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Transformers are widely applied to solve natural language understanding and computer vision tasks. While scaling up these architectures leads to improved performance, it often comes at the expense of much higher computational costs. In…

Computer Vision and Pattern Recognition · Computer Science 2022-02-25 Cedric Renggli , André Susano Pinto , Neil Houlsby , Basil Mustafa , Joan Puigcerver , Carlos Riquelme

Multi-horizon forecasting problems often contain a complex mix of inputs -- including static (i.e. time-invariant) covariates, known future inputs, and other exogenous time series that are only observed historically -- without any prior…

Machine Learning · Statistics 2020-09-29 Bryan Lim , Sercan O. Arik , Nicolas Loeff , Tomas Pfister

Time series forecasting is a critical task that provides key information for decision-making. After traditional statistical and machine learning approaches, various fundamental deep learning architectures such as MLPs, CNNs, RNNs, and GNNs…

Machine Learning · Computer Science 2025-05-02 Jongseon Kim , Hyungjoon Kim , HyunGi Kim , Dongjun Lee , Sungroh Yoon

Multivariate time series forecasting focuses on predicting future values based on historical context. State-of-the-art sequence-to-sequence models rely on neural attention between timesteps, which allows for temporal learning but fails to…

Machine Learning · Computer Science 2023-03-21 Jake Grigsby , Zhe Wang , Nam Nguyen , Yanjun Qi

Recent lightweight MLP-based models have achieved strong performance in time series forecasting by capturing stable trends and seasonal patterns. However, their effectiveness hinges on an implicit assumption of local stationarity…

Machine Learning · Computer Science 2026-01-29 Zhiyu Chen , Minhao Liu , Yanru Zhang

In the real world, long sequence time-series forecasting (LSTF) is needed in many cases, such as power consumption prediction and air quality prediction.Multi-dimensional long time series model has more strict requirements on the model,…

Machine Learning · Computer Science 2022-05-11 Ning Wang

Although Convolutional Neural Networks (CNN) have made good progress in image restoration, the intrinsic equivalence and locality of convolutions still constrain further improvements in image quality. Recent vision transformer and…

Computer Vision and Pattern Recognition · Computer Science 2023-03-09 Jun Shi , Bingcai Wei , Gang Zhou , Liye Zhang

Multivariate Time Series (MTS) forecasting involves modeling temporal dependencies within historical records. Transformers have demonstrated remarkable performance in MTS forecasting due to their capability to capture long-term…

Machine Learning · Computer Science 2024-07-17 Yifan Zhang , Rui Wu , Sergiu M. Dascalu , Frederick C. Harris

Recently the Transformer structure has shown good performances in graph learning tasks. However, these Transformer models directly work on graph nodes and may have difficulties learning high-level information. Inspired by the vision…

Machine Learning · Computer Science 2023-04-11 Han Gao , Xu Han , Jiaoyang Huang , Jian-Xun Wang , Li-Ping Liu

Time series forecasting methods generally fall into two main categories: Channel Independent (CI) and Channel Dependent (CD) strategies. While CI overlooks important covariate relationships, CD captures all dependencies without distinction,…

Machine Learning · Computer Science 2025-05-21 Yifan Hu , Guibin Zhang , Peiyuan Liu , Disen Lan , Naiqi Li , Dawei Cheng , Tao Dai , Shu-Tao Xia , Shirui Pan

Time series forecasting is a fundamental tool with wide ranging applications, yet recent debates question whether complex nonlinear architectures truly outperform simple linear models. Prior claims of dominance of the linear model often…

Machine Learning · Computer Science 2026-02-13 Md Rakibul Haque , Vishwa Goudar , Shireen Elhabian , Warren Woodrich Pettine

Long-term time series forecasting (LTSF) offers broad utility in practical settings like energy consumption and weather prediction. Accurately predicting long-term changes, however, is demanding due to the intricate temporal patterns and…

Machine Learning · Computer Science 2025-05-19 Boshi Gao , Qingjian Ni , Fanbo Ju , Yu Chen , Ziqi Zhao

Transformer-based and CNN-based methods demonstrate strong performance in long-term time series forecasting. However, their high computational and storage requirements can hinder large-scale deployment. To address this limitation, we…

Machine Learning · Computer Science 2026-01-08 Juntong Ni , Zewen Liu , Shiyu Wang , Ming Jin , Wei Jin

Time series forecasting is an important problem, with many real world applications. Ensembles of deep neural networks have recently achieved impressive forecasting accuracy, but such large ensembles are impractical in many real world…

Machine Learning · Computer Science 2022-08-31 Espen Haugsdal , Erlend Aune , Massimiliano Ruocco

Accurate forecasting of renewable energy generation is fundamental to enhancing the dynamic performance of modern power grids, especially under high renewable penetration. This paper presents Channel-Time Patch Time-Series Transformer…

Machine Learning · Computer Science 2026-01-23 Kuan Lu , Menghao Huo , Yuxiao Li , Qiang Zhu , Zhenrui Chen

We present a conformal prediction method for time series using the Transformer architecture to capture long-memory and long-range dependencies. Specifically, we use the Transformer decoder as a conditional quantile estimator to predict the…

Machine Learning · Computer Science 2024-06-11 Junghwan Lee , Chen Xu , Yao Xie

Long-term time series forecasting (LTSF) has been widely applied in finance, traffic prediction, and other domains. Recently, patch-based transformers have emerged as a promising approach, segmenting data into sub-level patches that serve…

Machine Learning · Computer Science 2024-08-06 Ruixin Ding , Yuqi Chen , Yu-Ting Lan , Wei Zhang

Time series forecasting is extensively applied across diverse domains. Transformer-based models demonstrate significant potential in modeling cross-time and cross-variable interaction. However, we notice that the cross-variable correlation…

Machine Learning · Computer Science 2024-10-08 Ao Hu , Dongkai Wang , Yong Dai , Shiyi Qi , Liangjian Wen , Jun Wang , Zhi Chen , Xun Zhou , Zenglin Xu , Jiang Duan

Recent CNN and Transformer-based models tried to utilize frequency and periodicity information for long-term time series forecasting. However, most existing work is based on Fourier transform, which cannot capture fine-grained and local…

Machine Learning · Computer Science 2024-01-05 Peiyuan Liu , Beiliang Wu , Naiqi Li , Tao Dai , Fengmao Lei , Jigang Bao , Yong Jiang , Shu-Tao Xia

Transformers have achieved remarkable success in time series modeling, yet their internal mechanisms remain opaque. This work demystifies the Transformer encoder by establishing its fundamental equivalence to a Graph Convolutional Network…

Machine Learning · Computer Science 2025-10-21 Chen Zhang , Weixin Bu , Wendong Xu , Runsheng Yu , Yik-Chung Wu , Ngai Wong
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