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As global climate change intensifies, accurate weather forecasting has become increasingly important, affecting agriculture, energy management, environmental protection, and daily life. This study introduces a hybrid model combining…

Machine Learning · Computer Science 2024-10-22 Yuhao Gong , Yuchen Zhang , Fei Wang , Chi-Han Lee

The past few years have witnessed the rapid development in multivariate time series forecasting. The key to accurate forecasting results is capturing the long-term dependency between each time step (cross-time dependency) and modeling the…

Machine Learning · Computer Science 2023-06-06 Donghao Luo , Xue Wang

Irregular multivariate time series forecasting (IMTSF) is challenging due to non-uniform sampling and variable asynchronicity. These irregularities violate the equidistant assumptions of standard models, hindering local temporal modeling…

Machine Learning · Computer Science 2026-02-03 Xiangfei Qiu , Kangjia Yan , Xvyuan Liu , Xingjian Wu , Jilin Hu

Multivariate time series (MTS) forecasting is vital across various domains but remains challenging due to the need to simultaneously model temporal and inter-variate dependencies. Existing channel-dependent models, where Transformer-based…

Machine Learning · Computer Science 2025-02-03 Junwoo Ha , Hyukjae Kwon , Sungsoo Kim , Kisu Lee , Seungjae Park , Ha Young Kim

Although deep networks have been widely adopted, one of their shortcomings has been their blackbox nature. One particularly difficult problem in machine learning is multivariate time series (MVTS) classification. MVTS data arise in many…

Machine Learning · Computer Science 2020-08-04 Naveen Madiraju , Homa Karimabadi

Deep learning methods achieve remarkable predictive performance in modeling complex, large-scale data. However, assessing the quality of derived models has become increasingly challenging, as more classical statistical assumptions may no…

Machine Learning · Statistics 2026-03-02 Daniele Zambon , Cesare Alippi

Long-term Time Series Forecasting is crucial across numerous critical domains, yet its accuracy remains fundamentally constrained by the receptive field bottleneck in existing models. Mainstream Transformer- and Multi-layer Perceptron…

Computational Engineering, Finance, and Science · Computer Science 2025-11-13 Weixu Wang , Xiaobo Zhou , Xin Qiao , Lei Wang , Tie Qiu

Models based on neural networks and machine learning are seeing a rise in popularity in space physics. In particular, the forecasting of geomagnetic indices with neural network models is becoming a popular field of study. These models are…

Machine Learning · Computer Science 2022-03-15 Brecht Laperre , Jorge Amaya , Giovanni Lapenta

Traditional methods for solving linear systems have quickly become impractical due to an increase in the size of available data. Utilizing massive amounts of data is further complicated when the data is incomplete or has missing entries. In…

Numerical Analysis · Mathematics 2019-01-09 Anna Ma , Deanna Needell

Recently, Large Language Models (LLMs) have demonstrated great potential in various data mining tasks, such as knowledge question answering, mathematical reasoning, and commonsense reasoning. However, the reasoning capability of LLMs on…

Computation and Language · Computer Science 2025-05-22 He Chang , Chenchen Ye , Zhulin Tao , Jie Wu , Zhengmao Yang , Yunshan Ma , Xianglin Huang , Tat-Seng Chua

Time series forecasting is prevalent in extensive real-world applications, such as financial analysis and energy planning. Previous studies primarily focus on time series modality, endeavoring to capture the intricate variations and…

Machine Learning · Computer Science 2024-10-08 Jiaxiang Dong , Haixu Wu , Yuxuan Wang , Li Zhang , Jianmin Wang , Mingsheng Long

Recent studies have attempted to refine the Transformer architecture to demonstrate its effectiveness in Long-Term Time Series Forecasting (LTSF) tasks. Despite surpassing many linear forecasting models with ever-improving performance, we…

Machine Learning · Computer Science 2024-12-30 Peiwang Tang , Weitai Zhang

The key problem in multivariate time series (MTS) analysis and forecasting aims to disclose the underlying couplings between variables that drive the co-movements. Considerable recent successful MTS methods are built with graph neural…

Machine Learning · Computer Science 2022-10-11 Kun Yi , Qi Zhang , Liang Hu , Hui He , Ning An , LongBing Cao , ZhenDong Niu

The missing data issue often complicates the task of estimating generalized linear models (GLMs). We describe why the pseudo-marginal Metropolis-Hastings algorithm, used in this setting, is an effective strategy for parameter estimation.…

Methodology · Statistics 2019-07-23 Taylor R. Brown , Timothy L. McMurry , Alexander Langevin

Long-term time series forecasting plays an important role in various real-world scenarios. Recent deep learning methods for long-term series forecasting tend to capture the intricate patterns of time series by decomposition-based or…

Machine Learning · Computer Science 2023-06-13 Xing Wang , Zhendong Wang , Kexin Yang , Junlan Feng , Zhiyan Song , Chao Deng , Lin zhu

Traffic forecasting is a classical task for traffic management and it plays an important role in intelligent transportation systems. However, since traffic data are mostly collected by traffic sensors or probe vehicles, sensor failures and…

Machine Learning · Computer Science 2019-12-12 Zhiyong Cui , Longfei Lin , Ziyuan Pu , Yinhai Wang

Multivariate time-series forecasting plays a crucial role in many real-world applications. It is a challenging problem as one needs to consider both intra-series temporal correlations and inter-series correlations simultaneously. Recently,…

Machine Learning · Computer Science 2021-03-16 Defu Cao , Yujing Wang , Juanyong Duan , Ce Zhang , Xia Zhu , Conguri Huang , Yunhai Tong , Bixiong Xu , Jing Bai , Jie Tong , Qi Zhang

Time series forecasting plays a pivotal role in critical sectors such as finance, energy, transportation, and meteorology. However, Long-term Time Series Forecasting (LTSF) remains a significant challenge because real-world signals contain…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Xiang Ao

The decomposition of time series into components is an important task that helps to understand time series and can enable better forecasting. Nowadays, with high sampling rates leading to high-frequency data (such as daily, hourly, or…

Applications · Statistics 2021-07-29 Kasun Bandara , Rob J Hyndman , Christoph Bergmeir
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