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Interpretable classification of time series presents significant challenges in high dimensions. Traditional feature selection methods in the frequency domain often assume sparsity in spectral density matrices (SDMs) or their inverses, which…

Machine Learning · Statistics 2024-08-19 Sarbojit Roy , Malik Shahid Sultan , Hernando Ombao

Probabilistic forecasting of multivariate time series is essential for various downstream tasks. Most existing approaches rely on the sequences being uniformly spaced and aligned across all variables. However, real-world multivariate time…

Machine Learning · Computer Science 2025-02-18 Yijun Li , Cheuk Hang Leung , Qi Wu

Recent studies have shown that by introducing prior knowledge, multi-scale analysis of complex and non-stationary time series in real environments can achieve good results in the field of long-term forecasting. However, affected by…

Machine Learning · Computer Science 2025-05-26 Bin Wang , Heming Yang , Jinfang Sheng

We study the performance of transformer architectures for multivariate time-series forecasting in low-data regimes consisting of only a few years of daily observations. Using synthetically generated processes with known temporal and…

Machine Learning · Computer Science 2026-02-11 Cyril Garcia , Guillaume Remy

Among the existing Transformer-based multivariate time series forecasting methods, iTransformer, which treats each variable sequence as a token and only explicitly extracts cross-variable dependencies, and PatchTST, which adopts a…

Machine Learning · Computer Science 2025-01-08 Liyang Qin , Xiaoli Wang , Chunhua Yang , Huaiwen Zou , Haochuan Zhang

Recent innovations in diffusion probabilistic models have paved the way for significant progress in image, text and audio generation, leading to their applications in generative time series forecasting. However, leveraging such abilities to…

Machine Learning · Computer Science 2025-11-07 Yuansan Liu , Sudanthi Wijewickrema , Dongting Hu , Christofer Bester , Stephen O'Leary , James Bailey

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

Time series data, including univariate and multivariate ones, are characterized by unique composition and complex multi-scale temporal variations. They often require special consideration of decomposition and multi-scale modeling to…

Machine Learning · Computer Science 2024-03-26 Shuhan Zhong , Sizhe Song , Weipeng Zhuo , Guanyao Li , Yang Liu , S. -H. Gary Chan

Multivariate time series forecasting is critical in many real-world systems, and thus modeling cross-channel dependencies is essential. Although existing methods improve overall accuracy by enhancing representations and cross-channel…

Machine Learning · Computer Science 2026-05-12 Fan Zhang , Shiming Fan , Hua Wang

Traffic flow forecasting is a crucial task in transportation management and planning. The main challenges for traffic flow forecasting are that (1) as the length of prediction time increases, the accuracy of prediction will decrease; (2)…

Artificial Intelligence · Computer Science 2024-05-13 Jianli Xiao , Baichao Long

Time series forecasting, which aims to predict future values based on historical data, has garnered significant attention due to its broad range of applications. However, real-world time series often exhibit complex non-uniform distribution…

Machine Learning · Computer Science 2025-10-02 Yanru Sun , Zongxia Xie , Emadeldeen Eldele , Dongyue Chen , Qinghua Hu , Min Wu

Linear Dynamical System (LDS) is an elegant mathematical framework for modeling and learning multivariate time series. However, in general, it is difficult to set the dimension of its hidden state space. A small number of hidden states may…

Artificial Intelligence · Computer Science 2013-12-04 Zitao Liu , Milos Hauskrecht

We introduce a novel deep learning approach that harnesses the power of generative artificial intelligence to enhance the accuracy of contextual forecasting in sewerage systems. By developing a diffusion-based model that processes…

Machine Learning · Computer Science 2025-06-11 Nicholas A. Pearson , Francesca Cairoli , Luca Bortolussi , Davide Russo , Francesca Zanello

In urban computing, precise and swift forecasting of multivariate time series data from traffic networks is crucial. This data incorporates additional spatial contexts such as sensor placements and road network layouts, and exhibits complex…

Machine Learning · Computer Science 2024-12-19 Tongtong Zhang , Zhiyong Cui , Bingzhang Wang , Yilong Ren , Haiyang Yu , Pan Deng , Yinhai Wang

Transformer-based models, despite their promise for long-term time series forecasting (LTSF), suffer from an inherent low-pass filtering effect that limits their effectiveness. This issue arises due to undifferentiated propagation of…

Machine Learning · Computer Science 2026-01-23 Jingjing Bai , Yoshinobu Kawahara

Training neural network models with discrete (categorical or structured) latent variables can be computationally challenging, due to the need for marginalization over large or combinatorial sets. To circumvent this issue, one typically…

Machine Learning · Computer Science 2020-12-29 Gonçalo M. Correia , Vlad Niculae , Wilker Aziz , André F. T. Martins

This study proposes a new framework to evolve efficacious yet parsimonious neural architectures for the movement prediction of stock market indices using technical indicators as inputs. In the light of a sparse signal-to-noise ratio under…

Neural and Evolutionary Computing · Computer Science 2021-11-17 Faizal Hafiz , Jan Broekaert , Davide La Torre , Akshya Swain

Sparse deep learning has become a popular technique for improving the performance of deep neural networks in areas such as uncertainty quantification, variable selection, and large-scale network compression. However, most existing research…

Machine Learning · Statistics 2023-10-06 Mingxuan Zhang , Yan Sun , Faming Liang

Time series forecasting (TSF) is critical across domains such as finance, meteorology, and energy. While extending the lookback window theoretically provides richer historical context, in practice, it often introduces irrelevant noise and…

Machine Learning · Computer Science 2026-04-03 Xiang Ao , Yinyu Tan , Mengru Chen

In this paper, we consider multiple signals sharing same instantaneous frequencies. This kind of data is very common in scientific and engineering problems. To take advantage of this special structure, we modify our data-driven…

Information Theory · Computer Science 2015-07-09 Thomas Y. Hou , Zuoqiang Shi