Results 61 to 70 of about 472,452 (242)

Decompositions of Dynamical Systems Induced by the Koopman Operator [PDF]

Analysis Mathematica, 2021
For a topological dynamical system we characterize the decomposition of the state space induced by the fixed space of the corresponding Koopman operator. For this purpose, we introduce a hierarchy of generalized orbits and obtain the finest decomposition of the state space into absolutely Lyapunov stable sets. Analogously to the measure-preserving case,
openaire   +3 more sources

DeepMapper: Attention‐Based AutoEncoder for System Identification in Wound Healing and Stage Prediction

Advanced Intelligent Discovery, EarlyView.
The authors develop a deep learning model for real‐time tracking of wound progression. The deep learning framework maps the nonlinear evolution of a time series of images to a latent space, where they learn a linear representation of the dynamics. The linear model is interpretable and suitable for applications in feedback control.
Fan Lu, Ksenia Zlobina, Michael Briden, Oscar Avalos, Héctor Carrión, Sebastian Osorio, Hsin‐ya Yang, Alexandra Nava, Michelle D. Bagood, Marco Rolandi, Roslyn Rivkah Isseroff, Marcella Gomez   +11 more
wiley   +1 more source

On Koopman Operator for Burgers' Equation

, 2021
We consider the flow of Burgers' equation on an open set of (small) functions in $L^2([0,1])$. We derive explicitly the Koopman decomposition of the Burgers' flow.
Mendez, Miguel A, Najem, Sara, Balabane, Mikhael   +2 more
core   +1 more source

Short-Term Voltage Stability Prediction for Power Systems Based on a Dominant Koopman Operator-Enhanced MLE

IEEE Access
Short-term voltage stability (STVS) prediction is a critical technology for modern power systems with high penetration of renewable energy resources. To address the limitations of the traditional maximum Lyapunov exponent (MLE) in handling short-time ...
Han Gao, Deyou Yang, Yanling Lv, Lixin Wang   +3 more
doaj   +1 more source

Stabilizing RED Using the Koopman Operator

IEEE Signal Processing Letters
The widely used RED (Regularization-by-Denoising) framework uses pretrained denoisers as implicit regularizers for model-based reconstruction. Although RED generally yields high-fidelity reconstructions, the use of black-box denoisers can sometimes lead to instability.
Shraddha Chavan, Kunal N. Chaudhury
openaire   +2 more sources

Quantum machine learning optimization using Koopman operator technique [PDF]

Quantum machine learning (QML) is a nascent field showing great potential in addressing complex problems. QML algorithms aim to combine the qubit’s properties, like entanglement, interference, and superposition, to perform better than any classical ...
Siddharth Kalra, Sarika Jain, Pushpak, Subodh Nath   +2 more
core   +1 more source

A Review on Recent Trends of Bioinspired Soft Robotics: Actuators, Control Methods, Materials Selection, Sensors, Challenges, and Future Prospects

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
This article reviews the current state of bioinspired soft robotics. The article discusses soft actuators, soft sensors, materials selection, and control methods used in bioinspired soft robotics. It also highlights the challenges and future prospects of this field.
Abhirup Sarker, Tamzid Ul Islam, Md. Robiul Islam   +2 more
wiley   +1 more source

Koopman-Based Control System for Quadrotors in Noisy Environments

IEEE Access
It is well known that identification of the complete system dynamics is challenging, especially in noisy environments. The Koopman operator theory provides a linear representation of a nonlinear system using only the input/output data acquired from the ...
Yuna Oh, Myoung Hoon Lee, Jun Moon
doaj   +1 more source

Decarbonization in Financial Turbulent Times: Global Value Chains and Regulatory Framework

Business Strategy and the Environment, EarlyView.
ABSTRACT This study examines how participation in global value chains (GVCs) influences carbon emissions amid financial turbulence, with attention to cross‐country heterogeneity and distributional dynamics. Although existing research has explored trade–environment linkages, limited attention has been given to how GVC integration interacts with ...
Xiaoyong Xu, Lu Zhang, Kingsley Imandojemu, Felix Orole, Romanus Osabohien   +4 more
wiley   +1 more source

Maximizing Neurovascular Outcomes of Facial Transplantation: A Comprehensive Review

Clinical Anatomy, EarlyView.
ABSTRACT Facial transplantation is a division of reconstructive surgery which aims to improve the function and appearance of a face that has endured severe disfigurement. Currently, the face transplant procedure uses allogenic tissue, harvested from a brain‐dead donor, to replace damaged facial components.
Olivia A. James, Faye Bennett
wiley   +1 more source