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Multivariate time series forecasting is an important yet challenging problem in machine learning. Most existing approaches only forecast the series value of one future moment, ignoring the interactions between predictions of future moments…

Machine Learning · Computer Science 2019-12-12 Jiezhu Cheng , Kaizhu Huang , Zibin Zheng

The past few years have witnessed the rapid development in multivariate time series forecasting. The key to accurate forecasting results is capturing the long-term dependency between each time step (cross-time dependency) and modeling the…

Machine Learning · Computer Science 2023-06-06 Donghao Luo , Xue Wang

Quantifying predictive uncertainty is essential for safe and trustworthy real-world AI deployment. Yet, fully nonparametric estimation of conditional distributions remains challenging for multivariate targets. We propose Tomographic…

Machine Learning · Computer Science 2026-04-06 Takuya Kanazawa

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

In recent years, deep-learning-based approaches have been introduced to solving time-series forecasting-related problems. These novel methods have demonstrated impressive performance in univariate and low-dimensional multivariate…

Machine Learning · Computer Science 2022-12-07 Weiyu Zong , Mingqian Feng , Griffin Heyrich , Peter Chin

We introduce the concept of multiple temporal perspectives, a novel approach applicable to Recurrent Neural Network (RNN) architectures for enhancing their understanding of sequential data. This method involves maintaining diverse temporal…

Machine Learning · Computer Science 2024-07-15 Razvan-Gabriel Dumitru , Darius Peteleaza , Mihai Surdeanu

Financial time-series forecasting has long been a challenging problem because of the inherently noisy and stochastic nature of the market. In the High-Frequency Trading (HFT), forecasting for trading purposes is even a more challenging task…

Computational Engineering, Finance, and Science · Computer Science 2019-06-11 Dat Thanh Tran , Alexandros Iosifidis , Juho Kanniainen , Moncef Gabbouj

Multivariate time series are routinely encountered in real-world applications, and in many cases, these time series are strongly correlated. In this paper, we present a deep learning structural time series model which can (i) handle…

Machine Learning · Statistics 2020-01-03 Changwei Hu , Yifan Hu , Sungyong Seo

Time series forecasting is extensively applied across diverse domains. Transformer-based models demonstrate significant potential in modeling cross-time and cross-variable interaction. However, we notice that the cross-variable correlation…

Machine Learning · Computer Science 2024-10-08 Ao Hu , Dongkai Wang , Yong Dai , Shiyi Qi , Liangjian Wen , Jun Wang , Zhi Chen , Xun Zhou , Zenglin Xu , Jiang Duan

Recently, the incorporation of both temporal features and the correlation across time series has become an effective approach in time series prediction. Spatio-Temporal Graph Neural Networks (STGNNs) demonstrate good performance on many…

Machine Learning · Computer Science 2024-07-29 Wenbo Yan , Ying Tan

Although deep networks have been widely adopted, one of their shortcomings has been their blackbox nature. One particularly difficult problem in machine learning is multivariate time series (MVTS) classification. MVTS data arise in many…

Machine Learning · Computer Science 2020-08-04 Naveen Madiraju , Homa Karimabadi

Fault diagnosis in multimode processes plays a critical role in ensuring the safe operation of industrial systems across multiple modes. It faces a great challenge yet to be addressed - that is, the significant distributional differences…

Machine Learning · Computer Science 2025-07-24 Guangqiang Li , M. Amine Atoui , Xiangshun Li

Recent work has shown the efficiency of deep learning models such as Fully Convolutional Networks (FCN) or Recurrent Neural Networks (RNN) to deal with Time Series Regression (TSR) problems. These models sometimes need a lot of data to be…

Machine Learning · Computer Science 2021-11-03 Sebastian Pineda Arango , Felix Heinrich , Kiran Madhusudhanan , Lars Schmidt-Thieme

Estimating the covariance structure of multivariate time series is a fundamental problem with a wide-range of real-world applications -- from financial modeling to fMRI analysis. Despite significant recent advances, current state-of-the-art…

Machine Learning · Computer Science 2021-02-12 Hrayr Harutyunyan , Daniel Moyer , Hrant Khachatrian , Greg Ver Steeg , Aram Galstyan

Time series forecasting is essential for a wide range of real-world applications. Recent studies have shown the superiority of Transformer in dealing with such problems, especially long sequence time series input(LSTI) and long sequence…

Machine Learning · Computer Science 2022-02-15 Li Shen , Yangzhu Wang

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

Time series forecasting is a key component in many industrial and business decision processes and recurrent neural network (RNN) based models have achieved impressive progress on various time series forecasting tasks. However, most of the…

Machine Learning · Computer Science 2021-01-26 Zekai Chen , Jiaze E , Xiao Zhang , Hao Sheng , Xiuzheng Cheng

Regression problems with time-series predictors are common in banking and many other areas of application. In this paper, we use multi-head attention networks to develop interpretable features and use them to achieve good predictive…

Machine Learning · Computer Science 2022-05-26 Tianjie Wang , Jie Chen , Joel Vaughan , Vijayan N. Nair

In recent years, both online and offline deep learning models have been developed for time series forecasting. However, offline deep forecasting models fail to adapt effectively to changes in time-series data, while online deep forecasting…

Machine Learning · Computer Science 2024-02-06 Mohamed Mejri , Chandramouli Amarnath , Abhijit Chatterjee

The growing availability and importance of time series data across various domains, including environmental science, epidemiology, and economics, has led to an increasing need for time-series causal discovery methods that can identify the…

Machine Learning · Computer Science 2024-04-03 Omar Faruque , Sahara Ali , Xue Zheng , Jianwu Wang