English
Related papers

Related papers: PIAD-SRNN: Physics-Informed Adaptive Decomposition…

200 papers

In recent years, numerous Transformer-based models have been applied to long-term time-series forecasting (LTSF) tasks. However, recent studies with linear models have questioned their effectiveness, demonstrating that simple linear layers…

Machine Learning · Computer Science 2024-08-20 Jiaheng Yin , Zhengxin Shi , Jianshen Zhang , Xiaomin Lin , Yulin Huang , Yongzhi Qi , Wei Qi

Multivariate time series prediction has applications in a wide variety of domains and is considered to be a very challenging task, especially when the variables have correlations and exhibit complex temporal patterns, such as seasonality…

Machine Learning · Computer Science 2020-01-07 Yuya Jeremy Ong , Mu Qiao , Divyesh Jadav

Transformer-based and CNN-based methods demonstrate strong performance in long-term time series forecasting. However, their high computational and storage requirements can hinder large-scale deployment. To address this limitation, we…

Machine Learning · Computer Science 2026-01-08 Juntong Ni , Zewen Liu , Shiyu Wang , Ming Jin , Wei Jin

Nonlinear regression is a useful statistical tool, relating observed data and a nonlinear function of unknown parameters. When the parameter-dependent nonlinear function is computationally intensive, a straightforward regression analysis by…

Applications · Statistics 2009-01-26 Dorin Drignei , Chris E. Forest , Doug Nychka

Accurate assessment of atmospheric nitrogen dioxide (NO$_2$) and sulfur dioxide (SO$_2$) is essential for understanding climate-air quality interactions, supporting environmental policy, and protecting public health. Traditional monitoring…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Prasanjit Dey , Soumyabrata Dev , Bianca Schoen-Phelan

This work presents a physics-informed neural network (PINN) based framework to model the strain-rate and temperature dependence of the deformation fields in elastic-viscoplastic solids. To avoid unbalanced back-propagated gradients during…

Materials Science · Physics 2022-11-24 Rajat Arora , Pratik Kakkar , Biswadip Dey , Amit Chakraborty

Air pollution significantly threatens human health and ecosystems, necessitating effective air quality prediction to inform public policy. Traditional approaches are generally categorized into physics-based and data-driven models.…

Machine Learning · Computer Science 2025-04-16 Jindong Tian , Yuxuan Liang , Ronghui Xu , Peng Chen , Chenjuan Guo , Aoying Zhou , Lujia Pan , Zhongwen Rao , Bin Yang

We established a Spatio-Temporal Neural Network, namely STNN, to forecast the spread of the coronavirus COVID-19 outbreak worldwide in 2020. The basic structure of STNN is similar to the Recurrent Neural Network (RNN) incorporating with not…

Machine Learning · Computer Science 2021-03-23 Yi-Shuai Niu , Wentao Ding , Junpeng Hu , Wenxu Xu , Stephane Canu

Physics-informed neural networks allow models to be trained by physical laws described by general nonlinear partial differential equations. However, traditional architectures struggle to solve more challenging time-dependent problems due to…

Computational Physics · Physics 2022-02-28 Benjamin Wu , Oliver Hennigh , Jan Kautz , Sanjay Choudhry , Wonmin Byeon

PM2.5 forecasting is crucial for public health, air quality management, and policy development. Traditional physics-based models are computationally demanding and slow to adapt to real-time conditions. Deep learning models show potential in…

Machine Learning · Computer Science 2024-06-28 Shengjuan Cai , Fangxin Fang , Vincent-Henri Peuch , Mihai Alexe , Ionel Michael Navon , Yanghua Wang

Recently, Transformer-base models have made significant progress in the field of time series prediction which have achieved good results and become baseline models beyond Dlinear. The paper proposes an U-Net time series prediction model…

Machine Learning · Computer Science 2024-06-07 Li Chu , Xiao Bingjia , Yuan Qiping

Given an on-board diagnostics (OBD) dataset and a physics-based emissions prediction model, this paper aims to develop an accurate and computational-efficient AI (Artificial Intelligence) method that predicts vehicle emissions. The problem…

Artificial Intelligence · Computer Science 2021-05-06 Harish Panneer Selvam , Yan Li , Pengyue Wang , William F. Northrop , Shashi Shekhar

Accurate and timely air quality and weather predictions are of great importance to urban governance and human livelihood. Though many efforts have been made for air quality or weather prediction, most of them simply employ one another as…

Machine Learning · Computer Science 2021-01-06 Jindong Han , Hao Liu , Hengshu Zhu , Hui Xiong , Dejing Dou

Time series forecasting plays a critical role in domains such as energy, finance, and healthcare, where accurate predictions inform decision-making under uncertainty. Although Transformer-based models have demonstrated success in sequential…

Machine Learning · Computer Science 2025-05-27 Ali Forootani , Mohammad Khosravi

Accurate traffic flow forecasting is essential for the development of intelligent transportation systems (ITS), supporting tasks such as traffic signal optimization, congestion management, and route planning. Traditional models often fail…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-03 Zhuo Zheng , Lingran Meng , Ziyu Lin

Space-Time Projection (STP) is introduced as a data-driven forecasting approach for high-dimensional and time-resolved data. The method computes extended space-time proper orthogonal modes from training data spanning a prediction horizon…

Machine Learning · Computer Science 2025-04-01 Oliver T. Schmidt

Time-series forecasts are essential for planning and decision-making in many domains. Explainability is key to building user trust and meeting transparency requirements. Shapley Additive Explanations (SHAP) is a popular explainable AI…

Machine Learning · Computer Science 2025-12-24 Matthias Hertel , Sebastian Pütz , Ralf Mikut , Veit Hagenmeyer , Benjamin Schäfer

The steady-state simplified $P_N$ approximation to the radiative transport equation has been successfully applied to many problems involving radiation. Recently, time-dependent simplified $P_N$ equations have been derived by an asymptotic…

Computational Physics · Physics 2012-05-07 Martin Frank , Jens Lang , Matthias Schaefer

We present a new model, Predictive State Recurrent Neural Networks (PSRNNs), for filtering and prediction in dynamical systems. PSRNNs draw on insights from both Recurrent Neural Networks (RNNs) and Predictive State Representations (PSRs),…

Machine Learning · Statistics 2017-06-20 Carlton Downey , Ahmed Hefny , Boyue Li , Byron Boots , Geoffrey Gordon

Natural systems are typically nonlinear and complex, and it is of great interest to be able to reconstruct a system in order to understand its mechanism, which can not only recover nonlinear behaviors but also predict future dynamics. Due…

Chaotic Dynamics · Physics 2017-11-03 Huanfei Ma , Siyang Leng , Luonan Chen