Modern Koopman theory for dynamical systems

SL Brunton, M Budišić, E Kaiser, JN Kutz - arXiv preprint arXiv:2102.12086, 2021 - arxiv.org
The field of dynamical systems is being transformed by the mathematical tools and
algorithms emerging from modern computing and data science. First-principles derivations …

Data-driven model reduction of agent-based systems using the Koopman generator

JH Niemann, S Klus, C Schütte - PloS one, 2021 - journals.plos.org
The dynamical behavior of social systems can be described by agent-based models.
Although single agents follow easily explainable rules, complex time-evolving patterns …

To trust or to stockpile: Modeling human-simulation interaction in supply chain shortages

O Mohaddesi, J Griffin, O Ergun, D Kaeli… - Proceedings of the …, 2022 - dl.acm.org
Understanding decision-making in dynamic and complex settings is a challenge yet
essential for preventing, mitigating, and responding to adverse events (eg, disasters …

Renormalization group as a Koopman operator

WT Redman - Physical Review E, 2020 - APS
Koopman operator theory is shown to be directly related to the renormalization group. This
observation allows us, with no assumption of translational invariance, to compute the critical …

[图书][B] Learning Reduced Models for Large-Scale Agent-Based Systems

JH Niemann - 2022 - search.proquest.com
Modeling social systems and studying their dynamical behavior plays an important role in
many fields of research. Agent-based modeling provides a high degree of detail into artificial …

Uses of Agent-Based Modeling and Simulation to Support Business Decision-Making for Healthcare Industry Leadership in the United States of America

E Whitney - 2022 - search.proquest.com
The current healthcare industry in the United States of America is heavily invested in data
analytics to help manage complex business challenges. The problem is that business …

Koopman Operator Theory and Dynamic Mode Decomposition in Data-Driven Science and Engineering A Comprehensive Review

R Ghosh, M Mcafee - 2024 - hal.science
Poincaré's geometric representation has long been fundamental in dynamical system
analysis. However, its limitations in handling high-dimensional and uncertain systems have …

Understanding Human Decision-Making in Supply Chains: Using Serious Gaming for Modeling Action, Thought, and the Environment

O Mohaddesi - 2023 - search.proquest.com
Understanding human decision-making in complex systems, such as supply chains, is a
challenging yet crucial task. Although various fields and disciplines, including psychology …