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Timeseries analytics is of great importance in many real-world applications. Recently, the Transformer model, popular in natural language processing, has been leveraged to learn high quality feature embeddings from timeseries, core to the…

Machine Learning · Computer Science 2023-06-06 Jiaming Liang , Lei Cao , Samuel Madden , Zachary Ives , Guoliang Li

Accurate forecasting of multivariate time series remains challenging due to the need to capture both short-term fluctuations and long-range temporal dependencies. Transformer-based models have emerged as a powerful approach, but their…

Machine Learning · Computer Science 2026-03-26 Aymane Harkati , Moncef Garouani , Olivier Teste , Julien Aligon , Mohamed Hamlich

Multivariate time series forecasting plays a crucial role in various fields such as finance, traffic management, energy, and healthcare. Recent studies have highlighted the advantages of channel independence to resist distribution drift but…

Machine Learning · Computer Science 2024-11-19 Lu Han , Xu-Yang Chen , Han-Jia Ye , De-Chuan Zhan

Sufficiently modeling the correlations among variables (aka channels) is crucial for achieving accurate multivariate time series forecasting (MTSF). In this paper, we propose a novel technique called Temporal Query (TQ) to more effectively…

Machine Learning · Computer Science 2025-09-12 Shengsheng Lin , Haojun Chen , Haijie Wu , Chunyun Qiu , Weiwei Lin

For Multivariate Time Series Forecasting (MTSF), recent deep learning applications show that univariate models frequently outperform multivariate ones. To address the difficiency in multivariate models, we introduce a method to Construct…

Machine Learning · Statistics 2026-02-06 Jiecheng Lu , Xu Han , Yan Sun , Shihao Yang

Time series forecasting has recently achieved significant progress with multi-scale models to address the heterogeneity between long and short range patterns. Despite their state-of-the-art performance, we identify two potential areas for…

Machine Learning · Computer Science 2025-02-18 Zihao Wu , Juncheng Dong , Haoming Yang , Vahid Tarokh

We propose a new copula model for replicated multivariate spatial data. Unlike classical models that assume multivariate normality of the data, the proposed copula is based on the assumption that some factors exist that affect the joint…

Applications · Statistics 2018-10-12 Pavel Krupskii , Marc G. Genton

We tackle the problem of multi-task learning with copula process. Multivariable prediction in spatial and spatial-temporal processes such as natural resource estimation and pollution monitoring have been typically addressed using techniques…

Machine Learning · Computer Science 2014-06-03 Markus Schneider , Fabio Ramos

We explore the promising performance of a transformer model in predicting outputs of parametric dynamical systems with external time-varying input signals. The outputs of such systems vary not only with physical parameters but also with…

Machine Learning · Computer Science 2025-05-02 Shuwen Sun , Lihong Feng , Peter Benner

There has been a recent surge of interest in time series modeling using the Transformer architecture. However, forecasting multivariate time series with Transformer presents a unique challenge as it requires modeling both temporal…

Machine Learning · Computer Science 2025-07-04 Yu-Hsiang Lan , Eric K. Oermann

Stochastic nonlinear dynamical systems can undergo rapid transitions relative to the change in their forcing, for example due to the occurrence of multiple equilibrium solutions for a specific interval of parameters. In this paper, we…

Data Analysis, Statistics and Probability · Physics 2020-11-12 S. Baars , D. Castellana , F. W. Wubs , H. A. Dijkstra

Multivariate time series (MTS) forecasting is vital across various domains but remains challenging due to the need to simultaneously model temporal and inter-variate dependencies. Existing channel-dependent models, where Transformer-based…

Machine Learning · Computer Science 2025-02-03 Junwoo Ha , Hyukjae Kwon , Sungsoo Kim , Kisu Lee , Seungjae Park , Ha Young Kim

Active Test-Time Adaptation (ATTA) improves model robustness under domain shift by selectively querying human annotations at deployment, but existing methods use heuristic uncertainty measures and suffer from low data selection efficiency,…

Machine Learning · Computer Science 2025-10-01 Tingyu Shi , Fan Lyu , Shaoliang Peng

Coordination recognition and subtle pattern prediction of future trajectories play a significant role when modeling interactive behaviors of multiple agents. Due to the essential property of uncertainty in the future evolution,…

Robotics · Computer Science 2019-05-03 Jiachen Li , Hengbo Ma , Wei Zhan , Masayoshi Tomizuka

Spatiotemporal prediction of event data is a challenging task with a long history of research. While recent work in spatiotemporal prediction has leveraged deep sequential models that substantially improve over classical approaches, these…

Machine Learning · Computer Science 2021-10-06 Yi Sui , Ga Wu , Scott Sanner

Multivariate time-series data are frequently observed in critical care settings and are typically characterized by sparsity (missing information) and irregular time intervals. Existing approaches for learning representations in this domain…

Machine Learning · Computer Science 2022-02-17 Sindhu Tipirneni , Chandan K. Reddy

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…

We introduce a novel framework for temporal causal discovery and inference that addresses two key challenges: complex nonlinear dependencies and spurious correlations. Our approach employs a multi-layer Transformer-based time-series…

Machine Learning · Computer Science 2025-08-25 Jihua Huang , Yi Yao , Ajay Divakaran

Time series forecasting has seen considerable improvement during the last years, with transformer models and large language models driving advancements of the state of the art. Modern forecasting models are generally opaque and do not…

Machine Learning · Computer Science 2025-11-18 Tim Kreuzer , Jelena Zdravkovic , Panagiotis Papapetrou

Forecasting multivariate time series data, such as prediction of electricity consumption, solar power production, and polyphonic piano pieces, has numerous valuable applications. However, complex and non-linear interdependencies between…

Machine Learning · Computer Science 2019-09-20 Shun-Yao Shih , Fan-Keng Sun , Hung-yi Lee