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In this paper, we present \textbf{vLinear}, an effective yet efficient \textbf{linear}-based multivariate time series forecaster featuring two components: the \textbf{v}ecTrans module and the WFMLoss objective. Many state-of-the-art…

Machine Learning · Computer Science 2026-01-21 Wenzhen Yue , Ruohao Guo , Ji Shi , Zihan Hao , Shiyu Hu , Xianghua Ying

Predicting future trajectories of traffic agents in highly interactive environments is an essential and challenging problem for the safe operation of autonomous driving systems. On the basis of the fact that self-driving vehicles are…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Chiho Choi , Joon Hee Choi , Jiachen Li , Srikanth Malla

Predicting future trajectories of traffic agents in highly interactive environments is an essential and challenging problem for the safe operation of autonomous driving systems. On the basis of the fact that self-driving vehicles are…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Chiho Choi , Joon Hee Choi , Srikanth Malla , Jiachen Li

Time series forecasting is crucial for decision-making across various domains, particularly in financial markets where stock prices exhibit complex and non-linear behaviors. Accurately predicting future price movements is challenging due to…

General Economics · Economics 2025-04-29 Tiantian Tu

Time series forecasting is an important task in many fields ranging from supply chain management to weather forecasting. Recently, Transformer neural network architectures have shown promising results in forecasting on common time series…

Machine Learning · Computer Science 2024-08-08 Rares Cristian , Pavithra Harsha , Clemente Ocejo , Georgia Perakis , Brian Quanz , Ioannis Spantidakis , Hamza Zerhouni

Multivariate time series forecasting poses an ongoing challenge across various disciplines. Time series data often exhibit diverse intra-series and inter-series correlations, contributing to intricate and interwoven dependencies that have…

Machine Learning · Computer Science 2024-01-02 Wanlin Cai , Yuxuan Liang , Xianggen Liu , Jianshuai Feng , Yuankai Wu

Exogenous variables offer valuable supplementary information for predicting future endogenous variables. Forecasting with exogenous variables needs to consider both past-to-future dependencies (i.e., temporal correlations) and the influence…

Machine Learning · Computer Science 2026-05-04 Zhengyu Li , Xiangfei Qiu , Yuhan Zhu , Xingjian Wu , Jilin Hu , Chenjuan Guo , Bin Yang

Many real-life applications involve simultaneously forecasting multiple time series that are hierarchically related via aggregation or disaggregation operations. For instance, commercial organizations often want to forecast inventories…

Machine Learning · Computer Science 2021-02-26 Xing Han , Sambarta Dasgupta , Joydeep Ghosh

Since its introduction, the transformer has shifted the development trajectory away from traditional models (e.g., RNN, MLP) in time series forecasting, which is attributed to its ability to capture global dependencies within temporal…

Machine Learning · Computer Science 2025-01-07 Xiwen Chen , Peijie Qiu , Wenhui Zhu , Huayu Li , Hao Wang , Aristeidis Sotiras , Yalin Wang , Abolfazl Razi

Although contrastive and other representation-learning methods have long been explored in vision and NLP, their adoption in modern time series forecasters remains limited. We believe they hold strong promise for this domain. To unlock this…

Machine Learning · Computer Science 2026-03-26 Yifan Hu , Jie Yang , Tian Zhou , Peiyuan Liu , Yujin Tang , Rong Jin , Liang Sun

Deep learning utilizing transformers has recently achieved a lot of success in many vital areas such as natural language processing, computer vision, anomaly detection, and recommendation systems, among many others. Among several merits of…

Machine Learning · Computer Science 2023-12-05 Lena Sasal , Tanujit Chakraborty , Abdenour Hadid

We propose causal isotonic calibration, a novel nonparametric method for calibrating predictors of heterogeneous treatment effects. Furthermore, we introduce cross-calibration, a data-efficient variant of calibration that eliminates the…

Machine Learning · Statistics 2023-06-07 Lars van der Laan , Ernesto Ulloa-Pérez , Marco Carone , Alex Luedtke

Time series forecasting is a significant problem in many applications, e.g., financial predictions and business optimization. Modern datasets can have multiple correlated time series, which are often generated with global (shared)…

Machine Learning · Computer Science 2021-11-10 Ling Chen , Weiqi Chen , Binqing Wu , Youdong Zhang , Bo Wen , Chenghu Yang

Time series forecasting is important in many fields that require accurate predictions for decision-making. Patching techniques, commonly used and effective in time series modeling, help capture temporal dependencies by dividing the data…

Machine Learning · Computer Science 2026-02-03 Xiangfei Qiu , Xvyuan Liu , Tianen Shen , Xingjian Wu , Hanyin Cheng , Bin Yang , Jilin Hu

Time series forecasting has attracted significant attention in the field of AI. Previous works have revealed that the Channel-Independent (CI) strategy improves forecasting performance by modeling each channel individually, but it often…

Machine Learning · Computer Science 2026-03-17 Dongyuan Li , Shun Zheng , Chang Xu , Jiang Bian , Renhe Jiang

Multivariate time series forecasting is essential in domains such as finance, transportation, climate, and energy. However, existing patch-based methods typically adopt fixed-length segmentation, overlooking the heterogeneity of local…

Machine Learning · Computer Science 2026-01-06 Kuiye Ding , Fanda Fan , Chunyi Hou , Zheya Wang , Lei Wang , Zhengxin Yang , Jianfeng Zhan

Time series anomaly detection plays a crucial role in a wide range of real-world applications. Given that time series data can exhibit different patterns at different sampling granularities, multi-scale modeling has proven beneficial for…

Machine Learning · Computer Science 2025-10-15 Beibu Li , Qichao Shentu , Yang Shu , Hui Zhang , Ming Li , Ning Jin , Bin Yang , Chenjuan Guo

Time series forecasting remains a central challenge problem in almost all scientific disciplines. We introduce a novel load forecasting method in which observed dynamics are modeled as a forced linear system using Dynamic Mode Decomposition…

Physics and Society · Physics 2021-07-13 Daniel Dylewsky , David Barajas-Solano , Tong Ma , Alexandre M. Tartakovsky , J. Nathan Kutz

Multivariate time series forecasting is crucial for various applications, such as financial investment, energy management, weather forecasting, and traffic optimization. However, accurate forecasting is challenging due to two main factors.…

Machine Learning · Computer Science 2025-01-13 Xiangfei Qiu , Xingjian Wu , Yan Lin , Chenjuan Guo , Jilin Hu , Bin Yang

Existing conformal prediction algorithms estimate prediction intervals at target confidence levels to characterize the performance of a regression model on new test samples. However, considering an autonomous system consisting of multiple…

Machine Learning · Computer Science 2023-09-25 Yunye Gong , Yi Yao , Xiao Lin , Ajay Divakaran , Melinda Gervasio