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In order to enhance the performance of Transformer models for long-term multivariate forecasting while minimizing computational demands, this paper introduces the Joint Time-Frequency Domain Transformer (JTFT). JTFT combines time and…

Machine Learning · Computer Science 2023-10-31 Yushu Chen , Shengzhuo Liu , Jinzhe Yang , Hao Jing , Wenlai Zhao , Guangwen Yang

The non-stationary nature of real-world Multivariate Time Series (MTS) data presents forecasting models with a formidable challenge of the time-variant distribution of time series, referred to as distribution shift. Existing studies on the…

Machine Learning · Computer Science 2024-07-19 Hui He , Qi Zhang , Kun Yi , Xiaojun Xue , Shoujin Wang , Liang Hu , Longbing Cao

Large Language Models (LLMs) and Foundation Models (FMs) have recently become prevalent for time series forecasting tasks. While fine-tuning LLMs enables domain adaptation, they often struggle to generalize across diverse and unseen…

Within the field of complicated multivariate time series forecasting (TSF), popular techniques frequently rely on intricate deep learning architectures, ranging from transformer-based designs to recurrent neural networks. However, recent…

Machine Learning · Computer Science 2023-12-25 Aiyinsi Zuo , Haixi Zhang , Zirui Li , Ce Zheng

Multivariate time series (MTS) forecasting has shown great importance in numerous industries. Current state-of-the-art graph neural network (GNN)-based forecasting methods usually require both graph networks (e.g., GCN) and temporal…

Machine Learning · Computer Science 2023-11-13 Kun Yi , Qi Zhang , Wei Fan , Hui He , Liang Hu , Pengyang Wang , Ning An , Longbing Cao , Zhendong Niu

Time series forecasting has played a pivotal role across various industries, including finance, transportation, energy, healthcare, and climate. Due to the abundant seasonal information they contain, timestamps possess the potential to…

Machine Learning · Computer Science 2024-11-21 Chengsen Wang , Qi Qi , Jingyu Wang , Haifeng Sun , Zirui Zhuang , Jinming Wu , Jianxin Liao

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

Time series forecasting uses historical data to predict future trends, leveraging the relationships between past observations and available features. In this paper, we propose RAFT, a retrieval-augmented time series forecasting method to…

Machine Learning · Computer Science 2025-05-08 Sungwon Han , Seungeon Lee , Meeyoung Cha , Sercan O Arik , Jinsung Yoon

Real-world time series often exhibit complex interdependencies that cannot be captured in isolation. Global models that model past data from multiple related time series globally while producing series-specific forecasts locally are now…

Machine Learning · Computer Science 2024-05-14 Abishek Sriramulu , Christoph Bergmeir , Slawek Smyl

There has been a recent surge of interest in time series modeling using the Transformer architecture. However, forecasting multivariate time series with Transformer presents a unique challenge as it requires modeling both temporal…

Machine Learning · Computer Science 2025-07-04 Yu-Hsiang Lan , Eric K. Oermann

Time Series Forecasting (TSF) is an important application across many fields. There is a debate about whether Transformers, despite being good at understanding long sequences, struggle with preserving temporal relationships in time series…

Machine Learning · Computer Science 2025-10-20 Syed Tahir Hussain Rizvi , Neel Kanwal , Muddasar Naeem

Multi-horizon forecasting problems often contain a complex mix of inputs -- including static (i.e. time-invariant) covariates, known future inputs, and other exogenous time series that are only observed historically -- without any prior…

Machine Learning · Statistics 2020-09-29 Bryan Lim , Sercan O. Arik , Nicolas Loeff , Tomas Pfister

Multivariate time series forecasting (MTSF) often faces challenges from missing variables, which hinder conventional spatial-temporal graph neural networks in modeling inter-variable correlations. While GinAR addresses variable missing…

Machine Learning · Computer Science 2025-09-10 Shusen Ma , Tianhao Zhang , Qijiu Xia , Yun-Bo Zhao

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

Although the rise of large language models (LLMs) has introduced new opportunities for time series forecasting, existing LLM-based solutions require excessive training and exhibit limited transferability. In view of these challenges, we…

Artificial Intelligence · Computer Science 2024-12-24 Silin Yang , Dong Wang , Haoqi Zheng , Ruochun Jin

Long-term time-series forecasting (LTTF) has become a pressing demand in many applications, such as wind power supply planning. Transformer models have been adopted to deliver high prediction capacity because of the high computational…

Machine Learning · Computer Science 2023-01-06 Yan Li , Xinjiang Lu , Haoyi Xiong , Jian Tang , Jiantao Su , Bo Jin , Dejing Dou

Recent advancements in long-term time series forecasting (LTSF) have primarily focused on capturing cross-time and cross-variate (channel) dependencies within historical data. However, a critical aspect often overlooked by many existing…

Machine Learning · Computer Science 2024-12-03 Chaolv Zeng , Yuan Tian , Guanjie Zheng , Yunjun Gao

Global Forecasting Models (GFM) that are trained across a set of multiple time series have shown superior results in many forecasting competitions and real-world applications compared with univariate forecasting approaches. One aspect of…

Machine Learning · Computer Science 2021-11-16 Dilini Rajapaksha , Christoph Bergmeir , Rob J Hyndman

Accurate forecasting of sequential data streams is a cornerstone of modern Web services, supporting applications such as traffic management, user behavior modeling, and online anomaly prevention. However, in many Web environments, new…

Machine Learning · Computer Science 2026-02-02 Shichao Ma , Zhengyang Zhou , Qihe Huang , Binwu Wang , Yang Wang

This paper aims at improving predictive crime models by extending the mathematical framework of Artificial Neural Networks (ANNs) tailored to general spatiotemporal problems and appropriately applying them. Recent advancements in the…

Machine Learning · Computer Science 2025-04-01 Nicholas Robert Fisk , Matthew Ng Kok Ming , Zahratu Shabrina