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Multivariate time-series modeling and forecasting is an important problem with numerous applications. Traditional approaches such as VAR (vector auto-regressive) models and more recent approaches such as RNNs (recurrent neural networks) are…

Machine Learning · Computer Science 2017-09-12 Hardik Goel , Igor Melnyk , Arindam Banerjee

We consider the task of predicting a response Y from a set of covariates X in settings where the conditional distribution of Y given X changes over time. For this to be feasible, assumptions on how the conditional distribution changes over…

Machine Learning · Statistics 2025-02-19 Margherita Lazzaretto , Jonas Peters , Niklas Pfister

Accurate precipitation estimates at individual locations are crucial for weather forecasting and spatial analysis. This study presents a paradigm shift by leveraging Deep Neural Networks (DNNs) to surpass traditional methods like Kriging…

Monitoring ground displacement is crucial for urban infrastructure stability and mitigating geological hazards. However, forecasting future deformation from sparse Interferometric Synthetic Aperture Radar (InSAR) time-series data remains a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Wendong Yao , Saeed Azadnejad , Binhua Huang , Shane Donohue , Soumyabrata Dev

Transformer-based and MLP-based methods have emerged as leading approaches in time series forecasting (TSF). While Transformer-based methods excel in capturing long-range dependencies, they suffer from high computational complexities and…

Machine Learning · Computer Science 2025-04-16 Yifan Hu , Peiyuan Liu , Peng Zhu , Dawei Cheng , Tao Dai

Time series forecasting is extensively applied across diverse domains. Transformer-based models demonstrate significant potential in modeling cross-time and cross-variable interaction. However, we notice that the cross-variable correlation…

Machine Learning · Computer Science 2024-10-08 Ao Hu , Dongkai Wang , Yong Dai , Shiyi Qi , Liangjian Wen , Jun Wang , Zhi Chen , Xun Zhou , Zenglin Xu , Jiang Duan

Time series forecasting is crucial for decision-making across various domains, particularly in financial markets where stock prices exhibit complex and non-linear behaviors. Accurately predicting future price movements is challenging due to…

General Economics · Economics 2025-04-29 Tiantian Tu

We present a significantly-improved data-driven global weather forecasting framework using a deep convolutional neural network (CNN) to forecast several basic atmospheric variables on a global grid. New developments in this framework…

Atmospheric and Oceanic Physics · Physics 2020-10-14 Jonathan A. Weyn , Dale R. Durran , Rich Caruana

State estimation for nonlinear dynamical systems is a critical challenge in control and engineering applications, particularly when only partial and noisy measurements are available. This paper introduces a novel Adaptive Physics-Informed…

Machine Learning · Computer Science 2025-10-31 Ayoub Farkane , Mohamed Boutayeb , Mustapha Oudani , Mounir Ghogho

Spiking Neural Networks (SNN) are a class of bio-inspired neural networks that promise to bring low-power and low-latency inference to edge devices through asynchronous and sparse processing. However, being temporal models, SNNs depend…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Asude Aydin , Mathias Gehrig , Daniel Gehrig , Davide Scaramuzza

While time series prediction is an important, actively studied problem, the predictive accuracy of time series models is complicated by non-stationarity. We develop a fast and effective approach to allow for non-stationarity in the…

Applications · Statistics 2015-12-10 Daniel M. McCarthy , Shane T. Jensen

An elementary Recurrent Neural Network that operates on p time lags, called an RNN(p), is the natural generalisation of a linear autoregressive model ARX(p). It is a powerful forecasting tool for variables displaying inherent seasonal…

Machine Learning · Computer Science 2025-11-10 Roberto Baviera , Pietro Manzoni

This work contributes to the development of neural forecasting models with novel randomization-based learning methods. These methods improve the fitting abilities of the neural model, in comparison to the standard method, by generating…

Machine Learning · Computer Science 2021-07-06 Grzegorz Dudek

Time-dependent partial differential equations are a significant class of equations that describe the evolution of various physical phenomena over time. One of the open problems in scientific computing is predicting the behaviour of the…

Numerical Analysis · Mathematics 2025-06-30 Zhenyi Zhu , Yuchen Huang , Liu Liu

Spatiotemporal Graph Neural Networks (ST-GNNs) and Transformers have shown significant promise in traffic forecasting by effectively modeling temporal and spatial correlations. However, rapid urbanization in recent years has led to dynamic…

Machine Learning · Computer Science 2024-11-19 Hongjun Wang , Jiyuan Chen , Lingyu Zhang , Renhe Jiang , Xuan Song

As climate change intensifies, the shift to cleaner energy sources becomes increasingly urgent. With wind energy production set to accelerate, reliable wind probabilistic forecasts are essential to ensure its efficient use. However, since…

Machine Learning · Computer Science 2024-10-08 Jean-Sébastien Giroux , Simon-Philippe Breton , Julie Carreau

Despite the notable advancements in numerous Transformer-based models, the task of long multi-horizon time series forecasting remains a persistent challenge, especially towards explainability. Focusing on commonly used saliency maps in…

Machine Learning · Computer Science 2023-09-18 Nghia Duong-Trung , Duc-Manh Nguyen , Danh Le-Phuoc

Accurate traffic forecasting is essential for intelligent transportation systems, supporting a wide range of real-world applications. However, it remains challenging due to two key factors:~(1) Traffic series contain heterogeneous temporal…

Artificial Intelligence · Computer Science 2026-05-26 Ruiwen Gu , Qitai Tan , Yahao Liu , Xiao-Ping Zhang

Recent advancements in Spatiotemporal Graph Neural Networks (ST-GNNs) and Transformers have demonstrated promising potential for traffic forecasting by effectively capturing both temporal and spatial correlations. The generalization ability…

Machine Learning · Computer Science 2024-10-02 Hongjun Wang , Jiyuan Chen , Tong Pan , Zheng Dong , Lingyu Zhang , Renhe Jiang , Xuan Song

Traffic prediction is a critical component of intelligent transportation systems, enabling applications such as congestion mitigation and accident risk prediction. While recent research has explored both graph-based and grid-based…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Hyeonseok Jin , Geonmin Kim , Kyungbaek Kim
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