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Forecasting the evolution of complex systems is one of the grand challenges of modern data science. The fundamental difficulty lies in understanding the structure of the observed stochastic process. In this paper, we show that every…

Statistics Theory · Mathematics 2020-01-01 Xiucai Ding , Zhou Zhou

As the role played by statistical and computational sciences in climate and environmental modelling and prediction becomes more important, Machine Learning researchers are becoming more aware of the relevance of their work to help tackle…

Machine Learning · Statistics 2020-12-23 Federico Amato , Fabian Guignard , Sylvain Robert , Mikhail Kanevski

Generative modeling offers a promising solution to data scarcity and privacy challenges in time series analysis. However, the structural complexity of time series, characterized by multi-scale temporal patterns and heterogeneous components,…

Machine Learning · Computer Science 2026-01-19 Xiangyu Xu , Qingsong Zhong , Jilin Hu

Systems are commonly monitored for health and security through collection and streaming of multivariate time series. Advances in time series forecasting due to adoption of multilayer recurrent neural network architectures make it possible…

Machine Learning · Statistics 2022-03-10 Oshri Barazani , David Tolpin

Multivariate time series forecasting, which analyzes historical time series to predict future trends, can effectively help decision-making. Complex relations among variables in MTS, including static, dynamic, predictable, and latent…

Machine Learning · Computer Science 2021-12-16 Yueyang Wang , Ziheng Duan , Yida Huang , Haoyan Xu , Jie Feng , Anni Ren

We introduce a temporal feature encoding architecture called Time Series Representation Model (TSRM) for multivariate time series forecasting and imputation. The architecture is structured around CNN-based representation layers, each…

Machine Learning · Computer Science 2025-04-29 Robert Leppich , Michael Stenger , Daniel Grillmeyer , Vanessa Borst , Samuel Kounev

While existing multivariate time series forecasting models have advanced significantly in modeling periodicity, they largely neglect the periodic heterogeneity common in real-world data, where variables exhibit distinct and dynamically…

Machine Learning · Computer Science 2026-03-03 Jiaming Ma , Qihe Huang , Haofeng Ma , Guanjun Wang , Sheng Huang , Zhengyang Zhou , Pengkun Wang , Binwu Wang , Yang Wang

Generating forecasts for time series with multiple seasonal cycles is an important use-case for many industries nowadays. Accounting for the multi-seasonal patterns becomes necessary to generate more accurate and meaningful forecasts in…

Applications · Statistics 2020-04-28 Kasun Bandara , Christoph Bergmeir , Hansika Hewamalage

The problem of (point) forecasting $ \textit{univariate} $ time series is considered. Most approaches, ranging from traditional statistical methods to recent learning-based techniques with neural networks, directly operate on raw time…

Machine Learning · Computer Science 2021-07-21 Sebastian Zeng , Florian Graf , Christoph Hofer , Roland Kwitt

Anomaly detection in time series data is a critical challenge across various domains. Traditional methods typically focus on identifying anomalies in immediate subsequent steps, often underestimating the significance of temporal dynamics…

Machine Learning · Computer Science 2024-10-24 Jiang You , Arben Cela , René Natowicz , Jacob Ouanounou , Patrick Siarry

Multivariate time series prediction has applications in a wide variety of domains and is considered to be a very challenging task, especially when the variables have correlations and exhibit complex temporal patterns, such as seasonality…

Machine Learning · Computer Science 2020-01-07 Yuya Jeremy Ong , Mu Qiao , Divyesh Jadav

Despite the recent success of large language models (LLMs) in time-series forecasting, most existing methods still adopt a Deep Synchronous Fusion strategy, where dense interactions between textual and temporal features are enforced at…

Machine Learning · Computer Science 2026-04-15 Fan Zhang , Shiming Fan , Hua Wang

Multi-period image collections are common in real-world applications. Cities are re-scanned for mapping, construction sites are revisited for progress tracking, and natural regions are monitored for environmental change. Such data form…

Diffusion- and flow-based models usually allocate compute uniformly across space, updating all patches with the same timestep and number of function evaluations. While convenient, this ignores the heterogeneity of natural images: some…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Johannes Schusterbauer , Ming Gui , Yusong Li , Pingchuan Ma , Felix Krause , Björn Ommer

Time series forecasting is an important challenge with significant applications in areas such as weather prediction, stock market analysis, scientific simulations and industrial process analysis. In this work, we introduce LMS-AutoTSF, a…

Machine Learning · Computer Science 2025-01-08 Ibrahim Delibasoglu , Sanjay Chakraborty , Fredrik Heintz

How can we explain the predictions of a machine learning model? When the data is structured as a multivariate time series, this question induces additional difficulties such as the necessity for the explanation to embody the time dependency…

Machine Learning · Computer Science 2021-06-11 Jonathan Crabbé , Mihaela van der Schaar

Accurate representation of the multiscale features in spatiotemporal physical systems using vision transformer (ViT) architectures requires extremely long, computationally prohibitive token sequences. To address this issue, we propose two…

Machine Learning · Computer Science 2024-12-31 Pei Zhang , M. Paul Laiu , Matthew Norman , Doug Stefanski , John Gounley

We propose Lite-STGNN, a lightweight spatial-temporal graph neural network for long-term multivariate forecasting that integrates decomposition-based temporal modeling with learnable sparse graph structure. The temporal module applies…

Machine Learning · Computer Science 2025-12-22 Henok Tenaw Moges , Deshendran Moodley

With the growing availability of multi-domain time series data, there is an increasing demand for general forecasting models pre-trained on multi-source datasets to support diverse downstream prediction scenarios. Existing time series…

Machine Learning · Computer Science 2025-09-09 Yihang Wang , Yuying Qiu , Peng Chen , Kai Zhao , Yang Shu , Zhongwen Rao , Lujia Pan , Bin Yang , Chenjuan Guo

We consider a setting where multiple entities inter-act with each other over time and the time-varying statuses of the entities are represented as multiple correlated time series. For example, speed sensors are deployed in different…

Machine Learning · Computer Science 2021-03-23 Razvan-Gabriel Cirstea , Chenjuan Guo , Bin Yang