, which may be infeasible in…

Systems and Control · Electrical Eng. & Systems 2023-01-10 Adam J. Thorpe , Cyrus Neary , Franck Djeumou , Meeko M. K. Oishi , Ufuk Topcu

Ecological systems exhibit complex multi-scale dynamics that challenge traditional modeling. New methods must capture temporal oscillations and emergent spatiotemporal patterns while adhering to conservation principles. We present the…

Machine Learning · Computer Science 2025-09-24 Julian Evan Chrisnanto , Salsabila Rahma Alia , Yulison Herry Chrisnanto , Ferry Faizal

Satellite aerosol products have been widely used to retrieve ground PM2.5 concentration because of its wide coverage and continuously spatial distribution. While more and more studies focus on the retrieval algorithm, we find that the…

Geophysics · Physics 2018-08-20 Qianqian Yang , Qiangqiang Yuan , Linwei Yue , Tongwen Li , Huanfeng Shen , Liangpei Zhang

Surrogate modeling is used to replace computationally expensive simulations. Neural networks have been widely applied as surrogate models that enable efficient evaluations over complex physical systems. Despite this, neural networks are…

Machine Learning · Computer Science 2024-02-13 Hao Chen , Gonzalo E. Constante Flores , Can Li

This paper introduces scour physics-inspired neural networks (SPINNs), a hybrid physics-data-driven framework for bridge scour prediction using deep learning. SPINNs integrate physics-based, empirical equations into deep neural networks and…

Machine Learning · Computer Science 2024-09-11 Negin Yousefpour , Bo Wang

Efficient simulation of Laser Powder Bed Fusion (LPBF) is crucial for process prediction due to the lasting issue of high computational cost associated with traditional numerical methods such as finite element analysis (FEA). While a…

Machine Learning · Computer Science 2026-05-25 R. Sharma , Y. B. Guo

Ambient air pollution remains a critical issue in the United Kingdom, where data on air pollution concentrations form the foundation for interventions aimed at improving air quality. However, the current air pollution monitoring station…

Applications · Statistics 2024-01-18 Liam J Berrisford , Lucy S Neal , Helen J Buttery , Benjamin R Evans , Ronaldo Menezes

In many scientific and engineering (e.g., physical, biochemical, medical) practices, data generated through expensive experiments or large-scale simulations, are often sparse and noisy. Physics-informed neural network (PINN) incorporates…

Machine Learning · Computer Science 2025-10-21 Kai-liang Lu

This paper introduces Quantum Orthogonal Separable Physics-Informed Neural Networks (QO-SPINNs), a novel architecture for solving Partial Differential Equations, integrating quantum computing principles to address the computational…

Quantum Physics · Physics 2025-11-18 Pietro Zanotta , Ljubomir Budinski , Caglar Aytekin , Valtteri Lahtinen

Spatial time series imputation is critically important to many real applications such as intelligent transportation and air quality monitoring. Although recent transformer and diffusion model based approaches have achieved significant…

Machine Learning · Computer Science 2023-09-06 Shunyang Zhang , Senzhang Wang , Xianzhen Tan , Ruochen Liu , Jian Zhang , Jianxin Wang

Physics-Informed Neural Networks (PINNs) have gained popularity in solving nonlinear partial differential equations (PDEs) via integrating physical laws into the training of neural networks, making them superior in many scientific and…

Machine Learning · Computer Science 2023-08-15 Milad Ramezankhani , Abbas S. Milani

Accurate acquisition of surface meteorological conditions at arbitrary locations holds significant importance for weather forecasting and climate simulation. Due to the fact that meteorological states derived from satellite observations are…

Machine Learning · Computer Science 2025-02-13 Siwei Tu , Ben Fei , Weidong Yang , Fenghua Ling , Hao Chen , Zili Liu , Kun Chen , Hang Fan , Wanli Ouyang , Lei Bai
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