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Time-series forecasting has seen significant advancements with the introduction of token prediction mechanisms such as multi-head attention. However, these methods often struggle to achieve the same performance as in language modeling,…

Machine Learning · Computer Science 2024-12-03 Panayiotis Christou , Shichu Chen , Xupeng Chen , Parijat Dube

Recent advances in deep forecasting models have achieved remarkable performance, yet most approaches still struggle to provide both accurate predictions and interpretable insights into temporal dynamics. This paper proposes CaReTS, a novel…

Machine Learning · Computer Science 2025-11-14 Fulong Yao , Wanqing Zhao , Chao Zheng , Xiaofei Han

Accurate and efficient multivariate time series (MTS) analysis is increasingly critical for a wide range of intelligent applications. Within this realm, Transformers have emerged as the predominant architecture due to their strong ability…

Machine Learning · Computer Science 2026-05-19 Rui An , Haohao Qu , Wenqi Fan , Xuequn Shang , Qing Li

Irregular multivariate time series impose a trade-off for long-horizon forecasting: discrete methods can distort temporal structure via re-gridding, while continuous-time models often require sequential solvers prone to drift. To bridge…

Machine Learning · Computer Science 2026-05-20 Zinuo You , Jin Zheng , John Cartlidge

Canonical correlation analysis (CCA) is a classical representation learning technique for finding correlated variables in multi-view data. Several nonlinear extensions of the original linear CCA have been proposed, including kernel and deep…

Machine Learning · Computer Science 2016-02-09 Tomer Michaeli , Weiran Wang , Karen Livescu

Long-term time series forecasting (LTSF) is hampered by the challenge of modeling complex dependencies that span multiple temporal scales and frequency resolutions. Existing methods, including Transformer and MLP-based models, often…

Machine Learning · Computer Science 2025-09-22 Qianyang Li , Xingjun Zhang , Shaoxun Wang , Jia Wei

Effectively modeling non-stationary dynamics in probabilistic multivariate time series(MTS) forecasting requires balancing expressiveness with robustness. Existing parametric approaches benefit from strong inductive biases but lack…

Machine Learning · Computer Science 2026-05-25 Jinglin Li , Jun Tan , QI Fang , Ning Gui

Time series forecasting has received wide interest from existing research due to its broad applications and inherent challenging. The research challenge lies in identifying effective patterns in historical series and applying them to future…

Machine Learning · Computer Science 2023-07-14 Tianlong Zhao , Xiang Ma , Xuemei Li , Caiming Zhang

Continual learning is a fundamental challenge in artificial intelligence that requires networks to acquire new knowledge while preserving previously learned representations. Despite the success of various approaches, most existing paradigms…

Machine Learning · Computer Science 2026-02-24 Patryk Krukowski , Jan Miksa , Piotr Helm , Jacek Tabor , Paweł Wawrzyński , Przemysław Spurek

Canonical correlation analysis (CCA) is a fundamental statistical tool for exploring the correlation structure between two sets of random variables. In this paper, motivated by recent success of applying CCA to learn low dimensional…

Statistics Theory · Mathematics 2018-01-23 Zhuang Ma , Xiaodong Li

As industrial systems become more complex and monitoring sensors for everything from surveillance to our health become more ubiquitous, multivariate time series prediction is taking an important place in the smooth-running of our society. A…

Machine Learning · Computer Science 2022-03-03 Fan Jin , Ke Zhang , Yipan Huang , Yifei Zhu , Baiping Chen

Time series forecasting serves as an essential tool for many real-world applications, supporting tasks such as resource optimization and decision-making. Despite significant architectural advancements, most modern models still treat…

Machine Learning · Computer Science 2026-05-12 Sheng Pan , Ming Jin , Bo Du , Shirui Pan

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

Pre-trained foundation models (FMs) have shown exceptional performance in univariate time series forecasting tasks. However, several practical challenges persist, including managing intricate dependencies among features and quantifying…

We introduce a novel modeling approach for time series imputation and forecasting, tailored to address the challenges often encountered in real-world data, such as irregular samples, missing data, or unaligned measurements from multiple…

Time series data in real-world scenarios contain a substantial amount of nonlinear information, which significantly interferes with the training process of models, leading to decreased prediction performance. Therefore, during the time…

Machine Learning · Computer Science 2024-06-05 Dandan Zhang , Zhiqiang Zhang , Nanguang Chen , Yun Wang

We study the stochastic optimization of canonical correlation analysis (CCA), whose objective is nonconvex and does not decouple over training samples. Although several stochastic gradient based optimization algorithms have been recently…

Machine Learning · Computer Science 2016-11-15 Weiran Wang , Jialei Wang , Dan Garber , Nathan Srebro

The attention mechanism has demonstrated remarkable potential in sequence modeling, exemplified by its successful application in natural language processing with models such as Bidirectional Encoder Representations from Transformers (BERT)…

Machine Learning · Computer Science 2025-11-26 Bowen Zhao , Huanlai Xing , Zhiwen Xiao , Jincheng Peng , Li Feng , Xinhan Wang , Rong Qu , Hui Li

Accurately modeling the correlation structure of errors is critical for reliable uncertainty quantification in probabilistic time series forecasting. While recent deep learning models for multivariate time series have developed efficient…

Machine Learning · Statistics 2024-11-11 Vincent Zhihao Zheng , Lijun Sun

Time Series Foundation Models (TSFMs) have recently achieved state-of-the-art performance in univariate forecasting on new time series simply by conditioned on a brief history of past values. Their success demonstrates that large-scale…

Machine Learning · Computer Science 2025-09-18 Afrin Dange , Sunita Sarawagi