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Forecasting non-stationary time series is a challenging task because their statistical properties often change over time, making it hard for deep models to generalize well. Instance-level normalization techniques can help address shifts in…

Machine Learning · Computer Science 2025-06-09 Junpeng Lin , Tian Lan , Bo Zhang , Ke Lin , Dandan Miao , Huiru He , Jiantao Ye , Chen Zhang , Yan-fu Li

To unlock access to stronger winds, the offshore wind industry is advancing towards significantly larger and taller wind turbines. This massive upscaling motivates a departure from wind forecasting methods that traditionally focused on a…

Machine Learning · Computer Science 2025-11-18 Feng Ye , Xinxi Zhang , Michael Stein , Ahmed Aziz Ezzat

Deep sequence models have achieved notable success in time-series analysis, such as interpolation and forecasting. Recent advances move beyond discrete-time architectures like Recurrent Neural Networks (RNNs) toward continuous-time…

Machine Learning · Computer Science 2025-08-05 Haoran Li , Muhao Guo , Yang Weng , Hanghang Tong

Accurate air quality forecasting is essential for public health and environmental sustainability, but remains challenging due to the complex pollutant dynamics. Existing deep learning methods often model pollutant dynamics as an…

Machine Learning · Computer Science 2026-03-19 Binqing Wu , Zongjiang Shang , Shiyu Liu , Jianlong Huang , Jiahui Xu , Ling Chen

Data-driven artificial intelligence (AI) models have made significant advancements in weather forecasting, particularly in medium-range and nowcasting. However, most data-driven weather forecasting models are black-box systems that focus on…

Machine Learning · Computer Science 2025-01-14 Wanghan Xu , Fenghua Ling , Wenlong Zhang , Tao Han , Hao Chen , Wanli Ouyang , Lei Bai

Real-world problems often involve complex and unstructured sets of measurements, which occur when sensors are sparsely placed in either space or time. Being able to model this irregular spatiotemporal data and extract meaningful forecasts…

Machine Learning · Computer Science 2024-04-17 Arnaud Pannatier , Kyle Matoba , François Fleuret

Recent years have witnessed significant progress in developing effective training and fast sampling techniques for diffusion models. A remarkable advancement is the use of stochastic differential equations (SDEs) and their…

Computer Vision and Pattern Recognition · Computer Science 2024-08-26 Defang Chen , Zhenyu Zhou , Jian-Ping Mei , Chunhua Shen , Chun Chen , Can Wang

Channel prediction is critical to address the channel aging issue in mobile scenarios. Existing channel prediction techniques are mainly designed for discrete channel prediction, which can only predict the future channel in a fixed time…

Information Theory · Computer Science 2023-08-01 Mingyao Cui , Hao Jiang , Yuhao Chen , Yang Du , Linglong Dai

Modern deep learning techniques, which mimic traditional numerical weather prediction (NWP) models and are derived from global atmospheric reanalysis data, have caused a significant revolution within a few years. In this new paradigm, our…

Artificial Intelligence · Computer Science 2024-02-14 Minjong Cheon , Daehyun Kang , Yo-Hwan Choi , Seon-Yu Kang

In data-driven modeling of spatiotemporal phenomena careful consideration often needs to be made in capturing the dynamics of the high wavenumbers. This problem becomes especially challenging when the system of interest exhibits shocks or…

Machine Learning · Computer Science 2022-12-28 Alec J. Linot , Joshua W. Burby , Qi Tang , Prasanna Balaprakash , Michael D. Graham , Romit Maulik

Integro-difference equation (IDE) models describe the conditional dependence between the spatial process at a future time point and the process at the present time point through an integral operator. Nonlinearity or temporal dependence in…

Machine Learning · Statistics 2020-01-29 Andrew Zammit-Mangion , Christopher K. Wikle

We consider parameter estimation of ordinary differential equation (ODE) models from noisy observations. For this problem, one conventional approach is to fit numerical solutions (e.g., Euler, Runge--Kutta) of ODEs to data. However, such a…

Methodology · Statistics 2021-09-01 Takeru Matsuda , Yuto Miyatake

Test time adaptation (TTA) has emerged as a promising solution to adapt pre-trained models to new, unseen data distributions using unlabeled target domain data. However, most TTA methods are designed for independent data, often overlooking…

Machine Learning · Computer Science 2026-01-21 Ting Dang , Soumyajit Chatterjee , Hong Jia , Yu Wu , Flora Salim , Fahim Kawsar

Since the advent of the ``Neural Ordinary Differential Equation (Neural ODE)'' paper, learning ODEs with deep learning has been applied to system identification, time-series forecasting, and related areas. Exploiting the diffeomorphic…

Machine Learning · Statistics 2025-08-27 Yuji Okamoto , Tomoya Takeuchi , Yusuke Sakemi

Discontinuities and delayed terms are encountered in the governing equations of a large class of problems ranging from physics and engineering to medicine and economics. These systems cannot be properly modelled and simulated with standard…

Artificial Intelligence · Computer Science 2024-09-27 Thibault Monsel , Onofrio Semeraro , Lionel Mathelin , Guillaume Charpiat

Urban spatio-temporal prediction under extreme conditions (e.g., heavy rain) is challenging due to event rarity and dynamics. Existing data-driven approaches that incorporate weather as auxiliary input often rely on coarse-grained…

Artificial Intelligence · Computer Science 2026-02-02 Qian Hong , Siyuan Chang , Xiao Zhou

Neural Ordinary Differential Equations (ODEs) are elegant reinterpretations of deep networks where continuous time can replace the discrete notion of depth, ODE solvers perform forward propagation, and the adjoint method enables efficient,…

Anomaly segmentation seeks to detect and localize unknown or out-of-distribution (OoD) objects that fall outside predefined semantic classes a capability essential for safe autonomous driving. However, the scarcity and limited diversity of…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Yuxing Liu , Zheng Li , Huanhuan Liang , Ji Zhang , Zeyu Sun , Yong Liu

Addressing complex meteorological processes at a fine spatial resolution requires substantial computational resources. To accelerate meteorological simulations, researchers have utilized neural networks to downscale meteorological variables…

Atmospheric and Oceanic Physics · Physics 2024-04-30 Jing Hu , Honghu Zhang , Peng Zheng , Jialin Mu , Xiaomeng Huang , Xi Wu

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