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Long-term time series forecasting (LTSF) is important for various domains but is confronted by challenges in handling the complex temporal-contextual relationships. As multivariate input models underperforming some recent univariate…

机器学习 · 统计学 2026-02-06 Jiecheng Lu , Xu Han , Shihao Yang

The so-called block-term decomposition (BTD) tensor model, especially in its rank-$(L_r,L_r,1)$ version, has been recently receiving increasing attention due to its enhanced ability of representing systems and signals that are composed of…

State Space Models (SSMs), particularly Mamba, have shown potential in long-term time series forecasting. However, existing Mamba-based architectures often struggle with datasets characterized by non-stationary patterns. A key observation…

机器学习 · 计算机科学 2026-02-11 Ruxuan Chen , Fang Sun

Real-world multichannel time series prediction faces growing demands for efficiency across edge and cloud environments, making channel compression a timely and essential problem. Motivated by the success of Multiple-Input Multiple-Output…

机器学习 · 计算机科学 2026-01-30 Ziqi Liu , Pei Zeng , Yi Ding

Higher-order data with high dimensionality is of immense importance in many areas of machine learning, computer vision, and video analytics. Multidimensional arrays (commonly referred to as tensors) are used for arranging higher-order data…

机器学习 · 计算机科学 2022-05-20 Cagri Ozdemir , Randy C. Hoover , Kyle Caudle , Karen Braman

The investment on the stock market is prone to be affected by the Internet. For the purpose of improving the prediction accuracy, we propose a multi-task stock prediction model that not only considers the stock correlations but also…

机器学习 · 计算机科学 2018-05-22 Jieyun Huang , Yunjia Zhang , Jialai Zhang , Xi Zhang

Transformer-based and MLP-based methods have emerged as leading approaches in time series forecasting (TSF). While Transformer-based methods excel in capturing long-range dependencies, they suffer from high computational complexities and…

机器学习 · 计算机科学 2025-04-16 Yifan Hu , Peiyuan Liu , Peng Zhu , Dawei Cheng , Tao Dai

Time series forecasting is widely used in extensive applications, such as traffic planning and weather forecasting. However, real-world time series usually present intricate temporal variations, making forecasting extremely challenging.…

机器学习 · 计算机科学 2024-05-24 Shiyu Wang , Haixu Wu , Xiaoming Shi , Tengge Hu , Huakun Luo , Lintao Ma , James Y. Zhang , Jun Zhou

We present the method of complementary ensemble empirical mode decomposition (CEEMD) and Hilbert-Huang transform (HHT) for analyzing nonstationary financial time series. This noise-assisted approach decomposes any time series into a number…

计算金融 · 定量金融 2021-05-25 Tim Leung , Theodore Zhao

Spatiotemporal traffic data (e.g., link speed/flow) collected from sensor networks can be organized as multivariate time series with additional spatial attributes. A crucial task in analyzing such data is to identify and detect anomalous…

机器学习 · 计算机科学 2021-10-12 Xudong Wang , Luis Miranda-Moreno , Lijun Sun

We consider tensor data completion of an incomplete observation of multidimensional harmonic (MH) signals. Unlike existing tensor-based techniques for MH retrieval (MHR), which mostly adopt the canonical polyadic decomposition (CPD) to…

信号处理 · 电气工程与系统科学 2025-01-28 Lei Wang , Xiao-Feng Gong , Xi-Yuan Liu , Wei Feng , Qiu-Hua Lin

Aggregation constraints, arising from geographical or sectoral division, frequently emerge in a large set of time series. Coherent forecasts of these constrained series are anticipated to conform to their hierarchical structure organized by…

应用统计 · 统计学 2026-02-27 Zhichao Wang , Shanshan Wang , Wei Cao , Fei Yang

Randomization has emerged as a powerful set of tools for large-scale matrix and tensor decompositions. Randomized algorithms involve computing sketches with random matrices. A prevalent approach is to take the random matrix as a standard…

数值分析 · 数学 2026-04-02 Arvind K. Saibaba , Bhisham Dev Verma , Grey Ballard

The tensor-train (TT) format is a data-sparse tensor representation commonly used in high dimensional function approximations arising from computational and data sciences. Various sequential and parallel TT decomposition algorithms have…

数值分析 · 数学 2025-09-05 Tianyi Shi , Daniel Hayes , Jing-Mei Qiu

Large pre-trained models excel in zero/few-shot learning for language and vision tasks but face challenges in multivariate time series (TS) forecasting due to diverse data characteristics. Consequently, recent research efforts have focused…

Tensor train (TT) format is a common approach for computationally efficient work with multidimensional arrays, vectors, matrices, and discretized functions in a wide range of applications, including computational mathematics and machine…

数值分析 · 数学 2022-09-30 Andrei Chertkov , Gleb Ryzhakov , Georgii Novikov , Ivan Oseledets

Forecasting of time series in continuous systems becomes an increasingly relevant task due to recent developments in IoT and 5G. The popular forecasting model ARIMA is applied to a large variety of applications for decades. An online…

机器学习 · 计算机科学 2021-01-26 Kevin Styp-Rekowski , Florian Schmidt , Odej Kao

An increasing amount of collected data are high-dimensional multi-way arrays (tensors), and it is crucial for efficient learning algorithms to exploit this tensorial structure as much as possible. The ever-present curse of dimensionality…

机器学习 · 计算机科学 2021-08-04 Kirandeep Kour , Sergey Dolgov , Martin Stoll , Peter Benner

Human trajectory forecasting requires capturing the multimodal nature of pedestrian behavior. However, existing approaches suffer from prior misalignment. Their learned or fixed priors often fail to capture the full distribution of…

计算机视觉与模式识别 · 计算机科学 2026-04-15 Chao Li , Rui Zhang , Siyuan Huang , Xian Zhong , Hongbo Jiang

Accurate trajectory forecasting is crucial for the performance of various systems, such as advanced driver-assistance systems and self-driving vehicles. These forecasts allow us to anticipate events that lead to collisions and, therefore,…

计算机视觉与模式识别 · 计算机科学 2025-01-08 Adrien Lafage , Mathieu Barbier , Gianni Franchi , David Filliat