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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

2020

Dissertations

Databases and Information Systems

Convergence rate

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Global Optimization Algorithms For Image Registration And Clustering, Cuicui Zheng Aug 2020

Global Optimization Algorithms For Image Registration And Clustering, Cuicui Zheng

Dissertations

Global optimization is a classical problem of finding the minimum or maximum value of an objective function. It has applications in many areas, such as biological image analysis, chemistry, mechanical engineering, financial analysis, deep learning and image processing. For practical applications, it is important to understand the efficiency of global optimization algorithms. This dissertation develops and analyzes some new global optimization algorithms and applies them to practical problems, mainly for image registration and data clustering.

First, the dissertation presents a new global optimization algorithm which approximates the optimum using only function values. The basic idea is to use the points …