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The ability to monitor and interpret of hardware system events and behaviors are crucial to improving the robustness and reliability of these systems, especially in a supercomputing facility. The growing complexity and scale of these…

Human-Computer Interaction · Computer Science 2023-06-19 Shilpika , Bethany Lusch , Murali Emani , Filippo Simini , Venkatram Vishwanath , Michael E. Papka , Kwan-Liu Ma

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

In this work, we demonstrate how physical principles -- such as symmetries, invariances, and conservation laws -- can be integrated into the dynamic mode decomposition (DMD). DMD is a widely-used data analysis technique that extracts…

Dynamical Systems · Mathematics 2021-12-09 Peter J. Baddoo , Benjamin Herrmann , Beverley J. McKeon , J. Nathan Kutz , Steven L. Brunton

In order to guarantee the safety of payload, crew, and structures, ships must exhibit good seakeeping, maneuverability, and structural-response performance, also when they operate in adverse weather conditions. In this context, the…

Dynamical Systems · Mathematics 2022-11-08 Andrea Serani , Paolo Dragone , Frederick Stern , Matteo Diez

Dynamic mode decomposition has emerged as a leading technique to identify spatiotemporal coherent structures from high-dimensional data, benefiting from a strong connection to nonlinear dynamical systems via the Koopman operator. In this…

Systems and Control · Computer Science 2017-12-01 Zhe Bai , Eurika Kaiser , Joshua L. Proctor , J. Nathan Kutz , Steven L. Brunton

Nonequilibrium dynamics governed by electron-phonon (e-ph) interactions plays a key role in electronic devices and spectroscopies and is central to understanding electronic excitations in materials. The real-time Boltzmann transport…

Materials Science · Physics 2023-11-14 Ivan Maliyov , Jia Yin , Jia Yao , Chao Yang , Marco Bernardi

We propose a new method for computing Dynamic Mode Decomposition (DMD) evolution matrices, which we use to analyze dynamical systems. Unlike the majority of existing methods, our approach is based on a variational formulation consisting of…

Numerical Analysis · Mathematics 2019-05-24 Omri Azencot , Wotao Yin , Andrea Bertozzi

In this paper, an Empirical Mode Decomposition-based method is proposed for the detection of transformer faults from Dissolve gas analysis (DGA) data. Ratio-based DGA parameters are ranked using their skewness. Optimal sets of intrinsic…

Machine Learning · Computer Science 2021-10-25 Shoaib Meraj Sami , Mohammed Imamul Hassan Bhuiyan

In this study, we investigated the stability of dynamic mode decomposition (DMD) algorithms to noisy data. To achieve a stable DMD algorithm, we applied the truncated total least squares (T-TLS) regression and optimal truncation level…

Machine Learning · Computer Science 2021-11-08 Yuya Ohmichi , Yosuke Sugioka , Kazuyuki Nakakita

Modal decomposition techniques, such as Empirical Mode Decomposition (EMD), Variational Mode Decomposition (VMD), and Singular Spectrum Analysis (SSA), have advanced time-frequency signal analysis since the early 21st century. These methods…

Signal Processing · Electrical Eng. & Systems 2025-10-29 Wang Hao , Kuang Zhang , Hou Chengyu , Yang Yifan , Tan Chenxing , Fu Weifeng

This paper presents a new control, namely additive-state-decomposition dynamic inversion stabilized control, that is used to stabilize a class of multi-input multi-output (MIMO) systems subject to nonparametric time-varying uncertainties…

Systems and Control · Computer Science 2020-03-10 Quan Quan , Guangxun Du , Kai-Yuan Cai

We present a data-driven model predictive control (MPC) framework for systems with high state-space dimensionalities. This work is motivated by the need to exploit sensor data that appears in the form of images (e.g., 2D or 3D spatial…

Systems and Control · Electrical Eng. & Systems 2021-05-03 Qiugang Lu , Victor M. Zavala

Elastic topological states have been receiving increased intention in numerous scientific and engineering fields due to their defect-immune nature, resulting in applications of vibration control and information processing. Here, we present…

Applied Physics · Physics 2023-05-31 Shuaifeng Li , Panayotis G. Kevrekidis , Jinkyu Yang

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.…

Machine Learning · Computer Science 2025-07-03 Nikita Sakovich , Dmitry Aksenov , Ekaterina Pleshakova , Sergey Gataullin

Decomposing multivariate time series with certain basic dynamics is crucial for understanding, predicting and controlling nonlinear spatiotemporally dynamic systems such as the brain. Dynamic mode decomposition (DMD) is a method for…

Signal Processing · Electrical Eng. & Systems 2025-07-15 Ryohei Fukuma , Yoshinobu Kawahara , Okito Yamashita , Kei Majima , Haruhiko Kishima , Takufumi Yanagisawa

This paper proposes a computational method to efficiently and quickly estimate stability regions of droop control slopes for modular multilevel converter (MMC)-based multiterminal dc (MTDC) systems. The proposed method is based on a general…

Systems and Control · Electrical Eng. & Systems 2020-04-08 Yuntao Zou , Lei Zhang , Jiangchao Qin

The dynamic mode decomposition (DMD) technique extracts the dominant modes characterizing the innate dynamical behavior of the system within the measurement data. For appropriate identification of dominant modes from the measurement data,…

Systems and Control · Electrical Eng. & Systems 2022-10-25 G. Revati , Syed Shadab , K. Sonam , S. R. Wagh , N. M. Singh

Model order reduction (MOR) has long been a mainstream strategy to accelerate large-scale transient circuit simulation. Dynamic Mode Decomposition (DMD) represents a novel data-driven characterization method, extracting dominant dynamical…

Signal Processing · Electrical Eng. & Systems 2025-08-06 Na Liu , Chengliang Dai , Qiuyue Wu , Qiuqi Li , Guoxiong Cai

We investigate the stability properties of a multi-converter power system model, defined on a high-order manifold. For this, we identify its symmetry (i.e., rotational invariance) generated by a static angle shift and rotation of AC…

Optimization and Control · Mathematics 2022-01-27 Taouba Jouini , Zhiyong Sun

This work develops compressive sampling strategies for computing the dynamic mode decomposition (DMD) from heavily subsampled or output-projected data. The resulting DMD eigenvalues are equal to DMD eigenvalues from the full-state data. It…

Dynamical Systems · Mathematics 2013-12-19 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz
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