Results 121 to 130 of about 903 (207)

Heterogeneous Mixtures of Dictionary Functions to Approximate Subspace Invariance in Koopman Operators: Why Deep Koopman Operators Work

Journal of Nonlinear Science
Abstract Koopman operators model nonlinear dynamics as a linear dynamic system acting on a nonlinear function as the state. This nonstandard state is often called a Koopman observable and is usually approximated numerically by a superposition of functions drawn from a dictionary. In a widely used algorithm, extended dynamic mode decomposition
Charles A. Johnson, Shara Balakrishnan, Enoch Yeung   +2 more
openaire   +2 more sources

Maximizing Neurovascular Outcomes of Facial Transplantation: A Comprehensive Review

Clinical Anatomy, Volume 39, Issue 8, Page 965-979, November 2026.
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

Learning Neural Koopman Operators with Dissipativity Guarantees

2025 IEEE 64th Conference on Decision and Control (CDC)
We address the problem of learning a neural Koopman operator model that provides dissipativity guarantees for an unknown nonlinear dynamical system that is known to be dissipative. We propose a two-stage approach. First, we learn an unconstrained neural Koopman model that closely approximates the system dynamics.
Yuezhu Xu, S. Sivaranjani, Vijay Gupta 0001   +2 more
openaire   +4 more sources

Analyzing the Azorubine (E122) Adsorption Mechanism on Alumina Using Molecular Dynamics Simulation and the Density Functional Theory Approach

ChemistryOpen, Volume 15, Issue 11, November 2026.
Molecular dynamics and density functional theory simulations reveal that azorubine (E122) is strongly chemisorbed onto γ‐Al2O3 (radial distribution function distances <3.5 Å), with form 2 showing the highest adsorption energy (−917.107 kcal/mol). Noncovalent interactions (NCI)/reduced density gradient and HOMO–LUMO analyses identify the active sites ...
Anouar Ameziane El Hassani, Malika Khnifira, Issam Ameziane El Hassani, Mohamed Adadi, Mohammed ALSaeedy, Adil Touimi Benjelloun, Mohamed Abdennouri   +6 more
wiley   +1 more source

Robust Low-Rank Tensor Approximation of Koopman Operators from Incomplete and Contaminated Lifted Data

Mathematics
Tensor-product dictionaries improve the expressiveness of finite-dimensional Koopman models but produce exponentially large dense operators, while least-squares fitting is sensitive to incomplete and contaminated data.
Linxu Hu, Yushu Gao, Zhaoqi Sun, Qingsong Wang   +3 more
doaj   +1 more source

Artificial Intelligence–Driven Graph Methods for Microbiome Research: A Systematic Review

WIREs Mechanisms of Disease, Volume 18, Issue 6, November/December 2026.
Multi‐omics and microbiome‐derived datasets were converted into deterministic and probabilistic network representations for downstream classical graph analysis and graph representation learning. This framework enables link prediction, relationship discovery, and node clustering to improve interpretation of complex biological interactions.
Cedrique Shum‐Tim, Paromita Islam, Jacqueline L. Boyajian, Ahmed Abosalha, Amal Kassab, Madison Santos, Kinaan Aamir Khan, Kiri Stern, Amin Emad, Satya Prakash   +9 more
wiley   +1 more source

Data-Driven Identification of Gas Turbine Engine Dynamics via Koopman Operator Genetic Algorithm

IEEE Access
Gas turbine engines (GTEs) are highly nonlinear control-nonaffine systems. Deriving their physics-based models can be challenging, particularly when some critical parameters can be difficult to measure or determine otherwise.
David Grasev
doaj   +1 more source

A Practical Guide to First‐Principles Calculations for Pseudocapacitive Materials: From Electrochemical Experiments to Atomistic Understanding

ChemElectroChem, Volume 13, Issue 20, 16 October 2026.
Electrochemical experiments reveal what happens, whereas first principles calculations explain why. Emerging computational electrochemistry is bridging these perspectives, enabling quantitative understanding of electrode/electrolyte interfaces and enabling the rational design of next‐generation energy storage materials.
Kenji Oqmhula, Ryo Maezono, Kenta Hongo
wiley   +1 more source

A deep Koopman operator‐based modelling approach for long‐term prediction of dynamics with pixel‐level measurements

CAAI Transactions on Intelligence Technology
Although previous studies have made some clear leap in learning latent dynamics from high‐dimensional representations, the performances in terms of accuracy and inference time of long‐term model prediction still need to be improved. In this study, a deep
Yongqian Xiao, Zixin Tang, Xin Xu, Xinglong Zhang, Yifei Shi   +4 more
doaj   +1 more source

Koopman fault‐tolerant model predictive control

IET Control Theory & Applications
This paper introduces a novel data‐driven approach to develop a fault‐tolerant model predictive controller (MPC) for non‐linear systems. By adopting a Koopman operator‐theoretic perspective, the proposed method leverages historical data from the system ...
Mohammadhosein Bakhtiaridoust, Meysam Yadegar, Fatemeh Jahangiri   +2 more
doaj   +1 more source