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Time series forecasting has attracted significant attention in recent decades. Previous studies have demonstrated that the Channel-Independent (CI) strategy improves forecasting performance by treating different channels individually, while…

Machine Learning · Computer Science 2024-11-07 Jialin Chen , Jan Eric Lenssen , Aosong Feng , Weihua Hu , Matthias Fey , Leandros Tassiulas , Jure Leskovec , Rex Ying

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

Time series prediction is crucial for understanding and forecasting complex dynamics in various domains, ranging from finance and economics to climate and healthcare. Based on Transformer architecture, one approach involves encoding…

Machine Learning · Computer Science 2024-05-24 Xin Cheng , Xiuying Chen , Shuqi Li , Di Luo , Xun Wang , Dongyan Zhao , Rui Yan

Multivariate time series analysis is a vital but challenging task, with multidisciplinary applicability, tackling the characterization of multiple interconnected variables over time and their dependencies. Traditional methodologies often…

Social and Information Networks · Computer Science 2026-02-03 Vanessa Freitas Silva , Maria Eduarda Silva , Pedro Ribeiro , Fernando Silva

Existing time series forecasting methods primarily rely on the numerical data itself. However, real-world time series exhibit complex patterns associated with multimodal information, making them difficult to predict with numerical data…

Artificial Intelligence · Computer Science 2026-03-17 Siyuan Wang , Peng Chen , Yihang Wang , Wanghui Qiu , Chenjuan Guo , Bin Yang , Yang Shu

In recent work on time-series prediction, Transformers and even large language models have garnered significant attention due to their strong capabilities in sequence modeling. However, in practical deployments, time-series prediction often…

Machine Learning · Computer Science 2026-02-17 Wenxuan Xie , Fanpu Cao

Short-Term Load Forecasting (STLF) is a fundamental component in the efficient management of power systems, which has been studied intensively over the past 50 years. The emerging development of smart grid technologies is posing new…

Optimization and Control · Mathematics 2017-02-28 The-Hien Dang-Ha , Filippo Maria Bianchi , Roland Olsson

Transformer has become one of the most popular architectures for multivariate time series (MTS) forecasting. Recent Transformer-based MTS models generally prefer channel-independent structures with the observation that channel independence…

Machine Learning · Computer Science 2024-03-06 Ce Chi , Xing Wang , Kexin Yang , Zhiyan Song , Di Jin , Lin Zhu , Chao Deng , Junlan Feng

Accurate time series forecasting models are often compromised by data drift, where underlying data distributions change over time, leading to significant declines in prediction performance. To address this challenge, this study proposes an…

Systems and Control · Electrical Eng. & Systems 2025-12-30 Nikhil Pawar , Guilherme Vieira Hollweg , Akhtar Hussain , Wencong Su , Van-Hai Bui

Time-series forecasting finds broad applications in real-world scenarios. Due to the dynamic nature of time series data, it is important for time-series forecasting models to handle potential distribution shifts over time. In this paper, we…

Machine Learning · Computer Science 2026-03-26 Zhiyuan Zhao , Haoxin Liu , B. Aditya Prakash

We propose an efficient design of Transformer-based models for multivariate time series forecasting and self-supervised representation learning. It is based on two key components: (i) segmentation of time series into subseries-level patches…

Machine Learning · Computer Science 2023-03-07 Yuqi Nie , Nam H. Nguyen , Phanwadee Sinthong , Jayant Kalagnanam

Deep learning (e.g., Transformer) has been widely and successfully used in multivariate time series forecasting (MTSF). Unlike existing methods that focus on training models from a single modal of time series input, large language models…

Machine Learning · Computer Science 2025-04-09 Peiyuan Liu , Hang Guo , Tao Dai , Naiqi Li , Jigang Bao , Xudong Ren , Yong Jiang , Shu-Tao Xia

Recent advances in Large Language Models (LLMs) have demonstrated new possibilities for accurate and efficient time series analysis, but prior work often required heavy fine-tuning and/or ignored inter-series correlations. In this work, we…

Non-stationarity poses significant challenges for multivariate time series forecasting due to the inherent short-term fluctuations and long-term trends that can lead to spurious regressions or obscure essential long-term relationships. Most…

Machine Learning · Computer Science 2025-05-16 Peiyuan Liu , Beiliang Wu , Yifan Hu , Naiqi Li , Tao Dai , Jigang Bao , Shu-tao Xia

The multivariate time series forecasting has attracted more and more attention because of its vital role in different fields in the real world, such as finance, traffic, and weather. In recent years, many research efforts have been proposed…

Machine Learning · Computer Science 2021-09-15 Wentao Xu , Weiqing Liu , Jiang Bian , Jian Yin , Tie-Yan Liu

This paper develops an approach for multi-step forecasting of dynamical systems by integrating probabilistic input forecasting with physics-informed output prediction. Accurate multi-step forecasting of time series systems is important for…

Machine Learning · Statistics 2026-01-13 Mahdi Nasiri , Johanna Kortelainen , Simo Särkkä

In the domain of multivariate time series analysis, the concept of channel independence has been increasingly adopted, demonstrating excellent performance due to its ability to eliminate noise and the influence of irrelevant variables.…

Machine Learning · Computer Science 2024-12-18 Haoxin Wang , Yipeng Mo , Kunlan Xiang , Nan Yin , Honghe Dai , Bixiong Li , Songhai Fan , Site Mo

This paper considers the problem of learning, from samples, the dependency structure of a system of linear stochastic differential equations, when some of the variables are latent. In particular, we observe the time evolution of some…

Machine Learning · Computer Science 2012-05-02 Ali Jalali , Sujay Sanghavi

We present a systematic, trend-following strategy, applied to commodity futures markets, that combines univariate trend indicators with cross-sectional trend indicators that capture so-called {\em momentum spillover}, which can occur when…

Trading and Market Microstructure · Quantitative Finance 2025-01-14 Linze Li , William Ferreira

Recent developments related to the energy transition pose particular challenges for distribution grids. Hence, precise load forecasts become more and more important for effective grid management. Novel modeling approaches such as the…

Machine Learning · Computer Science 2023-05-19 Elena Giacomazzi , Felix Haag , Konstantin Hopf