Taming Uncertainty in a Complex World: The Rise of Uncertainty Quantification -- A Tutorial for Beginners

Autor:	Chen, Nan, Wiggins, Stephen, Andreou, Marios
Rok vydání:	2024
Předmět:	Mathematics - Dynamical Systems Physics - Atmospheric and Oceanic Physics Physics - Data Analysis Statistics and Probability
Druh dokumentu:	Working Paper
Popis:	This paper provides a tutorial about uncertainty quantification (UQ) for those who have no background but are interested in learning more in this area. It exploits many very simple examples, which are understandable to undergraduates, to present the ideas of UQ. Topics include characterizing uncertainties using information theory, UQ in linear and nonlinear dynamical systems, UQ via data assimilation, the role of uncertainty in diagnostics, and UQ in advancing efficient modeling. The surprisingly simple examples in each topic explain why and how UQ is essential. Both Matlab and Python codes are made available for these simple examples. Comment: 33 pages, 15 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.01823 Zobrazit plný text záznamu View this record from Arxiv