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Accurate weather forecasting is more than grid-wise regression: it must preserve coherent synoptic structures and physical consistency of meteorological fields, especially under autoregressive rollouts where small one-step errors can…

Artificial Intelligence · Computer Science 2026-03-17 Jing Wu , Yang Liu , Lin Zhang , Junbo Zeng , Jiabin Wang , Zi Ye , Guowen Li , Shilei Cao , Jiashun Cheng , Fang Wang , Meng Jin , Yerong Feng , Hong Cheng , Yutong Lu , Haohuan Fu , Juepeng Zheng

The forecasting combination puzzle is a well-known phenomenon in forecasting literature, stressing the challenge of outperforming the simple average when aggregating forecasts from diverse methods. This study proposes a Reinforcement…

Econometrics · Economics 2025-08-29 Marcelo C. Medeiros , Jeronymo M. Pinro

Masked diffusion models (MDMs) have emerged as a promising approach for language modeling, yet they face a performance gap compared to autoregressive models (ARMs) and require more training iterations. In this work, we present the…

Machine Learning · Computer Science 2026-01-26 Mahdi Karami , Ali Ghodsi

Motion forecasting is crucial in autonomous driving systems to anticipate the future trajectories of surrounding agents such as pedestrians, vehicles, and traffic signals. In end-to-end forecasting, the model must jointly detect and track…

This study examines the predictability of artificial intelligence (AI) models for weather prediction. Using a simple deep-learning architecture based on convolutional long short-term memory and the ERA5 data for training, we show that…

Atmospheric and Oceanic Physics · Physics 2024-10-07 Chanh Kieu

We introduce a Modewise Additive Factor Model (MAFM) for matrix-valued time series that captures row-specific and column-specific latent effects through an additive structure, offering greater flexibility than multiplicative frameworks such…

Methodology · Statistics 2026-02-12 Elynn Chen , Yuefeng Han , Jiayu Li , Ke Xu

The probability prediction of multivariate time series is a notoriously challenging but practical task. On the one hand, the challenge is how to effectively capture the cross-series correlations between interacting time series, to achieve…

Machine Learning · Computer Science 2023-07-24 Shibo Feng , Chunyan Miao , Ke Xu , Jiaxiang Wu , Pengcheng Wu , Yang Zhang , Peilin Zhao

Short-term (0-24 hours) precipitation forecasting is highly valuable to socioeconomic activities and public safety. However, the highly complex evolution patterns of precipitation events, the extreme imbalance between precipitation and…

Machine Learning · Computer Science 2026-03-30 Shuangliang Li , Siwei Li , Li Li , Weijie Zou , Jie Yang , Maolin Zhang

Time series of matrix-valued data are increasingly available in various areas including economics, finance, social science, among others. These data may shed light on the inter-dynamical relationships between two sets of attributes, for…

Methodology · Statistics 2026-04-22 Fei Wu , Kung-Sik Chan

Time series forecasting is an important problem across many domains, playing a crucial role in multiple real-world applications. In this paper, we propose a forecasting architecture that combines deep autoregressive models with a Spectral…

Machine Learning · Statistics 2021-12-28 Fernando Moreno-Pino , Pablo M. Olmos , Antonio Artés-Rodríguez

Global warming leads to the increase in frequency and intensity of climate extremes that cause tremendous loss of lives and property. Accurate long-range climate prediction allows more time for preparation and disaster risk management for…

Machine Learning · Computer Science 2021-12-13 Ken C. L. Wong , Hongzhi Wang , Etienne E. Vos , Bianca Zadrozny , Campbell D. Watson , Tanveer Syeda-Mahmood

Machine learning models have shown great success in predicting weather up to two weeks ahead, outperforming process-based benchmarks. However, existing approaches mostly focus on the prediction task, and do not incorporate the necessary…

Recent advances have investigated the use of pretrained large language models (LLMs) for time-series forecasting by aligning numerical inputs with LLM embedding spaces. However, existing multimodal approaches often overlook the distinct…

Computation and Language · Computer Science 2026-05-22 Suchan Lee , Jihoon Choi , Sohyeon Lee , Minseok Song , Bong-Gyu Jang , Hwanjo Yu , Soyeon Caren Han

Predicting the demand for electricity with uncertainty helps in planning and operation of the grid to provide reliable supply of power to the consumers. Machine learning (ML)-based demand forecasting approaches can be categorized into (1)…

Machine Learning · Computer Science 2023-02-15 Yiwei Fu , Nurali Virani , Honggang Wang

Historically, LLMs have been trained using either autoregressive (AR) or masked language modeling (MLM) objectives, with AR models gaining dominance in recent years. However, AR models are inherently incapable of masked infilling, which is…

Machine Learning · Computer Science 2025-02-12 Daniel Israel , Aditya Grover , Guy Van den Broeck

Forecasting the weather is an increasingly data intensive exercise. Numerical Weather Prediction (NWP) models are becoming more complex, with higher resolutions, and there are increasing numbers of different models in operation. While the…

Applications · Statistics 2021-03-17 Charlie Kirkwood , Theo Economou , Henry Odbert , Nicolas Pugeault

Multiview embedding is a way to model strange attractors that takes advantage of the way measurements are often made in real chaotic systems, using multidimensional measurements to make up for a lack of long timeseries. Predictive multiview…

Applications · Statistics 2021-06-23 M. LuValle

Skilful Machine Learned weather forecasts have challenged our approach to numerical weather prediction, demonstrating competitive performance compared to traditional physics-based approaches. Data-driven systems have been trained to…

Accurate marine wind forecasts are essential for safe navigation, ship routing, and energy operations, yet they remain challenging because observations over the ocean are sparse, heterogeneous, and temporally variable. We reformulate wind…

Machine Learning · Computer Science 2025-12-04 Matteo Peduto , Qidong Yang , Jonathan Giezendanner , Devis Tuia , Sherrie Wang

Recently, denoising diffusion models have led to significant breakthroughs in the generation of images, audio and text. However, it is still an open question on how to adapt their strong modeling ability to model time series. In this paper,…

Machine Learning · Computer Science 2023-06-09 Lifeng Shen , James Kwok