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We introduce a new adaptive decomposition tool, which we refer to as Nonlinear Mode Decomposition (NMD). It decomposes a given signal into a set of physically meaningful oscillations for any waveform, simultaneously removing the noise. NMD…

数值分析 · 数学 2015-10-07 Dmytro Iatsenko , Peter V. E. McClintock , Aneta Stefanovska

Dynamic mode decomposition (DMD) is a powerful data-driven technique for construction of reduced-order models of complex dynamical systems. Multiple numerical tests have demonstrated the accuracy and efficiency of DMD, but mostly for…

数值分析 · 数学 2021-07-28 Hannah Lu , Daniel M. Tartakovsky

Accurate and efficient plasma models are essential to understand and control experimental devices. Existing magnetohydrodynamic or kinetic models are nonlinear, computationally intensive, and can be difficult to interpret, while often only…

等离子体物理 · 物理学 2020-03-04 Alan A. Kaptanoglu , Kyle D. Morgan , Chris J. Hansen , Steven L. Brunton

Radiation-induced photocurrent in semiconductor devices can be simulated using complex physics-based models, which are accurate, but computationally expensive. This presents a challenge for implementing device characteristics in high-level…

计算物理 · 物理学 2020-08-31 Joshua Hanson , Pavel Bochev , Biliana Paskaleva

Multiple clustering has gathered significant attention in recent years due to its potential to reveal multiple hidden structures of the data from different perspectives. Most of multiple clustering methods first derive feature…

计算机视觉与模式识别 · 计算机科学 2024-02-09 Jiawei Yao , Juhua Hu

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…

机器学习 · 计算机科学 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…

The scientific computation methods development in conjunction with artificial intelligence technologies remains a hot research topic. Finding a balance between lightweight and accurate computations is a solid foundation for this direction.…

机器学习 · 计算机科学 2025-07-03 Nikita Sakovich , Dmitry Aksenov , Ekaterina Pleshakova , Sergey Gataullin

One-dimensional signal decomposition is a well-established and widely used technique across various scientific fields. It serves as a highly valuable pre-processing step for data analysis. While traditional decomposition techniques often…

机器学习 · 计算机科学 2025-06-09 Samuele Salti , Andrea Pinto , Alessandro Lanza , Serena Morigi

Numerous deep learning architectures have been developed to accommodate the diversity of time series datasets across different domains. In this article, we survey common encoder and decoder designs used in both one-step-ahead and…

机器学习 · 统计学 2021-04-28 Bryan Lim , Stefan Zohren

Time series forecasting holds significant value in various domains such as economics, traffic, energy, and AIOps, as accurate predictions facilitate informed decision-making. However, the existing Mean Squared Error (MSE) loss function…

机器学习 · 计算机科学 2025-10-29 Xiangfei Qiu , Xingjian Wu , Hanyin Cheng , Xvyuan Liu , Chenjuan Guo , Jilin Hu , Bin Yang

We introduce the optimized dynamic mode decomposition algorithm for constructing an adaptive and computationally efficient reduced order model and forecasting tool for global atmospheric chemistry dynamics. By exploiting a low-dimensional…

机器学习 · 计算机科学 2024-04-22 Meghana Velegar , Christoph Keller , J. Nathan Kutz

Traffic flow forecasting is a crucial task in intelligent transport systems. Deep learning offers an effective solution, capturing complex patterns in time-series traffic flow data to enable the accurate prediction. However, deep learning…

机器学习 · 计算机科学 2024-11-07 Qiyuan Zhu , A. K. Qin , Hussein Dia , Adriana-Simona Mihaita , Hanna Grzybowska

We propose Comprehensive Robust Dynamic Mode Decomposition (CR-DMD), a novel framework that robustifies the entire DMD process - from mode extraction to dimensional reduction - against mixed noise. Although standard DMD widely used for…

信号处理 · 电气工程与系统科学 2026-01-19 Yuki Nakamura , Shingo Takemoto , Shunsuke Ono

Deep learning models, particularly recurrent neural networks and their variants, such as long short-term memory, have significantly advanced time series data analysis. These models capture complex, sequential patterns in time series,…

机器学习 · 计算机科学 2026-01-12 Nilushika Udayangani , Kishor Nandakishor , Marimuthu Palaniswami

To address the challenges of wireless video transmission over multipath fading channels, we propose a robust deep joint source-channel coding (DeepJSCC) framework by effectively exploiting temporal redundancy and incorporating robust…

图像与视频处理 · 电气工程与系统科学 2026-01-21 Bohuai Xiao , Jian Zou , Fanyang Meng , Wei Liu , Yongsheng Liang

Cognitive Language Processing (CLP), situated at the intersection of Natural Language Processing (NLP) and cognitive science, plays a progressively pivotal role in the domains of artificial intelligence, cognitive intelligence, and brain…

机器学习 · 计算机科学 2024-06-06 Weiguo Chen , Changjian Wang , Kele Xu , Yuan Yuan , Yanru Bai , Dongsong Zhang

The time-dependent fields obtained by solving partial differential equations in two and more dimensions quickly overwhelm the analytical capabilities of the human brain. A meaningful insight into the temporal behaviour can be obtained by…

数值分析 · 数学 2024-04-04 Miha Rot , Martin Horvat , Gregor Kosec

Multivariate time series (MTS) forecasting is crucial in many real-world applications. To achieve accurate MTS forecasting, it is essential to simultaneously consider both intra- and inter-series relationships among time series data.…

机器学习 · 计算机科学 2024-02-26 Kun Yi , Qi Zhang , Hui He , Kaize Shi , Liang Hu , Ning An , Zhendong Niu

Time series forecasting is an important application in various domains such as energy management, traffic planning, financial markets, meteorology, and medicine. However, real-time series data often present intricate temporal variability…

机器学习 · 计算机科学 2025-04-02 Reza Nematirad , Anil Pahwa , Balasubramaniam Natarajan