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Traditional time series forecasting methods predominantly rely on historical data patterns, neglecting external interventions that significantly shape future dynamics. Through control-theoretic analysis, we show that the implicit…

Machine Learning · Computer Science 2025-05-19 Zhijian Xu , Hao Wang , Qiang Xu

Time series forecasting holds significant importance across various industries, including finance, transportation, energy, healthcare, and climate. Despite the widespread use of linear networks due to their low computational cost and…

Machine Learning · Computer Science 2025-05-02 Chengsen Wang , Qi Qi , Jingyu Wang , Haifeng Sun , Zirui Zhuang , Jianxin Liao

Multivariate time series forecasting often struggles to capture long-range dependencies due to fixed lookback windows. Retrieval-augmented forecasting addresses this by retrieving historical segments from memory, but existing approaches…

Machine Learning · Computer Science 2026-04-08 Junhyeok Kang , Jun Seo , Soyeon Park , Sangjun Han , Seohui Bae , Hyeokjun Choe , Soonyoung Lee

Recent studies have attempted to refine the Transformer architecture to demonstrate its effectiveness in Long-Term Time Series Forecasting (LTSF) tasks. Despite surpassing many linear forecasting models with ever-improving performance, we…

Machine Learning · Computer Science 2024-12-30 Peiwang Tang , Weitai Zhang

Multivariate time series forecasting has been widely used in various practical scenarios. Recently, Transformer-based models have shown significant potential in forecasting tasks due to the capture of long-range dependencies. However,…

Machine Learning · Computer Science 2023-02-10 Zhe Li , Zhongwen Rao , Lujia Pan , Zenglin Xu

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

Capturing complex temporal patterns and relationships within multivariate data streams is a difficult task. We propose the Temporal Kolmogorov-Arnold Transformer (TKAT), a novel attention-based architecture designed to address this task…

Machine Learning · Computer Science 2024-06-06 Remi Genet , Hugo Inzirillo

As machine learning and deep learning models have become highly prevalent in a multitude of domains, the main reservation in their adoption for decision-making processes is their black-box nature. The Explainable Artificial Intelligence…

Machine Learning · Computer Science 2022-08-23 Omar Bahri , Soukaina Filali Boubrahimi , Shah Muhammad Hamdi

Recent advances in deep forecasting models have achieved remarkable performance, yet most approaches still struggle to provide both accurate predictions and interpretable insights into temporal dynamics. This paper proposes CaReTS, a novel…

Machine Learning · Computer Science 2025-11-14 Fulong Yao , Wanqing Zhao , Chao Zheng , Xiaofei Han

Multimodal time series (MTS) anomaly detection is crucial for maintaining the safety and stability of working devices (e.g., water treatment system and spacecraft), whose data are characterized by multivariate time series with diverse…

Machine Learning · Computer Science 2023-10-18 Chaoyue Ding , Shiliang Sun , Jing Zhao

Machine learning models can effectively forecast dynamical systems from time-series data, but they typically require large amounts of past data, making forecasting particularly challenging for systems with limited history. To overcome this,…

Machine Learning · Computer Science 2025-08-01 Declan A. Norton , Edward Ott , Andrew Pomerance , Brian Hunt , Michelle Girvan

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

In this paper, we aim to improve multivariate anomaly detection (AD) by modeling the \textit{time-varying non-linear spatio-temporal correlations} found in multivariate time series data . In multivariate time series data, an anomaly may be…

Machine Learning · Computer Science 2025-09-19 Padmaksha Roy , Almuatazbellah Boker , Lamine Mili

Machine learning algorithms are highly useful for the classification of time series data in astronomy in this era of peta-scale public survey data releases. These methods can facilitate the discovery of new unknown events in most…

Instrumentation and Methods for Astrophysics · Physics 2018-09-10 J. B. Cabral , B. Sánchez , F. Ramos , S. Gurovich , P. Granitto , J. Vanderplas

Asynchronous Time Series is a multivariate time series where all the channels are observed asynchronously-independently, making the time series extremely sparse when aligning them. We often observe this effect in applications with complex…

Machine Learning · Computer Science 2022-08-25 Vijaya Krishna Yalavarthi , Johannes Burchert , Lars Schmidt-Thieme

Multi-variate time series (MTS) data is a ubiquitous class of data abstraction in the real world. Any instance of MTS is generated from a hybrid dynamical system and their specific dynamics are usually unknown. The hybrid nature of such a…

Machine Learning · Computer Science 2021-09-07 Jinliang Deng , Xiusi Chen , Renhe Jiang , Xuan Song , Ivor W. Tsang

Utilizing the complex inter-variable causal relationships within multivariate time-series provides a promising avenue toward more robust and reliable multivariate time-series anomaly detection (MTSAD) but remains an underexplored area of…

Machine Learning · Computer Science 2025-06-05 HyunGi Kim , Jisoo Mok , Dongjun Lee , Jaihyun Lew , Sungjae Kim , Sungroh Yoon

This paper introduces a new approach for Multivariate Time Series forecasting that jointly infers and leverages relations among time series. Its modularity allows it to be integrated with current univariate methods. Our approach allows to…

Machine Learning · Computer Science 2022-03-08 Victor Garcia Satorras , Syama Sundar Rangapuram , Tim Januschowski

In the burgeoning ecosystem of Internet of Things, multivariate time series (MTS) data has become ubiquitous, highlighting the fundamental role of time series forecasting across numerous applications. The crucial challenge of long-term MTS…

Machine Learning · Computer Science 2024-11-06 Zhenwei Zhang , Linghang Meng , Yuantao Gu

Multivariate time series forecasting is extensively studied throughout the years with ubiquitous applications in areas such as finance, traffic, environment, etc. Still, concerns have been raised on traditional methods for incapable of…

Machine Learning · Computer Science 2018-09-10 Yen-Yu Chang , Fan-Yun Sun , Yueh-Hua Wu , Shou-De Lin