报告题目：Optimization and feasibility in radiotherapy and beyond

报告人：Aviv Gibali, Associate Professor, Department of Mathematics, Braude College of Engineering, Karmiel, Isreal

报告时间：2023年9月25日（周一）14:00-15:30

报告地点：20-200

报告摘要：Optimization models consist of decision variables, an objective (cost) function that needs to be maximized/minimized and some constraints. In some real-world applications such as radiotherapy, the goal is to find a treatment that fulfils all constraints, i.e., no objective function is involved. Such problems are called feasibility problems. 

In other applications, for example, in image reconstruction, the goal is to recover an image from some noisy measurements. In various scenarios like in medical imaging, it’s not sufficient to find a feasible solution and thus an additional objective is introduced that captures the desired recovered image structure.

In this talk I will present several applications that are modelled either as feasibility or optimization models and methods for solving them, mainly projection methods and superiorization.

报告人简介：Aviv Gibali is an Associate Professor at the Center for Mathematics and Scientific Computation, University of Haifa, Haifa, Israel and the Head of the Mathematics Department at the Braude College of Engineering (Israel). He obtained his Bachelor Degree in Mathematics at the University of Haifa in Israel (2005) and his PhD at The Technion – Israel Institute of Technology (2012) with a PhD thesis devoted to the development of algorithms for solving variational inequalities and its applications. Aviv is an algorithm designer in the field of Optimization with application to image processing, radiation therapy and more. He serves as Associate Editor for several high-ranked journals in the field such as Journal of Optimization Theory and Applications, Numerical Algorithms, Applied Numerical Mathematics and Fixed Point Theory and Algorithms for Sciences and Engineering. He published more than 90 scientific papers with publications with 4038 citations and H-index of 28.

邀请人：Professor Yekini Shehu