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Time series modeling presents unique challenges due to autocorrelation in both historical data and future sequences. While current research predominantly addresses autocorrelation within historical data, the correlations among future labels…

Machine Learning · Computer Science 2025-05-07 Hao Wang , Licheng Pan , Zhichao Chen , Degui Yang , Sen Zhang , Yifei Yang , Xinggao Liu , Haoxuan Li , Dacheng Tao

Extending the forecasting time is a critical demand for real applications, such as extreme weather early warning and long-term energy consumption planning. This paper studies the long-term forecasting problem of time series. Prior…

Machine Learning · Computer Science 2022-01-10 Haixu Wu , Jiehui Xu , Jianmin Wang , Mingsheng Long

Time series forecasting (TSF) has long been a crucial task in both industry and daily life. Most classical statistical models may have certain limitations when applied to practical scenarios in fields such as energy, healthcare, traffic,…

Machine Learning · Computer Science 2025-03-14 Xiangjie Kong , Zhenghao Chen , Weiyao Liu , Kaili Ning , Lechao Zhang , Syauqie Muhammad Marier , Yichen Liu , Yuhao Chen , Feng Xia

An increasing body of research focuses on using neural networks to model time series. A common assumption in training neural networks via maximum likelihood estimation on time series is that the errors across time steps are uncorrelated.…

Machine Learning · Computer Science 2021-10-12 Fan-Keng Sun , Christopher I. Lang , Duane S. Boning

Time series analysis is a field of data science which is interested in analyzing sequences of numerical values ordered in time. Time series are particularly interesting because they allow us to visualize and understand the evolution of a…

Machine Learning · Computer Science 2020-10-02 Hassan Ismail Fawaz

Training time-series forecast models presents unique challenges in designing effective learning objectives. Existing methods predominantly utilize the temporal mean squared error, which faces two critical challenges: (1) label…

Machine Learning · Computer Science 2026-03-20 Hao Wang , Licheng Pan , Zhichao Chen , Xu Chen , Qingyang Dai , Lei Wang , Haoxuan Li , Zhouchen Lin

Continuous-time series is essential for different modern application areas, e.g. healthcare, automobile, energy, finance, Internet of things (IoT) and other related areas. Different application needs to process as well as analyse a massive…

Machine Learning · Computer Science 2024-09-17 Mansura Habiba , Barak A. Pearlmutter , Mehrdad Maleki

Graph deep learning methods have become popular tools to process collections of correlated time series. Unlike traditional multivariate forecasting methods, graph-based predictors leverage pairwise relationships by conditioning forecasts on…

Machine Learning · Computer Science 2025-06-09 Andrea Cini , Ivan Marisca , Daniele Zambon , Cesare Alippi

A new version of the partial autocorrelation plot and a new family of subset autoregressive models are introduced. A comprehensive approach to model identification, estimation and diagnostic checking is developed for these models. These…

Statistics Theory · Mathematics 2016-11-07 A. Ian McLeod , Ying Zhang

Many scientific prediction problems have spatiotemporal data- and modeling-related challenges in handling complex variations in space and time using only sparse and unevenly distributed observations. This paper presents a novel deep…

Machine Learning · Computer Science 2021-12-13 Yijun Lin , Yao-Yi Chiang , Meredith Franklin , Sandrah P. Eckel , José Luis Ambite

Time series modeling for predictive purpose has been an active research area of machine learning for many years. However, no sufficiently comprehensive and meanwhile substantive survey was offered so far. This survey strives to meet this…

Machine Learning · Computer Science 2021-09-28 Fatoumata Dama , Christine Sinoquet

In many real-world application, e.g., speech recognition or sleep stage classification, data are captured over the course of time, constituting a Time-Series. Time-Series often contain temporal dependencies that cause two otherwise…

Machine Learning · Computer Science 2017-01-10 John Cristian Borges Gamboa

Deep learning models have grown increasingly popular in time series applications. However, the large quantity of newly proposed architectures, together with often contradictory empirical results, makes it difficult to assess which…

Machine Learning · Computer Science 2025-12-30 Valentina Moretti , Andrea Cini , Ivan Marisca , Cesare Alippi

Self-supervised learning achieves superior performance in many domains by extracting useful representations from the unlabeled data. However, most of traditional self-supervised methods mainly focus on exploring the inter-sample structure…

Machine Learning · Computer Science 2020-11-30 Haoyi Fan , Fengbin Zhang , Yue Gao

Deep learning-based time series forecasting has dominated the short-term precipitation forecasting field with the help of its ability to estimate motion flow in high-resolution datasets. The growing interest in precipitation nowcasting…

Machine Learning · Computer Science 2024-06-17 Sojung An , Tae-Jin Oh , Eunha Sohn , Donghyun Kim

Numerous deep learning architectures have been developed to accommodate the diversity of time series datasets across different domains. In this article, we survey common encoder and decoder designs used in both one-step-ahead and…

Machine Learning · Statistics 2021-04-28 Bryan Lim , Stefan Zohren

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

Machine learning and in particular deep learning algorithms are the emerging approaches to data analysis. These techniques have transformed traditional data mining-based analysis radically into a learning-based model in which existing data…

Machine Learning · Computer Science 2020-04-17 Neda Tavakoli , Sima Siami-Namini , Mahdi Adl Khanghah , Fahimeh Mirza Soltani , Akbar Siami Namin

Time series forecasting is a critical task that provides key information for decision-making. After traditional statistical and machine learning approaches, various fundamental deep learning architectures such as MLPs, CNNs, RNNs, and GNNs…

Machine Learning · Computer Science 2025-05-02 Jongseon Kim , Hyungjoon Kim , HyunGi Kim , Dongjun Lee , Sungroh Yoon

Causal discovery is the subfield of causal inference concerned with estimating the structure of cause-and-effect relationships in a system of interrelated variables, as opposed to quantifying the strength or describing the form of causal…

Methodology · Statistics 2026-03-26 Rebecca F. Supple , Hannah Worthington , Ben Swallow
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