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Long-term time-series forecasting (LTTF) has become a pressing demand in many applications, such as wind power supply planning. Transformer models have been adopted to deliver high prediction capacity because of the high computational…

Machine Learning · Computer Science 2023-01-06 Yan Li , Xinjiang Lu , Haoyi Xiong , Jian Tang , Jiantao Su , Bo Jin , Dejing Dou

In this paper we consider Sparse Fourier Transform (SFT) algorithms for approximately computing the best $s$-term approximation of the Discrete Fourier Transform (DFT) $\mathbf{\hat{f}} \in \mathbb{C}^N$ of any given input vector…

Numerical Analysis · Mathematics 2017-06-12 Sami Merhi , Ruochuan Zhang , Mark A. Iwen , Andrew Christlieb

The rigid, uniform allocation of computation in standard Transformer (TF) architectures can limit their efficiency and scalability, particularly for large-scale models and long sequences. Addressing this, we introduce Subjective Depth…

Machine Learning · Computer Science 2025-11-27 Frederico Wieser , Martin Benfeghoul , Haitham Bou Ammar , Jun Wang , Zafeirios Fountas

Spatio-temporal forecasting is essential for real-world applications such as traffic management and urban computing. Although recent methods have shown improved accuracy, they often fail to account for dynamic deviations between current…

Machine Learning · Computer Science 2025-10-07 Haotian Gao , Zheng Dong , Jiawei Yong , Shintaro Fukushima , Kenjiro Taura , Renhe Jiang

The emergence of deep learning has yielded noteworthy advancements in time series forecasting (TSF). Transformer architectures, in particular, have witnessed broad utilization and adoption in TSF tasks. Transformers have proven to be the…

Machine Learning · Computer Science 2023-11-01 Liyilei Su , Xumin Zuo , Rui Li , Xin Wang , Heng Zhao , Bingding Huang

Multivariate time series forecasting is widely used in various fields. Reasonable prediction results can assist people in planning and decision-making, generate benefits and avoid risks. Normally, there are two characteristics of time…

Machine Learning · Computer Science 2021-03-23 Yifu Zhou , Ziheng Duan , Haoyan Xu , Jie Feng , Anni Ren , Yueyang Wang , Xiaoqian Wang

Trajectory prediction is a challenging task that aims to predict the future trajectory of vehicles or pedestrians over a short time horizon based on their historical positions. The main reason is that the trajectory is a kind of complex…

Computer Vision and Pattern Recognition · Computer Science 2025-07-18 Pengqian Han , Jiamou Liu , Tianzhe Bao , Yifei Wang

Synchrosqueezing transform (SST) is a useful tool for vibration signal analysis due to its high time-frequency (TF) concentration and reconstruction properties. However, existing SST requires much processing time for large-scale data. In…

Signal Processing · Electrical Eng. & Systems 2020-03-17 Dong He , Hongrui Cao

Spatial Transcriptomics (ST) technologies provide biologists with rich insights into single-cell biology by preserving spatial context of cells. Building foundational models for ST can significantly enhance the analysis of vast and complex…

Genomics · Quantitative Biology 2025-07-24 Suyuan Zhao , Yizhen Luo , Ganbo Yang , Yan Zhong , Hao Zhou , Zaiqing Nie

Multivariate Long Sequence Time-series Forecasting (LSTF) has been a critical task across various real-world applications. Recent advancements focus on the application of transformer architectures attributable to their ability to capture…

Machine Learning · Computer Science 2024-11-19 Shubham Tanaji Kakde , Rony Mitra , Jasashwi Mandal , Manoj Kumar Tiwari

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

Temporal set prediction involves forecasting the elements that will appear in the next set, given a sequence of prior sets, each containing a variable number of elements. Existing methods often rely on intricate architectures with…

Machine Learning · Computer Science 2025-04-25 Ashish Ranjan , Ayush Agarwal , Shalin Barot , Sushant Kumar

Over the past few decades, the hydrology community has witnessed notable advancements in streamflow prediction, particularly with the introduction of cutting-edge machine-learning algorithms. Recurrent neural networks, especially Long…

Machine Learning · Computer Science 2023-05-23 Sinan Rasiya Koya , Tirthankar Roy

Long-term weather forecasting is critical for socioeconomic planning and disaster preparedness. While recent approaches employ finetuning to extend prediction horizons, they remain constrained by the issues of catastrophic forgetting, error…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Hao Chen , Tao Han , Jie Zhang , Song Guo , Fenghua Ling , Lei Bai

Time series forecasting at scale presents significant challenges for modern prediction systems, particularly when dealing with large sets of synchronized series, such as in a global payment network. In such systems, three key challenges…

Multivariate Time Series (MTS) forecasting plays a vital role in a wide range of applications. Recently, Spatial-Temporal Graph Neural Networks (STGNNs) have become increasingly popular MTS forecasting methods. STGNNs jointly model the…

Machine Learning · Computer Science 2022-08-17 Zezhi Shao , Zhao Zhang , Fei Wang , Yongjun Xu

Research on long-term time series prediction has primarily relied on Transformer and MLP models, while the potential of convolutional networks in this domain remains underexplored. To address this, we propose a novel multi-scale time series…

Machine Learning · Computer Science 2025-10-03 Chenghan Li , Mingchen Li , Yipu Liao , Ruisheng Diao

Foundation models (FMs) have emerged as a powerful paradigm, enabling a diverse range of data analytics and knowledge discovery tasks across scientific fields. Inspired by the success of FMs, particularly large language models, researchers…

Machine Learning · Computer Science 2025-11-27 Sean Bin Yang , Ying Sun , Yunyao Cheng , Yan Lin , Kristian Torp , Jilin Hu

Spatio-temporal forecasting is crucial in many domains, such as transportation, meteorology, and energy. However, real-world scenarios frequently present challenges such as signal anomalies, noise, and distributional shifts. Existing…

Machine Learning · Computer Science 2025-10-30 Wei Chen , Yuxuan Liang

Motion trajectories offer reliable references for physics-based motion learning but suffer from sparsity, particularly in regions that lack sufficient data coverage. To address this challenge, we introduce a self-supervised, structured…

Machine Learning · Computer Science 2024-02-22 Chenhao Li , Elijah Stanger-Jones , Steve Heim , Sangbae Kim