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Multivariate time series forecasting is fundamental to numerous domains such as energy, finance, and environmental monitoring, where complex temporal dependencies and cross-variable interactions pose enduring challenges. Existing…

Machine Learning · Computer Science 2026-05-15 Xingsheng Chen , Xianpei Mu , Deyu Yi , Yilin Yuan , Xingwei He , Bo Gao , Regina Zhang , Pietro Lio , Siu-Ming Yiu

In multivariate time-series forecasting (MTSF), extracting the temporal correlations of the input sequences is crucial. While popular Transformer-based predictive models can perform well, their quadratic computational complexity results in…

Machine Learning · Computer Science 2024-07-23 Shusen Ma , Yu Kang , Peng Bai , Yun-Bo Zhao

Long-term time series forecasting (LTSF) provides longer insights into future trends and patterns. Over the past few years, deep learning models especially Transformers have achieved advanced performance in LTSF tasks. However, LTSF faces…

Machine Learning · Computer Science 2024-06-28 Aobo Liang , Xingguo Jiang , Yan Sun , Xiaohou Shi , Ke Li

In recent years, Transformers have become the de-facto architecture for long-term sequence forecasting (LTSF), but faces challenges such as quadratic complexity and permutation invariant bias. A recent model, Mamba, based on selective state…

Machine Learning · Computer Science 2024-05-28 Xiuding Cai , Yaoyao Zhu , Xueyao Wang , Yu Yao

Recent advancements in multivariate time series forecasting have been propelled by Linear-based, Transformer-based, and Convolution-based models, with Transformer-based architectures gaining prominence for their efficacy in temporal and…

Machine Learning · Computer Science 2024-09-27 Chaolv Zeng , Zhanyu Liu , Guanjie Zheng , Linghe Kong

The problem of Time-series Forecasting is generally addressed by recurrent, Transformer-based and the recently proposed Mamba-based architectures. However, existing architectures generally process their input at a single temporal scale,…

Machine Learning · Computer Science 2026-03-06 Yusuf Meric Karadag , Ismail Talaz , Ipek Gursel Dino , Sinan Kalkan

Time series forecasting has made significant advances, including with Transformer-based models. The attention mechanism in Transformer effectively captures temporal dependencies by attending to all past inputs simultaneously. However, its…

Machine Learning · Computer Science 2025-11-04 Xiongxiao Xu , Canyu Chen , Yueqing Liang , Baixiang Huang , Guangji Bai , Liang Zhao , Kai Shu

In the realm of time series forecasting (TSF), it is imperative for models to adeptly discern and distill hidden patterns within historical time series data to forecast future states. Transformer-based models exhibit formidable efficacy in…

Machine Learning · Computer Science 2024-04-30 Zihan Wang , Fanheng Kong , Shi Feng , Ming Wang , Xiaocui Yang , Han Zhao , Daling Wang , Yifei Zhang

Long-term time-series forecasting remains challenging due to the difficulty in capturing long-term dependencies, achieving linear scalability, and maintaining computational efficiency. We introduce TimeMachine, an innovative model that…

Machine Learning · Computer Science 2024-08-26 Md Atik Ahamed , Qiang Cheng

State space models, such as Mamba, have recently garnered attention in time series forecasting due to their ability to capture sequence patterns. However, in electricity consumption benchmarks, Mamba forecasts exhibit a mean error of…

Machine Learning · Statistics 2025-07-08 Pedro Pessoa , Paul Campitelli , Douglas P. Shepherd , S. Banu Ozkan , Steve Pressé

Long-short range time series forecasting is essential for predicting future trends and patterns over extended periods. While deep learning models such as Transformers have made significant strides in advancing time series forecasting, they…

Machine Learning · Computer Science 2024-09-16 Wenqing Zhang , Junming Huang , Ruotong Wang , Changsong Wei , Wenqian Huang , Yuxin Qiao

Time series forecasting requires balancing short-term and long-term dependencies for accurate predictions. Existing methods mainly focus on long-term dependency modeling, neglecting the complexities of short-term dynamics, which may hinder…

Machine Learning · Computer Science 2024-08-29 Sijia Peng , Yun Xiong , Yangyong Zhu , Zhiqiang Shen

Accurate and efficient multivariate time series (MTS) analysis is increasingly critical for a wide range of intelligent applications. Within this realm, Transformers have emerged as the predominant architecture due to their strong ability…

Machine Learning · Computer Science 2026-05-19 Rui An , Haohao Qu , Wenqi Fan , Xuequn Shang , Qing Li

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…

Machine Learning · Computer Science 2026-02-11 Ruxuan Chen , Fang Sun

Accurate traffic prediction plays a vital role in intelligent transportation systems by enabling efficient routing, congestion mitigation, and proactive traffic control. However, forecasting is challenging due to the combined effects of…

Machine Learning · Computer Science 2025-07-08 Mohamed Hamad , Mohamed Mabrok , Nizar Zorba

Long-term multivariate time series forecasting (LTSF) plays a crucial role in various high-performance computing applications, including real-time energy grid management and large-scale traffic flow simulation. However, existing solutions…

Machine Learning · Computer Science 2026-02-03 Qianyang Li , Xingjun Zhang , Shaoxun Wang , Jia Wei , Yueqi Xing

Time series prediction, a crucial task across various domains, faces significant challenges due to the inherent complexities of time series data, including non-stationarity, multi-scale periodicity, and transient dynamics, particularly when…

Machine Learning · Computer Science 2025-07-18 Qianru Zhang , Chenglei Yu , Haixin Wang , Yudong Yan , Yuansheng Cao , Siu-Ming Yiu , Tailin Wu , Hongzhi Yin

In multivariate time series forecasting (MTSF), existing strategies for processing sequences are typically categorized as channel-independent and channel-mixing. The former treats all temporal information of each variable as a token,…

Artificial Intelligence · Computer Science 2025-07-08 Bing Fan , Shusen Ma , Yun-Bo Zhao , Yu Kang

Time series foundation models have demonstrated strong performance in zero-shot learning, making them well-suited for predicting rapidly evolving patterns in real-world applications where relevant training data are scarce. However, most of…

Machine Learning · Computer Science 2024-11-06 Haoyu Ma , Yushu Chen , Wenlai Zhao , Jinzhe Yang , Yingsheng Ji , Xinghua Xu , Xiaozhu Liu , Hao Jing , Shengzhuo Liu , Guangwen Yang

Multivariate time series data provide a robust framework for future predictions by leveraging information across multiple dimensions, ensuring broad applicability in practical scenarios. However, their high dimensionality and mixing…

Machine Learning · Computer Science 2024-11-28 Xuanbing Zhu , Dunbin Shen , Zhongwen Rao , Huiyi Ma , Yingguang Hao , Hongyu Wang
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