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This work recasts time-dependent optimal control problems governed by partial differential equations in a Dynamic Mode Decomposition with control framework. Indeed, since the numerical solution of such problems requires a lot of…

Optimization and Control · Mathematics 2022-03-25 Eleonora Donadini , Maria Strazzullo , Marco Tezzele , Gianluigi Rozza

The Dynamic Mode Decomposition (DMD)---a popular method for performing data-driven Koopman spectral analysis---has gained increased adoption as a technique for extracting dynamically meaningful spatio-temporal descriptions of fluid flows…

Fluid Dynamics · Physics 2017-07-13 Maziar S. Hemati , Clarence W. Rowley , Eric A. Deem , Louis N. Cattafesta

Artificial intelligence is transforming financial investment decision-making frameworks, with deep reinforcement learning demonstrating substantial potential in robo-advisory applications. This paper addresses the limitations of traditional…

Portfolio Management · Quantitative Finance 2025-02-24 Gang Huang , Xiaohua Zhou , Qingyang Song

Financial time series often exhibit low signal-to-noise ratio, posing significant challenges for accurate data interpretation and prediction and ultimately decision making. Generative models have gained attention as powerful tools for…

Machine Learning · Computer Science 2024-09-05 Zhuohan Wang , Carmine Ventre

Accurate channel state information (CSI) prediction is crucial for next-generation multiple-input multiple-output (MIMO) communication systems. Classical prediction methods often become inefficient for high-dimensional and rapidly…

Information Theory · Computer Science 2026-03-17 Irina Kopnina , Dmitry Artemasov , Sergey Matveev

The Dynamic Mode Decomposition (DMD) and the more general Extended DMD (EDMD) are powerful tools for computational analysis of dynamical systems in data-driven scenarios. They are built on the theoretical foundation of the Koopman…

Numerical Analysis · Mathematics 2026-04-06 Zlatko Drmač , Ela Đimoti

Deciding when to buy or sell a stock is not an easy task because the market is hard to predict, being influenced by political and economic factors. Thus, methodologies based on computational intelligence have been applied to this…

Statistical Finance · Quantitative Finance 2022-06-15 Elivelto Ebermam , Helder Knidel , Renato A. Krohling

Dynamic mode decomposition (DMD) represents an effective means for capturing the essential features of numerically or experimentally generated flow fields. In order to achieve a desirable tradeoff between the quality of approximation and…

Fluid Dynamics · Physics 2014-12-11 Mihailo R. Jovanović , Peter J. Schmid , Joseph W. Nichols

Deep metric learning maps visually similar images onto nearby locations and visually dissimilar images apart from each other in an embedding manifold. The learning process is mainly based on the supplied image negative and positive training…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Chang-Hui Liang , Wan-Lei Zhao , Run-Qing Chen

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

Dynamic mode decomposition (DMD) gives a practical means of extracting dynamic information from data, in the form of spatial modes and their associated frequencies and growth/decay rates. DMD can be considered as a numerical approximation…

Dynamical Systems · Mathematics 2017-10-03 Hao Zhang , Scott T. M. Dawson , Clarence W. Rowley , Eric A. Deem , Louis N. Cattafesta

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

This paper explores a novel data-driven approach based on recent developments in Koopman operator theory and dynamic mode decomposition (DMD) for modeling signalized intersections. Vehicular flow and queue formation on signalized…

Systems and Control · Electrical Eng. & Systems 2021-07-15 Kazi Redwan Shabab , Shakib Mustavee , Shaurya Agarwal , Mohamed H. Zaki , Sajal Das

The aim of this work is to create systematic trading strategies built upon several financial crisis indicators based on the spectral properties of market dynamics. Within the limitations of our framework and data, we will demonstrate that…

Mathematical Finance · Quantitative Finance 2017-09-11 Antoine Kornprobst

As neural networks grow in scale, their training becomes both computationally demanding and rich in dynamics. Amidst the flourishing interest in these training dynamics, we present a novel observation: Parameters during training exhibit…

Machine Learning · Computer Science 2024-07-24 Jonathan Brokman , Roy Betser , Rotem Turjeman , Tom Berkov , Ido Cohen , Guy Gilboa

We introduce a model-free approach for analyzing the risk and return for a broad class of dynamic trading strategies, including pairs trading, mean-reversion trading and other statistical arbitrage strategies, in terms of excursions of a…

Mathematical Finance · Quantitative Finance 2025-03-18 Anna Ananova , Rama Cont , Renyuan Xu

In this paper, we present a novel trading strategy that integrates reinforcement learning methods with clustering techniques for portfolio management in multi-period trading. Specifically, we leverage the clustering method to categorize…

Portfolio Management · Quantitative Finance 2023-10-03 Zhengyong Jiang , Jeyan Thiayagalingam , Jionglong Su , Jinjun Liang

Scientific research and engineering practice often require the modeling and decomposition of nonlinear systems. The Dynamic Mode Decomposition (DMD) is a novel Koopman-based technique that effectively dissects high-dimensional nonlinear…

The Dynamic Mode Decomposition (DMD) is a Koopman-based algorithm that straightforwardly isolates individual mechanisms from the compound morphology of direct measurement. However, many may be perplexed by the messages the DMD structures…

Fluid Dynamics · Physics 2021-12-03 Cruz Y. Li , Tim K. T. Tse , Gang Hu , Lei Zhou

As wind power penetration increases, the wind farms are required by newly released grid codes to provide frequency regulation service. The most critical challenge is how to formulate the dynamic model of wind farm for dynamic control, since…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Zizhen Guo , Wenchuan Wu