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The proliferation of mobile devices generates a massive volume of time series across various domains, where effective time series forecasting enables a variety of real-world applications. This study focuses on a new problem of source-free…

Machine Learning · Computer Science 2025-11-03 Kangjia Yan , Chenxi Liu , Hao Miao , Xinle Wu , Yan Zhao , Chenjuan Guo , Bin Yang

Originally introduced in the fluid mechanics community, dynamic mode decomposition (DMD) has emerged as a powerful tool for analyzing the dynamics of nonlinear systems. However, existing DMD theory deals primarily with sequential time…

Numerical Analysis · Mathematics 2014-12-17 Jonathan H. Tu , Clarence W. Rowley , Dirk M. Luchtenburg , Steven L. Brunton , J. Nathan Kutz

Failure trajectories, identifying the probable failure zones, and damage statistics are some of the key quantities of relevance in brittle fracture applications. High-fidelity numerical solvers that reliably estimate these relevant…

Machine Learning · Computer Science 2022-02-16 Somdatta Goswami , Minglang Yin , Yue Yu , George Karniadakis

One of the fundamental representation learning tasks is unsupervised sequential disentanglement, where latent codes of inputs are decomposed to a single static factor and a sequence of dynamic factors. To extract this latent information,…

Machine Learning · Computer Science 2025-10-09 Nimrod Berman , Ilan Naiman , Idan Arbiv , Gal Fadlon , Omri Azencot

Dynamic Mode Decomposition (DMD) is a powerful data-driven method used to extract spatio-temporal coherent structures that dictate a given dynamical system. The method consists of stacking collected temporal snapshots into a matrix and…

Machine Learning · Computer Science 2021-05-11 Gabriel F. Barros , Malú Grave , Alex Viguerie , Alessandro Reali , Alvaro L. G. A. Coutinho

Dynamic Mode Decomposition (DMD) is a data-driven modeling tool that generates a model from spatio-temporal data. The data needs to be as clean as possible for DMD to come up with a faithful model. We review a few data-filtering methods to…

Optimization and Control · Mathematics 2021-03-04 Moajjem H. Chowdhury , Nazmul Islam Shuzan , Mohammad N. Murshed , Sanwar Alam , M. Monir Uddin , Zarin Subah

While time-frequency analysis provides rich representations of multicomponent signals, current decomposition methods often overlook the morphological structure where components manifest as distinct regions. This study introduces…

Signal Processing · Electrical Eng. & Systems 2025-11-26 Wei Zhou , Wei-Jian Li , Desen Zhu , Hongbin Xu , Wei-Xin Ren

The goal of weakly supervised video anomaly detection is to learn a detection model using only video-level labeled data. However, prior studies typically divide videos into fixed-length segments without considering the complexity or…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Chen Zhang , Guorong Li , Yuankai Qi , Hanhua Ye , Laiyun Qing , Ming-Hsuan Yang , Qingming Huang

We present a deep-learning Variational Encoder-Decoder (VED) framework for learning data-driven low-dimensional representations of the relationship between high-dimensional parameters of a physical system and the system's high-dimensional…

Machine Learning · Computer Science 2024-12-09 Subashree Venkatasubramanian , David A. Barajas-Solano

Modeling wave energy converters (WECs) to accurately predict their hydrodynamic behavior has been a challenge for the wave energy field. Often, this results in either low-fidelity, linear models that break down in energetic seas, or…

Fluid Dynamics · Physics 2023-06-07 Brittany Lydon , Brian Polagye , Steven Brunton

The dynamic mode decomposition (DMD) is a data-driven approach that extracts the dominant features from spatiotemporal data. In this work, we introduce sparse-mode DMD, a new variant of the optimized DMD framework that specifically…

Machine Learning · Statistics 2025-07-29 Sara M. Ichinaga , Steven L. Brunton , Aleksandr Y. Aravkin , J. Nathan Kutz

Sensor-based human activity recognition is important in daily scenarios such as smart healthcare and homes due to its non-intrusive privacy and low cost advantages, but the problem of out-of-domain generalization caused by differences in…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Jianguo Pan , Zhengxin Hu , Lingdun Zhang , Xia Cai

With the goal of predicting the future rainfall intensity in a local region over a relatively short period time, precipitation nowcasting has been a long-time scientific challenge with great social and economic impact. The radar echo…

Machine Learning · Computer Science 2021-05-07 Bi-Ying Yan , Chao Yang , Feng Chen , Kohei Takeda , Changjun Wang

Effective network state classification is a primary task for ensuring network security and optimizing performance. Existing deep learning models have shown considerable progress in this area. Some methods excel at analyzing the complex…

Machine Learning · Computer Science 2025-09-16 Yuan Gao , Xuelong Wang , Zhenguo Dong , Yong Zhang

The heavy-tailed nature of precipitation intensity impedes precise precipitation nowcasting. Standard models that optimize pixel-wise losses are prone to regression-to-the-mean bias, which blurs extreme values. Existing Fourier-based…

Atmospheric and Oceanic Physics · Physics 2026-02-03 Baitian Liu , Haiping Zhang , Huiling Yuan , Dongjing Wang , Ying Li , Feng Chen , Hao Wu

Due to the inherent complexity, temporal patterns in real-world time series often evolve across multiple intertwined scales, including long-term periodicity, short-term fluctuations, and abrupt regime shifts. While existing literature has…

Machine Learning · Computer Science 2025-11-25 Yubo Wang , Hui He , Chaoxi Niu , Zhendong Niu

Time-varying graph signals are alternative representation of multivariate (or multichannel) signals in which a single time-series is associated with each of the nodes or vertex of a graph. Aided by the graph-theoretic tools, time-varying…

Signal Processing · Electrical Eng. & Systems 2023-01-10 Naveed ur Rehman

Multivariate time-series (MTS) forecasting is a challenging task in many real-world non-stationary dynamic scenarios. In addition to intra-series temporal signals, the inter-series dependency also plays a crucial role in shaping future…

Machine Learning · Computer Science 2023-12-29 Weijun Chen , Heyuan Wang , Ye Tian , Shijie Guan , Ning Liu

Visual Question Answering (VQA) models have achieved significant success in recent times. Despite the success of VQA models, they are mostly black-box models providing no reasoning about the predicted answer, thus raising questions for…

Computer Vision and Pattern Recognition · Computer Science 2021-05-18 Nihar Bendre , Kevin Desai , Peyman Najafirad

Deep probabilistic time series forecasting models have become an integral part of machine learning. While several powerful generative models have been proposed, we provide evidence that their associated inference models are oftentimes too…

Machine Learning · Computer Science 2020-12-07 Chen Qiu , Stephan Mandt , Maja Rudolph
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