The effective regularization methods for solving ill-posed problems

发布时间:2023-12-25浏览次数:50

题目:The effective regularization methods for solving ill-posed problems


报告人:郜广宇(哈尔滨工业大学


时间:2023年12月29日(星期五)10:00-11:00 


地点:明德楼B区201-1报告厅


摘要:In this talk, we present a range of solutions and effective strategies for addressing the inverse problems, incorporating constraints on the Hilbert space and employing various optimization techniques. Specifically, the Kaczmarz-gradient, two-point gradient and homotopy perturbation methods are introduced. Additionally, leveraging deep learning technique as a tool, we derive an approach for adjusting convex penalties based on iterative adjustments. The rationality and efficiency of these methods are validated through numerical simulations involving multiple equations.


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