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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

In recent years, traffic flow prediction has become a highlight in the field of intelligent transportation systems. However, due to the temporal variations and dynamic spatial correlations of traffic data, traffic prediction remains highly…

Artificial Intelligence · Computer Science 2025-06-04 Tianfan Jiang , Mei Wu , Wenchao Weng , Dewen Seng , Yiqian Lin

Mode decomposition is a prototypical pattern recognition problem that can be addressed from the (a priori distinct) perspectives of numerical approximation, statistical inference and deep learning. Could its analysis through these combined…

Machine Learning · Statistics 2020-08-07 Houman Owhadi , Clint Scovel , Gene Ryan Yoo

Deep learning can accurately represent sub-grid-scale convective processes in climate models, learning from high resolution simulations. However, deep learning methods usually lack interpretability due to large internal dimensionality,…

Atmospheric and Oceanic Physics · Physics 2022-09-07 Gunnar Behrens , Tom Beucler , Pierre Gentine , Fernando Iglesias-Suarez , Michael Pritchard , Veronika Eyring

Dynamic mode decomposition (DMD) and its variants have emerged as popular methods for the post-processing of fluid dynamics' simulations in order to visualize dominant coherent structures and to reduce the practical degrees of freedom to a…

Fluid Dynamics · Physics 2023-06-02 Chris Keylock

Dynamic Mode Decomposition (DMD) is a model-order reduction approach, whereby spatial modes of fixed temporal frequencies are extracted from numerical or experimental data sets. The DMD low-rank or reduced operator is typically obtained by…

Numerical Analysis · Mathematics 2023-01-25 Quincy A. Huhn , Mauricio E. Tano , Jean C. Ragusa , Youngsoo Choi

Dynamic Mode Decomposition (DMD) is a data-driven method for approximating the spatiotemporal modes of a system. The eigenvectors and eigenvalues of the system are approximated from a series of time-snapshots of the state variables. The…

Computational Engineering, Finance, and Science · Computer Science 2026-04-17 William Bennett , Ryan G. McClarren , Ethan Smith , Melek Derman

While conventional methods for sequential learning focus on interaction between consecutive inputs, we suggest a new method which captures composite semantic flows with variable-length dependencies. In addition, the semantic structures…

Machine Learning · Computer Science 2019-01-29 Kyoung-Woon On , Eun-Sol Kim , Yu-Jung Heo , Byoung-Tak Zhang

Time series forecasting is a significant problem in many applications, e.g., financial predictions and business optimization. Modern datasets can have multiple correlated time series, which are often generated with global (shared)…

Machine Learning · Computer Science 2021-11-10 Ling Chen , Weiqi Chen , Binqing Wu , Youdong Zhang , Bo Wen , Chenghu Yang

Time series anomaly detection is crucial for maintaining stable systems. Existing methods face two main challenges. First, it is difficult to directly model the dependencies of diverse and complex patterns within the sequences. Second, many…

Machine Learning · Computer Science 2025-04-22 Wenxin Zhang , Cuicui Luo

The characterization of intermittent, multiscale and transient dynamics using data-driven analysis remains an open challenge. We demonstrate an application of the Dynamic Mode Decomposition (DMD) with sparse sampling for the diagnostic…

Dynamical Systems · Mathematics 2020-05-18 Krithika Manohar , Eurika Kaiser , Steven L. Brunton , J. Nathan Kutz

This work proposes a new framework of model reduction for parametric complex systems. The framework employs a popular model reduction technique dynamic mode decomposition (DMD), which is capable of combining data-driven learning and physics…

Numerical Analysis · Mathematics 2022-04-21 Hannah Lu , Daniel M. Tartakovsky

Water is a critical resource that must be managed efficiently. However, a substantial amount of water is lost each year due to leaks in Water Distribution Networks (WDNs). This underscores the need for reliable and effective leak detection…

Machine Learning · Computer Science 2025-11-18 Daniele Ugo Leonzio , Paolo Bestagini , Marco Marcon , Stefano Tubaro

Accurate day-ahead peak load forecasting is crucial not only for power dispatching but also has a great interest to investors and energy policy maker as well as government. Literature reveals that 1% error drop of forecast can reduce 10…

Machine Learning · Computer Science 2021-11-02 Yanmei Huang , Najmul Hasan , Changrui Deng , Yukun Bao

Conformal prediction for graph neural networks (GNNs) offers a promising framework for quantifying uncertainty, enhancing GNN reliability in high-stakes applications. However, existing methods predominantly focus on static graphs,…

Machine Learning · Computer Science 2025-07-04 Tuo Wang , Jian Kang , Yujun Yan , Adithya Kulkarni , Dawei Zhou

Mobility-on-demand (MoD) systems represent a rapidly developing mode of transportation wherein travel requests are dynamically handled by a coordinated fleet of vehicles. Crucially, the efficiency of an MoD system highly depends on how well…

Machine Learning · Statistics 2022-05-05 Daniele Gammelli , Filipe Rodrigues

Video Moment Retrieval (VMR) is a task to localize the temporal moment in untrimmed video specified by natural language query. For VMR, several methods that require full supervision for training have been proposed. Unfortunately, acquiring…

Computer Vision and Pattern Recognition · Computer Science 2023-10-10 Minuk Ma , Sunjae Yoon , Junyeong Kim , Youngjoon Lee , Sunghun Kang , Chang D. Yoo

Long-term Time Series Forecasting (LTSF) is critical for numerous real-world applications, such as electricity consumption planning, financial forecasting, and disease propagation analysis. LTSF requires capturing long-range dependencies…

Machine Learning · Computer Science 2024-10-04 Aitian Ma , Dongsheng Luo , Mo Sha

Dynamic mode decomposition (DMD) is an efficient tool for decomposing spatio-temporal data into a set of low-dimensional modes, yielding the oscillation frequencies and the growth rates of physically significant modes. In this paper, we…

Dynamical Systems · Mathematics 2023-02-21 Minwoo Lee , Jongho Park

This paper focuses on improving the robustness of spatiotemporal long-term prediction using a variational mode graph convolutional network (VMGCN) by introducing 3D channel attention. The deep learning network for this task relies on…

Machine Learning · Computer Science 2025-04-10 Osama Ahmad , Zubair Khalid