The effective regularization methods for solving ill-posed problems

Release time:2023-12-25Views:12

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


Speaker:Guangyu Gao (Harbin Institute of Technology)

 

Time:Friday, December29, 2023, 10:00-11:00 

  

Location: B201-1, Mingde Building


Abstract: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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